TSTP Solution File: ALG127+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ALG127+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 6 16:08:21 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : Proof 2.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG127+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 13:42:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 % SZS output start Proof
% 0.18/0.47 tff(op2_type, type, (
% 0.18/0.47 op2: ( $i * $i ) > $i)).
% 0.18/0.47 tff(h4_type, type, (
% 0.18/0.47 h4: $i > $i)).
% 0.18/0.47 tff(e12_type, type, (
% 0.18/0.47 e12: $i)).
% 0.18/0.47 tff(op1_type, type, (
% 0.18/0.47 op1: ( $i * $i ) > $i)).
% 0.18/0.47 tff(h2_type, type, (
% 0.18/0.47 h2: $i > $i)).
% 0.18/0.47 tff(h3_type, type, (
% 0.18/0.47 h3: $i > $i)).
% 0.18/0.47 tff(h1_type, type, (
% 0.18/0.47 h1: $i > $i)).
% 0.18/0.47 tff(e22_type, type, (
% 0.18/0.47 e22: $i)).
% 0.18/0.47 tff(e21_type, type, (
% 0.18/0.47 e21: $i)).
% 0.18/0.47 tff(e23_type, type, (
% 0.18/0.47 e23: $i)).
% 0.18/0.47 tff(e20_type, type, (
% 0.18/0.47 e20: $i)).
% 0.18/0.47 tff(e13_type, type, (
% 0.18/0.47 e13: $i)).
% 0.18/0.47 tff(e11_type, type, (
% 0.18/0.47 e11: $i)).
% 0.18/0.47 tff(e10_type, type, (
% 0.18/0.47 e10: $i)).
% 0.18/0.47 tff(1,plain,
% 0.18/0.47 ((h1(e12) = h2(e12)) <=> (h2(e12) = h1(e12))),
% 0.18/0.47 inference(commutativity,[status(thm)],[])).
% 0.18/0.47 tff(2,plain,
% 0.18/0.47 ((h2(e12) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h2(e12))),
% 0.18/0.47 inference(commutativity,[status(thm)],[])).
% 0.18/0.47 tff(3,assumption,(op2(h2(e12), h2(e12)) = h2(e12)), introduced(assumption)).
% 0.18/0.47 tff(4,plain,
% 0.18/0.47 ((op2(h2(e12), h2(e12)) = op2(h2(e12), h3(e12))) <=> (h2(e12) = op2(h2(e12), h3(e12)))),
% 0.18/0.47 inference(monotonicity,[status(thm)],[3])).
% 0.18/0.47 tff(5,plain,
% 0.18/0.47 ((op2(h2(e12), h2(e12)) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h2(e12))),
% 0.18/0.47 inference(transitivity,[status(thm)],[4, 2])).
% 0.18/0.47 tff(6,plain,
% 0.18/0.47 ((~(op2(h2(e12), h2(e12)) = op2(h2(e12), h3(e12)))) <=> (~(op2(h2(e12), h3(e12)) = h2(e12)))),
% 0.18/0.47 inference(monotonicity,[status(thm)],[5])).
% 0.18/0.47 tff(7,plain,
% 0.18/0.47 ((~(h2(op1(e12, e12)) = op2(h2(e12), h3(e12)))) <=> (~(op2(h2(e12), h2(e12)) = op2(h2(e12), h3(e12))))),
% 0.18/0.47 inference(rewrite,[status(thm)],[])).
% 0.18/0.47 tff(8,plain,
% 0.18/0.47 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)))) <=> (~(h2(op1(e12, e12)) = op2(h2(e12), h3(e12))))),
% 0.18/0.47 inference(rewrite,[status(thm)],[])).
% 0.18/0.47 tff(9,plain,
% 0.18/0.47 ((~(op2(e21, e21) = op2(e21, e22))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12))))),
% 0.18/0.47 inference(rewrite,[status(thm)],[])).
% 0.18/0.47 tff(10,plain,
% 0.18/0.47 ((~(op2(e21, e21) = op2(e21, e22))) <=> (~(op2(e21, e21) = op2(e21, e22)))),
% 0.18/0.47 inference(rewrite,[status(thm)],[])).
% 0.18/0.47 tff(11,axiom,((((((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))) & (~(op2(e23, e21) = op2(e23, e22)))) & (~(op2(e23, e21) = op2(e23, e23)))) & (~(op2(e23, e22) = op2(e23, e23)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax6')).
% 0.18/0.47 tff(12,plain,
% 0.18/0.47 (((((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))) & (~(op2(e23, e21) = op2(e23, e22)))) & (~(op2(e23, e21) = op2(e23, e23)))),
% 0.18/0.47 inference(and_elim,[status(thm)],[11])).
% 0.18/0.47 tff(13,plain,
% 0.18/0.47 ((((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))) & (~(op2(e23, e21) = op2(e23, e22)))),
% 0.18/0.47 inference(and_elim,[status(thm)],[12])).
% 0.18/0.47 tff(14,plain,
% 0.18/0.47 (((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))) & (~(op2(e23, e20) = op2(e23, e23)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[13])).
% 0.18/0.48 tff(15,plain,
% 0.18/0.48 ((((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))) & (~(op2(e23, e20) = op2(e23, e22)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[14])).
% 0.18/0.48 tff(16,plain,
% 0.18/0.48 (((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))) & (~(op2(e23, e20) = op2(e23, e21)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[15])).
% 0.18/0.48 tff(17,plain,
% 0.18/0.48 ((((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))) & (~(op2(e22, e22) = op2(e22, e23)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[16])).
% 0.18/0.48 tff(18,plain,
% 0.18/0.48 (((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))) & (~(op2(e22, e21) = op2(e22, e23)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[17])).
% 0.18/0.48 tff(19,plain,
% 0.18/0.48 ((((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))) & (~(op2(e22, e21) = op2(e22, e22)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[18])).
% 0.18/0.48 tff(20,plain,
% 0.18/0.48 (((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))) & (~(op2(e22, e20) = op2(e22, e23)))),
% 0.18/0.48 inference(and_elim,[status(thm)],[19])).
% 0.18/0.48 tff(21,plain,
% 0.18/0.48 ((((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))) & (~(op2(e22, e20) = op2(e22, e22)))),
% 0.18/0.49 inference(and_elim,[status(thm)],[20])).
% 0.18/0.49 tff(22,plain,
% 0.18/0.49 (((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))) & (~(op2(e22, e20) = op2(e22, e21)))),
% 0.18/0.49 inference(and_elim,[status(thm)],[21])).
% 0.18/0.49 tff(23,plain,
% 0.18/0.49 ((((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))) & (~(op2(e21, e22) = op2(e21, e23)))),
% 0.18/0.49 inference(and_elim,[status(thm)],[22])).
% 0.18/0.49 tff(24,plain,
% 0.18/0.49 (((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))) & (~(op2(e21, e21) = op2(e21, e23)))),
% 0.18/0.49 inference(and_elim,[status(thm)],[23])).
% 0.18/0.49 tff(25,plain,
% 0.18/0.49 ((((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))) & (~(op2(e21, e21) = op2(e21, e22)))),
% 0.18/0.49 inference(and_elim,[status(thm)],[24])).
% 0.18/0.49 tff(26,plain,
% 0.18/0.49 (~(op2(e21, e21) = op2(e21, e22))),
% 0.18/0.49 inference(and_elim,[status(thm)],[25])).
% 0.18/0.49 tff(27,plain,
% 0.18/0.49 (~(op2(e21, e21) = op2(e21, e22))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[26, 10])).
% 0.18/0.49 tff(28,plain,
% 0.18/0.49 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[27, 9])).
% 0.18/0.49 tff(29,plain,
% 0.18/0.49 (~(h2(op1(e12, e12)) = op2(h2(e12), h3(e12)))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[28, 8])).
% 0.18/0.49 tff(30,plain,
% 0.18/0.49 (~(op2(h2(e12), h2(e12)) = op2(h2(e12), h3(e12)))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[29, 7])).
% 0.18/0.49 tff(31,plain,
% 0.18/0.49 (~(op2(h2(e12), h3(e12)) = h2(e12))),
% 0.18/0.49 inference(modus_ponens,[status(thm)],[30, 6])).
% 0.18/0.49 tff(32,plain,
% 0.18/0.49 (((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | (op2(h2(e12), h3(e12)) = h2(e12))),
% 0.18/0.49 inference(tautology,[status(thm)],[])).
% 0.18/0.49 tff(33,plain,
% 0.18/0.49 ((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))),
% 0.18/0.49 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.18/0.49 tff(34,plain,
% 0.18/0.50 (((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) | (~(op2(h2(e12), h2(e12)) = h2(e12)))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(35,plain,
% 0.18/0.50 ((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[34, 3])).
% 0.18/0.50 tff(36,plain,
% 0.18/0.50 (((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) | (~(op2(h2(e12), h2(e12)) = h2(e12)))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(37,plain,
% 0.18/0.50 ((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[36, 3])).
% 0.18/0.50 tff(38,plain,
% 0.18/0.50 (((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))))) | (~(op2(h2(e12), h2(e12)) = h2(e12)))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(39,plain,
% 0.18/0.50 ((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[38, 3])).
% 0.18/0.50 tff(40,plain,
% 0.18/0.50 ((h2(e12) = op2(h2(e12), h4(e12))) <=> (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.18/0.50 inference(commutativity,[status(thm)],[])).
% 0.18/0.50 tff(41,plain,
% 0.18/0.50 ((op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12))) <=> (h2(e12) = op2(h2(e12), h4(e12)))),
% 0.18/0.50 inference(monotonicity,[status(thm)],[3])).
% 0.18/0.50 tff(42,plain,
% 0.18/0.50 ((op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12))) <=> (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.18/0.50 inference(transitivity,[status(thm)],[41, 40])).
% 0.18/0.50 tff(43,plain,
% 0.18/0.50 ((~(op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12)))) <=> (~(op2(h2(e12), h4(e12)) = h2(e12)))),
% 0.18/0.50 inference(monotonicity,[status(thm)],[42])).
% 0.18/0.50 tff(44,plain,
% 0.18/0.50 ((~(h2(op1(e12, e12)) = op2(h2(e12), h4(e12)))) <=> (~(op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(45,plain,
% 0.18/0.50 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))))) <=> (~(h2(op1(e12, e12)) = op2(h2(e12), h4(e12))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(46,plain,
% 0.18/0.50 ((~(op2(e21, e21) = op2(e21, e23))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12)))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(47,plain,
% 0.18/0.50 ((~(op2(e21, e21) = op2(e21, e23))) <=> (~(op2(e21, e21) = op2(e21, e23)))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(48,plain,
% 0.18/0.50 (~(op2(e21, e21) = op2(e21, e23))),
% 0.18/0.50 inference(and_elim,[status(thm)],[24])).
% 0.18/0.50 tff(49,plain,
% 0.18/0.50 (~(op2(e21, e21) = op2(e21, e23))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.18/0.50 tff(50,plain,
% 0.18/0.50 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[49, 46])).
% 0.18/0.50 tff(51,plain,
% 0.18/0.50 (~(h2(op1(e12, e12)) = op2(h2(e12), h4(e12)))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[50, 45])).
% 0.18/0.50 tff(52,plain,
% 0.18/0.50 (~(op2(h2(e12), h2(e12)) = op2(h2(e12), h4(e12)))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[51, 44])).
% 0.18/0.50 tff(53,plain,
% 0.18/0.50 (~(op2(h2(e12), h4(e12)) = h2(e12))),
% 0.18/0.50 inference(modus_ponens,[status(thm)],[52, 43])).
% 0.18/0.50 tff(54,plain,
% 0.18/0.50 (((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))) | (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(55,plain,
% 0.18/0.50 ((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.18/0.50 tff(56,plain,
% 0.18/0.50 ((h1(e12) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 0.18/0.50 inference(commutativity,[status(thm)],[])).
% 0.18/0.50 tff(57,assumption,(op2(h1(e12), h1(e12)) = h1(e12)), introduced(assumption)).
% 0.18/0.50 tff(58,plain,
% 0.18/0.50 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))) <=> (h1(e12) = op2(h1(e12), h3(e12)))),
% 0.18/0.50 inference(monotonicity,[status(thm)],[57])).
% 0.18/0.50 tff(59,plain,
% 0.18/0.50 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 0.18/0.50 inference(transitivity,[status(thm)],[58, 56])).
% 0.18/0.50 tff(60,plain,
% 0.18/0.50 ((op2(h1(e12), h3(e12)) = h1(e12)) <=> (op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12)))),
% 0.18/0.50 inference(symmetry,[status(thm)],[59])).
% 0.18/0.50 tff(61,assumption,((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))), introduced(assumption)).
% 0.18/0.50 tff(62,assumption,((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))), introduced(assumption)).
% 0.18/0.50 tff(63,assumption,((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))), introduced(assumption)).
% 0.18/0.50 tff(64,assumption,((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))))), introduced(assumption)).
% 0.18/0.50 tff(65,assumption,((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))), introduced(assumption)).
% 0.18/0.50 tff(66,plain,
% 0.18/0.50 (((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12)))) | (~(op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.18/0.50 inference(tautology,[status(thm)],[])).
% 0.18/0.50 tff(67,plain,
% 0.18/0.50 ((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12)))),
% 0.18/0.50 inference(unit_resolution,[status(thm)],[66, 57])).
% 0.18/0.50 tff(68,plain,
% 0.18/0.50 ((h4(e12) = op2(op2(h3(e12), h3(e12)), h3(e12))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))),
% 0.18/0.50 inference(commutativity,[status(thm)],[])).
% 0.18/0.50 tff(69,plain,
% 0.18/0.50 ((~(h4(e12) = op2(op2(h3(e12), h3(e12)), h3(e12)))) <=> (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))),
% 0.18/0.50 inference(monotonicity,[status(thm)],[68])).
% 0.18/0.50 tff(70,plain,
% 0.18/0.50 ((~(op2(h3(e12), h3(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) <=> (~(h4(e12) = op2(op2(h3(e12), h3(e12)), h3(e12))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(71,plain,
% 0.18/0.50 ((~(op2(e22, e22) = op2(e23, e22))) <=> (~(op2(h3(e12), h3(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(72,plain,
% 0.18/0.50 ((~(op2(e22, e22) = op2(e23, e22))) <=> (~(op2(e22, e22) = op2(e23, e22)))),
% 0.18/0.50 inference(rewrite,[status(thm)],[])).
% 0.18/0.50 tff(73,plain,
% 0.18/0.50 (((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))) & (~(op2(e21, e20) = op2(e21, e23)))),
% 0.18/0.50 inference(and_elim,[status(thm)],[25])).
% 0.18/0.50 tff(74,plain,
% 0.18/0.50 ((((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))) & (~(op2(e21, e20) = op2(e21, e22)))),
% 0.18/0.50 inference(and_elim,[status(thm)],[73])).
% 0.18/0.50 tff(75,plain,
% 0.18/0.50 (((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))) & (~(op2(e21, e20) = op2(e21, e21)))),
% 0.18/0.50 inference(and_elim,[status(thm)],[74])).
% 0.18/0.50 tff(76,plain,
% 0.18/0.50 ((((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))) & (~(op2(e20, e22) = op2(e20, e23)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[75])).
% 0.18/0.51 tff(77,plain,
% 0.18/0.51 (((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))) & (~(op2(e20, e21) = op2(e20, e23)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[76])).
% 0.18/0.51 tff(78,plain,
% 0.18/0.51 ((((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))) & (~(op2(e20, e21) = op2(e20, e22)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[77])).
% 0.18/0.51 tff(79,plain,
% 0.18/0.51 (((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))) & (~(op2(e20, e20) = op2(e20, e23)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[78])).
% 0.18/0.51 tff(80,plain,
% 0.18/0.51 ((((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))) & (~(op2(e20, e20) = op2(e20, e22)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[79])).
% 0.18/0.51 tff(81,plain,
% 0.18/0.51 (((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))) & (~(op2(e20, e20) = op2(e20, e21)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[80])).
% 0.18/0.51 tff(82,plain,
% 0.18/0.51 ((((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))) & (~(op2(e22, e23) = op2(e23, e23)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[81])).
% 0.18/0.51 tff(83,plain,
% 0.18/0.51 (((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))) & (~(op2(e21, e23) = op2(e23, e23)))),
% 0.18/0.51 inference(and_elim,[status(thm)],[82])).
% 0.18/0.51 tff(84,plain,
% 0.18/0.51 ((((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))) & (~(op2(e21, e23) = op2(e22, e23)))),
% 0.18/0.52 inference(and_elim,[status(thm)],[83])).
% 0.18/0.52 tff(85,plain,
% 0.18/0.52 (((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))) & (~(op2(e20, e23) = op2(e23, e23)))),
% 0.18/0.52 inference(and_elim,[status(thm)],[84])).
% 0.18/0.52 tff(86,plain,
% 0.18/0.52 ((((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))) & (~(op2(e20, e23) = op2(e22, e23)))),
% 0.18/0.52 inference(and_elim,[status(thm)],[85])).
% 0.18/0.52 tff(87,plain,
% 0.18/0.52 (((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))) & (~(op2(e20, e23) = op2(e21, e23)))),
% 0.18/0.52 inference(and_elim,[status(thm)],[86])).
% 0.18/0.52 tff(88,plain,
% 0.18/0.52 ((((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))) & (~(op2(e22, e22) = op2(e23, e22)))),
% 0.18/0.52 inference(and_elim,[status(thm)],[87])).
% 0.18/0.52 tff(89,plain,
% 0.18/0.52 (~(op2(e22, e22) = op2(e23, e22))),
% 0.18/0.52 inference(and_elim,[status(thm)],[88])).
% 0.18/0.52 tff(90,plain,
% 0.18/0.52 (~(op2(e22, e22) = op2(e23, e22))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[89, 72])).
% 0.18/0.52 tff(91,plain,
% 0.18/0.52 (~(op2(h3(e12), h3(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[90, 71])).
% 0.18/0.52 tff(92,plain,
% 0.18/0.52 (~(h4(e12) = op2(op2(h3(e12), h3(e12)), h3(e12)))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[91, 70])).
% 0.18/0.52 tff(93,plain,
% 0.18/0.52 (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))),
% 0.18/0.52 inference(modus_ponens,[status(thm)],[92, 69])).
% 0.18/0.52 tff(94,plain,
% 0.18/0.52 (((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))),
% 0.18/0.52 inference(tautology,[status(thm)],[])).
% 0.18/0.52 tff(95,plain,
% 0.18/0.52 ((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))),
% 0.18/0.52 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.18/0.52 tff(96,plain,
% 0.18/0.52 (((~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))))) | (~((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))))) <=> ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))) | (~((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) | (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(97,plain,
% 0.18/0.52 (((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) <=> (~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(98,plain,
% 0.18/0.52 (((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) <=> (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(99,plain,
% 0.18/0.52 (((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) <=> (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(100,plain,
% 0.18/0.52 (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) <=> (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12)))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(101,plain,
% 0.18/0.52 (((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) <=> (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(102,plain,
% 0.18/0.52 (((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) <=> (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(103,plain,
% 0.18/0.52 (((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) <=> (~((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(104,plain,
% 0.18/0.52 (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) <=> (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))))),
% 0.18/0.52 inference(rewrite,[status(thm)],[])).
% 0.18/0.52 tff(105,plain,
% 0.18/0.52 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> ((~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))))) | (~((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))))),
% 0.18/0.53 inference(monotonicity,[status(thm)],[104, 103, 102, 101, 100, 99, 98, 97])).
% 0.18/0.53 tff(106,plain,
% 0.18/0.53 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))) | (~((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) | (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))))))),
% 0.18/0.53 inference(transitivity,[status(thm)],[105, 96])).
% 0.18/0.53 tff(107,plain,
% 0.18/0.53 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.18/0.53 inference(rewrite,[status(thm)],[])).
% 0.18/0.53 tff(108,plain,
% 0.18/0.53 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.18/0.54 inference(rewrite,[status(thm)],[])).
% 0.18/0.54 tff(109,plain,
% 0.18/0.54 (((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) <=> ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.18/0.54 inference(rewrite,[status(thm)],[])).
% 0.18/0.54 tff(110,plain,
% 0.18/0.54 (((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12))))),
% 0.18/0.54 inference(rewrite,[status(thm)],[])).
% 0.18/0.54 tff(111,plain,
% 0.18/0.54 (((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.18/0.54 inference(rewrite,[status(thm)],[])).
% 0.18/0.54 tff(112,plain,
% 0.18/0.54 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))))),
% 0.18/0.54 inference(monotonicity,[status(thm)],[111, 110, 109])).
% 0.18/0.54 tff(113,plain,
% 0.18/0.54 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.18/0.54 inference(transitivity,[status(thm)],[112, 108])).
% 0.18/0.54 tff(114,plain,
% 0.18/0.54 ((((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))))),
% 0.18/0.54 inference(rewrite,[status(thm)],[])).
% 0.18/0.54 tff(115,plain,
% 0.18/0.54 ((((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(116,plain,
% 0.18/0.55 (((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) <=> ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(117,plain,
% 0.18/0.55 (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))),
% 0.18/0.55 inference(rewrite,[status(thm)],[])).
% 0.18/0.55 tff(118,plain,
% 0.18/0.55 ((((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.18/0.55 inference(monotonicity,[status(thm)],[117, 116])).
% 0.18/0.55 tff(119,plain,
% 0.18/0.55 ((((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))))),
% 0.41/0.56 inference(transitivity,[status(thm)],[118, 115])).
% 0.41/0.56 tff(120,plain,
% 0.41/0.56 ((((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) <=> (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(121,plain,
% 0.41/0.56 ((((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12))))) <=> (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(122,plain,
% 0.41/0.56 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(123,plain,
% 0.41/0.56 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(124,plain,
% 0.41/0.56 (((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) <=> ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(125,plain,
% 0.41/0.56 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(126,plain,
% 0.41/0.56 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))),
% 0.41/0.56 inference(rewrite,[status(thm)],[])).
% 0.41/0.56 tff(127,plain,
% 0.41/0.56 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(128,plain,
% 0.41/0.57 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(129,plain,
% 0.41/0.57 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(130,plain,
% 0.41/0.57 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))) <=> (((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))))),
% 0.43/0.57 inference(monotonicity,[status(thm)],[129, 128, 127, 126, 125, 124, 123, 122])).
% 0.43/0.57 tff(131,plain,
% 0.43/0.57 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))) <=> (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.43/0.58 inference(transitivity,[status(thm)],[130, 121])).
% 0.43/0.58 tff(132,plain,
% 0.43/0.58 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | $false | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | $false | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | $false) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(133,plain,
% 0.43/0.58 (($false & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) <=> $false),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(134,plain,
% 0.43/0.58 (($true | $true) <=> $true),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(135,plain,
% 0.43/0.58 ((~$false) <=> $true),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(136,plain,
% 0.43/0.58 ((~(e21 = e22)) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(137,plain,
% 0.43/0.58 ((~(e21 = e22)) <=> (~(e21 = e22))),
% 0.43/0.58 inference(rewrite,[status(thm)],[])).
% 0.43/0.58 tff(138,axiom,((((((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))) & (~(e21 = e22))) & (~(e21 = e23))) & (~(e22 = e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax8')).
% 0.43/0.58 tff(139,plain,
% 0.43/0.58 (((((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))) & (~(e21 = e22))) & (~(e21 = e23))),
% 0.43/0.58 inference(and_elim,[status(thm)],[138])).
% 0.43/0.58 tff(140,plain,
% 0.43/0.58 ((((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))) & (~(e21 = e22))),
% 0.43/0.58 inference(and_elim,[status(thm)],[139])).
% 0.43/0.58 tff(141,plain,
% 0.43/0.58 (~(e21 = e22)),
% 0.43/0.58 inference(and_elim,[status(thm)],[140])).
% 0.43/0.58 tff(142,plain,
% 0.43/0.58 (~(e21 = e22)),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.43/0.58 tff(143,plain,
% 0.43/0.58 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))),
% 0.43/0.58 inference(modus_ponens,[status(thm)],[142, 136])).
% 0.43/0.58 tff(144,plain,
% 0.43/0.58 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) <=> $false),
% 0.43/0.58 inference(iff_false,[status(thm)],[143])).
% 0.43/0.58 tff(145,plain,
% 0.43/0.59 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) <=> (~$false)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[144])).
% 0.43/0.59 tff(146,plain,
% 0.43/0.59 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) <=> $true),
% 0.43/0.59 inference(transitivity,[status(thm)],[145, 135])).
% 0.43/0.59 tff(147,plain,
% 0.43/0.59 ((~(op2(e22, e22) = op2(e22, e23))) <=> (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(148,plain,
% 0.43/0.59 ((~(op2(e22, e22) = op2(e22, e23))) <=> (~(op2(e22, e22) = op2(e22, e23)))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(149,plain,
% 0.43/0.59 (~(op2(e22, e22) = op2(e22, e23))),
% 0.43/0.59 inference(and_elim,[status(thm)],[17])).
% 0.43/0.59 tff(150,plain,
% 0.43/0.59 (~(op2(e22, e22) = op2(e22, e23))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.43/0.59 tff(151,plain,
% 0.43/0.59 (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[150, 147])).
% 0.43/0.59 tff(152,plain,
% 0.43/0.59 ((op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> $false),
% 0.43/0.59 inference(iff_false,[status(thm)],[151])).
% 0.43/0.59 tff(153,plain,
% 0.43/0.59 ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~$false)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[152])).
% 0.43/0.59 tff(154,plain,
% 0.43/0.59 ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> $true),
% 0.43/0.59 inference(transitivity,[status(thm)],[153, 135])).
% 0.43/0.59 tff(155,plain,
% 0.43/0.59 (((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) <=> ($true | $true)),
% 0.43/0.59 inference(monotonicity,[status(thm)],[154, 146])).
% 0.43/0.59 tff(156,plain,
% 0.43/0.59 (((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) <=> $true),
% 0.43/0.59 inference(transitivity,[status(thm)],[155, 134])).
% 0.43/0.59 tff(157,plain,
% 0.43/0.59 ((~(op2(e21, e20) = op2(e22, e20))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(158,plain,
% 0.43/0.59 ((~(op2(e21, e20) = op2(e22, e20))) <=> (~(op2(e21, e20) = op2(e22, e20)))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(159,plain,
% 0.43/0.59 (((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))) & (~(op2(e21, e22) = op2(e23, e22)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[88])).
% 0.43/0.59 tff(160,plain,
% 0.43/0.59 ((((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))) & (~(op2(e21, e22) = op2(e22, e22)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[159])).
% 0.43/0.59 tff(161,plain,
% 0.43/0.59 (((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))) & (~(op2(e20, e22) = op2(e23, e22)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[160])).
% 0.43/0.59 tff(162,plain,
% 0.43/0.59 ((((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))) & (~(op2(e20, e22) = op2(e22, e22)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[161])).
% 0.43/0.59 tff(163,plain,
% 0.43/0.59 (((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))) & (~(op2(e20, e22) = op2(e21, e22)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[162])).
% 0.43/0.59 tff(164,plain,
% 0.43/0.59 ((((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))) & (~(op2(e22, e21) = op2(e23, e21)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[163])).
% 0.43/0.59 tff(165,plain,
% 0.43/0.59 (((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))) & (~(op2(e21, e21) = op2(e23, e21)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[164])).
% 0.43/0.59 tff(166,plain,
% 0.43/0.59 ((((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))) & (~(op2(e21, e21) = op2(e22, e21)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[165])).
% 0.43/0.59 tff(167,plain,
% 0.43/0.59 (((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))) & (~(op2(e20, e21) = op2(e23, e21)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[166])).
% 0.43/0.59 tff(168,plain,
% 0.43/0.59 ((((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))) & (~(op2(e20, e21) = op2(e22, e21)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[167])).
% 0.43/0.59 tff(169,plain,
% 0.43/0.59 (((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))) & (~(op2(e20, e21) = op2(e21, e21)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[168])).
% 0.43/0.59 tff(170,plain,
% 0.43/0.59 ((((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))) & (~(op2(e22, e20) = op2(e23, e20)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[169])).
% 0.43/0.59 tff(171,plain,
% 0.43/0.59 (((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))) & (~(op2(e21, e20) = op2(e23, e20)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[170])).
% 0.43/0.59 tff(172,plain,
% 0.43/0.59 ((((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))) & (~(op2(e21, e20) = op2(e22, e20)))),
% 0.43/0.59 inference(and_elim,[status(thm)],[171])).
% 0.43/0.59 tff(173,plain,
% 0.43/0.59 (~(op2(e21, e20) = op2(e22, e20))),
% 0.43/0.59 inference(and_elim,[status(thm)],[172])).
% 0.43/0.59 tff(174,plain,
% 0.43/0.59 (~(op2(e21, e20) = op2(e22, e20))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[173, 158])).
% 0.43/0.59 tff(175,plain,
% 0.43/0.59 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.43/0.59 inference(modus_ponens,[status(thm)],[174, 157])).
% 0.43/0.59 tff(176,plain,
% 0.43/0.59 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> $false),
% 0.43/0.59 inference(iff_false,[status(thm)],[175])).
% 0.43/0.59 tff(177,plain,
% 0.43/0.59 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) <=> ($false & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.59 inference(monotonicity,[status(thm)],[176, 156])).
% 0.43/0.59 tff(178,plain,
% 0.43/0.59 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) <=> $false),
% 0.43/0.59 inference(transitivity,[status(thm)],[177, 133])).
% 0.43/0.59 tff(179,plain,
% 0.43/0.59 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.43/0.59 inference(rewrite,[status(thm)],[])).
% 0.43/0.59 tff(180,plain,
% 0.43/0.59 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(181,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) <=> ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[180, 179])).
% 0.43/0.60 tff(182,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(183,plain,
% 0.43/0.60 (($true | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> $true),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(184,plain,
% 0.43/0.60 ((~(op2(e20, e20) = op2(e22, e20))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(185,plain,
% 0.43/0.60 ((~(op2(e20, e20) = op2(e22, e20))) <=> (~(op2(e20, e20) = op2(e22, e20)))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(186,plain,
% 0.43/0.60 (((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))) & (~(op2(e20, e20) = op2(e23, e20)))),
% 0.43/0.60 inference(and_elim,[status(thm)],[172])).
% 0.43/0.60 tff(187,plain,
% 0.43/0.60 ((~(op2(e20, e20) = op2(e21, e20))) & (~(op2(e20, e20) = op2(e22, e20)))),
% 0.43/0.60 inference(and_elim,[status(thm)],[186])).
% 0.43/0.60 tff(188,plain,
% 0.43/0.60 (~(op2(e20, e20) = op2(e22, e20))),
% 0.43/0.60 inference(and_elim,[status(thm)],[187])).
% 0.43/0.60 tff(189,plain,
% 0.43/0.60 (~(op2(e20, e20) = op2(e22, e20))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[188, 185])).
% 0.43/0.60 tff(190,plain,
% 0.43/0.60 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.43/0.60 inference(modus_ponens,[status(thm)],[189, 184])).
% 0.43/0.60 tff(191,plain,
% 0.43/0.60 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> $false),
% 0.43/0.60 inference(iff_false,[status(thm)],[190])).
% 0.43/0.60 tff(192,plain,
% 0.43/0.60 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~$false)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[191])).
% 0.43/0.60 tff(193,plain,
% 0.43/0.60 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> $true),
% 0.43/0.60 inference(transitivity,[status(thm)],[192, 135])).
% 0.43/0.60 tff(194,plain,
% 0.43/0.60 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ($true | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[193])).
% 0.43/0.60 tff(195,plain,
% 0.43/0.60 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> $true),
% 0.43/0.60 inference(transitivity,[status(thm)],[194, 183])).
% 0.43/0.60 tff(196,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[195])).
% 0.43/0.60 tff(197,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.43/0.60 inference(transitivity,[status(thm)],[196, 182])).
% 0.43/0.60 tff(198,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & $true & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(199,plain,
% 0.43/0.60 (($true | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> $true),
% 0.43/0.60 inference(rewrite,[status(thm)],[])).
% 0.43/0.60 tff(200,plain,
% 0.43/0.60 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~$false)),
% 0.43/0.60 inference(monotonicity,[status(thm)],[176])).
% 0.43/0.60 tff(201,plain,
% 0.43/0.60 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> $true),
% 0.43/0.60 inference(transitivity,[status(thm)],[200, 135])).
% 0.43/0.60 tff(202,plain,
% 0.43/0.60 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ($true | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[201])).
% 0.43/0.60 tff(203,plain,
% 0.43/0.60 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> $true),
% 0.43/0.60 inference(transitivity,[status(thm)],[202, 199])).
% 0.43/0.60 tff(204,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & $true & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.60 inference(monotonicity,[status(thm)],[203, 156])).
% 0.43/0.60 tff(205,plain,
% 0.43/0.60 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.43/0.61 inference(transitivity,[status(thm)],[204, 198])).
% 0.43/0.61 tff(206,plain,
% 0.43/0.61 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(207,plain,
% 0.43/0.61 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[195])).
% 0.43/0.61 tff(208,plain,
% 0.43/0.61 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.61 inference(transitivity,[status(thm)],[207, 206])).
% 0.43/0.61 tff(209,plain,
% 0.43/0.61 (($false & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & $true & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) <=> $false),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(210,plain,
% 0.43/0.61 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) <=> ($false & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & $true & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[144, 203, 154])).
% 0.43/0.61 tff(211,plain,
% 0.43/0.61 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) <=> $false),
% 0.43/0.61 inference(transitivity,[status(thm)],[210, 209])).
% 0.43/0.61 tff(212,plain,
% 0.43/0.61 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & $true & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(213,plain,
% 0.43/0.61 ((~(e20 = e22)) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(214,plain,
% 0.43/0.61 ((~(e20 = e22)) <=> (~(e20 = e22))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(215,plain,
% 0.43/0.61 (((~(e20 = e21)) & (~(e20 = e22))) & (~(e20 = e23))),
% 0.43/0.61 inference(and_elim,[status(thm)],[140])).
% 0.43/0.61 tff(216,plain,
% 0.43/0.61 ((~(e20 = e21)) & (~(e20 = e22))),
% 0.43/0.61 inference(and_elim,[status(thm)],[215])).
% 0.43/0.61 tff(217,plain,
% 0.43/0.61 (~(e20 = e22)),
% 0.43/0.61 inference(and_elim,[status(thm)],[216])).
% 0.43/0.61 tff(218,plain,
% 0.43/0.61 (~(e20 = e22)),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[217, 214])).
% 0.43/0.61 tff(219,plain,
% 0.43/0.61 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[218, 213])).
% 0.43/0.61 tff(220,plain,
% 0.43/0.61 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) <=> $false),
% 0.43/0.61 inference(iff_false,[status(thm)],[219])).
% 0.43/0.61 tff(221,plain,
% 0.43/0.61 ((~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) <=> (~$false)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[220])).
% 0.43/0.61 tff(222,plain,
% 0.43/0.61 ((~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) <=> $true),
% 0.43/0.61 inference(transitivity,[status(thm)],[221, 135])).
% 0.43/0.61 tff(223,plain,
% 0.43/0.61 (($true | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> $true),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(224,plain,
% 0.43/0.61 ((~(op2(e20, e23) = op2(e22, e23))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(225,plain,
% 0.43/0.61 ((~(op2(e20, e23) = op2(e22, e23))) <=> (~(op2(e20, e23) = op2(e22, e23)))),
% 0.43/0.61 inference(rewrite,[status(thm)],[])).
% 0.43/0.61 tff(226,plain,
% 0.43/0.61 (~(op2(e20, e23) = op2(e22, e23))),
% 0.43/0.61 inference(and_elim,[status(thm)],[86])).
% 0.43/0.61 tff(227,plain,
% 0.43/0.61 (~(op2(e20, e23) = op2(e22, e23))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.43/0.61 tff(228,plain,
% 0.43/0.61 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.43/0.61 inference(modus_ponens,[status(thm)],[227, 224])).
% 0.43/0.61 tff(229,plain,
% 0.43/0.61 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> $false),
% 0.43/0.61 inference(iff_false,[status(thm)],[228])).
% 0.43/0.61 tff(230,plain,
% 0.43/0.61 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~$false)),
% 0.43/0.61 inference(monotonicity,[status(thm)],[229])).
% 0.43/0.61 tff(231,plain,
% 0.43/0.61 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> $true),
% 0.43/0.61 inference(transitivity,[status(thm)],[230, 135])).
% 0.43/0.61 tff(232,plain,
% 0.43/0.61 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> ($true | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 0.43/0.61 inference(monotonicity,[status(thm)],[231])).
% 0.43/0.61 tff(233,plain,
% 0.43/0.61 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> $true),
% 0.43/0.61 inference(transitivity,[status(thm)],[232, 223])).
% 0.43/0.61 tff(234,plain,
% 0.43/0.61 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & $true & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[233, 222])).
% 0.43/0.62 tff(235,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.43/0.62 inference(transitivity,[status(thm)],[234, 212])).
% 0.43/0.62 tff(236,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(237,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(238,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & $true & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[193])).
% 0.43/0.62 tff(239,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.43/0.62 inference(transitivity,[status(thm)],[238, 237])).
% 0.43/0.62 tff(240,plain,
% 0.43/0.62 (($false & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & $true & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> $false),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(241,plain,
% 0.43/0.62 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(242,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> ($false & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & $true & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.43/0.62 inference(monotonicity,[status(thm)],[229, 241, 222])).
% 0.43/0.62 tff(243,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> $false),
% 0.43/0.62 inference(transitivity,[status(thm)],[242, 240])).
% 0.43/0.62 tff(244,plain,
% 0.43/0.62 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))))),
% 0.43/0.62 inference(rewrite,[status(thm)],[])).
% 0.43/0.62 tff(245,plain,
% 0.43/0.62 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | $false | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | $false | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | $false)),
% 0.48/0.64 inference(monotonicity,[status(thm)],[244, 243, 239, 236, 235, 211, 208, 205, 197, 181, 178])).
% 0.48/0.64 tff(246,plain,
% 0.48/0.64 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))))),
% 0.48/0.65 inference(transitivity,[status(thm)],[245, 132])).
% 0.48/0.65 tff(247,plain,
% 0.48/0.65 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(248,plain,
% 0.51/0.66 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.51/0.66 inference(rewrite,[status(thm)],[])).
% 0.51/0.66 tff(249,plain,
% 0.51/0.66 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))))),
% 0.51/0.68 inference(monotonicity,[status(thm)],[244, 248, 236, 181])).
% 0.51/0.68 tff(250,plain,
% 0.51/0.68 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))))),
% 0.51/0.69 inference(transitivity,[status(thm)],[249, 247])).
% 0.51/0.69 tff(251,plain,
% 0.51/0.69 ((((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | $false | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))))),
% 0.51/0.70 inference(rewrite,[status(thm)],[])).
% 0.51/0.70 tff(252,plain,
% 0.51/0.70 (((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))),
% 0.51/0.70 inference(rewrite,[status(thm)],[])).
% 0.51/0.70 tff(253,plain,
% 0.51/0.70 (((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) <=> ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))))),
% 0.51/0.70 inference(rewrite,[status(thm)],[])).
% 0.51/0.70 tff(254,plain,
% 0.51/0.70 (((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(255,plain,
% 0.51/0.71 (((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(256,plain,
% 0.51/0.71 (((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & $false & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) <=> $false),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(257,plain,
% 0.51/0.71 ((~(op2(e23, e23) = e23)) <=> (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(258,plain,
% 0.51/0.71 ((~$true) <=> $false),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(259,plain,
% 0.51/0.71 ((op2(h3(e12), h3(e12)) = op2(h3(e12), h3(e12))) <=> $true),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(260,plain,
% 0.51/0.71 (op2(e22, e22) = op2(h3(e12), h3(e12))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(261,plain,
% 0.51/0.71 ((e23 = op2(e22, e22)) <=> (e23 = op2(e22, e22))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(262,axiom,(((e20 = op2(e22, op2(e22, e22))) & (e21 = op2(e22, op2(e22, op2(e22, e22))))) & (e23 = op2(e22, e22))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax13')).
% 0.51/0.71 tff(263,plain,
% 0.51/0.71 (e23 = op2(e22, e22)),
% 0.51/0.71 inference(and_elim,[status(thm)],[262])).
% 0.51/0.71 tff(264,plain,
% 0.51/0.71 (e23 = op2(e22, e22)),
% 0.51/0.71 inference(modus_ponens,[status(thm)],[263, 261])).
% 0.51/0.71 tff(265,plain,
% 0.51/0.71 (e23 = op2(h3(e12), h3(e12))),
% 0.51/0.71 inference(transitivity,[status(thm)],[264, 260])).
% 0.51/0.71 tff(266,plain,
% 0.51/0.71 ((op2(e22, e22) = e23) <=> (op2(h3(e12), h3(e12)) = op2(h3(e12), h3(e12)))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[260, 265])).
% 0.51/0.71 tff(267,plain,
% 0.51/0.71 ((op2(e22, e22) = e23) <=> $true),
% 0.51/0.71 inference(transitivity,[status(thm)],[266, 259])).
% 0.51/0.71 tff(268,plain,
% 0.51/0.71 ((~(op2(e22, e22) = e23)) <=> (~$true)),
% 0.51/0.71 inference(monotonicity,[status(thm)],[267])).
% 0.51/0.71 tff(269,plain,
% 0.51/0.71 ((~(op2(e22, e22) = e23)) <=> $false),
% 0.51/0.71 inference(transitivity,[status(thm)],[268, 258])).
% 0.51/0.71 tff(270,plain,
% 0.51/0.71 ((~(op2(e21, e23) = e21)) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(271,plain,
% 0.51/0.71 ((~(op2(e21, e21) = e23)) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(272,plain,
% 0.51/0.71 (((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[271, 270])).
% 0.51/0.71 tff(273,plain,
% 0.51/0.71 (((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.51/0.71 inference(transitivity,[status(thm)],[272, 241])).
% 0.51/0.71 tff(274,plain,
% 0.51/0.71 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(275,plain,
% 0.51/0.71 ((~(op2(e20, e23) = e20)) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(276,plain,
% 0.51/0.71 ((~(op2(e20, e20) = e23)) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(277,plain,
% 0.51/0.71 (((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[276, 275])).
% 0.51/0.71 tff(278,plain,
% 0.51/0.71 (((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 0.51/0.71 inference(transitivity,[status(thm)],[277, 274])).
% 0.51/0.71 tff(279,plain,
% 0.51/0.71 ((op2(e22, e23) = e22) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(280,plain,
% 0.51/0.71 (((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) <=> ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & $false & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.51/0.71 inference(monotonicity,[status(thm)],[279, 278, 273, 269, 257])).
% 0.51/0.71 tff(281,plain,
% 0.51/0.71 (((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) <=> $false),
% 0.51/0.71 inference(transitivity,[status(thm)],[280, 256])).
% 0.51/0.71 tff(282,plain,
% 0.51/0.71 (((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(283,plain,
% 0.51/0.71 (((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(284,plain,
% 0.51/0.71 (((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(285,plain,
% 0.51/0.71 (((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))))),
% 0.51/0.71 inference(rewrite,[status(thm)],[])).
% 0.51/0.71 tff(286,plain,
% 0.51/0.71 (((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(287,plain,
% 0.51/0.72 (((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(288,plain,
% 0.51/0.72 (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))))),
% 0.51/0.72 inference(rewrite,[status(thm)],[])).
% 0.51/0.72 tff(289,plain,
% 0.51/0.72 ((((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | $false | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))))),
% 0.58/0.73 inference(monotonicity,[status(thm)],[288, 287, 286, 285, 284, 283, 282, 281, 255, 254, 253, 252])).
% 0.58/0.73 tff(290,plain,
% 0.58/0.73 ((((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))))),
% 0.58/0.74 inference(transitivity,[status(thm)],[289, 251])).
% 0.58/0.74 tff(291,plain,
% 0.58/0.74 ((((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.58/0.74 inference(rewrite,[status(thm)],[])).
% 0.58/0.74 tff(292,plain,
% 0.58/0.74 (((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))) <=> ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))),
% 0.58/0.74 inference(rewrite,[status(thm)],[])).
% 0.58/0.74 tff(293,plain,
% 0.58/0.74 (((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) <=> ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))),
% 0.58/0.74 inference(rewrite,[status(thm)],[])).
% 0.58/0.74 tff(294,plain,
% 0.58/0.74 (((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.58/0.74 inference(monotonicity,[status(thm)],[293, 292])).
% 0.58/0.74 tff(295,plain,
% 0.58/0.74 (((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) <=> ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(296,plain,
% 0.58/0.75 (((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21)))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[295])).
% 0.58/0.75 tff(297,plain,
% 0.58/0.75 (((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20)))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(298,plain,
% 0.58/0.75 (((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))) <=> ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(299,plain,
% 0.58/0.75 (((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[298])).
% 0.58/0.75 tff(300,plain,
% 0.58/0.75 (((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(301,plain,
% 0.58/0.75 (((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))) <=> ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(302,plain,
% 0.58/0.75 (((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.58/0.75 inference(monotonicity,[status(thm)],[301])).
% 0.58/0.75 tff(303,plain,
% 0.58/0.75 (((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(304,plain,
% 0.58/0.75 (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.58/0.75 inference(rewrite,[status(thm)],[])).
% 0.58/0.75 tff(305,plain,
% 0.58/0.75 ((((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.58/0.76 inference(monotonicity,[status(thm)],[304, 303, 302, 300, 299, 297, 296, 294])).
% 0.58/0.76 tff(306,plain,
% 0.58/0.76 ((((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.58/0.76 inference(transitivity,[status(thm)],[305, 291])).
% 0.58/0.76 tff(307,plain,
% 0.58/0.76 ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.58/0.76 inference(rewrite,[status(thm)],[])).
% 0.58/0.76 tff(308,plain,
% 0.58/0.76 ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(309,plain,
% 0.62/0.77 (((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) <=> ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(310,plain,
% 0.62/0.77 (((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[309, 293, 292])).
% 0.62/0.77 tff(311,plain,
% 0.62/0.77 (((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[301])).
% 0.62/0.77 tff(312,plain,
% 0.62/0.77 (((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[295, 298])).
% 0.62/0.77 tff(313,plain,
% 0.62/0.77 (((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[309, 293, 292])).
% 0.62/0.77 tff(314,plain,
% 0.62/0.77 (((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[295, 298])).
% 0.62/0.77 tff(315,plain,
% 0.62/0.77 (((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(316,plain,
% 0.62/0.77 (((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.77 inference(monotonicity,[status(thm)],[301])).
% 0.62/0.77 tff(317,plain,
% 0.62/0.77 (((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(318,plain,
% 0.62/0.77 (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.77 inference(rewrite,[status(thm)],[])).
% 0.62/0.77 tff(319,plain,
% 0.62/0.77 ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.78 inference(monotonicity,[status(thm)],[318, 317, 316, 315, 314, 313, 312, 311, 310])).
% 0.62/0.78 tff(320,plain,
% 0.62/0.78 ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.79 inference(transitivity,[status(thm)],[319, 308])).
% 0.62/0.79 tff(321,plain,
% 0.62/0.79 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | $false) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.79 inference(rewrite,[status(thm)],[])).
% 0.62/0.79 tff(322,plain,
% 0.62/0.79 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23))) <=> $false),
% 0.62/0.79 inference(rewrite,[status(thm)],[])).
% 0.62/0.79 tff(323,plain,
% 0.62/0.79 (((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))) <=> (~(op2(e23, e23) = e23))),
% 0.62/0.79 inference(rewrite,[status(thm)],[])).
% 0.62/0.79 tff(324,plain,
% 0.62/0.79 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(325,plain,
% 0.62/0.80 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(326,plain,
% 0.62/0.80 (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[325])).
% 0.62/0.80 tff(327,plain,
% 0.62/0.80 (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.62/0.80 inference(transitivity,[status(thm)],[326, 324])).
% 0.62/0.80 tff(328,plain,
% 0.62/0.80 ((((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23)))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[327, 323])).
% 0.62/0.80 tff(329,plain,
% 0.62/0.80 ((((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> $false),
% 0.62/0.80 inference(transitivity,[status(thm)],[328, 322])).
% 0.62/0.80 tff(330,plain,
% 0.62/0.80 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(331,plain,
% 0.62/0.80 ((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(332,plain,
% 0.62/0.80 ((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & (~(op2(e22, e22) = e22))) <=> ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(333,plain,
% 0.62/0.80 (((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22))) <=> (~(op2(e22, e22) = e22))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(334,plain,
% 0.62/0.80 ((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) <=> ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))))),
% 0.62/0.80 inference(rewrite,[status(thm)],[])).
% 0.62/0.80 tff(335,plain,
% 0.62/0.80 (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) <=> (((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & (~(op2(e22, e22) = e22)))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[334, 333])).
% 0.62/0.80 tff(336,plain,
% 0.62/0.80 (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) <=> ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)))),
% 0.62/0.80 inference(transitivity,[status(thm)],[335, 332])).
% 0.62/0.80 tff(337,plain,
% 0.62/0.80 ((((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> (((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.80 inference(monotonicity,[status(thm)],[336, 301])).
% 0.62/0.80 tff(338,plain,
% 0.62/0.80 ((((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.80 inference(transitivity,[status(thm)],[337, 331])).
% 0.62/0.80 tff(339,plain,
% 0.62/0.80 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(340,plain,
% 0.62/0.81 ((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(341,plain,
% 0.62/0.81 ((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(342,plain,
% 0.62/0.81 ((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & (~(op2(e21, e21) = e21))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(343,plain,
% 0.62/0.81 (((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21))) <=> (~(op2(e21, e21) = e21))),
% 0.62/0.81 inference(rewrite,[status(thm)],[])).
% 0.62/0.81 tff(344,plain,
% 0.62/0.81 ((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) <=> (((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & (~(op2(e21, e21) = e21)))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[343])).
% 0.62/0.81 tff(345,plain,
% 0.62/0.81 ((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)))),
% 0.62/0.81 inference(transitivity,[status(thm)],[344, 342])).
% 0.62/0.81 tff(346,plain,
% 0.62/0.81 (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> (((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[345, 295])).
% 0.62/0.81 tff(347,plain,
% 0.62/0.81 (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.62/0.81 inference(transitivity,[status(thm)],[346, 341])).
% 0.62/0.81 tff(348,plain,
% 0.62/0.81 ((((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> (((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.81 inference(monotonicity,[status(thm)],[347, 298])).
% 0.62/0.81 tff(349,plain,
% 0.62/0.81 ((((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.81 inference(transitivity,[status(thm)],[348, 340])).
% 0.62/0.81 tff(350,plain,
% 0.62/0.81 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(351,plain,
% 0.62/0.82 ((((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(352,plain,
% 0.62/0.82 ((((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(353,plain,
% 0.62/0.82 ((((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(354,plain,
% 0.62/0.82 (((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)))),
% 0.62/0.82 inference(rewrite,[status(thm)],[])).
% 0.62/0.82 tff(355,plain,
% 0.62/0.82 ((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> (((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[354, 309])).
% 0.62/0.82 tff(356,plain,
% 0.62/0.82 ((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.62/0.82 inference(transitivity,[status(thm)],[355, 353])).
% 0.62/0.82 tff(357,plain,
% 0.62/0.82 (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> (((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[356, 293])).
% 0.62/0.82 tff(358,plain,
% 0.62/0.82 (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.62/0.82 inference(transitivity,[status(thm)],[357, 352])).
% 0.62/0.82 tff(359,plain,
% 0.62/0.82 ((((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> (((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.62/0.82 inference(monotonicity,[status(thm)],[358, 292])).
% 0.62/0.82 tff(360,plain,
% 0.62/0.82 ((((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.62/0.82 inference(transitivity,[status(thm)],[359, 351])).
% 0.62/0.82 tff(361,plain,
% 0.62/0.82 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(362,plain,
% 0.62/0.83 ((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23))) <=> ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(363,plain,
% 0.62/0.83 ((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(364,plain,
% 0.62/0.83 ((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) <=> ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(365,plain,
% 0.62/0.83 (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> (((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.62/0.83 inference(monotonicity,[status(thm)],[364])).
% 0.62/0.83 tff(366,plain,
% 0.62/0.83 (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.62/0.83 inference(transitivity,[status(thm)],[365, 363])).
% 0.62/0.83 tff(367,plain,
% 0.62/0.83 ((((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> (((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23)))),
% 0.62/0.83 inference(monotonicity,[status(thm)],[366, 323])).
% 0.62/0.83 tff(368,plain,
% 0.62/0.83 ((((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))),
% 0.62/0.83 inference(transitivity,[status(thm)],[367, 362])).
% 0.62/0.83 tff(369,plain,
% 0.62/0.83 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | $false) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(370,plain,
% 0.62/0.83 (($false & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> $false),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(371,plain,
% 0.62/0.83 ((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & (~(op2(e22, e22) = e22))) <=> $false),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(372,plain,
% 0.62/0.83 ((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) <=> ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))))),
% 0.62/0.83 inference(rewrite,[status(thm)],[])).
% 0.62/0.83 tff(373,plain,
% 0.62/0.83 (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) <=> (((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & (~(op2(e22, e22) = e22)))),
% 0.62/0.83 inference(monotonicity,[status(thm)],[372, 333])).
% 0.62/0.83 tff(374,plain,
% 0.62/0.83 (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) <=> $false),
% 0.62/0.83 inference(transitivity,[status(thm)],[373, 371])).
% 0.62/0.83 tff(375,plain,
% 0.62/0.83 ((((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ($false & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.62/0.83 inference(monotonicity,[status(thm)],[374, 301])).
% 0.62/0.83 tff(376,plain,
% 0.62/0.83 ((((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> $false),
% 0.62/0.83 inference(transitivity,[status(thm)],[375, 370])).
% 0.62/0.83 tff(377,plain,
% 0.62/0.83 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.62/0.84 inference(rewrite,[status(thm)],[])).
% 0.62/0.84 tff(378,plain,
% 0.62/0.84 ((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.84 inference(rewrite,[status(thm)],[])).
% 0.62/0.84 tff(379,plain,
% 0.62/0.84 ((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.62/0.84 inference(rewrite,[status(thm)],[])).
% 0.62/0.84 tff(380,plain,
% 0.62/0.84 ((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & (~(op2(e21, e21) = e21))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)))),
% 0.62/0.84 inference(rewrite,[status(thm)],[])).
% 0.62/0.84 tff(381,plain,
% 0.62/0.84 ((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) <=> (((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & (~(op2(e21, e21) = e21)))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[343])).
% 0.62/0.84 tff(382,plain,
% 0.62/0.84 ((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)))),
% 0.62/0.84 inference(transitivity,[status(thm)],[381, 380])).
% 0.62/0.84 tff(383,plain,
% 0.62/0.84 (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> (((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[382, 295])).
% 0.62/0.84 tff(384,plain,
% 0.62/0.84 (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.62/0.84 inference(transitivity,[status(thm)],[383, 379])).
% 0.62/0.84 tff(385,plain,
% 0.62/0.84 ((((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> (((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.62/0.84 inference(monotonicity,[status(thm)],[384, 298])).
% 0.62/0.84 tff(386,plain,
% 0.62/0.84 ((((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.70/0.84 inference(transitivity,[status(thm)],[385, 378])).
% 0.70/0.84 tff(387,plain,
% 0.70/0.84 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.70/0.84 inference(rewrite,[status(thm)],[])).
% 0.70/0.84 tff(388,plain,
% 0.70/0.84 ((((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.70/0.84 inference(rewrite,[status(thm)],[])).
% 0.70/0.84 tff(389,plain,
% 0.70/0.84 ((((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.70/0.84 inference(rewrite,[status(thm)],[])).
% 0.70/0.84 tff(390,plain,
% 0.70/0.84 ((((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.70/0.84 inference(rewrite,[status(thm)],[])).
% 0.70/0.84 tff(391,plain,
% 0.70/0.84 (((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)))),
% 0.70/0.84 inference(rewrite,[status(thm)],[])).
% 0.70/0.84 tff(392,plain,
% 0.70/0.84 ((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> (((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.70/0.84 inference(monotonicity,[status(thm)],[391, 309])).
% 0.70/0.84 tff(393,plain,
% 0.70/0.84 ((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.70/0.84 inference(transitivity,[status(thm)],[392, 390])).
% 0.70/0.84 tff(394,plain,
% 0.70/0.84 (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> (((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.70/0.84 inference(monotonicity,[status(thm)],[393, 293])).
% 0.70/0.84 tff(395,plain,
% 0.70/0.84 (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.70/0.84 inference(transitivity,[status(thm)],[394, 389])).
% 0.70/0.84 tff(396,plain,
% 0.70/0.84 ((((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> (((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.70/0.84 inference(monotonicity,[status(thm)],[395, 292])).
% 0.70/0.84 tff(397,plain,
% 0.70/0.84 ((((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.70/0.84 inference(transitivity,[status(thm)],[396, 388])).
% 0.70/0.84 tff(398,plain,
% 0.70/0.84 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(399,plain,
% 0.70/0.85 ((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23))) <=> ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(400,plain,
% 0.70/0.85 ((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(401,plain,
% 0.70/0.85 ((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) <=> ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(402,plain,
% 0.70/0.85 (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> (((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[401])).
% 0.70/0.85 tff(403,plain,
% 0.70/0.85 (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.70/0.85 inference(transitivity,[status(thm)],[402, 400])).
% 0.70/0.85 tff(404,plain,
% 0.70/0.85 ((((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> (((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23)))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[403, 323])).
% 0.70/0.85 tff(405,plain,
% 0.70/0.85 ((((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))),
% 0.70/0.85 inference(transitivity,[status(thm)],[404, 399])).
% 0.70/0.85 tff(406,plain,
% 0.70/0.85 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(407,plain,
% 0.70/0.85 ((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(408,plain,
% 0.70/0.85 ((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & (~(op2(e22, e22) = e22))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(409,plain,
% 0.70/0.85 ((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))))),
% 0.70/0.85 inference(rewrite,[status(thm)],[])).
% 0.70/0.85 tff(410,plain,
% 0.70/0.85 (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) <=> (((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & (~(op2(e22, e22) = e22)))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[409, 333])).
% 0.70/0.85 tff(411,plain,
% 0.70/0.85 (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)))),
% 0.70/0.85 inference(transitivity,[status(thm)],[410, 408])).
% 0.70/0.85 tff(412,plain,
% 0.70/0.85 ((((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> (((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.70/0.85 inference(monotonicity,[status(thm)],[411, 301])).
% 0.70/0.85 tff(413,plain,
% 0.70/0.85 ((((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) <=> ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))),
% 0.70/0.85 inference(transitivity,[status(thm)],[412, 407])).
% 0.70/0.85 tff(414,plain,
% 0.70/0.85 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | $false) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(415,plain,
% 0.70/0.86 (($false & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> $false),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(416,plain,
% 0.70/0.86 (($false & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> $false),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(417,plain,
% 0.70/0.86 ((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & (~(op2(e21, e21) = e21))) <=> $false),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(418,plain,
% 0.70/0.86 ((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) <=> (((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & (~(op2(e21, e21) = e21)))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[343])).
% 0.70/0.86 tff(419,plain,
% 0.70/0.86 ((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) <=> $false),
% 0.70/0.86 inference(transitivity,[status(thm)],[418, 417])).
% 0.70/0.86 tff(420,plain,
% 0.70/0.86 (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> ($false & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[419, 295])).
% 0.70/0.86 tff(421,plain,
% 0.70/0.86 (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) <=> $false),
% 0.70/0.86 inference(transitivity,[status(thm)],[420, 416])).
% 0.70/0.86 tff(422,plain,
% 0.70/0.86 ((((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> ($false & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[421, 298])).
% 0.70/0.86 tff(423,plain,
% 0.70/0.86 ((((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) <=> $false),
% 0.70/0.86 inference(transitivity,[status(thm)],[422, 415])).
% 0.70/0.86 tff(424,plain,
% 0.70/0.86 (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(425,plain,
% 0.70/0.86 ((((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(426,plain,
% 0.70/0.86 ((((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(427,plain,
% 0.70/0.86 ((((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(428,plain,
% 0.70/0.86 (((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(429,plain,
% 0.70/0.86 ((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[428, 309])).
% 0.70/0.86 tff(430,plain,
% 0.70/0.86 ((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))))),
% 0.70/0.86 inference(transitivity,[status(thm)],[429, 427])).
% 0.70/0.86 tff(431,plain,
% 0.70/0.86 (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[430, 293])).
% 0.70/0.86 tff(432,plain,
% 0.70/0.86 (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))))),
% 0.70/0.86 inference(transitivity,[status(thm)],[431, 426])).
% 0.70/0.86 tff(433,plain,
% 0.70/0.86 ((((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> (((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[432, 292])).
% 0.70/0.86 tff(434,plain,
% 0.70/0.86 ((((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) <=> ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.70/0.86 inference(transitivity,[status(thm)],[433, 425])).
% 0.70/0.86 tff(435,plain,
% 0.70/0.86 (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(436,plain,
% 0.70/0.86 ((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23))) <=> ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(437,plain,
% 0.70/0.86 ((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(438,plain,
% 0.70/0.86 ((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) <=> ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(439,plain,
% 0.70/0.86 (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> (((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[438])).
% 0.70/0.86 tff(440,plain,
% 0.70/0.86 (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) <=> ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))))),
% 0.70/0.86 inference(transitivity,[status(thm)],[439, 437])).
% 0.70/0.86 tff(441,plain,
% 0.70/0.86 ((((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> (((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & (~(op2(e23, e23) = e23)))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[440, 323])).
% 0.70/0.87 tff(442,plain,
% 0.70/0.87 ((((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23)))) <=> ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[441, 436])).
% 0.70/0.87 tff(443,plain,
% 0.70/0.87 ((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> (((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(444,plain,
% 0.70/0.87 (((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> ((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[443, 442])).
% 0.70/0.87 tff(445,plain,
% 0.70/0.87 (((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))))),
% 0.70/0.87 inference(transitivity,[status(thm)],[444, 435])).
% 0.70/0.87 tff(446,plain,
% 0.70/0.87 ((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[445, 434])).
% 0.70/0.87 tff(447,plain,
% 0.70/0.87 ((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.87 inference(transitivity,[status(thm)],[446, 424])).
% 0.73/0.87 tff(448,plain,
% 0.73/0.87 (((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | $false)),
% 0.73/0.88 inference(monotonicity,[status(thm)],[447, 423])).
% 0.73/0.88 tff(449,plain,
% 0.73/0.88 (((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.88 inference(transitivity,[status(thm)],[448, 414])).
% 0.73/0.88 tff(450,plain,
% 0.73/0.88 ((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))))),
% 0.73/0.88 inference(monotonicity,[status(thm)],[449, 413])).
% 0.73/0.88 tff(451,plain,
% 0.73/0.88 ((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.88 inference(transitivity,[status(thm)],[450, 406])).
% 0.73/0.88 tff(452,plain,
% 0.73/0.88 (((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[451, 405])).
% 0.73/0.89 tff(453,plain,
% 0.73/0.89 (((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.89 inference(transitivity,[status(thm)],[452, 398])).
% 0.73/0.89 tff(454,plain,
% 0.73/0.89 ((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.89 inference(monotonicity,[status(thm)],[453, 397])).
% 0.73/0.89 tff(455,plain,
% 0.73/0.89 ((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.89 inference(transitivity,[status(thm)],[454, 387])).
% 0.73/0.89 tff(456,plain,
% 0.73/0.89 (((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))))),
% 0.73/0.90 inference(monotonicity,[status(thm)],[455, 386])).
% 0.73/0.90 tff(457,plain,
% 0.73/0.90 (((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.90 inference(transitivity,[status(thm)],[456, 377])).
% 0.73/0.90 tff(458,plain,
% 0.73/0.90 ((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | $false)),
% 0.73/0.91 inference(monotonicity,[status(thm)],[457, 376])).
% 0.73/0.91 tff(459,plain,
% 0.73/0.91 ((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.91 inference(transitivity,[status(thm)],[458, 369])).
% 0.73/0.91 tff(460,plain,
% 0.73/0.91 (((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))))),
% 0.73/0.91 inference(monotonicity,[status(thm)],[459, 368])).
% 0.73/0.91 tff(461,plain,
% 0.73/0.91 (((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.92 inference(transitivity,[status(thm)],[460, 361])).
% 0.73/0.92 tff(462,plain,
% 0.73/0.92 ((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.73/0.92 inference(monotonicity,[status(thm)],[461, 360])).
% 0.73/0.92 tff(463,plain,
% 0.73/0.92 ((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.78/0.93 inference(transitivity,[status(thm)],[462, 350])).
% 0.78/0.93 tff(464,plain,
% 0.78/0.93 (((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))))),
% 0.78/0.93 inference(monotonicity,[status(thm)],[463, 349])).
% 0.78/0.93 tff(465,plain,
% 0.78/0.93 (((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.78/0.94 inference(transitivity,[status(thm)],[464, 339])).
% 0.78/0.94 tff(466,plain,
% 0.78/0.94 ((((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))))),
% 0.78/0.94 inference(monotonicity,[status(thm)],[465, 338])).
% 0.78/0.94 tff(467,plain,
% 0.78/0.94 ((((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.78/0.95 inference(transitivity,[status(thm)],[466, 330])).
% 0.78/0.95 tff(468,plain,
% 0.78/0.95 (((((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> ((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | $false)),
% 0.81/0.95 inference(monotonicity,[status(thm)],[467, 329])).
% 0.81/0.95 tff(469,plain,
% 0.81/0.95 (((((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) <=> (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))))),
% 0.81/0.96 inference(transitivity,[status(thm)],[468, 321])).
% 0.81/0.96 tff(470,axiom,(((((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) & ((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & ((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax11')).
% 0.81/0.96 tff(471,plain,
% 0.81/0.96 ((((((((((((((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | (((((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e21, e20) = e21) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e22, e20) = e22) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))) | (((((op2(e23, e20) = e23) & ((~(op2(e20, e20) = e20)) | (~(op2(e20, e20) = e20)))) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21)))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22)))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))) | (((((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20)))) & ((~(op2(e21, e21) = e21)) | (~(op2(e21, e21) = e21)))) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22)))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23))))) | (((((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20)))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21)))) & ((~(op2(e22, e22) = e22)) | (~(op2(e22, e22) = e22)))) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23))))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20)))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21)))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22)))) & ((~(op2(e23, e23) = e23)) | (~(op2(e23, e23) = e23))))),
% 0.81/0.97 inference(and_elim,[status(thm)],[470])).
% 0.81/0.97 tff(472,plain,
% 0.81/0.97 (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.81/0.97 inference(modus_ponens,[status(thm)],[471, 469])).
% 0.81/0.97 tff(473,plain,
% 0.81/0.97 (((op2(e20, e22) = e20) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.81/0.97 inference(modus_ponens,[status(thm)],[472, 320])).
% 0.81/0.97 tff(474,plain,
% 0.81/0.97 (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.81/0.97 inference(modus_ponens,[status(thm)],[473, 307])).
% 0.81/0.97 tff(475,plain,
% 0.81/0.97 (((op2(e20, e22) = e20) & (~(op2(e20, e20) = e22)) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e20, e23) = e20) & (~(op2(e20, e20) = e23)) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e20, e21) = e20) & (~(op2(e20, e20) = e21)) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e21, e22) = e21) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & (~(op2(e21, e21) = e22)) & (~(op2(e22, e22) = e22)) & ((~(op2(e23, e23) = e22)) | (~(op2(e23, e22) = e23)))) | ((op2(e21, e23) = e21) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & (~(op2(e21, e21) = e23)) & ((~(op2(e22, e22) = e23)) | (~(op2(e22, e23) = e22))) & (~(op2(e23, e23) = e23))) | ((op2(e22, e20) = e22) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & (~(op2(e22, e22) = e20)) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23)))) | ((op2(e22, e21) = e22) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & (~(op2(e22, e22) = e21)) & ((~(op2(e23, e23) = e21)) | (~(op2(e23, e21) = e23)))) | ((op2(e22, e23) = e22) & ((~(op2(e20, e20) = e23)) | (~(op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (~(op2(e21, e23) = e21))) & (~(op2(e22, e22) = e23)) & (~(op2(e23, e23) = e23))) | ((op2(e23, e20) = e23) & (~(op2(e20, e20) = e20)) & ((~(op2(e21, e21) = e20)) | (~(op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & (~(op2(e23, e23) = e20))) | ((op2(e23, e21) = e23) & ((~(op2(e20, e20) = e21)) | (~(op2(e20, e21) = e20))) & (~(op2(e21, e21) = e21)) & ((~(op2(e22, e22) = e21)) | (~(op2(e22, e21) = e22))) & (~(op2(e23, e23) = e21))) | ((op2(e23, e22) = e23) & ((~(op2(e20, e20) = e22)) | (~(op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (~(op2(e21, e22) = e21))) & (~(op2(e22, e22) = e22)) & (~(op2(e23, e23) = e22))) | ((op2(e21, e20) = e21) & (~(op2(e20, e20) = e20)) & (~(op2(e21, e21) = e20)) & ((~(op2(e22, e22) = e20)) | (~(op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (~(op2(e23, e20) = e23))))),
% 0.81/0.97 inference(modus_ponens,[status(thm)],[474, 306])).
% 0.81/0.97 tff(476,plain,
% 0.81/0.97 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))),
% 0.81/0.98 inference(modus_ponens,[status(thm)],[475, 290])).
% 0.81/0.98 tff(477,plain,
% 0.81/0.98 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[476, 250])).
% 0.81/0.99 tff(478,plain,
% 0.81/0.99 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) & (~(op2(h3(e12), h3(e12)) = h3(e12))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))) | ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)))) & (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[477, 246])).
% 0.81/0.99 tff(479,plain,
% 0.81/0.99 (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[478, 131])).
