TSTP Solution File: SWV211+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV211+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 15:10:23 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV211+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 01:58:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 tff(tptp_fun_B_13_type, type, (
% 0.19/0.42 tptp_fun_B_13: $i)).
% 0.19/0.42 tff(succ_type, type, (
% 0.19/0.42 succ: $i > $i)).
% 0.19/0.42 tff(tptp_minus_1_type, type, (
% 0.19/0.42 tptp_minus_1: $i)).
% 0.19/0.42 tff(tptp_fun_A_14_type, type, (
% 0.19/0.42 tptp_fun_A_14: $i)).
% 0.19/0.42 tff(leq_type, type, (
% 0.19/0.42 leq: ( $i * $i ) > $o)).
% 0.19/0.42 tff(times_type, type, (
% 0.19/0.42 times: ( $i * $i ) > $i)).
% 0.19/0.42 tff(a_select2_type, type, (
% 0.19/0.42 a_select2: ( $i * $i ) > $i)).
% 0.19/0.42 tff(sigma_type, type, (
% 0.19/0.42 sigma: $i)).
% 0.19/0.42 tff(divide_type, type, (
% 0.19/0.42 divide: ( $i * $i ) > $i)).
% 0.19/0.42 tff(n400_type, type, (
% 0.19/0.42 n400: $i)).
% 0.19/0.42 tff(n5_type, type, (
% 0.19/0.42 n5: $i)).
% 0.19/0.42 tff(n0_type, type, (
% 0.19/0.42 n0: $i)).
% 0.19/0.42 tff(n1_type, type, (
% 0.19/0.42 n1: $i)).
% 0.19/0.42 tff(n4_type, type, (
% 0.19/0.42 n4: $i)).
% 0.19/0.42 tff(n3_type, type, (
% 0.19/0.42 n3: $i)).
% 0.19/0.42 tff(n2_type, type, (
% 0.19/0.42 n2: $i)).
% 0.19/0.42 tff(1,plain,
% 0.19/0.42 ((~((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (succ(tptp_minus_1) = A!14) & (succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) | (~(leq(succ(tptp_minus_1), A!14) & leq(succ(tptp_minus_1), B!13) & leq(A!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) <=> (~((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (succ(tptp_minus_1) = A!14) & (succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) | (~(leq(succ(tptp_minus_1), A!14) & leq(succ(tptp_minus_1), B!13) & leq(A!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B!13, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 ((~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) <=> (~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 ((~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))))) <=> (~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(4,plain,
% 0.19/0.44 ((~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))))) <=> (~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(5,plain,
% 0.19/0.44 ((~![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n5)) & leq(B, n5)) => (((((((((((((((((((((((((((((((((((((((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B)))) & (~((n0 = A) & (n3 = B)))) & (~((n0 = A) & (n4 = B)))) & (~((n0 = A) & (n5 = B)))) & (~((n0 = B) & (n1 = A)))) & (~((n0 = B) & (n2 = A)))) & (~((n0 = B) & (n3 = A)))) & (~((n0 = B) & (n4 = A)))) & (~((n0 = B) & (n5 = A)))) & (~((n1 = A) & (n1 = B)))) & (~((n1 = A) & (n2 = B)))) & (~((n1 = A) & (n3 = B)))) & (~((n1 = A) & (n4 = B)))) & (~((n1 = A) & (n5 = B)))) & (~((n1 = B) & (n2 = A)))) & (~((n1 = B) & (n3 = A)))) & (~((n1 = B) & (n4 = A)))) & (~((n1 = B) & (n5 = A)))) & (~((n2 = A) & (n2 = B)))) & (~((n2 = A) & (n3 = B)))) & (~((n2 = A) & (n4 = B)))) & (~((n2 = A) & (n5 = B)))) & (~((n2 = B) & (n3 = A)))) & (~((n2 = B) & (n4 = A)))) & (~((n2 = B) & (n5 = A)))) & (~((n3 = A) & (n3 = B)))) & (~((n3 = A) & (n4 = B)))) & (~((n3 = A) & (n5 = B)))) & (~((n3 = B) & (n4 = A)))) & (~((n3 = B) & (n5 = A)))) & (~((n4 = A) & (n4 = B)))) & (~((n4 = A) & (n5 = B)))) & (~((n4 = B) & (n5 = A)))) & (~((n5 = A) & (n5 = B)))) & (n0 = A)) & (n0 = B)) & (n1 = A)) => (n0 = times(divide(n1, n400), a_select2(sigma, n0)))))) <=> (~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5)))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(6,axiom,(~![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n5)) & leq(B, n5)) => (((((((((((((((((((((((((((((((((((((((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B)))) & (~((n0 = A) & (n3 = B)))) & (~((n0 = A) & (n4 = B)))) & (~((n0 = A) & (n5 = B)))) & (~((n0 = B) & (n1 = A)))) & (~((n0 = B) & (n2 = A)))) & (~((n0 = B) & (n3 = A)))) & (~((n0 = B) & (n4 = A)))) & (~((n0 = B) & (n5 = A)))) & (~((n1 = A) & (n1 = B)))) & (~((n1 = A) & (n2 = B)))) & (~((n1 = A) & (n3 = B)))) & (~((n1 = A) & (n4 = B)))) & (~((n1 = A) & (n5 = B)))) & (~((n1 = B) & (n2 = A)))) & (~((n1 = B) & (n3 = A)))) & (~((n1 = B) & (n4 = A)))) & (~((n1 = B) & (n5 = A)))) & (~((n2 = A) & (n2 = B)))) & (~((n2 = A) & (n3 = B)))) & (~((n2 = A) & (n4 = B)))) & (~((n2 = A) & (n5 = B)))) & (~((n2 = B) & (n3 = A)))) & (~((n2 = B) & (n4 = A)))) & (~((n2 = B) & (n5 = A)))) & (~((n3 = A) & (n3 = B)))) & (~((n3 = A) & (n4 = B)))) & (~((n3 = A) & (n5 = B)))) & (~((n3 = B) & (n4 = A)))) & (~((n3 = B) & (n5 = A)))) & (~((n4 = A) & (n4 = B)))) & (~((n4 = A) & (n5 = B)))) & (~((n4 = B) & (n5 = A)))) & (~((n5 = A) & (n5 = B)))) & (n0 = A)) & (n0 = B)) & (n1 = A)) => (n0 = times(divide(n1, n400), a_select2(sigma, n0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quaternion_ds1_symm_0001')).
% 0.19/0.45 tff(7,plain,
% 0.19/0.45 (~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.45 tff(8,plain,
% 0.19/0.45 (~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[7, 4])).
% 0.19/0.45 tff(9,plain,
% 0.19/0.45 (~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.19/0.45 tff(10,plain,
% 0.19/0.45 (~![A: $i, B: $i] : ((n0 = times(divide(n1, n400), a_select2(sigma, n0))) | (~((~((n0 = A) & (n1 = B))) & (~((n0 = A) & (n2 = B))) & (~((n0 = A) & (n3 = B))) & (~((n0 = A) & (n4 = B))) & (~((n0 = A) & (n5 = B))) & (~((n0 = B) & (n1 = A))) & (~((n0 = B) & (n2 = A))) & (~((n0 = B) & (n3 = A))) & (~((n0 = B) & (n4 = A))) & (~((n0 = B) & (n5 = A))) & (~((n1 = A) & (n1 = B))) & (~((n1 = A) & (n2 = B))) & (~((n1 = A) & (n3 = B))) & (~((n1 = A) & (n4 = B))) & (~((n1 = A) & (n5 = B))) & (~((n1 = B) & (n2 = A))) & (~((n1 = B) & (n3 = A))) & (~((n1 = B) & (n4 = A))) & (~((n1 = B) & (n5 = A))) & (~((n2 = A) & (n2 = B))) & (~((n2 = A) & (n3 = B))) & (~((n2 = A) & (n4 = B))) & (~((n2 = A) & (n5 = B))) & (~((n2 = B) & (n3 = A))) & (~((n2 = B) & (n4 = A))) & (~((n2 = B) & (n5 = A))) & (~((n3 = A) & (n3 = B))) & (~((n3 = A) & (n4 = B))) & (~((n3 = A) & (n5 = B))) & (~((n3 = B) & (n4 = A))) & (~((n3 = B) & (n5 = A))) & (~((n4 = A) & (n4 = B))) & (~((n4 = A) & (n5 = B))) & (~((n4 = B) & (n5 = A))) & (~((n5 = A) & (n5 = B))) & (n0 = A) & (n0 = B) & (n1 = A))) | (~(leq(n0, A) & leq(n0, B) & leq(A, n5) & leq(B, n5))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[9, 4])).
