TSTP Solution File: SET143+3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% 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 20 05:05:52 EDT 2022
% Result : Theorem 19.74s 12.86s
% Output : Proof 19.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Sep 3 03:00:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 19.74/12.86 % SZS status Theorem
% 19.74/12.86 % SZS output start Proof
% 19.74/12.86 tff(member_type, type, (
% 19.74/12.86 member: ( $i * $i ) > $o)).
% 19.74/12.86 tff(tptp_fun_B_4_type, type, (
% 19.74/12.86 tptp_fun_B_4: $i)).
% 19.74/12.86 tff(tptp_fun_D_1_type, type, (
% 19.74/12.86 tptp_fun_D_1: ( $i * $i ) > $i)).
% 19.74/12.86 tff(intersection_type, type, (
% 19.74/12.86 intersection: ( $i * $i ) > $i)).
% 19.74/12.86 tff(tptp_fun_D_2_type, type, (
% 19.74/12.86 tptp_fun_D_2: $i)).
% 19.74/12.86 tff(tptp_fun_C_3_type, type, (
% 19.74/12.86 tptp_fun_C_3: $i)).
% 19.74/12.86 tff(1,plain,
% 19.74/12.86 (^[B: $i, C: $i, D: $i] : refl((member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C))))) <=> (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C))))))),
% 19.74/12.86 inference(bind,[status(th)],[])).
% 19.74/12.86 tff(2,plain,
% 19.74/12.86 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C))))) <=> ![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))),
% 19.74/12.86 inference(quant_intro,[status(thm)],[1])).
% 19.74/12.86 tff(3,plain,
% 19.74/12.86 (^[B: $i, C: $i, D: $i] : rewrite((member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C))))))),
% 19.74/12.86 inference(bind,[status(th)],[])).
% 19.74/12.86 tff(4,plain,
% 19.74/12.86 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> ![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))),
% 19.74/12.86 inference(quant_intro,[status(thm)],[3])).
% 19.74/12.86 tff(5,plain,
% 19.74/12.86 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C))) <=> ![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))),
% 19.74/12.86 inference(rewrite,[status(thm)],[])).
% 19.74/12.86 tff(6,axiom,(![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','intersection_defn')).
% 19.74/12.86 tff(7,plain,
% 19.74/12.86 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))),
% 19.74/12.86 inference(modus_ponens,[status(thm)],[6, 5])).
% 19.74/12.86 tff(8,plain,(
% 19.74/12.86 ![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (member(D, B) & member(D, C)))),
% 19.74/12.86 inference(skolemize,[status(sab)],[7])).
% 19.74/12.86 tff(9,plain,
% 19.74/12.86 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))),
% 19.74/12.86 inference(modus_ponens,[status(thm)],[8, 4])).
% 19.74/12.86 tff(10,plain,
% 19.74/12.86 (![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))),
% 19.74/12.86 inference(modus_ponens,[status(thm)],[9, 2])).
% 19.74/12.86 tff(11,plain,
% 19.74/12.86 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))))),
% 19.74/12.86 inference(quant_inst,[status(thm)],[])).
% 19.74/12.86 tff(12,plain,
% 19.74/12.86 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))))),
% 19.74/12.86 inference(unit_resolution,[status(thm)],[11, 10])).
% 19.74/12.86 tff(13,plain,
% 19.74/12.86 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))),
% 19.74/12.87 inference(quant_inst,[status(thm)],[])).
% 19.74/12.87 tff(14,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[13, 10])).
% 19.74/12.87 tff(15,assumption,((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))), introduced(assumption)).
% 19.74/12.87 tff(16,assumption,(~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))), introduced(assumption)).
% 19.74/12.87 tff(17,plain,
% 19.74/12.87 (^[B: $i, C: $i] : refl((intersection(B, C) = intersection(C, B)) <=> (intersection(B, C) = intersection(C, B)))),
% 19.74/12.87 inference(bind,[status(th)],[])).
% 19.74/12.87 tff(18,plain,
% 19.74/12.87 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B)) <=> ![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 19.74/12.87 inference(quant_intro,[status(thm)],[17])).
% 19.74/12.87 tff(19,plain,
% 19.74/12.87 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B)) <=> ![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 19.74/12.87 inference(rewrite,[status(thm)],[])).