% 0.81/0.99 tff(480,plain,
% 0.81/0.99 (((op2(h4(e12), h1(e12)) = h4(e12)) & (~(h1(op1(e12, e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(h4(op1(e12, e12)) = h4(e12)))) | ((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[479, 120])).
% 0.81/0.99 tff(481,plain,
% 0.81/0.99 (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[480, 119])).
% 0.81/0.99 tff(482,plain,
% 0.81/0.99 (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(h2(op1(e12, e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[481, 114])).
% 0.81/0.99 tff(483,plain,
% 0.81/0.99 (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.81/0.99 inference(modus_ponens,[status(thm)],[482, 113])).
% 0.81/0.99 tff(484,plain,
% 0.81/0.99 (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[483, 107])).
% 0.81/1.00 tff(485,plain,
% 0.81/1.00 (((op2(h1(e12), h3(e12)) = h1(e12)) & (~(h1(op1(e12, e12)) = h3(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))) & (~(h4(e12) = h3(e12))) & (~(h4(op1(e12, e12)) = h3(e12)))) | ((op2(h2(e12), h3(e12)) = h2(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))) & (~(h2(op1(e12, e12)) = h3(e12))) & (~(h4(e12) = h3(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | ((op2(h2(e12), h4(e12)) = h2(e12)) & (~(h2(op1(e12, e12)) = h4(e12))) & (~(op2(h4(e12), h4(e12)) = h4(e12)))) | ((op2(h4(e12), h1(e12)) = h4(e12)) & (~(op2(h1(e12), h1(e12)) = h1(e12))) & (~(h4(op1(e12, e12)) = h1(e12)))) | ((op2(h3(e12), h2(e12)) = h3(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & (~(h4(e12) = h2(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))) | ((op2(h4(e12), h2(e12)) = h4(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & (~(h4(op1(e12, e12)) = h2(e12)))) | ((op2(h1(e12), h2(e12)) = h1(e12)) & (~(op2(h2(e12), h2(e12)) = h2(e12))) & ((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[484, 107])).
% 0.81/1.00 tff(486,plain,
% 0.81/1.00 ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))) | (~((~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) | (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[485, 106])).
% 0.81/1.00 tff(487,plain,
% 0.81/1.00 ((~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))) | (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[486, 95])).
% 0.81/1.00 tff(488,plain,
% 0.81/1.00 (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[487, 67, 65, 64, 63, 62, 61])).
% 0.81/1.00 tff(489,plain,
% 0.81/1.00 (((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))) | (op2(h1(e12), h3(e12)) = h1(e12))),
% 0.81/1.00 inference(tautology,[status(thm)],[])).
% 0.81/1.00 tff(490,plain,
% 0.81/1.00 (op2(h1(e12), h3(e12)) = h1(e12)),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[489, 488])).
% 0.81/1.00 tff(491,plain,
% 0.81/1.00 (op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[490, 60])).
% 0.81/1.00 tff(492,plain,
% 0.81/1.00 ((~(h1(op1(e12, e12)) = op2(h1(e12), h3(e12)))) <=> (~(op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(493,plain,
% 0.81/1.00 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)))) <=> (~(h1(op1(e12, e12)) = op2(h1(e12), h3(e12))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(494,plain,
% 0.81/1.00 ((~(op2(e20, e20) = op2(e20, e22))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(495,plain,
% 0.81/1.00 ((~(op2(e20, e20) = op2(e20, e22))) <=> (~(op2(e20, e20) = op2(e20, e22)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(496,plain,
% 0.81/1.00 (~(op2(e20, e20) = op2(e20, e22))),
% 0.81/1.00 inference(and_elim,[status(thm)],[80])).
% 0.81/1.00 tff(497,plain,
% 0.81/1.00 (~(op2(e20, e20) = op2(e20, e22))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[496, 495])).
% 0.81/1.00 tff(498,plain,
% 0.81/1.00 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[497, 494])).
% 0.81/1.00 tff(499,plain,
% 0.81/1.00 (~(h1(op1(e12, e12)) = op2(h1(e12), h3(e12)))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[498, 493])).
% 0.81/1.00 tff(500,plain,
% 0.81/1.00 (~(op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12)))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[499, 492])).
% 0.81/1.00 tff(501,plain,
% 0.81/1.00 ($false),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[500, 491])).
% 0.81/1.00 tff(502,plain,((~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))) | (~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))))), inference(lemma,lemma(discharge,[]))).
% 0.81/1.00 tff(503,plain,
% 0.81/1.00 (~(op2(h1(e12), h1(e12)) = h1(e12))),
% 0.81/1.00 inference(unit_resolution,[status(thm)],[502, 55, 39, 37, 35, 33])).
% 0.81/1.00 tff(504,plain,
% 0.81/1.00 ((h2(e12) = h4(e12)) <=> (h4(e12) = h2(e12))),
% 0.81/1.00 inference(commutativity,[status(thm)],[])).
% 0.81/1.00 tff(505,plain,
% 0.81/1.00 ((h2(op1(e12, e12)) = op2(op2(h3(e12), h1(e12)), op2(h3(e12), h1(e12)))) <=> (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(506,plain,
% 0.81/1.00 ((h2(op1(e12, e12)) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (h2(op1(e12, e12)) = op2(op2(h3(e12), h1(e12)), op2(h3(e12), h1(e12))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(507,plain,
% 0.81/1.00 ((h2(e13) = op2(e21, e21)) <=> (h2(op1(e12, e12)) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(508,plain,
% 0.81/1.00 ((h2(e13) = op2(e21, e21)) <=> (h2(e13) = op2(e21, e21))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(509,axiom,((((h2(e12) = e21) & (h2(e10) = op2(e21, op2(e21, e21)))) & (h2(e11) = op2(e21, op2(e21, op2(e21, e21))))) & (h2(e13) = op2(e21, e21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax15')).
% 0.81/1.00 tff(510,plain,
% 0.81/1.00 (h2(e13) = op2(e21, e21)),
% 0.81/1.00 inference(and_elim,[status(thm)],[509])).
% 0.81/1.00 tff(511,plain,
% 0.81/1.00 (h2(e13) = op2(e21, e21)),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[510, 508])).
% 0.81/1.00 tff(512,plain,
% 0.81/1.00 (h2(op1(e12, e12)) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[511, 507])).
% 0.81/1.00 tff(513,plain,
% 0.81/1.00 (h2(op1(e12, e12)) = op2(op2(h3(e12), h1(e12)), op2(h3(e12), h1(e12)))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[512, 506])).
% 0.81/1.00 tff(514,plain,
% 0.81/1.00 (h2(op1(e12, e12)) = op2(h2(e12), h2(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[513, 505])).
% 0.81/1.00 tff(515,plain,
% 0.81/1.00 (h2(op1(e12, e12)) = h2(e12)),
% 0.81/1.00 inference(transitivity,[status(thm)],[514, 3])).
% 0.81/1.00 tff(516,plain,
% 0.81/1.00 ((h2(op1(e12, e12)) = h4(e12)) <=> (h2(e12) = h4(e12))),
% 0.81/1.00 inference(monotonicity,[status(thm)],[515])).
% 0.81/1.00 tff(517,plain,
% 0.81/1.00 ((h2(op1(e12, e12)) = h4(e12)) <=> (h4(e12) = h2(e12))),
% 0.81/1.00 inference(transitivity,[status(thm)],[516, 504])).
% 0.81/1.00 tff(518,plain,
% 0.81/1.00 ((h4(e12) = h2(e12)) <=> (h2(op1(e12, e12)) = h4(e12))),
% 0.81/1.00 inference(symmetry,[status(thm)],[517])).
% 0.81/1.00 tff(519,plain,
% 0.81/1.00 ((~(h4(e12) = h2(e12))) <=> (~(h2(op1(e12, e12)) = h4(e12)))),
% 0.81/1.00 inference(monotonicity,[status(thm)],[518])).
% 0.81/1.00 tff(520,plain,
% 0.81/1.00 ((~(h2(e12) = h4(e12))) <=> (~(h4(e12) = h2(e12)))),
% 0.81/1.00 inference(monotonicity,[status(thm)],[504])).
% 0.81/1.00 tff(521,plain,
% 0.81/1.00 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> (~(h2(e12) = h4(e12)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(522,plain,
% 0.81/1.00 ((~(op2(e22, e20) = op2(e22, e22))) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(523,plain,
% 0.81/1.00 ((~(op2(e22, e20) = op2(e22, e22))) <=> (~(op2(e22, e20) = op2(e22, e22)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(524,plain,
% 0.81/1.00 (~(op2(e22, e20) = op2(e22, e22))),
% 0.81/1.00 inference(and_elim,[status(thm)],[21])).
% 0.81/1.00 tff(525,plain,
% 0.81/1.00 (~(op2(e22, e20) = op2(e22, e22))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.81/1.00 tff(526,plain,
% 0.81/1.00 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[525, 522])).
% 0.81/1.00 tff(527,plain,
% 0.81/1.00 (~(h2(e12) = h4(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[526, 521])).
% 0.81/1.00 tff(528,plain,
% 0.81/1.00 (~(h4(e12) = h2(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[527, 520])).
% 0.81/1.00 tff(529,plain,
% 0.81/1.00 (~(h2(op1(e12, e12)) = h4(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[528, 519])).
% 0.81/1.00 tff(530,assumption,(~(h2(op1(e12, e12)) = h4(e12))), introduced(assumption)).
% 0.81/1.00 tff(531,plain,
% 0.81/1.00 ((h1(e12) = h4(e12)) <=> (h4(e12) = h1(e12))),
% 0.81/1.00 inference(commutativity,[status(thm)],[])).
% 0.81/1.00 tff(532,assumption,(op2(h1(e12), h2(e12)) = h1(e12)), introduced(assumption)).
% 0.81/1.00 tff(533,plain,
% 0.81/1.00 ((op2(h1(e12), h2(e12)) = h4(e12)) <=> (h1(e12) = h4(e12))),
% 0.81/1.00 inference(monotonicity,[status(thm)],[532])).
% 0.81/1.00 tff(534,plain,
% 0.81/1.00 ((op2(h1(e12), h2(e12)) = h4(e12)) <=> (h4(e12) = h1(e12))),
% 0.81/1.00 inference(transitivity,[status(thm)],[533, 531])).
% 0.81/1.00 tff(535,plain,
% 0.81/1.00 ((h4(e12) = h1(e12)) <=> (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.81/1.00 inference(symmetry,[status(thm)],[534])).
% 0.81/1.00 tff(536,plain,
% 0.81/1.00 ((~(h4(e12) = h1(e12))) <=> (~(op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.00 inference(monotonicity,[status(thm)],[535])).
% 0.81/1.00 tff(537,plain,
% 0.81/1.00 ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(h4(e12) = h1(e12)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(538,plain,
% 0.81/1.00 (~(h4(e12) = h1(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[151, 537])).
% 0.81/1.00 tff(539,plain,
% 0.81/1.00 (~(op2(h1(e12), h2(e12)) = h4(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[538, 536])).
% 0.81/1.00 tff(540,plain,
% 0.81/1.00 (((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(541,plain,
% 0.81/1.00 (((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | $false | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(542,plain,
% 0.81/1.00 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> (~(op2(h3(e12), h2(e12)) = h4(e12)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(543,plain,
% 0.81/1.00 ((~(op2(e22, e21) = op2(e22, e22))) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(544,plain,
% 0.81/1.00 ((~(op2(e22, e21) = op2(e22, e22))) <=> (~(op2(e22, e21) = op2(e22, e22)))),
% 0.81/1.00 inference(rewrite,[status(thm)],[])).
% 0.81/1.00 tff(545,plain,
% 0.81/1.00 (~(op2(e22, e21) = op2(e22, e22))),
% 0.81/1.00 inference(and_elim,[status(thm)],[19])).
% 0.81/1.00 tff(546,plain,
% 0.81/1.00 (~(op2(e22, e21) = op2(e22, e22))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[545, 544])).
% 0.81/1.00 tff(547,plain,
% 0.81/1.00 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[546, 543])).
% 0.81/1.00 tff(548,plain,
% 0.81/1.00 (~(op2(h3(e12), h2(e12)) = h4(e12))),
% 0.81/1.00 inference(modus_ponens,[status(thm)],[547, 542])).
% 0.81/1.00 tff(549,plain,
% 0.81/1.00 ((op2(h3(e12), h2(e12)) = h4(e12)) <=> $false),
% 0.81/1.00 inference(iff_false,[status(thm)],[548])).
% 0.81/1.00 tff(550,plain,
% 0.81/1.00 (((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | $false | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.00 inference(monotonicity,[status(thm)],[549])).
% 0.81/1.00 tff(551,plain,
% 0.81/1.00 (((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.01 inference(transitivity,[status(thm)],[550, 541])).
% 0.81/1.01 tff(552,plain,
% 0.81/1.01 (((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(553,plain,
% 0.81/1.01 (((op2(h1(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(554,plain,
% 0.81/1.01 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) <=> (op2(h4(e12), h2(e12)) = h4(e12))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(555,plain,
% 0.81/1.01 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) <=> (op2(h3(e12), h2(e12)) = h4(e12))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(556,plain,
% 0.81/1.01 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) <=> (h2(op1(e12, e12)) = h4(e12))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(557,plain,
% 0.81/1.01 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) <=> (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(558,plain,
% 0.81/1.01 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)))),
% 0.81/1.01 inference(monotonicity,[status(thm)],[557, 556, 555, 554])).
% 0.81/1.01 tff(559,plain,
% 0.81/1.01 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 0.81/1.01 inference(transitivity,[status(thm)],[558, 553])).
% 0.81/1.01 tff(560,plain,
% 0.81/1.01 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(561,plain,
% 0.81/1.01 ((op2(e23, e21) = e23) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(562,plain,
% 0.81/1.01 ((op2(e22, e21) = e23) <=> (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(563,plain,
% 0.81/1.01 ((op2(e21, e21) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(564,plain,
% 0.81/1.01 ((op2(e20, e21) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(565,plain,
% 0.81/1.01 (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 0.81/1.01 inference(monotonicity,[status(thm)],[564, 563, 562, 561])).
% 0.81/1.01 tff(566,plain,
% 0.81/1.01 (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 0.81/1.01 inference(transitivity,[status(thm)],[565, 560])).
% 0.81/1.01 tff(567,plain,
% 0.81/1.01 (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(568,plain,
% 0.81/1.01 ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(569,plain,
% 0.81/1.01 ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23))),
% 0.81/1.01 inference(rewrite,[status(thm)],[])).
% 0.81/1.01 tff(570,plain,
% 0.81/1.01 (((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)) <=> (((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))),
% 0.81/1.01 inference(monotonicity,[status(thm)],[569])).
% 0.81/1.01 tff(571,plain,
% 0.81/1.01 (((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)) <=> ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23))),
% 0.81/1.01 inference(transitivity,[status(thm)],[570, 568])).
% 0.81/1.01 tff(572,axiom,(((((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e23, e20) = e23) | (op2(e23, e21) = e23)) | (op2(e23, e22) = e23)) | (op2(e23, e23) = e23))) & ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax4')).
% 0.81/1.01 tff(573,plain,
% 0.81/1.01 ((((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e23, e20) = e23) | (op2(e23, e21) = e23)) | (op2(e23, e22) = e23)) | (op2(e23, e23) = e23))),
% 0.81/1.02 inference(and_elim,[status(thm)],[572])).
% 0.81/1.02 tff(574,plain,
% 0.81/1.02 (((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))) & ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))),
% 0.81/1.02 inference(and_elim,[status(thm)],[573])).
% 0.81/1.02 tff(575,plain,
% 0.81/1.02 ((((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e23, e20) = e22) | (op2(e23, e21) = e22)) | (op2(e23, e22) = e22)) | (op2(e23, e23) = e22))),
% 0.81/1.02 inference(and_elim,[status(thm)],[574])).
% 0.81/1.02 tff(576,plain,
% 0.81/1.02 (((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))) & ((((op2(e20, e23) = e21) | (op2(e21, e23) = e21)) | (op2(e22, e23) = e21)) | (op2(e23, e23) = e21))),
% 0.88/1.02 inference(and_elim,[status(thm)],[575])).
% 0.88/1.02 tff(577,plain,
% 0.88/1.02 ((((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))),
% 0.88/1.03 inference(and_elim,[status(thm)],[576])).
% 0.88/1.03 tff(578,plain,
% 0.88/1.03 (((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))) & ((((op2(e20, e23) = e20) | (op2(e21, e23) = e20)) | (op2(e22, e23) = e20)) | (op2(e23, e23) = e20))),
% 0.88/1.03 inference(and_elim,[status(thm)],[577])).
% 0.88/1.03 tff(579,plain,
% 0.88/1.03 ((((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e21) = e20)) | (op2(e23, e22) = e20)) | (op2(e23, e23) = e20))),
% 0.88/1.03 inference(and_elim,[status(thm)],[578])).
% 0.88/1.03 tff(580,plain,
% 0.88/1.03 (((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))) & ((((op2(e20, e22) = e23) | (op2(e21, e22) = e23)) | (op2(e22, e22) = e23)) | (op2(e23, e22) = e23))),
% 0.88/1.04 inference(and_elim,[status(thm)],[579])).
% 0.88/1.04 tff(581,plain,
% 0.88/1.04 ((((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))) & ((((op2(e22, e20) = e23) | (op2(e22, e21) = e23)) | (op2(e22, e22) = e23)) | (op2(e22, e23) = e23))),
% 0.88/1.04 inference(and_elim,[status(thm)],[580])).
% 0.88/1.04 tff(582,plain,
% 0.88/1.04 (((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))) & ((((op2(e20, e22) = e22) | (op2(e21, e22) = e22)) | (op2(e22, e22) = e22)) | (op2(e23, e22) = e22))),
% 0.88/1.04 inference(and_elim,[status(thm)],[581])).
% 0.88/1.04 tff(583,plain,
% 0.88/1.04 ((((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))) & ((((op2(e22, e20) = e22) | (op2(e22, e21) = e22)) | (op2(e22, e22) = e22)) | (op2(e22, e23) = e22))),
% 0.88/1.04 inference(and_elim,[status(thm)],[582])).
% 0.88/1.04 tff(584,plain,
% 0.88/1.04 (((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))) & ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))),
% 0.88/1.04 inference(and_elim,[status(thm)],[583])).
% 0.88/1.04 tff(585,plain,
% 0.88/1.04 ((((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))) & ((((op2(e22, e20) = e21) | (op2(e22, e21) = e21)) | (op2(e22, e22) = e21)) | (op2(e22, e23) = e21))),
% 0.88/1.05 inference(and_elim,[status(thm)],[584])).
% 0.88/1.05 tff(586,plain,
% 0.88/1.05 (((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))) & ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))),
% 0.88/1.05 inference(and_elim,[status(thm)],[585])).
% 0.88/1.05 tff(587,plain,
% 0.88/1.05 ((((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e21) = e20)) | (op2(e22, e22) = e20)) | (op2(e22, e23) = e20))),
% 0.88/1.05 inference(and_elim,[status(thm)],[586])).
% 0.88/1.05 tff(588,plain,
% 0.88/1.05 (((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))) & ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23))),
% 0.88/1.05 inference(and_elim,[status(thm)],[587])).
% 0.88/1.05 tff(589,plain,
% 0.88/1.05 ((((op2(e20, e21) = e23) | (op2(e21, e21) = e23)) | (op2(e22, e21) = e23)) | (op2(e23, e21) = e23)),
% 0.88/1.05 inference(and_elim,[status(thm)],[588])).
% 0.88/1.05 tff(590,plain,
% 0.88/1.05 ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[589, 571])).
% 0.88/1.05 tff(591,plain,
% 0.88/1.05 ((op2(e20, e21) = e23) | (op2(e21, e21) = e23) | (op2(e22, e21) = e23) | (op2(e23, e21) = e23)),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[590, 567])).
% 0.88/1.05 tff(592,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[591, 566])).
% 0.88/1.05 tff(593,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[592, 560])).
% 0.88/1.05 tff(594,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[593, 560])).
% 0.88/1.05 tff(595,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[594, 559])).
% 0.88/1.05 tff(596,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[595, 552])).
% 0.88/1.05 tff(597,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[596, 551])).
% 0.88/1.05 tff(598,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[597, 540])).
% 0.88/1.05 tff(599,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[598, 540])).
% 0.88/1.05 tff(600,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[599, 540])).
% 0.88/1.05 tff(601,plain,
% 0.88/1.05 ((op2(h4(e12), h2(e12)) = h4(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[600, 540])).
% 0.88/1.05 tff(602,plain,
% 0.88/1.05 (op2(h4(e12), h2(e12)) = h4(e12)),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[601, 539, 530])).
% 0.88/1.05 tff(603,plain,
% 0.88/1.05 ((op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 0.88/1.05 inference(monotonicity,[status(thm)],[602])).
% 0.88/1.05 tff(604,plain,
% 0.88/1.05 ((op2(h4(e12), h1(e12)) = h4(e12)) <=> (op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12)))),
% 0.88/1.05 inference(symmetry,[status(thm)],[603])).
% 0.88/1.05 tff(605,assumption,(~(op2(h2(e12), h4(e12)) = h2(e12))), introduced(assumption)).
% 0.88/1.05 tff(606,assumption,(~(op2(h2(e12), h3(e12)) = h2(e12))), introduced(assumption)).
% 0.88/1.05 tff(607,plain,
% 0.88/1.05 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12))) <=> (h1(e12) = op2(h1(e12), h3(e12)))),
% 0.88/1.05 inference(monotonicity,[status(thm)],[532])).
% 0.88/1.05 tff(608,plain,
% 0.88/1.05 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 0.88/1.05 inference(transitivity,[status(thm)],[607, 56])).
% 0.88/1.05 tff(609,plain,
% 0.88/1.05 ((~(op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = h1(e12)))),
% 0.88/1.05 inference(monotonicity,[status(thm)],[608])).
% 0.88/1.05 tff(610,plain,
% 0.88/1.05 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)))) <=> (~(op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12))))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(611,plain,
% 0.88/1.05 ((~(op2(e20, e21) = op2(e20, e22))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12))))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(612,plain,
% 0.88/1.05 ((~(op2(e20, e21) = op2(e20, e22))) <=> (~(op2(e20, e21) = op2(e20, e22)))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(613,plain,
% 0.88/1.05 (~(op2(e20, e21) = op2(e20, e22))),
% 0.88/1.05 inference(and_elim,[status(thm)],[78])).
% 0.88/1.05 tff(614,plain,
% 0.88/1.05 (~(op2(e20, e21) = op2(e20, e22))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.88/1.05 tff(615,plain,
% 0.88/1.05 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[614, 611])).
% 0.88/1.05 tff(616,plain,
% 0.88/1.05 (~(op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12)))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[615, 610])).
% 0.88/1.05 tff(617,plain,
% 0.88/1.05 (~(op2(h1(e12), h3(e12)) = h1(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[616, 609])).
% 0.88/1.05 tff(618,plain,
% 0.88/1.05 ((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))),
% 0.88/1.05 inference(unit_resolution,[status(thm)],[489, 617])).
% 0.88/1.05 tff(619,plain,
% 0.88/1.05 (((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12))) <=> ((op2(h2(e12), h2(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(620,plain,
% 0.88/1.05 (((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | $false) <=> ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(621,plain,
% 0.88/1.05 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~(op2(h2(e12), h1(e12)) = h2(e12)))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(622,plain,
% 0.88/1.05 (~(op2(h2(e12), h1(e12)) = h2(e12))),
% 0.88/1.05 inference(modus_ponens,[status(thm)],[175, 621])).
% 0.88/1.05 tff(623,plain,
% 0.88/1.05 ((op2(h2(e12), h1(e12)) = h2(e12)) <=> $false),
% 0.88/1.05 inference(iff_false,[status(thm)],[622])).
% 0.88/1.05 tff(624,plain,
% 0.88/1.05 (((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12))) <=> ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | $false)),
% 0.88/1.05 inference(monotonicity,[status(thm)],[623])).
% 0.88/1.05 tff(625,plain,
% 0.88/1.05 (((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12))) <=> ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)))),
% 0.88/1.05 inference(transitivity,[status(thm)],[624, 620])).
% 0.88/1.05 tff(626,plain,
% 0.88/1.05 (((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12))) <=> ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(627,plain,
% 0.88/1.05 (((op2(h2(e12), h1(e12)) = h2(e12)) | (h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12))) <=> ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(628,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(629,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(h2(e12), h3(e12)) = h2(e12))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(630,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (h2(op1(e12, e12)) = h2(e12))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(631,plain,
% 0.88/1.05 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(h2(e12), h1(e12)) = h2(e12))),
% 0.88/1.05 inference(rewrite,[status(thm)],[])).
% 0.88/1.05 tff(632,plain,
% 0.88/1.05 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(h2(e12), h1(e12)) = h2(e12)) | (h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)))),
% 0.88/1.05 inference(monotonicity,[status(thm)],[631, 630, 629, 628])).
% 0.88/1.05 tff(633,plain,
% 0.88/1.05 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)))),
% 0.88/1.06 inference(transitivity,[status(thm)],[632, 627])).
% 0.88/1.06 tff(634,plain,
% 0.88/1.06 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(635,plain,
% 0.88/1.06 ((op2(e21, e23) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(636,plain,
% 0.88/1.06 ((op2(e21, e22) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(637,plain,
% 0.88/1.06 ((op2(e21, e21) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(638,plain,
% 0.88/1.06 ((op2(e21, e20) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(639,plain,
% 0.88/1.06 (((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.88/1.06 inference(monotonicity,[status(thm)],[638, 637, 636, 635])).
% 0.88/1.06 tff(640,plain,
% 0.88/1.06 (((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.88/1.06 inference(transitivity,[status(thm)],[639, 634])).
% 0.88/1.06 tff(641,plain,
% 0.88/1.06 (((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21)) <=> ((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(642,plain,
% 0.88/1.06 ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21)) <=> ((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(643,plain,
% 0.88/1.06 ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) <=> ((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21))),
% 0.88/1.06 inference(rewrite,[status(thm)],[])).
% 0.88/1.06 tff(644,plain,
% 0.88/1.06 (((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21)) <=> (((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))),
% 0.88/1.06 inference(monotonicity,[status(thm)],[643])).
% 0.88/1.06 tff(645,plain,
% 0.88/1.06 (((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21)) <=> ((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21))),
% 0.88/1.06 inference(transitivity,[status(thm)],[644, 642])).
% 0.88/1.06 tff(646,plain,
% 0.88/1.06 ((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))) & ((((op2(e21, e20) = e23) | (op2(e21, e21) = e23)) | (op2(e21, e22) = e23)) | (op2(e21, e23) = e23))),
% 0.88/1.06 inference(and_elim,[status(thm)],[588])).
% 0.88/1.06 tff(647,plain,
% 0.88/1.06 (((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))) & ((((op2(e20, e21) = e22) | (op2(e21, e21) = e22)) | (op2(e22, e21) = e22)) | (op2(e23, e21) = e22))),
% 0.88/1.06 inference(and_elim,[status(thm)],[646])).
% 0.88/1.06 tff(648,plain,
% 0.88/1.06 ((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))) & ((((op2(e21, e20) = e22) | (op2(e21, e21) = e22)) | (op2(e21, e22) = e22)) | (op2(e21, e23) = e22))),
% 0.88/1.06 inference(and_elim,[status(thm)],[647])).
% 0.88/1.06 tff(649,plain,
% 0.88/1.06 (((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))) & ((((op2(e20, e21) = e21) | (op2(e21, e21) = e21)) | (op2(e22, e21) = e21)) | (op2(e23, e21) = e21))),
% 0.88/1.06 inference(and_elim,[status(thm)],[648])).
% 0.88/1.06 tff(650,plain,
% 0.88/1.06 ((((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))) & ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21))),
% 0.88/1.07 inference(and_elim,[status(thm)],[649])).
% 0.88/1.07 tff(651,plain,
% 0.88/1.07 ((((op2(e21, e20) = e21) | (op2(e21, e21) = e21)) | (op2(e21, e22) = e21)) | (op2(e21, e23) = e21)),
% 0.88/1.07 inference(and_elim,[status(thm)],[650])).
% 0.88/1.07 tff(652,plain,
% 0.88/1.07 ((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21)),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[651, 645])).
% 0.88/1.07 tff(653,plain,
% 0.88/1.07 ((op2(e21, e20) = e21) | (op2(e21, e21) = e21) | (op2(e21, e22) = e21) | (op2(e21, e23) = e21)),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[652, 641])).
% 0.88/1.07 tff(654,plain,
% 0.88/1.07 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[653, 640])).
% 0.88/1.07 tff(655,plain,
% 0.88/1.07 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[654, 634])).
% 0.88/1.07 tff(656,plain,
% 0.88/1.07 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[655, 634])).
% 0.88/1.07 tff(657,plain,
% 0.88/1.07 ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[656, 633])).
% 0.88/1.07 tff(658,plain,
% 0.88/1.07 ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h2(e12))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[657, 626])).
% 0.88/1.07 tff(659,plain,
% 0.88/1.07 ((h2(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[658, 625])).
% 0.88/1.07 tff(660,plain,
% 0.88/1.07 ((op2(h2(e12), h2(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[659, 619])).
% 0.88/1.07 tff(661,plain,
% 0.88/1.07 (op2(h2(e12), h2(e12)) = h2(e12)),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[660, 605, 606])).
% 0.88/1.07 tff(662,assumption,((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))), introduced(assumption)).
% 0.88/1.07 tff(663,plain,
% 0.88/1.07 ((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[32, 606])).
% 0.88/1.07 tff(664,assumption,((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12)))), introduced(assumption)).
% 0.88/1.07 tff(665,plain,
% 0.88/1.07 ((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[54, 605])).
% 0.88/1.07 tff(666,plain,
% 0.88/1.07 (~((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[487, 665, 62, 64, 664, 663, 662])).
% 0.88/1.07 tff(667,plain,
% 0.88/1.07 ($false),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[36, 666, 661])).
% 0.88/1.07 tff(668,plain,((op2(h2(e12), h4(e12)) = h2(e12)) | (~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))) | (~((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12))))))) | (op2(h2(e12), h3(e12)) = h2(e12))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.07 tff(669,plain,
% 0.88/1.07 (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[668, 618, 64, 62, 606, 605])).
% 0.88/1.07 tff(670,plain,
% 0.88/1.07 (((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12)))) | (op2(h4(e12), h1(e12)) = h4(e12))),
% 0.88/1.07 inference(tautology,[status(thm)],[])).
% 0.88/1.07 tff(671,plain,
% 0.88/1.07 (op2(h4(e12), h1(e12)) = h4(e12)),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[670, 669])).
% 0.88/1.07 tff(672,plain,
% 0.88/1.07 (op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[671, 604])).
% 0.88/1.07 tff(673,plain,
% 0.88/1.07 ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(674,plain,
% 0.88/1.07 ((~(op2(e23, e20) = op2(e23, e21))) <=> (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(675,plain,
% 0.88/1.07 ((~(op2(e23, e20) = op2(e23, e21))) <=> (~(op2(e23, e20) = op2(e23, e21)))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(676,plain,
% 0.88/1.07 (~(op2(e23, e20) = op2(e23, e21))),
% 0.88/1.07 inference(and_elim,[status(thm)],[16])).
% 0.88/1.07 tff(677,plain,
% 0.88/1.07 (~(op2(e23, e20) = op2(e23, e21))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[676, 675])).
% 0.88/1.07 tff(678,plain,
% 0.88/1.07 (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[677, 674])).
% 0.88/1.07 tff(679,plain,
% 0.88/1.07 (~(op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12)))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[678, 673])).
% 0.88/1.07 tff(680,plain,
% 0.88/1.07 ($false),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[679, 672])).
% 0.88/1.07 tff(681,plain,((~(op2(h1(e12), h2(e12)) = h1(e12))) | (~((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))))) | (~((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12))))))) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h4(e12)) = h2(e12)) | (h2(op1(e12, e12)) = h4(e12))), inference(lemma,lemma(discharge,[]))).
% 0.88/1.07 tff(682,plain,
% 0.88/1.07 (~(op2(h1(e12), h2(e12)) = h1(e12))),
% 0.88/1.07 inference(unit_resolution,[status(thm)],[681, 39, 35, 31, 53, 529])).
% 0.88/1.07 tff(683,plain,
% 0.88/1.07 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(684,plain,
% 0.88/1.07 (((op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | $false) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(685,plain,
% 0.88/1.07 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h1(e12), h4(e12)) = h1(e12)))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(686,plain,
% 0.88/1.07 (~(op2(h1(e12), h4(e12)) = h1(e12))),
% 0.88/1.07 inference(modus_ponens,[status(thm)],[228, 685])).
% 0.88/1.07 tff(687,plain,
% 0.88/1.07 ((op2(h1(e12), h4(e12)) = h1(e12)) <=> $false),
% 0.88/1.07 inference(iff_false,[status(thm)],[686])).
% 0.88/1.07 tff(688,plain,
% 0.88/1.07 ((h1(op1(e12, e12)) = h1(e12)) <=> (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(689,plain,
% 0.88/1.07 (((h1(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h4(e12)) = h1(e12))) <=> ((op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | $false)),
% 0.88/1.07 inference(monotonicity,[status(thm)],[688, 687])).
% 0.88/1.07 tff(690,plain,
% 0.88/1.07 (((h1(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h4(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 0.88/1.07 inference(transitivity,[status(thm)],[689, 684])).
% 0.88/1.07 tff(691,plain,
% 0.88/1.07 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h4(e12)) = h1(e12)))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(692,plain,
% 0.88/1.07 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(693,plain,
% 0.88/1.07 ((op2(e20, e23) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(694,plain,
% 0.88/1.07 ((op2(e20, e22) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(695,plain,
% 0.88/1.07 ((op2(e20, e21) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(696,plain,
% 0.88/1.07 ((op2(e20, e20) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(697,plain,
% 0.88/1.07 (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.07 inference(monotonicity,[status(thm)],[696, 695, 694, 693])).
% 0.88/1.07 tff(698,plain,
% 0.88/1.07 (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 0.88/1.07 inference(transitivity,[status(thm)],[697, 692])).
% 0.88/1.07 tff(699,plain,
% 0.88/1.07 (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(700,plain,
% 0.88/1.07 ((((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(701,plain,
% 0.88/1.07 ((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20))),
% 0.88/1.07 inference(rewrite,[status(thm)],[])).
% 0.88/1.07 tff(702,plain,
% 0.88/1.07 (((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) <=> (((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20))),
% 0.88/1.07 inference(monotonicity,[status(thm)],[701])).
% 0.88/1.07 tff(703,plain,
% 0.88/1.07 (((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20))),
% 0.88/1.07 inference(transitivity,[status(thm)],[702, 700])).
% 0.88/1.07 tff(704,plain,
% 0.88/1.07 (((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))) & ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))),
% 0.88/1.08 inference(and_elim,[status(thm)],[650])).
% 0.88/1.08 tff(705,plain,
% 0.88/1.08 ((((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))),
% 0.88/1.08 inference(and_elim,[status(thm)],[704])).
% 0.88/1.08 tff(706,plain,
% 0.88/1.08 (((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))) & ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))),
% 0.88/1.08 inference(and_elim,[status(thm)],[705])).
% 0.88/1.08 tff(707,plain,
% 0.88/1.08 ((((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))) & ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))),
% 0.88/1.08 inference(and_elim,[status(thm)],[706])).
% 0.88/1.08 tff(708,plain,
% 0.88/1.08 (((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))) & ((((op2(e20, e20) = e22) | (op2(e21, e20) = e22)) | (op2(e22, e20) = e22)) | (op2(e23, e20) = e22))),
% 0.88/1.08 inference(and_elim,[status(thm)],[707])).
% 0.88/1.08 tff(709,plain,
% 0.88/1.08 ((((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))) & ((((op2(e20, e20) = e22) | (op2(e20, e21) = e22)) | (op2(e20, e22) = e22)) | (op2(e20, e23) = e22))),
% 0.88/1.08 inference(and_elim,[status(thm)],[708])).
% 0.88/1.08 tff(710,plain,
% 0.88/1.08 (((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))) & ((((op2(e20, e20) = e21) | (op2(e21, e20) = e21)) | (op2(e22, e20) = e21)) | (op2(e23, e20) = e21))),
% 0.88/1.08 inference(and_elim,[status(thm)],[709])).
% 0.88/1.08 tff(711,plain,
% 0.88/1.08 ((((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))) & ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))),
% 0.88/1.08 inference(and_elim,[status(thm)],[710])).
% 0.88/1.08 tff(712,plain,
% 0.88/1.08 (((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)) & ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))),
% 0.94/1.08 inference(and_elim,[status(thm)],[711])).
% 0.94/1.08 tff(713,plain,
% 0.94/1.08 ((((op2(e20, e20) = e20) | (op2(e20, e21) = e20)) | (op2(e20, e22) = e20)) | (op2(e20, e23) = e20)),
% 0.94/1.08 inference(and_elim,[status(thm)],[712])).
% 0.94/1.08 tff(714,plain,
% 0.94/1.08 ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[713, 703])).
% 0.94/1.08 tff(715,plain,
% 0.94/1.08 ((op2(e20, e20) = e20) | (op2(e20, e21) = e20) | (op2(e20, e22) = e20) | (op2(e20, e23) = e20)),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[714, 699])).
% 0.94/1.08 tff(716,plain,
% 0.94/1.08 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[715, 698])).
% 0.94/1.08 tff(717,plain,
% 0.94/1.08 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[716, 692])).
% 0.94/1.08 tff(718,plain,
% 0.94/1.08 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[717, 692])).
% 0.94/1.08 tff(719,plain,
% 0.94/1.08 ((h1(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h4(e12)) = h1(e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[718, 691])).
% 0.94/1.08 tff(720,plain,
% 0.94/1.08 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[719, 690])).
% 0.94/1.08 tff(721,plain,
% 0.94/1.08 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[720, 683])).
% 0.94/1.08 tff(722,plain,
% 0.94/1.08 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[721, 683])).
% 0.94/1.08 tff(723,plain,
% 0.94/1.08 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[722, 683])).
% 0.94/1.08 tff(724,plain,
% 0.94/1.08 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[723, 683])).
% 0.94/1.08 tff(725,plain,
% 0.94/1.08 (op2(h1(e12), h3(e12)) = h1(e12)),
% 0.94/1.08 inference(unit_resolution,[status(thm)],[724, 682, 503])).
% 0.94/1.08 tff(726,plain,
% 0.94/1.08 (h1(e12) = op2(h1(e12), h3(e12))),
% 0.94/1.08 inference(symmetry,[status(thm)],[725])).
% 0.94/1.08 tff(727,plain,
% 0.94/1.08 ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (h3(op1(e12, op1(e12, e12))) = h1(e12))),
% 0.94/1.08 inference(rewrite,[status(thm)],[])).
% 0.94/1.08 tff(728,plain,
% 0.94/1.08 ((h3(e10) = op2(e22, op2(e22, e22))) <=> (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 0.94/1.08 inference(rewrite,[status(thm)],[])).
% 0.94/1.08 tff(729,plain,
% 0.94/1.08 ((h3(e10) = op2(e22, op2(e22, e22))) <=> (h3(e10) = op2(e22, op2(e22, e22)))),
% 0.94/1.08 inference(rewrite,[status(thm)],[])).
% 0.94/1.08 tff(730,axiom,((((h3(e12) = e22) & (h3(e10) = op2(e22, op2(e22, e22)))) & (h3(e11) = op2(e22, op2(e22, op2(e22, e22))))) & (h3(e13) = op2(e22, e22))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax16')).
% 0.94/1.08 tff(731,plain,
% 0.94/1.08 (((h3(e12) = e22) & (h3(e10) = op2(e22, op2(e22, e22)))) & (h3(e11) = op2(e22, op2(e22, op2(e22, e22))))),
% 0.94/1.08 inference(and_elim,[status(thm)],[730])).
% 0.94/1.08 tff(732,plain,
% 0.94/1.08 ((h3(e12) = e22) & (h3(e10) = op2(e22, op2(e22, e22)))),
% 0.94/1.08 inference(and_elim,[status(thm)],[731])).
% 0.94/1.08 tff(733,plain,
% 0.94/1.08 (h3(e10) = op2(e22, op2(e22, e22))),
% 0.94/1.08 inference(and_elim,[status(thm)],[732])).
% 0.94/1.08 tff(734,plain,
% 0.94/1.08 (h3(e10) = op2(e22, op2(e22, e22))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[733, 729])).
% 0.94/1.08 tff(735,plain,
% 0.94/1.08 (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[734, 728])).
% 0.94/1.08 tff(736,plain,
% 0.94/1.08 (h3(op1(e12, op1(e12, e12))) = h1(e12)),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[735, 727])).
% 0.94/1.08 tff(737,assumption,(~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))), introduced(assumption)).
% 0.94/1.08 tff(738,plain,
% 0.94/1.08 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 0.94/1.08 inference(tautology,[status(thm)],[])).
% 0.94/1.08 tff(739,plain,
% 0.94/1.08 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 0.94/1.08 inference(unit_resolution,[status(thm)],[738, 737])).
% 0.94/1.08 tff(740,plain,
% 0.94/1.08 ((e12 = op1(e12, e12)) <=> (op1(e12, e12) = e12)),
% 0.94/1.08 inference(commutativity,[status(thm)],[])).
% 0.94/1.08 tff(741,plain,
% 0.94/1.08 ((~(e12 = op1(e12, e12))) <=> (~(op1(e12, e12) = e12))),
% 0.94/1.08 inference(monotonicity,[status(thm)],[740])).
% 0.94/1.08 tff(742,plain,
% 0.94/1.08 ((~(e12 = e13)) <=> (~(e12 = op1(e12, e12)))),
% 0.94/1.08 inference(rewrite,[status(thm)],[])).
% 0.94/1.08 tff(743,plain,
% 0.94/1.08 ((~(e12 = e13)) <=> (~(e12 = e13))),
% 0.94/1.08 inference(rewrite,[status(thm)],[])).
% 0.94/1.08 tff(744,axiom,((((((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))) & (~(e11 = e12))) & (~(e11 = e13))) & (~(e12 = e13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax7')).
% 0.94/1.08 tff(745,plain,
% 0.94/1.08 (~(e12 = e13)),
% 0.94/1.08 inference(and_elim,[status(thm)],[744])).
% 0.94/1.08 tff(746,plain,
% 0.94/1.08 (~(e12 = e13)),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[745, 743])).
% 0.94/1.08 tff(747,plain,
% 0.94/1.08 (~(e12 = op1(e12, e12))),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[746, 742])).
% 0.94/1.08 tff(748,plain,
% 0.94/1.08 (~(op1(e12, e12) = e12)),
% 0.94/1.08 inference(modus_ponens,[status(thm)],[747, 741])).
% 0.94/1.09 tff(749,plain,
% 0.94/1.09 (((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12)),
% 0.94/1.09 inference(tautology,[status(thm)],[])).
% 0.94/1.09 tff(750,plain,
% 0.94/1.09 ((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))),
% 0.94/1.09 inference(unit_resolution,[status(thm)],[749, 748])).
% 0.94/1.09 tff(751,plain,
% 0.94/1.09 (((~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))) | (~((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) <=> ((~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))))),
% 0.94/1.09 inference(rewrite,[status(thm)],[])).
% 0.94/1.09 tff(752,plain,
% 0.94/1.09 (((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) <=> (~((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))),
% 0.94/1.09 inference(rewrite,[status(thm)],[])).
% 0.94/1.09 tff(753,plain,
% 0.94/1.09 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))))),
% 0.94/1.09 inference(rewrite,[status(thm)],[])).
% 0.94/1.09 tff(754,plain,
% 0.94/1.09 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) <=> (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))),
% 0.94/1.09 inference(rewrite,[status(thm)],[])).
% 0.94/1.09 tff(755,plain,
% 0.94/1.09 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> ((~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))) | (~((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))))),
% 0.94/1.09 inference(monotonicity,[status(thm)],[754, 753, 752])).
% 0.94/1.09 tff(756,plain,
% 0.94/1.09 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> ((~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))))),
% 0.94/1.09 inference(transitivity,[status(thm)],[755, 751])).
% 0.94/1.09 tff(757,plain,
% 0.94/1.09 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 0.94/1.10 inference(rewrite,[status(thm)],[])).
% 0.94/1.10 tff(758,plain,
% 0.94/1.10 (($false | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 0.94/1.10 inference(rewrite,[status(thm)],[])).
% 0.94/1.10 tff(759,plain,
% 0.94/1.10 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & $true & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 0.94/1.10 inference(rewrite,[status(thm)],[])).
% 0.94/1.10 tff(760,plain,
% 0.94/1.10 (($true | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> $true),
% 0.94/1.10 inference(rewrite,[status(thm)],[])).
% 0.94/1.10 tff(761,plain,
% 0.94/1.10 ((~(op1(e10, e10) = op1(e12, e10))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 0.94/1.10 inference(rewrite,[status(thm)],[])).
% 0.94/1.10 tff(762,plain,
% 0.94/1.10 ((~(op1(e10, e10) = op1(e12, e10))) <=> (~(op1(e10, e10) = op1(e12, e10)))),
% 0.94/1.10 inference(rewrite,[status(thm)],[])).
% 0.94/1.10 tff(763,axiom,((((((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))) & (~(op1(e13, e11) = op1(e13, e12)))) & (~(op1(e13, e11) = op1(e13, e13)))) & (~(op1(e13, e12) = op1(e13, e13)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax5')).
% 0.94/1.10 tff(764,plain,
% 0.94/1.10 (((((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))) & (~(op1(e13, e11) = op1(e13, e12)))) & (~(op1(e13, e11) = op1(e13, e13)))),
% 0.94/1.10 inference(and_elim,[status(thm)],[763])).
% 0.94/1.10 tff(765,plain,
% 0.94/1.10 ((((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))) & (~(op1(e13, e11) = op1(e13, e12)))),
% 0.94/1.10 inference(and_elim,[status(thm)],[764])).
% 0.94/1.10 tff(766,plain,
% 0.94/1.10 (((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))) & (~(op1(e13, e10) = op1(e13, e13)))),
% 0.94/1.10 inference(and_elim,[status(thm)],[765])).
% 0.94/1.10 tff(767,plain,
% 0.94/1.10 ((((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))) & (~(op1(e13, e10) = op1(e13, e12)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[766])).
% 0.94/1.11 tff(768,plain,
% 0.94/1.11 (((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))) & (~(op1(e13, e10) = op1(e13, e11)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[767])).
% 0.94/1.11 tff(769,plain,
% 0.94/1.11 ((((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))) & (~(op1(e12, e12) = op1(e12, e13)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[768])).
% 0.94/1.11 tff(770,plain,
% 0.94/1.11 (((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))) & (~(op1(e12, e11) = op1(e12, e13)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[769])).
% 0.94/1.11 tff(771,plain,
% 0.94/1.11 ((((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))) & (~(op1(e12, e11) = op1(e12, e12)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[770])).
% 0.94/1.11 tff(772,plain,
% 0.94/1.11 (((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))) & (~(op1(e12, e10) = op1(e12, e13)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[771])).
% 0.94/1.11 tff(773,plain,
% 0.94/1.11 ((((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))) & (~(op1(e12, e10) = op1(e12, e12)))),
% 0.94/1.11 inference(and_elim,[status(thm)],[772])).
% 0.94/1.11 tff(774,plain,
% 0.94/1.11 (((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))) & (~(op1(e12, e10) = op1(e12, e11)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[773])).
% 0.94/1.12 tff(775,plain,
% 0.94/1.12 ((((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))) & (~(op1(e11, e12) = op1(e11, e13)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[774])).
% 0.94/1.12 tff(776,plain,
% 0.94/1.12 (((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))) & (~(op1(e11, e11) = op1(e11, e13)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[775])).
% 0.94/1.12 tff(777,plain,
% 0.94/1.12 ((((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))) & (~(op1(e11, e11) = op1(e11, e12)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[776])).
% 0.94/1.12 tff(778,plain,
% 0.94/1.12 (((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))) & (~(op1(e11, e10) = op1(e11, e13)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[777])).
% 0.94/1.12 tff(779,plain,
% 0.94/1.12 ((((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))) & (~(op1(e11, e10) = op1(e11, e12)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[778])).
% 0.94/1.12 tff(780,plain,
% 0.94/1.12 (((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))) & (~(op1(e11, e10) = op1(e11, e11)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[779])).
% 0.94/1.12 tff(781,plain,
% 0.94/1.12 ((((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))) & (~(op1(e10, e12) = op1(e10, e13)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[780])).
% 0.94/1.12 tff(782,plain,
% 0.94/1.12 (((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))) & (~(op1(e10, e11) = op1(e10, e13)))),
% 0.94/1.12 inference(and_elim,[status(thm)],[781])).
% 0.94/1.12 tff(783,plain,
% 0.94/1.12 ((((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))) & (~(op1(e10, e11) = op1(e10, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[782])).
% 0.94/1.13 tff(784,plain,
% 0.94/1.13 (((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))) & (~(op1(e10, e10) = op1(e10, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[783])).
% 0.94/1.13 tff(785,plain,
% 0.94/1.13 ((((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))) & (~(op1(e10, e10) = op1(e10, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[784])).
% 0.94/1.13 tff(786,plain,
% 0.94/1.13 (((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))) & (~(op1(e10, e10) = op1(e10, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[785])).
% 0.94/1.13 tff(787,plain,
% 0.94/1.13 ((((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))) & (~(op1(e12, e13) = op1(e13, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[786])).
% 0.94/1.13 tff(788,plain,
% 0.94/1.13 (((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))) & (~(op1(e11, e13) = op1(e13, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[787])).
% 0.94/1.13 tff(789,plain,
% 0.94/1.13 ((((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))) & (~(op1(e11, e13) = op1(e12, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[788])).
% 0.94/1.13 tff(790,plain,
% 0.94/1.13 (((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))) & (~(op1(e10, e13) = op1(e13, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[789])).
% 0.94/1.13 tff(791,plain,
% 0.94/1.13 ((((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))) & (~(op1(e10, e13) = op1(e12, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[790])).
% 0.94/1.13 tff(792,plain,
% 0.94/1.13 (((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))) & (~(op1(e10, e13) = op1(e11, e13)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[791])).
% 0.94/1.13 tff(793,plain,
% 0.94/1.13 ((((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))) & (~(op1(e12, e12) = op1(e13, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[792])).
% 0.94/1.13 tff(794,plain,
% 0.94/1.13 (((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))) & (~(op1(e11, e12) = op1(e13, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[793])).
% 0.94/1.13 tff(795,plain,
% 0.94/1.13 ((((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))) & (~(op1(e11, e12) = op1(e12, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[794])).
% 0.94/1.13 tff(796,plain,
% 0.94/1.13 (((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))) & (~(op1(e10, e12) = op1(e13, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[795])).
% 0.94/1.13 tff(797,plain,
% 0.94/1.13 ((((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))) & (~(op1(e10, e12) = op1(e12, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[796])).
% 0.94/1.13 tff(798,plain,
% 0.94/1.13 (((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))) & (~(op1(e10, e12) = op1(e11, e12)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[797])).
% 0.94/1.13 tff(799,plain,
% 0.94/1.13 ((((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))) & (~(op1(e12, e11) = op1(e13, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[798])).
% 0.94/1.13 tff(800,plain,
% 0.94/1.13 (((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))) & (~(op1(e11, e11) = op1(e13, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[799])).
% 0.94/1.13 tff(801,plain,
% 0.94/1.13 ((((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))) & (~(op1(e11, e11) = op1(e12, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[800])).
% 0.94/1.13 tff(802,plain,
% 0.94/1.13 (((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))) & (~(op1(e10, e11) = op1(e13, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[801])).
% 0.94/1.13 tff(803,plain,
% 0.94/1.13 ((((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))) & (~(op1(e10, e11) = op1(e12, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[802])).
% 0.94/1.13 tff(804,plain,
% 0.94/1.13 (((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))) & (~(op1(e10, e11) = op1(e11, e11)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[803])).
% 0.94/1.13 tff(805,plain,
% 0.94/1.13 ((((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))) & (~(op1(e12, e10) = op1(e13, e10)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[804])).
% 0.94/1.13 tff(806,plain,
% 0.94/1.13 (((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))) & (~(op1(e11, e10) = op1(e13, e10)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[805])).
% 0.94/1.13 tff(807,plain,
% 0.94/1.13 ((((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))) & (~(op1(e11, e10) = op1(e12, e10)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[806])).
% 0.94/1.13 tff(808,plain,
% 0.94/1.13 (((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))) & (~(op1(e10, e10) = op1(e13, e10)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[807])).
% 0.94/1.13 tff(809,plain,
% 0.94/1.13 ((~(op1(e10, e10) = op1(e11, e10))) & (~(op1(e10, e10) = op1(e12, e10)))),
% 0.94/1.13 inference(and_elim,[status(thm)],[808])).
% 0.94/1.13 tff(810,plain,
% 0.94/1.13 (~(op1(e10, e10) = op1(e12, e10))),
% 0.94/1.14 inference(and_elim,[status(thm)],[809])).
% 0.94/1.14 tff(811,plain,
% 0.94/1.14 (~(op1(e10, e10) = op1(e12, e10))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[810, 762])).
% 0.94/1.14 tff(812,plain,
% 0.94/1.14 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[811, 761])).
% 0.94/1.14 tff(813,plain,
% 0.94/1.14 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) <=> $false),
% 0.94/1.14 inference(iff_false,[status(thm)],[812])).
% 0.94/1.14 tff(814,plain,
% 0.94/1.14 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) <=> (~$false)),
% 0.94/1.14 inference(monotonicity,[status(thm)],[813])).
% 0.94/1.14 tff(815,plain,
% 0.94/1.14 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) <=> $true),
% 0.94/1.14 inference(transitivity,[status(thm)],[814, 135])).
% 0.94/1.14 tff(816,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> ($true | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(monotonicity,[status(thm)],[815])).
% 0.94/1.14 tff(817,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> $true),
% 0.94/1.14 inference(transitivity,[status(thm)],[816, 760])).
% 0.94/1.14 tff(818,plain,
% 0.94/1.14 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & $true & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 0.94/1.14 inference(monotonicity,[status(thm)],[817])).
% 0.94/1.14 tff(819,plain,
% 0.94/1.14 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 0.94/1.14 inference(transitivity,[status(thm)],[818, 759])).
% 0.94/1.14 tff(820,plain,
% 0.94/1.14 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & $true & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(821,plain,
% 0.94/1.14 (($true | $false) <=> $true),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(822,plain,
% 0.94/1.14 ((~(e11 = e12)) <=> (~(op1(e12, op1(e12, op1(e12, e12))) = e12))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(823,plain,
% 0.94/1.14 ((~(e11 = e12)) <=> (~(e11 = e12))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(824,plain,
% 0.94/1.14 (((((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))) & (~(e11 = e12))) & (~(e11 = e13))),
% 0.94/1.14 inference(and_elim,[status(thm)],[744])).
% 0.94/1.14 tff(825,plain,
% 0.94/1.14 ((((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))) & (~(e11 = e12))),
% 0.94/1.14 inference(and_elim,[status(thm)],[824])).
% 0.94/1.14 tff(826,plain,
% 0.94/1.14 (~(e11 = e12)),
% 0.94/1.14 inference(and_elim,[status(thm)],[825])).
% 0.94/1.14 tff(827,plain,
% 0.94/1.14 (~(e11 = e12)),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[826, 823])).
% 0.94/1.14 tff(828,plain,
% 0.94/1.14 (~(op1(e12, op1(e12, op1(e12, e12))) = e12)),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[827, 822])).
% 0.94/1.14 tff(829,plain,
% 0.94/1.14 ((op1(e12, op1(e12, op1(e12, e12))) = e12) <=> $false),
% 0.94/1.14 inference(iff_false,[status(thm)],[828])).
% 0.94/1.14 tff(830,plain,
% 0.94/1.14 ((~(op1(e12, e12) = op1(e12, e13))) <=> (~(op1(e12, e12) = op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(831,plain,
% 0.94/1.14 ((~(op1(e12, e12) = op1(e12, e13))) <=> (~(op1(e12, e12) = op1(e12, e13)))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(832,plain,
% 0.94/1.14 (~(op1(e12, e12) = op1(e12, e13))),
% 0.94/1.14 inference(and_elim,[status(thm)],[769])).
% 0.94/1.14 tff(833,plain,
% 0.94/1.14 (~(op1(e12, e12) = op1(e12, e13))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[832, 831])).
% 0.94/1.14 tff(834,plain,
% 0.94/1.14 (~(op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[833, 830])).
% 0.94/1.14 tff(835,plain,
% 0.94/1.14 ((op1(e12, e12) = op1(e12, op1(e12, e12))) <=> $false),
% 0.94/1.14 inference(iff_false,[status(thm)],[834])).
% 0.94/1.14 tff(836,plain,
% 0.94/1.14 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> (~$false)),
% 0.94/1.14 inference(monotonicity,[status(thm)],[835])).
% 0.94/1.14 tff(837,plain,
% 0.94/1.14 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> $true),
% 0.94/1.14 inference(transitivity,[status(thm)],[836, 135])).
% 0.94/1.14 tff(838,plain,
% 0.94/1.14 (((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) <=> ($true | $false)),
% 0.94/1.14 inference(monotonicity,[status(thm)],[837, 829])).
% 0.94/1.14 tff(839,plain,
% 0.94/1.14 (((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) <=> $true),
% 0.94/1.14 inference(transitivity,[status(thm)],[838, 821])).
% 0.94/1.14 tff(840,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | $false) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(841,plain,
% 0.94/1.14 ((~(op1(e11, e10) = op1(e12, e10))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(842,plain,
% 0.94/1.14 ((~(op1(e11, e10) = op1(e12, e10))) <=> (~(op1(e11, e10) = op1(e12, e10)))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(843,plain,
% 0.94/1.14 (~(op1(e11, e10) = op1(e12, e10))),
% 0.94/1.14 inference(and_elim,[status(thm)],[807])).
% 0.94/1.14 tff(844,plain,
% 0.94/1.14 (~(op1(e11, e10) = op1(e12, e10))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[843, 842])).
% 0.94/1.14 tff(845,plain,
% 0.94/1.14 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[844, 841])).
% 0.94/1.14 tff(846,plain,
% 0.94/1.14 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) <=> $false),
% 0.94/1.14 inference(iff_false,[status(thm)],[845])).
% 0.94/1.14 tff(847,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | $false)),
% 0.94/1.14 inference(monotonicity,[status(thm)],[846])).
% 0.94/1.14 tff(848,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(transitivity,[status(thm)],[847, 840])).
% 0.94/1.14 tff(849,plain,
% 0.94/1.14 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & $true & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 0.94/1.14 inference(monotonicity,[status(thm)],[848, 839])).
% 0.94/1.14 tff(850,plain,
% 0.94/1.14 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 0.94/1.14 inference(transitivity,[status(thm)],[849, 820])).
% 0.94/1.14 tff(851,plain,
% 0.94/1.14 (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & $false) <=> $false),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(852,plain,
% 0.94/1.14 ((~(e10 = e12)) <=> (~(op1(e12, op1(e12, e12)) = e12))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(853,plain,
% 0.94/1.14 ((~(e10 = e12)) <=> (~(e10 = e12))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(854,plain,
% 0.94/1.14 (((~(e10 = e11)) & (~(e10 = e12))) & (~(e10 = e13))),
% 0.94/1.14 inference(and_elim,[status(thm)],[825])).
% 0.94/1.14 tff(855,plain,
% 0.94/1.14 ((~(e10 = e11)) & (~(e10 = e12))),
% 0.94/1.14 inference(and_elim,[status(thm)],[854])).
% 0.94/1.14 tff(856,plain,
% 0.94/1.14 (~(e10 = e12)),
% 0.94/1.14 inference(and_elim,[status(thm)],[855])).
% 0.94/1.14 tff(857,plain,
% 0.94/1.14 (~(e10 = e12)),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[856, 853])).
% 0.94/1.14 tff(858,plain,
% 0.94/1.14 (~(op1(e12, op1(e12, e12)) = e12)),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[857, 852])).
% 0.94/1.14 tff(859,plain,
% 0.94/1.14 ((op1(e12, op1(e12, e12)) = e12) <=> $false),
% 0.94/1.14 inference(iff_false,[status(thm)],[858])).
% 0.94/1.14 tff(860,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | $false) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(861,plain,
% 0.94/1.14 ((~(op1(e10, e13) = op1(e12, e13))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(862,plain,
% 0.94/1.14 ((~(op1(e10, e13) = op1(e12, e13))) <=> (~(op1(e10, e13) = op1(e12, e13)))),
% 0.94/1.14 inference(rewrite,[status(thm)],[])).
% 0.94/1.14 tff(863,plain,
% 0.94/1.14 (~(op1(e10, e13) = op1(e12, e13))),
% 0.94/1.14 inference(and_elim,[status(thm)],[791])).
% 0.94/1.14 tff(864,plain,
% 0.94/1.14 (~(op1(e10, e13) = op1(e12, e13))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[863, 862])).
% 0.94/1.14 tff(865,plain,
% 0.94/1.14 (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 0.94/1.14 inference(modus_ponens,[status(thm)],[864, 861])).
% 0.94/1.14 tff(866,plain,
% 0.94/1.14 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) <=> $false),
% 0.94/1.14 inference(iff_false,[status(thm)],[865])).
% 0.94/1.14 tff(867,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | $false)),
% 0.94/1.14 inference(monotonicity,[status(thm)],[866])).
% 0.94/1.14 tff(868,plain,
% 0.94/1.14 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 0.94/1.14 inference(transitivity,[status(thm)],[867, 860])).
% 0.94/1.14 tff(869,plain,
% 0.94/1.14 (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) <=> ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & $false)),
% 0.94/1.14 inference(monotonicity,[status(thm)],[868, 859])).
% 0.94/1.14 tff(870,plain,
% 0.94/1.14 (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) <=> $false),
% 0.94/1.14 inference(transitivity,[status(thm)],[869, 851])).
% 0.94/1.14 tff(871,plain,
% 0.94/1.14 ((((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ($false | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 0.94/1.15 inference(monotonicity,[status(thm)],[870, 850, 819])).
% 0.94/1.15 tff(872,plain,
% 0.94/1.15 ((((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 0.94/1.15 inference(transitivity,[status(thm)],[871, 758])).
% 0.94/1.15 tff(873,plain,
% 0.94/1.15 ((((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(874,plain,
% 1.01/1.15 (((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(875,plain,
% 1.01/1.15 (((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) <=> ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(876,plain,
% 1.01/1.15 (((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(877,plain,
% 1.01/1.15 (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) <=> ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(878,plain,
% 1.01/1.15 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) <=> (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.01/1.16 inference(monotonicity,[status(thm)],[877, 876, 875, 874])).
% 1.01/1.16 tff(879,plain,
% 1.01/1.16 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) <=> (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.01/1.16 inference(transitivity,[status(thm)],[878, 873])).
% 1.01/1.16 tff(880,plain,
% 1.01/1.16 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(881,plain,
% 1.01/1.16 (((((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12)))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(882,plain,
% 1.01/1.16 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & $true) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(883,plain,
% 1.01/1.16 (((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13)) <=> $true),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(884,plain,
% 1.01/1.16 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(885,plain,
% 1.01/1.16 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(886,plain,
% 1.01/1.16 (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12)))),
% 1.01/1.16 inference(monotonicity,[status(thm)],[885])).
% 1.01/1.16 tff(887,plain,
% 1.01/1.16 (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12)))),
% 1.01/1.16 inference(transitivity,[status(thm)],[886, 884])).
% 1.01/1.16 tff(888,plain,
% 1.01/1.16 ((((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & ((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & $true)),
% 1.01/1.16 inference(monotonicity,[status(thm)],[887, 883])).
% 1.01/1.16 tff(889,plain,
% 1.01/1.16 ((((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & ((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12)))),
% 1.01/1.16 inference(transitivity,[status(thm)],[888, 882])).
% 1.01/1.16 tff(890,plain,
% 1.01/1.16 (((((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) <=> (((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(891,plain,
% 1.01/1.17 ((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) <=> ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(892,plain,
% 1.01/1.17 ((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & $true) <=> ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(893,plain,
% 1.01/1.17 (((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12)) <=> $true),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(894,plain,
% 1.01/1.17 ((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) <=> ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(895,plain,
% 1.01/1.17 (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) <=> (((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & $true)),
% 1.01/1.17 inference(monotonicity,[status(thm)],[894, 893])).
% 1.01/1.17 tff(896,plain,
% 1.01/1.17 (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) <=> ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)))),
% 1.01/1.17 inference(transitivity,[status(thm)],[895, 892])).
% 1.01/1.17 tff(897,plain,
% 1.01/1.17 ((((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) <=> (((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[896])).
% 1.01/1.17 tff(898,plain,
% 1.01/1.17 ((((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) <=> ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))),
% 1.01/1.17 inference(transitivity,[status(thm)],[897, 891])).
% 1.01/1.17 tff(899,plain,
% 1.01/1.17 (((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) <=> (((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(900,plain,
% 1.01/1.17 ((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) <=> ((((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[899, 898])).
% 1.01/1.17 tff(901,plain,
% 1.01/1.17 ((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) <=> (((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))))),
% 1.01/1.17 inference(transitivity,[status(thm)],[900, 890])).
% 1.01/1.17 tff(902,plain,
% 1.01/1.17 (((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & ((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13)))) <=> ((((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[901, 889])).
% 1.01/1.17 tff(903,plain,
% 1.01/1.17 (((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & ((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13)))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13))))),
% 1.01/1.17 inference(transitivity,[status(thm)],[902, 881])).
% 1.01/1.17 tff(904,axiom,(((((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) & ((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & ((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax10')).
% 1.01/1.18 tff(905,plain,
% 1.01/1.18 ((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10))) & ((~(op1(e11, e11) = e11)) | (op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11))) & ((~(op1(e12, e12) = e12)) | (op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13)))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) & ((~(op1(e13, e13) = e13)) | (op1(e13, e13) = e13)))),
% 1.01/1.18 inference(and_elim,[status(thm)],[904])).
% 1.01/1.18 tff(906,plain,
% 1.01/1.18 (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[905, 903])).
% 1.01/1.18 tff(907,plain,
% 1.01/1.18 (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[906, 880])).
% 1.01/1.18 tff(908,plain,
% 1.01/1.18 (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[907, 880])).
% 1.01/1.18 tff(909,plain,
% 1.01/1.18 (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (op1(e10, e13) = e10)) & ((~(op1(e11, e11) = e13)) | (op1(e11, e13) = e11)) & ((~(op1(e12, e12) = e13)) | (op1(e12, e13) = e12))) | ((op1(e10, e10) = e10) & ((~(op1(e11, e11) = e10)) | (op1(e11, e10) = e11)) & ((~(op1(e12, e12) = e10)) | (op1(e12, e10) = e12)) & ((~(op1(e13, e13) = e10)) | (op1(e13, e10) = e13))) | ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (op1(e10, e12) = e10)) & ((~(op1(e11, e11) = e12)) | (op1(e11, e12) = e11)) & ((~(op1(e13, e13) = e12)) | (op1(e13, e12) = e13))) | ((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (op1(e10, e11) = e10)) & ((~(op1(e12, e12) = e11)) | (op1(e12, e11) = e12)) & ((~(op1(e13, e13) = e11)) | (op1(e13, e11) = e13)))),
% 1.01/1.18 inference(modus_ponens,[status(thm)],[908, 880])).
% 1.01/1.18 tff(910,plain,
% 1.01/1.18 (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 1.04/1.18 inference(modus_ponens,[status(thm)],[909, 879])).
% 1.04/1.18 tff(911,plain,
% 1.04/1.18 (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) & (op1(e12, op1(e12, e12)) = e12)) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 1.04/1.18 inference(modus_ponens,[status(thm)],[910, 873])).
% 1.04/1.18 tff(912,plain,
% 1.04/1.18 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[911, 872])).
% 1.04/1.19 tff(913,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[912, 757])).
% 1.04/1.19 tff(914,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[913, 757])).
% 1.04/1.19 tff(915,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[914, 757])).
% 1.04/1.19 tff(916,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[915, 757])).
% 1.04/1.19 tff(917,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[916, 757])).
% 1.04/1.19 tff(918,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[917, 757])).
% 1.04/1.19 tff(919,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | ((op1(e12, e12) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[918, 757])).
% 1.04/1.19 tff(920,plain,
% 1.04/1.19 ((~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~((~(op1(e12, e12) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12)))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))))),
% 1.04/1.19 inference(modus_ponens,[status(thm)],[919, 756])).
% 1.04/1.19 tff(921,plain,
% 1.04/1.19 ((~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[920, 750])).
% 1.04/1.19 tff(922,plain,
% 1.04/1.19 (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.04/1.19 inference(unit_resolution,[status(thm)],[921, 739])).
% 1.04/1.19 tff(923,plain,
% 1.04/1.19 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.04/1.19 inference(tautology,[status(thm)],[])).
% 1.04/1.19 tff(924,plain,
% 1.04/1.19 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[923, 922])).
% 1.04/1.20 tff(925,plain,
% 1.04/1.20 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.04/1.20 inference(tautology,[status(thm)],[])).
% 1.04/1.20 tff(926,plain,
% 1.04/1.20 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.04/1.20 inference(unit_resolution,[status(thm)],[925, 922])).
% 1.04/1.20 tff(927,plain,
% 1.04/1.20 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.04/1.20 inference(commutativity,[status(thm)],[])).
% 1.04/1.20 tff(928,plain,
% 1.04/1.20 ((~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.04/1.20 inference(monotonicity,[status(thm)],[927])).
% 1.04/1.20 tff(929,plain,
% 1.04/1.20 ((~(op1(e12, e10) = op1(e12, e11))) <=> (~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, op1(e12, e12))))))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(930,plain,
% 1.04/1.20 ((~(op1(e12, e10) = op1(e12, e11))) <=> (~(op1(e12, e10) = op1(e12, e11)))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(931,plain,
% 1.04/1.20 (~(op1(e12, e10) = op1(e12, e11))),
% 1.04/1.20 inference(and_elim,[status(thm)],[774])).
