TSTP Solution File: SYN332+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 : 600s
% DateTime : Thu Jul 21 08:17:24 EDT 2022
% Result : Theorem 31.12s 30.49s
% Output : Proof 31.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN332+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 04:26:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 31.12/30.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.12/30.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.12/30.50
% 31.12/30.50 %-----------------------------------------------------
% 31.12/30.50 fof(church_46_14_4, conjecture, ? [_34965, _34968] : ! [_34976] : ((big_f(_34965, _34968) & big_f(_34968, _34965) <~> big_f(_34965, _34976)) => (big_f(_34965, _34976) <=> big_f(_34976, _34965)) => (big_f(_34965, _34976) <=> big_f(_34968, _34976)) => (big_f(_34968, _34965) => big_f(_34965, _34968) <=> big_f(_34976, _34976)) => ((big_f(_34965, _34968) <=> big_f(_34968, _34965)) <=> big_f(_34976, _34968))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', church_46_14_4)).
% 31.12/30.50
% 31.12/30.50 cnf(1, plain, [-(7 ^ [_3362, _3243]), big_f(_3243, _3362)], clausify(church_46_14_4)).
% 31.12/30.50 cnf(2, plain, [-(7 ^ [_3362, _3243]), -(big_f(_3362, _3243))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(3, plain, [-(6 ^ [_3362, _3243]), big_f(_3362, _3243)], clausify(church_46_14_4)).
% 31.12/30.50 cnf(4, plain, [-(6 ^ [_3362, _3243]), -(big_f(_3243, _3362))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(5, plain, [-(8 ^ [_3362, _3243]), 6 ^ [_3362, _3243], 7 ^ [_3362, _3243]], clausify(church_46_14_4)).
% 31.12/30.50 cnf(6, plain, [-(8 ^ [_3362, _3243]), -(big_f(1 ^ [_3362, _3243], _3362))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(7, plain, [-(5 ^ [_3362, _3243]), -(big_f(_3243, _3362)), big_f(_3362, _3243)], clausify(church_46_14_4)).
% 31.12/30.50 cnf(8, plain, [-(5 ^ [_3362, _3243]), big_f(1 ^ [_3362, _3243], _3362)], clausify(church_46_14_4)).
% 31.12/30.50 cnf(9, plain, [-(3 ^ [_3362, _3243]), -(big_f(_3243, 1 ^ [_3362, _3243]))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(10, plain, [-(2 ^ [_3362, _3243]), big_f(_3243, 1 ^ [_3362, _3243])], clausify(church_46_14_4)).
% 31.12/30.50 cnf(11, plain, [-(2 ^ [_3362, _3243]), -(big_f(_3362, _3243))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(12, plain, [-(2 ^ [_3362, _3243]), -(big_f(_3243, _3362))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(13, plain, [2 ^ [_3362, _3243], 3 ^ [_3362, _3243]], clausify(church_46_14_4)).
% 31.12/30.50 cnf(14, plain, [big_f(_3243, 1 ^ [_3362, _3243]), -(big_f(1 ^ [_3362, _3243], _3243))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(15, plain, [-(big_f(_3243, 1 ^ [_3362, _3243])), big_f(1 ^ [_3362, _3243], _3243)], clausify(church_46_14_4)).
% 31.12/30.50 cnf(16, plain, [big_f(_3243, 1 ^ [_3362, _3243]), -(big_f(_3362, 1 ^ [_3362, _3243]))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(17, plain, [-(big_f(_3243, 1 ^ [_3362, _3243])), big_f(_3362, 1 ^ [_3362, _3243])], clausify(church_46_14_4)).
% 31.12/30.50 cnf(18, plain, [big_f(1 ^ [_3362, _3243], 1 ^ [_3362, _3243]), big_f(_3362, _3243), -(big_f(_3243, _3362))], clausify(church_46_14_4)).
% 31.12/30.50 cnf(19, plain, [8 ^ [_3362, _3243], 5 ^ [_3362, _3243]], clausify(church_46_14_4)).