% 19.74/12.87 tff(20,axiom,(![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','commutativity_of_intersection')).
% 19.74/12.87 tff(21,plain,
% 19.74/12.87 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 19.74/12.87 inference(modus_ponens,[status(thm)],[20, 19])).
% 19.74/12.87 tff(22,plain,(
% 19.74/12.87 ![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 19.74/12.87 inference(skolemize,[status(sab)],[21])).
% 19.74/12.87 tff(23,plain,
% 19.74/12.87 (![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))),
% 19.74/12.87 inference(modus_ponens,[status(thm)],[22, 18])).
% 19.74/12.87 tff(24,plain,
% 19.74/12.87 ((~![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))) | (intersection(B!4, C!3) = intersection(C!3, B!4))),
% 19.74/12.87 inference(quant_inst,[status(thm)],[])).
% 19.74/12.87 tff(25,plain,
% 19.74/12.87 (intersection(B!4, C!3) = intersection(C!3, B!4)),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[24, 23])).
% 19.74/12.87 tff(26,plain,
% 19.74/12.87 (intersection(C!3, B!4) = intersection(B!4, C!3)),
% 19.74/12.87 inference(symmetry,[status(thm)],[25])).
% 19.74/12.87 tff(27,plain,
% 19.74/12.87 (intersection(D!2, intersection(C!3, B!4)) = intersection(D!2, intersection(B!4, C!3))),
% 19.74/12.87 inference(monotonicity,[status(thm)],[26])).
% 19.74/12.87 tff(28,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.87 inference(monotonicity,[status(thm)],[27])).
% 19.74/12.87 tff(29,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4)))),
% 19.74/12.87 inference(symmetry,[status(thm)],[28])).
% 19.74/12.87 tff(30,plain,
% 19.74/12.87 ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))) <=> (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))))),
% 19.74/12.87 inference(monotonicity,[status(thm)],[29])).
% 19.74/12.87 tff(31,plain,
% 19.74/12.87 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(32,plain,
% 19.74/12.87 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[31, 16])).
% 19.74/12.87 tff(33,plain,
% 19.74/12.87 ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[32, 14])).
% 19.74/12.87 tff(34,plain,
% 19.74/12.87 (((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))))))),
% 19.74/12.87 inference(rewrite,[status(thm)],[])).
% 19.74/12.87 tff(35,plain,
% 19.74/12.87 ((member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4))))) <=> (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))))),
% 19.74/12.87 inference(rewrite,[status(thm)],[])).
% 19.74/12.87 tff(36,plain,
% 19.74/12.87 (((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))))))),
% 19.74/12.87 inference(monotonicity,[status(thm)],[35])).
% 19.74/12.87 tff(37,plain,
% 19.74/12.87 (((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))))))),
% 19.74/12.87 inference(transitivity,[status(thm)],[36, 34])).
% 19.74/12.87 tff(38,plain,
% 19.74/12.87 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))),
% 19.74/12.87 inference(quant_inst,[status(thm)],[])).
% 19.74/12.87 tff(39,plain,
% 19.74/12.87 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))))),
% 19.74/12.87 inference(modus_ponens,[status(thm)],[38, 37])).
% 19.74/12.87 tff(40,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[39, 10])).
% 19.74/12.87 tff(41,plain,
% 19.74/12.87 ((~![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))) | (intersection(C!3, D!2) = intersection(D!2, C!3))),
% 19.74/12.87 inference(quant_inst,[status(thm)],[])).
% 19.74/12.87 tff(42,plain,
% 19.74/12.87 (intersection(C!3, D!2) = intersection(D!2, C!3)),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[41, 23])).
% 19.74/12.87 tff(43,plain,
% 19.74/12.87 (intersection(D!2, C!3) = intersection(C!3, D!2)),
% 19.74/12.87 inference(symmetry,[status(thm)],[42])).
% 19.74/12.87 tff(44,plain,
% 19.74/12.87 (intersection(intersection(D!2, C!3), B!4) = intersection(intersection(C!3, D!2), B!4)),
% 19.74/12.87 inference(monotonicity,[status(thm)],[43])).