% 1.04/1.20 tff(932,plain,
% 1.04/1.20 (~(op1(e12, e10) = op1(e12, e11))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[931, 930])).
% 1.04/1.20 tff(933,plain,
% 1.04/1.20 (~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, op1(e12, e12)))))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[932, 929])).
% 1.04/1.20 tff(934,plain,
% 1.04/1.20 (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[933, 928])).
% 1.04/1.20 tff(935,plain,
% 1.04/1.20 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(936,plain,
% 1.04/1.20 (($false | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | $false) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(937,plain,
% 1.04/1.20 ((~(op1(e12, e11) = op1(e12, e12))) <=> (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(938,plain,
% 1.04/1.20 ((~(op1(e12, e11) = op1(e12, e12))) <=> (~(op1(e12, e11) = op1(e12, e12)))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(939,plain,
% 1.04/1.20 (~(op1(e12, e11) = op1(e12, e12))),
% 1.04/1.20 inference(and_elim,[status(thm)],[771])).
% 1.04/1.20 tff(940,plain,
% 1.04/1.20 (~(op1(e12, e11) = op1(e12, e12))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[939, 938])).
% 1.04/1.20 tff(941,plain,
% 1.04/1.20 (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[940, 937])).
% 1.04/1.20 tff(942,plain,
% 1.04/1.20 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) <=> $false),
% 1.04/1.20 inference(iff_false,[status(thm)],[941])).
% 1.04/1.20 tff(943,plain,
% 1.04/1.20 ((~(op1(e12, e11) = op1(e12, e13))) <=> (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(944,plain,
% 1.04/1.20 ((~(op1(e12, e11) = op1(e12, e13))) <=> (~(op1(e12, e11) = op1(e12, e13)))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(945,plain,
% 1.04/1.20 (~(op1(e12, e11) = op1(e12, e13))),
% 1.04/1.20 inference(and_elim,[status(thm)],[770])).
% 1.04/1.20 tff(946,plain,
% 1.04/1.20 (~(op1(e12, e11) = op1(e12, e13))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[945, 944])).
% 1.04/1.20 tff(947,plain,
% 1.04/1.20 (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.04/1.20 inference(modus_ponens,[status(thm)],[946, 943])).
% 1.04/1.20 tff(948,plain,
% 1.04/1.20 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) <=> $false),
% 1.04/1.20 inference(iff_false,[status(thm)],[947])).
% 1.04/1.20 tff(949,plain,
% 1.04/1.20 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ($false | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | $false)),
% 1.04/1.20 inference(monotonicity,[status(thm)],[948, 942])).
% 1.04/1.20 tff(950,plain,
% 1.04/1.20 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))),
% 1.04/1.20 inference(transitivity,[status(thm)],[949, 936])).
% 1.04/1.20 tff(951,plain,
% 1.04/1.20 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(952,plain,
% 1.04/1.20 ((op1(e12, e11) = e13) <=> (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(953,plain,
% 1.04/1.20 ((op1(e12, e11) = e12) <=> (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(954,plain,
% 1.04/1.20 ((op1(e12, e11) = e11) <=> (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(955,plain,
% 1.04/1.20 ((op1(e12, e11) = e10) <=> (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(956,plain,
% 1.04/1.20 (((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13)) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.20 inference(monotonicity,[status(thm)],[955, 954, 953, 952])).
% 1.04/1.20 tff(957,plain,
% 1.04/1.20 (((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13)) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.20 inference(transitivity,[status(thm)],[956, 951])).
% 1.04/1.20 tff(958,plain,
% 1.04/1.20 (((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13)) <=> ((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(959,plain,
% 1.04/1.20 ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13)) <=> ((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(960,plain,
% 1.04/1.20 ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) <=> ((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12))),
% 1.04/1.20 inference(rewrite,[status(thm)],[])).
% 1.04/1.20 tff(961,plain,
% 1.04/1.20 (((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13)) <=> (((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))),
% 1.04/1.20 inference(monotonicity,[status(thm)],[960])).
% 1.04/1.20 tff(962,plain,
% 1.04/1.20 (((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13)) <=> ((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13))),
% 1.04/1.20 inference(transitivity,[status(thm)],[961, 959])).
% 1.04/1.20 tff(963,axiom,(((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))) & ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))) & ((((op1(e13, e12) = e10) | (op1(e13, e12) = e11)) | (op1(e13, e12) = e12)) | (op1(e13, e12) = e13))) & ((((op1(e13, e13) = e10) | (op1(e13, e13) = e11)) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax1')).
% 1.04/1.20 tff(964,plain,
% 1.04/1.20 ((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))) & ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))) & ((((op1(e13, e12) = e10) | (op1(e13, e12) = e11)) | (op1(e13, e12) = e12)) | (op1(e13, e12) = e13))),
% 1.04/1.20 inference(and_elim,[status(thm)],[963])).
% 1.04/1.21 tff(965,plain,
% 1.04/1.21 (((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))) & ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))),
% 1.04/1.21 inference(and_elim,[status(thm)],[964])).
% 1.04/1.21 tff(966,plain,
% 1.04/1.21 ((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e10) = e11)) | (op1(e13, e10) = e12)) | (op1(e13, e10) = e13))),
% 1.04/1.21 inference(and_elim,[status(thm)],[965])).
% 1.04/1.21 tff(967,plain,
% 1.04/1.21 (((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))) & ((((op1(e12, e13) = e10) | (op1(e12, e13) = e11)) | (op1(e12, e13) = e12)) | (op1(e12, e13) = e13))),
% 1.04/1.21 inference(and_elim,[status(thm)],[966])).
% 1.04/1.21 tff(968,plain,
% 1.04/1.21 ((((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))) & ((((op1(e12, e12) = e10) | (op1(e12, e12) = e11)) | (op1(e12, e12) = e12)) | (op1(e12, e12) = e13))),
% 1.04/1.21 inference(and_elim,[status(thm)],[967])).
% 1.04/1.21 tff(969,plain,
% 1.04/1.21 (((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))) & ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13))),
% 1.04/1.21 inference(and_elim,[status(thm)],[968])).
% 1.04/1.21 tff(970,plain,
% 1.04/1.21 ((((op1(e12, e11) = e10) | (op1(e12, e11) = e11)) | (op1(e12, e11) = e12)) | (op1(e12, e11) = e13)),
% 1.04/1.21 inference(and_elim,[status(thm)],[969])).
% 1.04/1.21 tff(971,plain,
% 1.04/1.21 ((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[970, 962])).
% 1.04/1.21 tff(972,plain,
% 1.04/1.21 ((op1(e12, e11) = e10) | (op1(e12, e11) = e11) | (op1(e12, e11) = e12) | (op1(e12, e11) = e13)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[971, 958])).
% 1.04/1.21 tff(973,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[972, 957])).
% 1.04/1.21 tff(974,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[973, 951])).
% 1.04/1.21 tff(975,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[974, 951])).
% 1.04/1.21 tff(976,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[975, 950])).
% 1.04/1.21 tff(977,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[976, 935])).
% 1.04/1.21 tff(978,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[977, 935])).
% 1.04/1.21 tff(979,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[978, 935])).
% 1.04/1.21 tff(980,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[979, 935])).
% 1.04/1.21 tff(981,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[980, 935])).
% 1.04/1.21 tff(982,plain,
% 1.04/1.21 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[981, 935])).
% 1.04/1.21 tff(983,plain,
% 1.04/1.21 (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12),
% 1.04/1.21 inference(unit_resolution,[status(thm)],[982, 934])).
% 1.04/1.21 tff(984,plain,
% 1.04/1.21 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(monotonicity,[status(thm)],[983])).
% 1.04/1.21 tff(985,plain,
% 1.04/1.21 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12))),
% 1.04/1.21 inference(monotonicity,[status(thm)],[984])).
% 1.04/1.21 tff(986,plain,
% 1.04/1.21 ((~(op1(e11, e11) = op1(e12, e11))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12))))))),
% 1.04/1.21 inference(rewrite,[status(thm)],[])).
% 1.04/1.21 tff(987,plain,
% 1.04/1.21 ((~(op1(e11, e11) = op1(e12, e11))) <=> (~(op1(e11, e11) = op1(e12, e11)))),
% 1.04/1.21 inference(rewrite,[status(thm)],[])).
% 1.04/1.21 tff(988,plain,
% 1.04/1.21 (~(op1(e11, e11) = op1(e12, e11))),
% 1.04/1.21 inference(and_elim,[status(thm)],[801])).
% 1.04/1.21 tff(989,plain,
% 1.04/1.21 (~(op1(e11, e11) = op1(e12, e11))),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[988, 987])).
% 1.04/1.21 tff(990,plain,
% 1.04/1.21 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12)))))),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[989, 986])).
% 1.04/1.21 tff(991,plain,
% 1.04/1.21 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.21 inference(modus_ponens,[status(thm)],[990, 985])).
% 1.04/1.21 tff(992,plain,
% 1.04/1.21 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.21 inference(rewrite,[status(thm)],[])).
% 1.04/1.21 tff(993,plain,
% 1.04/1.21 ((op1(e11, e11) = e13) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.21 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(994,plain,
% 1.04/1.22 ((op1(e11, e11) = e12) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(995,plain,
% 1.04/1.22 ((op1(e11, e11) = e11) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(996,plain,
% 1.04/1.22 ((op1(e11, e11) = e10) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(997,plain,
% 1.04/1.22 (((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.22 inference(monotonicity,[status(thm)],[996, 995, 994, 993])).
% 1.04/1.22 tff(998,plain,
% 1.04/1.22 (((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.04/1.22 inference(transitivity,[status(thm)],[997, 992])).
% 1.04/1.22 tff(999,plain,
% 1.04/1.22 (((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13)) <=> ((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1000,plain,
% 1.04/1.22 ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13)) <=> ((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1001,plain,
% 1.04/1.22 ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) <=> ((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1002,plain,
% 1.04/1.22 (((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13)) <=> (((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))),
% 1.04/1.22 inference(monotonicity,[status(thm)],[1001])).
% 1.04/1.22 tff(1003,plain,
% 1.04/1.22 (((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13)) <=> ((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13))),
% 1.04/1.22 inference(transitivity,[status(thm)],[1002, 1000])).
% 1.04/1.22 tff(1004,plain,
% 1.04/1.22 ((((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e10) = e11)) | (op1(e12, e10) = e12)) | (op1(e12, e10) = e13))),
% 1.04/1.22 inference(and_elim,[status(thm)],[969])).
% 1.04/1.22 tff(1005,plain,
% 1.04/1.22 (((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))) & ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))),
% 1.04/1.22 inference(and_elim,[status(thm)],[1004])).
% 1.04/1.22 tff(1006,plain,
% 1.04/1.22 ((((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))) & ((((op1(e11, e12) = e10) | (op1(e11, e12) = e11)) | (op1(e11, e12) = e12)) | (op1(e11, e12) = e13))),
% 1.04/1.22 inference(and_elim,[status(thm)],[1005])).
% 1.04/1.22 tff(1007,plain,
% 1.04/1.22 (((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))) & ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13))),
% 1.04/1.22 inference(and_elim,[status(thm)],[1006])).
% 1.04/1.22 tff(1008,plain,
% 1.04/1.22 ((((op1(e11, e11) = e10) | (op1(e11, e11) = e11)) | (op1(e11, e11) = e12)) | (op1(e11, e11) = e13)),
% 1.04/1.22 inference(and_elim,[status(thm)],[1007])).
% 1.04/1.22 tff(1009,plain,
% 1.04/1.22 ((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13)),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1008, 1003])).
% 1.04/1.22 tff(1010,plain,
% 1.04/1.22 ((op1(e11, e11) = e10) | (op1(e11, e11) = e11) | (op1(e11, e11) = e12) | (op1(e11, e11) = e13)),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1009, 999])).
% 1.04/1.22 tff(1011,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1010, 998])).
% 1.04/1.22 tff(1012,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1011, 992])).
% 1.04/1.22 tff(1013,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1012, 992])).
% 1.04/1.22 tff(1014,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1013, 992])).
% 1.04/1.22 tff(1015,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1014, 992])).
% 1.04/1.22 tff(1016,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1015, 992])).
% 1.04/1.22 tff(1017,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1016, 992])).
% 1.04/1.22 tff(1018,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1017, 992])).
% 1.04/1.22 tff(1019,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1018, 992])).
% 1.04/1.22 tff(1020,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1019, 992])).
% 1.04/1.22 tff(1021,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.04/1.22 inference(unit_resolution,[status(thm)],[1020, 991])).
% 1.04/1.22 tff(1022,plain,
% 1.04/1.22 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)),
% 1.04/1.22 inference(unit_resolution,[status(thm)],[1021, 926, 737])).
% 1.04/1.22 tff(1023,plain,
% 1.04/1.22 ((op1(e12, op1(e12, e12)) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.04/1.22 inference(commutativity,[status(thm)],[])).
% 1.04/1.22 tff(1024,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, e12)) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(monotonicity,[status(thm)],[924])).
% 1.04/1.22 tff(1025,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.04/1.22 inference(transitivity,[status(thm)],[1024, 1023])).
% 1.04/1.22 tff(1026,plain,
% 1.04/1.22 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(monotonicity,[status(thm)],[1025])).
% 1.04/1.22 tff(1027,plain,
% 1.04/1.22 ((~(op1(e10, e10) = op1(e11, e10))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1028,plain,
% 1.04/1.22 ((~(op1(e10, e10) = op1(e11, e10))) <=> (~(op1(e10, e10) = op1(e11, e10)))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1029,plain,
% 1.04/1.22 (~(op1(e10, e10) = op1(e11, e10))),
% 1.04/1.22 inference(and_elim,[status(thm)],[809])).
% 1.04/1.22 tff(1030,plain,
% 1.04/1.22 (~(op1(e10, e10) = op1(e11, e10))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.04/1.22 tff(1031,plain,
% 1.04/1.22 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1030, 1027])).
% 1.04/1.22 tff(1032,plain,
% 1.04/1.22 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1031, 1026])).
% 1.04/1.22 tff(1033,plain,
% 1.04/1.22 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1034,plain,
% 1.04/1.22 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | $false) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1035,plain,
% 1.04/1.22 ((~(op1(e11, e13) = op1(e12, e13))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1036,plain,
% 1.04/1.22 ((~(op1(e11, e13) = op1(e12, e13))) <=> (~(op1(e11, e13) = op1(e12, e13)))),
% 1.04/1.22 inference(rewrite,[status(thm)],[])).
% 1.04/1.22 tff(1037,plain,
% 1.04/1.22 (~(op1(e11, e13) = op1(e12, e13))),
% 1.04/1.22 inference(and_elim,[status(thm)],[789])).
% 1.04/1.22 tff(1038,plain,
% 1.04/1.22 (~(op1(e11, e13) = op1(e12, e13))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 1.04/1.22 tff(1039,plain,
% 1.04/1.22 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.04/1.22 inference(modus_ponens,[status(thm)],[1038, 1035])).
% 1.04/1.22 tff(1040,plain,
% 1.04/1.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) <=> $false),
% 1.04/1.22 inference(iff_false,[status(thm)],[1039])).
% 1.08/1.23 tff(1041,plain,
% 1.08/1.23 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | $false)),
% 1.08/1.23 inference(monotonicity,[status(thm)],[1040])).
% 1.08/1.23 tff(1042,plain,
% 1.08/1.23 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))))),
% 1.08/1.23 inference(transitivity,[status(thm)],[1041, 1034])).
% 1.08/1.23 tff(1043,plain,
% 1.08/1.23 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1044,plain,
% 1.08/1.23 ((op1(e11, e13) = e10) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1045,plain,
% 1.08/1.23 ((op1(e11, e12) = e10) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1046,plain,
% 1.08/1.23 ((op1(e11, e10) = e10) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1047,plain,
% 1.08/1.23 (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.08/1.23 inference(monotonicity,[status(thm)],[1046, 996, 1045, 1044])).
% 1.08/1.23 tff(1048,plain,
% 1.08/1.23 (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.08/1.23 inference(transitivity,[status(thm)],[1047, 1043])).
% 1.08/1.23 tff(1049,plain,
% 1.08/1.23 (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1050,plain,
% 1.08/1.23 ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1051,plain,
% 1.08/1.23 ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10))),
% 1.08/1.23 inference(rewrite,[status(thm)],[])).
% 1.08/1.23 tff(1052,plain,
% 1.08/1.23 (((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)) <=> (((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))),
% 1.08/1.23 inference(monotonicity,[status(thm)],[1051])).
% 1.08/1.23 tff(1053,plain,
% 1.08/1.23 (((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)) <=> ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10))),
% 1.08/1.23 inference(transitivity,[status(thm)],[1052, 1050])).
% 1.08/1.23 tff(1054,axiom,(((((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e13, e10) = e13) | (op1(e13, e11) = e13)) | (op1(e13, e12) = e13)) | (op1(e13, e13) = e13))) & ((((op1(e10, e13) = e13) | (op1(e11, e13) = e13)) | (op1(e12, e13) = e13)) | (op1(e13, e13) = e13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax2')).
% 1.08/1.24 tff(1055,plain,
% 1.08/1.24 ((((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e13, e10) = e13) | (op1(e13, e11) = e13)) | (op1(e13, e12) = e13)) | (op1(e13, e13) = e13))),
% 1.08/1.24 inference(and_elim,[status(thm)],[1054])).
% 1.08/1.24 tff(1056,plain,
% 1.08/1.24 (((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))) & ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))),
% 1.10/1.24 inference(and_elim,[status(thm)],[1055])).
% 1.10/1.24 tff(1057,plain,
% 1.10/1.24 ((((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e13, e10) = e12) | (op1(e13, e11) = e12)) | (op1(e13, e12) = e12)) | (op1(e13, e13) = e12))),
% 1.10/1.24 inference(and_elim,[status(thm)],[1056])).
% 1.10/1.24 tff(1058,plain,
% 1.10/1.24 (((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))) & ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))),
% 1.10/1.25 inference(and_elim,[status(thm)],[1057])).
% 1.10/1.25 tff(1059,plain,
% 1.10/1.25 ((((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))),
% 1.10/1.25 inference(and_elim,[status(thm)],[1058])).
% 1.10/1.25 tff(1060,plain,
% 1.10/1.25 (((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))) & ((((op1(e10, e13) = e10) | (op1(e11, e13) = e10)) | (op1(e12, e13) = e10)) | (op1(e13, e13) = e10))),
% 1.10/1.25 inference(and_elim,[status(thm)],[1059])).
% 1.10/1.25 tff(1061,plain,
% 1.10/1.25 ((((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))) & ((((op1(e13, e10) = e10) | (op1(e13, e11) = e10)) | (op1(e13, e12) = e10)) | (op1(e13, e13) = e10))),
% 1.10/1.25 inference(and_elim,[status(thm)],[1060])).
% 1.10/1.25 tff(1062,plain,
% 1.10/1.25 (((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))) & ((((op1(e10, e12) = e13) | (op1(e11, e12) = e13)) | (op1(e12, e12) = e13)) | (op1(e13, e12) = e13))),
% 1.10/1.25 inference(and_elim,[status(thm)],[1061])).
% 1.10/1.25 tff(1063,plain,
% 1.10/1.25 ((((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))) & ((((op1(e12, e10) = e13) | (op1(e12, e11) = e13)) | (op1(e12, e12) = e13)) | (op1(e12, e13) = e13))),
% 1.10/1.26 inference(and_elim,[status(thm)],[1062])).
% 1.10/1.26 tff(1064,plain,
% 1.10/1.26 (((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))) & ((((op1(e10, e12) = e12) | (op1(e11, e12) = e12)) | (op1(e12, e12) = e12)) | (op1(e13, e12) = e12))),
% 1.10/1.26 inference(and_elim,[status(thm)],[1063])).
% 1.10/1.26 tff(1065,plain,
% 1.10/1.26 ((((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))) & ((((op1(e12, e10) = e12) | (op1(e12, e11) = e12)) | (op1(e12, e12) = e12)) | (op1(e12, e13) = e12))),
% 1.10/1.26 inference(and_elim,[status(thm)],[1064])).
% 1.10/1.26 tff(1066,plain,
% 1.10/1.26 (((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))) & ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))),
% 1.10/1.26 inference(and_elim,[status(thm)],[1065])).
% 1.10/1.26 tff(1067,plain,
% 1.10/1.26 ((((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))) & ((((op1(e12, e10) = e11) | (op1(e12, e11) = e11)) | (op1(e12, e12) = e11)) | (op1(e12, e13) = e11))),
% 1.10/1.26 inference(and_elim,[status(thm)],[1066])).
% 1.10/1.26 tff(1068,plain,
% 1.10/1.26 (((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))) & ((((op1(e10, e12) = e10) | (op1(e11, e12) = e10)) | (op1(e12, e12) = e10)) | (op1(e13, e12) = e10))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1067])).
% 1.10/1.27 tff(1069,plain,
% 1.10/1.27 ((((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))) & ((((op1(e12, e10) = e10) | (op1(e12, e11) = e10)) | (op1(e12, e12) = e10)) | (op1(e12, e13) = e10))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1068])).
% 1.10/1.27 tff(1070,plain,
% 1.10/1.27 (((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))) & ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1069])).
% 1.10/1.27 tff(1071,plain,
% 1.10/1.27 ((((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))) & ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1070])).
% 1.10/1.27 tff(1072,plain,
% 1.10/1.27 (((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))) & ((((op1(e10, e11) = e12) | (op1(e11, e11) = e12)) | (op1(e12, e11) = e12)) | (op1(e13, e11) = e12))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1071])).
% 1.10/1.27 tff(1073,plain,
% 1.10/1.27 ((((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))) & ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1072])).
% 1.10/1.27 tff(1074,plain,
% 1.10/1.27 (((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))) & ((((op1(e10, e11) = e11) | (op1(e11, e11) = e11)) | (op1(e12, e11) = e11)) | (op1(e13, e11) = e11))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1073])).
% 1.10/1.27 tff(1075,plain,
% 1.10/1.27 ((((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))) & ((((op1(e11, e10) = e11) | (op1(e11, e11) = e11)) | (op1(e11, e12) = e11)) | (op1(e11, e13) = e11))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1074])).
% 1.10/1.27 tff(1076,plain,
% 1.10/1.27 (((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))) & ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))),
% 1.10/1.27 inference(and_elim,[status(thm)],[1075])).
% 1.10/1.27 tff(1077,plain,
% 1.10/1.27 ((((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10))),
% 1.10/1.28 inference(and_elim,[status(thm)],[1076])).
% 1.10/1.28 tff(1078,plain,
% 1.10/1.28 ((((op1(e11, e10) = e10) | (op1(e11, e11) = e10)) | (op1(e11, e12) = e10)) | (op1(e11, e13) = e10)),
% 1.10/1.28 inference(and_elim,[status(thm)],[1077])).
% 1.10/1.28 tff(1079,plain,
% 1.10/1.28 ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1078, 1053])).
% 1.10/1.28 tff(1080,plain,
% 1.10/1.28 ((op1(e11, e10) = e10) | (op1(e11, e11) = e10) | (op1(e11, e12) = e10) | (op1(e11, e13) = e10)),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1079, 1049])).
% 1.10/1.28 tff(1081,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1080, 1048])).
% 1.10/1.28 tff(1082,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1081, 1043])).
% 1.10/1.28 tff(1083,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1082, 1043])).
% 1.10/1.28 tff(1084,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1083, 1042])).
% 1.10/1.28 tff(1085,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1084, 1033])).
% 1.10/1.28 tff(1086,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1085, 1033])).
% 1.10/1.28 tff(1087,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1086, 1033])).
% 1.10/1.28 tff(1088,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1087, 1033])).
% 1.10/1.28 tff(1089,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1088, 1033])).
% 1.10/1.28 tff(1090,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1089, 1033])).
% 1.10/1.28 tff(1091,plain,
% 1.10/1.28 (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[1090, 1032, 926])).
% 1.10/1.28 tff(1092,plain,
% 1.10/1.28 ((op1(e12, op1(e12, e12)) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(commutativity,[status(thm)],[])).
% 1.10/1.28 tff(1093,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(e12, op1(e12, e12)) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.10/1.28 inference(monotonicity,[status(thm)],[924])).
% 1.10/1.28 tff(1094,plain,
% 1.10/1.28 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(transitivity,[status(thm)],[1093, 1092])).
% 1.10/1.28 tff(1095,plain,
% 1.10/1.28 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(monotonicity,[status(thm)],[1094])).
% 1.10/1.28 tff(1096,plain,
% 1.10/1.28 ((~(op1(e10, e10) = op1(e10, e11))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1097,plain,
% 1.10/1.28 ((~(op1(e10, e10) = op1(e10, e11))) <=> (~(op1(e10, e10) = op1(e10, e11)))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1098,plain,
% 1.10/1.28 (~(op1(e10, e10) = op1(e10, e11))),
% 1.10/1.28 inference(and_elim,[status(thm)],[786])).
% 1.10/1.28 tff(1099,plain,
% 1.10/1.28 (~(op1(e10, e10) = op1(e10, e11))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 1.10/1.28 tff(1100,plain,
% 1.10/1.28 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1099, 1096])).
% 1.10/1.28 tff(1101,plain,
% 1.10/1.28 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[1100, 1095])).
% 1.10/1.28 tff(1102,plain,
% 1.10/1.28 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1103,plain,
% 1.10/1.28 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1104,plain,
% 1.10/1.28 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(monotonicity,[status(thm)],[948])).
% 1.10/1.28 tff(1105,plain,
% 1.10/1.28 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(transitivity,[status(thm)],[1104, 1103])).
% 1.10/1.28 tff(1106,plain,
% 1.10/1.28 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1107,plain,
% 1.10/1.28 ((op1(e13, e11) = e10) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1108,plain,
% 1.10/1.28 ((op1(e10, e11) = e10) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1109,plain,
% 1.10/1.28 (((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(monotonicity,[status(thm)],[1108, 996, 955, 1107])).
% 1.10/1.28 tff(1110,plain,
% 1.10/1.28 (((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.10/1.28 inference(transitivity,[status(thm)],[1109, 1106])).
% 1.10/1.28 tff(1111,plain,
% 1.10/1.28 (((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10)) <=> ((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(1112,plain,
% 1.10/1.28 ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10)) <=> ((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1113,plain,
% 1.10/1.29 ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) <=> ((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1114,plain,
% 1.10/1.29 (((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10)) <=> (((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10))),
% 1.10/1.29 inference(monotonicity,[status(thm)],[1113])).
% 1.10/1.29 tff(1115,plain,
% 1.10/1.29 (((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10)) <=> ((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10))),
% 1.10/1.29 inference(transitivity,[status(thm)],[1114, 1112])).
% 1.10/1.29 tff(1116,plain,
% 1.10/1.29 ((((op1(e10, e11) = e10) | (op1(e11, e11) = e10)) | (op1(e12, e11) = e10)) | (op1(e13, e11) = e10)),
% 1.10/1.29 inference(and_elim,[status(thm)],[1076])).
% 1.10/1.29 tff(1117,plain,
% 1.10/1.29 ((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10)),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 1.10/1.29 tff(1118,plain,
% 1.10/1.29 ((op1(e10, e11) = e10) | (op1(e11, e11) = e10) | (op1(e12, e11) = e10) | (op1(e13, e11) = e10)),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1117, 1111])).
% 1.10/1.29 tff(1119,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1118, 1110])).
% 1.10/1.29 tff(1120,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1119, 1106])).
% 1.10/1.29 tff(1121,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1120, 1106])).
% 1.10/1.29 tff(1122,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1121, 1105])).
% 1.10/1.29 tff(1123,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1122, 1102])).
% 1.10/1.29 tff(1124,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1123, 1102])).
% 1.10/1.29 tff(1125,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1124, 1102])).
% 1.10/1.29 tff(1126,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1125, 1102])).
% 1.10/1.29 tff(1127,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1126, 1102])).
% 1.10/1.29 tff(1128,plain,
% 1.10/1.29 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1127, 1102])).
% 1.10/1.29 tff(1129,plain,
% 1.10/1.29 (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[1128, 1101, 926])).
% 1.10/1.29 tff(1130,assumption,(~(op2(h1(e12), h2(e12)) = h1(e12))), introduced(assumption)).
% 1.10/1.29 tff(1131,plain,
% 1.10/1.29 ((op2(h1(e12), h2(e12)) = op2(h2(e12), h2(e12))) <=> (op2(h1(e12), h2(e12)) = h2(e12))),
% 1.10/1.29 inference(monotonicity,[status(thm)],[3])).
% 1.10/1.29 tff(1132,plain,
% 1.10/1.29 ((~(op2(h1(e12), h2(e12)) = op2(h2(e12), h2(e12)))) <=> (~(op2(h1(e12), h2(e12)) = h2(e12)))),
% 1.10/1.29 inference(monotonicity,[status(thm)],[1131])).
% 1.10/1.29 tff(1133,plain,
% 1.10/1.29 ((~(op2(h1(e12), h2(e12)) = h2(op1(e12, e12)))) <=> (~(op2(h1(e12), h2(e12)) = op2(h2(e12), h2(e12))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1134,plain,
% 1.10/1.29 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(op2(h1(e12), h2(e12)) = h2(op1(e12, e12))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1135,plain,
% 1.10/1.29 ((~(op2(e20, e21) = op2(e21, e21))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1136,plain,
% 1.10/1.29 ((~(op2(e20, e21) = op2(e21, e21))) <=> (~(op2(e20, e21) = op2(e21, e21)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1137,plain,
% 1.10/1.29 (~(op2(e20, e21) = op2(e21, e21))),
% 1.10/1.29 inference(and_elim,[status(thm)],[169])).
% 1.10/1.29 tff(1138,plain,
% 1.10/1.29 (~(op2(e20, e21) = op2(e21, e21))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 1.10/1.29 tff(1139,plain,
% 1.10/1.29 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1138, 1135])).
% 1.10/1.29 tff(1140,plain,
% 1.10/1.29 (~(op2(h1(e12), h2(e12)) = h2(op1(e12, e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1139, 1134])).
% 1.10/1.29 tff(1141,plain,
% 1.10/1.29 (~(op2(h1(e12), h2(e12)) = op2(h2(e12), h2(e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1140, 1133])).
% 1.10/1.29 tff(1142,plain,
% 1.10/1.29 (~(op2(h1(e12), h2(e12)) = h2(e12))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1141, 1132])).
% 1.10/1.29 tff(1143,plain,
% 1.10/1.29 ((h2(e12) = op2(h3(e12), h2(e12))) <=> (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.29 inference(commutativity,[status(thm)],[])).
% 1.10/1.29 tff(1144,plain,
% 1.10/1.29 ((~(h2(e12) = op2(h3(e12), h2(e12)))) <=> (~(op2(h3(e12), h2(e12)) = h2(e12)))),
% 1.10/1.29 inference(monotonicity,[status(thm)],[1143])).
% 1.10/1.29 tff(1145,plain,
% 1.10/1.29 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(h2(e12) = op2(h3(e12), h2(e12))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1146,plain,
% 1.10/1.29 ((~(op2(e22, e20) = op2(e22, e21))) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1147,plain,
% 1.10/1.29 ((~(op2(e22, e20) = op2(e22, e21))) <=> (~(op2(e22, e20) = op2(e22, e21)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1148,plain,
% 1.10/1.29 (~(op2(e22, e20) = op2(e22, e21))),
% 1.10/1.29 inference(and_elim,[status(thm)],[22])).
% 1.10/1.29 tff(1149,plain,
% 1.10/1.29 (~(op2(e22, e20) = op2(e22, e21))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 1.10/1.29 tff(1150,plain,
% 1.10/1.29 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1149, 1146])).
% 1.10/1.29 tff(1151,plain,
% 1.10/1.29 (~(h2(e12) = op2(h3(e12), h2(e12)))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1150, 1145])).
% 1.10/1.29 tff(1152,plain,
% 1.10/1.29 (~(op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1151, 1144])).
% 1.10/1.29 tff(1153,plain,
% 1.10/1.29 (((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))) <=> ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1154,plain,
% 1.10/1.29 (($false | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h3(e12)) | $false) <=> ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1155,plain,
% 1.10/1.29 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h3(e12), h2(e12)) = h1(e12)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1156,plain,
% 1.10/1.29 ((~(op2(e22, e21) = op2(e22, e23))) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1157,plain,
% 1.10/1.29 ((~(op2(e22, e21) = op2(e22, e23))) <=> (~(op2(e22, e21) = op2(e22, e23)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1158,plain,
% 1.10/1.29 (~(op2(e22, e21) = op2(e22, e23))),
% 1.10/1.29 inference(and_elim,[status(thm)],[18])).
% 1.10/1.29 tff(1159,plain,
% 1.10/1.29 (~(op2(e22, e21) = op2(e22, e23))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 1.10/1.29 tff(1160,plain,
% 1.10/1.29 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1159, 1156])).
% 1.10/1.29 tff(1161,plain,
% 1.10/1.29 (~(op2(h3(e12), h2(e12)) = h1(e12))),
% 1.10/1.29 inference(modus_ponens,[status(thm)],[1160, 1155])).
% 1.10/1.29 tff(1162,plain,
% 1.10/1.29 ((op2(h3(e12), h2(e12)) = h1(e12)) <=> $false),
% 1.10/1.29 inference(iff_false,[status(thm)],[1161])).
% 1.10/1.29 tff(1163,plain,
% 1.10/1.29 (((op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h4(e12))) <=> ($false | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h3(e12)) | $false)),
% 1.10/1.29 inference(monotonicity,[status(thm)],[1162, 549])).
% 1.10/1.29 tff(1164,plain,
% 1.10/1.29 (((op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h4(e12))) <=> ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)))),
% 1.10/1.29 inference(transitivity,[status(thm)],[1163, 1154])).
% 1.10/1.29 tff(1165,plain,
% 1.10/1.29 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h4(e12)))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1166,plain,
% 1.10/1.29 (((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1167,plain,
% 1.10/1.29 ((op2(e22, e21) = e22) <=> (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1168,plain,
% 1.10/1.29 ((op2(e22, e21) = e21) <=> (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1169,plain,
% 1.10/1.29 ((op2(e22, e21) = e20) <=> (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1170,plain,
% 1.10/1.29 (((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23)) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 1.10/1.29 inference(monotonicity,[status(thm)],[1169, 1168, 1167, 562])).
% 1.10/1.29 tff(1171,plain,
% 1.10/1.29 (((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23)) <=> ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 1.10/1.29 inference(transitivity,[status(thm)],[1170, 1166])).
% 1.10/1.29 tff(1172,plain,
% 1.10/1.29 (((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23)) <=> ((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1173,plain,
% 1.10/1.29 ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23)) <=> ((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1174,plain,
% 1.10/1.29 ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) <=> ((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22))),
% 1.10/1.29 inference(rewrite,[status(thm)],[])).
% 1.10/1.29 tff(1175,plain,
% 1.10/1.29 (((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23)) <=> (((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))),
% 1.10/1.29 inference(monotonicity,[status(thm)],[1174])).
% 1.10/1.29 tff(1176,plain,
% 1.10/1.29 (((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23)) <=> ((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23))),
% 1.10/1.29 inference(transitivity,[status(thm)],[1175, 1173])).
% 1.10/1.29 tff(1177,axiom,(((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))) & ((((op2(e23, e21) = e20) | (op2(e23, e21) = e21)) | (op2(e23, e21) = e22)) | (op2(e23, e21) = e23))) & ((((op2(e23, e22) = e20) | (op2(e23, e22) = e21)) | (op2(e23, e22) = e22)) | (op2(e23, e22) = e23))) & ((((op2(e23, e23) = e20) | (op2(e23, e23) = e21)) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax3')).
% 1.10/1.30 tff(1178,plain,
% 1.10/1.30 ((((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))) & ((((op2(e23, e21) = e20) | (op2(e23, e21) = e21)) | (op2(e23, e21) = e22)) | (op2(e23, e21) = e23))) & ((((op2(e23, e22) = e20) | (op2(e23, e22) = e21)) | (op2(e23, e22) = e22)) | (op2(e23, e22) = e23))),
% 1.10/1.30 inference(and_elim,[status(thm)],[1177])).
% 1.10/1.30 tff(1179,plain,
% 1.10/1.30 (((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))) & ((((op2(e23, e21) = e20) | (op2(e23, e21) = e21)) | (op2(e23, e21) = e22)) | (op2(e23, e21) = e23))),
% 1.10/1.30 inference(and_elim,[status(thm)],[1178])).
% 1.10/1.30 tff(1180,plain,
% 1.10/1.30 ((((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))) & ((((op2(e23, e20) = e20) | (op2(e23, e20) = e21)) | (op2(e23, e20) = e22)) | (op2(e23, e20) = e23))),
% 1.10/1.30 inference(and_elim,[status(thm)],[1179])).
% 1.10/1.30 tff(1181,plain,
% 1.10/1.30 (((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))) & ((((op2(e22, e23) = e20) | (op2(e22, e23) = e21)) | (op2(e22, e23) = e22)) | (op2(e22, e23) = e23))),
% 1.10/1.30 inference(and_elim,[status(thm)],[1180])).
% 1.10/1.30 tff(1182,plain,
% 1.10/1.30 ((((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))) & ((((op2(e22, e22) = e20) | (op2(e22, e22) = e21)) | (op2(e22, e22) = e22)) | (op2(e22, e22) = e23))),
% 1.10/1.30 inference(and_elim,[status(thm)],[1181])).
% 1.10/1.30 tff(1183,plain,
% 1.10/1.30 (((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))) & ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23))),
% 1.10/1.30 inference(and_elim,[status(thm)],[1182])).
% 1.10/1.30 tff(1184,plain,
% 1.10/1.30 ((((op2(e22, e21) = e20) | (op2(e22, e21) = e21)) | (op2(e22, e21) = e22)) | (op2(e22, e21) = e23)),
% 1.10/1.30 inference(and_elim,[status(thm)],[1183])).
% 1.10/1.30 tff(1185,plain,
% 1.10/1.30 ((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1184, 1176])).
% 1.10/1.30 tff(1186,plain,
% 1.10/1.30 ((op2(e22, e21) = e20) | (op2(e22, e21) = e21) | (op2(e22, e21) = e22) | (op2(e22, e21) = e23)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1185, 1172])).
% 1.10/1.30 tff(1187,plain,
% 1.10/1.30 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1186, 1171])).
% 1.10/1.30 tff(1188,plain,
% 1.10/1.30 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1187, 1166])).
% 1.10/1.30 tff(1189,plain,
% 1.10/1.30 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1188, 1166])).
% 1.10/1.30 tff(1190,plain,
% 1.10/1.30 ((op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h2(e12)) | (op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h4(e12))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1189, 1165])).
% 1.10/1.30 tff(1191,plain,
% 1.10/1.30 ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1190, 1164])).
% 1.10/1.30 tff(1192,plain,
% 1.10/1.30 ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1191, 1153])).
% 1.10/1.30 tff(1193,plain,
% 1.10/1.30 ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1192, 1153])).
% 1.10/1.30 tff(1194,plain,
% 1.10/1.30 ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1193, 1153])).
% 1.10/1.31 tff(1195,plain,
% 1.10/1.31 ((op2(h3(e12), h2(e12)) = h3(e12)) | (op2(h3(e12), h2(e12)) = h2(e12))),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[1194, 1153])).
% 1.10/1.31 tff(1196,plain,
% 1.10/1.31 (op2(h3(e12), h2(e12)) = h3(e12)),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[1195, 1152])).
% 1.10/1.31 tff(1197,plain,
% 1.10/1.31 ((op2(h1(e12), h2(e12)) = op2(h3(e12), h2(e12))) <=> (op2(h1(e12), h2(e12)) = h3(e12))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[1196])).
% 1.10/1.31 tff(1198,plain,
% 1.10/1.31 ((~(op2(h1(e12), h2(e12)) = op2(h3(e12), h2(e12)))) <=> (~(op2(h1(e12), h2(e12)) = h3(e12)))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[1197])).
% 1.10/1.31 tff(1199,plain,
% 1.10/1.31 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(op2(h1(e12), h2(e12)) = op2(h3(e12), h2(e12))))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(1200,plain,
% 1.10/1.31 ((~(op2(e20, e21) = op2(e22, e21))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(1201,plain,
% 1.10/1.31 ((~(op2(e20, e21) = op2(e22, e21))) <=> (~(op2(e20, e21) = op2(e22, e21)))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(1202,plain,
% 1.10/1.31 (~(op2(e20, e21) = op2(e22, e21))),
% 1.10/1.31 inference(and_elim,[status(thm)],[168])).
% 1.10/1.31 tff(1203,plain,
% 1.10/1.31 (~(op2(e20, e21) = op2(e22, e21))),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 1.10/1.31 tff(1204,plain,
% 1.10/1.31 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[1203, 1200])).
% 1.10/1.31 tff(1205,plain,
% 1.10/1.31 (~(op2(h1(e12), h2(e12)) = op2(h3(e12), h2(e12)))),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[1204, 1199])).
% 1.10/1.31 tff(1206,plain,
% 1.10/1.31 (~(op2(h1(e12), h2(e12)) = h3(e12))),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[1205, 1198])).
% 1.10/1.31 tff(1207,plain,
% 1.10/1.31 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(1208,plain,
% 1.10/1.31 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(1209,plain,
% 1.10/1.31 ((op2(e20, e21) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(1210,plain,
% 1.10/1.31 ((op2(e20, e21) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1211,plain,
% 1.17/1.31 (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 1.17/1.31 inference(monotonicity,[status(thm)],[695, 1210, 1209, 564])).
% 1.17/1.31 tff(1212,plain,
% 1.17/1.31 (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 1.17/1.31 inference(transitivity,[status(thm)],[1211, 1208])).
% 1.17/1.31 tff(1213,plain,
% 1.17/1.31 (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1214,plain,
% 1.17/1.31 ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1215,plain,
% 1.17/1.31 ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1216,plain,
% 1.17/1.31 (((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)) <=> (((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))),
% 1.17/1.31 inference(monotonicity,[status(thm)],[1215])).
% 1.17/1.31 tff(1217,plain,
% 1.17/1.31 (((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)) <=> ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23))),
% 1.17/1.31 inference(transitivity,[status(thm)],[1216, 1214])).
% 1.17/1.31 tff(1218,plain,
% 1.17/1.31 ((((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))) & ((((op2(e22, e20) = e20) | (op2(e22, e20) = e21)) | (op2(e22, e20) = e22)) | (op2(e22, e20) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1183])).
% 1.17/1.31 tff(1219,plain,
% 1.17/1.31 (((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))) & ((((op2(e21, e23) = e20) | (op2(e21, e23) = e21)) | (op2(e21, e23) = e22)) | (op2(e21, e23) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1218])).
% 1.17/1.31 tff(1220,plain,
% 1.17/1.31 ((((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))) & ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1219])).
% 1.17/1.31 tff(1221,plain,
% 1.17/1.31 (((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))) & ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1220])).
% 1.17/1.31 tff(1222,plain,
% 1.17/1.31 ((((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))) & ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1221])).
% 1.17/1.31 tff(1223,plain,
% 1.17/1.31 (((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))) & ((((op2(e20, e23) = e20) | (op2(e20, e23) = e21)) | (op2(e20, e23) = e22)) | (op2(e20, e23) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1222])).
% 1.17/1.31 tff(1224,plain,
% 1.17/1.31 ((((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))) & ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1223])).
% 1.17/1.31 tff(1225,plain,
% 1.17/1.31 (((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) & ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23))),
% 1.17/1.31 inference(and_elim,[status(thm)],[1224])).
% 1.17/1.31 tff(1226,plain,
% 1.17/1.31 ((((op2(e20, e21) = e20) | (op2(e20, e21) = e21)) | (op2(e20, e21) = e22)) | (op2(e20, e21) = e23)),
% 1.17/1.31 inference(and_elim,[status(thm)],[1225])).
% 1.17/1.31 tff(1227,plain,
% 1.17/1.31 ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1226, 1217])).
% 1.17/1.31 tff(1228,plain,
% 1.17/1.31 ((op2(e20, e21) = e20) | (op2(e20, e21) = e21) | (op2(e20, e21) = e22) | (op2(e20, e21) = e23)),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1227, 1213])).
% 1.17/1.31 tff(1229,plain,
% 1.17/1.31 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1228, 1212])).
% 1.17/1.31 tff(1230,plain,
% 1.17/1.31 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1229, 1208])).
% 1.17/1.31 tff(1231,plain,
% 1.17/1.31 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1230, 1208])).
% 1.17/1.31 tff(1232,plain,
% 1.17/1.31 ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h3(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1231, 1207])).
% 1.17/1.31 tff(1233,plain,
% 1.17/1.31 ((op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 1.17/1.31 inference(unit_resolution,[status(thm)],[1232, 1206])).
% 1.17/1.31 tff(1234,plain,
% 1.17/1.31 (op2(h1(e12), h2(e12)) = h4(e12)),
% 1.17/1.31 inference(unit_resolution,[status(thm)],[1233, 1130, 1142])).
% 1.17/1.31 tff(1235,plain,
% 1.17/1.31 ((h1(op1(e12, e12)) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1236,plain,
% 1.17/1.31 ((h1(e13) = op2(e20, e20)) <=> (h1(op1(e12, e12)) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1237,plain,
% 1.17/1.31 ((h1(e13) = op2(e20, e20)) <=> (h1(e13) = op2(e20, e20))),
% 1.17/1.31 inference(rewrite,[status(thm)],[])).
% 1.17/1.31 tff(1238,axiom,((((h1(e12) = e20) & (h1(e10) = op2(e20, op2(e20, e20)))) & (h1(e11) = op2(e20, op2(e20, op2(e20, e20))))) & (h1(e13) = op2(e20, e20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax14')).
% 1.17/1.31 tff(1239,plain,
% 1.17/1.31 (h1(e13) = op2(e20, e20)),
% 1.17/1.31 inference(and_elim,[status(thm)],[1238])).
% 1.17/1.31 tff(1240,plain,
% 1.17/1.31 (h1(e13) = op2(e20, e20)),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1239, 1237])).
% 1.17/1.31 tff(1241,plain,
% 1.17/1.31 (h1(op1(e12, e12)) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1240, 1236])).
% 1.17/1.31 tff(1242,plain,
% 1.17/1.31 (h1(op1(e12, e12)) = op2(h1(e12), h1(e12))),
% 1.17/1.31 inference(modus_ponens,[status(thm)],[1241, 1235])).
% 1.17/1.31 tff(1243,plain,
% 1.17/1.31 (op2(h1(e12), h1(e12)) = h1(op1(e12, e12))),
% 1.17/1.31 inference(symmetry,[status(thm)],[1242])).
% 1.17/1.31 tff(1244,plain,
% 1.17/1.31 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12))) <=> (h1(op1(e12, e12)) = h4(e12))),
% 1.17/1.31 inference(monotonicity,[status(thm)],[1243, 1234])).
% 1.17/1.31 tff(1245,plain,
% 1.17/1.31 ((~(op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12)))) <=> (~(h1(op1(e12, e12)) = h4(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1244])).
% 1.17/1.32 tff(1246,plain,
% 1.17/1.32 ((~(h1(op1(e12, e12)) = op2(h1(e12), h2(e12)))) <=> (~(op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1247,plain,
% 1.17/1.32 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(h1(op1(e12, e12)) = op2(h1(e12), h2(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1248,plain,
% 1.17/1.32 ((~(op2(e20, e20) = op2(e20, e21))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1249,plain,
% 1.17/1.32 ((~(op2(e20, e20) = op2(e20, e21))) <=> (~(op2(e20, e20) = op2(e20, e21)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1250,plain,
% 1.17/1.32 (~(op2(e20, e20) = op2(e20, e21))),
% 1.17/1.32 inference(and_elim,[status(thm)],[81])).
% 1.17/1.32 tff(1251,plain,
% 1.17/1.32 (~(op2(e20, e20) = op2(e20, e21))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 1.17/1.32 tff(1252,plain,
% 1.17/1.32 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1251, 1248])).
% 1.17/1.32 tff(1253,plain,
% 1.17/1.32 (~(h1(op1(e12, e12)) = op2(h1(e12), h2(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1252, 1247])).
% 1.17/1.32 tff(1254,plain,
% 1.17/1.32 (~(op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12)))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1253, 1246])).
% 1.17/1.32 tff(1255,plain,
% 1.17/1.32 (~(h1(op1(e12, e12)) = h4(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1254, 1245])).
% 1.17/1.32 tff(1256,plain,
% 1.17/1.32 ((h2(op1(e12, e12)) = h1(e12)) <=> (h2(e12) = h1(e12))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[515])).
% 1.17/1.32 tff(1257,plain,
% 1.17/1.32 ((h2(e12) = h1(e12)) <=> (h2(op1(e12, e12)) = h1(e12))),
% 1.17/1.32 inference(symmetry,[status(thm)],[1256])).
% 1.17/1.32 tff(1258,plain,
% 1.17/1.32 ((~(h2(e12) = h1(e12))) <=> (~(h2(op1(e12, e12)) = h1(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1257])).
% 1.17/1.32 tff(1259,plain,
% 1.17/1.32 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(h2(e12) = h1(e12)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1260,plain,
% 1.17/1.32 ((~(op2(e22, e20) = op2(e22, e23))) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1261,plain,
% 1.17/1.32 ((~(op2(e22, e20) = op2(e22, e23))) <=> (~(op2(e22, e20) = op2(e22, e23)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1262,plain,
% 1.17/1.32 (~(op2(e22, e20) = op2(e22, e23))),
% 1.17/1.32 inference(and_elim,[status(thm)],[20])).
% 1.17/1.32 tff(1263,plain,
% 1.17/1.32 (~(op2(e22, e20) = op2(e22, e23))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 1.17/1.32 tff(1264,plain,
% 1.17/1.32 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1263, 1260])).
% 1.17/1.32 tff(1265,plain,
% 1.17/1.32 (~(h2(e12) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1264, 1259])).
% 1.17/1.32 tff(1266,plain,
% 1.17/1.32 (~(h2(op1(e12, e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1265, 1258])).
% 1.17/1.32 tff(1267,plain,
% 1.17/1.32 (((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1268,plain,
% 1.17/1.32 (((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | $false | (op2(h4(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1269,plain,
% 1.17/1.32 (((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | $false | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1162])).
% 1.17/1.32 tff(1270,plain,
% 1.17/1.32 (((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1269, 1268])).
% 1.17/1.32 tff(1271,plain,
% 1.17/1.32 (((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1272,plain,
% 1.17/1.32 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1273,plain,
% 1.17/1.32 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h3(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1274,plain,
% 1.17/1.32 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (h2(op1(e12, e12)) = h1(e12))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1275,plain,
% 1.17/1.32 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h1(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1276,plain,
% 1.17/1.32 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1275, 1274, 1273, 1272])).
% 1.17/1.32 tff(1277,plain,
% 1.17/1.32 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12)))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1276, 1271])).
% 1.17/1.32 tff(1278,plain,
% 1.17/1.32 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1279,plain,
% 1.17/1.32 ((op2(e23, e21) = e20) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1280,plain,
% 1.17/1.32 ((op2(e21, e21) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1281,plain,
% 1.17/1.32 (((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[695, 1280, 1169, 1279])).
% 1.17/1.32 tff(1282,plain,
% 1.17/1.32 (((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1281, 1278])).
% 1.17/1.32 tff(1283,plain,
% 1.17/1.32 (((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20)) <=> ((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1284,plain,
% 1.17/1.32 ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20)) <=> ((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1285,plain,
% 1.17/1.32 ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) <=> ((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20))),
% 1.17/1.32 inference(rewrite,[status(thm)],[])).
% 1.17/1.32 tff(1286,plain,
% 1.17/1.32 (((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20)) <=> (((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1285])).
% 1.17/1.32 tff(1287,plain,
% 1.17/1.32 (((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20)) <=> ((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1286, 1284])).
% 1.17/1.32 tff(1288,plain,
% 1.17/1.32 ((((op2(e20, e21) = e20) | (op2(e21, e21) = e20)) | (op2(e22, e21) = e20)) | (op2(e23, e21) = e20)),
% 1.17/1.32 inference(and_elim,[status(thm)],[704])).
% 1.17/1.32 tff(1289,plain,
% 1.17/1.32 ((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20)),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 1.17/1.32 tff(1290,plain,
% 1.17/1.32 ((op2(e20, e21) = e20) | (op2(e21, e21) = e20) | (op2(e22, e21) = e20) | (op2(e23, e21) = e20)),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1289, 1283])).
% 1.17/1.32 tff(1291,plain,
% 1.17/1.32 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1290, 1282])).
% 1.17/1.32 tff(1292,plain,
% 1.17/1.32 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1291, 1278])).
% 1.17/1.32 tff(1293,plain,
% 1.17/1.32 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1292, 1278])).
% 1.17/1.32 tff(1294,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1293, 1277])).
% 1.17/1.32 tff(1295,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h3(e12), h2(e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1294, 1271])).
% 1.17/1.32 tff(1296,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1295, 1270])).
% 1.17/1.32 tff(1297,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1296, 1267])).
% 1.17/1.32 tff(1298,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1297, 1267])).
% 1.17/1.32 tff(1299,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1298, 1267])).
% 1.17/1.32 tff(1300,plain,
% 1.17/1.32 ((op2(h1(e12), h2(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), h2(e12)) = h1(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[1299, 1267])).
% 1.17/1.32 tff(1301,plain,
% 1.17/1.32 (op2(h4(e12), h2(e12)) = h1(e12)),
% 1.17/1.32 inference(unit_resolution,[status(thm)],[1300, 1130, 1266])).
% 1.17/1.32 tff(1302,plain,
% 1.17/1.32 ((op2(h4(e12), h2(e12)) = h4(e12)) <=> (h1(e12) = h4(e12))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1301])).
% 1.17/1.32 tff(1303,plain,
% 1.17/1.32 ((op2(h4(e12), h2(e12)) = h4(e12)) <=> (h4(e12) = h1(e12))),
% 1.17/1.32 inference(transitivity,[status(thm)],[1302, 531])).
% 1.17/1.32 tff(1304,plain,
% 1.17/1.32 ((h4(e12) = h1(e12)) <=> (op2(h4(e12), h2(e12)) = h4(e12))),
% 1.17/1.32 inference(symmetry,[status(thm)],[1303])).
% 1.17/1.32 tff(1305,plain,
% 1.17/1.32 ((~(h4(e12) = h1(e12))) <=> (~(op2(h4(e12), h2(e12)) = h4(e12)))),
% 1.17/1.32 inference(monotonicity,[status(thm)],[1304])).
% 1.17/1.32 tff(1306,plain,
% 1.17/1.32 (~(op2(h4(e12), h2(e12)) = h4(e12))),
% 1.17/1.32 inference(modus_ponens,[status(thm)],[538, 1305])).
% 1.17/1.32 tff(1307,assumption,(~(h4(op1(e12, e12)) = h3(e12))), introduced(assumption)).
% 1.17/1.32 tff(1308,assumption,(~(op2(h4(e12), h2(e12)) = h4(e12))), introduced(assumption)).
% 1.17/1.32 tff(1309,assumption,(~(op2(h1(e12), h1(e12)) = h1(e12))), introduced(assumption)).
% 1.17/1.32 tff(1310,plain,
% 1.17/1.32 (((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.17/1.32 inference(tautology,[status(thm)],[])).
% 1.17/1.32 tff(1311,plain,
% 1.17/1.32 ((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.17/1.33 inference(unit_resolution,[status(thm)],[1310, 1309])).
% 1.17/1.33 tff(1312,plain,
% 1.17/1.33 ((h3(e12) = h4(e12)) <=> (h4(e12) = h3(e12))),
% 1.17/1.33 inference(commutativity,[status(thm)],[])).
% 1.17/1.33 tff(1313,plain,
% 1.17/1.33 ((~(h3(e12) = h4(e12))) <=> (~(h4(e12) = h3(e12)))),
% 1.17/1.33 inference(monotonicity,[status(thm)],[1312])).
% 1.17/1.33 tff(1314,plain,
% 1.17/1.33 ((~(h3(e12) = op2(h3(e12), h3(e12)))) <=> (~(h3(e12) = h4(e12)))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1315,plain,
% 1.17/1.33 ((~(e22 = e23)) <=> (~(h3(e12) = op2(h3(e12), h3(e12))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1316,plain,
% 1.17/1.33 ((~(e22 = e23)) <=> (~(e22 = e23))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1317,plain,
% 1.17/1.33 (~(e22 = e23)),
% 1.17/1.33 inference(and_elim,[status(thm)],[138])).
% 1.17/1.33 tff(1318,plain,
% 1.17/1.33 (~(e22 = e23)),
% 1.17/1.33 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 1.17/1.33 tff(1319,plain,
% 1.17/1.33 (~(h3(e12) = op2(h3(e12), h3(e12)))),
% 1.17/1.33 inference(modus_ponens,[status(thm)],[1318, 1315])).
% 1.17/1.33 tff(1320,plain,
% 1.17/1.33 (~(h3(e12) = h4(e12))),
% 1.17/1.33 inference(modus_ponens,[status(thm)],[1319, 1314])).
% 1.17/1.33 tff(1321,plain,
% 1.17/1.33 (~(h4(e12) = h3(e12))),
% 1.17/1.33 inference(modus_ponens,[status(thm)],[1320, 1313])).
% 1.17/1.33 tff(1322,plain,
% 1.17/1.33 (((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (h4(e12) = h3(e12))),
% 1.17/1.33 inference(tautology,[status(thm)],[])).
% 1.17/1.33 tff(1323,plain,
% 1.17/1.33 ((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))),
% 1.17/1.33 inference(unit_resolution,[status(thm)],[1322, 1321])).
% 1.17/1.33 tff(1324,plain,
% 1.17/1.33 (((~((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))) | (~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))))) <=> ((~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))) | (~((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1325,plain,
% 1.17/1.33 (((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) <=> (~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1326,plain,
% 1.17/1.33 (((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) <=> (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1327,plain,
% 1.17/1.33 (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) <=> (~((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1328,plain,
% 1.17/1.33 ((((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))) <=> ((~((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))) | (~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))))),
% 1.17/1.33 inference(monotonicity,[status(thm)],[1327, 1326, 1325])).
% 1.17/1.33 tff(1329,plain,
% 1.17/1.33 ((((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))) <=> ((~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))) | (~((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))))),
% 1.17/1.33 inference(transitivity,[status(thm)],[1328, 1324])).
% 1.17/1.33 tff(1330,plain,
% 1.17/1.33 ((((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))) <=> (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1331,plain,
% 1.17/1.33 ((((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1332,plain,
% 1.17/1.33 (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) <=> ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1333,plain,
% 1.17/1.33 ((((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.33 inference(monotonicity,[status(thm)],[1332])).
% 1.17/1.33 tff(1334,plain,
% 1.17/1.33 ((((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.17/1.33 inference(transitivity,[status(thm)],[1333, 1331])).
% 1.17/1.33 tff(1335,plain,
% 1.17/1.33 ((((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1336,plain,
% 1.17/1.33 (((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) <=> ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.17/1.33 inference(rewrite,[status(thm)],[])).
% 1.17/1.33 tff(1337,plain,
% 1.17/1.33 ((((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.33 inference(monotonicity,[status(thm)],[1336])).
% 1.17/1.33 tff(1338,plain,
% 1.17/1.33 ((((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.34 inference(transitivity,[status(thm)],[1337, 1335])).
% 1.17/1.34 tff(1339,plain,
% 1.17/1.34 ((((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) <=> (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1340,plain,
% 1.17/1.34 ((((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))) <=> (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1341,plain,
% 1.17/1.34 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))) <=> ((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1342,plain,
% 1.17/1.34 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1343,plain,
% 1.17/1.34 (((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) <=> ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1344,plain,
% 1.17/1.34 ((((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1343, 1342, 1341])).
% 1.17/1.34 tff(1345,plain,
% 1.17/1.34 ((((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 1.17/1.34 inference(transitivity,[status(thm)],[1344, 1340])).
% 1.17/1.34 tff(1346,plain,
% 1.17/1.34 (($false | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> (((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1347,plain,
% 1.17/1.34 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1348,plain,
% 1.17/1.34 (($true | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> $true),
% 1.17/1.34 inference(rewrite,[status(thm)],[])).
% 1.17/1.34 tff(1349,plain,
% 1.17/1.34 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ($true | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[193])).
% 1.17/1.34 tff(1350,plain,
% 1.17/1.34 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> $true),
% 1.17/1.34 inference(transitivity,[status(thm)],[1349, 1348])).
% 1.17/1.34 tff(1351,plain,
% 1.17/1.34 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1350])).
% 1.17/1.35 tff(1352,plain,
% 1.17/1.35 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(transitivity,[status(thm)],[1351, 1347])).
% 1.17/1.35 tff(1353,plain,
% 1.17/1.35 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1354,plain,
% 1.17/1.35 (((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) <=> ($true | $false)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[154, 144])).
% 1.17/1.35 tff(1355,plain,
% 1.17/1.35 (((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) <=> $true),
% 1.17/1.35 inference(transitivity,[status(thm)],[1354, 821])).
% 1.17/1.35 tff(1356,plain,
% 1.17/1.35 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | $false) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1357,plain,
% 1.17/1.35 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | $false)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[176])).
% 1.17/1.35 tff(1358,plain,
% 1.17/1.35 (((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(transitivity,[status(thm)],[1357, 1356])).
% 1.17/1.35 tff(1359,plain,
% 1.17/1.35 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & $true & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[1358, 1355])).
% 1.17/1.35 tff(1360,plain,
% 1.17/1.35 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.35 inference(transitivity,[status(thm)],[1359, 1353])).
% 1.17/1.35 tff(1361,plain,
% 1.17/1.35 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & $false) <=> $false),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1362,plain,
% 1.17/1.35 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | $false) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(1363,plain,
% 1.17/1.35 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | $false)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[229])).
% 1.17/1.35 tff(1364,plain,
% 1.17/1.35 (((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.17/1.35 inference(transitivity,[status(thm)],[1363, 1362])).
% 1.17/1.35 tff(1365,plain,
% 1.17/1.35 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & $false)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[1364, 220])).
% 1.17/1.35 tff(1366,plain,
% 1.17/1.35 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) <=> $false),
% 1.17/1.35 inference(transitivity,[status(thm)],[1365, 1361])).
% 1.17/1.35 tff(1367,plain,
% 1.17/1.35 ((((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> ($false | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[1366, 1360, 1352])).
% 1.17/1.36 tff(1368,plain,
% 1.17/1.36 ((((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> (((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 1.17/1.36 inference(transitivity,[status(thm)],[1367, 1346])).
% 1.17/1.36 tff(1369,plain,
% 1.17/1.36 ((((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))) <=> (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(1370,plain,
% 1.17/1.36 (((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(1371,plain,
% 1.17/1.36 (((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) <=> ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12)))))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(1372,plain,
% 1.17/1.36 (((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(1373,plain,
% 1.17/1.36 (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)))),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1374,plain,
% 1.22/1.37 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) <=> (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 1.22/1.37 inference(monotonicity,[status(thm)],[1373, 1372, 1371, 1370])).
% 1.22/1.37 tff(1375,plain,
% 1.22/1.37 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) <=> (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))))),
% 1.22/1.37 inference(transitivity,[status(thm)],[1374, 1369])).
% 1.22/1.37 tff(1376,plain,
% 1.22/1.37 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))))),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1377,plain,
% 1.22/1.37 (((((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22)))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))))),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1378,plain,
% 1.22/1.37 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & $true) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22)))),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1379,plain,
% 1.22/1.37 (((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23)) <=> $true),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1380,plain,
% 1.22/1.37 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22)))),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1381,plain,
% 1.22/1.37 ((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)))),
% 1.22/1.37 inference(rewrite,[status(thm)],[])).
% 1.22/1.37 tff(1382,plain,
% 1.22/1.37 (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22)))),
% 1.22/1.37 inference(monotonicity,[status(thm)],[1381])).
% 1.22/1.38 tff(1383,plain,
% 1.22/1.38 (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22)))),
% 1.22/1.38 inference(transitivity,[status(thm)],[1382, 1380])).
% 1.22/1.38 tff(1384,plain,
% 1.22/1.38 ((((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & ((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & $true)),
% 1.22/1.38 inference(monotonicity,[status(thm)],[1383, 1379])).
% 1.22/1.38 tff(1385,plain,
% 1.22/1.38 ((((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & ((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23))) <=> ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22)))),
% 1.22/1.38 inference(transitivity,[status(thm)],[1384, 1378])).
% 1.22/1.38 tff(1386,plain,
% 1.22/1.38 (((((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) <=> (((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))))),
% 1.22/1.38 inference(rewrite,[status(thm)],[])).
% 1.22/1.38 tff(1387,plain,
% 1.22/1.38 ((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) <=> ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))),
% 1.22/1.38 inference(rewrite,[status(thm)],[])).
% 1.22/1.38 tff(1388,plain,
% 1.22/1.38 ((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & $true) <=> ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)))),
% 1.22/1.38 inference(rewrite,[status(thm)],[])).
% 1.22/1.38 tff(1389,plain,
% 1.22/1.38 (((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22)) <=> $true),
% 1.22/1.38 inference(rewrite,[status(thm)],[])).
% 1.22/1.38 tff(1390,plain,
% 1.22/1.38 ((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) <=> ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)))),
% 1.22/1.38 inference(rewrite,[status(thm)],[])).
% 1.22/1.38 tff(1391,plain,
% 1.22/1.38 (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) <=> (((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & $true)),
% 1.22/1.38 inference(monotonicity,[status(thm)],[1390, 1389])).
% 1.22/1.38 tff(1392,plain,
% 1.22/1.38 (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) <=> ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)))),
% 1.22/1.38 inference(transitivity,[status(thm)],[1391, 1388])).
% 1.22/1.38 tff(1393,plain,
% 1.22/1.38 ((((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) <=> (((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))),
% 1.22/1.38 inference(monotonicity,[status(thm)],[1392])).
% 1.22/1.38 tff(1394,plain,
% 1.22/1.38 ((((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) <=> ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))),
% 1.22/1.38 inference(transitivity,[status(thm)],[1393, 1387])).
% 1.22/1.38 tff(1395,plain,
% 1.22/1.38 (((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) <=> (((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))))),
% 1.22/1.38 inference(rewrite,[status(thm)],[])).
% 1.22/1.38 tff(1396,plain,
% 1.22/1.38 ((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) <=> ((((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))))),
% 1.22/1.38 inference(monotonicity,[status(thm)],[1395, 1394])).
% 1.22/1.38 tff(1397,plain,
% 1.22/1.38 ((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) <=> (((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))))),
% 1.22/1.38 inference(transitivity,[status(thm)],[1396, 1386])).
% 1.22/1.38 tff(1398,plain,
% 1.22/1.38 (((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & ((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23)))) <=> ((((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | ((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))))),
% 1.22/1.38 inference(monotonicity,[status(thm)],[1397, 1385])).
% 1.22/1.38 tff(1399,plain,
% 1.22/1.38 (((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & ((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23)))) <=> (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23))))),
% 1.22/1.39 inference(transitivity,[status(thm)],[1398, 1377])).
% 1.22/1.39 tff(1400,plain,
% 1.22/1.39 ((((((((op2(e20, e20) = e20) & ((~(op2(e20, e20) = e20)) | (op2(e20, e20) = e20))) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21))) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22))) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | (((((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20))) & ((~(op2(e21, e21) = e21)) | (op2(e21, e21) = e21))) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22))) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))) | (((((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20))) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21))) & ((~(op2(e22, e22) = e22)) | (op2(e22, e22) = e22))) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23)))) | (((((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20))) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21))) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) & ((~(op2(e23, e23) = e23)) | (op2(e23, e23) = e23)))),
% 1.22/1.39 inference(and_elim,[status(thm)],[470])).
% 1.22/1.39 tff(1401,plain,
% 1.22/1.39 (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 1.22/1.39 tff(1402,plain,
% 1.22/1.39 (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1401, 1376])).
% 1.22/1.39 tff(1403,plain,
% 1.22/1.39 (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1402, 1376])).
% 1.22/1.39 tff(1404,plain,
% 1.22/1.39 (((op2(e23, e23) = e23) & ((~(op2(e20, e20) = e23)) | (op2(e20, e23) = e20)) & ((~(op2(e21, e21) = e23)) | (op2(e21, e23) = e21)) & ((~(op2(e22, e22) = e23)) | (op2(e22, e23) = e22))) | ((op2(e20, e20) = e20) & ((~(op2(e21, e21) = e20)) | (op2(e21, e20) = e21)) & ((~(op2(e22, e22) = e20)) | (op2(e22, e20) = e22)) & ((~(op2(e23, e23) = e20)) | (op2(e23, e20) = e23))) | ((op2(e22, e22) = e22) & ((~(op2(e20, e20) = e22)) | (op2(e20, e22) = e20)) & ((~(op2(e21, e21) = e22)) | (op2(e21, e22) = e21)) & ((~(op2(e23, e23) = e22)) | (op2(e23, e22) = e23))) | ((op2(e21, e21) = e21) & ((~(op2(e20, e20) = e21)) | (op2(e20, e21) = e20)) & ((~(op2(e22, e22) = e21)) | (op2(e22, e21) = e22)) & ((~(op2(e23, e23) = e21)) | (op2(e23, e21) = e23)))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1403, 1376])).
% 1.22/1.39 tff(1405,plain,
% 1.22/1.39 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1404, 1375])).
% 1.22/1.39 tff(1406,plain,
% 1.22/1.39 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1405, 1369])).
% 1.22/1.39 tff(1407,plain,
% 1.22/1.39 (((op2(h3(e12), h3(e12)) = h3(e12)) & ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))) | ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) & ((~(op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))) & ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1406, 1368])).