% 0.19/0.45 tff(11,plain,
% 0.19/0.45 (~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.46 tff(12,plain,
% 0.19/0.46 (~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[11, 2])).
% 0.19/0.46 tff(13,plain,
% 0.19/0.46 (~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.19/0.46 tff(14,plain,
% 0.19/0.46 (~![A: $i, B: $i] : ((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(tptp_minus_1) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(tptp_minus_1) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(tptp_minus_1)) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(tptp_minus_1)) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(tptp_minus_1))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(tptp_minus_1)) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(tptp_minus_1))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(tptp_minus_1)))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(tptp_minus_1))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(tptp_minus_1)))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B))) & (succ(tptp_minus_1) = A) & (succ(tptp_minus_1) = B) & (succ(succ(tptp_minus_1)) = A))) | (~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[13, 2])).
% 0.19/0.46 tff(15,plain,(
% 0.19/0.46 ~((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (succ(tptp_minus_1) = A!14) & (succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) | (~(leq(succ(tptp_minus_1), A!14) & leq(succ(tptp_minus_1), B!13) & leq(A!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[14])).
% 0.19/0.47 tff(16,plain,
% 0.19/0.47 (~((succ(tptp_minus_1) = times(divide(succ(succ(tptp_minus_1)), n400), a_select2(sigma, succ(tptp_minus_1)))) | (~((~((succ(tptp_minus_1) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (succ(tptp_minus_1) = A!14) & (succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) | (~(leq(succ(tptp_minus_1), A!14) & leq(succ(tptp_minus_1), B!13) & leq(A!14, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(B!13, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[15, 1])).
% 0.19/0.47 tff(17,plain,
% 0.19/0.47 ((~((succ(tptp_minus_1) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(tptp_minus_1) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(tptp_minus_1) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(tptp_minus_1)) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(tptp_minus_1))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(tptp_minus_1)) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(tptp_minus_1))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(tptp_minus_1)))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(tptp_minus_1))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(tptp_minus_1)))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14))) & (~((succ(succ(succ(succ(tptp_minus_1)))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (~((succ(succ(succ(succ(succ(tptp_minus_1))))) = B!13) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14))) & (~((succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = A!14) & (succ(succ(succ(succ(succ(succ(tptp_minus_1)))))) = B!13))) & (succ(tptp_minus_1) = A!14) & (succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14)),
% 0.19/0.47 inference(or_elim,[status(thm)],[16])).
% 0.19/0.47 tff(18,plain,
% 0.19/0.47 (succ(tptp_minus_1) = B!13),
% 0.19/0.47 inference(and_elim,[status(thm)],[17])).
% 0.19/0.47 tff(19,plain,
% 0.19/0.47 (succ(succ(tptp_minus_1)) = A!14),
% 0.19/0.47 inference(and_elim,[status(thm)],[17])).
% 0.19/0.47 tff(20,plain,
% 0.19/0.47 ((~(~((~(succ(tptp_minus_1) = B!13)) | (~(succ(succ(tptp_minus_1)) = A!14))))) <=> ((~(succ(tptp_minus_1) = B!13)) | (~(succ(succ(tptp_minus_1)) = A!14)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(21,plain,
% 0.19/0.47 (((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14)) <=> (~((~(succ(tptp_minus_1) = B!13)) | (~(succ(succ(tptp_minus_1)) = A!14))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(22,plain,
% 0.19/0.47 ((~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) <=> (~(~((~(succ(tptp_minus_1) = B!13)) | (~(succ(succ(tptp_minus_1)) = A!14)))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[21])).
% 0.19/0.47 tff(23,plain,
% 0.19/0.47 ((~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))) <=> ((~(succ(tptp_minus_1) = B!13)) | (~(succ(succ(tptp_minus_1)) = A!14)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[22, 20])).
% 0.19/0.47 tff(24,plain,
% 0.19/0.47 (~((succ(tptp_minus_1) = B!13) & (succ(succ(tptp_minus_1)) = A!14))),
% 0.19/0.47 inference(and_elim,[status(thm)],[17])).
% 0.19/0.47 tff(25,plain,
% 0.19/0.47 ((~(succ(tptp_minus_1) = B!13)) | (~(succ(succ(tptp_minus_1)) = A!14))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.47 tff(26,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[25, 19, 18])).
% 0.19/0.47 % SZS output end Proof
%------------------------------------------------------------------------------