% 19.74/12.87 tff(45,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.74/12.87 inference(monotonicity,[status(thm)],[44])).
% 19.74/12.87 tff(46,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4))),
% 19.74/12.87 inference(symmetry,[status(thm)],[45])).
% 19.74/12.87 tff(47,assumption,(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))), introduced(assumption)).
% 19.74/12.87 tff(48,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4))),
% 19.74/12.87 inference(modus_ponens,[status(thm)],[47, 46])).
% 19.74/12.87 tff(49,plain,
% 19.74/12.87 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(D!2, C!3), B!4))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))))),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(50,plain,
% 19.74/12.87 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[49, 48, 40])).
% 19.74/12.87 tff(51,plain,
% 19.74/12.87 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(52,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[51, 50])).
% 19.74/12.87 tff(53,plain,
% 19.74/12.87 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(54,plain,
% 19.74/12.87 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[53, 52, 33])).
% 19.74/12.87 tff(55,plain,
% 19.74/12.87 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4)))),
% 19.74/12.87 inference(modus_ponens,[status(thm)],[54, 30])).
% 19.74/12.87 tff(56,plain,
% 19.74/12.87 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))),
% 19.74/12.87 inference(quant_inst,[status(thm)],[])).
% 19.74/12.87 tff(57,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[56, 10])).
% 19.74/12.87 tff(58,plain,
% 19.74/12.87 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(59,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[58, 50])).
% 19.74/12.87 tff(60,plain,
% 19.74/12.87 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))))),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(61,plain,
% 19.74/12.87 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[60, 59])).
% 19.74/12.87 tff(62,plain,
% 19.74/12.87 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[61, 12])).
% 19.74/12.87 tff(63,plain,
% 19.74/12.87 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(64,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[63, 62])).
% 19.74/12.87 tff(65,plain,
% 19.74/12.87 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(66,plain,
% 19.74/12.87 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)),
% 19.74/12.87 inference(unit_resolution,[status(thm)],[65, 62])).
% 19.74/12.87 tff(67,plain,
% 19.74/12.87 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4))),
% 19.74/12.87 inference(tautology,[status(thm)],[])).
% 19.74/12.87 tff(68,plain,
% 19.74/12.87 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[67, 66, 52])).
% 19.74/12.88 tff(69,assumption,(~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))), introduced(assumption)).
% 19.74/12.88 tff(70,plain,
% 19.74/12.88 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))),
% 19.74/12.88 inference(quant_inst,[status(thm)],[])).
% 19.74/12.88 tff(71,plain,
% 19.74/12.88 ($false),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[70, 10, 69])).
% 19.74/12.88 tff(72,plain,(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4))))), inference(lemma,lemma(discharge,[]))).
% 19.74/12.88 tff(73,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(74,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[73, 72])).
% 19.74/12.88 tff(75,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[74, 68])).
% 19.74/12.88 tff(76,plain,
% 19.74/12.88 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(77,plain,
% 19.74/12.88 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[76, 75, 64])).
% 19.74/12.88 tff(78,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(79,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4)))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[78, 77, 57])).
% 19.74/12.88 tff(80,plain,
% 19.74/12.88 ($false),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[79, 55])).
% 19.74/12.88 tff(81,plain,((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))), inference(lemma,lemma(discharge,[]))).
% 19.74/12.88 tff(82,plain,
% 19.74/12.88 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[81, 16])).
% 19.74/12.88 tff(83,plain,
% 19.74/12.88 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4)) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(84,plain,
% 19.74/12.88 ($false),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[83, 82, 16, 15])).
% 19.74/12.88 tff(85,plain,(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))), inference(lemma,lemma(discharge,[]))).
% 19.74/12.88 tff(86,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[85, 15])).
% 19.74/12.88 tff(87,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(88,plain,
% 19.74/12.88 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[87, 86, 14])).
% 19.74/12.88 tff(89,plain,
% 19.74/12.88 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(90,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[89, 88])).
% 19.74/12.88 tff(91,plain,
% 19.74/12.88 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))))),
% 19.74/12.88 inference(quant_inst,[status(thm)],[])).
% 19.74/12.88 tff(92,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[91, 10])).