% 1.22/1.39 tff(1408,plain,
% 1.22/1.39 (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1407, 1345])).
% 1.22/1.39 tff(1409,plain,
% 1.22/1.39 (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((h1(op1(e12, e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1408, 1339])).
% 1.22/1.39 tff(1410,plain,
% 1.22/1.39 (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1409, 1338])).
% 1.22/1.39 tff(1411,plain,
% 1.22/1.39 (((h2(op1(e12, e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | ((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1410, 1335])).
% 1.22/1.39 tff(1412,plain,
% 1.22/1.39 (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1411, 1334])).
% 1.22/1.39 tff(1413,plain,
% 1.22/1.39 (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 1.22/1.39 inference(modus_ponens,[status(thm)],[1412, 1330])).
% 1.22/1.40 tff(1414,plain,
% 1.22/1.40 (((h4(e12) = h3(e12)) & ((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12))) & ((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12))) & ((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))) | ((op2(h1(e12), h1(e12)) = h1(e12)) & (~(h2(op1(e12, e12)) = h1(e12))) & ((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))) | ((op2(h2(e12), h2(e12)) = h2(e12)) & ((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12))) & ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1413, 1330])).
% 1.22/1.40 tff(1415,plain,
% 1.22/1.40 ((~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))) | (~((~(h4(e12) = h3(e12))) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (op2(h1(e12), h3(e12)) = h1(e12)))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (op2(h2(e12), h3(e12)) = h2(e12)))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1414, 1329])).
% 1.22/1.40 tff(1416,plain,
% 1.22/1.40 ((~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))) | (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))))),
% 1.22/1.40 inference(unit_resolution,[status(thm)],[1415, 1323])).
% 1.22/1.40 tff(1417,plain,
% 1.22/1.40 (~((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.22/1.40 inference(unit_resolution,[status(thm)],[1416, 1311])).
% 1.22/1.40 tff(1418,plain,
% 1.22/1.40 (((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))) | ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))),
% 1.22/1.40 inference(tautology,[status(thm)],[])).
% 1.22/1.40 tff(1419,plain,
% 1.22/1.40 ((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))),
% 1.22/1.40 inference(unit_resolution,[status(thm)],[1418, 1417])).
% 1.22/1.40 tff(1420,plain,
% 1.22/1.40 ((~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12)))) | (~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))),
% 1.22/1.40 inference(tautology,[status(thm)],[])).
% 1.22/1.40 tff(1421,plain,
% 1.22/1.40 (~(h4(op1(e12, e12)) = h2(e12))),
% 1.22/1.40 inference(unit_resolution,[status(thm)],[1420, 1419, 1308])).
% 1.22/1.40 tff(1422,plain,
% 1.22/1.40 ((op2(h4(e12), h4(e12)) = h1(e12)) <=> (h1(e12) = op2(h4(e12), h4(e12)))),
% 1.22/1.40 inference(commutativity,[status(thm)],[])).
% 1.22/1.40 tff(1423,plain,
% 1.22/1.40 ((h4(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) <=> (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1424,plain,
% 1.22/1.40 ((h4(e13) = op2(e23, e23)) <=> (h4(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1425,plain,
% 1.22/1.40 ((h4(e13) = op2(e23, e23)) <=> (h4(e13) = op2(e23, e23))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1426,axiom,((((h4(e12) = e23) & (h4(e10) = op2(e23, op2(e23, e23)))) & (h4(e11) = op2(e23, op2(e23, op2(e23, e23))))) & (h4(e13) = op2(e23, e23))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax17')).
% 1.22/1.40 tff(1427,plain,
% 1.22/1.40 (h4(e13) = op2(e23, e23)),
% 1.22/1.40 inference(and_elim,[status(thm)],[1426])).
% 1.22/1.40 tff(1428,plain,
% 1.22/1.40 (h4(e13) = op2(e23, e23)),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1427, 1425])).
% 1.22/1.40 tff(1429,plain,
% 1.22/1.40 (h4(op1(e12, e12)) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1428, 1424])).
% 1.22/1.40 tff(1430,plain,
% 1.22/1.40 (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1429, 1423])).
% 1.22/1.40 tff(1431,plain,
% 1.22/1.40 ((h4(op1(e12, e12)) = h1(e12)) <=> (op2(h4(e12), h4(e12)) = h1(e12))),
% 1.22/1.40 inference(monotonicity,[status(thm)],[1430])).
% 1.22/1.40 tff(1432,plain,
% 1.22/1.40 ((h4(op1(e12, e12)) = h1(e12)) <=> (h1(e12) = op2(h4(e12), h4(e12)))),
% 1.22/1.40 inference(transitivity,[status(thm)],[1431, 1422])).
% 1.22/1.40 tff(1433,plain,
% 1.22/1.40 ((h1(e12) = op2(h4(e12), h4(e12))) <=> (h4(op1(e12, e12)) = h1(e12))),
% 1.22/1.40 inference(symmetry,[status(thm)],[1432])).
% 1.22/1.40 tff(1434,plain,
% 1.22/1.40 ((~(h1(e12) = op2(h4(e12), h4(e12)))) <=> (~(h4(op1(e12, e12)) = h1(e12)))),
% 1.22/1.40 inference(monotonicity,[status(thm)],[1433])).
% 1.22/1.40 tff(1435,plain,
% 1.22/1.40 ((~(h1(e12) = h4(op1(e12, e12)))) <=> (~(h1(e12) = op2(h4(e12), h4(e12))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1436,plain,
% 1.22/1.40 ((~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(h1(e12) = h4(op1(e12, e12))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1437,plain,
% 1.22/1.40 ((~(op2(e22, e23) = op2(e23, e23))) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1438,plain,
% 1.22/1.40 ((~(op2(e22, e23) = op2(e23, e23))) <=> (~(op2(e22, e23) = op2(e23, e23)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1439,plain,
% 1.22/1.40 (~(op2(e22, e23) = op2(e23, e23))),
% 1.22/1.40 inference(and_elim,[status(thm)],[82])).
% 1.22/1.40 tff(1440,plain,
% 1.22/1.40 (~(op2(e22, e23) = op2(e23, e23))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 1.22/1.40 tff(1441,plain,
% 1.22/1.40 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1440, 1437])).
% 1.22/1.40 tff(1442,plain,
% 1.22/1.40 (~(h1(e12) = h4(op1(e12, e12)))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1441, 1436])).
% 1.22/1.40 tff(1443,plain,
% 1.22/1.40 (~(h1(e12) = op2(h4(e12), h4(e12)))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1442, 1435])).
% 1.22/1.40 tff(1444,plain,
% 1.22/1.40 (~(h4(op1(e12, e12)) = h1(e12))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1443, 1434])).
% 1.22/1.40 tff(1445,plain,
% 1.22/1.40 (((h4(op1(e12, e12)) = h1(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (h4(op1(e12, e12)) = h4(e12))) <=> ((h4(op1(e12, e12)) = h1(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(e12)) = h4(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1446,plain,
% 1.22/1.40 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((h4(op1(e12, e12)) = h1(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (h4(op1(e12, e12)) = h4(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1447,plain,
% 1.22/1.40 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1448,plain,
% 1.22/1.40 ((op2(e23, e23) = e23) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1449,plain,
% 1.22/1.40 ((op2(e23, e23) = e22) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1450,plain,
% 1.22/1.40 ((op2(e23, e23) = e21) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1451,plain,
% 1.22/1.40 ((op2(e23, e23) = e20) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1452,plain,
% 1.22/1.40 (((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23)) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.22/1.40 inference(monotonicity,[status(thm)],[1451, 1450, 1449, 1448])).
% 1.22/1.40 tff(1453,plain,
% 1.22/1.40 (((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23)) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.22/1.40 inference(transitivity,[status(thm)],[1452, 1447])).
% 1.22/1.40 tff(1454,plain,
% 1.22/1.40 (((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23)) <=> ((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1455,plain,
% 1.22/1.40 ((((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23)) <=> ((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1456,plain,
% 1.22/1.40 ((((op2(e23, e23) = e20) | (op2(e23, e23) = e21)) | (op2(e23, e23) = e22)) <=> ((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1457,plain,
% 1.22/1.40 (((((op2(e23, e23) = e20) | (op2(e23, e23) = e21)) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23)) <=> (((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23))),
% 1.22/1.40 inference(monotonicity,[status(thm)],[1456])).
% 1.22/1.40 tff(1458,plain,
% 1.22/1.40 (((((op2(e23, e23) = e20) | (op2(e23, e23) = e21)) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23)) <=> ((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23))),
% 1.22/1.40 inference(transitivity,[status(thm)],[1457, 1455])).
% 1.22/1.40 tff(1459,plain,
% 1.22/1.40 ((((op2(e23, e23) = e20) | (op2(e23, e23) = e21)) | (op2(e23, e23) = e22)) | (op2(e23, e23) = e23)),
% 1.22/1.40 inference(and_elim,[status(thm)],[1177])).
% 1.22/1.40 tff(1460,plain,
% 1.22/1.40 ((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23)),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 1.22/1.40 tff(1461,plain,
% 1.22/1.40 ((op2(e23, e23) = e20) | (op2(e23, e23) = e21) | (op2(e23, e23) = e22) | (op2(e23, e23) = e23)),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1460, 1454])).
% 1.22/1.40 tff(1462,plain,
% 1.22/1.40 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1461, 1453])).
% 1.22/1.40 tff(1463,plain,
% 1.22/1.40 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1462, 1447])).
% 1.22/1.40 tff(1464,plain,
% 1.22/1.40 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1463, 1447])).
% 1.22/1.40 tff(1465,plain,
% 1.22/1.40 ((h4(op1(e12, e12)) = h1(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (h4(op1(e12, e12)) = h4(e12))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1464, 1446])).
% 1.22/1.40 tff(1466,plain,
% 1.22/1.40 ((h4(op1(e12, e12)) = h1(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1465, 1445])).
% 1.22/1.40 tff(1467,plain,
% 1.22/1.40 ((h4(op1(e12, e12)) = h2(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))),
% 1.22/1.40 inference(unit_resolution,[status(thm)],[1466, 1444])).
% 1.22/1.40 tff(1468,plain,
% 1.22/1.40 (op2(h4(e12), h4(e12)) = h4(e12)),
% 1.22/1.40 inference(unit_resolution,[status(thm)],[1467, 1421, 1307])).
% 1.22/1.40 tff(1469,plain,
% 1.22/1.40 ((op2(h4(e12), h1(e12)) = op2(h4(e12), h4(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 1.22/1.40 inference(monotonicity,[status(thm)],[1468])).
% 1.22/1.40 tff(1470,plain,
% 1.22/1.40 ((op2(h4(e12), h1(e12)) = h4(e12)) <=> (op2(h4(e12), h1(e12)) = op2(h4(e12), h4(e12)))),
% 1.22/1.40 inference(symmetry,[status(thm)],[1469])).
% 1.22/1.40 tff(1471,assumption,(~(h1(op1(e12, e12)) = h4(e12))), introduced(assumption)).
% 1.22/1.40 tff(1472,plain,
% 1.22/1.40 (((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | $false | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1473,plain,
% 1.22/1.40 ((~(h1(op1(e12, e12)) = h2(e12))) <=> (~(op2(h1(e12), h1(e12)) = h2(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1474,plain,
% 1.22/1.40 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~(h1(op1(e12, e12)) = h2(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1475,plain,
% 1.22/1.40 (~(h1(op1(e12, e12)) = h2(e12))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[190, 1474])).
% 1.22/1.40 tff(1476,plain,
% 1.22/1.40 (~(op2(h1(e12), h1(e12)) = h2(e12))),
% 1.22/1.40 inference(modus_ponens,[status(thm)],[1475, 1473])).
% 1.22/1.40 tff(1477,plain,
% 1.22/1.40 ((op2(h1(e12), h1(e12)) = h2(e12)) <=> $false),
% 1.22/1.40 inference(iff_false,[status(thm)],[1476])).
% 1.22/1.40 tff(1478,plain,
% 1.22/1.40 (((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | $false | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.22/1.40 inference(monotonicity,[status(thm)],[1477])).
% 1.22/1.40 tff(1479,plain,
% 1.22/1.40 (((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.22/1.40 inference(transitivity,[status(thm)],[1478, 1472])).
% 1.22/1.40 tff(1480,plain,
% 1.22/1.40 (((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1481,plain,
% 1.22/1.40 (((op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1482,plain,
% 1.22/1.40 ((h1(op1(e12, e12)) = h2(e12)) <=> (op2(h1(e12), h1(e12)) = h2(e12))),
% 1.22/1.40 inference(rewrite,[status(thm)],[])).
% 1.22/1.40 tff(1483,plain,
% 1.22/1.40 (((h1(op1(e12, e12)) = h1(e12)) | (h1(op1(e12, e12)) = h2(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12))) <=> ((op2(h1(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)))),
% 1.22/1.41 inference(monotonicity,[status(thm)],[688, 1482])).
% 1.22/1.41 tff(1484,plain,
% 1.22/1.41 (((h1(op1(e12, e12)) = h1(e12)) | (h1(op1(e12, e12)) = h2(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.22/1.41 inference(transitivity,[status(thm)],[1483, 1481])).
% 1.22/1.41 tff(1485,plain,
% 1.22/1.41 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (h1(op1(e12, e12)) = h2(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1486,plain,
% 1.22/1.41 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1487,plain,
% 1.22/1.41 ((op2(e20, e20) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1488,plain,
% 1.22/1.41 ((op2(e20, e20) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1489,plain,
% 1.22/1.41 ((op2(e20, e20) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1490,plain,
% 1.22/1.41 (((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.22/1.41 inference(monotonicity,[status(thm)],[696, 1489, 1488, 1487])).
% 1.22/1.41 tff(1491,plain,
% 1.22/1.41 (((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 1.22/1.41 inference(transitivity,[status(thm)],[1490, 1486])).
% 1.22/1.41 tff(1492,plain,
% 1.22/1.41 (((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23)) <=> ((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1493,plain,
% 1.22/1.41 ((((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) <=> ((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1494,plain,
% 1.22/1.41 ((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) <=> ((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1495,plain,
% 1.22/1.41 (((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) <=> (((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23))),
% 1.22/1.41 inference(monotonicity,[status(thm)],[1494])).
% 1.22/1.41 tff(1496,plain,
% 1.22/1.41 (((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)) <=> ((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23))),
% 1.22/1.41 inference(transitivity,[status(thm)],[1495, 1493])).
% 1.22/1.41 tff(1497,plain,
% 1.22/1.41 ((((op2(e20, e20) = e20) | (op2(e20, e20) = e21)) | (op2(e20, e20) = e22)) | (op2(e20, e20) = e23)),
% 1.22/1.41 inference(and_elim,[status(thm)],[1225])).
% 1.22/1.41 tff(1498,plain,
% 1.22/1.41 ((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23)),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 1.22/1.41 tff(1499,plain,
% 1.22/1.41 ((op2(e20, e20) = e20) | (op2(e20, e20) = e21) | (op2(e20, e20) = e22) | (op2(e20, e20) = e23)),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1498, 1492])).
% 1.22/1.41 tff(1500,plain,
% 1.22/1.41 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1499, 1491])).
% 1.22/1.41 tff(1501,plain,
% 1.22/1.41 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1500, 1486])).
% 1.22/1.41 tff(1502,plain,
% 1.22/1.41 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1501, 1486])).
% 1.22/1.41 tff(1503,plain,
% 1.22/1.41 ((h1(op1(e12, e12)) = h1(e12)) | (h1(op1(e12, e12)) = h2(e12)) | (h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1502, 1485])).
% 1.22/1.41 tff(1504,plain,
% 1.22/1.41 ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1503, 1484])).
% 1.22/1.41 tff(1505,plain,
% 1.22/1.41 ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1504, 1480])).
% 1.22/1.41 tff(1506,plain,
% 1.22/1.41 ((h1(op1(e12, e12)) = h3(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1505, 1479])).
% 1.22/1.41 tff(1507,plain,
% 1.22/1.41 (h1(op1(e12, e12)) = h3(e12)),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1506, 1309, 1471])).
% 1.22/1.41 tff(1508,plain,
% 1.22/1.41 (((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))) | (~(h1(op1(e12, e12)) = h3(e12)))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1509,plain,
% 1.22/1.41 ((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1508, 1507])).
% 1.22/1.41 tff(1510,plain,
% 1.22/1.41 (op2(h1(e12), h3(e12)) = h1(e12)),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[724, 1309, 1130])).
% 1.22/1.41 tff(1511,plain,
% 1.22/1.41 ((~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12)))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1512,plain,
% 1.22/1.41 (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1511, 1507, 1510])).
% 1.22/1.41 tff(1513,plain,
% 1.22/1.41 (((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))) | ((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1514,plain,
% 1.22/1.41 ((~(op2(h2(e12), h3(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h1(op1(e12, e12)) = h3(e12))) | (~(op2(h1(e12), h3(e12)) = h1(e12))))) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12)))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1513, 1512])).
% 1.22/1.41 tff(1515,plain,
% 1.22/1.41 (((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))) | (op2(h2(e12), h2(e12)) = h2(e12))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1516,plain,
% 1.22/1.41 (op2(h2(e12), h2(e12)) = h2(e12)),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1515, 1417])).
% 1.22/1.41 tff(1517,plain,
% 1.22/1.41 ((~(op2(h3(e12), h2(e12)) = h3(e12))) | (h4(e12) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[36, 1516])).
% 1.22/1.41 tff(1518,plain,
% 1.22/1.41 (((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))))) | (op2(h4(e12), h2(e12)) = h4(e12))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1519,plain,
% 1.22/1.41 ((~(op2(h4(e12), h2(e12)) = h4(e12))) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12)))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1518, 1308])).
% 1.22/1.41 tff(1520,plain,
% 1.22/1.41 (((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))) | (op2(h1(e12), h2(e12)) = h1(e12))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1521,plain,
% 1.22/1.41 ((~(op2(h1(e12), h2(e12)) = h1(e12))) | (op2(h2(e12), h2(e12)) = h2(e12)) | (~((~(h4(e12) = h2(e12))) | (~(op2(h3(e12), h2(e12)) = h3(e12))))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (~(op2(h4(e12), h2(e12)) = h4(e12)))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1520, 1130])).
% 1.22/1.41 tff(1522,plain,
% 1.22/1.41 (((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))) | (~(op2(h4(e12), h4(e12)) = h4(e12)))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1523,plain,
% 1.22/1.41 ((~(op2(h2(e12), h4(e12)) = h2(e12))) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h4(e12), h4(e12)) = h4(e12))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1522, 1468])).
% 1.22/1.41 tff(1524,plain,
% 1.22/1.41 (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[487, 1523, 1521, 1519, 1517, 1514, 1509])).
% 1.22/1.41 tff(1525,plain,
% 1.22/1.41 (op2(h4(e12), h1(e12)) = h4(e12)),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[670, 1524])).
% 1.22/1.41 tff(1526,plain,
% 1.22/1.41 (op2(h4(e12), h1(e12)) = op2(h4(e12), h4(e12))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1525, 1470])).
% 1.22/1.41 tff(1527,plain,
% 1.22/1.41 ((~(op2(h4(e12), h1(e12)) = h4(op1(e12, e12)))) <=> (~(op2(h4(e12), h1(e12)) = op2(h4(e12), h4(e12))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1528,plain,
% 1.22/1.41 ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(op2(h4(e12), h1(e12)) = h4(op1(e12, e12))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1529,plain,
% 1.22/1.41 ((~(op2(e23, e20) = op2(e23, e23))) <=> (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1530,plain,
% 1.22/1.41 ((~(op2(e23, e20) = op2(e23, e23))) <=> (~(op2(e23, e20) = op2(e23, e23)))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1531,plain,
% 1.22/1.41 (~(op2(e23, e20) = op2(e23, e23))),
% 1.22/1.41 inference(and_elim,[status(thm)],[14])).
% 1.22/1.41 tff(1532,plain,
% 1.22/1.41 (~(op2(e23, e20) = op2(e23, e23))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 1.22/1.41 tff(1533,plain,
% 1.22/1.41 (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1532, 1529])).
% 1.22/1.41 tff(1534,plain,
% 1.22/1.41 (~(op2(h4(e12), h1(e12)) = h4(op1(e12, e12)))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1533, 1528])).
% 1.22/1.41 tff(1535,plain,
% 1.22/1.41 (~(op2(h4(e12), h1(e12)) = op2(h4(e12), h4(e12)))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1534, 1527])).
% 1.22/1.41 tff(1536,plain,
% 1.22/1.41 ($false),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1535, 1526])).
% 1.22/1.41 tff(1537,plain,((op2(h1(e12), h1(e12)) = h1(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h2(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h1(e12))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.41 tff(1538,plain,
% 1.22/1.41 (h4(op1(e12, e12)) = h3(e12)),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1537, 1306, 503, 1255, 1130])).
% 1.22/1.41 tff(1539,plain,
% 1.22/1.41 (((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))) | (~(h4(op1(e12, e12)) = h3(e12)))),
% 1.22/1.41 inference(tautology,[status(thm)],[])).
% 1.22/1.41 tff(1540,plain,
% 1.22/1.41 ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[1539, 1538])).
% 1.22/1.41 tff(1541,plain,
% 1.22/1.41 (op2(h1(e12), h3(e12)) = h1(e12)),
% 1.22/1.41 inference(unit_resolution,[status(thm)],[724, 1130, 503])).
% 1.22/1.41 tff(1542,plain,
% 1.22/1.41 ((op2(h1(e12), h3(e12)) = h2(e12)) <=> (h1(e12) = h2(e12))),
% 1.22/1.41 inference(monotonicity,[status(thm)],[1541])).
% 1.22/1.41 tff(1543,plain,
% 1.22/1.41 ((op2(h1(e12), h3(e12)) = h2(e12)) <=> (h2(e12) = h1(e12))),
% 1.22/1.41 inference(transitivity,[status(thm)],[1542, 1])).
% 1.22/1.41 tff(1544,plain,
% 1.22/1.41 ((h2(e12) = h1(e12)) <=> (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.41 inference(symmetry,[status(thm)],[1543])).
% 1.22/1.41 tff(1545,plain,
% 1.22/1.41 ((~(h2(e12) = h1(e12))) <=> (~(op2(h1(e12), h3(e12)) = h2(e12)))),
% 1.22/1.41 inference(monotonicity,[status(thm)],[1544])).
% 1.22/1.41 tff(1546,plain,
% 1.22/1.41 (~(op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.41 inference(modus_ponens,[status(thm)],[1265, 1545])).
% 1.22/1.41 tff(1547,plain,
% 1.22/1.41 (((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1548,plain,
% 1.22/1.41 (((op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1549,plain,
% 1.22/1.41 ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1550,plain,
% 1.22/1.41 ((op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (h4(e12) = h2(e12))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1551,plain,
% 1.22/1.41 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1552,plain,
% 1.22/1.41 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 1.22/1.41 inference(monotonicity,[status(thm)],[1551, 629, 1550, 1549])).
% 1.22/1.41 tff(1553,plain,
% 1.22/1.41 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)))),
% 1.22/1.41 inference(transitivity,[status(thm)],[1552, 1548])).
% 1.22/1.41 tff(1554,plain,
% 1.22/1.41 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1555,plain,
% 1.22/1.41 ((op2(e23, e22) = e21) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1556,plain,
% 1.22/1.41 ((op2(e22, e22) = e21) <=> (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1557,plain,
% 1.22/1.41 ((op2(e20, e22) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.41 inference(rewrite,[status(thm)],[])).
% 1.22/1.41 tff(1558,plain,
% 1.22/1.41 (((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1557, 636, 1556, 1555])).
% 1.22/1.42 tff(1559,plain,
% 1.22/1.42 (((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.22/1.42 inference(transitivity,[status(thm)],[1558, 1554])).
% 1.22/1.42 tff(1560,plain,
% 1.22/1.42 (((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21)) <=> ((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21))),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1561,plain,
% 1.22/1.42 ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21)) <=> ((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21))),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1562,plain,
% 1.22/1.42 ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) <=> ((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21))),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1563,plain,
% 1.22/1.42 (((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21)) <=> (((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1562])).
% 1.22/1.42 tff(1564,plain,
% 1.22/1.42 (((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21)) <=> ((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21))),
% 1.22/1.42 inference(transitivity,[status(thm)],[1563, 1561])).
% 1.22/1.42 tff(1565,plain,
% 1.22/1.42 ((((op2(e20, e22) = e21) | (op2(e21, e22) = e21)) | (op2(e22, e22) = e21)) | (op2(e23, e22) = e21)),
% 1.22/1.42 inference(and_elim,[status(thm)],[584])).
% 1.22/1.42 tff(1566,plain,
% 1.22/1.42 ((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21)),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1565, 1564])).
% 1.22/1.42 tff(1567,plain,
% 1.22/1.42 ((op2(e20, e22) = e21) | (op2(e21, e22) = e21) | (op2(e22, e22) = e21) | (op2(e23, e22) = e21)),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1566, 1560])).
% 1.22/1.42 tff(1568,plain,
% 1.22/1.42 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1567, 1559])).
% 1.22/1.42 tff(1569,plain,
% 1.22/1.42 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1568, 1554])).
% 1.22/1.42 tff(1570,plain,
% 1.22/1.42 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1569, 1554])).
% 1.22/1.42 tff(1571,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1570, 1553])).
% 1.22/1.42 tff(1572,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1571, 1547])).
% 1.22/1.42 tff(1573,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1572, 1547])).
% 1.22/1.42 tff(1574,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1573, 1547])).
% 1.22/1.42 tff(1575,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1574, 1547])).
% 1.22/1.42 tff(1576,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1575, 1547])).
% 1.22/1.42 tff(1577,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (h4(e12) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1576, 1547])).
% 1.22/1.42 tff(1578,plain,
% 1.22/1.42 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1577, 528])).
% 1.22/1.42 tff(1579,plain,
% 1.22/1.42 (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1578, 1546, 31])).
% 1.22/1.42 tff(1580,plain,
% 1.22/1.42 ((h4(e12) = e23) <=> (h4(e12) = op2(h3(e12), h3(e12)))),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1581,plain,
% 1.22/1.42 ((h4(e12) = e23) <=> (h4(e12) = e23)),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1582,plain,
% 1.22/1.42 (((h4(e12) = e23) & (h4(e10) = op2(e23, op2(e23, e23)))) & (h4(e11) = op2(e23, op2(e23, op2(e23, e23))))),
% 1.22/1.42 inference(and_elim,[status(thm)],[1426])).
% 1.22/1.42 tff(1583,plain,
% 1.22/1.42 ((h4(e12) = e23) & (h4(e10) = op2(e23, op2(e23, e23)))),
% 1.22/1.42 inference(and_elim,[status(thm)],[1582])).
% 1.22/1.42 tff(1584,plain,
% 1.22/1.42 (h4(e12) = e23),
% 1.22/1.42 inference(and_elim,[status(thm)],[1583])).
% 1.22/1.42 tff(1585,plain,
% 1.22/1.42 (h4(e12) = e23),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1584, 1581])).
% 1.22/1.42 tff(1586,plain,
% 1.22/1.42 (h4(e12) = op2(h3(e12), h3(e12))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1585, 1580])).
% 1.22/1.42 tff(1587,plain,
% 1.22/1.42 (op2(h4(e12), h4(op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1586, 1538])).
% 1.22/1.42 tff(1588,plain,
% 1.22/1.42 (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)),
% 1.22/1.42 inference(transitivity,[status(thm)],[1587, 1579])).
% 1.22/1.42 tff(1589,plain,
% 1.22/1.42 (((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) | (~(op2(h4(e12), h4(op1(e12, e12))) = h2(e12)))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1590,plain,
% 1.22/1.42 ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1589, 1588])).
% 1.22/1.42 tff(1591,plain,
% 1.22/1.42 (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = op2(h4(e12), h2(e12))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1588])).
% 1.22/1.42 tff(1592,plain,
% 1.22/1.42 (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)),
% 1.22/1.42 inference(transitivity,[status(thm)],[1591, 1301])).
% 1.22/1.42 tff(1593,plain,
% 1.22/1.42 (((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) | (~(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1594,plain,
% 1.22/1.42 ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1593, 1592])).
% 1.22/1.42 tff(1595,plain,
% 1.22/1.42 (op2(h4(e12), h4(e12)) = h4(op1(e12, e12))),
% 1.22/1.42 inference(symmetry,[status(thm)],[1430])).
% 1.22/1.42 tff(1596,plain,
% 1.22/1.42 (op2(h4(e12), h4(e12)) = h3(e12)),
% 1.22/1.42 inference(transitivity,[status(thm)],[1595, 1538])).
% 1.22/1.42 tff(1597,plain,
% 1.22/1.42 (op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))) = op2(h3(e12), h3(e12))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1596, 1596])).
% 1.22/1.42 tff(1598,plain,
% 1.22/1.42 (op2(h3(e12), h3(e12)) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))),
% 1.22/1.42 inference(symmetry,[status(thm)],[1597])).
% 1.22/1.42 tff(1599,assumption,(~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))), introduced(assumption)).
% 1.22/1.42 tff(1600,plain,
% 1.22/1.42 ((op1(e12, op1(e12, e12)) = op1(e12, e12)) <=> (op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 1.22/1.42 inference(commutativity,[status(thm)],[])).
% 1.22/1.42 tff(1601,plain,
% 1.22/1.42 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1602,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1601, 1599])).
% 1.22/1.42 tff(1603,plain,
% 1.22/1.42 ((op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.42 inference(commutativity,[status(thm)],[])).
% 1.22/1.42 tff(1604,assumption,(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))), introduced(assumption)).
% 1.22/1.42 tff(1605,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1604])).
% 1.22/1.42 tff(1606,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.42 inference(transitivity,[status(thm)],[1605, 1603])).
% 1.22/1.42 tff(1607,plain,
% 1.22/1.42 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.22/1.42 inference(monotonicity,[status(thm)],[1606])).
% 1.22/1.42 tff(1608,plain,
% 1.22/1.42 ((~(op1(e11, e11) = op1(e11, e13))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))))),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1609,plain,
% 1.22/1.42 ((~(op1(e11, e11) = op1(e11, e13))) <=> (~(op1(e11, e11) = op1(e11, e13)))),
% 1.22/1.42 inference(rewrite,[status(thm)],[])).
% 1.22/1.42 tff(1610,plain,
% 1.22/1.42 (~(op1(e11, e11) = op1(e11, e13))),
% 1.22/1.42 inference(and_elim,[status(thm)],[776])).
% 1.22/1.42 tff(1611,plain,
% 1.22/1.42 (~(op1(e11, e11) = op1(e11, e13))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1610, 1609])).
% 1.22/1.42 tff(1612,plain,
% 1.22/1.42 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1611, 1608])).
% 1.22/1.42 tff(1613,plain,
% 1.22/1.42 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.42 inference(modus_ponens,[status(thm)],[1612, 1607])).
% 1.22/1.42 tff(1614,plain,
% 1.22/1.42 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1615,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1614, 1613])).
% 1.22/1.42 tff(1616,plain,
% 1.22/1.42 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1617,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1616, 1604])).
% 1.22/1.42 tff(1618,plain,
% 1.22/1.42 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1619,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1618, 1604])).
% 1.22/1.42 tff(1620,plain,
% 1.22/1.42 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.22/1.42 inference(tautology,[status(thm)],[])).
% 1.22/1.42 tff(1621,plain,
% 1.22/1.42 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.22/1.42 inference(unit_resolution,[status(thm)],[1620, 1604])).
% 1.22/1.42 tff(1622,assumption,((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))), introduced(assumption)).
% 1.22/1.42 tff(1623,plain,
% 1.22/1.42 ((op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12)) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.43 inference(commutativity,[status(thm)],[])).
% 1.22/1.43 tff(1624,plain,
% 1.22/1.43 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12)) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12))),
% 1.22/1.43 inference(monotonicity,[status(thm)],[1604])).
% 1.22/1.43 tff(1625,plain,
% 1.22/1.43 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12)) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.43 inference(transitivity,[status(thm)],[1624, 1623])).
% 1.22/1.43 tff(1626,plain,
% 1.22/1.43 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.22/1.43 inference(monotonicity,[status(thm)],[1625])).
% 1.22/1.43 tff(1627,plain,
% 1.22/1.43 ((~(op1(e11, e11) = op1(e11, e12))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12)))),
% 1.22/1.43 inference(rewrite,[status(thm)],[])).
% 1.22/1.43 tff(1628,plain,
% 1.22/1.43 ((~(op1(e11, e11) = op1(e11, e12))) <=> (~(op1(e11, e11) = op1(e11, e12)))),
% 1.22/1.43 inference(rewrite,[status(thm)],[])).
% 1.22/1.43 tff(1629,plain,
% 1.22/1.43 (~(op1(e11, e11) = op1(e11, e12))),
% 1.22/1.43 inference(and_elim,[status(thm)],[777])).
% 1.22/1.43 tff(1630,plain,
% 1.22/1.43 (~(op1(e11, e11) = op1(e11, e12))),
% 1.22/1.43 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 1.22/1.43 tff(1631,plain,
% 1.22/1.43 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), e12))),
% 1.22/1.43 inference(modus_ponens,[status(thm)],[1630, 1627])).
% 1.22/1.43 tff(1632,plain,
% 1.22/1.43 (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.43 inference(modus_ponens,[status(thm)],[1631, 1626])).
% 1.22/1.43 tff(1633,plain,
% 1.22/1.43 (((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.22/1.43 inference(tautology,[status(thm)],[])).
% 1.22/1.43 tff(1634,plain,
% 1.22/1.43 ((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.22/1.43 inference(unit_resolution,[status(thm)],[1633, 1632])).
% 1.22/1.43 tff(1635,plain,
% 1.22/1.43 ((op1(e12, e12) = op1(op1(e12, e12), e12)) <=> (op1(op1(e12, e12), e12) = op1(e12, e12))),
% 1.22/1.43 inference(commutativity,[status(thm)],[])).
% 1.22/1.43 tff(1636,plain,
% 1.22/1.43 ((~(op1(e12, e12) = op1(op1(e12, e12), e12))) <=> (~(op1(op1(e12, e12), e12) = op1(e12, e12)))),
% 1.22/1.43 inference(monotonicity,[status(thm)],[1635])).
% 1.22/1.43 tff(1637,plain,
% 1.22/1.43 ((~(op1(e12, e12) = op1(e13, e12))) <=> (~(op1(e12, e12) = op1(op1(e12, e12), e12)))),
% 1.22/1.43 inference(rewrite,[status(thm)],[])).
% 1.22/1.43 tff(1638,plain,
% 1.22/1.43 ((~(op1(e12, e12) = op1(e13, e12))) <=> (~(op1(e12, e12) = op1(e13, e12)))),
% 1.22/1.43 inference(rewrite,[status(thm)],[])).
% 1.22/1.43 tff(1639,plain,
% 1.22/1.43 (~(op1(e12, e12) = op1(e13, e12))),
% 1.22/1.43 inference(and_elim,[status(thm)],[793])).
% 1.22/1.43 tff(1640,plain,
% 1.22/1.43 (~(op1(e12, e12) = op1(e13, e12))),
% 1.22/1.43 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 1.22/1.43 tff(1641,plain,
% 1.22/1.43 (~(op1(e12, e12) = op1(op1(e12, e12), e12))),
% 1.22/1.43 inference(modus_ponens,[status(thm)],[1640, 1637])).
% 1.22/1.43 tff(1642,plain,
% 1.22/1.43 (~(op1(op1(e12, e12), e12) = op1(e12, e12))),
% 1.22/1.43 inference(modus_ponens,[status(thm)],[1641, 1636])).
% 1.22/1.43 tff(1643,plain,
% 1.22/1.43 (((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)) | (op1(op1(e12, e12), e12) = op1(e12, e12))),
% 1.22/1.43 inference(tautology,[status(thm)],[])).
% 1.22/1.43 tff(1644,plain,
% 1.22/1.43 ((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.22/1.43 inference(unit_resolution,[status(thm)],[1643, 1642])).
% 1.22/1.43 tff(1645,plain,
% 1.22/1.43 (((~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))))) | (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> ((~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))) | (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))))),
% 1.22/1.43 inference(rewrite,[status(thm)],[])).
% 1.22/1.43 tff(1646,plain,
% 1.22/1.43 (((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))) <=> (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.22/1.43 inference(rewrite,[status(thm)],[])).
% 1.22/1.43 tff(1647,plain,
% 1.22/1.43 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) <=> ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1648,plain,
% 1.22/1.44 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) <=> ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1649,plain,
% 1.22/1.44 (((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))) <=> ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.22/1.44 inference(monotonicity,[status(thm)],[1648, 1647])).
% 1.22/1.44 tff(1650,plain,
% 1.22/1.44 (((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))) <=> (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.22/1.44 inference(transitivity,[status(thm)],[1649, 1646])).
% 1.22/1.44 tff(1651,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1652,plain,
% 1.22/1.44 (((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))) <=> ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1653,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.22/1.44 inference(monotonicity,[status(thm)],[1648, 1652])).
% 1.22/1.44 tff(1654,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))))),
% 1.22/1.44 inference(transitivity,[status(thm)],[1653, 1651])).
% 1.22/1.44 tff(1655,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1656,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.22/1.44 inference(monotonicity,[status(thm)],[1647, 1652])).
% 1.22/1.44 tff(1657,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))))),
% 1.22/1.44 inference(transitivity,[status(thm)],[1656, 1655])).
% 1.22/1.44 tff(1658,plain,
% 1.22/1.44 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1659,plain,
% 1.22/1.44 (((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) <=> (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1660,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1661,plain,
% 1.22/1.44 (((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) <=> (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.44 tff(1662,plain,
% 1.22/1.44 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))))),
% 1.22/1.44 inference(rewrite,[status(thm)],[])).
% 1.22/1.45 tff(1663,plain,
% 1.22/1.45 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> ((~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))))) | (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.22/1.45 inference(monotonicity,[status(thm)],[1662, 1661, 1660, 1659, 1658, 1657, 1654, 1650])).
% 1.22/1.45 tff(1664,plain,
% 1.22/1.45 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> ((~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))) | (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))))),
% 1.31/1.46 inference(transitivity,[status(thm)],[1663, 1645])).
% 1.31/1.46 tff(1665,plain,
% 1.31/1.46 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.31/1.46 inference(rewrite,[status(thm)],[])).
% 1.31/1.46 tff(1666,plain,
% 1.31/1.46 (((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.31/1.46 inference(rewrite,[status(thm)],[])).
% 1.31/1.46 tff(1667,plain,
% 1.31/1.46 (((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.31/1.46 inference(rewrite,[status(thm)],[])).
% 1.31/1.46 tff(1668,plain,
% 1.31/1.46 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.31/1.47 inference(monotonicity,[status(thm)],[1667, 1666, 1649])).
% 1.31/1.47 tff(1669,plain,
% 1.31/1.47 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.31/1.47 inference(transitivity,[status(thm)],[1668, 1665])).
% 1.31/1.47 tff(1670,plain,
% 1.31/1.47 (($false | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | $false | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | $false | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1671,plain,
% 1.31/1.48 (((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1672,plain,
% 1.31/1.48 (($true | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) <=> $true),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1673,plain,
% 1.31/1.48 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) <=> ($true | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[815])).
% 1.31/1.48 tff(1674,plain,
% 1.31/1.48 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1673, 1672])).
% 1.31/1.48 tff(1675,plain,
% 1.31/1.48 (((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[1674])).
% 1.31/1.48 tff(1676,plain,
% 1.31/1.48 (((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.31/1.48 inference(transitivity,[status(thm)],[1675, 1671])).
% 1.31/1.48 tff(1677,plain,
% 1.31/1.48 (((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & $true & $true & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))))),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1678,plain,
% 1.31/1.48 ((~(op1(e12, op1(e12, op1(e12, e12))) = e12)) <=> (~$false)),
% 1.31/1.48 inference(monotonicity,[status(thm)],[829])).
% 1.31/1.48 tff(1679,plain,
% 1.31/1.48 ((~(op1(e12, op1(e12, op1(e12, e12))) = e12)) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1678, 135])).
% 1.31/1.48 tff(1680,plain,
% 1.31/1.48 (((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) <=> ($true | $true)),
% 1.31/1.48 inference(monotonicity,[status(thm)],[837, 1679])).
% 1.31/1.48 tff(1681,plain,
% 1.31/1.48 (((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1680, 134])).
% 1.31/1.48 tff(1682,plain,
% 1.31/1.48 (($true | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) <=> $true),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1683,plain,
% 1.31/1.48 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) <=> (~$false)),
% 1.31/1.48 inference(monotonicity,[status(thm)],[846])).
% 1.31/1.48 tff(1684,plain,
% 1.31/1.48 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1683, 135])).
% 1.31/1.48 tff(1685,plain,
% 1.31/1.48 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) <=> ($true | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[1684])).
% 1.31/1.48 tff(1686,plain,
% 1.31/1.48 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1685, 1682])).
% 1.31/1.48 tff(1687,plain,
% 1.31/1.48 (((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & $true & $true & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[1686, 1681])).
% 1.31/1.48 tff(1688,plain,
% 1.31/1.48 (((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))))),
% 1.31/1.48 inference(transitivity,[status(thm)],[1687, 1677])).
% 1.31/1.48 tff(1689,plain,
% 1.31/1.48 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1690,plain,
% 1.31/1.48 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[1674])).
% 1.31/1.48 tff(1691,plain,
% 1.31/1.48 (((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.31/1.48 inference(transitivity,[status(thm)],[1690, 1689])).
% 1.31/1.48 tff(1692,plain,
% 1.31/1.48 (($false & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & $true & $true & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) <=> $false),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1693,plain,
% 1.31/1.48 (((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) <=> ($false & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & $true & $true & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[829, 1686, 837])).
% 1.31/1.48 tff(1694,plain,
% 1.31/1.48 (((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) <=> $false),
% 1.31/1.48 inference(transitivity,[status(thm)],[1693, 1692])).
% 1.31/1.48 tff(1695,plain,
% 1.31/1.48 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & $true & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1696,plain,
% 1.31/1.48 ((~(op1(e12, op1(e12, e12)) = e12)) <=> (~$false)),
% 1.31/1.48 inference(monotonicity,[status(thm)],[859])).
% 1.31/1.48 tff(1697,plain,
% 1.31/1.48 ((~(op1(e12, op1(e12, e12)) = e12)) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1696, 135])).
% 1.31/1.48 tff(1698,plain,
% 1.31/1.48 (($true | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> $true),
% 1.31/1.48 inference(rewrite,[status(thm)],[])).
% 1.31/1.48 tff(1699,plain,
% 1.31/1.48 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> (~$false)),
% 1.31/1.48 inference(monotonicity,[status(thm)],[866])).
% 1.31/1.48 tff(1700,plain,
% 1.31/1.48 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> $true),
% 1.31/1.48 inference(transitivity,[status(thm)],[1699, 135])).
% 1.31/1.48 tff(1701,plain,
% 1.31/1.48 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> ($true | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[1700])).
% 1.31/1.48 tff(1702,plain,
% 1.31/1.48 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) <=> $true),
% 1.34/1.49 inference(transitivity,[status(thm)],[1701, 1698])).
% 1.34/1.49 tff(1703,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & $true & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[1702, 1697])).
% 1.34/1.49 tff(1704,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.34/1.49 inference(transitivity,[status(thm)],[1703, 1695])).
% 1.34/1.49 tff(1705,plain,
% 1.34/1.49 (($false & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & $true & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> $false),
% 1.34/1.49 inference(rewrite,[status(thm)],[])).
% 1.34/1.49 tff(1706,plain,
% 1.34/1.49 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) <=> ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.34/1.49 inference(rewrite,[status(thm)],[])).
% 1.34/1.49 tff(1707,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> ($false & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & $true & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[866, 1706, 1697])).
% 1.34/1.49 tff(1708,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> $false),
% 1.34/1.49 inference(transitivity,[status(thm)],[1707, 1705])).
% 1.34/1.49 tff(1709,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.34/1.49 inference(rewrite,[status(thm)],[])).
% 1.34/1.49 tff(1710,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & $true & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[815])).
% 1.34/1.49 tff(1711,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.34/1.49 inference(transitivity,[status(thm)],[1710, 1709])).
% 1.34/1.49 tff(1712,plain,
% 1.34/1.49 (($false & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & $true & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) <=> $false),
% 1.34/1.49 inference(rewrite,[status(thm)],[])).
% 1.34/1.49 tff(1713,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) <=> ($false & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & $true & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.34/1.49 inference(monotonicity,[status(thm)],[846, 1681])).
% 1.34/1.49 tff(1714,plain,
% 1.34/1.49 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) <=> $false),
% 1.34/1.49 inference(transitivity,[status(thm)],[1713, 1712])).
% 1.34/1.49 tff(1715,plain,
% 1.34/1.49 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> ($false | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | $false | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | $false | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.34/1.50 inference(monotonicity,[status(thm)],[1714, 1711, 1667, 1708, 1666, 1704, 1694, 1691, 1688, 1676, 1649])).
% 1.34/1.50 tff(1716,plain,
% 1.34/1.50 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.34/1.51 inference(transitivity,[status(thm)],[1715, 1670])).
% 1.34/1.51 tff(1717,plain,
% 1.34/1.51 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1718,plain,
% 1.34/1.52 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.34/1.52 inference(rewrite,[status(thm)],[])).
% 1.34/1.52 tff(1719,plain,
% 1.34/1.52 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.38/1.53 inference(monotonicity,[status(thm)],[1667, 1718, 1666, 1649])).
% 1.38/1.53 tff(1720,plain,
% 1.38/1.53 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.38/1.53 inference(transitivity,[status(thm)],[1719, 1717])).
% 1.38/1.53 tff(1721,plain,
% 1.38/1.53 ((((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | $false | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1722,plain,
% 1.40/1.54 (((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12))) <=> ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1723,plain,
% 1.40/1.54 (((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.40/1.54 inference(rewrite,[status(thm)],[])).
% 1.40/1.54 tff(1724,plain,
% 1.40/1.54 (((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1725,plain,
% 1.40/1.55 (((op1(e12, op1(e12, e12)) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & $false & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) <=> $false),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1726,plain,
% 1.40/1.55 ((~(op1(e13, e13) = e13)) <=> (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1727,plain,
% 1.40/1.55 ((op1(e12, e12) = op1(e12, e12)) <=> $true),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1728,plain,
% 1.40/1.55 ((e13 = op1(e12, e12)) <=> (e13 = op1(e12, e12))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1729,axiom,(((e10 = op1(e12, op1(e12, e12))) & (e11 = op1(e12, op1(e12, op1(e12, e12))))) & (e13 = op1(e12, e12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax12')).
% 1.40/1.55 tff(1730,plain,
% 1.40/1.55 (e13 = op1(e12, e12)),
% 1.40/1.55 inference(and_elim,[status(thm)],[1729])).
% 1.40/1.55 tff(1731,plain,
% 1.40/1.55 (e13 = op1(e12, e12)),
% 1.40/1.55 inference(modus_ponens,[status(thm)],[1730, 1728])).
% 1.40/1.55 tff(1732,plain,
% 1.40/1.55 ((op1(e12, e12) = e13) <=> (op1(e12, e12) = op1(e12, e12))),
% 1.40/1.55 inference(monotonicity,[status(thm)],[1731])).
% 1.40/1.55 tff(1733,plain,
% 1.40/1.55 ((op1(e12, e12) = e13) <=> $true),
% 1.40/1.55 inference(transitivity,[status(thm)],[1732, 1727])).
% 1.40/1.55 tff(1734,plain,
% 1.40/1.55 ((~(op1(e12, e12) = e13)) <=> (~$true)),
% 1.40/1.55 inference(monotonicity,[status(thm)],[1733])).
% 1.40/1.55 tff(1735,plain,
% 1.40/1.55 ((~(op1(e12, e12) = e13)) <=> $false),
% 1.40/1.55 inference(transitivity,[status(thm)],[1734, 258])).
% 1.40/1.55 tff(1736,plain,
% 1.40/1.55 ((~(op1(e11, e13) = e11)) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1737,plain,
% 1.40/1.55 ((~(op1(e11, e11) = e13)) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1738,plain,
% 1.40/1.55 (((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) <=> ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.40/1.55 inference(monotonicity,[status(thm)],[1737, 1736])).
% 1.40/1.55 tff(1739,plain,
% 1.40/1.55 (((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) <=> ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))),
% 1.40/1.55 inference(transitivity,[status(thm)],[1738, 1706])).
% 1.40/1.55 tff(1740,plain,
% 1.40/1.55 (((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))) <=> ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1741,plain,
% 1.40/1.55 ((~(op1(e10, e13) = e10)) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1742,plain,
% 1.40/1.55 ((~(op1(e10, e10) = e13)) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1743,plain,
% 1.40/1.55 (((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) <=> ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))))),
% 1.40/1.55 inference(monotonicity,[status(thm)],[1742, 1741])).
% 1.40/1.55 tff(1744,plain,
% 1.40/1.55 (((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) <=> ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 1.40/1.55 inference(transitivity,[status(thm)],[1743, 1740])).
% 1.40/1.55 tff(1745,plain,
% 1.40/1.55 ((op1(e12, e13) = e12) <=> (op1(e12, op1(e12, e12)) = e12)),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1746,plain,
% 1.40/1.55 (((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) <=> ((op1(e12, op1(e12, e12)) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & $false & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.40/1.55 inference(monotonicity,[status(thm)],[1745, 1744, 1739, 1735, 1726])).
% 1.40/1.55 tff(1747,plain,
% 1.40/1.55 (((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) <=> $false),
% 1.40/1.55 inference(transitivity,[status(thm)],[1746, 1725])).
% 1.40/1.55 tff(1748,plain,
% 1.40/1.55 (((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1749,plain,
% 1.40/1.55 (((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1750,plain,
% 1.40/1.55 (((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1751,plain,
% 1.40/1.55 (((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1752,plain,
% 1.40/1.55 (((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1753,plain,
% 1.40/1.55 (((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1754,plain,
% 1.40/1.55 (((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1755,plain,
% 1.40/1.55 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.40/1.55 inference(rewrite,[status(thm)],[])).
% 1.40/1.55 tff(1756,plain,
% 1.40/1.55 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | $false | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.40/1.56 inference(monotonicity,[status(thm)],[1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1724, 1723, 1722])).
% 1.40/1.56 tff(1757,plain,
% 1.40/1.56 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))) <=> (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12))))),
% 1.40/1.56 inference(transitivity,[status(thm)],[1756, 1721])).
% 1.40/1.56 tff(1758,plain,
% 1.40/1.56 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12))))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1759,plain,
% 1.40/1.57 (((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) <=> ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1760,plain,
% 1.40/1.57 (((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11)))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[1759])).
% 1.40/1.57 tff(1761,plain,
% 1.40/1.57 (((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) <=> ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1762,plain,
% 1.40/1.57 (((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) <=> ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1763,plain,
% 1.40/1.57 (((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10)))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[1762, 1761])).
% 1.40/1.57 tff(1764,plain,
% 1.40/1.57 (((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))) <=> ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1765,plain,
% 1.40/1.57 (((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[1764])).
% 1.40/1.57 tff(1766,plain,
% 1.40/1.57 (((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1767,plain,
% 1.40/1.57 (((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))) <=> ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1768,plain,
% 1.40/1.57 (((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[1767])).
% 1.40/1.57 tff(1769,plain,
% 1.40/1.57 (((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1770,plain,
% 1.40/1.57 (((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1771,plain,
% 1.40/1.57 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(1772,plain,
% 1.40/1.57 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12))))),
% 1.40/1.58 inference(monotonicity,[status(thm)],[1771, 1770, 1769, 1768, 1766, 1765, 1763, 1760])).
% 1.40/1.58 tff(1773,plain,
% 1.40/1.58 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12))))),
% 1.40/1.58 inference(transitivity,[status(thm)],[1772, 1758])).
% 1.40/1.58 tff(1774,plain,
% 1.40/1.58 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12))))),
% 1.40/1.58 inference(rewrite,[status(thm)],[])).
% 1.40/1.58 tff(1775,plain,
% 1.40/1.58 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.40/1.59 inference(rewrite,[status(thm)],[])).
% 1.40/1.59 tff(1776,plain,
% 1.40/1.59 (((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.59 inference(monotonicity,[status(thm)],[1767])).
% 1.40/1.59 tff(1777,plain,
% 1.40/1.59 (((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.59 inference(monotonicity,[status(thm)],[1759, 1764])).
% 1.40/1.59 tff(1778,plain,
% 1.40/1.59 (((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))) <=> ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))),
% 1.40/1.59 inference(rewrite,[status(thm)],[])).
% 1.40/1.59 tff(1779,plain,
% 1.40/1.59 (((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.40/1.59 inference(monotonicity,[status(thm)],[1762, 1761, 1778])).
% 1.40/1.59 tff(1780,plain,
% 1.40/1.59 (((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.59 inference(monotonicity,[status(thm)],[1759, 1764])).
% 1.40/1.59 tff(1781,plain,
% 1.40/1.59 (((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.40/1.59 inference(monotonicity,[status(thm)],[1762, 1761, 1778])).
% 1.40/1.59 tff(1782,plain,
% 1.40/1.59 (((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.59 inference(monotonicity,[status(thm)],[1767])).
% 1.40/1.59 tff(1783,plain,
% 1.40/1.59 (((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.59 inference(rewrite,[status(thm)],[])).
% 1.40/1.59 tff(1784,plain,
% 1.40/1.59 (((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.59 inference(rewrite,[status(thm)],[])).
% 1.40/1.59 tff(1785,plain,
% 1.40/1.59 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.40/1.59 inference(rewrite,[status(thm)],[])).
% 1.40/1.59 tff(1786,plain,
% 1.40/1.59 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.40/1.60 inference(monotonicity,[status(thm)],[1785, 1784, 1783, 1782, 1781, 1780, 1779, 1777, 1776])).
% 1.40/1.60 tff(1787,plain,
% 1.40/1.60 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.40/1.60 inference(transitivity,[status(thm)],[1786, 1775])).
% 1.40/1.60 tff(1788,plain,
% 1.40/1.60 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | $false) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.40/1.60 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1789,plain,
% 1.40/1.61 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13))) <=> $false),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1790,plain,
% 1.40/1.61 (((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))) <=> (~(op1(e13, e13) = e13))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1791,plain,
% 1.40/1.61 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1792,plain,
% 1.40/1.61 ((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1793,plain,
% 1.40/1.61 (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.40/1.61 inference(monotonicity,[status(thm)],[1792])).
% 1.40/1.61 tff(1794,plain,
% 1.40/1.61 (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.40/1.61 inference(transitivity,[status(thm)],[1793, 1791])).
% 1.40/1.61 tff(1795,plain,
% 1.40/1.61 ((((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> (((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13)))),
% 1.40/1.61 inference(monotonicity,[status(thm)],[1794, 1790])).
% 1.40/1.61 tff(1796,plain,
% 1.40/1.61 ((((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> $false),
% 1.40/1.61 inference(transitivity,[status(thm)],[1795, 1789])).
% 1.40/1.61 tff(1797,plain,
% 1.40/1.61 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1798,plain,
% 1.40/1.61 ((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1799,plain,
% 1.40/1.61 ((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & (~(op1(e12, e12) = e12))) <=> ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1800,plain,
% 1.40/1.61 (((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12))) <=> (~(op1(e12, e12) = e12))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1801,plain,
% 1.40/1.61 ((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) <=> ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))))),
% 1.40/1.61 inference(rewrite,[status(thm)],[])).
% 1.40/1.61 tff(1802,plain,
% 1.40/1.61 (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) <=> (((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & (~(op1(e12, e12) = e12)))),
% 1.40/1.61 inference(monotonicity,[status(thm)],[1801, 1800])).
% 1.40/1.61 tff(1803,plain,
% 1.40/1.61 (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) <=> ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)))),
% 1.40/1.61 inference(transitivity,[status(thm)],[1802, 1799])).
% 1.40/1.61 tff(1804,plain,
% 1.40/1.61 ((((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> (((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.61 inference(monotonicity,[status(thm)],[1803, 1767])).
% 1.40/1.61 tff(1805,plain,
% 1.40/1.61 ((((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.40/1.61 inference(transitivity,[status(thm)],[1804, 1798])).
% 1.40/1.61 tff(1806,plain,
% 1.40/1.61 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.40/1.62 inference(rewrite,[status(thm)],[])).
% 1.40/1.62 tff(1807,plain,
% 1.40/1.62 ((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.62 inference(rewrite,[status(thm)],[])).
% 1.40/1.62 tff(1808,plain,
% 1.40/1.62 ((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.40/1.62 inference(rewrite,[status(thm)],[])).
% 1.40/1.62 tff(1809,plain,
% 1.40/1.62 ((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & (~(op1(e11, e11) = e11))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)))),
% 1.40/1.62 inference(rewrite,[status(thm)],[])).
% 1.40/1.62 tff(1810,plain,
% 1.40/1.62 (((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11))) <=> (~(op1(e11, e11) = e11))),
% 1.40/1.62 inference(rewrite,[status(thm)],[])).
% 1.40/1.62 tff(1811,plain,
% 1.40/1.62 ((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) <=> (((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & (~(op1(e11, e11) = e11)))),
% 1.40/1.62 inference(monotonicity,[status(thm)],[1810])).
% 1.40/1.62 tff(1812,plain,
% 1.40/1.62 ((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)))),
% 1.40/1.62 inference(transitivity,[status(thm)],[1811, 1809])).
% 1.40/1.62 tff(1813,plain,
% 1.40/1.62 (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> (((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.40/1.62 inference(monotonicity,[status(thm)],[1812, 1759])).
% 1.40/1.62 tff(1814,plain,
% 1.40/1.62 (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.40/1.62 inference(transitivity,[status(thm)],[1813, 1808])).
% 1.40/1.62 tff(1815,plain,
% 1.40/1.62 ((((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> (((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.40/1.62 inference(monotonicity,[status(thm)],[1814, 1764])).
% 1.40/1.62 tff(1816,plain,
% 1.40/1.62 ((((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.48/1.62 inference(transitivity,[status(thm)],[1815, 1807])).
% 1.48/1.62 tff(1817,plain,
% 1.48/1.62 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1818,plain,
% 1.48/1.63 ((((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1819,plain,
% 1.48/1.63 ((((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1820,plain,
% 1.48/1.63 ((((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1821,plain,
% 1.48/1.63 (((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1822,plain,
% 1.48/1.63 ((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> (((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.63 inference(monotonicity,[status(thm)],[1821, 1762])).
% 1.48/1.63 tff(1823,plain,
% 1.48/1.63 ((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.63 inference(transitivity,[status(thm)],[1822, 1820])).
% 1.48/1.63 tff(1824,plain,
% 1.48/1.63 (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> (((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.63 inference(monotonicity,[status(thm)],[1823, 1761])).
% 1.48/1.63 tff(1825,plain,
% 1.48/1.63 (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.63 inference(transitivity,[status(thm)],[1824, 1819])).
% 1.48/1.63 tff(1826,plain,
% 1.48/1.63 ((((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> (((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.63 inference(monotonicity,[status(thm)],[1825, 1778])).
% 1.48/1.63 tff(1827,plain,
% 1.48/1.63 ((((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.63 inference(transitivity,[status(thm)],[1826, 1818])).
% 1.48/1.63 tff(1828,plain,
% 1.48/1.63 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1829,plain,
% 1.48/1.63 ((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13))) <=> ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1830,plain,
% 1.48/1.63 ((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1831,plain,
% 1.48/1.63 ((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) <=> ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))))),
% 1.48/1.63 inference(rewrite,[status(thm)],[])).
% 1.48/1.63 tff(1832,plain,
% 1.48/1.63 (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> (((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.63 inference(monotonicity,[status(thm)],[1831])).
% 1.48/1.63 tff(1833,plain,
% 1.48/1.63 (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.63 inference(transitivity,[status(thm)],[1832, 1830])).
% 1.48/1.63 tff(1834,plain,
% 1.48/1.63 ((((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> (((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.63 inference(monotonicity,[status(thm)],[1833, 1790])).
% 1.48/1.63 tff(1835,plain,
% 1.48/1.63 ((((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.63 inference(transitivity,[status(thm)],[1834, 1829])).
% 1.48/1.63 tff(1836,plain,
% 1.48/1.63 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | $false) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1837,plain,
% 1.48/1.64 (($false & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> $false),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1838,plain,
% 1.48/1.64 ((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & (~(op1(e12, e12) = e12))) <=> $false),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1839,plain,
% 1.48/1.64 ((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) <=> ((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))))),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1840,plain,
% 1.48/1.64 (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) <=> (((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & (~(op1(e12, e12) = e12)))),
% 1.48/1.64 inference(monotonicity,[status(thm)],[1839, 1800])).
% 1.48/1.64 tff(1841,plain,
% 1.48/1.64 (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) <=> $false),
% 1.48/1.64 inference(transitivity,[status(thm)],[1840, 1838])).
% 1.48/1.64 tff(1842,plain,
% 1.48/1.64 ((((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ($false & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.48/1.64 inference(monotonicity,[status(thm)],[1841, 1767])).
% 1.48/1.64 tff(1843,plain,
% 1.48/1.64 ((((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> $false),
% 1.48/1.64 inference(transitivity,[status(thm)],[1842, 1837])).
% 1.48/1.64 tff(1844,plain,
% 1.48/1.64 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1845,plain,
% 1.48/1.64 ((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1846,plain,
% 1.48/1.64 ((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1847,plain,
% 1.48/1.64 ((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & (~(op1(e11, e11) = e11))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)))),
% 1.48/1.64 inference(rewrite,[status(thm)],[])).
% 1.48/1.64 tff(1848,plain,
% 1.48/1.64 ((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) <=> (((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & (~(op1(e11, e11) = e11)))),
% 1.48/1.64 inference(monotonicity,[status(thm)],[1810])).
% 1.48/1.64 tff(1849,plain,
% 1.48/1.64 ((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)))),
% 1.48/1.64 inference(transitivity,[status(thm)],[1848, 1847])).
% 1.48/1.64 tff(1850,plain,
% 1.48/1.64 (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> (((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.48/1.64 inference(monotonicity,[status(thm)],[1849, 1759])).
% 1.48/1.64 tff(1851,plain,
% 1.48/1.64 (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.48/1.64 inference(transitivity,[status(thm)],[1850, 1846])).
% 1.48/1.64 tff(1852,plain,
% 1.48/1.64 ((((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> (((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.48/1.65 inference(monotonicity,[status(thm)],[1851, 1764])).
% 1.48/1.65 tff(1853,plain,
% 1.48/1.65 ((((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.48/1.65 inference(transitivity,[status(thm)],[1852, 1845])).
% 1.48/1.65 tff(1854,plain,
% 1.48/1.65 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1855,plain,
% 1.48/1.65 ((((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1856,plain,
% 1.48/1.65 ((((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1857,plain,
% 1.48/1.65 ((((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1858,plain,
% 1.48/1.65 (((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1859,plain,
% 1.48/1.65 ((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> (((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.65 inference(monotonicity,[status(thm)],[1858, 1762])).
% 1.48/1.65 tff(1860,plain,
% 1.48/1.65 ((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.65 inference(transitivity,[status(thm)],[1859, 1857])).
% 1.48/1.65 tff(1861,plain,
% 1.48/1.65 (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> (((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.65 inference(monotonicity,[status(thm)],[1860, 1761])).
% 1.48/1.65 tff(1862,plain,
% 1.48/1.65 (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.65 inference(transitivity,[status(thm)],[1861, 1856])).
% 1.48/1.65 tff(1863,plain,
% 1.48/1.65 ((((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> (((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.65 inference(monotonicity,[status(thm)],[1862, 1778])).
% 1.48/1.65 tff(1864,plain,
% 1.48/1.65 ((((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.65 inference(transitivity,[status(thm)],[1863, 1855])).
% 1.48/1.65 tff(1865,plain,
% 1.48/1.65 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1866,plain,
% 1.48/1.65 ((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13))) <=> ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1867,plain,
% 1.48/1.65 ((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1868,plain,
% 1.48/1.65 ((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) <=> ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))))),
% 1.48/1.65 inference(rewrite,[status(thm)],[])).
% 1.48/1.65 tff(1869,plain,
% 1.48/1.65 (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> (((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.65 inference(monotonicity,[status(thm)],[1868])).
% 1.48/1.65 tff(1870,plain,
% 1.48/1.65 (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.65 inference(transitivity,[status(thm)],[1869, 1867])).
% 1.48/1.65 tff(1871,plain,
% 1.48/1.65 ((((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> (((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.65 inference(monotonicity,[status(thm)],[1870, 1790])).
% 1.48/1.65 tff(1872,plain,
% 1.48/1.65 ((((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.65 inference(transitivity,[status(thm)],[1871, 1866])).
% 1.48/1.65 tff(1873,plain,
% 1.48/1.65 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1874,plain,
% 1.48/1.66 ((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1875,plain,
% 1.48/1.66 ((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & (~(op1(e12, e12) = e12))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1876,plain,
% 1.48/1.66 ((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1877,plain,
% 1.48/1.66 (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) <=> (((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & (~(op1(e12, e12) = e12)))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1876, 1800])).
% 1.48/1.66 tff(1878,plain,
% 1.48/1.66 (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)))),
% 1.48/1.66 inference(transitivity,[status(thm)],[1877, 1875])).
% 1.48/1.66 tff(1879,plain,
% 1.48/1.66 ((((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> (((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1878, 1767])).
% 1.48/1.66 tff(1880,plain,
% 1.48/1.66 ((((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) <=> ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.48/1.66 inference(transitivity,[status(thm)],[1879, 1874])).
% 1.48/1.66 tff(1881,plain,
% 1.48/1.66 (((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | $false) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1882,plain,
% 1.48/1.66 (($false & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> $false),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1883,plain,
% 1.48/1.66 (($false & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> $false),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1884,plain,
% 1.48/1.66 ((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & (~(op1(e11, e11) = e11))) <=> $false),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1885,plain,
% 1.48/1.66 ((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) <=> (((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & (~(op1(e11, e11) = e11)))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1810])).
% 1.48/1.66 tff(1886,plain,
% 1.48/1.66 ((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) <=> $false),
% 1.48/1.66 inference(transitivity,[status(thm)],[1885, 1884])).
% 1.48/1.66 tff(1887,plain,
% 1.48/1.66 (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> ($false & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1886, 1759])).
% 1.48/1.66 tff(1888,plain,
% 1.48/1.66 (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) <=> $false),
% 1.48/1.66 inference(transitivity,[status(thm)],[1887, 1883])).
% 1.48/1.66 tff(1889,plain,
% 1.48/1.66 ((((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> ($false & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1888, 1764])).
% 1.48/1.66 tff(1890,plain,
% 1.48/1.66 ((((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) <=> $false),
% 1.48/1.66 inference(transitivity,[status(thm)],[1889, 1882])).
% 1.48/1.66 tff(1891,plain,
% 1.48/1.66 (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1892,plain,
% 1.48/1.66 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1893,plain,
% 1.48/1.66 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1894,plain,
% 1.48/1.66 ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1895,plain,
% 1.48/1.66 (((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)))),
% 1.48/1.66 inference(rewrite,[status(thm)],[])).
% 1.48/1.66 tff(1896,plain,
% 1.48/1.66 ((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1895, 1762])).
% 1.48/1.66 tff(1897,plain,
% 1.48/1.66 ((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))))),
% 1.48/1.66 inference(transitivity,[status(thm)],[1896, 1894])).
% 1.48/1.66 tff(1898,plain,
% 1.48/1.66 (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.66 inference(monotonicity,[status(thm)],[1897, 1761])).
% 1.48/1.66 tff(1899,plain,
% 1.48/1.66 (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))))),
% 1.48/1.67 inference(transitivity,[status(thm)],[1898, 1893])).
% 1.48/1.67 tff(1900,plain,
% 1.48/1.67 ((((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.67 inference(monotonicity,[status(thm)],[1899, 1778])).
% 1.48/1.67 tff(1901,plain,
% 1.48/1.67 ((((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) <=> ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))),
% 1.48/1.67 inference(transitivity,[status(thm)],[1900, 1892])).
% 1.48/1.67 tff(1902,plain,
% 1.48/1.67 (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) <=> (((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.67 inference(rewrite,[status(thm)],[])).
% 1.48/1.67 tff(1903,plain,
% 1.48/1.67 ((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13))) <=> ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.67 inference(rewrite,[status(thm)],[])).
% 1.48/1.67 tff(1904,plain,
% 1.48/1.67 ((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.67 inference(rewrite,[status(thm)],[])).
% 1.48/1.67 tff(1905,plain,
% 1.48/1.67 ((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) <=> ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))))),
% 1.48/1.67 inference(rewrite,[status(thm)],[])).
% 1.48/1.67 tff(1906,plain,
% 1.48/1.67 (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> (((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.67 inference(monotonicity,[status(thm)],[1905])).
% 1.48/1.67 tff(1907,plain,
% 1.48/1.67 (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) <=> ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))))),
% 1.48/1.67 inference(transitivity,[status(thm)],[1906, 1904])).
% 1.48/1.67 tff(1908,plain,
% 1.48/1.67 ((((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> (((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.67 inference(monotonicity,[status(thm)],[1907, 1790])).
% 1.48/1.67 tff(1909,plain,
% 1.48/1.67 ((((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13)))) <=> ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))),
% 1.48/1.67 inference(transitivity,[status(thm)],[1908, 1903])).
% 1.48/1.67 tff(1910,plain,
% 1.48/1.67 ((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.48/1.67 inference(rewrite,[status(thm)],[])).
% 1.48/1.67 tff(1911,plain,
% 1.48/1.67 (((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> ((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.67 inference(monotonicity,[status(thm)],[1910, 1909])).