% 31.12/30.50
% 31.12/30.50 cnf('1',plain,[2 ^ [_6927, 1 ^ [_6927, _6927]], 3 ^ [_6927, 1 ^ [_6927, _6927]]],start(13,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1',plain,[-(2 ^ [_6927, 1 ^ [_6927, _6927]]), big_f(1 ^ [_6927, _6927], 1 ^ [_6927, 1 ^ [_6927, _6927]])],extension(10,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1.1',plain,[-(big_f(1 ^ [_6927, _6927], 1 ^ [_6927, 1 ^ [_6927, _6927]])), big_f(_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]])],extension(17,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1',plain,[-(big_f(_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]])), big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]), big_f(1 ^ [_6927, 1 ^ [_6927, _6927]], _6927)],extension(18,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927])), -(7 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]])],extension(2,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1',plain,[7 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]], -(8 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]), 6 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]],extension(5,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1',plain,[8 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]], 5 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]],extension(19,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1.1',plain,[-(5 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]), big_f(1 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927])],extension(8,bind([[_3243, _3362], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927])), big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]])],extension(14,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]])), -(3 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]])],extension(9,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1.1.1.1.1',plain,[3 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]], 2 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]],extension(13,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1.1.1.1.1.1',plain,[-(2 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]), -(big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]))],extension(11,bind([[_3362, _3243], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.1.1.1.1.1.1.1',plain,[big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927])],reduction('1.1.1.1')).
% 31.12/30.50 cnf('1.1.1.1.1.1.2',plain,[-(6 ^ [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]), -(big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]))],extension(4,bind([[_3243, _3362], [1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.1.1.2.1',plain,[big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927], 1 ^ [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927])],reduction('1.1.1.1')).
% 31.12/30.50 cnf('1.1.1.1.2',plain,[-(big_f(1 ^ [_6927, 1 ^ [_6927, _6927]], _6927)), -(8 ^ [_6927, 1 ^ [_6927, _6927]])],extension(6,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1',plain,[8 ^ [_6927, 1 ^ [_6927, _6927]], 5 ^ [_6927, 1 ^ [_6927, _6927]]],extension(19,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1',plain,[-(5 ^ [_6927, 1 ^ [_6927, _6927]]), -(big_f(1 ^ [_6927, _6927], _6927)), big_f(_6927, 1 ^ [_6927, _6927])],extension(7,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1',plain,[big_f(1 ^ [_6927, _6927], _6927), -(5 ^ [_6927, _6927])],extension(8,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1',plain,[5 ^ [_6927, _6927], 8 ^ [_6927, _6927]],extension(19,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1',plain,[-(8 ^ [_6927, _6927]), 6 ^ [_6927, _6927], 7 ^ [_6927, _6927]],extension(5,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1.1',plain,[-(6 ^ [_6927, _6927]), big_f(_6927, _6927)],extension(3,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1.1.1',plain,[-(big_f(_6927, _6927)), -(6 ^ [_6927, _6927])],extension(4,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1.1.1.1',plain,[6 ^ [_6927, _6927]],reduction('1.1.1.1.2.1.1.1.1.1')).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1.2',plain,[-(7 ^ [_6927, _6927]), big_f(_6927, _6927)],extension(1,bind([[_3243, _3362], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1.2.1',plain,[-(big_f(_6927, _6927)), -(7 ^ [_6927, _6927])],extension(2,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.1.1.1.2.1.1',plain,[7 ^ [_6927, _6927]],reduction('1.1.1.1.2.1.1.1.1.1')).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2',plain,[-(big_f(_6927, 1 ^ [_6927, _6927])), -(6 ^ [1 ^ [_6927, _6927], _6927])],extension(4,bind([[_3362, _3243], [1 ^ [_6927, _6927], _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1',plain,[6 ^ [1 ^ [_6927, _6927], _6927], -(8 ^ [1 ^ [_6927, _6927], _6927]), 7 ^ [1 ^ [_6927, _6927], _6927]],extension(5,bind([[_3362, _3243], [1 ^ [_6927, _6927], _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.1',plain,[8 ^ [1 ^ [_6927, _6927], _6927], 5 ^ [1 ^ [_6927, _6927], _6927]],extension(19,bind([[_3362, _3243], [1 ^ [_6927, _6927], _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.1.1',plain,[-(5 ^ [1 ^ [_6927, _6927], _6927]), -(big_f(_6927, 1 ^ [_6927, _6927])), big_f(1 ^ [_6927, _6927], _6927)],extension(7,bind([[_3362, _3243], [1 ^ [_6927, _6927], _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.1.1.1',plain,[big_f(_6927, 1 ^ [_6927, _6927])],reduction('1.1.1.1.2.1.1')).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.1.1.2',plain,[-(big_f(1 ^ [_6927, _6927], _6927)), -(2 ^ [_6927, 1 ^ [_6927, _6927]])],extension(12,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.1.1.2.1',plain,[2 ^ [_6927, 1 ^ [_6927, _6927]]],reduction('1')).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.2',plain,[-(7 ^ [1 ^ [_6927, _6927], _6927]), -(big_f(1 ^ [_6927, _6927], _6927))],extension(2,bind([[_3362, _3243], [1 ^ [_6927, _6927], _6927]]))).