% 19.74/12.88 tff(93,plain,
% 19.74/12.88 ((~![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))) | (intersection(B!4, intersection(C!3, D!2)) = intersection(intersection(C!3, D!2), B!4))),
% 19.74/12.88 inference(quant_inst,[status(thm)],[])).
% 19.74/12.88 tff(94,plain,
% 19.74/12.88 (intersection(B!4, intersection(C!3, D!2)) = intersection(intersection(C!3, D!2), B!4)),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[93, 23])).
% 19.74/12.88 tff(95,plain,
% 19.74/12.88 (intersection(B!4, intersection(D!2, C!3)) = intersection(B!4, intersection(C!3, D!2))),
% 19.74/12.88 inference(monotonicity,[status(thm)],[43])).
% 19.74/12.88 tff(96,plain,
% 19.74/12.88 (intersection(B!4, intersection(D!2, C!3)) = intersection(intersection(C!3, D!2), B!4)),
% 19.74/12.88 inference(transitivity,[status(thm)],[95, 94])).
% 19.74/12.88 tff(97,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.74/12.88 inference(monotonicity,[status(thm)],[96])).
% 19.74/12.88 tff(98,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3)))),
% 19.74/12.88 inference(symmetry,[status(thm)],[97])).
% 19.74/12.88 tff(99,plain,
% 19.74/12.88 ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3))))),
% 19.74/12.88 inference(monotonicity,[status(thm)],[98])).
% 19.74/12.88 tff(100,plain,
% 19.74/12.88 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(101,plain,
% 19.74/12.88 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[100, 86, 15])).
% 19.74/12.88 tff(102,plain,
% 19.74/12.88 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3)))),
% 19.74/12.88 inference(modus_ponens,[status(thm)],[101, 99])).
% 19.74/12.88 tff(103,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, C!3))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(104,plain,
% 19.74/12.88 ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[103, 102, 92])).
% 19.74/12.88 tff(105,plain,
% 19.74/12.88 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(106,plain,
% 19.74/12.88 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[105, 104, 90])).
% 19.74/12.88 tff(107,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(108,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, C!3)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[107, 106])).
% 19.74/12.88 tff(109,plain,
% 19.74/12.88 ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[108, 12])).
% 19.74/12.88 tff(110,plain,
% 19.74/12.88 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(111,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[110, 88])).
% 19.74/12.88 tff(112,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4)))),
% 19.74/12.88 inference(modus_ponens,[status(thm)],[111, 29])).
% 19.74/12.88 tff(113,plain,
% 19.74/12.88 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4))) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(C!3, B!4)))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(114,plain,
% 19.74/12.88 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[113, 112, 57])).
% 19.74/12.88 tff(115,plain,
% 19.74/12.88 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)),
% 19.74/12.88 inference(tautology,[status(thm)],[])).
% 19.74/12.88 tff(116,plain,
% 19.74/12.88 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)),
% 19.74/12.88 inference(unit_resolution,[status(thm)],[115, 114])).
% 19.74/12.88 tff(117,plain,
% 19.74/12.88 ((~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(118,plain,
% 19.74/12.89 (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[117, 116, 109])).
% 19.74/12.89 tff(119,plain,
% 19.74/12.89 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(120,plain,
% 19.74/12.89 (member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[119, 114])).
% 19.74/12.89 tff(121,plain,
% 19.74/12.89 ((~(member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))))) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4))))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(122,plain,
% 19.74/12.89 ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4))))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[121, 72])).
% 19.74/12.89 tff(123,plain,
% 19.74/12.89 (~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4)))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[122, 120])).
% 19.74/12.89 tff(124,plain,
% 19.74/12.89 (((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), B!4))) | member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), C!3)),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(125,plain,
% 19.74/12.89 ($false),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[124, 123, 118])).
% 19.74/12.89 tff(126,plain,(~((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))), inference(lemma,lemma(discharge,[]))).
% 19.74/12.89 tff(127,plain,
% 19.74/12.89 (^[B: $i, C: $i, D: $i] : refl((~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 19.74/12.89 inference(bind,[status(th)],[])).
% 19.74/12.89 tff(128,plain,
% 19.74/12.89 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(quant_intro,[status(thm)],[127])).
% 19.74/12.89 tff(129,plain,
% 19.74/12.89 (![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(pull_quant,[status(thm)],[])).
