TSTP Solution File: SWV225+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV225+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 : Thu Sep 29 15:10:27 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV225+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 01:46:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 % SZS output start Proof
% 0.20/0.44 tff(tptp_fun_E_14_type, type, (
% 0.20/0.44 tptp_fun_E_14: $i)).
% 0.20/0.44 tff(succ_type, type, (
% 0.20/0.44 succ: $i > $i)).
% 0.20/0.44 tff(tptp_minus_1_type, type, (
% 0.20/0.44 tptp_minus_1: $i)).
% 0.20/0.44 tff(tptp_fun_F_13_type, type, (
% 0.20/0.44 tptp_fun_F_13: $i)).
% 0.20/0.44 tff(leq_type, type, (
% 0.20/0.44 leq: ( $i * $i ) > $o)).
% 0.20/0.44 tff(a_select2_type, type, (
% 0.20/0.44 a_select2: ( $i * $i ) > $i)).
% 0.20/0.44 tff(xinit_noise_type, type, (
% 0.20/0.44 xinit_noise: $i)).
% 0.20/0.44 tff(n3_type, type, (
% 0.20/0.44 n3: $i)).
% 0.20/0.44 tff(n2_type, type, (
% 0.20/0.44 n2: $i)).
% 0.20/0.44 tff(n1_type, type, (
% 0.20/0.44 n1: $i)).
% 0.20/0.44 tff(n5_type, type, (
% 0.20/0.44 n5: $i)).
% 0.20/0.44 tff(n4_type, type, (
% 0.20/0.44 n4: $i)).
% 0.20/0.44 tff(n0_type, type, (
% 0.20/0.44 n0: $i)).
% 0.20/0.44 tff(a_select3_type, type, (
% 0.20/0.44 a_select3: ( $i * $i * $i ) > $i)).
% 0.20/0.44 tff(r_ds1_filter_type, type, (
% 0.20/0.44 r_ds1_filter: $i)).
% 0.20/0.44 tff(q_ds1_filter_type, type, (
% 0.20/0.44 q_ds1_filter: $i)).
% 0.20/0.44 tff(1,plain,
% 0.20/0.44 ((~((~(leq(succ(tptp_minus_1), E!14) & leq(succ(tptp_minus_1), F!13) & leq(E!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (succ(succ(tptp_minus_1)) = E!14) & (succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))))) <=> (~((succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~(leq(succ(tptp_minus_1), E!14) & leq(succ(tptp_minus_1), F!13) & leq(E!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~((~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (succ(succ(tptp_minus_1)) = E!14) & (succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14)))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(2,plain,
% 0.20/0.44 ((~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))))) <=> (~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(3,plain,
% 0.20/0.45 ((~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))) <=> (~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(4,plain,
% 0.20/0.45 ((~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))) <=> (~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(5,plain,
% 0.20/0.46 ((~((![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n5)) & leq(B, n5)) => (a_select3(q_ds1_filter, A, B) = a_select3(q_ds1_filter, B, A))) & ![C: $i, D: $i] : ((((leq(n0, C) & leq(n0, D)) & leq(C, n2)) & leq(D, n2)) => (a_select3(r_ds1_filter, C, D) = a_select3(r_ds1_filter, D, C)))) => ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n5)) & leq(F, n5)) => (((((((((((((((((((((((((((((((((((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F)))) & (~((n0 = E) & (n4 = F)))) & (~((n0 = E) & (n5 = F)))) & (~((n0 = F) & (n4 = E)))) & (~((n0 = F) & (n5 = E)))) & (~((n1 = E) & (n2 = F)))) & (~((n1 = E) & (n3 = F)))) & (~((n1 = E) & (n4 = F)))) & (~((n1 = E) & (n5 = F)))) & (~((n1 = F) & (n2 = E)))) & (~((n1 = F) & (n3 = E)))) & (~((n1 = F) & (n4 = E)))) & (~((n1 = F) & (n5 = E)))) & (~((n2 = E) & (n2 = F)))) & (~((n2 = E) & (n3 = F)))) & (~((n2 = E) & (n4 = F)))) & (~((n2 = E) & (n5 = F)))) & (~((n2 = F) & (n3 = E)))) & (~((n2 = F) & (n4 = E)))) & (~((n2 = F) & (n5 = E)))) & (~((n3 = E) & (n3 = F)))) & (~((n3 = E) & (n4 = F)))) & (~((n3 = E) & (n5 = F)))) & (~((n3 = F) & (n4 = E)))) & (~((n3 = F) & (n5 = E)))) & (~((n4 = E) & (n4 = F)))) & (~((n4 = E) & (n5 = F)))) & (~((n4 = F) & (n5 = E)))) & (~((n5 = E) & (n5 = F)))) & (n1 = E)) & (n1 = F)) & (n2 = F)) & (n3 = E)) => (n0 = a_select2(xinit_noise, n1)))))) <=> (~((~(![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))) | (a_select3(q_ds1_filter, A, B) = a_select3(q_ds1_filter, B, A))) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, n2))) | (a_select3(r_ds1_filter, C, D) = a_select3(r_ds1_filter, D, C))))) | ![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(6,axiom,(~((![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n5)) & leq(B, n5)) => (a_select3(q_ds1_filter, A, B) = a_select3(q_ds1_filter, B, A))) & ![C: $i, D: $i] : ((((leq(n0, C) & leq(n0, D)) & leq(C, n2)) & leq(D, n2)) => (a_select3(r_ds1_filter, C, D) = a_select3(r_ds1_filter, D, C)))) => ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n5)) & leq(F, n5)) => (((((((((((((((((((((((((((((((((((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F)))) & (~((n0 = E) & (n4 = F)))) & (~((n0 = E) & (n5 = F)))) & (~((n0 = F) & (n4 = E)))) & (~((n0 = F) & (n5 = E)))) & (~((n1 = E) & (n2 = F)))) & (~((n1 = E) & (n3 = F)))) & (~((n1 = E) & (n4 = F)))) & (~((n1 = E) & (n5 = F)))) & (~((n1 = F) & (n2 = E)))) & (~((n1 = F) & (n3 = E)))) & (~((n1 = F) & (n4 = E)))) & (~((n1 = F) & (n5 = E)))) & (~((n2 = E) & (n2 = F)))) & (~((n2 = E) & (n3 = F)))) & (~((n2 = E) & (n4 = F)))) & (~((n2 = E) & (n5 = F)))) & (~((n2 = F) & (n3 = E)))) & (~((n2 = F) & (n4 = E)))) & (~((n2 = F) & (n5 = E)))) & (~((n3 = E) & (n3 = F)))) & (~((n3 = E) & (n4 = F)))) & (~((n3 = E) & (n5 = F)))) & (~((n3 = F) & (n4 = E)))) & (~((n3 = F) & (n5 = E)))) & (~((n4 = E) & (n4 = F)))) & (~((n4 = E) & (n5 = F)))) & (~((n4 = F) & (n5 = E)))) & (~((n5 = E) & (n5 = F)))) & (n1 = E)) & (n1 = F)) & (n2 = F)) & (n3 = E)) => (n0 = a_select2(xinit_noise, n1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quaternion_ds1_symm_0561')).
% 0.20/0.47 tff(7,plain,
% 0.20/0.47 (~((~(![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))) | (a_select3(q_ds1_filter, A, B) = a_select3(q_ds1_filter, B, A))) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, n2))) | (a_select3(r_ds1_filter, C, D) = a_select3(r_ds1_filter, D, C))))) | ![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E)))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.47 tff(8,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))),
% 0.20/0.47 inference(or_elim,[status(thm)],[7])).
% 0.20/0.47 tff(9,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.20/0.47 tff(10,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[9, 4])).
% 0.20/0.47 tff(11,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((n0 = a_select2(xinit_noise, n1)) | (~(leq(n0, E) & leq(n0, F) & leq(E, n5) & leq(F, n5))) | (~((~((n0 = E) & (n2 = F))) & (~((n0 = E) & (n3 = F))) & (~((n0 = E) & (n4 = F))) & (~((n0 = E) & (n5 = F))) & (~((n0 = F) & (n4 = E))) & (~((n0 = F) & (n5 = E))) & (~((n1 = E) & (n2 = F))) & (~((n1 = E) & (n3 = F))) & (~((n1 = E) & (n4 = F))) & (~((n1 = E) & (n5 = F))) & (~((n1 = F) & (n2 = E))) & (~((n1 = F) & (n3 = E))) & (~((n1 = F) & (n4 = E))) & (~((n1 = F) & (n5 = E))) & (~((n2 = E) & (n2 = F))) & (~((n2 = E) & (n3 = F))) & (~((n2 = E) & (n4 = F))) & (~((n2 = E) & (n5 = F))) & (~((n2 = F) & (n3 = E))) & (~((n2 = F) & (n4 = E))) & (~((n2 = F) & (n5 = E))) & (~((n3 = E) & (n3 = F))) & (~((n3 = E) & (n4 = F))) & (~((n3 = E) & (n5 = F))) & (~((n3 = F) & (n4 = E))) & (~((n3 = F) & (n5 = E))) & (~((n4 = E) & (n4 = F))) & (~((n4 = E) & (n5 = F))) & (~((n4 = F) & (n5 = E))) & (~((n5 = E) & (n5 = F))) & (n1 = E) & (n1 = F) & (n2 = F) & (n3 = E))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[10, 4])).
