TSTP Solution File: SYN328+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n021.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 08:17:21 EDT 2022

% Result   : Theorem 0.40s 1.41s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n021.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 06:21:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.40/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.42  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/1.42  
% 0.40/1.42  %-----------------------------------------------------
% 0.40/1.42  fof(church_46_12_3, conjecture, ? [_29648] : ! [_29656, _29659] : ((big_f(_29656) => big_g(_29656) <=> big_f(_29648)) => (big_f(_29656) => big_h(_29656) <=> big_g(_29648)) => ((big_f(_29656) => big_g(_29656)) => big_h(_29656) <=> big_h(_29648)) => big_f(_29659) & big_g(_29659) & big_h(_29659)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', church_46_12_3)).
% 0.40/1.42  
% 0.40/1.42  cnf(1, plain, [-(6 ^ [_3121]), big_g(1 ^ [_3121])], clausify(church_46_12_3)).
% 0.40/1.42  cnf(2, plain, [-(6 ^ [_3121]), -(big_f(1 ^ [_3121]))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(3, plain, [-(5 ^ [_3121]), big_f(1 ^ [_3121]), -(big_g(1 ^ [_3121]))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(4, plain, [-(5 ^ [_3121]), big_h(1 ^ [_3121])], clausify(church_46_12_3)).
% 0.40/1.42  cnf(5, plain, [-(4 ^ [_3121]), big_h(1 ^ [_3121])], clausify(church_46_12_3)).
% 0.40/1.42  cnf(6, plain, [-(3 ^ [_3121]), big_g(1 ^ [_3121])], clausify(church_46_12_3)).
% 0.40/1.42  cnf(7, plain, [-(3 ^ [_3121]), -(big_f(1 ^ [_3121]))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(8, plain, [3 ^ [_3121], -(big_f(_3121))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(9, plain, [big_f(_3121), big_f(1 ^ [_3121]), -(big_g(1 ^ [_3121]))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(10, plain, [4 ^ [_3121], -(big_g(_3121))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(11, plain, [big_g(_3121), big_f(1 ^ [_3121]), -(big_h(1 ^ [_3121]))], clausify(church_46_12_3)).
% 0.40/1.42  cnf(12, plain, [big_f(2 ^ [_3121]), big_g(2 ^ [_3121]), big_h(2 ^ [_3121])], clausify(church_46_12_3)).
% 0.40/1.42  cnf(13, plain, [-(big_h(_3121)), 5 ^ [_3121]], clausify(church_46_12_3)).
% 0.40/1.42  cnf(14, plain, [big_h(_3121), 6 ^ [_3121], -(big_h(1 ^ [_3121]))], clausify(church_46_12_3)).
% 0.40/1.42  
% 0.40/1.42  cnf('1',plain,[big_f(2 ^ [_5829]), big_g(2 ^ [_5829]), big_h(2 ^ [_5829])],start(12,bind([[_3121], [_5829]]))).
% 0.40/1.42  cnf('1.1',plain,[-(big_f(2 ^ [_5829])), 3 ^ [2 ^ [_5829]]],extension(8,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.1.1',plain,[-(3 ^ [2 ^ [_5829]]), big_g(1 ^ [2 ^ [_5829]])],extension(6,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.1.1.1',plain,[-(big_g(1 ^ [2 ^ [_5829]])), 4 ^ [1 ^ [2 ^ [_5829]]]],extension(10,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1',plain,[-(4 ^ [1 ^ [2 ^ [_5829]]]), big_h(1 ^ [1 ^ [2 ^ [_5829]]])],extension(5,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1',plain,[-(big_h(1 ^ [1 ^ [2 ^ [_5829]]])), 5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]],extension(13,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1',plain,[-(5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), big_f(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), -(big_g(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]))],extension(3,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])), 3 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]],extension(8,bind([[_3121], [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1',plain,[-(3 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]), big_g(1 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]])],extension(6,bind([[_3121], [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1.1',plain,[-(big_g(1 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]])), -(5 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]), big_f(1 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]])],extension(3,bind([[_3121], [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1.1.1',plain,[5 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]], -(big_h(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]))],extension(13,bind([[_3121], [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1.1.1.1',plain,[big_h(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), -(5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])],extension(4,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1.1.1.1.1',plain,[5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]],reduction('1.1.1.1.1.1')).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1.1.2',plain,[-(big_f(1 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]])), -(3 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]])],extension(7,bind([[_3121], [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.1.1.1.2.1',plain,[3 ^ [1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]]],reduction('1.1.1.1.1.1.1.1')).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2',plain,[big_g(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), -(3 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])],extension(6,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1',plain,[3 ^ [1 ^ [1 ^ [2 ^ [_5829]]]], -(big_f(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(8,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1',plain,[big_f(1 ^ [1 ^ [2 ^ [_5829]]]), big_f(1 ^ [2 ^ [_5829]]), -(big_g(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(9,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1.1',plain,[-(big_f(1 ^ [2 ^ [_5829]])), -(3 ^ [2 ^ [_5829]])],extension(7,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1.1.1',plain,[3 ^ [2 ^ [_5829]]],reduction('1.1')).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1.2',plain,[big_g(1 ^ [1 ^ [2 ^ [_5829]]]), big_f(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), -(big_h(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]))],extension(11,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1.2.1',plain,[-(big_f(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]))],lemmata('1.1.1.1.1.1.1')).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1.2.2',plain,[big_h(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), -(5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])],extension(4,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.1.1.1.1.1.1.2.1.1.2.2.1',plain,[5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]],reduction('1.1.1.1.1.1')).