% 19.74/12.89 tff(130,plain,
% 19.74/12.89 (^[B: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(pull_quant(((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) <=> ![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))), ((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) <=> (~![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))))), pull_quant((~![D: $i] : ((~(B = C)) | (member(D, B) <=> member(D, C)))) <=> ?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C))))), ((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) <=> ?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))) <=> (?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), pull_quant((?[D: $i] : (~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))), (((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))) <=> ?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))))), pull_quant((~?[D: $i] : ((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), ((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))))),
% 19.74/12.89 inference(bind,[status(th)],[])).
% 19.74/12.89 tff(131,plain,
% 19.74/12.89 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i] : ![D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(quant_intro,[status(thm)],[130])).
% 19.74/12.89 tff(132,plain,
% 19.74/12.89 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(transitivity,[status(thm)],[131, 129])).
% 19.74/12.89 tff(133,plain,
% 19.74/12.89 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(transitivity,[status(thm)],[132, 128])).
% 19.74/12.89 tff(134,plain,
% 19.74/12.89 (^[B: $i, C: $i] : rewrite((~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))))),
% 19.74/12.89 inference(bind,[status(th)],[])).
% 19.74/12.89 tff(135,plain,
% 19.74/12.89 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(quant_intro,[status(thm)],[134])).
% 19.74/12.89 tff(136,plain,
% 19.74/12.89 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))) <=> ![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(transitivity,[status(thm)],[135, 133])).
% 19.74/12.89 tff(137,plain,
% 19.74/12.89 (^[B: $i, C: $i] : trans(monotonicity(rewrite(((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) <=> ((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))), rewrite((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))), ((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))))),
% 19.74/12.89 inference(bind,[status(th)],[])).
% 19.74/12.89 tff(138,plain,
% 19.74/12.89 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))) <=> ![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(quant_intro,[status(thm)],[137])).
% 19.74/12.89 tff(139,plain,
% 19.74/12.89 (^[B: $i, C: $i] : rewrite((((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C)))))),
% 19.74/12.89 inference(bind,[status(th)],[])).
% 19.74/12.89 tff(140,plain,
% 19.74/12.89 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C))))) <=> ![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))),
% 19.74/12.89 inference(quant_intro,[status(thm)],[139])).
% 19.74/12.89 tff(141,plain,
% 19.74/12.89 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C))) <=> ![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 19.74/12.89 inference(rewrite,[status(thm)],[])).
% 19.74/12.89 tff(142,axiom,(![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','equal_member_defn')).
% 19.74/12.89 tff(143,plain,
% 19.74/12.89 (![B: $i, C: $i] : ((B = C) <=> ![D: $i] : (member(D, B) <=> member(D, C)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[142, 141])).
% 19.74/12.89 tff(144,plain,(
% 19.74/12.89 ![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | (~(member(tptp_fun_D_1(C, B), B) <=> member(tptp_fun_D_1(C, B), C)))))),
% 19.74/12.89 inference(skolemize,[status(sab)],[143])).
% 19.74/12.89 tff(145,plain,
% 19.74/12.89 (![B: $i, C: $i] : (((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C))) & ((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[144, 140])).
% 19.74/12.89 tff(146,plain,
% 19.74/12.89 (![B: $i, C: $i] : (~((~((~(B = C)) | ![D: $i] : (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[145, 138])).
% 19.74/12.89 tff(147,plain,
% 19.74/12.89 (![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[146, 136])).
% 19.74/12.89 tff(148,plain,
% 19.74/12.89 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3))))) | (member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(D!2, C!3)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(D!2, C!3)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))) | (~((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))))))),
% 19.74/12.89 inference(quant_inst,[status(thm)],[])).
% 19.74/12.89 tff(149,plain,
% 19.74/12.89 (~((~((~(intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3))))) | (member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(D!2, C!3)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(D!2, C!3)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))) | (~((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[148, 147])).
% 19.74/12.89 tff(150,plain,
% 19.74/12.89 (((~((~(intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3))))) | (member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(D!2, C!3)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(D!2, C!3)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))) | (~((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))))) | ((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(151,plain,
% 19.74/12.89 ((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[150, 149])).