% 0.20/0.47 tff(12,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.20/0.47 tff(13,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.20/0.47 tff(14,plain,
% 0.20/0.47 (~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[13, 2])).
% 0.20/0.48 tff(15,plain,
% 0.20/0.48 (~![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(tptp_minus_1) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(tptp_minus_1) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(tptp_minus_1)) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(tptp_minus_1))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(tptp_minus_1)))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F))) & (succ(succ(tptp_minus_1)) = E) & (succ(succ(tptp_minus_1)) = F) & (succ(succ(succ(tptp_minus_1))) = F) & (succ(succ(succ(succ(tptp_minus_1)))) = E))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[14, 2])).
% 0.20/0.48 tff(16,plain,(
% 0.20/0.48 ~((~(leq(succ(tptp_minus_1), E!14) & leq(succ(tptp_minus_1), F!13) & leq(E!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (succ(succ(tptp_minus_1)) = E!14) & (succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))))),
% 0.20/0.48 inference(skolemize,[status(sab)],[15])).
% 0.20/0.48 tff(17,plain,
% 0.20/0.48 (~((succ(tptp_minus_1) = a_select2(xinit_noise, succ(succ(tptp_minus_1)))) | (~(leq(succ(tptp_minus_1), E!14) & leq(succ(tptp_minus_1), F!13) & leq(E!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(F!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~((~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (succ(succ(tptp_minus_1)) = E!14) & (succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[16, 1])).
% 0.20/0.49 tff(18,plain,
% 0.20/0.49 ((~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(tptp_minus_1) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(tptp_minus_1) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(tptp_minus_1)))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = F!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = E!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = F!13))) & (succ(succ(tptp_minus_1)) = E!14) & (succ(succ(tptp_minus_1)) = F!13) & (succ(succ(succ(tptp_minus_1))) = F!13) & (succ(succ(succ(succ(tptp_minus_1)))) = E!14)),
% 0.20/0.50 inference(or_elim,[status(thm)],[17])).
% 0.20/0.50 tff(19,plain,
% 0.20/0.50 (succ(succ(tptp_minus_1)) = E!14),
% 0.20/0.50 inference(and_elim,[status(thm)],[18])).
% 0.20/0.50 tff(20,plain,
% 0.20/0.50 (succ(succ(succ(tptp_minus_1))) = F!13),
% 0.20/0.50 inference(and_elim,[status(thm)],[18])).
% 0.20/0.50 tff(21,plain,
% 0.20/0.50 ((~(~((~(succ(succ(tptp_minus_1)) = E!14)) | (~(succ(succ(succ(tptp_minus_1))) = F!13))))) <=> ((~(succ(succ(tptp_minus_1)) = E!14)) | (~(succ(succ(succ(tptp_minus_1))) = F!13)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(22,plain,
% 0.20/0.50 (((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13)) <=> (~((~(succ(succ(tptp_minus_1)) = E!14)) | (~(succ(succ(succ(tptp_minus_1))) = F!13))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(23,plain,
% 0.20/0.50 ((~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) <=> (~(~((~(succ(succ(tptp_minus_1)) = E!14)) | (~(succ(succ(succ(tptp_minus_1))) = F!13)))))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[22])).
% 0.20/0.50 tff(24,plain,
% 0.20/0.50 ((~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))) <=> ((~(succ(succ(tptp_minus_1)) = E!14)) | (~(succ(succ(succ(tptp_minus_1))) = F!13)))),
% 0.20/0.50 inference(transitivity,[status(thm)],[23, 21])).
% 0.20/0.50 tff(25,plain,
% 0.20/0.50 (~((succ(succ(tptp_minus_1)) = E!14) & (succ(succ(succ(tptp_minus_1))) = F!13))),
% 0.20/0.50 inference(and_elim,[status(thm)],[18])).
% 0.20/0.50 tff(26,plain,
% 0.20/0.50 ((~(succ(succ(tptp_minus_1)) = E!14)) | (~(succ(succ(succ(tptp_minus_1))) = F!13))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.20/0.50 tff(27,plain,
% 0.20/0.50 ($false),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[26, 20, 19])).
% 0.20/0.50 % SZS output end Proof
%------------------------------------------------------------------------------