% 0.40/1.42  cnf('1.2',plain,[-(big_g(2 ^ [_5829])), 4 ^ [2 ^ [_5829]]],extension(10,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1',plain,[-(4 ^ [2 ^ [_5829]]), big_h(1 ^ [2 ^ [_5829]])],extension(5,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1.1',plain,[-(big_h(1 ^ [2 ^ [_5829]])), 5 ^ [1 ^ [2 ^ [_5829]]]],extension(13,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1',plain,[-(5 ^ [1 ^ [2 ^ [_5829]]]), big_f(1 ^ [1 ^ [2 ^ [_5829]]]), -(big_g(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(3,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1',plain,[-(big_f(1 ^ [1 ^ [2 ^ [_5829]]])), 3 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]],extension(8,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1.1',plain,[-(3 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), big_g(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])],extension(6,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1.1.1',plain,[-(big_g(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])), -(5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]), big_f(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])],extension(3,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1.1.1.1',plain,[5 ^ [1 ^ [1 ^ [2 ^ [_5829]]]], -(big_h(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(13,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1.1.1.1.1',plain,[big_h(1 ^ [1 ^ [2 ^ [_5829]]]), -(5 ^ [1 ^ [2 ^ [_5829]]])],extension(4,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1.1.1.1.1.1',plain,[5 ^ [1 ^ [2 ^ [_5829]]]],reduction('1.2.1.1')).
% 0.40/1.42  cnf('1.2.1.1.1.1.1.1.2',plain,[-(big_f(1 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])), -(3 ^ [1 ^ [1 ^ [2 ^ [_5829]]]])],extension(7,bind([[_3121], [1 ^ [1 ^ [2 ^ [_5829]]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.1.1.1.2.1',plain,[3 ^ [1 ^ [1 ^ [2 ^ [_5829]]]]],reduction('1.2.1.1.1.1')).
% 0.40/1.42  cnf('1.2.1.1.1.2',plain,[big_g(1 ^ [1 ^ [2 ^ [_5829]]]), -(3 ^ [1 ^ [2 ^ [_5829]]])],extension(6,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1',plain,[3 ^ [1 ^ [2 ^ [_5829]]], -(big_f(1 ^ [2 ^ [_5829]]))],extension(8,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1',plain,[big_f(1 ^ [2 ^ [_5829]]), -(5 ^ [2 ^ [_5829]]), -(big_g(1 ^ [2 ^ [_5829]]))],extension(3,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1',plain,[5 ^ [2 ^ [_5829]], -(big_h(2 ^ [_5829]))],extension(13,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1.1',plain,[big_h(2 ^ [_5829]), 6 ^ [2 ^ [_5829]], -(big_h(1 ^ [2 ^ [_5829]]))],extension(14,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1.1.1',plain,[-(6 ^ [2 ^ [_5829]]), big_g(1 ^ [2 ^ [_5829]])],extension(1,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1.1.1.1',plain,[-(big_g(1 ^ [2 ^ [_5829]])), big_f(2 ^ [_5829]), big_f(1 ^ [2 ^ [_5829]])],extension(9,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1.1.1.1.1',plain,[-(big_f(2 ^ [_5829]))],lemmata('1')).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1.1.1.1.2',plain,[-(big_f(1 ^ [2 ^ [_5829]]))],reduction('1.2.1.1.1.2.1')).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.1.1.2',plain,[big_h(1 ^ [2 ^ [_5829]])],reduction('1.2.1')).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.2',plain,[big_g(1 ^ [2 ^ [_5829]]), big_f(1 ^ [1 ^ [2 ^ [_5829]]]), -(big_h(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(11,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.2.1',plain,[-(big_f(1 ^ [1 ^ [2 ^ [_5829]]]))],lemmata('1.2.1.1.1')).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.2.2',plain,[big_h(1 ^ [1 ^ [2 ^ [_5829]]]), -(5 ^ [1 ^ [2 ^ [_5829]]])],extension(4,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.2.1.1.1.2.1.1.2.2.1',plain,[5 ^ [1 ^ [2 ^ [_5829]]]],reduction('1.2.1.1')).