% 19.74/12.89 tff(152,plain,
% 19.74/12.89 ((~((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))))) | (intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(153,plain,
% 19.74/12.89 ((intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(B!4, intersection(D!2, intersection(B!4, C!3))), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[152, 151])).
% 19.74/12.89 tff(154,plain,
% 19.74/12.89 (intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[153, 126])).
% 19.74/12.89 tff(155,plain,
% 19.74/12.89 (intersection(B!4, intersection(D!2, intersection(B!4, C!3))) = intersection(intersection(C!3, D!2), B!4)),
% 19.74/12.89 inference(symmetry,[status(thm)],[154])).
% 19.74/12.89 tff(156,plain,
% 19.74/12.89 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.74/12.89 inference(monotonicity,[status(thm)],[155])).
% 19.74/12.89 tff(157,plain,
% 19.74/12.89 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.89 inference(symmetry,[status(thm)],[156])).
% 19.74/12.89 tff(158,assumption,(~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))), introduced(assumption)).
% 19.74/12.89 tff(159,plain,
% 19.74/12.89 ((~![B: $i, C: $i, D: $i] : (~((~((~(B = C)) | (member(D, B) <=> member(D, C)))) | (~((B = C) | ((~member(tptp_fun_D_1(C, B), B)) <=> member(tptp_fun_D_1(C, B), C))))))) | (~((~((~(intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(C!3, B!4)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(C!3, B!4)), intersection(D!2, intersection(B!4, C!3)))))) | (~((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))))),
% 19.74/12.89 inference(quant_inst,[status(thm)],[])).
% 19.74/12.89 tff(160,plain,
% 19.74/12.89 (~((~((~(intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(C!3, B!4)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(C!3, B!4)), intersection(D!2, intersection(B!4, C!3)))))) | (~((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[159, 147])).
% 19.74/12.89 tff(161,plain,
% 19.74/12.89 (((~((~(intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3)))) | (member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(C!3, B!4)), intersection(intersection(C!3, D!2), B!4)) <=> member(tptp_fun_D_1(intersection(intersection(C!3, D!2), B!4), intersection(C!3, B!4)), intersection(D!2, intersection(B!4, C!3)))))) | (~((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))) | ((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(162,plain,
% 19.74/12.89 ((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[161, 160])).
% 19.74/12.89 tff(163,plain,
% 19.74/12.89 ((intersection(B!4, intersection(C!3, D!2)) = intersection(intersection(B!4, C!3), D!2)) <=> (intersection(intersection(B!4, C!3), D!2) = intersection(B!4, intersection(C!3, D!2)))),
% 19.74/12.89 inference(commutativity,[status(thm)],[])).
% 19.74/12.89 tff(164,plain,
% 19.74/12.89 ((~![B: $i, C: $i] : (intersection(B, C) = intersection(C, B))) | (intersection(intersection(B!4, C!3), D!2) = intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.89 inference(quant_inst,[status(thm)],[])).
% 19.74/12.89 tff(165,plain,
% 19.74/12.89 (intersection(intersection(B!4, C!3), D!2) = intersection(D!2, intersection(B!4, C!3))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[164, 23])).
% 19.74/12.89 tff(166,plain,
% 19.74/12.89 (intersection(D!2, intersection(B!4, C!3)) = intersection(intersection(B!4, C!3), D!2)),
% 19.74/12.89 inference(symmetry,[status(thm)],[165])).
% 19.74/12.89 tff(167,plain,
% 19.74/12.89 (intersection(intersection(C!3, D!2), B!4) = intersection(B!4, intersection(C!3, D!2))),
% 19.74/12.89 inference(symmetry,[status(thm)],[94])).
% 19.74/12.89 tff(168,plain,
% 19.74/12.89 ((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) <=> (intersection(B!4, intersection(C!3, D!2)) = intersection(intersection(B!4, C!3), D!2))),
% 19.74/12.89 inference(monotonicity,[status(thm)],[167, 166])).
% 19.74/12.89 tff(169,plain,
% 19.74/12.89 ((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) <=> (intersection(intersection(B!4, C!3), D!2) = intersection(B!4, intersection(C!3, D!2)))),
% 19.74/12.89 inference(transitivity,[status(thm)],[168, 163])).