% 31.12/30.50 cnf('1.1.1.1.2.1.1.2.1.2.1',plain,[big_f(1 ^ [_6927, _6927], _6927)],lemmata('1.1.1.1.2.1.1')).
% 31.12/30.50 cnf('1.2',plain,[-(3 ^ [_6927, 1 ^ [_6927, _6927]]), -(big_f(1 ^ [_6927, _6927], 1 ^ [_6927, 1 ^ [_6927, _6927]]))],extension(9,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1',plain,[big_f(1 ^ [_6927, _6927], 1 ^ [_6927, 1 ^ [_6927, _6927]]), -(big_f(_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]))],extension(16,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1',plain,[big_f(_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]), big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]), -(big_f(1 ^ [_6927, 1 ^ [_6927, _6927]], _6927))],extension(18,bind([[_3243, _3362], [1 ^ [_6927, 1 ^ [_6927, _6927]], _6927]]))).
% 31.12/30.50 cnf('1.2.1.1.1',plain,[-(big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]])), -(7 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]])],extension(2,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1',plain,[7 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]], -(8 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]), 6 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]],extension(5,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1',plain,[8 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]], 5 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]],extension(19,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1.1',plain,[-(5 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]), big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]])],extension(8,bind([[_3243, _3362], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]])), big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]])],extension(14,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]])), -(3 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]])],extension(9,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1.1.1.1.1',plain,[3 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]], 2 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]],extension(13,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1.1.1.1.1.1',plain,[-(2 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]), -(big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]))],extension(11,bind([[_3362, _3243], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.1.1.1.1.1.1.1',plain,[big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]])],reduction('1.2.1.1')).
% 31.12/30.50 cnf('1.2.1.1.1.1.2',plain,[-(6 ^ [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]), -(big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]))],extension(4,bind([[_3243, _3362], [1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]]]]))).
% 31.12/30.50 cnf('1.2.1.1.1.1.2.1',plain,[big_f(1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]], 1 ^ [_6927, 1 ^ [_6927, 1 ^ [_6927, _6927]]])],reduction('1.2.1.1')).
% 31.12/30.50 cnf('1.2.1.1.2',plain,[big_f(1 ^ [_6927, 1 ^ [_6927, _6927]], _6927), -(5 ^ [_6927, 1 ^ [_6927, _6927]])],extension(8,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1',plain,[5 ^ [_6927, 1 ^ [_6927, _6927]], 8 ^ [_6927, 1 ^ [_6927, _6927]]],extension(19,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1',plain,[-(8 ^ [_6927, 1 ^ [_6927, _6927]]), 6 ^ [_6927, 1 ^ [_6927, _6927]], 7 ^ [_6927, 1 ^ [_6927, _6927]]],extension(5,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.1',plain,[-(6 ^ [_6927, 1 ^ [_6927, _6927]]), big_f(_6927, 1 ^ [_6927, _6927])],extension(3,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.1.1',plain,[-(big_f(_6927, 1 ^ [_6927, _6927])), big_f(1 ^ [_6927, _6927], _6927)],extension(15,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.1.1.1',plain,[-(big_f(1 ^ [_6927, _6927], _6927)), -(6 ^ [_6927, 1 ^ [_6927, _6927]])],extension(4,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.1.1.1.1',plain,[6 ^ [_6927, 1 ^ [_6927, _6927]]],reduction('1.2.1.1.2.1.1')).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.2',plain,[-(7 ^ [_6927, 1 ^ [_6927, _6927]]), big_f(1 ^ [_6927, _6927], _6927)],extension(1,bind([[_3243, _3362], [1 ^ [_6927, _6927], _6927]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.2.1',plain,[-(big_f(1 ^ [_6927, _6927], _6927)), big_f(_6927, 1 ^ [_6927, _6927])],extension(14,bind([[_3362, _3243], [_6927, _6927]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.2.1.1',plain,[-(big_f(_6927, 1 ^ [_6927, _6927])), -(7 ^ [_6927, 1 ^ [_6927, _6927]])],extension(2,bind([[_3362, _3243], [_6927, 1 ^ [_6927, _6927]]]))).
% 31.12/30.50 cnf('1.2.1.1.2.1.1.2.1.1.1',plain,[7 ^ [_6927, 1 ^ [_6927, _6927]]],reduction('1.2.1.1.2.1.1')).
% 31.12/30.50 %-----------------------------------------------------
% 31.12/30.50
% 31.12/30.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------