% 0.40/1.42  cnf('1.3',plain,[-(big_h(2 ^ [_5829])), 5 ^ [2 ^ [_5829]]],extension(13,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.3.1',plain,[-(5 ^ [2 ^ [_5829]]), big_f(1 ^ [2 ^ [_5829]]), -(big_g(1 ^ [2 ^ [_5829]]))],extension(3,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.3.1.1',plain,[-(big_f(1 ^ [2 ^ [_5829]])), 3 ^ [1 ^ [2 ^ [_5829]]]],extension(8,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.1.1',plain,[-(3 ^ [1 ^ [2 ^ [_5829]]]), big_g(1 ^ [1 ^ [2 ^ [_5829]]])],extension(6,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.1.1.1',plain,[-(big_g(1 ^ [1 ^ [2 ^ [_5829]]])), -(5 ^ [1 ^ [2 ^ [_5829]]]), big_f(1 ^ [1 ^ [2 ^ [_5829]]])],extension(3,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.1.1.1.1',plain,[5 ^ [1 ^ [2 ^ [_5829]]], -(big_h(1 ^ [2 ^ [_5829]]))],extension(13,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.1.1.1.1.1',plain,[big_h(1 ^ [2 ^ [_5829]]), -(5 ^ [2 ^ [_5829]])],extension(4,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.3.1.1.1.1.1.1.1',plain,[5 ^ [2 ^ [_5829]]],reduction('1.3')).
% 0.40/1.42  cnf('1.3.1.1.1.1.2',plain,[-(big_f(1 ^ [1 ^ [2 ^ [_5829]]])), -(3 ^ [1 ^ [2 ^ [_5829]]])],extension(7,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.1.1.1.2.1',plain,[3 ^ [1 ^ [2 ^ [_5829]]]],reduction('1.3.1.1')).
% 0.40/1.42  cnf('1.3.1.2',plain,[big_g(1 ^ [2 ^ [_5829]]), big_f(1 ^ [1 ^ [2 ^ [_5829]]]), -(big_h(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(11,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.1',plain,[-(big_f(1 ^ [1 ^ [2 ^ [_5829]]])), -(6 ^ [1 ^ [2 ^ [_5829]]])],extension(2,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.1.1',plain,[6 ^ [1 ^ [2 ^ [_5829]]], big_h(1 ^ [2 ^ [_5829]]), -(big_h(1 ^ [1 ^ [2 ^ [_5829]]]))],extension(14,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.1.1.1',plain,[-(big_h(1 ^ [2 ^ [_5829]])), big_g(2 ^ [_5829]), big_f(1 ^ [2 ^ [_5829]])],extension(11,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.3.1.2.1.1.1.1',plain,[-(big_g(2 ^ [_5829]))],lemmata('1')).
% 0.40/1.42  cnf('1.3.1.2.1.1.1.2',plain,[-(big_f(1 ^ [2 ^ [_5829]]))],lemmata('1.3.1')).
% 0.40/1.42  cnf('1.3.1.2.1.1.2',plain,[big_h(1 ^ [1 ^ [2 ^ [_5829]]]), -(5 ^ [1 ^ [2 ^ [_5829]]])],extension(4,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.1.1.2.1',plain,[5 ^ [1 ^ [2 ^ [_5829]]], -(big_h(1 ^ [2 ^ [_5829]]))],extension(13,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.1.1.2.1.1',plain,[big_h(1 ^ [2 ^ [_5829]]), -(5 ^ [2 ^ [_5829]])],extension(4,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.3.1.2.1.1.2.1.1.1',plain,[5 ^ [2 ^ [_5829]]],reduction('1.3')).
% 0.40/1.42  cnf('1.3.1.2.2',plain,[big_h(1 ^ [1 ^ [2 ^ [_5829]]]), -(5 ^ [1 ^ [2 ^ [_5829]]])],extension(4,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.2.1',plain,[5 ^ [1 ^ [2 ^ [_5829]]], -(big_h(1 ^ [2 ^ [_5829]]))],extension(13,bind([[_3121], [1 ^ [2 ^ [_5829]]]]))).
% 0.40/1.42  cnf('1.3.1.2.2.1.1',plain,[big_h(1 ^ [2 ^ [_5829]]), -(5 ^ [2 ^ [_5829]])],extension(4,bind([[_3121], [2 ^ [_5829]]]))).
% 0.40/1.42  cnf('1.3.1.2.2.1.1.1',plain,[5 ^ [2 ^ [_5829]]],reduction('1.3')).
% 0.40/1.42  %-----------------------------------------------------
% 0.40/1.43  
% 0.40/1.43  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------