% 1.48/1.67 tff(1912,plain,
% 1.48/1.67 (((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> (((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.67 inference(transitivity,[status(thm)],[1911, 1902])).
% 1.48/1.67 tff(1913,plain,
% 1.48/1.67 ((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> ((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.48/1.68 inference(monotonicity,[status(thm)],[1912, 1901])).
% 1.48/1.68 tff(1914,plain,
% 1.48/1.68 ((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.48/1.68 inference(transitivity,[status(thm)],[1913, 1891])).
% 1.48/1.68 tff(1915,plain,
% 1.48/1.68 (((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | $false)),
% 1.54/1.68 inference(monotonicity,[status(thm)],[1914, 1890])).
% 1.54/1.68 tff(1916,plain,
% 1.54/1.68 (((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.54/1.68 inference(transitivity,[status(thm)],[1915, 1881])).
% 1.54/1.68 tff(1917,plain,
% 1.54/1.68 ((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.54/1.68 inference(monotonicity,[status(thm)],[1916, 1880])).
% 1.54/1.68 tff(1918,plain,
% 1.54/1.68 ((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.54/1.69 inference(transitivity,[status(thm)],[1917, 1873])).
% 1.54/1.69 tff(1919,plain,
% 1.54/1.69 (((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.54/1.69 inference(monotonicity,[status(thm)],[1918, 1872])).
% 1.54/1.69 tff(1920,plain,
% 1.54/1.69 (((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.54/1.69 inference(transitivity,[status(thm)],[1919, 1865])).
% 1.54/1.69 tff(1921,plain,
% 1.54/1.69 ((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.54/1.70 inference(monotonicity,[status(thm)],[1920, 1864])).
% 1.54/1.70 tff(1922,plain,
% 1.54/1.70 ((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.54/1.70 inference(transitivity,[status(thm)],[1921, 1854])).
% 1.54/1.70 tff(1923,plain,
% 1.54/1.70 (((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.54/1.70 inference(monotonicity,[status(thm)],[1922, 1853])).
% 1.54/1.70 tff(1924,plain,
% 1.54/1.70 (((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.54/1.71 inference(transitivity,[status(thm)],[1923, 1844])).
% 1.54/1.71 tff(1925,plain,
% 1.54/1.71 ((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | $false)),
% 1.54/1.71 inference(monotonicity,[status(thm)],[1924, 1843])).
% 1.54/1.71 tff(1926,plain,
% 1.54/1.71 ((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.54/1.71 inference(transitivity,[status(thm)],[1925, 1836])).
% 1.54/1.71 tff(1927,plain,
% 1.54/1.71 (((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.54/1.72 inference(monotonicity,[status(thm)],[1926, 1835])).
% 1.54/1.72 tff(1928,plain,
% 1.54/1.72 (((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))))),
% 1.54/1.73 inference(transitivity,[status(thm)],[1927, 1828])).
% 1.54/1.73 tff(1929,plain,
% 1.54/1.73 ((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13)))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.54/1.73 inference(monotonicity,[status(thm)],[1928, 1827])).
% 1.54/1.73 tff(1930,plain,
% 1.54/1.73 ((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))))),
% 1.54/1.73 inference(transitivity,[status(thm)],[1929, 1817])).
% 1.54/1.73 tff(1931,plain,
% 1.54/1.73 (((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.54/1.74 inference(monotonicity,[status(thm)],[1930, 1816])).
% 1.54/1.74 tff(1932,plain,
% 1.54/1.74 (((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))))),
% 1.54/1.74 inference(transitivity,[status(thm)],[1931, 1806])).
% 1.54/1.74 tff(1933,plain,
% 1.54/1.74 ((((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.54/1.75 inference(monotonicity,[status(thm)],[1932, 1805])).
% 1.54/1.75 tff(1934,plain,
% 1.54/1.75 ((((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.54/1.75 inference(transitivity,[status(thm)],[1933, 1797])).
% 1.54/1.75 tff(1935,plain,
% 1.54/1.75 (((((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> ((((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | $false)),
% 1.54/1.76 inference(monotonicity,[status(thm)],[1934, 1796])).
% 1.54/1.76 tff(1936,plain,
% 1.54/1.76 (((((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) <=> (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))))),
% 1.54/1.76 inference(transitivity,[status(thm)],[1935, 1788])).
% 1.54/1.76 tff(1937,plain,
% 1.54/1.76 ((((((((((((((((((((op1(e10, e10) = e10) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | (((((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e11, e10) = e11) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e11, e11) = e11) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e12, e10) = e12) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e12, e12) = e12) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))) | (((((op1(e13, e10) = e13) & ((~(op1(e10, e10) = e10)) | (~(op1(e10, e10) = e10)))) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11)))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12)))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13))))) | (((((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10)))) & ((~(op1(e11, e11) = e11)) | (~(op1(e11, e11) = e11)))) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12)))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13))))) | (((((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10)))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11)))) & ((~(op1(e12, e12) = e12)) | (~(op1(e12, e12) = e12)))) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))) | (((((op1(e13, e13) = e13) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10)))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11)))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12)))) & ((~(op1(e13, e13) = e13)) | (~(op1(e13, e13) = e13))))),
% 1.54/1.77 inference(and_elim,[status(thm)],[904])).
% 1.54/1.77 tff(1938,plain,
% 1.54/1.77 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.63/1.77 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 1.63/1.77 tff(1939,plain,
% 1.63/1.77 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13))))),
% 1.63/1.77 inference(modus_ponens,[status(thm)],[1938, 1787])).
% 1.63/1.77 tff(1940,plain,
% 1.63/1.77 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))),
% 1.63/1.78 inference(modus_ponens,[status(thm)],[1939, 1774])).
% 1.63/1.78 tff(1941,plain,
% 1.63/1.78 (((op1(e11, e10) = e11) & (~(op1(e10, e10) = e10)) & (~(op1(e11, e11) = e10)) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e10, e11) = e10) & (~(op1(e10, e10) = e11)) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e10, e12) = e10) & (~(op1(e10, e10) = e12)) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e10, e13) = e10) & (~(op1(e10, e10) = e13)) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e11, e12) = e11) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & (~(op1(e11, e11) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(e13, e13) = e12)) | (~(op1(e13, e12) = e13)))) | ((op1(e11, e13) = e11) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & (~(op1(e11, e11) = e13)) & ((~(op1(e12, e12) = e13)) | (~(op1(e12, e13) = e12))) & (~(op1(e13, e13) = e13))) | ((op1(e12, e10) = e12) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & (~(op1(e12, e12) = e10)) & ((~(op1(e13, e13) = e10)) | (~(op1(e13, e10) = e13)))) | ((op1(e12, e11) = e12) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & (~(op1(e12, e12) = e11)) & ((~(op1(e13, e13) = e11)) | (~(op1(e13, e11) = e13)))) | ((op1(e12, e13) = e12) & ((~(op1(e10, e10) = e13)) | (~(op1(e10, e13) = e10))) & ((~(op1(e11, e11) = e13)) | (~(op1(e11, e13) = e11))) & (~(op1(e12, e12) = e13)) & (~(op1(e13, e13) = e13))) | ((op1(e13, e10) = e13) & (~(op1(e10, e10) = e10)) & ((~(op1(e11, e11) = e10)) | (~(op1(e11, e10) = e11))) & ((~(op1(e12, e12) = e10)) | (~(op1(e12, e10) = e12))) & (~(op1(e13, e13) = e10))) | ((op1(e13, e11) = e13) & ((~(op1(e10, e10) = e11)) | (~(op1(e10, e11) = e10))) & (~(op1(e11, e11) = e11)) & ((~(op1(e12, e12) = e11)) | (~(op1(e12, e11) = e12))) & (~(op1(e13, e13) = e11))) | ((op1(e13, e12) = e13) & ((~(op1(e10, e10) = e12)) | (~(op1(e10, e12) = e10))) & ((~(op1(e11, e11) = e12)) | (~(op1(e11, e12) = e11))) & (~(op1(e12, e12) = e12)) & (~(op1(e13, e13) = e12)))),
% 1.63/1.78 inference(modus_ponens,[status(thm)],[1940, 1773])).
% 1.63/1.78 tff(1942,plain,
% 1.63/1.78 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1941, 1757])).
% 1.64/1.80 tff(1943,plain,
% 1.64/1.80 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(e12, op1(e12, e12)) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(e12, op1(e12, op1(e12, e12))) = e12) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, e12))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.64/1.80 inference(modus_ponens,[status(thm)],[1942, 1720])).
% 1.64/1.80 tff(1944,plain,
% 1.64/1.80 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.67/1.81 inference(modus_ponens,[status(thm)],[1943, 1716])).
% 1.67/1.81 tff(1945,plain,
% 1.67/1.81 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.67/1.82 inference(modus_ponens,[status(thm)],[1944, 1669])).
% 1.67/1.82 tff(1946,plain,
% 1.67/1.82 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.67/1.82 inference(modus_ponens,[status(thm)],[1945, 1669])).
% 1.67/1.82 tff(1947,plain,
% 1.67/1.82 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.68/1.83 inference(modus_ponens,[status(thm)],[1946, 1669])).
% 1.68/1.83 tff(1948,plain,
% 1.68/1.83 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[1947, 1669])).
% 1.68/1.84 tff(1949,plain,
% 1.68/1.84 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[1948, 1669])).
% 1.68/1.84 tff(1950,plain,
% 1.68/1.84 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[1949, 1669])).
% 1.68/1.84 tff(1951,plain,
% 1.68/1.84 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))) | ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) & (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))) | ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) & (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) & (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) & (~(op1(e12, e12) = e12)) & ((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | ((op1(op1(e12, e12), e12) = op1(e12, e12)) & ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))) & ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))) & (~(op1(e12, e12) = e12)) & (~(op1(op1(e12, e12), op1(e12, e12)) = e12)))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[1950, 1669])).
% 1.68/1.85 tff(1952,plain,
% 1.68/1.85 ((~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))) | (~((~(op1(op1(e12, e12), e12) = op1(e12, e12))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))) | (op1(e12, e12) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1951, 1664])).
% 1.68/1.86 tff(1953,plain,
% 1.68/1.86 ((~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))))) | (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))))) | (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1952, 1644])).
% 1.68/1.86 tff(1954,plain,
% 1.68/1.86 (~((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1953, 1634, 1622, 1621, 1619, 1617, 1615])).
% 1.68/1.86 tff(1955,plain,
% 1.68/1.86 (((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12))),
% 1.68/1.86 inference(tautology,[status(thm)],[])).
% 1.68/1.86 tff(1956,plain,
% 1.68/1.86 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1955, 1954])).
% 1.68/1.86 tff(1957,plain,
% 1.68/1.86 (((op1(e12, e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = e12)) | (~(op1(op1(e12, e12), e12) = op1(e12, e12))))) | (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12)) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.68/1.86 inference(tautology,[status(thm)],[])).
% 1.68/1.86 tff(1958,plain,
% 1.68/1.86 (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1957, 1954])).
% 1.68/1.86 tff(1959,plain,
% 1.68/1.86 ((op1(op1(e12, op1(e12, e12)), e12) = e12) <=> (op1(e12, op1(e12, e12)) = e12)),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1958])).
% 1.68/1.86 tff(1960,plain,
% 1.68/1.86 ((op1(e12, op1(e12, e12)) = e12) <=> (op1(op1(e12, op1(e12, e12)), e12) = e12)),
% 1.68/1.86 inference(symmetry,[status(thm)],[1959])).
% 1.68/1.86 tff(1961,plain,
% 1.68/1.86 ((~(op1(e12, op1(e12, e12)) = e12)) <=> (~(op1(op1(e12, op1(e12, e12)), e12) = e12))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1960])).
% 1.68/1.86 tff(1962,plain,
% 1.68/1.86 (~(op1(op1(e12, op1(e12, e12)), e12) = e12)),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[858, 1961])).
% 1.68/1.86 tff(1963,plain,
% 1.68/1.86 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.68/1.86 inference(monotonicity,[status(thm)],[983])).
% 1.68/1.86 tff(1964,plain,
% 1.68/1.86 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1963])).
% 1.68/1.86 tff(1965,plain,
% 1.68/1.86 ((~(op1(e10, e11) = op1(e12, e11))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1966,plain,
% 1.68/1.86 ((~(op1(e10, e11) = op1(e12, e11))) <=> (~(op1(e10, e11) = op1(e12, e11)))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1967,plain,
% 1.68/1.86 (~(op1(e10, e11) = op1(e12, e11))),
% 1.68/1.86 inference(and_elim,[status(thm)],[803])).
% 1.68/1.86 tff(1968,plain,
% 1.68/1.86 (~(op1(e10, e11) = op1(e12, e11))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 1.68/1.86 tff(1969,plain,
% 1.68/1.86 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1968, 1965])).
% 1.68/1.87 tff(1970,plain,
% 1.68/1.87 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1969, 1964])).
% 1.68/1.87 tff(1971,plain,
% 1.68/1.87 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1972,plain,
% 1.68/1.87 ((op1(e10, e13) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1973,plain,
% 1.68/1.87 ((op1(e10, e12) = e12) <=> (op1(op1(e12, op1(e12, e12)), e12) = e12)),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1974,plain,
% 1.68/1.87 ((op1(e10, e11) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1975,plain,
% 1.68/1.87 ((op1(e10, e10) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1976,plain,
% 1.68/1.87 (((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12))),
% 1.68/1.87 inference(monotonicity,[status(thm)],[1975, 1974, 1973, 1972])).
% 1.68/1.87 tff(1977,plain,
% 1.68/1.87 (((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12))),
% 1.68/1.87 inference(transitivity,[status(thm)],[1976, 1971])).
% 1.68/1.87 tff(1978,plain,
% 1.68/1.87 (((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1979,plain,
% 1.68/1.87 ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1980,plain,
% 1.68/1.87 ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1981,plain,
% 1.68/1.87 (((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12)) <=> (((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))),
% 1.68/1.87 inference(monotonicity,[status(thm)],[1980])).
% 1.68/1.87 tff(1982,plain,
% 1.68/1.87 (((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12))),
% 1.68/1.87 inference(transitivity,[status(thm)],[1981, 1979])).
% 1.68/1.87 tff(1983,plain,
% 1.68/1.87 (((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))) & ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))),
% 1.68/1.88 inference(and_elim,[status(thm)],[1077])).
% 1.68/1.88 tff(1984,plain,
% 1.68/1.88 ((((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))) & ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))),
% 1.68/1.88 inference(and_elim,[status(thm)],[1983])).
% 1.68/1.88 tff(1985,plain,
% 1.68/1.88 (((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))) & ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))),
% 1.68/1.88 inference(and_elim,[status(thm)],[1984])).
% 1.68/1.88 tff(1986,plain,
% 1.68/1.88 ((((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))) & ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12))),
% 1.68/1.88 inference(and_elim,[status(thm)],[1985])).
% 1.68/1.88 tff(1987,plain,
% 1.68/1.88 ((((op1(e10, e10) = e12) | (op1(e10, e11) = e12)) | (op1(e10, e12) = e12)) | (op1(e10, e13) = e12)),
% 1.68/1.88 inference(and_elim,[status(thm)],[1986])).
% 1.68/1.88 tff(1988,plain,
% 1.68/1.88 ((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1987, 1982])).
% 1.68/1.88 tff(1989,plain,
% 1.68/1.88 ((op1(e10, e10) = e12) | (op1(e10, e11) = e12) | (op1(e10, e12) = e12) | (op1(e10, e13) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1988, 1978])).
% 1.68/1.88 tff(1990,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1989, 1977])).
% 1.68/1.88 tff(1991,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1990, 1971])).
% 1.68/1.88 tff(1992,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1991, 1971])).
% 1.68/1.88 tff(1993,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1992, 1971])).
% 1.68/1.88 tff(1994,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1993, 1971])).
% 1.68/1.88 tff(1995,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1994, 1971])).
% 1.68/1.88 tff(1996,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1995, 1971])).
% 1.68/1.88 tff(1997,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1996, 1971])).
% 1.68/1.88 tff(1998,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1997, 1971])).
% 1.68/1.88 tff(1999,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1998, 1971])).
% 1.68/1.88 tff(2000,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), e12) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1999, 1970])).
% 1.68/1.88 tff(2001,plain,
% 1.68/1.88 (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[2000, 1962, 1956])).
% 1.68/1.88 tff(2002,plain,
% 1.68/1.88 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[1604])).
% 1.68/1.88 tff(2003,plain,
% 1.68/1.88 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[2002])).
% 1.68/1.88 tff(2004,plain,
% 1.68/1.88 ((~(op1(e10, e11) = op1(e11, e11))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(2005,plain,
% 1.68/1.88 ((~(op1(e10, e11) = op1(e11, e11))) <=> (~(op1(e10, e11) = op1(e11, e11)))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(2006,plain,
% 1.68/1.88 (~(op1(e10, e11) = op1(e11, e11))),
% 1.68/1.88 inference(and_elim,[status(thm)],[804])).
% 1.68/1.88 tff(2007,plain,
% 1.68/1.88 (~(op1(e10, e11) = op1(e11, e11))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 1.68/1.88 tff(2008,plain,
% 1.68/1.88 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[2007, 2004])).
% 1.68/1.88 tff(2009,plain,
% 1.68/1.88 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[2008, 2003])).
% 1.68/1.88 tff(2010,plain,
% 1.68/1.88 ((op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.68/1.89 inference(commutativity,[status(thm)],[])).
% 1.68/1.89 tff(2011,plain,
% 1.68/1.89 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1958])).
% 1.68/1.89 tff(2012,plain,
% 1.68/1.89 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.68/1.89 inference(transitivity,[status(thm)],[2011, 2010])).
% 1.68/1.89 tff(2013,plain,
% 1.68/1.89 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.89 inference(symmetry,[status(thm)],[2012])).
% 1.68/1.89 tff(2014,plain,
% 1.68/1.89 ((~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[2013])).
% 1.68/1.89 tff(2015,plain,
% 1.68/1.89 ((~(op1(e12, e10) = op1(e12, e13))) <=> (~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(2016,plain,
% 1.68/1.89 ((~(op1(e12, e10) = op1(e12, e13))) <=> (~(op1(e12, e10) = op1(e12, e13)))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(2017,plain,
% 1.68/1.89 (~(op1(e12, e10) = op1(e12, e13))),
% 1.68/1.89 inference(and_elim,[status(thm)],[772])).
% 1.68/1.89 tff(2018,plain,
% 1.68/1.89 (~(op1(e12, e10) = op1(e12, e13))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 1.68/1.89 tff(2019,plain,
% 1.68/1.89 (~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[2018, 2015])).
% 1.68/1.89 tff(2020,plain,
% 1.68/1.89 (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[2019, 2014])).
% 1.68/1.89 tff(2021,plain,
% 1.68/1.89 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(2022,plain,
% 1.68/1.89 (($false | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(2023,plain,
% 1.68/1.89 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ($false | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[813])).
% 1.68/1.89 tff(2024,plain,
% 1.68/1.89 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[2023, 2022])).
% 1.68/1.90 tff(2025,plain,
% 1.68/1.90 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2026,plain,
% 1.68/1.90 ((op1(e10, e13) = e11) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2027,plain,
% 1.68/1.90 ((op1(e10, e12) = e11) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2028,plain,
% 1.68/1.90 ((op1(e10, e11) = e11) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2029,plain,
% 1.68/1.90 ((op1(e10, e10) = e11) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2030,plain,
% 1.68/1.90 (((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[2029, 2028, 2027, 2026])).
% 1.68/1.90 tff(2031,plain,
% 1.68/1.90 (((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[2030, 2025])).
% 1.68/1.90 tff(2032,plain,
% 1.68/1.90 (((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11)) <=> ((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2033,plain,
% 1.68/1.90 ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11)) <=> ((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2034,plain,
% 1.68/1.90 ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) <=> ((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(2035,plain,
% 1.68/1.90 (((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11)) <=> (((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[2034])).
% 1.68/1.90 tff(2036,plain,
% 1.68/1.90 (((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11)) <=> ((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11))),
% 1.68/1.90 inference(transitivity,[status(thm)],[2035, 2033])).
% 1.68/1.90 tff(2037,plain,
% 1.68/1.90 (((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))) & ((((op1(e10, e10) = e11) | (op1(e11, e10) = e11)) | (op1(e12, e10) = e11)) | (op1(e13, e10) = e11))),
% 1.68/1.90 inference(and_elim,[status(thm)],[1986])).
% 1.68/1.90 tff(2038,plain,
% 1.68/1.90 ((((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))) & ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11))),
% 1.68/1.90 inference(and_elim,[status(thm)],[2037])).
% 1.68/1.90 tff(2039,plain,
% 1.68/1.90 ((((op1(e10, e10) = e11) | (op1(e10, e11) = e11)) | (op1(e10, e12) = e11)) | (op1(e10, e13) = e11)),
% 1.68/1.90 inference(and_elim,[status(thm)],[2038])).
% 1.68/1.90 tff(2040,plain,
% 1.68/1.90 ((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11)),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2039, 2036])).
% 1.68/1.90 tff(2041,plain,
% 1.68/1.90 ((op1(e10, e10) = e11) | (op1(e10, e11) = e11) | (op1(e10, e12) = e11) | (op1(e10, e13) = e11)),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2040, 2032])).
% 1.68/1.90 tff(2042,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2041, 2031])).
% 1.68/1.90 tff(2043,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2042, 2025])).
% 1.68/1.90 tff(2044,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2043, 2025])).
% 1.68/1.90 tff(2045,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2044, 2024])).
% 1.68/1.90 tff(2046,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2045, 2021])).
% 1.68/1.90 tff(2047,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2046, 2021])).
% 1.68/1.90 tff(2048,plain,
% 1.68/1.90 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[2047, 2021])).
% 1.76/1.91 tff(2049,plain,
% 1.76/1.91 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.76/1.91 inference(modus_ponens,[status(thm)],[2048, 2021])).
% 1.76/1.91 tff(2050,plain,
% 1.76/1.91 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.76/1.91 inference(modus_ponens,[status(thm)],[2049, 2021])).
% 1.76/1.91 tff(2051,plain,
% 1.76/1.91 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.76/1.91 inference(modus_ponens,[status(thm)],[2050, 2021])).
% 1.76/1.91 tff(2052,plain,
% 1.76/1.91 (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[2051, 2020, 2009])).
% 1.76/1.91 tff(2053,plain,
% 1.76/1.91 (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, e12))),
% 1.76/1.91 inference(symmetry,[status(thm)],[2052])).
% 1.76/1.91 tff(2054,plain,
% 1.76/1.91 (op1(e12, op1(e12, op1(e12, e12))) = e12),
% 1.76/1.91 inference(transitivity,[status(thm)],[2053, 2001])).
% 1.76/1.91 tff(2055,plain,
% 1.76/1.91 ($false),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[828, 2054])).
% 1.76/1.91 tff(2056,plain,((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.91 tff(2057,plain,
% 1.76/1.91 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[2056, 1602])).
% 1.76/1.91 tff(2058,plain,
% 1.76/1.91 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[738, 2057])).
% 1.76/1.91 tff(2059,plain,
% 1.76/1.91 (~((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[921, 2058])).
% 1.76/1.91 tff(2060,plain,
% 1.76/1.91 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))),
% 1.76/1.91 inference(unit_resolution,[status(thm)],[923, 2059])).
% 1.76/1.91 tff(2061,plain,
% 1.76/1.91 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) <=> (op1(e12, op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[2060])).
% 1.76/1.91 tff(2062,plain,
% 1.76/1.91 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) <=> (op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 1.76/1.91 inference(transitivity,[status(thm)],[2061, 1600])).
% 1.76/1.91 tff(2063,plain,
% 1.76/1.91 ((op1(e12, e12) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.91 inference(symmetry,[status(thm)],[2062])).
% 1.76/1.91 tff(2064,plain,
% 1.76/1.91 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.91 inference(monotonicity,[status(thm)],[2063])).
% 1.76/1.91 tff(2065,plain,
% 1.76/1.91 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.91 inference(modus_ponens,[status(thm)],[834, 2064])).
% 1.76/1.92 tff(2066,plain,
% 1.76/1.92 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[925, 2059])).
% 1.76/1.92 tff(2067,plain,
% 1.76/1.92 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[1021, 2066, 2057])).
% 1.76/1.92 tff(2068,plain,
% 1.76/1.92 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[2067])).
% 1.76/1.92 tff(2069,plain,
% 1.76/1.92 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[2068])).
% 1.76/1.92 tff(2070,plain,
% 1.76/1.92 ((~(op1(e11, e10) = op1(e11, e11))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2071,plain,
% 1.76/1.92 ((~(op1(e11, e10) = op1(e11, e11))) <=> (~(op1(e11, e10) = op1(e11, e11)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2072,plain,
% 1.76/1.92 (~(op1(e11, e10) = op1(e11, e11))),
% 1.76/1.92 inference(and_elim,[status(thm)],[780])).
% 1.76/1.92 tff(2073,plain,
% 1.76/1.92 (~(op1(e11, e10) = op1(e11, e11))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 1.76/1.92 tff(2074,plain,
% 1.76/1.92 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[2073, 2070])).
% 1.76/1.92 tff(2075,plain,
% 1.76/1.92 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[2074, 2069])).
% 1.76/1.92 tff(2076,plain,
% 1.76/1.92 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2077,plain,
% 1.76/1.92 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2078,plain,
% 1.76/1.92 ((~(op1(e12, e10) = op1(e12, e12))) <=> (~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2079,plain,
% 1.76/1.92 ((~(op1(e12, e10) = op1(e12, e12))) <=> (~(op1(e12, e10) = op1(e12, e12)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2080,plain,
% 1.76/1.92 (~(op1(e12, e10) = op1(e12, e12))),
% 1.76/1.92 inference(and_elim,[status(thm)],[773])).
% 1.76/1.92 tff(2081,plain,
% 1.76/1.92 (~(op1(e12, e10) = op1(e12, e12))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 1.76/1.92 tff(2082,plain,
% 1.76/1.92 (~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[2081, 2078])).
% 1.76/1.92 tff(2083,plain,
% 1.76/1.92 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) <=> $false),
% 1.76/1.92 inference(iff_false,[status(thm)],[2082])).
% 1.76/1.92 tff(2084,plain,
% 1.76/1.92 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[2083])).
% 1.76/1.92 tff(2085,plain,
% 1.76/1.92 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(transitivity,[status(thm)],[2084, 2077])).
% 1.76/1.92 tff(2086,plain,
% 1.76/1.92 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2087,plain,
% 1.76/1.92 ((op1(e13, e10) = e13) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2088,plain,
% 1.76/1.92 ((op1(e12, e10) = e13) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2089,plain,
% 1.76/1.92 ((op1(e11, e10) = e13) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2090,plain,
% 1.76/1.92 ((op1(e10, e10) = e13) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2091,plain,
% 1.76/1.92 (((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[2090, 2089, 2088, 2087])).
% 1.76/1.92 tff(2092,plain,
% 1.76/1.92 (((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.92 inference(transitivity,[status(thm)],[2091, 2086])).
% 1.76/1.92 tff(2093,plain,
% 1.76/1.92 (((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2094,plain,
% 1.76/1.92 ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2095,plain,
% 1.76/1.92 ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(2096,plain,
% 1.76/1.92 (((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13)) <=> (((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[2095])).
% 1.76/1.92 tff(2097,plain,
% 1.76/1.92 (((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13))),
% 1.76/1.93 inference(transitivity,[status(thm)],[2096, 2094])).
% 1.76/1.93 tff(2098,plain,
% 1.76/1.93 ((((op1(e10, e10) = e13) | (op1(e11, e10) = e13)) | (op1(e12, e10) = e13)) | (op1(e13, e10) = e13)),
% 1.76/1.93 inference(and_elim,[status(thm)],[1983])).
% 1.76/1.93 tff(2099,plain,
% 1.76/1.93 ((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13)),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2098, 2097])).
% 1.76/1.93 tff(2100,plain,
% 1.76/1.93 ((op1(e10, e10) = e13) | (op1(e11, e10) = e13) | (op1(e12, e10) = e13) | (op1(e13, e10) = e13)),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2099, 2093])).
% 1.76/1.93 tff(2101,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2100, 2092])).
% 1.76/1.93 tff(2102,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2101, 2086])).
% 1.76/1.93 tff(2103,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2102, 2086])).
% 1.76/1.93 tff(2104,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2103, 2085])).
% 1.76/1.93 tff(2105,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2104, 2076])).
% 1.76/1.93 tff(2106,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2105, 2076])).
% 1.76/1.93 tff(2107,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2106, 2076])).
% 1.76/1.93 tff(2108,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2107, 2076])).
% 1.76/1.93 tff(2109,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2108, 2076])).
% 1.76/1.93 tff(2110,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2109, 2076])).
% 1.76/1.93 tff(2111,plain,
% 1.76/1.93 ($false),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[2110, 2075, 2065, 1599])).
% 1.76/1.93 tff(2112,plain,(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)), inference(lemma,lemma(discharge,[]))).
% 1.76/1.93 tff(2113,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2112])).
% 1.76/1.93 tff(2114,plain,
% 1.76/1.93 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2113])).
% 1.76/1.93 tff(2115,plain,
% 1.76/1.93 ((~(op1(e10, e10) = op1(e13, e10))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12)))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2116,plain,
% 1.76/1.93 ((~(op1(e10, e10) = op1(e13, e10))) <=> (~(op1(e10, e10) = op1(e13, e10)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2117,plain,
% 1.76/1.93 (~(op1(e10, e10) = op1(e13, e10))),
% 1.76/1.93 inference(and_elim,[status(thm)],[808])).
% 1.76/1.93 tff(2118,plain,
% 1.76/1.93 (~(op1(e10, e10) = op1(e13, e10))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 1.76/1.93 tff(2119,plain,
% 1.76/1.93 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2118, 2115])).
% 1.76/1.93 tff(2120,plain,
% 1.76/1.93 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2119, 2114])).
% 1.76/1.93 tff(2121,assumption,(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)), introduced(assumption)).
% 1.76/1.93 tff(2122,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2121])).
% 1.76/1.93 tff(2123,plain,
% 1.76/1.93 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2122])).
% 1.76/1.93 tff(2124,plain,
% 1.76/1.93 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2008, 2123])).
% 1.76/1.93 tff(2125,plain,
% 1.76/1.93 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2126,plain,
% 1.76/1.93 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | $false | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2127,plain,
% 1.76/1.93 ((~(op1(e10, e12) = op1(e12, e12))) <=> (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2128,plain,
% 1.76/1.93 ((~(op1(e10, e12) = op1(e12, e12))) <=> (~(op1(e10, e12) = op1(e12, e12)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2129,plain,
% 1.76/1.93 (~(op1(e10, e12) = op1(e12, e12))),
% 1.76/1.93 inference(and_elim,[status(thm)],[797])).
% 1.76/1.93 tff(2130,plain,
% 1.76/1.93 (~(op1(e10, e12) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 1.76/1.93 tff(2131,plain,
% 1.76/1.93 (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[2130, 2127])).
% 1.76/1.93 tff(2132,plain,
% 1.76/1.93 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) <=> $false),
% 1.76/1.93 inference(iff_false,[status(thm)],[2131])).
% 1.76/1.93 tff(2133,plain,
% 1.76/1.93 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | $false | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2132])).
% 1.76/1.93 tff(2134,plain,
% 1.76/1.93 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(transitivity,[status(thm)],[2133, 2126])).
% 1.76/1.93 tff(2135,plain,
% 1.76/1.93 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2136,plain,
% 1.76/1.93 ((op1(e10, e13) = e13) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2137,plain,
% 1.76/1.93 ((op1(e10, e12) = e13) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2138,plain,
% 1.76/1.93 ((op1(e10, e11) = e13) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2139,plain,
% 1.76/1.93 (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[2090, 2138, 2137, 2136])).
% 1.76/1.93 tff(2140,plain,
% 1.76/1.93 (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.93 inference(transitivity,[status(thm)],[2139, 2135])).
% 1.76/1.93 tff(2141,plain,
% 1.76/1.93 (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2142,plain,
% 1.76/1.93 ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2143,plain,
% 1.76/1.93 ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(2144,plain,
% 1.76/1.93 (((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)) <=> (((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2143])).
% 1.76/1.94 tff(2145,plain,
% 1.76/1.94 (((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)) <=> ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13))),
% 1.76/1.94 inference(transitivity,[status(thm)],[2144, 2142])).
% 1.76/1.94 tff(2146,plain,
% 1.76/1.94 ((((op1(e10, e10) = e13) | (op1(e10, e11) = e13)) | (op1(e10, e12) = e13)) | (op1(e10, e13) = e13)),
% 1.76/1.94 inference(and_elim,[status(thm)],[1984])).
% 1.76/1.94 tff(2147,plain,
% 1.76/1.94 ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2146, 2145])).
% 1.76/1.94 tff(2148,plain,
% 1.76/1.94 ((op1(e10, e10) = e13) | (op1(e10, e11) = e13) | (op1(e10, e12) = e13) | (op1(e10, e13) = e13)),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2147, 2141])).
% 1.76/1.94 tff(2149,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2148, 2140])).
% 1.76/1.94 tff(2150,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2149, 2135])).
% 1.76/1.94 tff(2151,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2150, 2135])).
% 1.76/1.94 tff(2152,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2151, 2134])).
% 1.76/1.94 tff(2153,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2152, 2125])).
% 1.76/1.94 tff(2154,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2153, 2125])).
% 1.76/1.94 tff(2155,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2154, 2125])).
% 1.76/1.94 tff(2156,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2155, 2125])).
% 1.76/1.94 tff(2157,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2156, 2125])).
% 1.76/1.94 tff(2158,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[2157, 2125])).
% 1.76/1.94 tff(2159,plain,
% 1.76/1.94 (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[2158, 2124, 2120])).
% 1.76/1.94 tff(2160,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) <=> (op1(e12, e12) = e12)),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2159])).
% 1.76/1.94 tff(2161,plain,
% 1.76/1.94 ((op1(e12, e12) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.76/1.94 inference(symmetry,[status(thm)],[2160])).
% 1.76/1.94 tff(2162,plain,
% 1.76/1.94 ((~(op1(e12, e12) = e12)) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2161])).
% 1.76/1.94 tff(2163,plain,
% 1.76/1.94 (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[748, 2162])).
% 1.76/1.94 tff(2164,plain,
% 1.76/1.94 ((e12 = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 1.76/1.94 inference(commutativity,[status(thm)],[])).
% 1.76/1.94 tff(2165,plain,
% 1.76/1.94 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12) <=> (op1(e12, e12) = e12)),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2112])).
% 1.76/1.94 tff(2166,plain,
% 1.76/1.94 ((op1(e12, e12) = e12) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.94 inference(symmetry,[status(thm)],[2165])).
% 1.76/1.94 tff(2167,plain,
% 1.76/1.94 ((~(op1(e12, e12) = e12)) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2166])).
% 1.76/1.94 tff(2168,plain,
% 1.76/1.94 (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[748, 2167])).
% 1.76/1.94 tff(2169,assumption,(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))), introduced(assumption)).
% 1.76/1.94 tff(2170,plain,
% 1.76/1.94 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) <=> (op1(e12, op1(e12, e12)) = e12)),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2169])).
% 1.76/1.94 tff(2171,plain,
% 1.76/1.94 ((op1(e12, op1(e12, e12)) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.94 inference(symmetry,[status(thm)],[2170])).
% 1.76/1.94 tff(2172,plain,
% 1.76/1.94 ((~(op1(e12, op1(e12, e12)) = e12)) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[2171])).
% 1.76/1.94 tff(2173,plain,
% 1.76/1.94 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[858, 2172])).
% 1.76/1.94 tff(2174,plain,
% 1.76/1.94 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(2175,plain,
% 1.76/1.94 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(2176,plain,
% 1.76/1.94 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[829])).
% 1.76/1.94 tff(2177,plain,
% 1.76/1.94 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.95 inference(transitivity,[status(thm)],[2176, 2175])).
% 1.76/1.95 tff(2178,plain,
% 1.76/1.95 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2179,plain,
% 1.76/1.95 ((op1(e13, e10) = e12) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2180,plain,
% 1.76/1.95 ((op1(e12, e10) = e12) <=> (op1(e12, op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2181,plain,
% 1.76/1.95 ((op1(e11, e10) = e12) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2182,plain,
% 1.76/1.95 (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1975, 2181, 2180, 2179])).
% 1.76/1.95 tff(2183,plain,
% 1.76/1.95 (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12))),
% 1.76/1.95 inference(transitivity,[status(thm)],[2182, 2178])).
% 1.76/1.95 tff(2184,plain,
% 1.76/1.95 (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2185,plain,
% 1.76/1.95 ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2186,plain,
% 1.76/1.95 ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2187,plain,
% 1.76/1.95 (((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)) <=> (((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[2186])).
% 1.76/1.95 tff(2188,plain,
% 1.76/1.95 (((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)) <=> ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12))),
% 1.76/1.95 inference(transitivity,[status(thm)],[2187, 2185])).
% 1.76/1.95 tff(2189,plain,
% 1.76/1.95 ((((op1(e10, e10) = e12) | (op1(e11, e10) = e12)) | (op1(e12, e10) = e12)) | (op1(e13, e10) = e12)),
% 1.76/1.95 inference(and_elim,[status(thm)],[1985])).
% 1.76/1.95 tff(2190,plain,
% 1.76/1.95 ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 1.76/1.95 tff(2191,plain,
% 1.76/1.95 ((op1(e10, e10) = e12) | (op1(e11, e10) = e12) | (op1(e12, e10) = e12) | (op1(e13, e10) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2190, 2184])).
% 1.76/1.95 tff(2192,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2191, 2183])).
% 1.76/1.95 tff(2193,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2192, 2178])).
% 1.76/1.95 tff(2194,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(e12, op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2193, 2178])).
% 1.76/1.95 tff(2195,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2194, 2177])).
% 1.76/1.95 tff(2196,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2195, 2174])).
% 1.76/1.95 tff(2197,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2196, 2174])).
% 1.76/1.95 tff(2198,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2197, 2174])).
% 1.76/1.95 tff(2199,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2198, 2174])).
% 1.76/1.95 tff(2200,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2199, 2174])).
% 1.76/1.95 tff(2201,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2200, 2174])).
% 1.76/1.95 tff(2202,plain,
% 1.76/1.95 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[2201, 2173, 2168])).
% 1.76/1.95 tff(2203,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (e12 = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[2202])).
% 1.76/1.95 tff(2204,plain,
% 1.76/1.95 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 1.76/1.95 inference(transitivity,[status(thm)],[2203, 2164])).
% 1.76/1.95 tff(2205,plain,
% 1.76/1.95 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[2204])).
% 1.76/1.95 tff(2206,plain,
% 1.76/1.95 ((~(op1(e11, e10) = op1(e11, e13))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2207,plain,
% 1.76/1.95 ((~(op1(e11, e10) = op1(e11, e13))) <=> (~(op1(e11, e10) = op1(e11, e13)))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2208,plain,
% 1.76/1.95 (~(op1(e11, e10) = op1(e11, e13))),
% 1.76/1.95 inference(and_elim,[status(thm)],[778])).
% 1.76/1.95 tff(2209,plain,
% 1.76/1.95 (~(op1(e11, e10) = op1(e11, e13))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2208, 2207])).
% 1.76/1.95 tff(2210,plain,
% 1.76/1.95 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2209, 2206])).
% 1.76/1.95 tff(2211,plain,
% 1.76/1.95 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[2210, 2205])).
% 1.76/1.95 tff(2212,plain,
% 1.76/1.95 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2213,plain,
% 1.76/1.95 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | $false | (op1(op1(e12, e12), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2214,plain,
% 1.76/1.95 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | $false | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[859])).
% 1.76/1.95 tff(2215,plain,
% 1.76/1.95 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(transitivity,[status(thm)],[2214, 2213])).
% 1.76/1.95 tff(2216,plain,
% 1.76/1.95 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2217,plain,
% 1.76/1.95 ((op1(e13, e13) = e12) <=> (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2218,plain,
% 1.76/1.95 ((op1(e11, e13) = e12) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2219,plain,
% 1.76/1.95 (((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1972, 2218, 1745, 2217])).
% 1.76/1.95 tff(2220,plain,
% 1.76/1.95 (((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12))),
% 1.76/1.95 inference(transitivity,[status(thm)],[2219, 2216])).
% 1.76/1.95 tff(2221,plain,
% 1.76/1.95 (((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12)) <=> ((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2222,plain,
% 1.76/1.95 ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12)) <=> ((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(2223,plain,
% 1.76/1.95 ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) <=> ((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2224,plain,
% 1.76/1.96 (((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12)) <=> (((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[2223])).
% 1.76/1.96 tff(2225,plain,
% 1.76/1.96 (((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12)) <=> ((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2224, 2222])).
% 1.76/1.96 tff(2226,plain,
% 1.76/1.96 ((((op1(e10, e13) = e12) | (op1(e11, e13) = e12)) | (op1(e12, e13) = e12)) | (op1(e13, e13) = e12)),
% 1.76/1.96 inference(and_elim,[status(thm)],[1056])).
% 1.76/1.96 tff(2227,plain,
% 1.76/1.96 ((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 1.76/1.96 tff(2228,plain,
% 1.76/1.96 ((op1(e10, e13) = e12) | (op1(e11, e13) = e12) | (op1(e12, e13) = e12) | (op1(e13, e13) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2227, 2221])).
% 1.76/1.96 tff(2229,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2228, 2220])).
% 1.76/1.96 tff(2230,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2229, 2216])).
% 1.76/1.96 tff(2231,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(e12, op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2230, 2216])).
% 1.76/1.96 tff(2232,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2231, 2215])).
% 1.76/1.96 tff(2233,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2232, 2212])).
% 1.76/1.96 tff(2234,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2233, 2212])).
% 1.76/1.96 tff(2235,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2234, 2212])).
% 1.76/1.96 tff(2236,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2235, 2212])).
% 1.76/1.96 tff(2237,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2236, 2212])).
% 1.76/1.96 tff(2238,plain,
% 1.76/1.96 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2237, 2212])).
% 1.76/1.96 tff(2239,plain,
% 1.76/1.96 (op1(op1(e12, e12), op1(e12, e12)) = e12),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[2238, 2211, 2163])).
% 1.76/1.96 tff(2240,plain,
% 1.76/1.96 (h4(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)),
% 1.76/1.96 inference(monotonicity,[status(thm)],[2239])).
% 1.76/1.96 tff(2241,plain,
% 1.76/1.96 (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2240, 1586, 1598])).
% 1.76/1.96 tff(2242,plain,
% 1.76/1.96 (op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h3(e12), h1(e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1596, 1592])).
% 1.76/1.96 tff(2243,plain,
% 1.76/1.96 (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.76/1.96 inference(symmetry,[status(thm)],[2242])).
% 1.76/1.96 tff(2244,plain,
% 1.76/1.96 ((h2(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (h2(e12) = op2(h3(e12), h1(e12)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2245,plain,
% 1.76/1.96 ((h2(e12) = e21) <=> (h2(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2246,plain,
% 1.76/1.96 ((h2(e12) = e21) <=> (h2(e12) = e21)),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2247,plain,
% 1.76/1.96 (((h2(e12) = e21) & (h2(e10) = op2(e21, op2(e21, e21)))) & (h2(e11) = op2(e21, op2(e21, op2(e21, e21))))),
% 1.76/1.96 inference(and_elim,[status(thm)],[509])).
% 1.76/1.96 tff(2248,plain,
% 1.76/1.96 ((h2(e12) = e21) & (h2(e10) = op2(e21, op2(e21, e21)))),
% 1.76/1.96 inference(and_elim,[status(thm)],[2247])).
% 1.76/1.96 tff(2249,plain,
% 1.76/1.96 (h2(e12) = e21),
% 1.76/1.96 inference(and_elim,[status(thm)],[2248])).
% 1.76/1.96 tff(2250,plain,
% 1.76/1.96 (h2(e12) = e21),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2249, 2246])).
% 1.76/1.96 tff(2251,plain,
% 1.76/1.96 (h2(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2250, 2245])).
% 1.76/1.96 tff(2252,plain,
% 1.76/1.96 (h2(e12) = op2(h3(e12), h1(e12))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2251, 2244])).
% 1.76/1.96 tff(2253,plain,
% 1.76/1.96 ((h4(op1(e12, op1(e12, e12))) = op2(h4(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2254,plain,
% 1.76/1.96 ((h4(op1(e12, op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2255,plain,
% 1.76/1.96 ((h4(e10) = op2(e23, op2(e23, e23))) <=> (h4(op1(e12, op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2256,plain,
% 1.76/1.96 ((h4(e10) = op2(e23, op2(e23, e23))) <=> (h4(e10) = op2(e23, op2(e23, e23)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2257,plain,
% 1.76/1.96 (h4(e10) = op2(e23, op2(e23, e23))),
% 1.76/1.96 inference(and_elim,[status(thm)],[1583])).
% 1.76/1.96 tff(2258,plain,
% 1.76/1.96 (h4(e10) = op2(e23, op2(e23, e23))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 1.76/1.96 tff(2259,plain,
% 1.76/1.96 (h4(op1(e12, op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2258, 2255])).
% 1.76/1.96 tff(2260,plain,
% 1.76/1.96 (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2259, 2254])).
% 1.76/1.96 tff(2261,plain,
% 1.76/1.96 (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[2260, 2253])).
% 1.76/1.96 tff(2262,assumption,(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))), introduced(assumption)).
% 1.76/1.96 tff(2263,plain,
% 1.76/1.96 (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = h4(op1(e12, op1(e12, e12)))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[2262])).
% 1.76/1.96 tff(2264,plain,
% 1.76/1.96 (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2263, 2261, 1587, 1579, 2252, 2243])).
% 1.76/1.96 tff(2265,plain,
% 1.76/1.96 (op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h4(e12), h1(e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1592])).
% 1.76/1.96 tff(2266,plain,
% 1.76/1.96 (op2(h4(e12), h1(e12)) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.76/1.96 inference(symmetry,[status(thm)],[2265])).
% 1.76/1.96 tff(2267,plain,
% 1.76/1.96 (h1(op1(e12, e12)) = h3(e12)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1506, 1255, 503])).
% 1.76/1.96 tff(2268,plain,
% 1.76/1.96 ((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1508, 2267])).
% 1.76/1.96 tff(2269,plain,
% 1.76/1.96 (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[668, 2268, 39, 35, 31, 53])).
% 1.76/1.96 tff(2270,plain,
% 1.76/1.96 (op2(h4(e12), h1(e12)) = h4(e12)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[670, 2269])).
% 1.76/1.96 tff(2271,plain,
% 1.76/1.96 (h4(e12) = op2(h4(e12), h1(e12))),
% 1.76/1.96 inference(symmetry,[status(thm)],[2270])).
% 1.76/1.96 tff(2272,plain,
% 1.76/1.96 (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = h4(e12)),
% 1.76/1.96 inference(monotonicity,[status(thm)],[983])).
% 1.76/1.96 tff(2273,plain,
% 1.76/1.96 (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2272, 2271, 2266])).
% 1.76/1.96 tff(2274,plain,
% 1.76/1.96 (op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))) = op2(h2(e12), h2(e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1588, 1588])).
% 1.76/1.96 tff(2275,plain,
% 1.76/1.96 (op2(h2(e12), h2(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))),
% 1.76/1.96 inference(symmetry,[status(thm)],[2274])).
% 1.76/1.96 tff(2276,plain,
% 1.76/1.96 (h2(e12) = op2(h2(e12), h2(e12))),
% 1.76/1.96 inference(symmetry,[status(thm)],[3])).
% 1.76/1.96 tff(2277,plain,
% 1.76/1.96 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = h4(op1(e12, op1(e12, e12)))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[2169])).
% 1.76/1.96 tff(2278,plain,
% 1.76/1.96 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2277, 2261, 1587, 1579, 2276, 2275])).
% 1.76/1.96 tff(2279,plain,
% 1.76/1.96 (op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))) = op2(h3(e12), h2(e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1596, 1588])).
% 1.76/1.96 tff(2280,plain,
% 1.76/1.96 (op2(h3(e12), h2(e12)) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))),
% 1.76/1.96 inference(symmetry,[status(thm)],[2279])).
% 1.76/1.96 tff(2281,plain,
% 1.76/1.96 (h3(e12) = op2(h3(e12), h2(e12))),
% 1.76/1.96 inference(symmetry,[status(thm)],[1196])).
% 1.76/1.96 tff(2282,plain,
% 1.76/1.96 (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = h4(op1(e12, e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[2112])).
% 1.76/1.96 tff(2283,plain,
% 1.76/1.96 (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2282, 1538, 2281, 2280])).
% 1.76/1.96 tff(2284,plain,
% 1.76/1.96 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)) = op2(h1(e12), h4(e12))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1592])).
% 1.76/1.96 tff(2285,plain,
% 1.76/1.96 (op2(h1(e12), h4(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))),
% 1.76/1.96 inference(symmetry,[status(thm)],[2284])).
% 1.76/1.96 tff(2286,plain,
% 1.76/1.96 (((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12))) <=> ((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2287,plain,
% 1.76/1.96 (($false | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12))) <=> ((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2288,plain,
% 1.76/1.96 (((op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12))) <=> ($false | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12)))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1477])).
% 1.76/1.96 tff(2289,plain,
% 1.76/1.96 (((op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12))) <=> ((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2288, 2287])).
% 1.76/1.96 tff(2290,plain,
% 1.76/1.96 (((h1(op1(e12, e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12))) <=> ((op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2291,plain,
% 1.76/1.96 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((h1(op1(e12, e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12)))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2292,plain,
% 1.76/1.96 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2293,plain,
% 1.76/1.96 ((op2(e20, e23) = e21) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(2294,plain,
% 1.76/1.96 (((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1489, 1210, 1557, 2293])).
% 1.76/1.96 tff(2295,plain,
% 1.76/1.96 (((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[2294, 2292])).
% 1.76/1.96 tff(2296,plain,
% 1.76/1.96 (((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21)) <=> ((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2297,plain,
% 1.76/1.97 ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21)) <=> ((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2298,plain,
% 1.76/1.97 ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) <=> ((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2299,plain,
% 1.76/1.97 (((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21)) <=> (((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[2298])).
% 1.76/1.97 tff(2300,plain,
% 1.76/1.97 (((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21)) <=> ((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21))),
% 1.76/1.97 inference(transitivity,[status(thm)],[2299, 2297])).
% 1.76/1.97 tff(2301,plain,
% 1.76/1.97 ((((op2(e20, e20) = e21) | (op2(e20, e21) = e21)) | (op2(e20, e22) = e21)) | (op2(e20, e23) = e21)),
% 1.76/1.97 inference(and_elim,[status(thm)],[711])).
% 1.76/1.97 tff(2302,plain,
% 1.76/1.97 ((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21)),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 1.76/1.97 tff(2303,plain,
% 1.76/1.97 ((op2(e20, e20) = e21) | (op2(e20, e21) = e21) | (op2(e20, e22) = e21) | (op2(e20, e23) = e21)),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2302, 2296])).
% 1.76/1.97 tff(2304,plain,
% 1.76/1.97 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2303, 2295])).
% 1.76/1.97 tff(2305,plain,
% 1.76/1.97 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2304, 2292])).
% 1.76/1.97 tff(2306,plain,
% 1.76/1.97 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2305, 2292])).
% 1.76/1.97 tff(2307,plain,
% 1.76/1.97 ((h1(op1(e12, e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2306, 2291])).
% 1.76/1.97 tff(2308,plain,
% 1.76/1.97 ((op2(h1(e12), h1(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h4(e12)) = h2(e12))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2307, 2290])).
% 1.76/1.97 tff(2309,plain,
% 1.76/1.97 ((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2308, 2289])).
% 1.76/1.97 tff(2310,plain,
% 1.76/1.97 ((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2309, 2286])).
% 1.76/1.97 tff(2311,plain,
% 1.76/1.97 ((op2(h1(e12), h4(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h2(e12))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2310, 2286])).
% 1.76/1.97 tff(2312,plain,
% 1.76/1.97 (op2(h1(e12), h4(e12)) = h2(e12)),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[2311, 1546, 1142])).
% 1.76/1.97 tff(2313,plain,
% 1.76/1.97 (h2(e12) = op2(h1(e12), h4(e12))),
% 1.76/1.97 inference(symmetry,[status(thm)],[2312])).
% 1.76/1.97 tff(2314,assumption,(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12))), introduced(assumption)).
% 1.76/1.97 tff(2315,plain,
% 1.76/1.97 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = h4(op1(e12, op1(e12, e12)))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[2314])).
% 1.76/1.97 tff(2316,plain,
% 1.76/1.97 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))),
% 1.76/1.97 inference(transitivity,[status(thm)],[2315, 2261, 1587, 1579, 2313, 2285])).
% 1.76/1.97 tff(2317,plain,
% 1.76/1.97 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))) = op2(h1(e12), h3(e12))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1592, 1596])).
% 1.76/1.97 tff(2318,plain,
% 1.76/1.97 (op2(h1(e12), h3(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))),
% 1.76/1.97 inference(symmetry,[status(thm)],[2317])).
% 1.76/1.97 tff(2319,plain,
% 1.76/1.97 (h1(e12) = op2(h1(e12), h3(e12))),
% 1.76/1.97 inference(symmetry,[status(thm)],[1541])).
% 1.76/1.97 tff(2320,plain,
% 1.76/1.97 ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), op2(h4(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2321,plain,
% 1.76/1.97 ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))) <=> (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), op2(h4(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2322,plain,
% 1.76/1.97 ((h4(e11) = op2(e23, op2(e23, op2(e23, e23)))) <=> (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2323,plain,
% 1.76/1.97 ((h4(e11) = op2(e23, op2(e23, op2(e23, e23)))) <=> (h4(e11) = op2(e23, op2(e23, op2(e23, e23))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2324,plain,
% 1.76/1.97 (h4(e11) = op2(e23, op2(e23, op2(e23, e23)))),
% 1.76/1.97 inference(and_elim,[status(thm)],[1582])).
% 1.76/1.97 tff(2325,plain,
% 1.76/1.97 (h4(e11) = op2(e23, op2(e23, op2(e23, e23)))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 1.76/1.97 tff(2326,plain,
% 1.76/1.97 (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2325, 2322])).
% 1.76/1.97 tff(2327,plain,
% 1.76/1.97 (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), op2(h4(e12), op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2326, 2321])).
% 1.76/1.97 tff(2328,plain,
% 1.76/1.97 (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[2327, 2320])).
% 1.76/1.97 tff(2329,plain,
% 1.76/1.97 ((op1(e12, e12) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.97 inference(commutativity,[status(thm)],[])).
% 1.76/1.97 tff(2330,plain,
% 1.76/1.97 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(e12, e12) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[2121])).
% 1.76/1.97 tff(2331,plain,
% 1.76/1.97 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.97 inference(transitivity,[status(thm)],[2330, 2329])).
% 1.76/1.97 tff(2332,plain,
% 1.76/1.97 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[2331])).
% 1.76/1.97 tff(2333,plain,
% 1.76/1.97 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[1612, 2332])).
% 1.76/1.97 tff(2334,plain,
% 1.76/1.97 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2335,plain,
% 1.76/1.97 (($false | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2336,plain,
% 1.76/1.97 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ($false | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1040])).
% 1.76/1.97 tff(2337,plain,
% 1.76/1.97 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.97 inference(transitivity,[status(thm)],[2336, 2335])).
% 1.76/1.97 tff(2338,plain,
% 1.76/1.97 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2339,plain,
% 1.76/1.97 ((op1(e11, e13) = e13) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2340,plain,
% 1.76/1.97 ((op1(e11, e13) = e11) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(2341,plain,
% 1.76/1.97 (((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.98 inference(monotonicity,[status(thm)],[1044, 2340, 2218, 2339])).
% 1.76/1.98 tff(2342,plain,
% 1.76/1.98 (((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 1.76/1.98 inference(transitivity,[status(thm)],[2341, 2338])).
% 1.76/1.98 tff(2343,plain,
% 1.76/1.98 (((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13)) <=> ((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(2344,plain,
% 1.76/1.98 ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13)) <=> ((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(2345,plain,
% 1.76/1.98 ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) <=> ((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(2346,plain,
% 1.76/1.98 (((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13)) <=> (((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13))),
% 1.76/1.98 inference(monotonicity,[status(thm)],[2345])).
% 1.76/1.98 tff(2347,plain,
% 1.76/1.98 (((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13)) <=> ((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13))),
% 1.76/1.98 inference(transitivity,[status(thm)],[2346, 2344])).
% 1.76/1.98 tff(2348,plain,
% 1.76/1.98 ((((op1(e11, e13) = e10) | (op1(e11, e13) = e11)) | (op1(e11, e13) = e12)) | (op1(e11, e13) = e13)),
% 1.76/1.98 inference(and_elim,[status(thm)],[1005])).
% 1.76/1.98 tff(2349,plain,
% 1.76/1.98 ((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13)),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[2348, 2347])).
% 1.76/1.98 tff(2350,plain,
% 1.76/1.98 ((op1(e11, e13) = e10) | (op1(e11, e13) = e11) | (op1(e11, e13) = e12) | (op1(e11, e13) = e13)),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[2349, 2343])).
% 1.76/1.98 tff(2351,plain,
% 1.76/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[2350, 2342])).
% 1.76/1.98 tff(2352,plain,
% 1.76/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[2351, 2338])).
% 1.76/1.98 tff(2353,plain,
% 1.76/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[2352, 2338])).
% 1.76/1.98 tff(2354,plain,
% 1.76/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[2353, 2337])).
% 1.76/1.98 tff(2355,plain,
% 1.76/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[2354, 2334])).
% 1.83/1.98 tff(2356,plain,
% 1.83/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[2355, 2334])).
% 1.83/1.98 tff(2357,plain,
% 1.83/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[2356, 2334])).
% 1.83/1.98 tff(2358,plain,
% 1.83/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[2357, 2334])).
% 1.83/1.98 tff(2359,plain,
% 1.83/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[2358, 2334])).
% 1.83/1.98 tff(2360,plain,
% 1.83/1.98 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[2359, 2334])).
% 1.83/1.98 tff(2361,plain,
% 1.83/1.98 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))),
% 1.83/1.98 inference(unit_resolution,[status(thm)],[2360, 2211, 2333])).
% 1.83/1.98 tff(2362,plain,
% 1.83/1.98 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = h4(op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[2361])).
% 1.83/1.98 tff(2363,plain,
% 1.83/1.98 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))),
% 1.83/1.98 inference(transitivity,[status(thm)],[2362, 2328, 1591, 1301, 2319, 2318])).
% 1.83/1.98 tff(2364,plain,
% 1.83/1.98 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h1(e12), h1(e12))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[1592, 1592])).
% 1.83/1.98 tff(2365,plain,
% 1.83/1.98 (op2(h1(e12), h1(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.83/1.98 inference(symmetry,[status(thm)],[2364])).
% 1.83/1.98 tff(2366,plain,
% 1.83/1.98 (h3(e12) = h1(op1(e12, e12))),
% 1.83/1.98 inference(symmetry,[status(thm)],[2267])).
% 1.83/1.98 tff(2367,plain,
% 1.83/1.98 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = h4(op1(e12, e12))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[2121])).
% 1.83/1.98 tff(2368,plain,
% 1.83/1.98 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.83/1.98 inference(transitivity,[status(thm)],[2367, 1538, 2366, 1242, 2365])).
% 1.83/1.98 tff(2369,plain,
% 1.83/1.98 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))) = op2(h1(e12), h2(e12))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[1592, 1588])).
% 1.83/1.98 tff(2370,plain,
% 1.83/1.98 (op2(h1(e12), h2(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))),
% 1.83/1.98 inference(symmetry,[status(thm)],[2369])).
% 1.83/1.98 tff(2371,plain,
% 1.83/1.98 (h4(e12) = op2(h1(e12), h2(e12))),
% 1.83/1.98 inference(symmetry,[status(thm)],[1234])).
% 1.83/1.98 tff(2372,plain,
% 1.83/1.98 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = h4(e12)),
% 1.83/1.98 inference(monotonicity,[status(thm)],[2202])).
% 1.83/1.98 tff(2373,plain,
% 1.83/1.98 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))),
% 1.83/1.98 inference(transitivity,[status(thm)],[2372, 2371, 2370])).
% 1.83/1.98 tff(2374,plain,
% 1.83/1.98 (op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h2(e12), h1(e12))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[1588, 1592])).
% 1.83/1.98 tff(2375,plain,
% 1.83/1.98 (op2(h2(e12), h1(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.83/1.98 inference(symmetry,[status(thm)],[2374])).
% 1.83/1.98 tff(2376,plain,
% 1.83/1.98 ((op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12))) <=> (op2(h4(e12), h1(e12)) = h1(e12))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[1301])).
% 1.83/1.98 tff(2377,plain,
% 1.83/1.98 ((~(op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12)))) <=> (~(op2(h4(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[2376])).
% 1.83/1.98 tff(2378,plain,
% 1.83/1.98 (~(op2(h4(e12), h1(e12)) = h1(e12))),
% 1.83/1.98 inference(modus_ponens,[status(thm)],[679, 2377])).
% 1.83/1.98 tff(2379,plain,
% 1.83/1.98 (((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))) <=> ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2380,plain,
% 1.83/1.98 (((op2(h1(e12), h1(e12)) = h1(e12)) | $false | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2381,plain,
% 1.83/1.98 ((h2(e12) = h1(e12)) <=> $false),
% 1.83/1.98 inference(iff_false,[status(thm)],[1265])).
% 1.83/1.98 tff(2382,plain,
% 1.83/1.98 (((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((op2(h1(e12), h1(e12)) = h1(e12)) | $false | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(monotonicity,[status(thm)],[688, 2381])).
% 1.83/1.98 tff(2383,plain,
% 1.83/1.98 (((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(transitivity,[status(thm)],[2382, 2380])).
% 1.83/1.98 tff(2384,plain,
% 1.83/1.98 (((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2385,plain,
% 1.83/1.98 (((h1(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2386,plain,
% 1.83/1.98 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h4(e12), h1(e12)) = h1(e12))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2387,plain,
% 1.83/1.98 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (h2(e12) = h1(e12))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2388,plain,
% 1.83/1.98 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2389,plain,
% 1.83/1.98 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (h1(op1(e12, e12)) = h1(e12))),
% 1.83/1.98 inference(rewrite,[status(thm)],[])).
% 1.83/1.98 tff(2390,plain,
% 1.83/1.98 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)))),
% 1.83/1.99 inference(monotonicity,[status(thm)],[2389, 2388, 2387, 2386])).
% 1.83/1.99 tff(2391,plain,
% 1.83/1.99 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 1.83/1.99 inference(transitivity,[status(thm)],[2390, 2385])).
% 1.83/1.99 tff(2392,plain,
% 1.83/1.99 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2393,plain,
% 1.83/1.99 ((op2(e23, e20) = e20) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2394,plain,
% 1.83/1.99 ((op2(e22, e20) = e20) <=> (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2395,plain,
% 1.83/1.99 ((op2(e21, e20) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2396,plain,
% 1.83/1.99 (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.83/1.99 inference(monotonicity,[status(thm)],[696, 2395, 2394, 2393])).
% 1.83/1.99 tff(2397,plain,
% 1.83/1.99 (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 1.83/1.99 inference(transitivity,[status(thm)],[2396, 2392])).
% 1.83/1.99 tff(2398,plain,
% 1.83/1.99 (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2399,plain,
% 1.83/1.99 ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2400,plain,
% 1.83/1.99 ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2401,plain,
% 1.83/1.99 (((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)) <=> (((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20))),
% 1.83/1.99 inference(monotonicity,[status(thm)],[2400])).
% 1.83/1.99 tff(2402,plain,
% 1.83/1.99 (((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)) <=> ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20))),
% 1.83/1.99 inference(transitivity,[status(thm)],[2401, 2399])).
% 1.83/1.99 tff(2403,plain,
% 1.83/1.99 ((((op2(e20, e20) = e20) | (op2(e21, e20) = e20)) | (op2(e22, e20) = e20)) | (op2(e23, e20) = e20)),
% 1.83/1.99 inference(and_elim,[status(thm)],[712])).
% 1.83/1.99 tff(2404,plain,
% 1.83/1.99 ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 1.83/1.99 tff(2405,plain,
% 1.83/1.99 ((op2(e20, e20) = e20) | (op2(e21, e20) = e20) | (op2(e22, e20) = e20) | (op2(e23, e20) = e20)),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2404, 2398])).
% 1.83/1.99 tff(2406,plain,
% 1.83/1.99 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2405, 2397])).
% 1.83/1.99 tff(2407,plain,
% 1.83/1.99 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2406, 2392])).
% 1.83/1.99 tff(2408,plain,
% 1.83/1.99 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2407, 2392])).
% 1.83/1.99 tff(2409,plain,
% 1.83/1.99 ((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2408, 2391])).
% 1.83/1.99 tff(2410,plain,
% 1.83/1.99 ((h1(op1(e12, e12)) = h1(e12)) | (h2(e12) = h1(e12)) | (op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2409, 2384])).
% 1.83/1.99 tff(2411,plain,
% 1.83/1.99 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2410, 2383])).
% 1.83/1.99 tff(2412,plain,
% 1.83/1.99 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2411, 2379])).
% 1.83/1.99 tff(2413,plain,
% 1.83/1.99 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2412, 2379])).
% 1.83/1.99 tff(2414,plain,
% 1.83/1.99 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2413, 2379])).
% 1.83/1.99 tff(2415,plain,
% 1.83/1.99 ((op2(h4(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[2414, 2379])).
% 1.83/1.99 tff(2416,plain,
% 1.83/1.99 (op2(h2(e12), h1(e12)) = h1(e12)),
% 1.83/1.99 inference(unit_resolution,[status(thm)],[2415, 2378, 503])).
% 1.83/1.99 tff(2417,plain,
% 1.83/1.99 (h1(e12) = op2(h2(e12), h1(e12))),
% 1.83/1.99 inference(symmetry,[status(thm)],[2416])).
% 1.83/1.99 tff(2418,plain,
% 1.83/1.99 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(e12, op1(e12, e12)) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/1.99 inference(monotonicity,[status(thm)],[2169])).
% 1.83/1.99 tff(2419,plain,
% 1.83/1.99 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.83/1.99 inference(transitivity,[status(thm)],[2418, 1092])).
% 1.83/1.99 tff(2420,plain,
% 1.83/1.99 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.83/1.99 inference(monotonicity,[status(thm)],[2419])).
% 1.83/1.99 tff(2421,plain,
% 1.83/1.99 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.83/1.99 inference(modus_ponens,[status(thm)],[1100, 2420])).
% 1.83/1.99 tff(2422,plain,
% 1.83/1.99 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2423,plain,
% 1.83/1.99 (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.83/1.99 inference(monotonicity,[status(thm)],[1108, 2028, 1974, 2138])).
% 1.83/1.99 tff(2424,plain,
% 1.83/1.99 (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.83/1.99 inference(transitivity,[status(thm)],[2423, 2422])).
% 1.83/1.99 tff(2425,plain,
% 1.83/1.99 (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2426,plain,
% 1.83/1.99 ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13))),
% 1.83/1.99 inference(rewrite,[status(thm)],[])).
% 1.83/1.99 tff(2427,plain,
% 1.83/1.99 ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2428,plain,
% 1.83/2.00 (((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)) <=> (((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))),
% 1.83/2.00 inference(monotonicity,[status(thm)],[2427])).
% 1.83/2.00 tff(2429,plain,
% 1.83/2.00 (((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)) <=> ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13))),
% 1.83/2.00 inference(transitivity,[status(thm)],[2428, 2426])).
% 1.83/2.00 tff(2430,plain,
% 1.83/2.00 ((((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))) & ((((op1(e11, e10) = e10) | (op1(e11, e10) = e11)) | (op1(e11, e10) = e12)) | (op1(e11, e10) = e13))),
% 1.83/2.00 inference(and_elim,[status(thm)],[1007])).
% 1.83/2.00 tff(2431,plain,
% 1.83/2.00 (((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))) & ((((op1(e10, e13) = e10) | (op1(e10, e13) = e11)) | (op1(e10, e13) = e12)) | (op1(e10, e13) = e13))),
% 1.83/2.00 inference(and_elim,[status(thm)],[2430])).
% 1.83/2.00 tff(2432,plain,
% 1.83/2.00 ((((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))) & ((((op1(e10, e12) = e10) | (op1(e10, e12) = e11)) | (op1(e10, e12) = e12)) | (op1(e10, e12) = e13))),
% 1.83/2.00 inference(and_elim,[status(thm)],[2431])).
% 1.83/2.00 tff(2433,plain,
% 1.83/2.00 (((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) & ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13))),
% 1.83/2.00 inference(and_elim,[status(thm)],[2432])).
% 1.83/2.00 tff(2434,plain,
% 1.83/2.00 ((((op1(e10, e11) = e10) | (op1(e10, e11) = e11)) | (op1(e10, e11) = e12)) | (op1(e10, e11) = e13)),
% 1.83/2.00 inference(and_elim,[status(thm)],[2433])).
% 1.83/2.00 tff(2435,plain,
% 1.83/2.00 ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2434, 2429])).
% 1.83/2.00 tff(2436,plain,
% 1.83/2.00 ((op1(e10, e11) = e10) | (op1(e10, e11) = e11) | (op1(e10, e11) = e12) | (op1(e10, e11) = e13)),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2435, 2425])).
% 1.83/2.00 tff(2437,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2436, 2424])).
% 1.83/2.00 tff(2438,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2437, 2422])).
% 1.83/2.00 tff(2439,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2438, 2422])).
% 1.83/2.00 tff(2440,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2439, 2422])).
% 1.83/2.00 tff(2441,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2440, 2422])).
% 1.83/2.00 tff(2442,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2441, 2422])).
% 1.83/2.00 tff(2443,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2442, 2422])).
% 1.83/2.00 tff(2444,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2443, 2422])).