% 19.74/12.89 tff(170,plain,
% 19.74/12.89 ((intersection(intersection(B!4, C!3), D!2) = intersection(B!4, intersection(C!3, D!2))) <=> (intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.89 inference(symmetry,[status(thm)],[169])).
% 19.74/12.89 tff(171,plain,
% 19.74/12.89 ((~(intersection(intersection(B!4, C!3), D!2) = intersection(B!4, intersection(C!3, D!2)))) <=> (~(intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.89 inference(monotonicity,[status(thm)],[170])).
% 19.74/12.89 tff(172,plain,
% 19.74/12.89 ((~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))) <=> (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D))))),
% 19.74/12.89 inference(rewrite,[status(thm)],[])).
% 19.74/12.89 tff(173,axiom,(~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_associativity_of_intersection')).
% 19.74/12.89 tff(174,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[173, 172])).
% 19.74/12.89 tff(175,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[174, 172])).
% 19.74/12.89 tff(176,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[175, 172])).
% 19.74/12.89 tff(177,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[176, 172])).
% 19.74/12.89 tff(178,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[177, 172])).
% 19.74/12.89 tff(179,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[178, 172])).
% 19.74/12.89 tff(180,plain,
% 19.74/12.89 (~![B: $i, C: $i, D: $i] : (intersection(intersection(B, C), D) = intersection(B, intersection(C, D)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[179, 172])).
% 19.74/12.89 tff(181,plain,(
% 19.74/12.89 ~(intersection(intersection(B!4, C!3), D!2) = intersection(B!4, intersection(C!3, D!2)))),
% 19.74/12.89 inference(skolemize,[status(sab)],[180])).
% 19.74/12.89 tff(182,plain,
% 19.74/12.89 (~(intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.89 inference(modus_ponens,[status(thm)],[181, 171])).
% 19.74/12.89 tff(183,plain,
% 19.74/12.89 ((~((intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))) | (intersection(intersection(C!3, D!2), B!4) = intersection(D!2, intersection(B!4, C!3))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(184,plain,
% 19.74/12.89 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.89 inference(unit_resolution,[status(thm)],[183, 182, 162])).
% 19.74/12.89 tff(185,plain,
% 19.74/12.89 ((~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4)) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.74/12.89 inference(tautology,[status(thm)],[])).
% 19.74/12.89 tff(186,plain,
% 19.74/12.89 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4)) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[185, 184])).
% 19.81/12.90 tff(187,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[186, 158])).
% 19.81/12.90 tff(188,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(modus_ponens,[status(thm)],[187, 157])).
% 19.81/12.90 tff(189,plain,
% 19.81/12.90 (((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(190,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[189, 158])).
% 19.81/12.90 tff(191,plain,
% 19.81/12.90 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))),
% 19.81/12.90 inference(quant_inst,[status(thm)],[])).
% 19.81/12.90 tff(192,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[191, 10])).
% 19.81/12.90 tff(193,plain,
% 19.81/12.90 ((~(member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))) | (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(194,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))) | (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[193, 192])).
% 19.81/12.90 tff(195,plain,
% 19.81/12.90 (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[194, 190])).
% 19.81/12.90 tff(196,plain,
% 19.81/12.90 ($false),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[195, 188])).
% 19.81/12.90 tff(197,plain,(member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))), inference(lemma,lemma(discharge,[]))).
% 19.81/12.90 tff(198,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))))),
% 19.81/12.90 inference(monotonicity,[status(thm)],[157])).
% 19.81/12.90 tff(199,plain,
% 19.81/12.90 ((~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(200,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[199, 184])).
% 19.81/12.90 tff(201,plain,
% 19.81/12.90 (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, D!2), B!4))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[200, 197])).
% 19.81/12.90 tff(202,plain,
% 19.81/12.90 (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(modus_ponens,[status(thm)],[201, 198])).
% 19.81/12.90 tff(203,plain,
% 19.81/12.90 ((~(member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))))) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(204,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(B!4, intersection(D!2, intersection(B!4, C!3)))) | ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[203, 192])).
% 19.81/12.90 tff(205,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[204, 202])).
