TSTP Solution File: SYN349+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 08:17:37 EDT 2022

% Result   : Theorem 0.39s 1.41s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN349+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n028.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 : Mon Jul 11 20:15:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.39/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/1.42  
% 0.39/1.42  %-----------------------------------------------------
% 0.39/1.42  fof(church_46_17_5, conjecture, ? [_23039] : ! [_23047] : ? [_23055] : ! [_23063] : ((big_f(_23039, _23063) <=> big_f(_23047, _23063)) => (((big_f(_23039, _23063) <=> big_f(_23063, _23055)) <=> big_f(_23055, _23063)) <=> big_f(_23063, _23047))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', church_46_17_5)).
% 0.39/1.42  
% 0.39/1.42  cnf(1, plain, [-(9 ^ [_3804, _3014]), big_f(_3014, 2 ^ [_3804, _3014])], clausify(church_46_17_5)).
% 0.39/1.42  cnf(2, plain, [-(8 ^ [_3804, _3014]), big_f(2 ^ [_3804, _3014], _3804)], clausify(church_46_17_5)).
% 0.39/1.42  cnf(3, plain, [-(10 ^ [_3804, _3014]), 8 ^ [_3804, _3014], 9 ^ [_3804, _3014]], clausify(church_46_17_5)).
% 0.39/1.42  cnf(4, plain, [-(10 ^ [_3804, _3014]), -(big_f(_3804, 2 ^ [_3804, _3014]))], clausify(church_46_17_5)).
% 0.39/1.42  cnf(5, plain, [-(7 ^ [_3804, _3014]), -(big_f(_3014, 2 ^ [_3804, _3014])), big_f(2 ^ [_3804, _3014], _3804)], clausify(church_46_17_5)).
% 0.39/1.42  cnf(6, plain, [-(7 ^ [_3804, _3014]), big_f(_3804, 2 ^ [_3804, _3014])], clausify(church_46_17_5)).
% 0.39/1.42  cnf(7, plain, [-(11 ^ [_3804, _3014]), 10 ^ [_3804, _3014], 7 ^ [_3804, _3014]], clausify(church_46_17_5)).
% 0.39/1.42  cnf(8, plain, [-(11 ^ [_3804, _3014]), -(big_f(2 ^ [_3804, _3014], 1 ^ [_3014]))], clausify(church_46_17_5)).
% 0.39/1.42  cnf(9, plain, [-(5 ^ [_3804, _3014]), -(big_f(_3014, 2 ^ [_3804, _3014])), big_f(2 ^ [_3804, _3014], _3804)], clausify(church_46_17_5)).
% 0.39/1.42  cnf(10, plain, [-(5 ^ [_3804, _3014]), big_f(_3014, 2 ^ [_3804, _3014]), -(big_f(2 ^ [_3804, _3014], _3804))], clausify(church_46_17_5)).
% 0.39/1.42  cnf(11, plain, [-(4 ^ [_3804, _3014]), -(big_f(2 ^ [_3804, _3014], _3804))], clausify(church_46_17_5)).
% 0.39/1.42  cnf(12, plain, [-(3 ^ [_3804, _3014]), -(big_f(_3014, 2 ^ [_3804, _3014]))], clausify(church_46_17_5)).
% 0.39/1.42  cnf(13, plain, [-(6 ^ [_3804, _3014]), big_f(_3804, 2 ^ [_3804, _3014]), 5 ^ [_3804, _3014]], clausify(church_46_17_5)).
% 0.39/1.42  cnf(14, plain, [-(6 ^ [_3804, _3014]), -(big_f(_3804, 2 ^ [_3804, _3014])), 3 ^ [_3804, _3014], 4 ^ [_3804, _3014]], clausify(church_46_17_5)).
% 0.39/1.42  cnf(15, plain, [-(6 ^ [_3804, _3014]), big_f(2 ^ [_3804, _3014], 1 ^ [_3014])], clausify(church_46_17_5)).
% 0.39/1.42  cnf(16, plain, [big_f(_3014, 2 ^ [_3804, _3014]), -(big_f(1 ^ [_3014], 2 ^ [_3804, _3014]))], clausify(church_46_17_5)).
% 0.39/1.42  cnf(17, plain, [-(big_f(_3014, 2 ^ [_3804, _3014])), big_f(1 ^ [_3014], 2 ^ [_3804, _3014])], clausify(church_46_17_5)).
% 0.39/1.42  cnf(18, plain, [11 ^ [_3804, _3014], 6 ^ [_3804, _3014]], clausify(church_46_17_5)).
% 0.39/1.42  
% 0.39/1.42  cnf('1',plain,[11 ^ [1 ^ [_6203], _6203], 6 ^ [1 ^ [_6203], _6203]],start(18,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1',plain,[-(11 ^ [1 ^ [_6203], _6203]), 10 ^ [1 ^ [_6203], _6203], 7 ^ [1 ^ [_6203], _6203]],extension(7,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.1',plain,[-(10 ^ [1 ^ [_6203], _6203]), 8 ^ [1 ^ [_6203], _6203], 9 ^ [1 ^ [_6203], _6203]],extension(3,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.1.1',plain,[-(8 ^ [1 ^ [_6203], _6203]), big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203])],extension(2,bind([[_3014, _3804], [_6203, 1 ^ [_6203]]]))).