% 1.83/2.00 tff(2445,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2444, 2422])).
% 1.83/2.00 tff(2446,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2445, 2422])).
% 1.83/2.00 tff(2447,plain,
% 1.83/2.00 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.83/2.00 inference(unit_resolution,[status(thm)],[2446, 1970])).
% 1.83/2.00 tff(2448,plain,
% 1.83/2.00 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))),
% 1.83/2.00 inference(unit_resolution,[status(thm)],[2447, 2124, 2421])).
% 1.83/2.00 tff(2449,plain,
% 1.83/2.00 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = h4(op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.00 inference(monotonicity,[status(thm)],[2448])).
% 1.83/2.00 tff(2450,plain,
% 1.83/2.00 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 1.83/2.00 inference(transitivity,[status(thm)],[2449, 2328, 1591, 1301, 2417, 2375])).
% 1.83/2.00 tff(2451,plain,
% 1.83/2.00 (op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))) = op2(h2(e12), h3(e12))),
% 1.83/2.00 inference(monotonicity,[status(thm)],[1588, 1596])).
% 1.83/2.00 tff(2452,plain,
% 1.83/2.00 (op2(h2(e12), h3(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))),
% 1.83/2.00 inference(symmetry,[status(thm)],[2451])).
% 1.83/2.00 tff(2453,plain,
% 1.83/2.00 ((h1(e12) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.00 inference(commutativity,[status(thm)],[])).
% 1.83/2.00 tff(2454,plain,
% 1.83/2.00 ((op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))) <=> (h1(e12) = op2(h2(e12), h3(e12)))),
% 1.83/2.00 inference(monotonicity,[status(thm)],[1541])).
% 1.83/2.00 tff(2455,plain,
% 1.83/2.00 ((op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.00 inference(transitivity,[status(thm)],[2454, 2453])).
% 1.83/2.00 tff(2456,plain,
% 1.83/2.00 ((~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12)))) <=> (~(op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.83/2.00 inference(monotonicity,[status(thm)],[2455])).
% 1.83/2.00 tff(2457,plain,
% 1.83/2.00 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2458,plain,
% 1.83/2.00 ((~(op2(e20, e22) = op2(e21, e22))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12))))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2459,plain,
% 1.83/2.00 ((~(op2(e20, e22) = op2(e21, e22))) <=> (~(op2(e20, e22) = op2(e21, e22)))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2460,plain,
% 1.83/2.00 (~(op2(e20, e22) = op2(e21, e22))),
% 1.83/2.00 inference(and_elim,[status(thm)],[163])).
% 1.83/2.00 tff(2461,plain,
% 1.83/2.00 (~(op2(e20, e22) = op2(e21, e22))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2460, 2459])).
% 1.83/2.00 tff(2462,plain,
% 1.83/2.00 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2461, 2458])).
% 1.83/2.00 tff(2463,plain,
% 1.83/2.00 (~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12)))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2462, 2457])).
% 1.83/2.00 tff(2464,plain,
% 1.83/2.00 (~(op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2463, 2456])).
% 1.83/2.00 tff(2465,plain,
% 1.83/2.00 (((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2466,plain,
% 1.83/2.00 (((op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | $false) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2467,plain,
% 1.83/2.00 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> (~(op2(h2(e12), h3(e12)) = h4(e12)))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2468,plain,
% 1.83/2.00 ((~(op2(e21, e22) = op2(e22, e22))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2469,plain,
% 1.83/2.00 ((~(op2(e21, e22) = op2(e22, e22))) <=> (~(op2(e21, e22) = op2(e22, e22)))),
% 1.83/2.00 inference(rewrite,[status(thm)],[])).
% 1.83/2.00 tff(2470,plain,
% 1.83/2.00 (~(op2(e21, e22) = op2(e22, e22))),
% 1.83/2.00 inference(and_elim,[status(thm)],[160])).
% 1.83/2.00 tff(2471,plain,
% 1.83/2.00 (~(op2(e21, e22) = op2(e22, e22))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 1.83/2.00 tff(2472,plain,
% 1.83/2.00 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2471, 2468])).
% 1.83/2.00 tff(2473,plain,
% 1.83/2.00 (~(op2(h2(e12), h3(e12)) = h4(e12))),
% 1.83/2.00 inference(modus_ponens,[status(thm)],[2472, 2467])).
% 1.83/2.00 tff(2474,plain,
% 1.83/2.00 ((op2(h2(e12), h3(e12)) = h4(e12)) <=> $false),
% 1.83/2.00 inference(iff_false,[status(thm)],[2473])).
% 1.83/2.00 tff(2475,plain,
% 1.83/2.00 (((op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h4(e12))) <=> ((op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | $false)),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2474])).
% 1.83/2.01 tff(2476,plain,
% 1.83/2.01 (((op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h4(e12))) <=> ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 1.83/2.01 inference(transitivity,[status(thm)],[2475, 2466])).
% 1.83/2.01 tff(2477,plain,
% 1.83/2.01 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h4(e12)))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2478,plain,
% 1.83/2.01 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2479,plain,
% 1.83/2.01 ((op2(e21, e22) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2480,plain,
% 1.83/2.01 ((op2(e21, e22) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2481,plain,
% 1.83/2.01 ((op2(e21, e22) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2482,plain,
% 1.83/2.01 (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2481, 636, 2480, 2479])).
% 1.83/2.01 tff(2483,plain,
% 1.83/2.01 (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 1.83/2.01 inference(transitivity,[status(thm)],[2482, 2478])).
% 1.83/2.01 tff(2484,plain,
% 1.83/2.01 (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2485,plain,
% 1.83/2.01 ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2486,plain,
% 1.83/2.01 ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2487,plain,
% 1.83/2.01 (((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)) <=> (((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2486])).
% 1.83/2.01 tff(2488,plain,
% 1.83/2.01 (((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)) <=> ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23))),
% 1.83/2.01 inference(transitivity,[status(thm)],[2487, 2485])).
% 1.83/2.01 tff(2489,plain,
% 1.83/2.01 ((((op2(e21, e22) = e20) | (op2(e21, e22) = e21)) | (op2(e21, e22) = e22)) | (op2(e21, e22) = e23)),
% 1.83/2.01 inference(and_elim,[status(thm)],[1220])).
% 1.83/2.01 tff(2490,plain,
% 1.83/2.01 ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2489, 2488])).
% 1.83/2.01 tff(2491,plain,
% 1.83/2.01 ((op2(e21, e22) = e20) | (op2(e21, e22) = e21) | (op2(e21, e22) = e22) | (op2(e21, e22) = e23)),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2490, 2484])).
% 1.83/2.01 tff(2492,plain,
% 1.83/2.01 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2491, 2483])).
% 1.83/2.01 tff(2493,plain,
% 1.83/2.01 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2492, 2478])).
% 1.83/2.01 tff(2494,plain,
% 1.83/2.01 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2493, 2478])).
% 1.83/2.01 tff(2495,plain,
% 1.83/2.01 ((op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h4(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2494, 2477])).
% 1.83/2.01 tff(2496,plain,
% 1.83/2.01 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2495, 2476])).
% 1.83/2.01 tff(2497,plain,
% 1.83/2.01 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2496, 2465])).
% 1.83/2.01 tff(2498,plain,
% 1.83/2.01 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2497, 2465])).
% 1.83/2.01 tff(2499,plain,
% 1.83/2.01 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2498, 2465])).
% 1.83/2.01 tff(2500,plain,
% 1.83/2.01 ((op2(h2(e12), h3(e12)) = h2(e12)) | (op2(h2(e12), h3(e12)) = h3(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2499, 2465])).
% 1.83/2.01 tff(2501,plain,
% 1.83/2.01 (op2(h2(e12), h3(e12)) = h3(e12)),
% 1.83/2.01 inference(unit_resolution,[status(thm)],[2500, 2464, 31])).
% 1.83/2.01 tff(2502,plain,
% 1.83/2.01 (h3(e12) = op2(h2(e12), h3(e12))),
% 1.83/2.01 inference(symmetry,[status(thm)],[2501])).
% 1.83/2.01 tff(2503,plain,
% 1.83/2.01 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = h4(op1(e12, e12))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2159])).
% 1.83/2.01 tff(2504,plain,
% 1.83/2.01 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))),
% 1.83/2.01 inference(transitivity,[status(thm)],[2503, 1538, 2502, 2452])).
% 1.83/2.01 tff(2505,plain,
% 1.83/2.01 ((h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (h1(e12) = op2(h3(e12), h4(e12)))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2506,plain,
% 1.83/2.01 ((h1(e12) = e20) <=> (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2507,plain,
% 1.83/2.01 ((h1(e12) = e20) <=> (h1(e12) = e20)),
% 1.83/2.01 inference(rewrite,[status(thm)],[])).
% 1.83/2.01 tff(2508,plain,
% 1.83/2.01 (((h1(e12) = e20) & (h1(e10) = op2(e20, op2(e20, e20)))) & (h1(e11) = op2(e20, op2(e20, op2(e20, e20))))),
% 1.83/2.01 inference(and_elim,[status(thm)],[1238])).
% 1.83/2.01 tff(2509,plain,
% 1.83/2.01 ((h1(e12) = e20) & (h1(e10) = op2(e20, op2(e20, e20)))),
% 1.83/2.01 inference(and_elim,[status(thm)],[2508])).
% 1.83/2.01 tff(2510,plain,
% 1.83/2.01 (h1(e12) = e20),
% 1.83/2.01 inference(and_elim,[status(thm)],[2509])).
% 1.83/2.01 tff(2511,plain,
% 1.83/2.01 (h1(e12) = e20),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2510, 2507])).
% 1.83/2.01 tff(2512,plain,
% 1.83/2.01 (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2511, 2506])).
% 1.83/2.01 tff(2513,plain,
% 1.83/2.01 (h1(e12) = op2(h3(e12), h4(e12))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2512, 2505])).
% 1.83/2.01 tff(2514,plain,
% 1.83/2.01 (op2(h3(e12), h4(e12)) = h1(e12)),
% 1.83/2.01 inference(symmetry,[status(thm)],[2513])).
% 1.83/2.01 tff(2515,plain,
% 1.83/2.01 (op2(op2(h4(e12), h4(e12)), h4(e12)) = op2(h3(e12), h4(e12))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[1596])).
% 1.83/2.01 tff(2516,plain,
% 1.83/2.01 (op2(op2(h4(e12), h4(e12)), h4(e12)) = h1(e12)),
% 1.83/2.01 inference(transitivity,[status(thm)],[2515, 2514])).
% 1.83/2.01 tff(2517,plain,
% 1.83/2.01 ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2314])).
% 1.83/2.01 tff(2518,plain,
% 1.83/2.01 ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.83/2.01 inference(transitivity,[status(thm)],[2517, 2010])).
% 1.83/2.01 tff(2519,plain,
% 1.83/2.01 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.01 inference(symmetry,[status(thm)],[2518])).
% 1.83/2.01 tff(2520,plain,
% 1.83/2.01 ((~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2519])).
% 1.83/2.01 tff(2521,plain,
% 1.83/2.01 (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.01 inference(modus_ponens,[status(thm)],[2019, 2520])).
% 1.83/2.01 tff(2522,plain,
% 1.83/2.01 ((op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), e12)) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.01 inference(commutativity,[status(thm)],[])).
% 1.83/2.01 tff(2523,plain,
% 1.83/2.01 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12)) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), e12))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2448])).
% 1.83/2.01 tff(2524,plain,
% 1.83/2.01 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12)) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.01 inference(transitivity,[status(thm)],[2523, 2522])).
% 1.83/2.01 tff(2525,plain,
% 1.83/2.01 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12))) <=> (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/2.01 inference(monotonicity,[status(thm)],[2524])).
% 1.83/2.01 tff(2526,plain,
% 1.83/2.01 ((~(op1(e10, e11) = op1(e10, e12))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12)))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2527,plain,
% 1.83/2.02 ((~(op1(e10, e11) = op1(e10, e12))) <=> (~(op1(e10, e11) = op1(e10, e12)))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2528,plain,
% 1.83/2.02 (~(op1(e10, e11) = op1(e10, e12))),
% 1.83/2.02 inference(and_elim,[status(thm)],[783])).
% 1.83/2.02 tff(2529,plain,
% 1.83/2.02 (~(op1(e10, e11) = op1(e10, e12))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 1.83/2.02 tff(2530,plain,
% 1.83/2.02 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2529, 2526])).
% 1.83/2.02 tff(2531,plain,
% 1.83/2.02 (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2530, 2525])).
% 1.83/2.02 tff(2532,plain,
% 1.83/2.02 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12)) <=> (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(commutativity,[status(thm)],[])).
% 1.83/2.02 tff(2533,plain,
% 1.83/2.02 ((~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2532])).
% 1.83/2.02 tff(2534,plain,
% 1.83/2.02 (~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2082, 2533])).
% 1.83/2.02 tff(2535,plain,
% 1.83/2.02 (((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2536,plain,
% 1.83/2.02 ((op1(e13, e12) = e11) <=> (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2537,plain,
% 1.83/2.02 ((op1(e12, e12) = e11) <=> (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2538,plain,
% 1.83/2.02 ((op1(e11, e12) = e11) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2539,plain,
% 1.83/2.02 (((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11)) <=> ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2027, 2538, 2537, 2536])).
% 1.83/2.02 tff(2540,plain,
% 1.83/2.02 (((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11)) <=> ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2539, 2535])).
% 1.83/2.02 tff(2541,plain,
% 1.83/2.02 (((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11)) <=> ((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2542,plain,
% 1.83/2.02 ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11)) <=> ((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2543,plain,
% 1.83/2.02 ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) <=> ((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2544,plain,
% 1.83/2.02 (((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11)) <=> (((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2543])).
% 1.83/2.02 tff(2545,plain,
% 1.83/2.02 (((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11)) <=> ((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2544, 2542])).
% 1.83/2.02 tff(2546,plain,
% 1.83/2.02 ((((op1(e10, e12) = e11) | (op1(e11, e12) = e11)) | (op1(e12, e12) = e11)) | (op1(e13, e12) = e11)),
% 1.83/2.02 inference(and_elim,[status(thm)],[1066])).
% 1.83/2.02 tff(2547,plain,
% 1.83/2.02 ((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11)),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 1.83/2.02 tff(2548,plain,
% 1.83/2.02 ((op1(e10, e12) = e11) | (op1(e11, e12) = e11) | (op1(e12, e12) = e11) | (op1(e13, e12) = e11)),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2547, 2541])).
% 1.83/2.02 tff(2549,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2548, 2540])).
% 1.83/2.02 tff(2550,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2549, 2535])).
% 1.83/2.02 tff(2551,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2550, 2535])).
% 1.83/2.02 tff(2552,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2551, 2535])).
% 1.83/2.02 tff(2553,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2552, 2535])).
% 1.83/2.02 tff(2554,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2553, 2535])).
% 1.83/2.02 tff(2555,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2554, 2535])).
% 1.83/2.02 tff(2556,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2555, 2535])).
% 1.83/2.02 tff(2557,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2556, 2535])).
% 1.83/2.02 tff(2558,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2557, 2535])).
% 1.83/2.02 tff(2559,plain,
% 1.83/2.02 ((op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(unit_resolution,[status(thm)],[2558, 2534])).
% 1.83/2.02 tff(2560,plain,
% 1.83/2.02 (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))),
% 1.83/2.02 inference(unit_resolution,[status(thm)],[2559, 2531, 2521])).
% 1.83/2.02 tff(2561,plain,
% 1.83/2.02 (h4(op1(op1(e12, e12), e12)) = h4(op1(e12, op1(e12, op1(e12, e12))))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2560])).
% 1.83/2.02 tff(2562,plain,
% 1.83/2.02 (h4(op1(op1(e12, e12), e12)) = op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2561, 2328])).
% 1.83/2.02 tff(2563,plain,
% 1.83/2.02 ((h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) <=> (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2562, 2516])).
% 1.83/2.02 tff(2564,plain,
% 1.83/2.02 ((op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) <=> (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))),
% 1.83/2.02 inference(symmetry,[status(thm)],[2563])).
% 1.83/2.02 tff(2565,plain,
% 1.83/2.02 (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[1592, 2564])).
% 1.83/2.02 tff(2566,plain,
% 1.83/2.02 ((h4(e12) = op2(h2(e12), h4(e12))) <=> (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(commutativity,[status(thm)],[])).
% 1.83/2.02 tff(2567,plain,
% 1.83/2.02 (op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)) = op2(h2(e12), h4(e12))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[1588])).
% 1.83/2.02 tff(2568,plain,
% 1.83/2.02 (op1(op1(e12, op1(e12, e12)), e12) = e12),
% 1.83/2.02 inference(unit_resolution,[status(thm)],[2000, 2163, 2173])).
% 1.83/2.02 tff(2569,plain,
% 1.83/2.02 (h4(op1(op1(e12, op1(e12, e12)), e12)) = h4(e12)),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2568])).
% 1.83/2.02 tff(2570,plain,
% 1.83/2.02 ((h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) <=> (h4(e12) = op2(h2(e12), h4(e12)))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2569, 2567])).
% 1.83/2.02 tff(2571,plain,
% 1.83/2.02 ((h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) <=> (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2570, 2566])).
% 1.83/2.02 tff(2572,plain,
% 1.83/2.02 ((op2(h2(e12), h4(e12)) = h4(e12)) <=> (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))),
% 1.83/2.02 inference(symmetry,[status(thm)],[2571])).
% 1.83/2.02 tff(2573,plain,
% 1.83/2.02 ((h4(e12) = op2(h1(e12), h4(e12))) <=> (op2(h1(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(commutativity,[status(thm)],[])).
% 1.83/2.02 tff(2574,plain,
% 1.83/2.02 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12))) <=> (h4(e12) = op2(h1(e12), h4(e12)))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[1234])).
% 1.83/2.02 tff(2575,plain,
% 1.83/2.02 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12))) <=> (op2(h1(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2574, 2573])).
% 1.83/2.02 tff(2576,plain,
% 1.83/2.02 ((~(op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12)))) <=> (~(op2(h1(e12), h4(e12)) = h4(e12)))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2575])).
% 1.83/2.02 tff(2577,plain,
% 1.83/2.02 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))) <=> (~(op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2578,plain,
% 1.83/2.02 ((~(op2(e20, e21) = op2(e20, e23))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12)))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2579,plain,
% 1.83/2.02 ((~(op2(e20, e21) = op2(e20, e23))) <=> (~(op2(e20, e21) = op2(e20, e23)))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2580,plain,
% 1.83/2.02 (~(op2(e20, e21) = op2(e20, e23))),
% 1.83/2.02 inference(and_elim,[status(thm)],[77])).
% 1.83/2.02 tff(2581,plain,
% 1.83/2.02 (~(op2(e20, e21) = op2(e20, e23))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 1.83/2.02 tff(2582,plain,
% 1.83/2.02 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2581, 2578])).
% 1.83/2.02 tff(2583,plain,
% 1.83/2.02 (~(op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12)))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2582, 2577])).
% 1.83/2.02 tff(2584,plain,
% 1.83/2.02 (~(op2(h1(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2583, 2576])).
% 1.83/2.02 tff(2585,plain,
% 1.83/2.02 ((op2(h4(e12), h4(e12)) = h4(e12)) <=> (h3(e12) = h4(e12))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[1596])).
% 1.83/2.02 tff(2586,plain,
% 1.83/2.02 ((op2(h4(e12), h4(e12)) = h4(e12)) <=> (h4(e12) = h3(e12))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2585, 1312])).
% 1.83/2.02 tff(2587,plain,
% 1.83/2.02 ((h4(e12) = h3(e12)) <=> (op2(h4(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(symmetry,[status(thm)],[2586])).
% 1.83/2.02 tff(2588,plain,
% 1.83/2.02 ((~(h4(e12) = h3(e12))) <=> (~(op2(h4(e12), h4(e12)) = h4(e12)))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2587])).
% 1.83/2.02 tff(2589,plain,
% 1.83/2.02 (~(op2(h4(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[1321, 2588])).
% 1.83/2.02 tff(2590,plain,
% 1.83/2.02 (((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2591,plain,
% 1.83/2.02 (((op2(h4(e12), h4(e12)) = h4(e12)) | $false | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2592,plain,
% 1.83/2.02 ((~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> (~(h1(e12) = h4(e12)))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2593,plain,
% 1.83/2.02 ((~(e20 = e23)) <=> (~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2594,plain,
% 1.83/2.02 ((~(e20 = e23)) <=> (~(e20 = e23))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2595,plain,
% 1.83/2.02 (~(e20 = e23)),
% 1.83/2.02 inference(and_elim,[status(thm)],[215])).
% 1.83/2.02 tff(2596,plain,
% 1.83/2.02 (~(e20 = e23)),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 1.83/2.02 tff(2597,plain,
% 1.83/2.02 (~(op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2596, 2593])).
% 1.83/2.02 tff(2598,plain,
% 1.83/2.02 (~(h1(e12) = h4(e12))),
% 1.83/2.02 inference(modus_ponens,[status(thm)],[2597, 2592])).
% 1.83/2.02 tff(2599,plain,
% 1.83/2.02 ((h1(e12) = h4(e12)) <=> $false),
% 1.83/2.02 inference(iff_false,[status(thm)],[2598])).
% 1.83/2.02 tff(2600,plain,
% 1.83/2.02 ((h4(op1(e12, e12)) = h4(e12)) <=> (op2(h4(e12), h4(e12)) = h4(e12))),
% 1.83/2.02 inference(rewrite,[status(thm)],[])).
% 1.83/2.02 tff(2601,plain,
% 1.83/2.02 (((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h4(e12), h4(e12)) = h4(e12)) | $false | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.02 inference(monotonicity,[status(thm)],[2600, 2599])).
% 1.83/2.02 tff(2602,plain,
% 1.83/2.02 (((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.02 inference(transitivity,[status(thm)],[2601, 2591])).
% 1.83/2.02 tff(2603,plain,
% 1.83/2.02 (((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))) <=> ((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2604,plain,
% 1.83/2.03 (((op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h4(op1(e12, e12)) = h4(e12))) <=> ((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2605,plain,
% 1.83/2.03 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (h4(op1(e12, e12)) = h4(e12))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2606,plain,
% 1.83/2.03 ((op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (h1(e12) = h4(e12))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2607,plain,
% 1.83/2.03 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2608,plain,
% 1.83/2.03 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) <=> (op2(h1(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2609,plain,
% 1.83/2.03 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h4(op1(e12, e12)) = h4(e12)))),
% 1.83/2.03 inference(monotonicity,[status(thm)],[2608, 2607, 2606, 2605])).
% 1.83/2.03 tff(2610,plain,
% 1.83/2.03 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12)))),
% 1.83/2.03 inference(transitivity,[status(thm)],[2609, 2604])).
% 1.83/2.03 tff(2611,plain,
% 1.83/2.03 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2612,plain,
% 1.83/2.03 ((op2(e22, e23) = e23) <=> (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2613,plain,
% 1.83/2.03 ((op2(e21, e23) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2614,plain,
% 1.83/2.03 ((op2(e20, e23) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2615,plain,
% 1.83/2.03 (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.83/2.03 inference(monotonicity,[status(thm)],[2614, 2613, 2612, 1448])).
% 1.83/2.03 tff(2616,plain,
% 1.83/2.03 (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 1.83/2.03 inference(transitivity,[status(thm)],[2615, 2611])).
% 1.83/2.03 tff(2617,plain,
% 1.83/2.03 (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2618,plain,
% 1.83/2.03 ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2619,plain,
% 1.83/2.03 ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23))),
% 1.83/2.03 inference(rewrite,[status(thm)],[])).
% 1.83/2.03 tff(2620,plain,
% 1.83/2.03 (((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)) <=> (((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23))),
% 1.83/2.03 inference(monotonicity,[status(thm)],[2619])).
% 1.83/2.03 tff(2621,plain,
% 1.83/2.03 (((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)) <=> ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23))),
% 1.83/2.03 inference(transitivity,[status(thm)],[2620, 2618])).
% 1.83/2.03 tff(2622,plain,
% 1.83/2.03 ((((op2(e20, e23) = e23) | (op2(e21, e23) = e23)) | (op2(e22, e23) = e23)) | (op2(e23, e23) = e23)),
% 1.83/2.03 inference(and_elim,[status(thm)],[572])).
% 1.83/2.03 tff(2623,plain,
% 1.83/2.03 ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 1.83/2.03 tff(2624,plain,
% 1.83/2.03 ((op2(e20, e23) = e23) | (op2(e21, e23) = e23) | (op2(e22, e23) = e23) | (op2(e23, e23) = e23)),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2623, 2617])).
% 1.83/2.03 tff(2625,plain,
% 1.83/2.03 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2624, 2616])).
% 1.83/2.03 tff(2626,plain,
% 1.83/2.03 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2625, 2611])).
% 1.83/2.03 tff(2627,plain,
% 1.83/2.03 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2626, 2611])).
% 1.83/2.03 tff(2628,plain,
% 1.83/2.03 ((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2627, 2610])).
% 1.83/2.03 tff(2629,plain,
% 1.83/2.03 ((h4(op1(e12, e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2628, 2603])).
% 1.83/2.03 tff(2630,plain,
% 1.83/2.03 ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2629, 2602])).
% 1.83/2.03 tff(2631,plain,
% 1.83/2.03 ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2630, 2590])).
% 1.83/2.03 tff(2632,plain,
% 1.83/2.03 ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2631, 2590])).
% 1.83/2.03 tff(2633,plain,
% 1.83/2.03 ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2632, 2590])).
% 1.83/2.03 tff(2634,plain,
% 1.83/2.03 ((op2(h4(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h2(e12), h4(e12)) = h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2633, 2590])).
% 1.83/2.03 tff(2635,plain,
% 1.83/2.03 (op2(h2(e12), h4(e12)) = h4(e12)),
% 1.83/2.03 inference(unit_resolution,[status(thm)],[2634, 2589, 2584])).
% 1.83/2.03 tff(2636,plain,
% 1.83/2.03 (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))),
% 1.83/2.03 inference(modus_ponens,[status(thm)],[2635, 2572])).
% 1.83/2.03 tff(2637,plain,
% 1.83/2.03 ((~(~((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))))) <=> ((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))))),
% 1.83/2.04 inference(rewrite,[status(thm)],[])).
% 1.83/2.04 tff(2638,plain,
% 1.83/2.04 (((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))) <=> (~((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))))),
% 1.83/2.04 inference(rewrite,[status(thm)],[])).
% 1.83/2.04 tff(2639,plain,
% 1.83/2.04 (((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) <=> ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))),
% 1.83/2.04 inference(rewrite,[status(thm)],[])).
% 1.83/2.04 tff(2640,plain,
% 1.83/2.04 (((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))) <=> ((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.83/2.05 inference(monotonicity,[status(thm)],[2639])).
% 1.83/2.05 tff(2641,plain,
% 1.83/2.05 (((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))) <=> (~((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))))),
% 1.83/2.05 inference(transitivity,[status(thm)],[2640, 2638])).
% 1.83/2.05 tff(2642,plain,
% 1.83/2.05 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))) <=> (~(~((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))))))),
% 1.83/2.05 inference(monotonicity,[status(thm)],[2641])).
% 1.83/2.05 tff(2643,plain,
% 1.83/2.05 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))) <=> ((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))))),
% 1.83/2.06 inference(transitivity,[status(thm)],[2642, 2637])).
% 1.83/2.06 tff(2644,plain,
% 1.83/2.06 (((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))) <=> ((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.83/2.06 inference(rewrite,[status(thm)],[])).
% 1.83/2.06 tff(2645,plain,
% 1.83/2.06 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))) <=> (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))))),
% 1.83/2.07 inference(monotonicity,[status(thm)],[2644])).
% 1.83/2.07 tff(2646,plain,
% 1.83/2.07 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))) <=> (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12)))))),
% 1.92/2.07 inference(rewrite,[status(thm)],[])).
% 1.92/2.07 tff(2647,plain,
% 1.92/2.07 (((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) <=> ((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 1.92/2.07 inference(rewrite,[status(thm)],[])).
% 1.92/2.07 tff(2648,plain,
% 1.92/2.07 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))) <=> (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))))),
% 1.92/2.08 inference(monotonicity,[status(thm)],[2647])).
% 1.92/2.08 tff(2649,plain,
% 1.92/2.08 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))) <=> (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))))),
% 1.94/2.09 inference(rewrite,[status(thm)],[])).
% 1.94/2.09 tff(2650,plain,
% 1.94/2.09 (((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))) <=> ((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 1.94/2.09 inference(rewrite,[status(thm)],[])).
% 1.94/2.09 tff(2651,plain,
% 1.94/2.09 ((~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))) <=> (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))))),
% 1.94/2.09 inference(monotonicity,[status(thm)],[2650])).
% 1.94/2.09 tff(2652,plain,
% 1.94/2.09 ((~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)))) <=> (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))))),
% 1.94/2.10 inference(rewrite,[status(thm)],[])).
% 1.94/2.10 tff(2653,plain,
% 1.94/2.10 ((~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)))) <=> (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22))))),
% 1.94/2.10 inference(rewrite,[status(thm)],[])).
% 1.94/2.10 tff(2654,plain,
% 1.94/2.10 ((~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23)))) <=> (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22))))),
% 1.94/2.10 inference(rewrite,[status(thm)],[])).
% 1.94/2.10 tff(2655,plain,
% 1.94/2.10 (((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23))) <=> ((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23)))),
% 1.94/2.10 inference(rewrite,[status(thm)],[])).
% 1.94/2.10 tff(2656,plain,
% 1.94/2.10 ((~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23)))) <=> (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23))))),
% 1.94/2.11 inference(monotonicity,[status(thm)],[2655])).
% 1.94/2.11 tff(2657,plain,
% 1.94/2.11 ((~((((((((((((((((((((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11)))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12)))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13)))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10)))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11)))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12)))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13)))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10)))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11)))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13)))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10)))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11)))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12)))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13)))) & ((((h4(e10) = e20) | (h4(e11) = e20)) | (h4(e12) = e20)) | (h4(e13) = e20))) & ((((h4(e10) = e21) | (h4(e11) = e21)) | (h4(e12) = e21)) | (h4(e13) = e21))) & ((((h4(e10) = e22) | (h4(e11) = e22)) | (h4(e12) = e22)) | (h4(e13) = e22))) & ((((h4(e10) = e23) | (h4(e11) = e23)) | (h4(e12) = e23)) | (h4(e13) = e23)))) <=> (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23))))),
% 1.94/2.11 inference(rewrite,[status(thm)],[])).
% 1.94/2.11 tff(2658,axiom,(~(((((((((((((((((((((((h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & (h1(op1(e10, e11)) = op2(h1(e10), h1(e11)))) & (h1(op1(e10, e12)) = op2(h1(e10), h1(e12)))) & (h1(op1(e10, e13)) = op2(h1(e10), h1(e13)))) & (h1(op1(e11, e10)) = op2(h1(e11), h1(e10)))) & (h1(op1(e11, e11)) = op2(h1(e11), h1(e11)))) & (h1(op1(e11, e12)) = op2(h1(e11), h1(e12)))) & (h1(op1(e11, e13)) = op2(h1(e11), h1(e13)))) & (h1(op1(e12, e10)) = op2(h1(e12), h1(e10)))) & (h1(op1(e12, e11)) = op2(h1(e12), h1(e11)))) & (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))) & (h1(op1(e12, e13)) = op2(h1(e12), h1(e13)))) & (h1(op1(e13, e10)) = op2(h1(e13), h1(e10)))) & (h1(op1(e13, e11)) = op2(h1(e13), h1(e11)))) & (h1(op1(e13, e12)) = op2(h1(e13), h1(e12)))) & (h1(op1(e13, e13)) = op2(h1(e13), h1(e13)))) & ((((h1(e10) = e20) | (h1(e11) = e20)) | (h1(e12) = e20)) | (h1(e13) = e20))) & ((((h1(e10) = e21) | (h1(e11) = e21)) | (h1(e12) = e21)) | (h1(e13) = e21))) & ((((h1(e10) = e22) | (h1(e11) = e22)) | (h1(e12) = e22)) | (h1(e13) = e22))) & ((((h1(e10) = e23) | (h1(e11) = e23)) | (h1(e12) = e23)) | (h1(e13) = e23))) | ((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23)))) | ((((((((((((((((((((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13)))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12)))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11)))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13)))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11)))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12)))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))) & ((((h3(e10) = e20) | (h3(e11) = e20)) | (h3(e12) = e20)) | (h3(e13) = e20))) & ((((h3(e10) = e21) | (h3(e11) = e21)) | (h3(e12) = e21)) | (h3(e13) = e21))) & ((((h3(e10) = e22) | (h3(e11) = e22)) | (h3(e12) = e22)) | (h3(e13) = e22))) & ((((h3(e10) = e23) | (h3(e11) = e23)) | (h3(e12) = e23)) | (h3(e13) = e23)))) | ((((((((((((((((((((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11)))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12)))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13)))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10)))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11)))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12)))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13)))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10)))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11)))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13)))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10)))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11)))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12)))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13)))) & ((((h4(e10) = e20) | (h4(e11) = e20)) | (h4(e12) = e20)) | (h4(e13) = e20))) & ((((h4(e10) = e21) | (h4(e11) = e21)) | (h4(e12) = e21)) | (h4(e13) = e21))) & ((((h4(e10) = e22) | (h4(e11) = e22)) | (h4(e12) = e22)) | (h4(e13) = e22))) & ((((h4(e10) = e23) | (h4(e11) = e23)) | (h4(e12) = e23)) | (h4(e13) = e23))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','co1')).
% 1.97/2.11 tff(2659,plain,
% 1.97/2.11 (~((((((((((((((((((((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11)))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12)))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13)))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10)))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11)))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12)))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13)))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10)))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11)))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12)))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13)))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10)))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11)))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12)))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13)))) & ((((h4(e10) = e20) | (h4(e11) = e20)) | (h4(e12) = e20)) | (h4(e13) = e20))) & ((((h4(e10) = e21) | (h4(e11) = e21)) | (h4(e12) = e21)) | (h4(e13) = e21))) & ((((h4(e10) = e22) | (h4(e11) = e22)) | (h4(e12) = e22)) | (h4(e13) = e22))) & ((((h4(e10) = e23) | (h4(e11) = e23)) | (h4(e12) = e23)) | (h4(e13) = e23)))),
% 1.97/2.12 inference(or_elim,[status(thm)],[2658])).
% 1.97/2.12 tff(2660,plain,
% 1.97/2.12 (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23)))),
% 1.97/2.12 inference(modus_ponens,[status(thm)],[2659, 2657])).
% 1.97/2.12 tff(2661,plain,
% 1.97/2.12 (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)) & ((h4(e12) = e23) | (h4(e10) = e23) | (h4(e11) = e23) | (h4(e13) = e23)))),
% 1.97/2.12 inference(modus_ponens,[status(thm)],[2660, 2656])).
% 1.97/2.12 tff(2662,plain,
% 1.97/2.12 (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)))),
% 1.97/2.12 inference(modus_ponens,[status(thm)],[2661, 2654])).
% 1.97/2.13 tff(2663,plain,
% 1.97/2.13 (~((h4(op1(e10, e10)) = op2(h4(e10), h4(e10))) & (h4(op1(e10, e11)) = op2(h4(e10), h4(e11))) & (h4(op1(e10, e12)) = op2(h4(e10), h4(e12))) & (h4(op1(e10, e13)) = op2(h4(e10), h4(e13))) & (h4(op1(e11, e10)) = op2(h4(e11), h4(e10))) & (h4(op1(e11, e11)) = op2(h4(e11), h4(e11))) & (h4(op1(e11, e12)) = op2(h4(e11), h4(e12))) & (h4(op1(e11, e13)) = op2(h4(e11), h4(e13))) & (h4(op1(e12, e10)) = op2(h4(e12), h4(e10))) & (h4(op1(e12, e11)) = op2(h4(e12), h4(e11))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, e13)) = op2(h4(e12), h4(e13))) & (h4(op1(e13, e10)) = op2(h4(e13), h4(e10))) & (h4(op1(e13, e11)) = op2(h4(e13), h4(e11))) & (h4(op1(e13, e12)) = op2(h4(e13), h4(e12))) & (h4(op1(e13, e13)) = op2(h4(e13), h4(e13))) & ((h4(e10) = e20) | (h4(e11) = e20) | (h4(e12) = e20) | (h4(e13) = e20)) & ((h4(e10) = e21) | (h4(e11) = e21) | (h4(e12) = e21) | (h4(e13) = e21)) & ((h4(e10) = e22) | (h4(e11) = e22) | (h4(e12) = e22) | (h4(e13) = e22)))),
% 1.97/2.13 inference(modus_ponens,[status(thm)],[2662, 2653])).
% 1.97/2.13 tff(2664,plain,
% 1.97/2.13 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 1.97/2.13 inference(modus_ponens,[status(thm)],[2663, 2652])).
% 1.97/2.13 tff(2665,plain,
% 1.97/2.13 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h4(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h4(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[2664, 2651])).
% 1.98/2.14 tff(2666,plain,
% 1.98/2.14 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[2665, 2649])).
% 1.98/2.14 tff(2667,plain,
% 1.98/2.14 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(h4(op1(e12, op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, e12))), h4(op1(e12, e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h4(op1(e12, op1(e12, op1(e12, e12)))), h4(op1(e12, e12)))) & (h4(op1(e12, op1(e12, op1(e12, e12)))) = op2(h4(e12), h4(op1(e12, op1(e12, e12))))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(e12, e12)) = op2(h4(e12), h4(e12))) & (h4(op1(e12, op1(e12, e12))) = op2(h4(e12), h4(op1(e12, e12)))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(op1(e12, e12)), h4(op1(e12, op1(e12, op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(h4(op1(e12, e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(op1(e12, e12)), h4(op1(e12, e12)))) & ((h4(op1(e12, op1(e12, op1(e12, e12)))) = h1(e12)) | (h4(op1(e12, op1(e12, e12))) = h1(e12)) | (h4(e12) = h1(e12)) | (h4(op1(e12, e12)) = h1(e12))) & ((h4(op1(e12, op1(e12, e12))) = h2(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)) | (h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) & ((h4(op1(e12, op1(e12, e12))) = h3(e12)) | (h4(op1(e12, op1(e12, op1(e12, e12)))) = h3(e12)) | (h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))))),
% 1.98/2.14 inference(modus_ponens,[status(thm)],[2666, 2648])).
% 1.98/2.14 tff(2668,plain,
% 1.98/2.14 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[2667, 2646])).
% 1.98/2.15 tff(2669,plain,
% 1.98/2.15 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.15 inference(modus_ponens,[status(thm)],[2668, 2645])).
% 1.98/2.15 tff(2670,plain,
% 1.98/2.15 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.16 inference(modus_ponens,[status(thm)],[2669, 2645])).
% 1.98/2.16 tff(2671,plain,
% 1.98/2.16 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.16 inference(modus_ponens,[status(thm)],[2670, 2645])).
% 1.98/2.16 tff(2672,plain,
% 1.98/2.16 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.16 inference(modus_ponens,[status(thm)],[2671, 2645])).
% 1.98/2.16 tff(2673,plain,
% 1.98/2.16 (~((h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))) & (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))) & (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))) & (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))) & (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))) & (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))) & (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))) & ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))) & ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))) & ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.16 inference(modus_ponens,[status(thm)],[2672, 2645])).
% 1.98/2.16 tff(2674,plain,
% 1.98/2.16 ((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))))) | (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12)))) | (~((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12)))) | (~((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))))),
% 1.98/2.17 inference(modus_ponens,[status(thm)],[2673, 2643])).
% 1.98/2.17 tff(2675,plain,
% 1.98/2.17 ($false),
% 1.98/2.17 inference(unit_resolution,[status(thm)],[2674, 2636, 2565, 2504, 2450, 2373, 2368, 2363, 2316, 2283, 2278, 2273, 2264, 2241, 1594, 1590, 1540])).
% 1.98/2.17 tff(2676,plain,((op2(h1(e12), h2(e12)) = h1(e12)) | (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) | (~(op2(h2(e12), h2(e12)) = h2(e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))), inference(lemma,lemma(discharge,[]))).
% 1.98/2.17 tff(2677,plain,
% 1.98/2.17 ($false),
% 1.98/2.17 inference(unit_resolution,[status(thm)],[2676, 1129, 1091, 682, 1022, 3, 924])).
% 1.98/2.17 tff(2678,plain,((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (~(op2(h2(e12), h2(e12)) = h2(e12)))), inference(lemma,lemma(discharge,[]))).
% 1.98/2.17 tff(2679,plain,
% 1.98/2.17 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))),
% 1.98/2.17 inference(unit_resolution,[status(thm)],[2678, 3])).
% 1.98/2.17 tff(2680,plain,
% 1.98/2.17 (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 1.98/2.17 inference(unit_resolution,[status(thm)],[2056, 2679])).
% 1.98/2.17 tff(2681,plain,
% 1.98/2.17 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12)))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.17 inference(tautology,[status(thm)],[])).
% 1.98/2.17 tff(2682,plain,
% 1.98/2.17 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.98/2.17 inference(unit_resolution,[status(thm)],[2681, 2680])).
% 1.98/2.17 tff(2683,plain,
% 1.98/2.17 ((op1(e12, e12) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.17 inference(commutativity,[status(thm)],[])).
% 1.98/2.17 tff(2684,plain,
% 1.98/2.17 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.98/2.17 inference(monotonicity,[status(thm)],[2112])).
% 1.98/2.17 tff(2685,plain,
% 1.98/2.17 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.17 inference(transitivity,[status(thm)],[2684, 2683])).
% 1.98/2.17 tff(2686,plain,
% 1.98/2.17 ((~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.17 inference(monotonicity,[status(thm)],[2685])).
% 1.98/2.18 tff(2687,plain,
% 1.98/2.18 ((~(op1(e13, e10) = op1(e13, e11))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2688,plain,
% 1.98/2.18 ((~(op1(e13, e10) = op1(e13, e11))) <=> (~(op1(e13, e10) = op1(e13, e11)))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2689,plain,
% 1.98/2.18 (~(op1(e13, e10) = op1(e13, e11))),
% 1.98/2.18 inference(and_elim,[status(thm)],[768])).
% 1.98/2.18 tff(2690,plain,
% 1.98/2.18 (~(op1(e13, e10) = op1(e13, e11))),
% 1.98/2.18 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 1.98/2.18 tff(2691,plain,
% 1.98/2.18 (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 1.98/2.18 inference(modus_ponens,[status(thm)],[2690, 2687])).
% 1.98/2.18 tff(2692,plain,
% 1.98/2.18 (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.18 inference(modus_ponens,[status(thm)],[2691, 2686])).
% 1.98/2.18 tff(2693,plain,
% 1.98/2.18 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 1.98/2.18 inference(monotonicity,[status(thm)],[2679])).
% 1.98/2.18 tff(2694,plain,
% 1.98/2.18 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) <=> (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 1.98/2.18 inference(transitivity,[status(thm)],[2693, 2532])).
% 1.98/2.18 tff(2695,plain,
% 1.98/2.18 ((op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.18 inference(symmetry,[status(thm)],[2694])).
% 1.98/2.18 tff(2696,plain,
% 1.98/2.18 ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(monotonicity,[status(thm)],[2695])).
% 1.98/2.18 tff(2697,plain,
% 1.98/2.18 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.18 inference(modus_ponens,[status(thm)],[2534, 2696])).
% 1.98/2.18 tff(2698,plain,
% 1.98/2.18 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2699,plain,
% 1.98/2.18 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2700,plain,
% 1.98/2.18 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(monotonicity,[status(thm)],[942])).
% 1.98/2.18 tff(2701,plain,
% 1.98/2.18 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(transitivity,[status(thm)],[2700, 2699])).
% 1.98/2.18 tff(2702,plain,
% 1.98/2.18 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2703,plain,
% 1.98/2.18 ((op1(e13, e11) = e13) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2704,plain,
% 1.98/2.18 (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(monotonicity,[status(thm)],[2138, 993, 952, 2703])).
% 1.98/2.18 tff(2705,plain,
% 1.98/2.18 (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 1.98/2.18 inference(transitivity,[status(thm)],[2704, 2702])).
% 1.98/2.18 tff(2706,plain,
% 1.98/2.18 (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2707,plain,
% 1.98/2.18 ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2708,plain,
% 1.98/2.18 ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13))),
% 1.98/2.18 inference(rewrite,[status(thm)],[])).
% 1.98/2.18 tff(2709,plain,
% 1.98/2.18 (((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)) <=> (((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13))),
% 1.98/2.18 inference(monotonicity,[status(thm)],[2708])).
% 1.98/2.18 tff(2710,plain,
% 1.98/2.18 (((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)) <=> ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13))),
% 1.98/2.18 inference(transitivity,[status(thm)],[2709, 2707])).
% 1.98/2.18 tff(2711,plain,
% 1.98/2.18 ((((op1(e10, e11) = e13) | (op1(e11, e11) = e13)) | (op1(e12, e11) = e13)) | (op1(e13, e11) = e13)),
% 1.98/2.18 inference(and_elim,[status(thm)],[1070])).
% 1.98/2.18 tff(2712,plain,
% 1.98/2.18 ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)),
% 1.98/2.18 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 1.98/2.18 tff(2713,plain,
% 1.98/2.18 ((op1(e10, e11) = e13) | (op1(e11, e11) = e13) | (op1(e12, e11) = e13) | (op1(e13, e11) = e13)),
% 1.98/2.18 inference(modus_ponens,[status(thm)],[2712, 2706])).
% 1.98/2.18 tff(2714,plain,
% 1.98/2.18 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2713, 2705])).
% 1.98/2.19 tff(2715,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2714, 2702])).
% 1.98/2.19 tff(2716,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2715, 2702])).
% 1.98/2.19 tff(2717,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2716, 2701])).
% 1.98/2.19 tff(2718,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2717, 2698])).
% 1.98/2.19 tff(2719,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2718, 2698])).
% 1.98/2.19 tff(2720,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2719, 2698])).
% 1.98/2.19 tff(2721,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2720, 2698])).
% 1.98/2.19 tff(2722,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2721, 2698])).
% 1.98/2.19 tff(2723,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 1.98/2.19 inference(modus_ponens,[status(thm)],[2722, 2698])).
% 1.98/2.19 tff(2724,plain,
% 1.98/2.19 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)),
% 1.98/2.19 inference(unit_resolution,[status(thm)],[2723, 2697, 2692])).
% 1.98/2.19 tff(2725,plain,
% 1.98/2.19 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) <=> (op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.19 inference(monotonicity,[status(thm)],[2724])).
% 1.98/2.19 tff(2726,plain,
% 1.98/2.19 ((op1(e12, e12) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.98/2.19 inference(symmetry,[status(thm)],[2725])).
% 1.98/2.19 tff(2727,plain,
% 1.98/2.19 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(monotonicity,[status(thm)],[2726])).
% 1.98/2.20 tff(2728,plain,
% 1.98/2.20 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(modus_ponens,[status(thm)],[834, 2727])).
% 1.98/2.20 tff(2729,plain,
% 1.98/2.20 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2730,plain,
% 1.98/2.20 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | $false) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2731,plain,
% 1.98/2.20 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | $false)),
% 1.98/2.20 inference(monotonicity,[status(thm)],[866])).
% 1.98/2.20 tff(2732,plain,
% 1.98/2.20 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(transitivity,[status(thm)],[2731, 2730])).
% 1.98/2.20 tff(2733,plain,
% 1.98/2.20 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2734,plain,
% 1.98/2.20 ((op1(e10, e13) = e10) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2735,plain,
% 1.98/2.20 ((op1(e10, e12) = e10) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2736,plain,
% 1.98/2.20 ((op1(e10, e10) = e10) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2737,plain,
% 1.98/2.20 (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(monotonicity,[status(thm)],[2736, 1108, 2735, 2734])).
% 1.98/2.20 tff(2738,plain,
% 1.98/2.20 (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 1.98/2.20 inference(transitivity,[status(thm)],[2737, 2733])).
% 1.98/2.20 tff(2739,plain,
% 1.98/2.20 (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2740,plain,
% 1.98/2.20 ((((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2741,plain,
% 1.98/2.20 ((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10))),
% 1.98/2.20 inference(rewrite,[status(thm)],[])).
% 1.98/2.20 tff(2742,plain,
% 1.98/2.20 (((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) <=> (((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10))),
% 1.98/2.20 inference(monotonicity,[status(thm)],[2741])).
% 1.98/2.20 tff(2743,plain,
% 1.98/2.20 (((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10))),
% 1.98/2.20 inference(transitivity,[status(thm)],[2742, 2740])).
% 1.98/2.20 tff(2744,plain,
% 1.98/2.20 (((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)) & ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))),
% 1.98/2.20 inference(and_elim,[status(thm)],[2038])).
% 1.98/2.20 tff(2745,plain,
% 1.98/2.20 ((((op1(e10, e10) = e10) | (op1(e10, e11) = e10)) | (op1(e10, e12) = e10)) | (op1(e10, e13) = e10)),
% 1.98/2.20 inference(and_elim,[status(thm)],[2744])).
% 1.98/2.20 tff(2746,plain,
% 1.98/2.20 ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)),
% 1.98/2.20 inference(modus_ponens,[status(thm)],[2745, 2743])).
% 1.98/2.20 tff(2747,plain,
% 1.98/2.20 ((op1(e10, e10) = e10) | (op1(e10, e11) = e10) | (op1(e10, e12) = e10) | (op1(e10, e13) = e10)),
% 1.98/2.20 inference(modus_ponens,[status(thm)],[2746, 2739])).
% 1.98/2.20 tff(2748,plain,
% 1.98/2.20 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(modus_ponens,[status(thm)],[2747, 2738])).
% 1.98/2.20 tff(2749,plain,
% 1.98/2.20 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(modus_ponens,[status(thm)],[2748, 2733])).
% 1.98/2.20 tff(2750,plain,
% 1.98/2.20 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 1.98/2.20 inference(modus_ponens,[status(thm)],[2749, 2733])).
% 1.98/2.20 tff(2751,plain,
% 1.98/2.20 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2750, 2732])).
% 1.98/2.21 tff(2752,plain,
% 1.98/2.21 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2751, 2729])).
% 1.98/2.21 tff(2753,plain,
% 1.98/2.21 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2752, 2729])).
% 1.98/2.21 tff(2754,plain,
% 1.98/2.21 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2753, 2729])).
% 1.98/2.21 tff(2755,plain,
% 1.98/2.21 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2754, 2729])).
% 1.98/2.21 tff(2756,plain,
% 1.98/2.21 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2755, 2729])).
% 1.98/2.21 tff(2757,plain,
% 1.98/2.21 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2756, 2729])).
% 1.98/2.21 tff(2758,plain,
% 1.98/2.21 (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[2757, 2728, 2682])).
% 1.98/2.21 tff(2759,plain,
% 1.98/2.21 (h3(op1(op1(e12, op1(e12, e12)), e12)) = h3(op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2758])).
% 1.98/2.21 tff(2760,plain,
% 1.98/2.21 (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))),
% 1.98/2.21 inference(transitivity,[status(thm)],[2759, 736, 726])).
% 1.98/2.21 tff(2761,plain,
% 1.98/2.21 (op2(h1(e12), h2(e12)) = h4(e12)),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[1233, 682, 1142])).
% 1.98/2.21 tff(2762,plain,
% 1.98/2.21 (h4(e12) = op2(h1(e12), h2(e12))),
% 1.98/2.21 inference(symmetry,[status(thm)],[2761])).
% 1.98/2.21 tff(2763,plain,
% 1.98/2.21 ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) <=> (h3(op1(e12, e12)) = h4(e12))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2764,plain,
% 1.98/2.21 ((h3(e13) = op2(e22, e22)) <=> (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2765,plain,
% 1.98/2.21 ((h3(e13) = op2(e22, e22)) <=> (h3(e13) = op2(e22, e22))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2766,plain,
% 1.98/2.21 (h3(e13) = op2(e22, e22)),
% 1.98/2.21 inference(and_elim,[status(thm)],[730])).
% 1.98/2.21 tff(2767,plain,
% 1.98/2.21 (h3(e13) = op2(e22, e22)),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 1.98/2.21 tff(2768,plain,
% 1.98/2.21 (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2767, 2764])).
% 1.98/2.21 tff(2769,plain,
% 1.98/2.21 (h3(op1(e12, e12)) = h4(e12)),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2768, 2763])).
% 1.98/2.21 tff(2770,plain,
% 1.98/2.21 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = h3(op1(e12, e12))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2724])).
% 1.98/2.21 tff(2771,plain,
% 1.98/2.21 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))),
% 1.98/2.21 inference(transitivity,[status(thm)],[2770, 2769, 2762])).
% 1.98/2.21 tff(2772,plain,
% 1.98/2.21 ((h4(e12) = op2(h4(e12), h1(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 1.98/2.21 inference(commutativity,[status(thm)],[])).
% 1.98/2.21 tff(2773,plain,
% 1.98/2.21 (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = h3(op1(e12, e12))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2112])).
% 1.98/2.21 tff(2774,plain,
% 1.98/2.21 (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = h4(e12)),
% 1.98/2.21 inference(transitivity,[status(thm)],[2773, 2769])).
% 1.98/2.21 tff(2775,plain,
% 1.98/2.21 ((h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) <=> (h4(e12) = op2(h4(e12), h1(e12)))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2774])).
% 1.98/2.21 tff(2776,plain,
% 1.98/2.21 ((h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 1.98/2.21 inference(transitivity,[status(thm)],[2775, 2772])).
% 1.98/2.21 tff(2777,plain,
% 1.98/2.21 ((op2(h4(e12), h1(e12)) = h4(e12)) <=> (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))),
% 1.98/2.21 inference(symmetry,[status(thm)],[2776])).
% 1.98/2.21 tff(2778,plain,
% 1.98/2.21 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12))) <=> (h1(op1(e12, e12)) = h4(e12))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[1243, 2761])).
% 1.98/2.21 tff(2779,plain,
% 1.98/2.21 ((~(op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12)))) <=> (~(h1(op1(e12, e12)) = h4(e12)))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2778])).
% 1.98/2.21 tff(2780,plain,
% 1.98/2.21 (~(h1(op1(e12, e12)) = h4(e12))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[1254, 2779])).
% 1.98/2.21 tff(2781,plain,
% 1.98/2.21 (h1(op1(e12, e12)) = h3(e12)),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[1506, 2780, 503])).
% 1.98/2.21 tff(2782,plain,
% 1.98/2.21 ((~(op2(h1(e12), h3(e12)) = h1(e12))) | (h1(op1(e12, e12)) = h3(e12)) | (h4(e12) = h3(e12)) | (~((~(h4(op1(e12, e12)) = h3(e12))) | (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h4(e12))))) | (~((~(h2(op1(e12, e12)) = h3(e12))) | (~(op2(h2(e12), h3(e12)) = h2(e12)))))),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[1508, 2781])).
% 1.98/2.21 tff(2783,plain,
% 1.98/2.21 (~((h4(op1(e12, e12)) = h1(e12)) | (op2(h1(e12), h1(e12)) = h1(e12)) | (~(op2(h4(e12), h1(e12)) = h4(e12))))),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[668, 2782, 39, 35, 31, 53])).
% 1.98/2.21 tff(2784,plain,
% 1.98/2.21 (op2(h4(e12), h1(e12)) = h4(e12)),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[670, 2783])).
% 1.98/2.21 tff(2785,plain,
% 1.98/2.21 (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[2784, 2777])).
% 1.98/2.21 tff(2786,plain,
% 1.98/2.21 (op2(h4(e12), h2(e12)) = h1(e12)),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[1300, 682, 1266])).
% 1.98/2.21 tff(2787,plain,
% 1.98/2.21 ((op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12))) <=> (op2(h4(e12), h1(e12)) = h1(e12))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2786])).
% 1.98/2.21 tff(2788,plain,
% 1.98/2.21 ((~(op2(h4(e12), h1(e12)) = op2(h4(e12), h2(e12)))) <=> (~(op2(h4(e12), h1(e12)) = h1(e12)))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2787])).
% 1.98/2.21 tff(2789,plain,
% 1.98/2.21 (~(op2(h4(e12), h1(e12)) = h1(e12))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[679, 2788])).
% 1.98/2.21 tff(2790,plain,
% 1.98/2.21 (op2(h2(e12), h1(e12)) = h1(e12)),
% 1.98/2.21 inference(unit_resolution,[status(thm)],[2415, 2789, 503])).
% 1.98/2.21 tff(2791,plain,
% 1.98/2.21 (h1(e12) = op2(h2(e12), h1(e12))),
% 1.98/2.21 inference(symmetry,[status(thm)],[2790])).
% 1.98/2.21 tff(2792,plain,
% 1.98/2.21 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> (op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2112])).
% 1.98/2.21 tff(2793,plain,
% 1.98/2.21 ((op1(e12, e12) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(symmetry,[status(thm)],[2792])).
% 1.98/2.21 tff(2794,plain,
% 1.98/2.21 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2793])).
% 1.98/2.21 tff(2795,plain,
% 1.98/2.21 (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(modus_ponens,[status(thm)],[834, 2794])).
% 1.98/2.21 tff(2796,plain,
% 1.98/2.21 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2797,plain,
% 1.98/2.21 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2798,plain,
% 1.98/2.21 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> $false),
% 1.98/2.21 inference(iff_false,[status(thm)],[2019])).
% 1.98/2.21 tff(2799,plain,
% 1.98/2.21 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | $false | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2798])).
% 1.98/2.21 tff(2800,plain,
% 1.98/2.21 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(transitivity,[status(thm)],[2799, 2797])).
% 1.98/2.21 tff(2801,plain,
% 1.98/2.21 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2802,plain,
% 1.98/2.21 ((op1(e13, e10) = e10) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2803,plain,
% 1.98/2.21 ((op1(e12, e10) = e10) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 1.98/2.21 inference(rewrite,[status(thm)],[])).
% 1.98/2.21 tff(2804,plain,
% 1.98/2.21 (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 1.98/2.21 inference(monotonicity,[status(thm)],[2736, 1046, 2803, 2802])).
% 1.98/2.21 tff(2805,plain,
% 1.98/2.21 (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))))),
% 2.07/2.22 inference(transitivity,[status(thm)],[2804, 2801])).
% 2.07/2.22 tff(2806,plain,
% 2.07/2.22 (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2807,plain,
% 2.07/2.22 ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2808,plain,
% 2.07/2.22 ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2809,plain,
% 2.07/2.22 (((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)) <=> (((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10))),
% 2.07/2.22 inference(monotonicity,[status(thm)],[2808])).
% 2.07/2.22 tff(2810,plain,
% 2.07/2.22 (((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)) <=> ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10))),
% 2.07/2.22 inference(transitivity,[status(thm)],[2809, 2807])).
% 2.07/2.22 tff(2811,plain,
% 2.07/2.22 ((((op1(e10, e10) = e10) | (op1(e11, e10) = e10)) | (op1(e12, e10) = e10)) | (op1(e13, e10) = e10)),
% 2.07/2.22 inference(and_elim,[status(thm)],[2744])).
% 2.07/2.22 tff(2812,plain,
% 2.07/2.22 ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 2.07/2.22 tff(2813,plain,
% 2.07/2.22 ((op1(e10, e10) = e10) | (op1(e11, e10) = e10) | (op1(e12, e10) = e10) | (op1(e13, e10) = e10)),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2812, 2806])).
% 2.07/2.22 tff(2814,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2813, 2805])).
% 2.07/2.22 tff(2815,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2814, 2801])).
% 2.07/2.22 tff(2816,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2815, 2801])).
% 2.07/2.22 tff(2817,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2816, 2800])).
% 2.07/2.22 tff(2818,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2817, 2796])).
% 2.07/2.22 tff(2819,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2818, 2796])).
% 2.07/2.22 tff(2820,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2819, 2796])).
% 2.07/2.22 tff(2821,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2820, 2796])).
% 2.07/2.22 tff(2822,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2821, 2796])).
% 2.07/2.22 tff(2823,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2822, 2796])).
% 2.07/2.22 tff(2824,plain,
% 2.07/2.22 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))),
% 2.07/2.22 inference(unit_resolution,[status(thm)],[2823, 2682, 2795])).
% 2.07/2.22 tff(2825,plain,
% 2.07/2.22 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = h3(op1(e12, op1(e12, e12)))),
% 2.07/2.22 inference(monotonicity,[status(thm)],[2824])).
% 2.07/2.22 tff(2826,plain,
% 2.07/2.22 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))),
% 2.07/2.22 inference(transitivity,[status(thm)],[2825, 736, 2791])).
% 2.07/2.22 tff(2827,plain,
% 2.07/2.22 ((op2(h1(e12), h3(e12)) = h2(e12)) <=> (h1(e12) = h2(e12))),
% 2.07/2.22 inference(monotonicity,[status(thm)],[725])).
% 2.07/2.22 tff(2828,plain,
% 2.07/2.22 ((op2(h1(e12), h3(e12)) = h2(e12)) <=> (h2(e12) = h1(e12))),
% 2.07/2.22 inference(transitivity,[status(thm)],[2827, 1])).
% 2.07/2.22 tff(2829,plain,
% 2.07/2.22 ((h2(e12) = h1(e12)) <=> (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.07/2.22 inference(symmetry,[status(thm)],[2828])).
% 2.07/2.22 tff(2830,plain,
% 2.07/2.22 ((~(h2(e12) = h1(e12))) <=> (~(op2(h1(e12), h3(e12)) = h2(e12)))),
% 2.07/2.22 inference(monotonicity,[status(thm)],[2829])).
% 2.07/2.22 tff(2831,plain,
% 2.07/2.22 (~(op2(h1(e12), h3(e12)) = h2(e12))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[1265, 2830])).
% 2.07/2.22 tff(2832,plain,
% 2.07/2.22 (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)),
% 2.07/2.22 inference(unit_resolution,[status(thm)],[1578, 2831, 31])).
% 2.07/2.22 tff(2833,plain,
% 2.07/2.22 (h2(e12) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 2.07/2.22 inference(symmetry,[status(thm)],[2832])).
% 2.07/2.22 tff(2834,plain,
% 2.07/2.22 ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (h3(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2835,plain,
% 2.07/2.22 ((h3(e11) = op2(e22, op2(e22, op2(e22, e22)))) <=> (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2836,plain,
% 2.07/2.22 ((h3(e11) = op2(e22, op2(e22, op2(e22, e22)))) <=> (h3(e11) = op2(e22, op2(e22, op2(e22, e22))))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2837,plain,
% 2.07/2.22 (h3(e11) = op2(e22, op2(e22, op2(e22, e22)))),
% 2.07/2.22 inference(and_elim,[status(thm)],[731])).
% 2.07/2.22 tff(2838,plain,
% 2.07/2.22 (h3(e11) = op2(e22, op2(e22, op2(e22, e22)))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2837, 2836])).
% 2.07/2.22 tff(2839,plain,
% 2.07/2.22 (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2838, 2835])).
% 2.07/2.22 tff(2840,plain,
% 2.07/2.22 (h3(op1(e12, op1(e12, op1(e12, e12)))) = h2(e12)),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2839, 2834])).
% 2.07/2.22 tff(2841,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 2.07/2.22 inference(unit_resolution,[status(thm)],[923, 2682])).
% 2.07/2.22 tff(2842,plain,
% 2.07/2.22 (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 2.07/2.22 inference(unit_resolution,[status(thm)],[921, 2841])).
% 2.07/2.22 tff(2843,plain,
% 2.07/2.22 (((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))))) | ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 2.07/2.22 inference(tautology,[status(thm)],[])).
% 2.07/2.22 tff(2844,plain,
% 2.07/2.22 ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.22 inference(unit_resolution,[status(thm)],[2843, 2842])).
% 2.07/2.22 tff(2845,plain,
% 2.07/2.22 ((~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.22 inference(tautology,[status(thm)],[])).
% 2.07/2.22 tff(2846,plain,
% 2.07/2.22 (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.22 inference(unit_resolution,[status(thm)],[2845, 2844, 2692])).
% 2.07/2.22 tff(2847,plain,
% 2.07/2.22 ((op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.22 inference(commutativity,[status(thm)],[])).
% 2.07/2.22 tff(2848,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.22 inference(monotonicity,[status(thm)],[2679])).
% 2.07/2.22 tff(2849,plain,
% 2.07/2.22 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.22 inference(transitivity,[status(thm)],[2848, 2847])).
% 2.07/2.22 tff(2850,plain,
% 2.07/2.22 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.22 inference(monotonicity,[status(thm)],[2849])).
% 2.07/2.22 tff(2851,plain,
% 2.07/2.22 ((~(op1(e11, e11) = op1(e13, e11))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2852,plain,
% 2.07/2.22 ((~(op1(e11, e11) = op1(e13, e11))) <=> (~(op1(e11, e11) = op1(e13, e11)))),
% 2.07/2.22 inference(rewrite,[status(thm)],[])).
% 2.07/2.22 tff(2853,plain,
% 2.07/2.22 (~(op1(e11, e11) = op1(e13, e11))),
% 2.07/2.22 inference(and_elim,[status(thm)],[800])).
% 2.07/2.22 tff(2854,plain,
% 2.07/2.22 (~(op1(e11, e11) = op1(e13, e11))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2853, 2852])).
% 2.07/2.22 tff(2855,plain,
% 2.07/2.22 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.22 inference(modus_ponens,[status(thm)],[2854, 2851])).
% 2.07/2.23 tff(2856,plain,
% 2.07/2.23 (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2855, 2850])).
% 2.07/2.23 tff(2857,plain,
% 2.07/2.23 ((op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(commutativity,[status(thm)],[])).
% 2.07/2.23 tff(2858,plain,
% 2.07/2.23 ((~(op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2857])).
% 2.07/2.23 tff(2859,plain,
% 2.07/2.23 ((~(op1(e12, e10) = op1(e13, e10))) <=> (~(op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12)))))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2860,plain,
% 2.07/2.23 ((~(op1(e12, e10) = op1(e13, e10))) <=> (~(op1(e12, e10) = op1(e13, e10)))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2861,plain,
% 2.07/2.23 (~(op1(e12, e10) = op1(e13, e10))),
% 2.07/2.23 inference(and_elim,[status(thm)],[805])).
% 2.07/2.23 tff(2862,plain,
% 2.07/2.23 (~(op1(e12, e10) = op1(e13, e10))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 2.07/2.23 tff(2863,plain,
% 2.07/2.23 (~(op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2862, 2859])).
% 2.07/2.23 tff(2864,plain,
% 2.07/2.23 (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2863, 2858])).
% 2.07/2.23 tff(2865,plain,
% 2.07/2.23 (((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2866,plain,
% 2.07/2.23 ((op1(e13, e13) = e11) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2867,plain,
% 2.07/2.23 ((op1(e13, e11) = e11) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2868,plain,
% 2.07/2.23 ((op1(e13, e10) = e11) <=> (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2869,plain,
% 2.07/2.23 (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2868, 2867, 2536, 2866])).
% 2.07/2.23 tff(2870,plain,
% 2.07/2.23 (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.23 inference(transitivity,[status(thm)],[2869, 2865])).
% 2.07/2.23 tff(2871,plain,
% 2.07/2.23 (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2872,plain,
% 2.07/2.23 ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2873,plain,
% 2.07/2.23 ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2874,plain,
% 2.07/2.23 (((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)) <=> (((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2873])).
% 2.07/2.23 tff(2875,plain,
% 2.07/2.23 (((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)) <=> ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11))),
% 2.07/2.23 inference(transitivity,[status(thm)],[2874, 2872])).
% 2.07/2.23 tff(2876,plain,
% 2.07/2.23 ((((op1(e13, e10) = e11) | (op1(e13, e11) = e11)) | (op1(e13, e12) = e11)) | (op1(e13, e13) = e11)),
% 2.07/2.23 inference(and_elim,[status(thm)],[1059])).
% 2.07/2.23 tff(2877,plain,
% 2.07/2.23 ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 2.07/2.23 tff(2878,plain,
% 2.07/2.23 ((op1(e13, e10) = e11) | (op1(e13, e11) = e11) | (op1(e13, e12) = e11) | (op1(e13, e13) = e11)),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2877, 2871])).
% 2.07/2.23 tff(2879,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2878, 2870])).
% 2.07/2.23 tff(2880,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2879, 2865])).
% 2.07/2.23 tff(2881,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2880, 2865])).
% 2.07/2.23 tff(2882,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2881, 2865])).
% 2.07/2.23 tff(2883,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2882, 2865])).
% 2.07/2.23 tff(2884,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2883, 2865])).
% 2.07/2.23 tff(2885,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2884, 2865])).
% 2.07/2.23 tff(2886,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2885, 2865])).
% 2.07/2.23 tff(2887,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2886, 2865])).
% 2.07/2.23 tff(2888,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2887, 2865])).
% 2.07/2.23 tff(2889,plain,
% 2.07/2.23 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(unit_resolution,[status(thm)],[2888, 2864])).
% 2.07/2.23 tff(2890,plain,
% 2.07/2.23 (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.07/2.23 inference(unit_resolution,[status(thm)],[2889, 2856, 2846])).
% 2.07/2.23 tff(2891,plain,
% 2.07/2.23 (h3(op1(op1(e12, e12), e12)) = h3(op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2890])).
% 2.07/2.23 tff(2892,plain,
% 2.07/2.23 (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 2.07/2.23 inference(transitivity,[status(thm)],[2891, 2840, 2833])).
% 2.07/2.23 tff(2893,plain,
% 2.07/2.23 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12))) <=> (h4(e12) = op2(h1(e12), h4(e12)))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2761])).
% 2.07/2.23 tff(2894,plain,
% 2.07/2.23 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12))) <=> (op2(h1(e12), h4(e12)) = h4(e12))),
% 2.07/2.23 inference(transitivity,[status(thm)],[2893, 2573])).