% 19.81/12.90 tff(206,plain,
% 19.81/12.90 ((~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(207,plain,
% 19.81/12.90 (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[206, 205, 197])).
% 19.81/12.90 tff(208,plain,
% 19.81/12.90 (((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4))) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(209,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[208, 207])).
% 19.81/12.90 tff(210,plain,
% 19.81/12.90 (intersection(intersection(C!3, B!4), D!2) = intersection(intersection(B!4, C!3), D!2)),
% 19.81/12.90 inference(monotonicity,[status(thm)],[26])).
% 19.81/12.90 tff(211,plain,
% 19.81/12.90 (intersection(intersection(C!3, B!4), D!2) = intersection(D!2, intersection(B!4, C!3))),
% 19.81/12.90 inference(transitivity,[status(thm)],[210, 165])).
% 19.81/12.90 tff(212,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3)))),
% 19.81/12.90 inference(monotonicity,[status(thm)],[211])).
% 19.81/12.90 tff(213,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(D!2, intersection(B!4, C!3))) <=> member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2))),
% 19.81/12.90 inference(symmetry,[status(thm)],[212])).
% 19.81/12.90 tff(214,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2))),
% 19.81/12.90 inference(modus_ponens,[status(thm)],[197, 213])).
% 19.81/12.90 tff(215,plain,
% 19.81/12.90 (((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))))),
% 19.81/12.90 inference(rewrite,[status(thm)],[])).
% 19.81/12.90 tff(216,plain,
% 19.81/12.90 ((member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2))))) <=> (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))),
% 19.81/12.90 inference(rewrite,[status(thm)],[])).
% 19.81/12.90 tff(217,plain,
% 19.81/12.90 (((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))))),
% 19.81/12.90 inference(monotonicity,[status(thm)],[216])).
% 19.81/12.90 tff(218,plain,
% 19.81/12.90 (((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)))))) <=> ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))))),
% 19.81/12.90 inference(transitivity,[status(thm)],[217, 215])).
% 19.81/12.90 tff(219,plain,
% 19.81/12.90 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)))))),
% 19.81/12.90 inference(quant_inst,[status(thm)],[])).
% 19.81/12.90 tff(220,plain,
% 19.81/12.90 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))),
% 19.81/12.90 inference(modus_ponens,[status(thm)],[219, 218])).
% 19.81/12.90 tff(221,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[220, 10])).
% 19.81/12.90 tff(222,plain,
% 19.81/12.90 ((~(member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2))) | (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(223,plain,
% 19.81/12.90 ((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(intersection(C!3, B!4), D!2))) | (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[222, 221])).
% 19.81/12.90 tff(224,plain,
% 19.81/12.90 (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[223, 214])).
% 19.81/12.90 tff(225,plain,
% 19.81/12.90 (((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), D!2)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)))) | member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))),
% 19.81/12.90 inference(tautology,[status(thm)],[])).
% 19.81/12.90 tff(226,plain,
% 19.81/12.90 (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))),
% 19.81/12.90 inference(unit_resolution,[status(thm)],[225, 224])).
% 19.81/12.90 tff(227,plain,
% 19.81/12.90 ((~(member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)))))) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4))) | (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4))))),
% 19.81/12.91 inference(tautology,[status(thm)],[])).
% 19.81/12.91 tff(228,plain,
% 19.81/12.91 (~(member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)))))),
% 19.81/12.91 inference(unit_resolution,[status(thm)],[227, 226, 209])).
% 19.81/12.91 tff(229,plain,
% 19.81/12.91 ((~![B: $i, C: $i, D: $i] : (member(D, intersection(B, C)) <=> (~((~member(D, B)) | (~member(D, C)))))) | (member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), intersection(C!3, B!4)) <=> (~((~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), C!3)) | (~member(tptp_fun_D_1(intersection(D!2, intersection(B!4, C!3)), intersection(intersection(C!3, D!2), B!4)), B!4)))))),
% 19.81/12.91 inference(quant_inst,[status(thm)],[])).
% 19.81/12.91 tff(230,plain,
% 19.81/12.91 ($false),
% 19.81/12.91 inference(unit_resolution,[status(thm)],[229, 10, 228])).
% 19.81/12.91 % SZS output end Proof
%------------------------------------------------------------------------------