% 0.39/1.42  cnf('1.1.1.1.1',plain,[-(big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203])), -(11 ^ [1 ^ [_6203], _6203])],extension(8,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.1.1.1.1',plain,[11 ^ [1 ^ [_6203], _6203]],reduction('1')).
% 0.39/1.42  cnf('1.1.1.2',plain,[-(9 ^ [1 ^ [_6203], _6203]), big_f(_6203, 2 ^ [1 ^ [_6203], _6203])],extension(1,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.1.2.1',plain,[-(big_f(_6203, 2 ^ [1 ^ [_6203], _6203])), big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203])],extension(17,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.1.2.1.1',plain,[-(big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203])), -(10 ^ [1 ^ [_6203], _6203])],extension(4,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.1.2.1.1.1',plain,[10 ^ [1 ^ [_6203], _6203]],reduction('1.1')).
% 0.39/1.42  cnf('1.1.2',plain,[-(7 ^ [1 ^ [_6203], _6203]), -(big_f(_6203, 2 ^ [1 ^ [_6203], _6203])), big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203])],extension(5,bind([[_3014, _3804], [_6203, 1 ^ [_6203]]]))).
% 0.39/1.42  cnf('1.1.2.1',plain,[big_f(_6203, 2 ^ [1 ^ [_6203], _6203]), -(big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203]))],extension(16,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.2.1.1',plain,[big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203]), -(7 ^ [1 ^ [_6203], _6203])],extension(6,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.2.1.1.1',plain,[7 ^ [1 ^ [_6203], _6203]],reduction('1.1')).
% 0.39/1.42  cnf('1.1.2.2',plain,[-(big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203])), -(11 ^ [1 ^ [_6203], _6203])],extension(8,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.1.2.2.1',plain,[11 ^ [1 ^ [_6203], _6203]],reduction('1')).
% 0.39/1.42  cnf('1.2',plain,[-(6 ^ [1 ^ [_6203], _6203]), big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203]), 5 ^ [1 ^ [_6203], _6203]],extension(13,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.1',plain,[-(big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203])), -(6 ^ [1 ^ [_6203], _6203]), 3 ^ [1 ^ [_6203], _6203], 4 ^ [1 ^ [_6203], _6203]],extension(14,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.1.1',plain,[6 ^ [1 ^ [_6203], _6203]],reduction('1')).
% 0.39/1.42  cnf('1.2.1.2',plain,[-(3 ^ [1 ^ [_6203], _6203]), -(big_f(_6203, 2 ^ [1 ^ [_6203], _6203]))],extension(12,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.1.2.1',plain,[big_f(_6203, 2 ^ [1 ^ [_6203], _6203]), -(big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203]))],extension(16,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.1.2.1.1',plain,[big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203])],reduction('1.2')).
% 0.39/1.42  cnf('1.2.1.3',plain,[-(4 ^ [1 ^ [_6203], _6203]), -(big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203]))],extension(11,bind([[_3014, _3804], [_6203, 1 ^ [_6203]]]))).
% 0.39/1.42  cnf('1.2.1.3.1',plain,[big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203]), -(6 ^ [1 ^ [_6203], _6203])],extension(15,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.1.3.1.1',plain,[6 ^ [1 ^ [_6203], _6203]],lemmata('1.2.1')).
% 0.39/1.42  cnf('1.2.2',plain,[-(5 ^ [1 ^ [_6203], _6203]), -(big_f(_6203, 2 ^ [1 ^ [_6203], _6203])), big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203])],extension(9,bind([[_3014, _3804], [_6203, 1 ^ [_6203]]]))).
% 0.39/1.42  cnf('1.2.2.1',plain,[big_f(_6203, 2 ^ [1 ^ [_6203], _6203]), -(5 ^ [1 ^ [_6203], _6203]), -(big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203]))],extension(10,bind([[_3014, _3804], [_6203, 1 ^ [_6203]]]))).
% 0.39/1.42  cnf('1.2.2.1.1',plain,[5 ^ [1 ^ [_6203], _6203]],reduction('1.2')).
% 0.39/1.42  cnf('1.2.2.1.2',plain,[big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203]), -(6 ^ [1 ^ [_6203], _6203])],extension(15,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.2.1.2.1',plain,[6 ^ [1 ^ [_6203], _6203]],reduction('1')).
% 0.39/1.42  cnf('1.2.2.2',plain,[-(big_f(2 ^ [1 ^ [_6203], _6203], 1 ^ [_6203])), -(5 ^ [1 ^ [_6203], _6203]), big_f(_6203, 2 ^ [1 ^ [_6203], _6203])],extension(10,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.2.2.1',plain,[5 ^ [1 ^ [_6203], _6203]],reduction('1.2')).
% 0.39/1.42  cnf('1.2.2.2.2',plain,[-(big_f(_6203, 2 ^ [1 ^ [_6203], _6203])), big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203])],extension(17,bind([[_3804, _3014], [1 ^ [_6203], _6203]]))).
% 0.39/1.42  cnf('1.2.2.2.2.1',plain,[-(big_f(1 ^ [_6203], 2 ^ [1 ^ [_6203], _6203]))],lemmata('1.2')).
% 0.39/1.42  %-----------------------------------------------------
% 0.39/1.43  
% 0.39/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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