% 2.07/2.23 tff(2895,plain,
% 2.07/2.23 ((~(op2(h1(e12), h2(e12)) = op2(h1(e12), h4(e12)))) <=> (~(op2(h1(e12), h4(e12)) = h4(e12)))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2894])).
% 2.07/2.23 tff(2896,plain,
% 2.07/2.23 (~(op2(h1(e12), h4(e12)) = h4(e12))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2583, 2895])).
% 2.07/2.23 tff(2897,plain,
% 2.07/2.23 ((op2(h4(e12), h2(e12)) = h4(e12)) <=> (h1(e12) = h4(e12))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2786])).
% 2.07/2.23 tff(2898,plain,
% 2.07/2.23 ((op2(h4(e12), h2(e12)) = h4(e12)) <=> (h4(e12) = h1(e12))),
% 2.07/2.23 inference(transitivity,[status(thm)],[2897, 531])).
% 2.07/2.23 tff(2899,plain,
% 2.07/2.23 ((h4(e12) = h1(e12)) <=> (op2(h4(e12), h2(e12)) = h4(e12))),
% 2.07/2.23 inference(symmetry,[status(thm)],[2898])).
% 2.07/2.23 tff(2900,plain,
% 2.07/2.23 ((~(h4(e12) = h1(e12))) <=> (~(op2(h4(e12), h2(e12)) = h4(e12)))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2899])).
% 2.07/2.23 tff(2901,plain,
% 2.07/2.23 (~(op2(h4(e12), h2(e12)) = h4(e12))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[538, 2900])).
% 2.07/2.23 tff(2902,plain,
% 2.07/2.23 (h4(op1(e12, e12)) = h3(e12)),
% 2.07/2.23 inference(unit_resolution,[status(thm)],[1537, 2901, 503, 2780, 682])).
% 2.07/2.23 tff(2903,plain,
% 2.07/2.23 (op2(h4(e12), h4(e12)) = h3(e12)),
% 2.07/2.23 inference(transitivity,[status(thm)],[1595, 2902])).
% 2.07/2.23 tff(2904,plain,
% 2.07/2.23 ((op2(h4(e12), h4(e12)) = h4(e12)) <=> (h3(e12) = h4(e12))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2903])).
% 2.07/2.23 tff(2905,plain,
% 2.07/2.23 ((op2(h4(e12), h4(e12)) = h4(e12)) <=> (h4(e12) = h3(e12))),
% 2.07/2.23 inference(transitivity,[status(thm)],[2904, 1312])).
% 2.07/2.23 tff(2906,plain,
% 2.07/2.23 ((h4(e12) = h3(e12)) <=> (op2(h4(e12), h4(e12)) = h4(e12))),
% 2.07/2.23 inference(symmetry,[status(thm)],[2905])).
% 2.07/2.23 tff(2907,plain,
% 2.07/2.23 ((~(h4(e12) = h3(e12))) <=> (~(op2(h4(e12), h4(e12)) = h4(e12)))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2906])).
% 2.07/2.23 tff(2908,plain,
% 2.07/2.23 (~(op2(h4(e12), h4(e12)) = h4(e12))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[1321, 2907])).
% 2.07/2.23 tff(2909,plain,
% 2.07/2.23 (op2(h2(e12), h4(e12)) = h4(e12)),
% 2.07/2.23 inference(unit_resolution,[status(thm)],[2634, 2908, 2896])).
% 2.07/2.23 tff(2910,plain,
% 2.07/2.23 (h4(e12) = op2(h2(e12), h4(e12))),
% 2.07/2.23 inference(symmetry,[status(thm)],[2909])).
% 2.07/2.23 tff(2911,plain,
% 2.07/2.23 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2112])).
% 2.07/2.23 tff(2912,plain,
% 2.07/2.23 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.23 inference(monotonicity,[status(thm)],[2911])).
% 2.07/2.23 tff(2913,plain,
% 2.07/2.23 ((~(op1(e11, e10) = op1(e13, e10))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12)))))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2914,plain,
% 2.07/2.23 ((~(op1(e11, e10) = op1(e13, e10))) <=> (~(op1(e11, e10) = op1(e13, e10)))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2915,plain,
% 2.07/2.23 (~(op1(e11, e10) = op1(e13, e10))),
% 2.07/2.23 inference(and_elim,[status(thm)],[806])).
% 2.07/2.23 tff(2916,plain,
% 2.07/2.23 (~(op1(e11, e10) = op1(e13, e10))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2915, 2914])).
% 2.07/2.23 tff(2917,plain,
% 2.07/2.23 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, e12))))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2916, 2913])).
% 2.07/2.23 tff(2918,plain,
% 2.07/2.23 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2917, 2912])).
% 2.07/2.23 tff(2919,plain,
% 2.07/2.23 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2920,plain,
% 2.07/2.23 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | $false | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2921,plain,
% 2.07/2.23 ((~(op1(e11, e12) = op1(e12, e12))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2922,plain,
% 2.07/2.23 ((~(op1(e11, e12) = op1(e12, e12))) <=> (~(op1(e11, e12) = op1(e12, e12)))),
% 2.07/2.23 inference(rewrite,[status(thm)],[])).
% 2.07/2.23 tff(2923,plain,
% 2.07/2.23 (~(op1(e11, e12) = op1(e12, e12))),
% 2.07/2.23 inference(and_elim,[status(thm)],[795])).
% 2.07/2.23 tff(2924,plain,
% 2.07/2.23 (~(op1(e11, e12) = op1(e12, e12))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 2.07/2.23 tff(2925,plain,
% 2.07/2.23 (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12))),
% 2.07/2.23 inference(modus_ponens,[status(thm)],[2924, 2921])).
% 2.07/2.23 tff(2926,plain,
% 2.07/2.23 ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) <=> $false),
% 2.07/2.23 inference(iff_false,[status(thm)],[2925])).
% 2.07/2.23 tff(2927,plain,
% 2.07/2.23 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | $false | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2926])).
% 2.07/2.24 tff(2928,plain,
% 2.07/2.24 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2927, 2920])).
% 2.07/2.24 tff(2929,plain,
% 2.07/2.24 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2930,plain,
% 2.07/2.24 ((op1(e11, e12) = e13) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2931,plain,
% 2.07/2.24 (((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2089, 993, 2930, 2339])).
% 2.07/2.24 tff(2932,plain,
% 2.07/2.24 (((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2931, 2929])).
% 2.07/2.24 tff(2933,plain,
% 2.07/2.24 (((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13)) <=> ((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2934,plain,
% 2.07/2.24 ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13)) <=> ((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2935,plain,
% 2.07/2.24 ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) <=> ((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2936,plain,
% 2.07/2.24 (((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13)) <=> (((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2935])).
% 2.07/2.24 tff(2937,plain,
% 2.07/2.24 (((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13)) <=> ((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2936, 2934])).
% 2.07/2.24 tff(2938,plain,
% 2.07/2.24 ((((op1(e11, e10) = e13) | (op1(e11, e11) = e13)) | (op1(e11, e12) = e13)) | (op1(e11, e13) = e13)),
% 2.07/2.24 inference(and_elim,[status(thm)],[1071])).
% 2.07/2.24 tff(2939,plain,
% 2.07/2.24 ((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13)),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2938, 2937])).
% 2.07/2.24 tff(2940,plain,
% 2.07/2.24 ((op1(e11, e10) = e13) | (op1(e11, e11) = e13) | (op1(e11, e12) = e13) | (op1(e11, e13) = e13)),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2939, 2933])).
% 2.07/2.24 tff(2941,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2940, 2932])).
% 2.07/2.24 tff(2942,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2941, 2929])).
% 2.07/2.24 tff(2943,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2942, 2929])).
% 2.07/2.24 tff(2944,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2943, 2928])).
% 2.07/2.24 tff(2945,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2944, 2919])).
% 2.07/2.24 tff(2946,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2945, 2919])).
% 2.07/2.24 tff(2947,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2946, 2919])).
% 2.07/2.24 tff(2948,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2947, 2919])).
% 2.07/2.24 tff(2949,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2948, 2919])).
% 2.07/2.24 tff(2950,plain,
% 2.07/2.24 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2949, 2919])).
% 2.07/2.24 tff(2951,plain,
% 2.07/2.24 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)),
% 2.07/2.24 inference(unit_resolution,[status(thm)],[2950, 2697, 2918])).
% 2.07/2.24 tff(2952,plain,
% 2.07/2.24 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = h3(op1(e12, e12))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2951])).
% 2.07/2.24 tff(2953,plain,
% 2.07/2.24 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2952, 2769, 2910])).
% 2.07/2.24 tff(2954,plain,
% 2.07/2.24 (h3(e12) = h4(op1(e12, e12))),
% 2.07/2.24 inference(symmetry,[status(thm)],[2902])).
% 2.07/2.24 tff(2955,plain,
% 2.07/2.24 ((op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(commutativity,[status(thm)],[])).
% 2.07/2.24 tff(2956,plain,
% 2.07/2.24 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(e12, e12) = op1(op1(e12, e12), op1(e12, e12)))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2112])).
% 2.07/2.24 tff(2957,plain,
% 2.07/2.24 ((op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2956, 2955])).
% 2.07/2.24 tff(2958,plain,
% 2.07/2.24 ((~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2957])).
% 2.07/2.24 tff(2959,plain,
% 2.07/2.24 ((~(op1(e13, e10) = op1(e13, e13))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12))))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2960,plain,
% 2.07/2.24 ((~(op1(e13, e10) = op1(e13, e13))) <=> (~(op1(e13, e10) = op1(e13, e13)))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2961,plain,
% 2.07/2.24 (~(op1(e13, e10) = op1(e13, e13))),
% 2.07/2.24 inference(and_elim,[status(thm)],[766])).
% 2.07/2.24 tff(2962,plain,
% 2.07/2.24 (~(op1(e13, e10) = op1(e13, e13))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 2.07/2.24 tff(2963,plain,
% 2.07/2.24 (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, e12)))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2962, 2959])).
% 2.07/2.24 tff(2964,plain,
% 2.07/2.24 (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2963, 2958])).
% 2.07/2.24 tff(2965,plain,
% 2.07/2.24 ((op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 2.07/2.24 inference(commutativity,[status(thm)],[])).
% 2.07/2.24 tff(2966,plain,
% 2.07/2.24 ((~(op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2965])).
% 2.07/2.24 tff(2967,plain,
% 2.07/2.24 ((~(op1(e12, e13) = op1(e13, e13))) <=> (~(op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2968,plain,
% 2.07/2.24 ((~(op1(e12, e13) = op1(e13, e13))) <=> (~(op1(e12, e13) = op1(e13, e13)))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2969,plain,
% 2.07/2.24 (~(op1(e12, e13) = op1(e13, e13))),
% 2.07/2.24 inference(and_elim,[status(thm)],[787])).
% 2.07/2.24 tff(2970,plain,
% 2.07/2.24 (~(op1(e12, e13) = op1(e13, e13))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 2.07/2.24 tff(2971,plain,
% 2.07/2.24 (~(op1(e12, op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2970, 2967])).
% 2.07/2.24 tff(2972,plain,
% 2.07/2.24 (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2971, 2966])).
% 2.07/2.24 tff(2973,plain,
% 2.07/2.24 (((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))) <=> ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2974,plain,
% 2.07/2.24 ((op1(e13, e13) = e13) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2975,plain,
% 2.07/2.24 ((op1(e13, e13) = e10) <=> (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2976,plain,
% 2.07/2.24 (((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13)) <=> ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2975, 2866, 2217, 2974])).
% 2.07/2.24 tff(2977,plain,
% 2.07/2.24 (((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13)) <=> ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12)))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2976, 2973])).
% 2.07/2.24 tff(2978,plain,
% 2.07/2.24 (((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13)) <=> ((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2979,plain,
% 2.07/2.24 ((((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13)) <=> ((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2980,plain,
% 2.07/2.24 ((((op1(e13, e13) = e10) | (op1(e13, e13) = e11)) | (op1(e13, e13) = e12)) <=> ((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12))),
% 2.07/2.24 inference(rewrite,[status(thm)],[])).
% 2.07/2.24 tff(2981,plain,
% 2.07/2.24 (((((op1(e13, e13) = e10) | (op1(e13, e13) = e11)) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13)) <=> (((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13))),
% 2.07/2.24 inference(monotonicity,[status(thm)],[2980])).
% 2.07/2.24 tff(2982,plain,
% 2.07/2.24 (((((op1(e13, e13) = e10) | (op1(e13, e13) = e11)) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13)) <=> ((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13))),
% 2.07/2.24 inference(transitivity,[status(thm)],[2981, 2979])).
% 2.07/2.24 tff(2983,plain,
% 2.07/2.24 ((((op1(e13, e13) = e10) | (op1(e13, e13) = e11)) | (op1(e13, e13) = e12)) | (op1(e13, e13) = e13)),
% 2.07/2.24 inference(and_elim,[status(thm)],[963])).
% 2.07/2.24 tff(2984,plain,
% 2.07/2.24 ((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13)),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2983, 2982])).
% 2.07/2.24 tff(2985,plain,
% 2.07/2.24 ((op1(e13, e13) = e10) | (op1(e13, e13) = e11) | (op1(e13, e13) = e12) | (op1(e13, e13) = e13)),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2984, 2978])).
% 2.07/2.24 tff(2986,plain,
% 2.07/2.24 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2985, 2977])).
% 2.07/2.24 tff(2987,plain,
% 2.07/2.24 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2986, 2973])).
% 2.07/2.24 tff(2988,plain,
% 2.07/2.24 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2987, 2973])).
% 2.07/2.24 tff(2989,plain,
% 2.07/2.24 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.24 inference(modus_ponens,[status(thm)],[2988, 2973])).
% 2.07/2.25 tff(2990,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2989, 2973])).
% 2.07/2.25 tff(2991,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2990, 2973])).
% 2.07/2.25 tff(2992,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2991, 2973])).
% 2.07/2.25 tff(2993,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2992, 2973])).
% 2.07/2.25 tff(2994,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2993, 2973])).
% 2.07/2.25 tff(2995,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2994, 2973])).
% 2.07/2.25 tff(2996,plain,
% 2.07/2.25 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, e12))),
% 2.07/2.25 inference(unit_resolution,[status(thm)],[2995, 2972])).
% 2.07/2.25 tff(2997,plain,
% 2.07/2.25 (op1(op1(e12, e12), op1(e12, e12)) = e12),
% 2.07/2.25 inference(unit_resolution,[status(thm)],[2996, 2846, 2964])).
% 2.07/2.25 tff(2998,plain,
% 2.07/2.25 (h3(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)),
% 2.07/2.25 inference(monotonicity,[status(thm)],[2997])).
% 2.07/2.25 tff(2999,plain,
% 2.07/2.25 (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12))),
% 2.07/2.25 inference(transitivity,[status(thm)],[2998, 2954, 1430])).
% 2.07/2.25 tff(3000,plain,
% 2.07/2.25 (h3(e12) = h1(op1(e12, e12))),
% 2.07/2.25 inference(symmetry,[status(thm)],[2781])).
% 2.07/2.25 tff(3001,plain,
% 2.07/2.25 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3002,plain,
% 2.07/2.25 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | $false | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3003,plain,
% 2.07/2.25 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | $false | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[813])).
% 2.07/2.25 tff(3004,plain,
% 2.07/2.25 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(transitivity,[status(thm)],[3003, 3002])).
% 2.07/2.25 tff(3005,plain,
% 2.07/2.25 (((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3006,plain,
% 2.07/2.25 (((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[2736, 2029, 1975, 2090])).
% 2.07/2.25 tff(3007,plain,
% 2.07/2.25 (((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12)))),
% 2.07/2.25 inference(transitivity,[status(thm)],[3006, 3005])).
% 2.07/2.25 tff(3008,plain,
% 2.07/2.25 (((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13)) <=> ((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3009,plain,
% 2.07/2.25 ((((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) <=> ((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3010,plain,
% 2.07/2.25 ((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) <=> ((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3011,plain,
% 2.07/2.25 (((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) <=> (((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[3010])).
% 2.07/2.25 tff(3012,plain,
% 2.07/2.25 (((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)) <=> ((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13))),
% 2.07/2.25 inference(transitivity,[status(thm)],[3011, 3009])).
% 2.07/2.25 tff(3013,plain,
% 2.07/2.25 ((((op1(e10, e10) = e10) | (op1(e10, e10) = e11)) | (op1(e10, e10) = e12)) | (op1(e10, e10) = e13)),
% 2.07/2.25 inference(and_elim,[status(thm)],[2433])).
% 2.07/2.25 tff(3014,plain,
% 2.07/2.25 ((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13)),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 2.07/2.25 tff(3015,plain,
% 2.07/2.25 ((op1(e10, e10) = e10) | (op1(e10, e10) = e11) | (op1(e10, e10) = e12) | (op1(e10, e10) = e13)),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3014, 3008])).
% 2.07/2.25 tff(3016,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3015, 3007])).
% 2.07/2.25 tff(3017,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3016, 3005])).
% 2.07/2.25 tff(3018,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3017, 3005])).
% 2.07/2.25 tff(3019,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3018, 3004])).
% 2.07/2.25 tff(3020,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3019, 3001])).
% 2.07/2.25 tff(3021,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3020, 3001])).
% 2.07/2.25 tff(3022,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3021, 3001])).
% 2.07/2.25 tff(3023,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3022, 3001])).
% 2.07/2.25 tff(3024,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3023, 3001])).
% 2.07/2.25 tff(3025,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3024, 3001])).
% 2.07/2.25 tff(3026,plain,
% 2.07/2.25 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12),
% 2.07/2.25 inference(unit_resolution,[status(thm)],[3025, 2682, 2120])).
% 2.07/2.25 tff(3027,plain,
% 2.07/2.25 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = h3(e12)),
% 2.07/2.25 inference(monotonicity,[status(thm)],[3026])).
% 2.07/2.25 tff(3028,plain,
% 2.07/2.25 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))),
% 2.07/2.25 inference(transitivity,[status(thm)],[3027, 3000, 1242])).
% 2.07/2.25 tff(3029,plain,
% 2.07/2.25 ((op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))) <=> (h1(e12) = op2(h2(e12), h3(e12)))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[725])).
% 2.07/2.25 tff(3030,plain,
% 2.07/2.25 ((op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12))) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.07/2.25 inference(transitivity,[status(thm)],[3029, 2453])).
% 2.07/2.25 tff(3031,plain,
% 2.07/2.25 ((~(op2(h1(e12), h3(e12)) = op2(h2(e12), h3(e12)))) <=> (~(op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[3030])).
% 2.07/2.25 tff(3032,plain,
% 2.07/2.25 (~(op2(h2(e12), h3(e12)) = h1(e12))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[2463, 3031])).
% 2.07/2.25 tff(3033,plain,
% 2.07/2.25 (op2(h2(e12), h3(e12)) = h3(e12)),
% 2.07/2.25 inference(unit_resolution,[status(thm)],[2500, 3032, 31])).
% 2.07/2.25 tff(3034,plain,
% 2.07/2.25 (h3(e12) = op2(h2(e12), h3(e12))),
% 2.07/2.25 inference(symmetry,[status(thm)],[3033])).
% 2.07/2.25 tff(3035,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.25 inference(monotonicity,[status(thm)],[2997])).
% 2.07/2.25 tff(3036,plain,
% 2.07/2.25 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[3035])).
% 2.07/2.25 tff(3037,plain,
% 2.07/2.25 ((~(op1(e11, e13) = op1(e13, e13))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3038,plain,
% 2.07/2.25 ((~(op1(e11, e13) = op1(e13, e13))) <=> (~(op1(e11, e13) = op1(e13, e13)))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3039,plain,
% 2.07/2.25 (~(op1(e11, e13) = op1(e13, e13))),
% 2.07/2.25 inference(and_elim,[status(thm)],[788])).
% 2.07/2.25 tff(3040,plain,
% 2.07/2.25 (~(op1(e11, e13) = op1(e13, e13))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 2.07/2.25 tff(3041,plain,
% 2.07/2.25 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3040, 3037])).
% 2.07/2.25 tff(3042,plain,
% 2.07/2.25 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[3041, 3036])).
% 2.07/2.25 tff(3043,plain,
% 2.07/2.25 ((e12 = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 2.07/2.25 inference(commutativity,[status(thm)],[])).
% 2.07/2.25 tff(3044,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (e12 = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[3026])).
% 2.07/2.25 tff(3045,plain,
% 2.07/2.25 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 2.07/2.25 inference(transitivity,[status(thm)],[3044, 3043])).
% 2.07/2.25 tff(3046,plain,
% 2.07/2.25 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12))),
% 2.07/2.25 inference(monotonicity,[status(thm)],[3045])).
% 2.07/2.25 tff(3047,plain,
% 2.07/2.25 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 2.07/2.25 inference(modus_ponens,[status(thm)],[1031, 3046])).
% 2.07/2.25 tff(3048,plain,
% 2.07/2.25 (((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3049,plain,
% 2.07/2.25 ((op1(e11, e12) = e12) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12)),
% 2.07/2.25 inference(rewrite,[status(thm)],[])).
% 2.07/2.25 tff(3050,plain,
% 2.07/2.25 (((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[2181, 994, 3049, 2218])).
% 2.07/2.26 tff(3051,plain,
% 2.07/2.26 (((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12)) <=> ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3050, 3048])).
% 2.07/2.26 tff(3052,plain,
% 2.07/2.26 (((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12)) <=> ((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3053,plain,
% 2.07/2.26 ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12)) <=> ((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3054,plain,
% 2.07/2.26 ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) <=> ((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3055,plain,
% 2.07/2.26 (((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12)) <=> (((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[3054])).
% 2.07/2.26 tff(3056,plain,
% 2.07/2.26 (((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12)) <=> ((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3055, 3053])).
% 2.07/2.26 tff(3057,plain,
% 2.07/2.26 ((((op1(e11, e10) = e12) | (op1(e11, e11) = e12)) | (op1(e11, e12) = e12)) | (op1(e11, e13) = e12)),
% 2.07/2.26 inference(and_elim,[status(thm)],[1073])).
% 2.07/2.26 tff(3058,plain,
% 2.07/2.26 ((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3057, 3056])).
% 2.07/2.26 tff(3059,plain,
% 2.07/2.26 ((op1(e11, e10) = e12) | (op1(e11, e11) = e12) | (op1(e11, e12) = e12) | (op1(e11, e13) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3058, 3052])).
% 2.07/2.26 tff(3060,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3059, 3051])).
% 2.07/2.26 tff(3061,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3060, 3048])).
% 2.07/2.26 tff(3062,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3061, 3048])).
% 2.07/2.26 tff(3063,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3062, 3048])).
% 2.07/2.26 tff(3064,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3063, 3048])).
% 2.07/2.26 tff(3065,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3064, 3048])).
% 2.07/2.26 tff(3066,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3065, 3048])).
% 2.07/2.26 tff(3067,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3066, 3048])).
% 2.07/2.26 tff(3068,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3067, 3048])).
% 2.07/2.26 tff(3069,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3068, 3048])).
% 2.07/2.26 tff(3070,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.07/2.26 inference(unit_resolution,[status(thm)],[3069, 991])).
% 2.07/2.26 tff(3071,plain,
% 2.07/2.26 (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12),
% 2.07/2.26 inference(unit_resolution,[status(thm)],[3070, 3047, 3042])).
% 2.07/2.26 tff(3072,plain,
% 2.07/2.26 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = h3(e12)),
% 2.07/2.26 inference(monotonicity,[status(thm)],[3071])).
% 2.07/2.26 tff(3073,plain,
% 2.07/2.26 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3072, 3034])).
% 2.07/2.26 tff(3074,plain,
% 2.07/2.26 (op2(h1(e12), h4(e12)) = h2(e12)),
% 2.07/2.26 inference(unit_resolution,[status(thm)],[2311, 2831, 1142])).
% 2.07/2.26 tff(3075,plain,
% 2.07/2.26 (h2(e12) = op2(h1(e12), h4(e12))),
% 2.07/2.26 inference(symmetry,[status(thm)],[3074])).
% 2.07/2.26 tff(3076,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[2679])).
% 2.07/2.26 tff(3077,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3076, 1603])).
% 2.07/2.26 tff(3078,plain,
% 2.07/2.26 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[3077])).
% 2.07/2.26 tff(3079,plain,
% 2.07/2.26 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[1612, 3078])).
% 2.07/2.26 tff(3080,plain,
% 2.07/2.26 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3081,plain,
% 2.07/2.26 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | $false | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3082,plain,
% 2.07/2.26 ((~(e10 = e11)) <=> (~(op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3083,plain,
% 2.07/2.26 ((~(e10 = e11)) <=> (~(e10 = e11))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3084,plain,
% 2.07/2.26 (~(e10 = e11)),
% 2.07/2.26 inference(and_elim,[status(thm)],[855])).
% 2.07/2.26 tff(3085,plain,
% 2.07/2.26 (~(e10 = e11)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3084, 3083])).
% 2.07/2.26 tff(3086,plain,
% 2.07/2.26 (~(op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3085, 3082])).
% 2.07/2.26 tff(3087,plain,
% 2.07/2.26 ((op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) <=> $false),
% 2.07/2.26 inference(iff_false,[status(thm)],[3086])).
% 2.07/2.26 tff(3088,plain,
% 2.07/2.26 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | $false | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[3087])).
% 2.07/2.26 tff(3089,plain,
% 2.07/2.26 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3088, 3081])).
% 2.07/2.26 tff(3090,plain,
% 2.07/2.26 (((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3091,plain,
% 2.07/2.26 ((op1(e12, e13) = e11) <=> (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3092,plain,
% 2.07/2.26 (((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[2026, 2340, 3091, 2866])).
% 2.07/2.26 tff(3093,plain,
% 2.07/2.26 (((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11)) <=> ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3092, 3090])).
% 2.07/2.26 tff(3094,plain,
% 2.07/2.26 (((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11)) <=> ((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3095,plain,
% 2.07/2.26 ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11)) <=> ((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3096,plain,
% 2.07/2.26 ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) <=> ((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11))),
% 2.07/2.26 inference(rewrite,[status(thm)],[])).
% 2.07/2.26 tff(3097,plain,
% 2.07/2.26 (((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11)) <=> (((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11))),
% 2.07/2.26 inference(monotonicity,[status(thm)],[3096])).
% 2.07/2.26 tff(3098,plain,
% 2.07/2.26 (((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11)) <=> ((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11))),
% 2.07/2.26 inference(transitivity,[status(thm)],[3097, 3095])).
% 2.07/2.26 tff(3099,plain,
% 2.07/2.26 ((((op1(e10, e13) = e11) | (op1(e11, e13) = e11)) | (op1(e12, e13) = e11)) | (op1(e13, e13) = e11)),
% 2.07/2.26 inference(and_elim,[status(thm)],[1058])).
% 2.07/2.26 tff(3100,plain,
% 2.07/2.26 ((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 2.07/2.26 tff(3101,plain,
% 2.07/2.26 ((op1(e10, e13) = e11) | (op1(e11, e13) = e11) | (op1(e12, e13) = e11) | (op1(e13, e13) = e11)),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3100, 3094])).
% 2.07/2.26 tff(3102,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3101, 3093])).
% 2.07/2.26 tff(3103,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3102, 3090])).
% 2.07/2.26 tff(3104,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.26 inference(modus_ponens,[status(thm)],[3103, 3090])).
% 2.07/2.26 tff(3105,plain,
% 2.07/2.26 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3104, 3089])).
% 2.07/2.27 tff(3106,plain,
% 2.07/2.27 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3105, 3080])).
% 2.07/2.27 tff(3107,plain,
% 2.07/2.27 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3106, 3080])).
% 2.07/2.27 tff(3108,plain,
% 2.07/2.27 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3107, 3080])).
% 2.07/2.27 tff(3109,plain,
% 2.07/2.27 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3108, 3080])).
% 2.07/2.27 tff(3110,plain,
% 2.07/2.27 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3109, 3080])).
% 2.07/2.27 tff(3111,plain,
% 2.07/2.27 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3110, 3080])).
% 2.07/2.27 tff(3112,plain,
% 2.07/2.27 (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.07/2.27 inference(unit_resolution,[status(thm)],[3111, 3079, 2846])).
% 2.07/2.27 tff(3113,plain,
% 2.07/2.27 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = h3(op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(monotonicity,[status(thm)],[3112])).
% 2.07/2.27 tff(3114,plain,
% 2.07/2.27 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))),
% 2.07/2.27 inference(transitivity,[status(thm)],[3113, 2840, 3075])).
% 2.07/2.27 tff(3115,plain,
% 2.07/2.27 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = h3(op1(e12, op1(e12, op1(e12, e12))))),
% 2.07/2.27 inference(monotonicity,[status(thm)],[2679])).
% 2.07/2.27 tff(3116,plain,
% 2.07/2.27 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))),
% 2.07/2.27 inference(transitivity,[status(thm)],[3115, 2840, 2276])).
% 2.07/2.27 tff(3117,plain,
% 2.07/2.27 (h1(e12) = op2(h4(e12), h2(e12))),
% 2.07/2.27 inference(symmetry,[status(thm)],[2786])).
% 2.07/2.27 tff(3118,plain,
% 2.07/2.27 ((e12 = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 2.07/2.27 inference(commutativity,[status(thm)],[])).
% 2.07/2.27 tff(3119,plain,
% 2.07/2.27 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (e12 = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.27 inference(monotonicity,[status(thm)],[983])).
% 2.07/2.27 tff(3120,plain,
% 2.07/2.27 ((op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 2.07/2.27 inference(transitivity,[status(thm)],[3119, 3118])).
% 2.07/2.27 tff(3121,plain,
% 2.07/2.27 ((~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12))),
% 2.07/2.27 inference(monotonicity,[status(thm)],[3120])).
% 2.07/2.27 tff(3122,plain,
% 2.07/2.27 ((~(op1(e12, e11) = op1(e13, e11))) <=> (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))))),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3123,plain,
% 2.07/2.27 ((~(op1(e12, e11) = op1(e13, e11))) <=> (~(op1(e12, e11) = op1(e13, e11)))),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3124,plain,
% 2.07/2.27 (~(op1(e12, e11) = op1(e13, e11))),
% 2.07/2.27 inference(and_elim,[status(thm)],[799])).
% 2.07/2.27 tff(3125,plain,
% 2.07/2.27 (~(op1(e12, e11) = op1(e13, e11))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 2.07/2.27 tff(3126,plain,
% 2.07/2.27 (~(op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3125, 3122])).
% 2.07/2.27 tff(3127,plain,
% 2.07/2.27 (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3126, 3121])).
% 2.07/2.27 tff(3128,plain,
% 2.07/2.27 (((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3129,plain,
% 2.07/2.27 ((op1(e13, e11) = e12) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12)),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3130,plain,
% 2.07/2.27 (((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13)) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 2.07/2.27 inference(monotonicity,[status(thm)],[1107, 2867, 3129, 2703])).
% 2.07/2.27 tff(3131,plain,
% 2.07/2.27 (((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13)) <=> ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 2.07/2.27 inference(transitivity,[status(thm)],[3130, 3128])).
% 2.07/2.27 tff(3132,plain,
% 2.07/2.27 (((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13)) <=> ((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13))),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3133,plain,
% 2.07/2.27 ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13)) <=> ((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13))),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3134,plain,
% 2.07/2.27 ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) <=> ((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12))),
% 2.07/2.27 inference(rewrite,[status(thm)],[])).
% 2.07/2.27 tff(3135,plain,
% 2.07/2.27 (((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13)) <=> (((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13))),
% 2.07/2.27 inference(monotonicity,[status(thm)],[3134])).
% 2.07/2.27 tff(3136,plain,
% 2.07/2.27 (((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13)) <=> ((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13))),
% 2.07/2.27 inference(transitivity,[status(thm)],[3135, 3133])).
% 2.07/2.27 tff(3137,plain,
% 2.07/2.27 ((((op1(e13, e11) = e10) | (op1(e13, e11) = e11)) | (op1(e13, e11) = e12)) | (op1(e13, e11) = e13)),
% 2.07/2.27 inference(and_elim,[status(thm)],[965])).
% 2.07/2.27 tff(3138,plain,
% 2.07/2.27 ((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13)),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 2.07/2.27 tff(3139,plain,
% 2.07/2.27 ((op1(e13, e11) = e10) | (op1(e13, e11) = e11) | (op1(e13, e11) = e12) | (op1(e13, e11) = e13)),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3138, 3132])).
% 2.07/2.27 tff(3140,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3139, 3131])).
% 2.07/2.27 tff(3141,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3140, 3128])).
% 2.07/2.27 tff(3142,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3141, 3128])).
% 2.07/2.27 tff(3143,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3142, 3128])).
% 2.07/2.27 tff(3144,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3143, 3128])).
% 2.07/2.27 tff(3145,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3144, 3128])).
% 2.07/2.27 tff(3146,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3145, 3128])).
% 2.07/2.27 tff(3147,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3146, 3128])).
% 2.07/2.27 tff(3148,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.27 inference(modus_ponens,[status(thm)],[3147, 3128])).
% 2.07/2.27 tff(3149,plain,
% 2.07/2.27 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = e12) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.28 inference(modus_ponens,[status(thm)],[3148, 3128])).
% 2.07/2.28 tff(3150,plain,
% 2.07/2.28 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.07/2.28 inference(unit_resolution,[status(thm)],[3149, 3127])).
% 2.07/2.28 tff(3151,plain,
% 2.07/2.28 (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))),
% 2.07/2.28 inference(unit_resolution,[status(thm)],[3150, 2856, 2692])).
% 2.07/2.28 tff(3152,plain,
% 2.07/2.28 (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = h3(op1(e12, op1(e12, e12)))),
% 2.07/2.28 inference(monotonicity,[status(thm)],[3151])).
% 2.07/2.28 tff(3153,plain,
% 2.07/2.28 (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))),
% 2.07/2.28 inference(transitivity,[status(thm)],[3152, 736, 3117])).
% 2.07/2.28 tff(3154,plain,
% 2.07/2.28 (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = h3(e12)),
% 2.07/2.28 inference(monotonicity,[status(thm)],[983])).
% 2.07/2.28 tff(3155,plain,
% 2.07/2.28 (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))),
% 2.07/2.28 inference(transitivity,[status(thm)],[3154, 2281])).
% 2.07/2.28 tff(3156,plain,
% 2.07/2.28 ((~(~((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))))))) <=> ((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12)))))),
% 2.07/2.28 inference(rewrite,[status(thm)],[])).
% 2.07/2.28 tff(3157,plain,
% 2.07/2.28 (((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) <=> (~((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))))))),
% 2.07/2.28 inference(rewrite,[status(thm)],[])).
% 2.07/2.28 tff(3158,plain,
% 2.07/2.28 ((~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12))))) <=> (~(~((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12)))))))),
% 2.07/2.28 inference(monotonicity,[status(thm)],[3157])).
% 2.07/2.28 tff(3159,plain,
% 2.07/2.28 ((~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12))))) <=> ((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12)))))),
% 2.07/2.28 inference(transitivity,[status(thm)],[3158, 3156])).
% 2.07/2.28 tff(3160,plain,
% 2.07/2.28 ((~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12))))) <=> (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))))),
% 2.07/2.28 inference(rewrite,[status(thm)],[])).
% 2.07/2.28 tff(3161,plain,
% 2.07/2.28 (((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12)))) <=> ((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12))))),
% 2.07/2.28 inference(rewrite,[status(thm)],[])).
% 2.07/2.28 tff(3162,plain,
% 2.07/2.28 ((~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12))))) <=> (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12)))))),
% 2.07/2.29 inference(monotonicity,[status(thm)],[3161])).
% 2.07/2.29 tff(3163,plain,
% 2.07/2.29 ((~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12)))))) <=> (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12)))))),
% 2.14/2.29 inference(rewrite,[status(thm)],[])).
% 2.14/2.29 tff(3164,plain,
% 2.14/2.29 (((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12))))) <=> ((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12)))))),
% 2.14/2.29 inference(rewrite,[status(thm)],[])).
% 2.14/2.29 tff(3165,plain,
% 2.14/2.29 ((~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12)))))) <=> (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12))))))),
% 2.14/2.30 inference(monotonicity,[status(thm)],[3164])).
% 2.14/2.30 tff(3166,plain,
% 2.14/2.30 ((~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))) <=> (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12))))))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(3167,plain,
% 2.14/2.30 ((~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))) <=> (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23))))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(3168,plain,
% 2.14/2.30 ((~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))) <=> (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23))))),
% 2.14/2.30 inference(rewrite,[status(thm)],[])).
% 2.14/2.30 tff(3169,plain,
% 2.14/2.30 (((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23))) <=> ((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(3170,plain,
% 2.14/2.31 ((~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))) <=> (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23))))),
% 2.14/2.31 inference(monotonicity,[status(thm)],[3169])).
% 2.14/2.31 tff(3171,plain,
% 2.14/2.31 ((~((((((((((((((((((((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13)))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12)))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11)))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13)))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11)))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12)))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))) & ((((h3(e10) = e20) | (h3(e11) = e20)) | (h3(e12) = e20)) | (h3(e13) = e20))) & ((((h3(e10) = e21) | (h3(e11) = e21)) | (h3(e12) = e21)) | (h3(e13) = e21))) & ((((h3(e10) = e22) | (h3(e11) = e22)) | (h3(e12) = e22)) | (h3(e13) = e22))) & ((((h3(e10) = e23) | (h3(e11) = e23)) | (h3(e12) = e23)) | (h3(e13) = e23)))) <=> (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23))))),
% 2.14/2.31 inference(rewrite,[status(thm)],[])).
% 2.14/2.31 tff(3172,plain,
% 2.14/2.31 (~((((((((((((((((((((((h1(op1(e10, e10)) = op2(h1(e10), h1(e10))) & (h1(op1(e10, e11)) = op2(h1(e10), h1(e11)))) & (h1(op1(e10, e12)) = op2(h1(e10), h1(e12)))) & (h1(op1(e10, e13)) = op2(h1(e10), h1(e13)))) & (h1(op1(e11, e10)) = op2(h1(e11), h1(e10)))) & (h1(op1(e11, e11)) = op2(h1(e11), h1(e11)))) & (h1(op1(e11, e12)) = op2(h1(e11), h1(e12)))) & (h1(op1(e11, e13)) = op2(h1(e11), h1(e13)))) & (h1(op1(e12, e10)) = op2(h1(e12), h1(e10)))) & (h1(op1(e12, e11)) = op2(h1(e12), h1(e11)))) & (h1(op1(e12, e12)) = op2(h1(e12), h1(e12)))) & (h1(op1(e12, e13)) = op2(h1(e12), h1(e13)))) & (h1(op1(e13, e10)) = op2(h1(e13), h1(e10)))) & (h1(op1(e13, e11)) = op2(h1(e13), h1(e11)))) & (h1(op1(e13, e12)) = op2(h1(e13), h1(e12)))) & (h1(op1(e13, e13)) = op2(h1(e13), h1(e13)))) & ((((h1(e10) = e20) | (h1(e11) = e20)) | (h1(e12) = e20)) | (h1(e13) = e20))) & ((((h1(e10) = e21) | (h1(e11) = e21)) | (h1(e12) = e21)) | (h1(e13) = e21))) & ((((h1(e10) = e22) | (h1(e11) = e22)) | (h1(e12) = e22)) | (h1(e13) = e22))) & ((((h1(e10) = e23) | (h1(e11) = e23)) | (h1(e12) = e23)) | (h1(e13) = e23))) | ((((((((((((((((((((h2(op1(e10, e10)) = op2(h2(e10), h2(e10))) & (h2(op1(e10, e11)) = op2(h2(e10), h2(e11)))) & (h2(op1(e10, e12)) = op2(h2(e10), h2(e12)))) & (h2(op1(e10, e13)) = op2(h2(e10), h2(e13)))) & (h2(op1(e11, e10)) = op2(h2(e11), h2(e10)))) & (h2(op1(e11, e11)) = op2(h2(e11), h2(e11)))) & (h2(op1(e11, e12)) = op2(h2(e11), h2(e12)))) & (h2(op1(e11, e13)) = op2(h2(e11), h2(e13)))) & (h2(op1(e12, e10)) = op2(h2(e12), h2(e10)))) & (h2(op1(e12, e11)) = op2(h2(e12), h2(e11)))) & (h2(op1(e12, e12)) = op2(h2(e12), h2(e12)))) & (h2(op1(e12, e13)) = op2(h2(e12), h2(e13)))) & (h2(op1(e13, e10)) = op2(h2(e13), h2(e10)))) & (h2(op1(e13, e11)) = op2(h2(e13), h2(e11)))) & (h2(op1(e13, e12)) = op2(h2(e13), h2(e12)))) & (h2(op1(e13, e13)) = op2(h2(e13), h2(e13)))) & ((((h2(e10) = e20) | (h2(e11) = e20)) | (h2(e12) = e20)) | (h2(e13) = e20))) & ((((h2(e10) = e21) | (h2(e11) = e21)) | (h2(e12) = e21)) | (h2(e13) = e21))) & ((((h2(e10) = e22) | (h2(e11) = e22)) | (h2(e12) = e22)) | (h2(e13) = e22))) & ((((h2(e10) = e23) | (h2(e11) = e23)) | (h2(e12) = e23)) | (h2(e13) = e23)))) | ((((((((((((((((((((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13)))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12)))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11)))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13)))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11)))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12)))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))) & ((((h3(e10) = e20) | (h3(e11) = e20)) | (h3(e12) = e20)) | (h3(e13) = e20))) & ((((h3(e10) = e21) | (h3(e11) = e21)) | (h3(e12) = e21)) | (h3(e13) = e21))) & ((((h3(e10) = e22) | (h3(e11) = e22)) | (h3(e12) = e22)) | (h3(e13) = e22))) & ((((h3(e10) = e23) | (h3(e11) = e23)) | (h3(e12) = e23)) | (h3(e13) = e23))))),
% 2.14/2.31 inference(or_elim,[status(thm)],[2658])).
% 2.14/2.31 tff(3173,plain,
% 2.14/2.31 (~((((((((((((((((((((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11)))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12)))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13)))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10)))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11)))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12)))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13)))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10)))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11)))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12)))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13)))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10)))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11)))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12)))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13)))) & ((((h3(e10) = e20) | (h3(e11) = e20)) | (h3(e12) = e20)) | (h3(e13) = e20))) & ((((h3(e10) = e21) | (h3(e11) = e21)) | (h3(e12) = e21)) | (h3(e13) = e21))) & ((((h3(e10) = e22) | (h3(e11) = e22)) | (h3(e12) = e22)) | (h3(e13) = e22))) & ((((h3(e10) = e23) | (h3(e11) = e23)) | (h3(e12) = e23)) | (h3(e13) = e23)))),
% 2.14/2.31 inference(or_elim,[status(thm)],[3172])).
% 2.14/2.31 tff(3174,plain,
% 2.14/2.31 (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[3173, 3171])).
% 2.14/2.31 tff(3175,plain,
% 2.14/2.31 (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e12) = e22) | (h3(e10) = e22) | (h3(e11) = e22) | (h3(e13) = e22)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))),
% 2.14/2.31 inference(modus_ponens,[status(thm)],[3174, 3170])).
% 2.14/2.31 tff(3176,plain,
% 2.14/2.31 (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3175, 3168])).
% 2.14/2.32 tff(3177,plain,
% 2.14/2.32 (~((h3(op1(e10, e10)) = op2(h3(e10), h3(e10))) & (h3(op1(e10, e11)) = op2(h3(e10), h3(e11))) & (h3(op1(e10, e12)) = op2(h3(e10), h3(e12))) & (h3(op1(e10, e13)) = op2(h3(e10), h3(e13))) & (h3(op1(e11, e10)) = op2(h3(e11), h3(e10))) & (h3(op1(e11, e11)) = op2(h3(e11), h3(e11))) & (h3(op1(e11, e12)) = op2(h3(e11), h3(e12))) & (h3(op1(e11, e13)) = op2(h3(e11), h3(e13))) & (h3(op1(e12, e10)) = op2(h3(e12), h3(e10))) & (h3(op1(e12, e11)) = op2(h3(e12), h3(e11))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, e13)) = op2(h3(e12), h3(e13))) & (h3(op1(e13, e10)) = op2(h3(e13), h3(e10))) & (h3(op1(e13, e11)) = op2(h3(e13), h3(e11))) & (h3(op1(e13, e12)) = op2(h3(e13), h3(e12))) & (h3(op1(e13, e13)) = op2(h3(e13), h3(e13))) & ((h3(e10) = e20) | (h3(e11) = e20) | (h3(e12) = e20) | (h3(e13) = e20)) & ((h3(e10) = e21) | (h3(e11) = e21) | (h3(e12) = e21) | (h3(e13) = e21)) & ((h3(e10) = e23) | (h3(e11) = e23) | (h3(e12) = e23) | (h3(e13) = e23)))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3176, 3167])).
% 2.14/2.32 tff(3178,plain,
% 2.14/2.32 (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12)))))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3177, 3166])).
% 2.14/2.32 tff(3179,plain,
% 2.14/2.32 (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h3(op1(e12, op1(e12, e12))), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, e12))), h3(op1(e12, e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h3(op1(e12, op1(e12, op1(e12, e12)))), h3(op1(e12, e12)))) & (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(op1(e12, op1(e12, e12))))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) & (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(op1(e12, e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, e12))))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(op1(e12, e12)), h3(op1(e12, op1(e12, op1(e12, e12)))))) & (h3(op1(op1(e12, e12), e12)) = op2(h3(op1(e12, e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h3(op1(e12, e12)), h3(op1(e12, e12)))) & ((h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) & ((h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(e12) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (h3(op1(e12, e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) & ((h3(op1(e12, e12)) = op2(h3(e12), h3(e12))) | (h3(e12) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, e12))) = op2(h3(e12), h3(e12))) | (h3(op1(e12, op1(e12, op1(e12, e12)))) = op2(h3(e12), h3(e12)))))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3178, 3165])).
% 2.14/2.32 tff(3180,plain,
% 2.14/2.32 (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12))))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3179, 3163])).
% 2.14/2.32 tff(3181,plain,
% 2.14/2.32 (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), op2(h3(e12), h3(e12)))) & (h2(e12) = op2(h3(e12), h1(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (op2(h3(e12), h3(e12)) = h4(e12)) & (h1(e12) = op2(h3(e12), op2(h3(e12), h3(e12)))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h3(e12), h3(e12)), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h3(e12), h3(e12)), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))) & ((op2(h3(e12), h3(e12)) = h4(e12)) | (h1(e12) = h4(e12)) | (h2(e12) = h4(e12))))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3180, 3162])).
% 2.14/2.32 tff(3182,plain,
% 2.14/2.32 (~((h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))) & (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))) & (h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))) & (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))) & (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) & (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12))))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3181, 3160])).
% 2.14/2.32 tff(3183,plain,
% 2.14/2.32 ((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h3(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3182, 3159])).
% 2.14/2.32 tff(3184,plain,
% 2.14/2.32 ((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[3183, 3155])).
% 2.14/2.32 tff(3185,plain,
% 2.14/2.32 (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12)))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[3184, 3153, 3116, 3114, 3073, 3028, 2999, 2953, 2892, 2826, 2785, 2771])).
% 2.14/2.32 tff(3186,plain,
% 2.14/2.32 ($false),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[3185, 2760])).
% 2.14/2.32 tff(3187,plain,(~(op2(h2(e12), h2(e12)) = h2(e12))), inference(lemma,lemma(discharge,[]))).
% 2.14/2.32 tff(3188,plain,
% 2.14/2.32 ((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1515, 3187])).
% 2.14/2.32 tff(3189,plain,
% 2.14/2.32 (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1416, 3188])).
% 2.14/2.32 tff(3190,plain,
% 2.14/2.32 (((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12))))) | (~(h2(op1(e12, e12)) = h1(e12)))),
% 2.14/2.32 inference(tautology,[status(thm)],[])).
% 2.14/2.32 tff(3191,plain,
% 2.14/2.32 (~(h2(op1(e12, e12)) = h1(e12))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[3190, 3189])).
% 2.14/2.32 tff(3192,plain,
% 2.14/2.32 ((h1(e12) = op2(h1(e12), h2(e12))) <=> (op2(h1(e12), h2(e12)) = h1(e12))),
% 2.14/2.32 inference(commutativity,[status(thm)],[])).
% 2.14/2.32 tff(3193,plain,
% 2.14/2.32 (op2(h1(e12), h1(e12)) = h1(e12)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1310, 3189])).
% 2.14/2.32 tff(3194,plain,
% 2.14/2.32 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12))) <=> (h1(e12) = op2(h1(e12), h2(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3193])).
% 2.14/2.32 tff(3195,plain,
% 2.14/2.32 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12))) <=> (op2(h1(e12), h2(e12)) = h1(e12))),
% 2.14/2.32 inference(transitivity,[status(thm)],[3194, 3192])).
% 2.14/2.32 tff(3196,plain,
% 2.14/2.32 ((~(op2(h1(e12), h1(e12)) = op2(h1(e12), h2(e12)))) <=> (~(op2(h1(e12), h2(e12)) = h1(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3195])).
% 2.14/2.32 tff(3197,plain,
% 2.14/2.32 (~(op2(h1(e12), h2(e12)) = h1(e12))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[1254, 3196])).
% 2.14/2.32 tff(3198,plain,
% 2.14/2.32 (op2(h4(e12), h2(e12)) = h1(e12)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1300, 3197, 3191])).
% 2.14/2.32 tff(3199,plain,
% 2.14/2.32 ((op2(h4(e12), h2(e12)) = h2(e12)) <=> (h1(e12) = h2(e12))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3198])).
% 2.14/2.32 tff(3200,plain,
% 2.14/2.32 ((op2(h4(e12), h2(e12)) = h2(e12)) <=> (h2(e12) = h1(e12))),
% 2.14/2.32 inference(transitivity,[status(thm)],[3199, 1])).
% 2.14/2.32 tff(3201,plain,
% 2.14/2.32 ((h2(e12) = h1(e12)) <=> (op2(h4(e12), h2(e12)) = h2(e12))),
% 2.14/2.32 inference(symmetry,[status(thm)],[3200])).
% 2.14/2.32 tff(3202,plain,
% 2.14/2.32 ((~(h2(e12) = h1(e12))) <=> (~(op2(h4(e12), h2(e12)) = h2(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3201])).
% 2.14/2.32 tff(3203,plain,
% 2.14/2.32 (~(op2(h4(e12), h2(e12)) = h2(e12))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[1265, 3202])).
% 2.14/2.32 tff(3204,plain,
% 2.14/2.32 ((h2(e12) = h4(op1(e12, e12))) <=> (h4(op1(e12, e12)) = h2(e12))),
% 2.14/2.32 inference(commutativity,[status(thm)],[])).
% 2.14/2.32 tff(3205,plain,
% 2.14/2.32 ((h1(e12) = op2(op2(h3(e12), h3(e12)), h3(e12))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12))),
% 2.14/2.32 inference(commutativity,[status(thm)],[])).
% 2.14/2.32 tff(3206,assumption,(~(op2(h2(e12), h2(e12)) = h2(e12))), introduced(assumption)).
% 2.14/2.32 tff(3207,plain,
% 2.14/2.32 ((~(op2(h2(e12), h2(e12)) = h2(e12))) | (~((~(h4(e12) = h2(e12))) | (op2(h3(e12), h2(e12)) = h3(e12)))) | (~((~(h4(op1(e12, e12)) = h2(e12))) | (op2(h4(e12), h2(e12)) = h4(e12))))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1515, 3206])).
% 2.14/2.32 tff(3208,plain,
% 2.14/2.32 (~((h2(op1(e12, e12)) = h1(e12)) | (~(op2(h1(e12), h1(e12)) = h1(e12))) | (~((~(h4(op1(e12, e12)) = h1(e12))) | (op2(h4(e12), h1(e12)) = h4(e12)))))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1416, 3207])).
% 2.14/2.32 tff(3209,plain,
% 2.14/2.32 (~(h2(op1(e12, e12)) = h1(e12))),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[3190, 3208])).
% 2.14/2.32 tff(3210,plain,
% 2.14/2.32 (op2(h4(e12), h2(e12)) = h1(e12)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1300, 3209, 1130])).
% 2.14/2.32 tff(3211,plain,
% 2.14/2.32 ((op2(h4(e12), h2(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) <=> (h1(e12) = op2(op2(h3(e12), h3(e12)), h3(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3210])).
% 2.14/2.32 tff(3212,plain,
% 2.14/2.32 ((op2(h4(e12), h2(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12))),
% 2.14/2.32 inference(transitivity,[status(thm)],[3211, 3205])).
% 2.14/2.32 tff(3213,plain,
% 2.14/2.32 ((~(op2(h4(e12), h2(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) <=> (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3212])).
% 2.14/2.32 tff(3214,plain,
% 2.14/2.32 ((~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), h3(e12)), h3(e12)))) <=> (~(op2(h4(e12), h2(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(3215,plain,
% 2.14/2.32 ((~(op2(e23, e21) = op2(e23, e22))) <=> (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), h3(e12)), h3(e12))))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(3216,plain,
% 2.14/2.32 ((~(op2(e23, e21) = op2(e23, e22))) <=> (~(op2(e23, e21) = op2(e23, e22)))),
% 2.14/2.32 inference(rewrite,[status(thm)],[])).
% 2.14/2.32 tff(3217,plain,
% 2.14/2.32 (~(op2(e23, e21) = op2(e23, e22))),
% 2.14/2.32 inference(and_elim,[status(thm)],[13])).
% 2.14/2.32 tff(3218,plain,
% 2.14/2.32 (~(op2(e23, e21) = op2(e23, e22))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 2.14/2.32 tff(3219,plain,
% 2.14/2.32 (~(op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(op2(h3(e12), h3(e12)), h3(e12)))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3218, 3215])).
% 2.14/2.32 tff(3220,plain,
% 2.14/2.32 (~(op2(h4(e12), h2(e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3219, 3214])).
% 2.14/2.32 tff(3221,plain,
% 2.14/2.32 (~(op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[3220, 3213])).
% 2.14/2.32 tff(3222,plain,
% 2.14/2.32 (op2(h2(e12), h3(e12)) = h2(e12)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[660, 3206, 605])).
% 2.14/2.32 tff(3223,plain,
% 2.14/2.32 ((op2(h2(e12), h3(e12)) = h1(e12)) <=> (h2(e12) = h1(e12))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3222])).
% 2.14/2.32 tff(3224,plain,
% 2.14/2.32 ((h2(e12) = h1(e12)) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.32 inference(symmetry,[status(thm)],[3223])).
% 2.14/2.32 tff(3225,plain,
% 2.14/2.32 ((~(h2(e12) = h1(e12))) <=> (~(op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3224])).
% 2.14/2.32 tff(3226,plain,
% 2.14/2.32 (~(op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.32 inference(modus_ponens,[status(thm)],[1265, 3225])).
% 2.14/2.32 tff(3227,plain,
% 2.14/2.32 (op2(h1(e12), h1(e12)) = h1(e12)),
% 2.14/2.32 inference(unit_resolution,[status(thm)],[1310, 3208])).
% 2.14/2.32 tff(3228,plain,
% 2.14/2.32 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))) <=> (h1(e12) = op2(h1(e12), h3(e12)))),
% 2.14/2.32 inference(monotonicity,[status(thm)],[3227])).
% 2.14/2.32 tff(3229,plain,
% 2.14/2.32 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 2.14/2.32 inference(transitivity,[status(thm)],[3228, 56])).
% 2.14/2.32 tff(3230,plain,
% 2.14/2.32 ((~(op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3229])).
% 2.14/2.33 tff(3231,plain,
% 2.14/2.33 (~(op2(h1(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[500, 3230])).
% 2.14/2.33 tff(3232,plain,
% 2.14/2.33 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3233,plain,
% 2.14/2.33 (((op2(h1(e12), h3(e12)) = h1(e12)) | $false | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3234,plain,
% 2.14/2.33 ((h4(e12) = h1(e12)) <=> $false),
% 2.14/2.33 inference(iff_false,[status(thm)],[538])).
% 2.14/2.33 tff(3235,plain,
% 2.14/2.33 (((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | $false | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3234])).
% 2.14/2.33 tff(3236,plain,
% 2.14/2.33 (((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(transitivity,[status(thm)],[3235, 3233])).
% 2.14/2.33 tff(3237,plain,
% 2.14/2.33 (((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3238,plain,
% 2.14/2.33 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3239,plain,
% 2.14/2.33 ((op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3240,plain,
% 2.14/2.33 ((op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (h4(e12) = h1(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3241,plain,
% 2.14/2.33 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3242,plain,
% 2.14/2.33 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3243,plain,
% 2.14/2.33 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3242, 3241, 3240, 3239])).
% 2.14/2.33 tff(3244,plain,
% 2.14/2.33 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)))),
% 2.14/2.33 inference(transitivity,[status(thm)],[3243, 3238])).
% 2.14/2.33 tff(3245,plain,
% 2.14/2.33 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3246,plain,
% 2.14/2.33 ((op2(e23, e22) = e20) <=> (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3247,plain,
% 2.14/2.33 ((op2(e22, e22) = e20) <=> (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3248,plain,
% 2.14/2.33 (((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[694, 2481, 3247, 3246])).
% 2.14/2.33 tff(3249,plain,
% 2.14/2.33 (((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.33 inference(transitivity,[status(thm)],[3248, 3245])).
% 2.14/2.33 tff(3250,plain,
% 2.14/2.33 (((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20)) <=> ((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3251,plain,
% 2.14/2.33 ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20)) <=> ((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3252,plain,
% 2.14/2.33 ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) <=> ((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3253,plain,
% 2.14/2.33 (((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20)) <=> (((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3252])).
% 2.14/2.33 tff(3254,plain,
% 2.14/2.33 (((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20)) <=> ((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20))),
% 2.14/2.33 inference(transitivity,[status(thm)],[3253, 3251])).
% 2.14/2.33 tff(3255,plain,
% 2.14/2.33 ((((op2(e20, e22) = e20) | (op2(e21, e22) = e20)) | (op2(e22, e22) = e20)) | (op2(e23, e22) = e20)),
% 2.14/2.33 inference(and_elim,[status(thm)],[586])).
% 2.14/2.33 tff(3256,plain,
% 2.14/2.33 ((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 2.14/2.33 tff(3257,plain,
% 2.14/2.33 ((op2(e20, e22) = e20) | (op2(e21, e22) = e20) | (op2(e22, e22) = e20) | (op2(e23, e22) = e20)),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3256, 3250])).
% 2.14/2.33 tff(3258,plain,
% 2.14/2.33 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3257, 3249])).
% 2.14/2.33 tff(3259,plain,
% 2.14/2.33 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3258, 3245])).
% 2.14/2.33 tff(3260,plain,
% 2.14/2.33 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(h3(e12), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3259, 3245])).
% 2.14/2.33 tff(3261,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3260, 3244])).
% 2.14/2.33 tff(3262,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (h4(e12) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3261, 3237])).
% 2.14/2.33 tff(3263,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3262, 3236])).
% 2.14/2.33 tff(3264,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3263, 3232])).
% 2.14/2.33 tff(3265,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3264, 3232])).
% 2.14/2.33 tff(3266,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3265, 3232])).
% 2.14/2.33 tff(3267,plain,
% 2.14/2.33 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3266, 3232])).
% 2.14/2.33 tff(3268,plain,
% 2.14/2.33 ($false),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[3267, 3231, 3226, 3221])).
% 2.14/2.33 tff(3269,plain,((op2(h2(e12), h2(e12)) = h2(e12)) | (op2(h1(e12), h2(e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h2(e12))), inference(lemma,lemma(discharge,[]))).
% 2.14/2.33 tff(3270,plain,
% 2.14/2.33 (op2(h2(e12), h4(e12)) = h2(e12)),
% 2.14/2.33 inference(unit_resolution,[status(thm)],[3269, 3197, 3187])).
% 2.14/2.33 tff(3271,plain,
% 2.14/2.33 ((op2(h2(e12), h4(e12)) = op2(h4(e12), h4(e12))) <=> (h2(e12) = h4(op1(e12, e12)))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3270, 1595])).
% 2.14/2.33 tff(3272,plain,
% 2.14/2.33 ((op2(h2(e12), h4(e12)) = op2(h4(e12), h4(e12))) <=> (h4(op1(e12, e12)) = h2(e12))),
% 2.14/2.33 inference(transitivity,[status(thm)],[3271, 3204])).
% 2.14/2.33 tff(3273,plain,
% 2.14/2.33 ((~(op2(h2(e12), h4(e12)) = op2(h4(e12), h4(e12)))) <=> (~(h4(op1(e12, e12)) = h2(e12)))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3272])).
% 2.14/2.33 tff(3274,plain,
% 2.14/2.33 ((~(op2(h2(e12), h4(e12)) = h4(op1(e12, e12)))) <=> (~(op2(h2(e12), h4(e12)) = op2(h4(e12), h4(e12))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3275,plain,
% 2.14/2.33 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))) <=> (~(op2(h2(e12), h4(e12)) = h4(op1(e12, e12))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3276,plain,
% 2.14/2.33 ((~(op2(e21, e23) = op2(e23, e23))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12)))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3277,plain,
% 2.14/2.33 ((~(op2(e21, e23) = op2(e23, e23))) <=> (~(op2(e21, e23) = op2(e23, e23)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3278,plain,
% 2.14/2.33 (~(op2(e21, e23) = op2(e23, e23))),
% 2.14/2.33 inference(and_elim,[status(thm)],[83])).
% 2.14/2.33 tff(3279,plain,
% 2.14/2.33 (~(op2(e21, e23) = op2(e23, e23))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 2.14/2.33 tff(3280,plain,
% 2.14/2.33 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3279, 3276])).
% 2.14/2.33 tff(3281,plain,
% 2.14/2.33 (~(op2(h2(e12), h4(e12)) = h4(op1(e12, e12)))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3280, 3275])).
% 2.14/2.33 tff(3282,plain,
% 2.14/2.33 (~(op2(h2(e12), h4(e12)) = op2(h4(e12), h4(e12)))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3281, 3274])).
% 2.14/2.33 tff(3283,plain,
% 2.14/2.33 (~(h4(op1(e12, e12)) = h2(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3282, 3273])).
% 2.14/2.33 tff(3284,plain,
% 2.14/2.33 ((h2(e12) = op2(h4(e12), h1(e12))) <=> (op2(h4(e12), h1(e12)) = h2(e12))),
% 2.14/2.33 inference(commutativity,[status(thm)],[])).
% 2.14/2.33 tff(3285,plain,
% 2.14/2.33 ((~(h2(e12) = op2(h4(e12), h1(e12)))) <=> (~(op2(h4(e12), h1(e12)) = h2(e12)))),
% 2.14/2.33 inference(monotonicity,[status(thm)],[3284])).
% 2.14/2.33 tff(3286,plain,
% 2.14/2.33 ((~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~(h2(e12) = op2(h4(e12), h1(e12))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3287,plain,
% 2.14/2.33 ((~(op2(e22, e20) = op2(e23, e20))) <=> (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3288,plain,
% 2.14/2.33 ((~(op2(e22, e20) = op2(e23, e20))) <=> (~(op2(e22, e20) = op2(e23, e20)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3289,plain,
% 2.14/2.33 (~(op2(e22, e20) = op2(e23, e20))),
% 2.14/2.33 inference(and_elim,[status(thm)],[170])).
% 2.14/2.33 tff(3290,plain,
% 2.14/2.33 (~(op2(e22, e20) = op2(e23, e20))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 2.14/2.33 tff(3291,plain,
% 2.14/2.33 (~(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3290, 3287])).
% 2.14/2.33 tff(3292,plain,
% 2.14/2.33 (~(h2(e12) = op2(h4(e12), h1(e12)))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3291, 3286])).
% 2.14/2.33 tff(3293,plain,
% 2.14/2.33 (~(op2(h4(e12), h1(e12)) = h2(e12))),
% 2.14/2.33 inference(modus_ponens,[status(thm)],[3292, 3285])).
% 2.14/2.33 tff(3294,plain,
% 2.14/2.33 (((op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12))) <=> ((h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3295,plain,
% 2.14/2.33 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (h4(op1(e12, e12)) = h2(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3296,plain,
% 2.14/2.33 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(h4(e12), h2(e12)) = h2(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3297,plain,
% 2.14/2.33 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (op2(h4(e12), h1(e12)) = h2(e12))),
% 2.14/2.33 inference(rewrite,[status(thm)],[])).
% 2.14/2.33 tff(3298,plain,
% 2.14/2.33 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3297, 3296, 1549, 3295])).
% 2.14/2.34 tff(3299,plain,
% 2.14/2.34 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)))),
% 2.14/2.34 inference(transitivity,[status(thm)],[3298, 3294])).
% 2.14/2.34 tff(3300,plain,
% 2.14/2.34 (((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3301,plain,
% 2.14/2.34 ((op2(e23, e21) = e21) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3302,plain,
% 2.14/2.34 ((op2(e23, e20) = e21) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3303,plain,
% 2.14/2.34 (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3302, 3301, 1555, 1450])).
% 2.14/2.34 tff(3304,plain,
% 2.14/2.34 (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)) <=> ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.34 inference(transitivity,[status(thm)],[3303, 3300])).
% 2.14/2.34 tff(3305,plain,
% 2.14/2.34 (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3306,plain,
% 2.14/2.34 ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3307,plain,
% 2.14/2.34 ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3308,plain,
% 2.14/2.34 (((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)) <=> (((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3307])).
% 2.14/2.34 tff(3309,plain,
% 2.14/2.34 (((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)) <=> ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21))),
% 2.14/2.34 inference(transitivity,[status(thm)],[3308, 3306])).
% 2.14/2.34 tff(3310,plain,
% 2.14/2.34 ((((op2(e23, e20) = e21) | (op2(e23, e21) = e21)) | (op2(e23, e22) = e21)) | (op2(e23, e23) = e21)),
% 2.14/2.34 inference(and_elim,[status(thm)],[577])).
% 2.14/2.34 tff(3311,plain,
% 2.14/2.34 ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3310, 3309])).
% 2.14/2.34 tff(3312,plain,
% 2.14/2.34 ((op2(e23, e20) = e21) | (op2(e23, e21) = e21) | (op2(e23, e22) = e21) | (op2(e23, e23) = e21)),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3311, 3305])).
% 2.14/2.34 tff(3313,plain,
% 2.14/2.34 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3312, 3304])).
% 2.14/2.34 tff(3314,plain,
% 2.14/2.34 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3313, 3300])).
% 2.14/2.34 tff(3315,plain,
% 2.14/2.34 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3314, 3300])).
% 2.14/2.34 tff(3316,plain,
% 2.14/2.34 ((h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h1(e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3315, 3299])).
% 2.14/2.34 tff(3317,plain,
% 2.14/2.34 ((h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h2(e12)) = h2(e12)) | (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12))),
% 2.14/2.34 inference(unit_resolution,[status(thm)],[3316, 3293])).
% 2.14/2.34 tff(3318,plain,
% 2.14/2.34 (op2(op2(h3(e12), h3(e12)), h3(e12)) = h2(e12)),
% 2.14/2.34 inference(unit_resolution,[status(thm)],[3317, 3283, 3203])).
% 2.14/2.34 tff(3319,plain,
% 2.14/2.34 (h1(op1(e12, e12)) = h1(e12)),
% 2.14/2.34 inference(transitivity,[status(thm)],[1242, 3193])).
% 2.14/2.34 tff(3320,plain,
% 2.14/2.34 ((h1(op1(e12, e12)) = h4(e12)) <=> (h1(e12) = h4(e12))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3319])).
% 2.14/2.34 tff(3321,plain,
% 2.14/2.34 ((h1(op1(e12, e12)) = h4(e12)) <=> (h4(e12) = h1(e12))),
% 2.14/2.34 inference(transitivity,[status(thm)],[3320, 531])).
% 2.14/2.34 tff(3322,plain,
% 2.14/2.34 ((h4(e12) = h1(e12)) <=> (h1(op1(e12, e12)) = h4(e12))),
% 2.14/2.34 inference(symmetry,[status(thm)],[3321])).
% 2.14/2.34 tff(3323,plain,
% 2.14/2.34 ((~(h4(e12) = h1(e12))) <=> (~(h1(op1(e12, e12)) = h4(e12)))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3322])).
% 2.14/2.34 tff(3324,plain,
% 2.14/2.34 (~(h1(op1(e12, e12)) = h4(e12))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[538, 3323])).
% 2.14/2.34 tff(3325,plain,
% 2.14/2.34 (op2(h2(e12), h2(e12)) = h2(op1(e12, e12))),
% 2.14/2.34 inference(symmetry,[status(thm)],[514])).
% 2.14/2.34 tff(3326,plain,
% 2.14/2.34 ((op2(h2(e12), h2(e12)) = op2(h3(e12), h2(e12))) <=> (h2(op1(e12, e12)) = h3(e12))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3325, 1196])).
% 2.14/2.34 tff(3327,plain,
% 2.14/2.34 ((~(op2(h2(e12), h2(e12)) = op2(h3(e12), h2(e12)))) <=> (~(h2(op1(e12, e12)) = h3(e12)))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3326])).
% 2.14/2.34 tff(3328,plain,
% 2.14/2.34 ((~(h2(op1(e12, e12)) = op2(h3(e12), h2(e12)))) <=> (~(op2(h2(e12), h2(e12)) = op2(h3(e12), h2(e12))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3329,plain,
% 2.14/2.34 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(h2(op1(e12, e12)) = op2(h3(e12), h2(e12))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3330,plain,
% 2.14/2.34 ((~(op2(e21, e21) = op2(e22, e21))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3331,plain,
% 2.14/2.34 ((~(op2(e21, e21) = op2(e22, e21))) <=> (~(op2(e21, e21) = op2(e22, e21)))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3332,plain,
% 2.14/2.34 (~(op2(e21, e21) = op2(e22, e21))),
% 2.14/2.34 inference(and_elim,[status(thm)],[166])).
% 2.14/2.34 tff(3333,plain,
% 2.14/2.34 (~(op2(e21, e21) = op2(e22, e21))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 2.14/2.34 tff(3334,plain,
% 2.14/2.34 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3333, 3330])).
% 2.14/2.34 tff(3335,plain,
% 2.14/2.34 (~(h2(op1(e12, e12)) = op2(h3(e12), h2(e12)))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3334, 3329])).
% 2.14/2.34 tff(3336,plain,
% 2.14/2.34 (~(op2(h2(e12), h2(e12)) = op2(h3(e12), h2(e12)))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3335, 3328])).
% 2.14/2.34 tff(3337,plain,
% 2.14/2.34 (~(h2(op1(e12, e12)) = h3(e12))),
% 2.14/2.34 inference(modus_ponens,[status(thm)],[3336, 3327])).
% 2.14/2.34 tff(3338,plain,
% 2.14/2.34 (((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12))) <=> ((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3339,plain,
% 2.14/2.34 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3340,plain,
% 2.14/2.34 ((h2(op1(e12, e12)) = h2(e12)) <=> (op2(h2(e12), h2(e12)) = h2(e12))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3341,plain,
% 2.14/2.34 (((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h2(e12)) | (h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)) | (h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h4(e12)))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[3340])).
% 2.14/2.34 tff(3342,plain,
% 2.14/2.34 (((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h2(e12)) | (h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h4(e12))) <=> ((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12)))),
% 2.14/2.34 inference(transitivity,[status(thm)],[3341, 3339])).
% 2.14/2.34 tff(3343,plain,
% 2.14/2.34 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h2(e12)) | (h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h4(e12)))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3344,plain,
% 2.14/2.34 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3345,plain,
% 2.14/2.34 ((op2(e21, e21) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3346,plain,
% 2.14/2.34 (((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 2.14/2.34 inference(monotonicity,[status(thm)],[1280, 637, 3345, 563])).
% 2.14/2.34 tff(3347,plain,
% 2.14/2.34 (((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))))),
% 2.14/2.34 inference(transitivity,[status(thm)],[3346, 3344])).
% 2.14/2.34 tff(3348,plain,
% 2.14/2.34 (((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23)) <=> ((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3349,plain,
% 2.14/2.34 ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23)) <=> ((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3350,plain,
% 2.14/2.34 ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) <=> ((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22))),
% 2.14/2.34 inference(rewrite,[status(thm)],[])).
% 2.14/2.34 tff(3351,plain,
% 2.14/2.34 (((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23)) <=> (((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3350])).
% 2.14/2.35 tff(3352,plain,
% 2.14/2.35 (((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23)) <=> ((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23))),
% 2.14/2.35 inference(transitivity,[status(thm)],[3351, 3349])).
% 2.14/2.35 tff(3353,plain,
% 2.14/2.35 ((((op2(e21, e21) = e20) | (op2(e21, e21) = e21)) | (op2(e21, e21) = e22)) | (op2(e21, e21) = e23)),
% 2.14/2.35 inference(and_elim,[status(thm)],[1221])).
% 2.14/2.35 tff(3354,plain,
% 2.14/2.35 ((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23)),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3353, 3352])).
% 2.14/2.35 tff(3355,plain,
% 2.14/2.35 ((op2(e21, e21) = e20) | (op2(e21, e21) = e21) | (op2(e21, e21) = e22) | (op2(e21, e21) = e23)),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3354, 3348])).
% 2.14/2.35 tff(3356,plain,
% 2.14/2.35 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3355, 3347])).
% 2.14/2.35 tff(3357,plain,
% 2.14/2.35 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3356, 3344])).
% 2.14/2.35 tff(3358,plain,
% 2.14/2.35 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3357, 3344])).
% 2.14/2.35 tff(3359,plain,
% 2.14/2.35 ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h2(e12)) | (h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3358, 3343])).
% 2.14/2.35 tff(3360,plain,
% 2.14/2.35 ((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3359, 3342])).
% 2.14/2.35 tff(3361,plain,
% 2.14/2.35 ((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3360, 3338])).
% 2.14/2.35 tff(3362,plain,
% 2.14/2.35 ((h2(op1(e12, e12)) = h3(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3361, 3338])).
% 2.14/2.35 tff(3363,plain,
% 2.14/2.35 ((h2(op1(e12, e12)) = h1(e12)) | (h2(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h2(e12)) = h2(e12))),
% 2.14/2.35 inference(unit_resolution,[status(thm)],[3362, 3337])).
% 2.14/2.35 tff(3364,plain,
% 2.14/2.35 (h2(op1(e12, e12)) = h4(e12)),
% 2.14/2.35 inference(unit_resolution,[status(thm)],[3363, 3191, 3187])).
% 2.14/2.35 tff(3365,plain,
% 2.14/2.35 (op2(h2(e12), h2(e12)) = h4(e12)),
% 2.14/2.35 inference(transitivity,[status(thm)],[3325, 3364])).
% 2.14/2.35 tff(3366,plain,
% 2.14/2.35 ((op2(h1(e12), h2(e12)) = op2(h2(e12), h2(e12))) <=> (op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3365])).
% 2.14/2.35 tff(3367,plain,
% 2.14/2.35 ((~(op2(h1(e12), h2(e12)) = op2(h2(e12), h2(e12)))) <=> (~(op2(h1(e12), h2(e12)) = h4(e12)))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3366])).
% 2.14/2.35 tff(3368,plain,
% 2.14/2.35 (~(op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[1141, 3367])).
% 2.14/2.35 tff(3369,plain,
% 2.14/2.35 (((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3370,plain,
% 2.14/2.35 (((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | $false | (op2(h1(e12), h4(e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3371,plain,
% 2.14/2.35 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = h4(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3372,plain,
% 2.14/2.35 ((~(op2(e20, e22) = op2(e22, e22))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3373,plain,
% 2.14/2.35 ((~(op2(e20, e22) = op2(e22, e22))) <=> (~(op2(e20, e22) = op2(e22, e22)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3374,plain,
% 2.14/2.35 (~(op2(e20, e22) = op2(e22, e22))),
% 2.14/2.35 inference(and_elim,[status(thm)],[162])).
% 2.14/2.35 tff(3375,plain,
% 2.14/2.35 (~(op2(e20, e22) = op2(e22, e22))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3374, 3373])).
% 2.14/2.35 tff(3376,plain,
% 2.14/2.35 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3375, 3372])).
% 2.14/2.35 tff(3377,plain,
% 2.14/2.35 (~(op2(h1(e12), h3(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3376, 3371])).
% 2.14/2.35 tff(3378,plain,
% 2.14/2.35 ((op2(h1(e12), h3(e12)) = h4(e12)) <=> $false),
% 2.14/2.35 inference(iff_false,[status(thm)],[3377])).
% 2.14/2.35 tff(3379,plain,
% 2.14/2.35 (((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | $false | (op2(h1(e12), h4(e12)) = h4(e12)))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3378])).
% 2.14/2.35 tff(3380,plain,
% 2.14/2.35 (((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)))),
% 2.14/2.35 inference(transitivity,[status(thm)],[3379, 3370])).
% 2.14/2.35 tff(3381,plain,
% 2.14/2.35 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3382,plain,
% 2.14/2.35 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3383,plain,
% 2.14/2.35 ((op2(e20, e22) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3384,plain,
% 2.14/2.35 (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[1487, 564, 3383, 2614])).
% 2.14/2.35 tff(3385,plain,
% 2.14/2.35 (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12))))),
% 2.14/2.35 inference(transitivity,[status(thm)],[3384, 3382])).
% 2.14/2.35 tff(3386,plain,
% 2.14/2.35 (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3387,plain,
% 2.14/2.35 ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3388,plain,
% 2.14/2.35 ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3389,plain,
% 2.14/2.35 (((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)) <=> (((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3388])).
% 2.14/2.35 tff(3390,plain,
% 2.14/2.35 (((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23))),
% 2.14/2.35 inference(transitivity,[status(thm)],[3389, 3387])).
% 2.14/2.35 tff(3391,plain,
% 2.14/2.35 ((((op2(e20, e20) = e23) | (op2(e20, e21) = e23)) | (op2(e20, e22) = e23)) | (op2(e20, e23) = e23)),
% 2.14/2.35 inference(and_elim,[status(thm)],[707])).
% 2.14/2.35 tff(3392,plain,
% 2.14/2.35 ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 2.14/2.35 tff(3393,plain,
% 2.14/2.35 ((op2(e20, e20) = e23) | (op2(e20, e21) = e23) | (op2(e20, e22) = e23) | (op2(e20, e23) = e23)),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3392, 3386])).
% 2.14/2.35 tff(3394,plain,
% 2.14/2.35 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3393, 3385])).
% 2.14/2.35 tff(3395,plain,
% 2.14/2.35 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3394, 3382])).
% 2.14/2.35 tff(3396,plain,
% 2.14/2.35 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = op2(h3(e12), h3(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3395, 3382])).
% 2.14/2.35 tff(3397,plain,
% 2.14/2.35 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3396, 3381])).
% 2.14/2.35 tff(3398,plain,
% 2.14/2.35 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3397, 3380])).
% 2.14/2.35 tff(3399,plain,
% 2.14/2.35 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3398, 3369])).
% 2.14/2.35 tff(3400,plain,
% 2.14/2.35 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3399, 3369])).
% 2.14/2.35 tff(3401,plain,
% 2.14/2.35 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3400, 3369])).
% 2.14/2.35 tff(3402,plain,
% 2.14/2.35 ((h1(op1(e12, e12)) = h4(e12)) | (op2(h1(e12), h4(e12)) = h4(e12)) | (op2(h1(e12), h2(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3401, 3369])).
% 2.14/2.35 tff(3403,plain,
% 2.14/2.35 (op2(h1(e12), h4(e12)) = h4(e12)),
% 2.14/2.35 inference(unit_resolution,[status(thm)],[3402, 3368, 3324])).
% 2.14/2.35 tff(3404,plain,
% 2.14/2.35 ((op2(h1(e12), h4(e12)) = h3(e12)) <=> (h4(e12) = h3(e12))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3403])).
% 2.14/2.35 tff(3405,plain,
% 2.14/2.35 ((h4(e12) = h3(e12)) <=> (op2(h1(e12), h4(e12)) = h3(e12))),
% 2.14/2.35 inference(symmetry,[status(thm)],[3404])).
% 2.14/2.35 tff(3406,plain,
% 2.14/2.35 ((~(h4(e12) = h3(e12))) <=> (~(op2(h1(e12), h4(e12)) = h3(e12)))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3405])).
% 2.14/2.35 tff(3407,plain,
% 2.14/2.35 (~(op2(h1(e12), h4(e12)) = h3(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[1321, 3406])).
% 2.14/2.35 tff(3408,plain,
% 2.14/2.35 (op2(h2(e12), h2(op1(e12, e12))) = op2(h2(e12), h4(e12))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3364])).
% 2.14/2.35 tff(3409,plain,
% 2.14/2.35 (op2(h2(e12), h4(e12)) = op2(h2(e12), h2(op1(e12, e12)))),
% 2.14/2.35 inference(symmetry,[status(thm)],[3408])).
% 2.14/2.35 tff(3410,plain,
% 2.14/2.35 ((op2(h2(e12), h4(e12)) = h3(e12)) <=> (op2(h2(e12), h2(op1(e12, e12))) = h3(e12))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3409])).
% 2.14/2.35 tff(3411,plain,
% 2.14/2.35 ((op2(h2(e12), h2(op1(e12, e12))) = h3(e12)) <=> (op2(h2(e12), h4(e12)) = h3(e12))),
% 2.14/2.35 inference(symmetry,[status(thm)],[3410])).
% 2.14/2.35 tff(3412,plain,
% 2.14/2.35 ((h3(e12) = op2(h2(e12), h2(op1(e12, e12)))) <=> (op2(h2(e12), h2(op1(e12, e12))) = h3(e12))),
% 2.14/2.35 inference(commutativity,[status(thm)],[])).
% 2.14/2.35 tff(3413,plain,
% 2.14/2.35 ((op2(h2(e12), h1(e12)) = op2(h2(e12), h2(e12))) <=> (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3365])).
% 2.14/2.35 tff(3414,plain,
% 2.14/2.35 ((~(op2(h2(e12), h1(e12)) = op2(h2(e12), h2(e12)))) <=> (~(op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3413])).
% 2.14/2.35 tff(3415,plain,
% 2.14/2.35 ((~(op2(h2(e12), h1(e12)) = h2(op1(e12, e12)))) <=> (~(op2(h2(e12), h1(e12)) = op2(h2(e12), h2(e12))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3416,plain,
% 2.14/2.35 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))) <=> (~(op2(h2(e12), h1(e12)) = h2(op1(e12, e12))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3417,plain,
% 2.14/2.35 ((~(op2(e21, e20) = op2(e21, e21))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3418,plain,
% 2.14/2.35 ((~(op2(e21, e20) = op2(e21, e21))) <=> (~(op2(e21, e20) = op2(e21, e21)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3419,plain,
% 2.14/2.35 (~(op2(e21, e20) = op2(e21, e21))),
% 2.14/2.35 inference(and_elim,[status(thm)],[75])).
% 2.14/2.35 tff(3420,plain,
% 2.14/2.35 (~(op2(e21, e20) = op2(e21, e21))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 2.14/2.35 tff(3421,plain,
% 2.14/2.35 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3420, 3417])).
% 2.14/2.35 tff(3422,plain,
% 2.14/2.35 (~(op2(h2(e12), h1(e12)) = h2(op1(e12, e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3421, 3416])).
% 2.14/2.35 tff(3423,plain,
% 2.14/2.35 (~(op2(h2(e12), h1(e12)) = op2(h2(e12), h2(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3422, 3415])).
% 2.14/2.35 tff(3424,plain,
% 2.14/2.35 (~(op2(h2(e12), h1(e12)) = h4(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3423, 3414])).
% 2.14/2.35 tff(3425,plain,
% 2.14/2.35 ((h1(e12) = op2(h2(e12), h1(e12))) <=> (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.35 inference(commutativity,[status(thm)],[])).
% 2.14/2.35 tff(3426,plain,
% 2.14/2.35 ((op2(h1(e12), h1(e12)) = op2(h2(e12), h1(e12))) <=> (h1(e12) = op2(h2(e12), h1(e12)))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3193])).
% 2.14/2.35 tff(3427,plain,
% 2.14/2.35 ((op2(h1(e12), h1(e12)) = op2(h2(e12), h1(e12))) <=> (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.35 inference(transitivity,[status(thm)],[3426, 3425])).
% 2.14/2.35 tff(3428,plain,
% 2.14/2.35 ((~(op2(h1(e12), h1(e12)) = op2(h2(e12), h1(e12)))) <=> (~(op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.14/2.35 inference(monotonicity,[status(thm)],[3427])).
% 2.14/2.35 tff(3429,plain,
% 2.14/2.35 ((~(h1(op1(e12, e12)) = op2(h2(e12), h1(e12)))) <=> (~(op2(h1(e12), h1(e12)) = op2(h2(e12), h1(e12))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3430,plain,
% 2.14/2.35 ((~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))))) <=> (~(h1(op1(e12, e12)) = op2(h2(e12), h1(e12))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3431,plain,
% 2.14/2.35 ((~(op2(e20, e20) = op2(e21, e20))) <=> (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12))))))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3432,plain,
% 2.14/2.35 ((~(op2(e20, e20) = op2(e21, e20))) <=> (~(op2(e20, e20) = op2(e21, e20)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3433,plain,
% 2.14/2.35 (~(op2(e20, e20) = op2(e21, e20))),
% 2.14/2.35 inference(and_elim,[status(thm)],[187])).
% 2.14/2.35 tff(3434,plain,
% 2.14/2.35 (~(op2(e20, e20) = op2(e21, e20))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 2.14/2.35 tff(3435,plain,
% 2.14/2.35 (~(op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3434, 3431])).
% 2.14/2.35 tff(3436,plain,
% 2.14/2.35 (~(h1(op1(e12, e12)) = op2(h2(e12), h1(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3435, 3430])).
% 2.14/2.35 tff(3437,plain,
% 2.14/2.35 (~(op2(h1(e12), h1(e12)) = op2(h2(e12), h1(e12)))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3436, 3429])).
% 2.14/2.35 tff(3438,plain,
% 2.14/2.35 (~(op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.35 inference(modus_ponens,[status(thm)],[3437, 3428])).
% 2.14/2.35 tff(3439,plain,
% 2.14/2.35 (((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.35 tff(3440,plain,
% 2.14/2.35 (((op2(h2(e12), h1(e12)) = h1(e12)) | $false | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.14/2.35 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3441,plain,
% 2.14/2.36 (((op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h2(e12), h1(e12)) = h1(e12)) | $false | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[623])).
% 2.14/2.36 tff(3442,plain,
% 2.14/2.36 (((op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3441, 3440])).
% 2.14/2.36 tff(3443,plain,
% 2.14/2.36 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3444,plain,
% 2.14/2.36 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3445,plain,
% 2.14/2.36 ((op2(e21, e20) = e23) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3446,plain,
% 2.14/2.36 ((op2(e21, e20) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3447,plain,
% 2.14/2.36 (((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[2395, 638, 3446, 3445])).
% 2.14/2.36 tff(3448,plain,
% 2.14/2.36 (((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3447, 3444])).
% 2.14/2.36 tff(3449,plain,
% 2.14/2.36 (((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23)) <=> ((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3450,plain,
% 2.14/2.36 ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23)) <=> ((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3451,plain,
% 2.14/2.36 ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) <=> ((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3452,plain,
% 2.14/2.36 (((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23)) <=> (((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[3451])).
% 2.14/2.36 tff(3453,plain,
% 2.14/2.36 (((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23)) <=> ((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3452, 3450])).
% 2.14/2.36 tff(3454,plain,
% 2.14/2.36 ((((op2(e21, e20) = e20) | (op2(e21, e20) = e21)) | (op2(e21, e20) = e22)) | (op2(e21, e20) = e23)),
% 2.14/2.36 inference(and_elim,[status(thm)],[1222])).
% 2.14/2.36 tff(3455,plain,
% 2.14/2.36 ((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23)),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3454, 3453])).
% 2.14/2.36 tff(3456,plain,
% 2.14/2.36 ((op2(e21, e20) = e20) | (op2(e21, e20) = e21) | (op2(e21, e20) = e22) | (op2(e21, e20) = e23)),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3455, 3449])).
% 2.14/2.36 tff(3457,plain,
% 2.14/2.36 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3456, 3448])).
% 2.14/2.36 tff(3458,plain,
% 2.14/2.36 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3457, 3444])).
% 2.14/2.36 tff(3459,plain,
% 2.14/2.36 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3458, 3444])).
% 2.14/2.36 tff(3460,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h2(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3459, 3443])).
% 2.14/2.36 tff(3461,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3460, 3442])).
% 2.14/2.36 tff(3462,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3461, 3439])).
% 2.14/2.36 tff(3463,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3462, 3439])).
% 2.14/2.36 tff(3464,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3463, 3439])).
% 2.14/2.36 tff(3465,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h3(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3464, 3439])).
% 2.14/2.36 tff(3466,plain,
% 2.14/2.36 (op2(h2(e12), h1(e12)) = h3(e12)),
% 2.14/2.36 inference(unit_resolution,[status(thm)],[3465, 3438, 3424])).
% 2.14/2.36 tff(3467,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = op2(h2(e12), h4(e12))) <=> (h3(e12) = op2(h2(e12), h2(op1(e12, e12))))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[3466, 3409])).
% 2.14/2.36 tff(3468,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = op2(h2(e12), h4(e12))) <=> (op2(h2(e12), h2(op1(e12, e12))) = h3(e12))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3467, 3412])).
% 2.14/2.36 tff(3469,plain,
% 2.14/2.36 ((op2(h2(e12), h1(e12)) = op2(h2(e12), h4(e12))) <=> (op2(h2(e12), h4(e12)) = h3(e12))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3468, 3411])).
% 2.14/2.36 tff(3470,plain,
% 2.14/2.36 ((~(op2(h2(e12), h1(e12)) = op2(h2(e12), h4(e12)))) <=> (~(op2(h2(e12), h4(e12)) = h3(e12)))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[3469])).
% 2.14/2.36 tff(3471,plain,
% 2.14/2.36 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))))) <=> (~(op2(h2(e12), h1(e12)) = op2(h2(e12), h4(e12))))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3472,plain,
% 2.14/2.36 ((~(op2(e21, e20) = op2(e21, e23))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12)))))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3473,plain,
% 2.14/2.36 ((~(op2(e21, e20) = op2(e21, e23))) <=> (~(op2(e21, e20) = op2(e21, e23)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3474,plain,
% 2.14/2.36 (~(op2(e21, e20) = op2(e21, e23))),
% 2.14/2.36 inference(and_elim,[status(thm)],[73])).
% 2.14/2.36 tff(3475,plain,
% 2.14/2.36 (~(op2(e21, e20) = op2(e21, e23))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 2.14/2.36 tff(3476,plain,
% 2.14/2.36 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3475, 3472])).
% 2.14/2.36 tff(3477,plain,
% 2.14/2.36 (~(op2(h2(e12), h1(e12)) = op2(h2(e12), h4(e12)))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3476, 3471])).
% 2.14/2.36 tff(3478,plain,
% 2.14/2.36 (~(op2(h2(e12), h4(e12)) = h3(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[3477, 3470])).
% 2.14/2.36 tff(3479,plain,
% 2.14/2.36 (($false | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12))) <=> ((h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3480,plain,
% 2.14/2.36 ((~(op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12))) <=> (~(h1(e12) = h3(e12)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3481,plain,
% 2.14/2.36 (~(h1(e12) = h3(e12))),
% 2.14/2.36 inference(modus_ponens,[status(thm)],[219, 3480])).
% 2.14/2.36 tff(3482,plain,
% 2.14/2.36 ((h1(e12) = h3(e12)) <=> $false),
% 2.14/2.36 inference(iff_false,[status(thm)],[3481])).
% 2.14/2.36 tff(3483,plain,
% 2.14/2.36 (((h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12))) <=> ($false | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[3482])).
% 2.14/2.36 tff(3484,plain,
% 2.14/2.36 (((h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12))) <=> ((h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3483, 3479])).
% 2.14/2.36 tff(3485,plain,
% 2.14/2.36 (((op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)) | (h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12))) <=> ((h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3486,plain,
% 2.14/2.36 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)) <=> (h4(op1(e12, e12)) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3487,plain,
% 2.14/2.36 ((op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) <=> (h1(e12) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3488,plain,
% 2.14/2.36 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) <=> (op2(h2(e12), h4(e12)) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3489,plain,
% 2.14/2.36 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) <=> (op2(h1(e12), h4(e12)) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3490,plain,
% 2.14/2.36 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) <=> ((op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)) | (h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[3489, 3488, 3487, 3486])).
% 2.14/2.36 tff(3491,plain,
% 2.14/2.36 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) <=> ((h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12)))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3490, 3485])).
% 2.14/2.36 tff(3492,plain,
% 2.14/2.36 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3493,plain,
% 2.14/2.36 ((op2(e21, e23) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3494,plain,
% 2.14/2.36 ((op2(e20, e23) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12))),
% 2.14/2.36 inference(rewrite,[status(thm)],[])).
% 2.14/2.36 tff(3495,plain,
% 2.14/2.36 (((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))),
% 2.14/2.36 inference(monotonicity,[status(thm)],[3494, 3493, 279, 1449])).
% 2.14/2.36 tff(3496,plain,
% 2.14/2.36 (((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12)))),
% 2.14/2.36 inference(transitivity,[status(thm)],[3495, 3492])).
% 2.14/2.37 tff(3497,plain,
% 2.14/2.37 (((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22)) <=> ((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22))),
% 2.14/2.37 inference(rewrite,[status(thm)],[])).
% 2.14/2.37 tff(3498,plain,
% 2.14/2.37 ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22)) <=> ((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22))),
% 2.14/2.37 inference(rewrite,[status(thm)],[])).
% 2.14/2.37 tff(3499,plain,
% 2.14/2.37 ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) <=> ((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22))),
% 2.14/2.37 inference(rewrite,[status(thm)],[])).
% 2.14/2.37 tff(3500,plain,
% 2.14/2.37 (((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22)) <=> (((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[3499])).
% 2.14/2.37 tff(3501,plain,
% 2.14/2.37 (((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22)) <=> ((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22))),
% 2.14/2.37 inference(transitivity,[status(thm)],[3500, 3498])).
% 2.14/2.37 tff(3502,plain,
% 2.14/2.37 ((((op2(e20, e23) = e22) | (op2(e21, e23) = e22)) | (op2(e22, e23) = e22)) | (op2(e23, e23) = e22)),
% 2.14/2.37 inference(and_elim,[status(thm)],[574])).
% 2.14/2.37 tff(3503,plain,
% 2.14/2.37 ((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22)),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 2.14/2.37 tff(3504,plain,
% 2.14/2.37 ((op2(e20, e23) = e22) | (op2(e21, e23) = e22) | (op2(e22, e23) = e22) | (op2(e23, e23) = e22)),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3503, 3497])).
% 2.14/2.37 tff(3505,plain,
% 2.14/2.37 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3504, 3496])).
% 2.14/2.37 tff(3506,plain,
% 2.14/2.37 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3505, 3492])).
% 2.14/2.37 tff(3507,plain,
% 2.14/2.37 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(h3(e12), op2(h3(e12), h3(e12))) = h3(e12)) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), h3(e12))) = h3(e12))),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3506, 3492])).
% 2.14/2.37 tff(3508,plain,
% 2.14/2.37 ((h1(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12))),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3507, 3491])).
% 2.14/2.37 tff(3509,plain,
% 2.14/2.37 ((h4(op1(e12, e12)) = h3(e12)) | (op2(h1(e12), h4(e12)) = h3(e12)) | (op2(h2(e12), h4(e12)) = h3(e12))),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[3508, 3484])).
% 2.14/2.37 tff(3510,plain,
% 2.14/2.37 (h4(op1(e12, e12)) = h3(e12)),
% 2.14/2.37 inference(unit_resolution,[status(thm)],[3509, 3478, 3407])).
% 2.14/2.37 tff(3511,plain,
% 2.14/2.37 (op2(h4(e12), h4(op1(e12, e12))) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[1586, 3510])).
% 2.14/2.37 tff(3512,plain,
% 2.14/2.37 (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)),
% 2.14/2.37 inference(transitivity,[status(thm)],[3511, 3318])).
% 2.14/2.37 tff(3513,plain,
% 2.14/2.37 (op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)) = op2(h2(e12), h4(e12))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[3512])).
% 2.14/2.37 tff(3514,plain,
% 2.14/2.37 (op2(h2(e12), h4(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))),
% 2.14/2.37 inference(symmetry,[status(thm)],[3513])).
% 2.14/2.37 tff(3515,plain,
% 2.14/2.37 (h2(e12) = op2(h2(e12), h4(e12))),
% 2.14/2.37 inference(symmetry,[status(thm)],[3270])).
% 2.14/2.37 tff(3516,plain,
% 2.14/2.37 (op2(h1(e12), h2(e12)) = h2(e12)),
% 2.14/2.37 inference(unit_resolution,[status(thm)],[1233, 3368, 3197])).
% 2.14/2.37 tff(3517,plain,
% 2.14/2.37 (h2(e12) = op2(h1(e12), h2(e12))),
% 2.14/2.37 inference(symmetry,[status(thm)],[3516])).
% 2.14/2.37 tff(3518,plain,
% 2.14/2.37 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[1022])).
% 2.14/2.37 tff(3519,plain,
% 2.14/2.37 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[3518])).
% 2.14/2.37 tff(3520,plain,
% 2.14/2.37 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[2008, 3519])).
% 2.14/2.37 tff(3521,plain,
% 2.14/2.37 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.14/2.37 inference(unit_resolution,[status(thm)],[2447, 3520, 1101])).
% 2.14/2.37 tff(3522,plain,
% 2.14/2.37 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = h3(op1(e12, op1(e12, op1(e12, e12))))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[3521])).
% 2.14/2.37 tff(3523,plain,
% 2.14/2.37 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12))),
% 2.14/2.37 inference(transitivity,[status(thm)],[3522, 2840, 3517])).
% 2.14/2.37 tff(3524,plain,
% 2.14/2.37 (h3(e12) = op2(h2(e12), h1(e12))),
% 2.14/2.37 inference(symmetry,[status(thm)],[3466])).
% 2.14/2.37 tff(3525,plain,
% 2.14/2.37 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) <=> (op1(e12, op1(e12, e12)) = e12)),
% 2.14/2.37 inference(monotonicity,[status(thm)],[924])).
% 2.14/2.37 tff(3526,plain,
% 2.14/2.37 ((op1(e12, op1(e12, e12)) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 2.14/2.37 inference(symmetry,[status(thm)],[3525])).
% 2.14/2.37 tff(3527,plain,
% 2.14/2.37 ((~(op1(e12, op1(e12, e12)) = e12)) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12))),
% 2.14/2.37 inference(monotonicity,[status(thm)],[3526])).
% 2.14/2.37 tff(3528,plain,
% 2.14/2.37 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 2.14/2.37 inference(modus_ponens,[status(thm)],[858, 3527])).
% 2.14/2.37 tff(3529,plain,
% 2.14/2.37 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 2.14/2.37 inference(unit_resolution,[status(thm)],[2201, 2168])).
% 2.14/2.37 tff(3530,plain,
% 2.14/2.37 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12),
% 2.14/2.37 inference(unit_resolution,[status(thm)],[3529, 3528])).
% 2.14/2.37 tff(3531,plain,
% 2.14/2.37 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = h3(e12)),
% 2.14/2.37 inference(monotonicity,[status(thm)],[3530])).
% 2.14/2.37 tff(3532,plain,
% 2.14/2.37 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12))),
% 2.14/2.37 inference(transitivity,[status(thm)],[3531, 3524])).
% 2.14/2.37 tff(3533,plain,
% 2.14/2.37 (h2(e12) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 2.22/2.37 inference(symmetry,[status(thm)],[3318])).
% 2.22/2.37 tff(3534,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[1091])).
% 2.22/2.37 tff(3535,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3534, 2010])).
% 2.22/2.37 tff(3536,plain,
% 2.22/2.37 ((op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(symmetry,[status(thm)],[3535])).
% 2.22/2.37 tff(3537,plain,
% 2.22/2.37 ((~(op1(e12, op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3536])).
% 2.22/2.37 tff(3538,plain,
% 2.22/2.37 (~(op1(op1(e12, op1(e12, op1(e12, e12))), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[2019, 3537])).
% 2.22/2.37 tff(3539,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12)) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, e12)), e12))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3521])).
% 2.22/2.37 tff(3540,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12)) <=> (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3539, 2522])).
% 2.22/2.37 tff(3541,plain,
% 2.22/2.37 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, e12)), e12))) <=> (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3540])).
% 2.22/2.37 tff(3542,plain,
% 2.22/2.37 (~(op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[2530, 3541])).
% 2.22/2.37 tff(3543,plain,
% 2.22/2.37 (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.22/2.37 inference(unit_resolution,[status(thm)],[2559, 3542, 3538])).
% 2.22/2.37 tff(3544,plain,
% 2.22/2.37 (h3(op1(op1(e12, e12), e12)) = h3(op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3543])).
% 2.22/2.37 tff(3545,plain,
% 2.22/2.37 (h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3544, 2840, 3533])).
% 2.22/2.37 tff(3546,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(e12, e12) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[1022])).
% 2.22/2.37 tff(3547,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3546, 2329])).
% 2.22/2.37 tff(3548,plain,
% 2.22/2.37 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3547])).
% 2.22/2.37 tff(3549,plain,
% 2.22/2.37 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[1612, 3548])).
% 2.22/2.37 tff(3550,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (e12 = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3530])).
% 2.22/2.37 tff(3551,plain,
% 2.22/2.37 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.22/2.37 inference(transitivity,[status(thm)],[3550, 2164])).
% 2.22/2.37 tff(3552,plain,
% 2.22/2.37 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3551])).
% 2.22/2.37 tff(3553,plain,
% 2.22/2.37 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[2210, 3552])).
% 2.22/2.37 tff(3554,plain,
% 2.22/2.37 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.22/2.37 inference(unit_resolution,[status(thm)],[2360, 3553, 3549])).
% 2.22/2.37 tff(3555,plain,
% 2.22/2.37 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = h3(op1(e12, op1(e12, op1(e12, e12))))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3554])).
% 2.22/2.37 tff(3556,plain,
% 2.22/2.37 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3555, 2840, 3515])).
% 2.22/2.37 tff(3557,plain,
% 2.22/2.37 (h1(e12) = op2(h4(e12), h2(e12))),
% 2.22/2.37 inference(symmetry,[status(thm)],[3198])).
% 2.22/2.37 tff(3558,plain,
% 2.22/2.37 (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = h3(op1(e12, op1(e12, e12)))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[1129])).
% 2.22/2.37 tff(3559,plain,
% 2.22/2.37 (h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3558, 736, 3557])).
% 2.22/2.37 tff(3560,plain,
% 2.22/2.37 (h1(e12) = op2(h1(e12), h1(e12))),
% 2.22/2.37 inference(symmetry,[status(thm)],[3193])).
% 2.22/2.37 tff(3561,plain,
% 2.22/2.37 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = h3(op1(e12, op1(e12, e12)))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[924])).
% 2.22/2.37 tff(3562,plain,
% 2.22/2.37 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3561, 736, 3560])).
% 2.22/2.37 tff(3563,plain,
% 2.22/2.37 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3564,plain,
% 2.22/2.37 (((h2(op1(e12, e12)) = h1(e12)) | $false | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3565,plain,
% 2.22/2.37 ((~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> (~(op2(h2(e12), h4(e12)) = h1(e12)))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3566,plain,
% 2.22/2.37 ((~(op2(e21, e23) = op2(e22, e23))) <=> (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3567,plain,
% 2.22/2.37 ((~(op2(e21, e23) = op2(e22, e23))) <=> (~(op2(e21, e23) = op2(e22, e23)))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3568,plain,
% 2.22/2.37 (~(op2(e21, e23) = op2(e22, e23))),
% 2.22/2.37 inference(and_elim,[status(thm)],[84])).
% 2.22/2.37 tff(3569,plain,
% 2.22/2.37 (~(op2(e21, e23) = op2(e22, e23))),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[3568, 3567])).
% 2.22/2.37 tff(3570,plain,
% 2.22/2.37 (~(op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[3569, 3566])).
% 2.22/2.37 tff(3571,plain,
% 2.22/2.37 (~(op2(h2(e12), h4(e12)) = h1(e12))),
% 2.22/2.37 inference(modus_ponens,[status(thm)],[3570, 3565])).
% 2.22/2.37 tff(3572,plain,
% 2.22/2.37 ((op2(h2(e12), h4(e12)) = h1(e12)) <=> $false),
% 2.22/2.37 inference(iff_false,[status(thm)],[3571])).
% 2.22/2.37 tff(3573,plain,
% 2.22/2.37 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | $false | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.22/2.37 inference(monotonicity,[status(thm)],[3572])).
% 2.22/2.37 tff(3574,plain,
% 2.22/2.37 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.22/2.37 inference(transitivity,[status(thm)],[3573, 3564])).
% 2.22/2.37 tff(3575,plain,
% 2.22/2.37 (((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3576,plain,
% 2.22/2.37 (((op2(h2(e12), h1(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3577,plain,
% 2.22/2.37 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))) <=> (op2(h2(e12), h4(e12)) = h1(e12))),
% 2.22/2.37 inference(rewrite,[status(thm)],[])).
% 2.22/2.37 tff(3578,plain,
% 2.22/2.37 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(h2(e12), h1(e12)) = h1(e12)) | (h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[2388, 1274, 3241, 3577])).
% 2.23/2.38 tff(3579,plain,
% 2.23/2.38 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12)))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3578, 3576])).
% 2.23/2.38 tff(3580,plain,
% 2.23/2.38 (((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3581,plain,
% 2.23/2.38 ((op2(e21, e23) = e20) <=> (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3582,plain,
% 2.23/2.38 (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[2395, 1280, 2481, 3581])).
% 2.23/2.38 tff(3583,plain,
% 2.23/2.38 (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)) <=> ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12)))))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3582, 3580])).
% 2.23/2.38 tff(3584,plain,
% 2.23/2.38 (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3585,plain,
% 2.23/2.38 ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3586,plain,
% 2.23/2.38 ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3587,plain,
% 2.23/2.38 (((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)) <=> (((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3586])).
% 2.23/2.38 tff(3588,plain,
% 2.23/2.38 (((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)) <=> ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3587, 3585])).
% 2.23/2.38 tff(3589,plain,
% 2.23/2.38 ((((op2(e21, e20) = e20) | (op2(e21, e21) = e20)) | (op2(e21, e22) = e20)) | (op2(e21, e23) = e20)),
% 2.23/2.38 inference(and_elim,[status(thm)],[705])).
% 2.23/2.38 tff(3590,plain,
% 2.23/2.38 ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 2.23/2.38 tff(3591,plain,
% 2.23/2.38 ((op2(e21, e20) = e20) | (op2(e21, e21) = e20) | (op2(e21, e22) = e20) | (op2(e21, e23) = e20)),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3590, 3584])).
% 2.23/2.38 tff(3592,plain,
% 2.23/2.38 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3591, 3583])).
% 2.23/2.38 tff(3593,plain,
% 2.23/2.38 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3592, 3580])).
% 2.23/2.38 tff(3594,plain,
% 2.23/2.38 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), h3(e12))) = op2(h3(e12), op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3593, 3580])).
% 2.23/2.38 tff(3595,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3594, 3579])).
% 2.23/2.38 tff(3596,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h4(e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3595, 3575])).
% 2.23/2.38 tff(3597,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3596, 3574])).
% 2.23/2.38 tff(3598,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3597, 3563])).
% 2.23/2.38 tff(3599,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3598, 3563])).
% 2.23/2.38 tff(3600,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3599, 3563])).
% 2.23/2.38 tff(3601,plain,
% 2.23/2.38 ((h2(op1(e12, e12)) = h1(e12)) | (op2(h2(e12), h3(e12)) = h1(e12)) | (op2(h2(e12), h1(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3600, 3563])).
% 2.23/2.38 tff(3602,plain,
% 2.23/2.38 (op2(h2(e12), h3(e12)) = h1(e12)),
% 2.23/2.38 inference(unit_resolution,[status(thm)],[3601, 3438, 3191])).
% 2.23/2.38 tff(3603,plain,
% 2.23/2.38 (h1(e12) = op2(h2(e12), h3(e12))),
% 2.23/2.38 inference(symmetry,[status(thm)],[3602])).
% 2.23/2.38 tff(3604,plain,
% 2.23/2.38 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = h3(op1(e12, op1(e12, e12)))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[1091])).
% 2.23/2.38 tff(3605,plain,
% 2.23/2.38 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3604, 736, 3603])).
% 2.23/2.38 tff(3606,plain,
% 2.23/2.38 (h4(e12) = op2(h1(e12), h4(e12))),
% 2.23/2.38 inference(symmetry,[status(thm)],[3403])).
% 2.23/2.38 tff(3607,plain,
% 2.23/2.38 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12))),
% 2.23/2.38 inference(unit_resolution,[status(thm)],[2158, 2120])).
% 2.23/2.38 tff(3608,plain,
% 2.23/2.38 (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, e12)),
% 2.23/2.38 inference(unit_resolution,[status(thm)],[3607, 3520])).
% 2.23/2.38 tff(3609,plain,
% 2.23/2.38 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = h3(op1(e12, e12))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3608])).
% 2.23/2.38 tff(3610,plain,
% 2.23/2.38 (h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3609, 2769, 3606])).
% 2.23/2.38 tff(3611,plain,
% 2.23/2.38 (h4(e12) = h2(op1(e12, e12))),
% 2.23/2.38 inference(symmetry,[status(thm)],[3364])).
% 2.23/2.38 tff(3612,plain,
% 2.23/2.38 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = h3(op1(e12, e12))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[1022])).
% 2.23/2.38 tff(3613,plain,
% 2.23/2.38 (h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3612, 2769, 3611, 514])).
% 2.23/2.38 tff(3614,plain,
% 2.23/2.38 (h3(e12) = h4(op1(e12, e12))),
% 2.23/2.38 inference(symmetry,[status(thm)],[3510])).
% 2.23/2.38 tff(3615,plain,
% 2.23/2.38 ((op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12) <=> (op1(e12, e12) = e12)),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3608])).
% 2.23/2.38 tff(3616,plain,
% 2.23/2.38 ((op1(e12, e12) = e12) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 2.23/2.38 inference(symmetry,[status(thm)],[3615])).
% 2.23/2.38 tff(3617,plain,
% 2.23/2.38 ((~(op1(e12, e12) = e12)) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3616])).
% 2.23/2.38 tff(3618,plain,
% 2.23/2.38 (~(op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = e12)),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[748, 3617])).
% 2.23/2.38 tff(3619,plain,
% 2.23/2.38 (op1(op1(e12, e12), op1(e12, e12)) = e12),
% 2.23/2.38 inference(unit_resolution,[status(thm)],[2238, 3553, 3618])).
% 2.23/2.38 tff(3620,plain,
% 2.23/2.38 (h3(op1(op1(e12, e12), op1(e12, e12))) = h3(e12)),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3619])).
% 2.23/2.38 tff(3621,plain,
% 2.23/2.38 (h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3620, 3614, 1430])).
% 2.23/2.38 tff(3622,plain,
% 2.23/2.38 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))) <=> (h1(e12) = op2(h1(e12), h3(e12)))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3193])).
% 2.23/2.38 tff(3623,plain,
% 2.23/2.38 ((op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h1(e12))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3622, 56])).
% 2.23/2.38 tff(3624,plain,
% 2.23/2.38 ((~(op2(h1(e12), h1(e12)) = op2(h1(e12), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = h1(e12)))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3623])).
% 2.23/2.38 tff(3625,plain,
% 2.23/2.38 (~(op2(h1(e12), h3(e12)) = h1(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[500, 3624])).
% 2.23/2.38 tff(3626,plain,
% 2.23/2.38 ((h2(e12) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.38 inference(commutativity,[status(thm)],[])).
% 2.23/2.38 tff(3627,plain,
% 2.23/2.38 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12))) <=> (h2(e12) = op2(h1(e12), h3(e12)))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3516])).
% 2.23/2.38 tff(3628,plain,
% 2.23/2.38 ((op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12))) <=> (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3627, 3626])).
% 2.23/2.38 tff(3629,plain,
% 2.23/2.38 ((~(op2(h1(e12), h2(e12)) = op2(h1(e12), h3(e12)))) <=> (~(op2(h1(e12), h3(e12)) = h2(e12)))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3628])).
% 2.23/2.38 tff(3630,plain,
% 2.23/2.38 (~(op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[616, 3629])).
% 2.23/2.38 tff(3631,plain,
% 2.23/2.38 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3632,plain,
% 2.23/2.38 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | $false) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3633,plain,
% 2.23/2.38 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h4(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | $false)),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3378])).
% 2.23/2.38 tff(3634,plain,
% 2.23/2.38 (((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h4(e12))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3633, 3632])).
% 2.23/2.38 tff(3635,plain,
% 2.23/2.38 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h4(e12)))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3636,plain,
% 2.23/2.38 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3637,plain,
% 2.23/2.38 ((op2(e20, e22) = e22) <=> (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3638,plain,
% 2.23/2.38 (((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[694, 1557, 3637, 3383])).
% 2.23/2.38 tff(3639,plain,
% 2.23/2.38 (((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12))))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3638, 3636])).
% 2.23/2.38 tff(3640,plain,
% 2.23/2.38 (((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23)) <=> ((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3641,plain,
% 2.23/2.38 ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23)) <=> ((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3642,plain,
% 2.23/2.38 ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) <=> ((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22))),
% 2.23/2.38 inference(rewrite,[status(thm)],[])).
% 2.23/2.38 tff(3643,plain,
% 2.23/2.38 (((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23)) <=> (((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23))),
% 2.23/2.38 inference(monotonicity,[status(thm)],[3642])).
% 2.23/2.38 tff(3644,plain,
% 2.23/2.38 (((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23)) <=> ((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23))),
% 2.23/2.38 inference(transitivity,[status(thm)],[3643, 3641])).
% 2.23/2.38 tff(3645,plain,
% 2.23/2.38 ((((op2(e20, e22) = e20) | (op2(e20, e22) = e21)) | (op2(e20, e22) = e22)) | (op2(e20, e22) = e23)),
% 2.23/2.38 inference(and_elim,[status(thm)],[1224])).
% 2.23/2.38 tff(3646,plain,
% 2.23/2.38 ((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23)),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3645, 3644])).
% 2.23/2.38 tff(3647,plain,
% 2.23/2.38 ((op2(e20, e22) = e20) | (op2(e20, e22) = e21) | (op2(e20, e22) = e22) | (op2(e20, e22) = e23)),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3646, 3640])).
% 2.23/2.38 tff(3648,plain,
% 2.23/2.38 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3647, 3639])).
% 2.23/2.38 tff(3649,plain,
% 2.23/2.38 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3648, 3636])).
% 2.23/2.38 tff(3650,plain,
% 2.23/2.38 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), h3(e12)))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12))))) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = h3(e12)) | (op2(op2(h3(e12), op2(h3(e12), h3(e12))), h3(e12)) = op2(h3(e12), h3(e12)))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3649, 3636])).
% 2.23/2.38 tff(3651,plain,
% 2.23/2.38 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h2(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h4(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3650, 3635])).
% 2.23/2.38 tff(3652,plain,
% 2.23/2.38 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.38 inference(modus_ponens,[status(thm)],[3651, 3634])).
% 2.23/2.39 tff(3653,plain,
% 2.23/2.39 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3652, 3631])).
% 2.23/2.39 tff(3654,plain,
% 2.23/2.39 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3653, 3631])).
% 2.23/2.39 tff(3655,plain,
% 2.23/2.39 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3654, 3631])).
% 2.23/2.39 tff(3656,plain,
% 2.23/2.39 ((op2(h1(e12), h3(e12)) = h1(e12)) | (op2(h1(e12), h3(e12)) = h3(e12)) | (op2(h1(e12), h3(e12)) = h2(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3655, 3631])).
% 2.23/2.39 tff(3657,plain,
% 2.23/2.39 (op2(h1(e12), h3(e12)) = h3(e12)),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[3656, 3630, 3625])).
% 2.23/2.39 tff(3658,plain,
% 2.23/2.39 (h3(e12) = op2(h1(e12), h3(e12))),
% 2.23/2.39 inference(symmetry,[status(thm)],[3657])).
% 2.23/2.39 tff(3659,plain,
% 2.23/2.39 (op1(op1(e12, op1(e12, e12)), e12) = e12),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[2000, 3618, 3528])).
% 2.23/2.39 tff(3660,plain,
% 2.23/2.39 (h3(op1(op1(e12, op1(e12, e12)), e12)) = h3(e12)),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3659])).
% 2.23/2.39 tff(3661,plain,
% 2.23/2.39 (h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))),
% 2.23/2.39 inference(transitivity,[status(thm)],[3660, 3658])).
% 2.23/2.39 tff(3662,plain,
% 2.23/2.39 (((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3663,plain,
% 2.23/2.39 (((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | $false | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3664,plain,
% 2.23/2.39 ((h2(e12) = h4(e12)) <=> $false),
% 2.23/2.39 inference(iff_false,[status(thm)],[527])).
% 2.23/2.39 tff(3665,plain,
% 2.23/2.39 (((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | $false | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3664])).
% 2.23/2.39 tff(3666,plain,
% 2.23/2.39 (((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(transitivity,[status(thm)],[3665, 3663])).
% 2.23/2.39 tff(3667,plain,
% 2.23/2.39 (((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3668,plain,
% 2.23/2.39 (((h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h4(e12), h1(e12)) = h4(e12))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3669,plain,
% 2.23/2.39 ((op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(h4(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3670,plain,
% 2.23/2.39 ((op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (h2(e12) = h4(e12))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3671,plain,
% 2.23/2.39 ((op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3672,plain,
% 2.23/2.39 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) <=> (h1(op1(e12, e12)) = h4(e12))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3673,plain,
% 2.23/2.39 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h4(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3672, 3671, 3670, 3669])).
% 2.23/2.39 tff(3674,plain,
% 2.23/2.39 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12)))),
% 2.23/2.39 inference(transitivity,[status(thm)],[3673, 3668])).
% 2.23/2.39 tff(3675,plain,
% 2.23/2.39 (((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3676,plain,
% 2.23/2.39 ((op2(e23, e20) = e23) <=> (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3677,plain,
% 2.23/2.39 ((op2(e22, e20) = e23) <=> (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3678,plain,
% 2.23/2.39 (((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[1487, 3445, 3677, 3676])).
% 2.23/2.39 tff(3679,plain,
% 2.23/2.39 (((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23)) <=> ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))))),
% 2.23/2.39 inference(transitivity,[status(thm)],[3678, 3675])).
% 2.23/2.39 tff(3680,plain,
% 2.23/2.39 (((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3681,plain,
% 2.23/2.39 ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3682,plain,
% 2.23/2.39 ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23))),
% 2.23/2.39 inference(rewrite,[status(thm)],[])).
% 2.23/2.39 tff(3683,plain,
% 2.23/2.39 (((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23)) <=> (((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3682])).
% 2.23/2.39 tff(3684,plain,
% 2.23/2.39 (((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23)) <=> ((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23))),
% 2.23/2.39 inference(transitivity,[status(thm)],[3683, 3681])).
% 2.23/2.39 tff(3685,plain,
% 2.23/2.39 ((((op2(e20, e20) = e23) | (op2(e21, e20) = e23)) | (op2(e22, e20) = e23)) | (op2(e23, e20) = e23)),
% 2.23/2.39 inference(and_elim,[status(thm)],[706])).
% 2.23/2.39 tff(3686,plain,
% 2.23/2.39 ((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23)),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 2.23/2.39 tff(3687,plain,
% 2.23/2.39 ((op2(e20, e20) = e23) | (op2(e21, e20) = e23) | (op2(e22, e20) = e23) | (op2(e23, e20) = e23)),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3686, 3680])).
% 2.23/2.39 tff(3688,plain,
% 2.23/2.39 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3687, 3679])).
% 2.23/2.39 tff(3689,plain,
% 2.23/2.39 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3688, 3675])).
% 2.23/2.39 tff(3690,plain,
% 2.23/2.39 ((op2(op2(h3(e12), op2(h3(e12), h3(e12))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(h3(e12), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12))) | (op2(op2(h3(e12), h3(e12)), op2(h3(e12), op2(h3(e12), h3(e12)))) = op2(h3(e12), h3(e12)))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3689, 3675])).
% 2.23/2.39 tff(3691,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3690, 3674])).
% 2.23/2.39 tff(3692,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (h2(e12) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3691, 3667])).
% 2.23/2.39 tff(3693,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3692, 3666])).
% 2.23/2.39 tff(3694,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3693, 3662])).
% 2.23/2.39 tff(3695,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3694, 3662])).
% 2.23/2.39 tff(3696,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3695, 3662])).
% 2.23/2.39 tff(3697,plain,
% 2.23/2.39 ((op2(h4(e12), h1(e12)) = h4(e12)) | (h1(op1(e12, e12)) = h4(e12)) | (op2(h2(e12), h1(e12)) = h4(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3696, 3662])).
% 2.23/2.39 tff(3698,plain,
% 2.23/2.39 (op2(h4(e12), h1(e12)) = h4(e12)),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[3697, 3424, 3324])).
% 2.23/2.39 tff(3699,plain,
% 2.23/2.39 (h3(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(h4(e12), h1(e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[3698, 2777])).
% 2.23/2.39 tff(3700,plain,
% 2.23/2.39 ((~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(h1(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(h2(e12), h2(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), h2(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(h1(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(h2(e12), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(h1(e12), h1(e12)))) | (~(h3(op1(op1(e12, e12), op1(e12, e12))) = op2(h4(e12), h4(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(h2(e12), h4(e12)))) | (~(h3(op1(op1(e12, e12), e12)) = op2(op2(h3(e12), h3(e12)), h3(e12)))) | (~(h3(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(h2(e12), h1(e12)))) | (~(h3(op1(op1(e12, op1(e12, e12)), e12)) = op2(h1(e12), h3(e12))))),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[3184, 3699])).
% 2.23/2.39 tff(3701,plain,
% 2.23/2.39 ($false),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[3700, 3661, 3621, 3613, 3610, 3605, 3562, 3559, 3556, 3545, 3532, 3523])).
% 2.23/2.39 tff(3702,plain,(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))), inference(lemma,lemma(discharge,[]))).
% 2.23/2.39 tff(3703,plain,
% 2.23/2.39 (~((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[2056, 3702])).
% 2.23/2.39 tff(3704,plain,
% 2.23/2.39 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[2681, 3703])).
% 2.23/2.39 tff(3705,plain,
% 2.23/2.39 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(e12, e12))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3702])).
% 2.23/2.39 tff(3706,plain,
% 2.23/2.39 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) <=> (op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.23/2.39 inference(transitivity,[status(thm)],[3705, 2532])).
% 2.23/2.39 tff(3707,plain,
% 2.23/2.39 ((op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.23/2.39 inference(symmetry,[status(thm)],[3706])).
% 2.23/2.39 tff(3708,plain,
% 2.23/2.39 ((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3707])).
% 2.23/2.39 tff(3709,plain,
% 2.23/2.39 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.23/2.39 inference(modus_ponens,[status(thm)],[2534, 3708])).
% 2.23/2.39 tff(3710,plain,
% 2.23/2.39 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[2723, 2692])).
% 2.23/2.39 tff(3711,plain,
% 2.23/2.39 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)),
% 2.23/2.39 inference(unit_resolution,[status(thm)],[3710, 3709])).
% 2.23/2.39 tff(3712,plain,
% 2.23/2.39 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) <=> (op1(e12, e12) = op1(e12, op1(e12, e12)))),
% 2.23/2.39 inference(monotonicity,[status(thm)],[3711])).
% 2.23/2.39 tff(3713,plain,
% 2.23/2.39 ((op1(e12, e12) = op1(e12, op1(e12, e12))) <=> (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 2.23/2.39 inference(symmetry,[status(thm)],[3712])).
% 2.23/2.39 tff(3714,plain,
% 2.23/2.39 ((~(op1(e12, e12) = op1(e12, op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3713])).
% 2.23/2.40 tff(3715,plain,
% 2.23/2.40 (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12)))),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[834, 3714])).
% 2.23/2.40 tff(3716,plain,
% 2.23/2.40 (op1(op1(e12, op1(e12, e12)), e12) = op1(e12, op1(e12, e12))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2757, 3715, 3704])).
% 2.23/2.40 tff(3717,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, e12)), e12)) = h4(op1(e12, op1(e12, e12)))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3716])).
% 2.23/2.40 tff(3718,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3717, 2261, 3511, 3318, 3515, 3514])).
% 2.23/2.40 tff(3719,plain,
% 2.23/2.40 (op2(h4(e12), h4(e12)) = h3(e12)),
% 2.23/2.40 inference(transitivity,[status(thm)],[1595, 3510])).
% 2.23/2.40 tff(3720,plain,
% 2.23/2.40 (op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12))) = op2(h3(e12), h3(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3719, 3719])).
% 2.23/2.40 tff(3721,plain,
% 2.23/2.40 (op2(h3(e12), h3(e12)) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3720])).
% 2.23/2.40 tff(3722,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, op1(e12, e12))) = op1(e12, e12))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[923, 3704])).
% 2.23/2.40 tff(3723,plain,
% 2.23/2.40 (~((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))) | (~((~(op1(e12, e12) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(e12, op1(e12, op1(e12, op1(e12, e12)))) = e12))) | (~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[921, 3722])).
% 2.23/2.40 tff(3724,plain,
% 2.23/2.40 ((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2843, 3723])).
% 2.23/2.40 tff(3725,plain,
% 2.23/2.40 ((~((~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)))) | (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2845, 2692])).
% 2.23/2.40 tff(3726,plain,
% 2.23/2.40 (~(op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3725, 3724])).
% 2.23/2.40 tff(3727,plain,
% 2.23/2.40 ((op1(op1(e12, e12), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))) | (op1(op1(e12, e12), op1(e12, e12)) = e12)),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2996, 2964])).
% 2.23/2.40 tff(3728,plain,
% 2.23/2.40 (op1(op1(e12, e12), op1(e12, e12)) = e12),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3727, 3726])).
% 2.23/2.40 tff(3729,plain,
% 2.23/2.40 (h4(op1(op1(e12, e12), op1(e12, e12))) = h4(e12)),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3728])).
% 2.23/2.40 tff(3730,plain,
% 2.23/2.40 (h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3729, 1586, 3721])).
% 2.23/2.40 tff(3731,plain,
% 2.23/2.40 (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = op2(h4(e12), h2(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3512])).
% 2.23/2.40 tff(3732,plain,
% 2.23/2.40 (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)),
% 2.23/2.40 inference(transitivity,[status(thm)],[3731, 3198])).
% 2.23/2.40 tff(3733,plain,
% 2.23/2.40 (op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h3(e12), h1(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3719, 3732])).
% 2.23/2.40 tff(3734,plain,
% 2.23/2.40 (op2(h3(e12), h1(e12)) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3733])).
% 2.23/2.40 tff(3735,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3702])).
% 2.23/2.40 tff(3736,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) <=> (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3735, 2847])).
% 2.23/2.40 tff(3737,plain,
% 2.23/2.40 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))))) <=> (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3736])).
% 2.23/2.40 tff(3738,plain,
% 2.23/2.40 (~(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[2855, 3737])).
% 2.23/2.40 tff(3739,plain,
% 2.23/2.40 ((op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3150, 2692])).
% 2.23/2.40 tff(3740,plain,
% 2.23/2.40 (op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, op1(e12, e12))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3739, 3738])).
% 2.23/2.40 tff(3741,plain,
% 2.23/2.40 (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = h4(op1(e12, op1(e12, e12)))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3740])).
% 2.23/2.40 tff(3742,plain,
% 2.23/2.40 (h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3741, 2261, 3511, 3318, 2252, 3734])).
% 2.23/2.40 tff(3743,plain,
% 2.23/2.40 (op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))) = op2(h2(e12), h2(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3512, 3512])).
% 2.23/2.40 tff(3744,plain,
% 2.23/2.40 (op2(h2(e12), h2(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3743])).
% 2.23/2.40 tff(3745,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12)),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3025, 2120])).
% 2.23/2.40 tff(3746,plain,
% 2.23/2.40 (op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = e12),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3745, 3704])).
% 2.23/2.40 tff(3747,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = h4(e12)),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3746])).
% 2.23/2.40 tff(3748,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3747, 3611, 514, 3744])).
% 2.23/2.40 tff(3749,plain,
% 2.23/2.40 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)) = op2(h1(e12), h4(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3732])).
% 2.23/2.40 tff(3750,plain,
% 2.23/2.40 (op2(h1(e12), h4(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3749])).
% 2.23/2.40 tff(3751,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3728])).
% 2.23/2.40 tff(3752,plain,
% 2.23/2.40 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(op1(e12, e12), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3751])).
% 2.23/2.40 tff(3753,plain,
% 2.23/2.40 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = e12)),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[3041, 3752])).
% 2.23/2.40 tff(3754,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (e12 = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3746])).
% 2.23/2.40 tff(3755,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 2.23/2.40 inference(transitivity,[status(thm)],[3754, 3043])).
% 2.23/2.40 tff(3756,plain,
% 2.23/2.40 ((~(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3755])).
% 2.23/2.40 tff(3757,plain,
% 2.23/2.40 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = e12)),
% 2.23/2.40 inference(modus_ponens,[status(thm)],[1031, 3756])).
% 2.23/2.40 tff(3758,plain,
% 2.23/2.40 (op1(op1(e12, op1(e12, op1(e12, e12))), e12) = e12),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3070, 3757, 3753])).
% 2.23/2.40 tff(3759,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = h4(e12)),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3758])).
% 2.23/2.40 tff(3760,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3759, 3606, 3750])).
% 2.23/2.40 tff(3761,plain,
% 2.23/2.40 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))) = op2(h1(e12), h3(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3732, 3719])).
% 2.23/2.40 tff(3762,plain,
% 2.23/2.40 (op2(h1(e12), h3(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3761])).
% 2.23/2.40 tff(3763,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(e12, e12)) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2950, 2918])).
% 2.23/2.40 tff(3764,plain,
% 2.23/2.40 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, e12)),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3763, 3709])).
% 2.23/2.40 tff(3765,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = h4(op1(e12, e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3764])).
% 2.23/2.40 tff(3766,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12)))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3765, 3510, 3658, 3762])).
% 2.23/2.40 tff(3767,plain,
% 2.23/2.40 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h1(e12), h1(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3732, 3732])).
% 2.23/2.40 tff(3768,plain,
% 2.23/2.40 (op2(h1(e12), h1(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3767])).
% 2.23/2.40 tff(3769,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = h4(op1(e12, op1(e12, op1(e12, e12))))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3702])).
% 2.23/2.40 tff(3770,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.23/2.40 inference(transitivity,[status(thm)],[3769, 2328, 3731, 3198, 3560, 3768])).
% 2.23/2.40 tff(3771,plain,
% 2.23/2.40 (op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))) = op2(h1(e12), h2(e12))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3732, 3512])).
% 2.23/2.40 tff(3772,plain,
% 2.23/2.40 (op2(h1(e12), h2(e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))),
% 2.23/2.40 inference(symmetry,[status(thm)],[3771])).
% 2.23/2.40 tff(3773,plain,
% 2.23/2.40 ((op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))) | (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12)))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[2823, 2795])).
% 2.23/2.40 tff(3774,plain,
% 2.23/2.40 (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12))) = op1(e12, op1(e12, e12))),
% 2.23/2.40 inference(unit_resolution,[status(thm)],[3773, 3704])).
% 2.23/2.40 tff(3775,plain,
% 2.23/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = h4(op1(e12, op1(e12, e12)))),
% 2.23/2.40 inference(monotonicity,[status(thm)],[3774])).
% 2.23/2.40 tff(3776,plain,
% 2.26/2.40 (h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12))))),
% 2.26/2.40 inference(transitivity,[status(thm)],[3775, 2261, 3511, 3318, 3517, 3772])).
% 2.26/2.40 tff(3777,plain,
% 2.26/2.40 (op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h2(e12), h1(e12))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3512, 3732])).
% 2.26/2.40 tff(3778,plain,
% 2.26/2.40 (op2(h2(e12), h1(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.26/2.40 inference(symmetry,[status(thm)],[3777])).
% 2.26/2.40 tff(3779,plain,
% 2.26/2.40 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = h4(op1(e12, e12))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3711])).
% 2.26/2.40 tff(3780,plain,
% 2.26/2.40 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.26/2.40 inference(transitivity,[status(thm)],[3779, 3510, 3524, 3778])).
% 2.26/2.40 tff(3781,plain,
% 2.26/2.40 (op2(op2(h4(e12), h4(e12)), h4(e12)) = op2(h3(e12), h4(e12))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3719])).
% 2.26/2.40 tff(3782,plain,
% 2.26/2.40 (op2(h3(e12), h4(e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))),
% 2.26/2.40 inference(symmetry,[status(thm)],[3781])).
% 2.26/2.40 tff(3783,plain,
% 2.26/2.40 (op1(op1(e12, e12), e12) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.26/2.40 inference(unit_resolution,[status(thm)],[2889, 3738, 3726])).
% 2.26/2.40 tff(3784,plain,
% 2.26/2.40 (h4(op1(op1(e12, e12), e12)) = h4(op1(e12, op1(e12, op1(e12, e12))))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3783])).
% 2.26/2.40 tff(3785,plain,
% 2.26/2.40 (h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12))),
% 2.26/2.40 inference(transitivity,[status(thm)],[3784, 2328, 3731, 3198, 2513, 3782])).
% 2.26/2.40 tff(3786,plain,
% 2.26/2.40 (op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))) = op2(h2(e12), h3(e12))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3512, 3719])).
% 2.26/2.40 tff(3787,plain,
% 2.26/2.40 (op2(h2(e12), h3(e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))),
% 2.26/2.40 inference(symmetry,[status(thm)],[3786])).
% 2.26/2.40 tff(3788,plain,
% 2.26/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(e12, op1(e12, op1(e12, e12))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3702])).
% 2.26/2.40 tff(3789,plain,
% 2.26/2.40 ((op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) <=> (op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.26/2.40 inference(transitivity,[status(thm)],[3788, 1603])).
% 2.26/2.40 tff(3790,plain,
% 2.26/2.40 ((~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12)))) = op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)))) <=> (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3789])).
% 2.26/2.40 tff(3791,plain,
% 2.26/2.40 (~(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12))))),
% 2.26/2.40 inference(modus_ponens,[status(thm)],[1612, 3790])).
% 2.26/2.40 tff(3792,plain,
% 2.26/2.40 (op1(op1(e12, op1(e12, e12)), op1(e12, e12)) = op1(e12, op1(e12, op1(e12, e12)))),
% 2.26/2.40 inference(unit_resolution,[status(thm)],[3111, 3791, 3726])).
% 2.26/2.40 tff(3793,plain,
% 2.26/2.40 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = h4(op1(e12, op1(e12, op1(e12, e12))))),
% 2.26/2.40 inference(monotonicity,[status(thm)],[3792])).
% 2.26/2.40 tff(3794,plain,
% 2.26/2.40 (h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12)))),
% 2.26/2.40 inference(transitivity,[status(thm)],[3793, 2328, 3731, 3198, 3603, 3787])).
% 2.26/2.40 tff(3795,plain,
% 2.26/2.40 ((h4(e12) = h3(e12)) | (h4(op1(e12, e12)) = h3(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h3(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h3(e12))),
% 2.26/2.40 inference(unit_resolution,[status(thm)],[1539, 3510])).
% 2.26/2.40 tff(3796,plain,
% 2.26/2.40 ((h4(e12) = h2(e12)) | (h4(op1(e12, e12)) = h2(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h2(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h2(e12))),
% 2.26/2.42 inference(unit_resolution,[status(thm)],[1589, 3512])).
% 2.26/2.42 tff(3797,plain,
% 2.26/2.42 ((h4(op1(e12, e12)) = h1(e12)) | (op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))) = h1(e12)) | (op2(h4(e12), h4(op1(e12, e12))) = h1(e12))),
% 2.26/2.42 inference(unit_resolution,[status(thm)],[1593, 3732])).
% 2.26/2.42 tff(3798,plain,
% 2.26/2.42 (op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))) = op2(h4(e12), h1(e12))),
% 2.26/2.42 inference(monotonicity,[status(thm)],[3732])).
% 2.26/2.42 tff(3799,plain,
% 2.26/2.42 (op2(h4(e12), h1(e12)) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.26/2.42 inference(symmetry,[status(thm)],[3798])).
% 2.26/2.42 tff(3800,plain,
% 2.26/2.42 (h4(e12) = op2(h4(e12), h1(e12))),
% 2.26/2.42 inference(symmetry,[status(thm)],[3698])).
% 2.26/2.42 tff(3801,plain,
% 2.26/2.42 (h4(op1(e12, op1(e12, op1(e12, op1(e12, e12))))) = op2(h4(e12), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))))),
% 2.26/2.42 inference(transitivity,[status(thm)],[2272, 3800, 3799])).
% 2.26/2.42 tff(3802,plain,
% 2.26/2.42 (op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12)))) = op2(h3(e12), h2(e12))),
% 2.26/2.42 inference(monotonicity,[status(thm)],[3719, 3512])).
% 2.26/2.42 tff(3803,plain,
% 2.26/2.42 (op2(h3(e12), h2(e12)) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))),
% 2.26/2.42 inference(symmetry,[status(thm)],[3802])).
% 2.26/2.42 tff(3804,plain,
% 2.26/2.42 (h4(op1(op1(e12, e12), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(op1(e12, e12))))),
% 2.26/2.42 inference(transitivity,[status(thm)],[2282, 3510, 2281, 3803])).
% 2.26/2.42 tff(3805,plain,
% 2.26/2.42 ((~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, e12))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, e12)), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(op1(e12, e12))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, e12)))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(op1(e12, e12)))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), op1(e12, e12))) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), op2(h4(e12), h4(e12))))) | (~(h4(op1(op1(e12, op1(e12, op1(e12, e12))), e12)) = op2(op2(h4(e12), op2(h4(e12), h4(op1(e12, e12)))), h4(e12)))) | (~(h4(op1(op1(e12, e12), e12)) = op2(op2(h4(e12), h4(e12)), h4(e12)))) | (~(h4(op1(op1(e12, e12), op1(e12, op1(e12, op1(e12, e12))))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), op2(h4(e12), h4(op1(e12, e12))))))) | (~(h4(op1(op1(e12, e12), op1(e12, e12))) = op2(op2(h4(e12), h4(e12)), op2(h4(e12), h4(e12)))))),
% 2.26/2.42 inference(unit_resolution,[status(thm)],[2674, 3804, 3801, 3797, 3796, 3795])).
% 2.26/2.42 tff(3806,plain,
% 2.26/2.42 (~(h4(op1(op1(e12, op1(e12, e12)), e12)) = op2(op2(h4(e12), h4(op1(e12, e12))), h4(e12)))),
% 2.26/2.42 inference(unit_resolution,[status(thm)],[3805, 3794, 3785, 3780, 3776, 3770, 3766, 3760, 3748, 3742, 3730])).
% 2.26/2.42 tff(3807,plain,
% 2.26/2.42 ($false),
% 2.26/2.42 inference(unit_resolution,[status(thm)],[3806, 3718])).
% 2.26/2.42 % SZS output end Proof
%------------------------------------------------------------------------------