TSTP Solution File: SYN345+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n024.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 08:17:34 EDT 2022

% Result   : Theorem 0.30s 1.39s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN345+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.11  % Command  : leancop_casc.sh %s %d
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Mon Jul 11 18:42:13 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.30/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.30/1.40  
% 0.30/1.40  %-----------------------------------------------------
% 0.30/1.40  fof(church_46_16_4, conjecture, ! [_19325, _19328] : ? [_19336, _19339] : ! [_19347] : (((big_f(_19325, _19328, _19336) => big_f(_19339, _19336, _19347)) => big_f(_19325, _19325, _19328) => big_f(_19325, _19328, _19328)) => ((big_f(_19328, _19336, _19339) => big_f(_19336, _19347, _19347)) => big_f(_19325, _19328, _19328) => big_f(_19325, _19325, _19328)) => big_f(_19336, _19339, _19347) => big_f(_19328, _19328, _19336) & (big_f(_19325, _19325, _19328) <=> big_f(_19325, _19328, _19328))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', church_46_16_4)).
% 0.30/1.40  
% 0.30/1.40  cnf(1, plain, [-(7 ^ [_5536, _5531]), big_f(1 ^ [], 1 ^ [], 2 ^ [])], clausify(church_46_16_4)).
% 0.30/1.40  cnf(2, plain, [-(7 ^ [_5536, _5531]), -(big_f(1 ^ [], 2 ^ [], 2 ^ []))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(3, plain, [-(6 ^ [_5536, _5531]), big_f(1 ^ [], 2 ^ [], 2 ^ [])], clausify(church_46_16_4)).
% 0.30/1.40  cnf(4, plain, [-(6 ^ [_5536, _5531]), -(big_f(1 ^ [], 1 ^ [], 2 ^ []))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(5, plain, [-(5 ^ [_5536, _5531]), big_f(_5531, 3 ^ [_5536, _5531], 3 ^ [_5536, _5531])], clausify(church_46_16_4)).
% 0.30/1.40  cnf(6, plain, [-(5 ^ [_5536, _5531]), -(big_f(2 ^ [], _5531, _5536))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(7, plain, [-(4 ^ [_5536, _5531]), big_f(_5536, _5531, 3 ^ [_5536, _5531])], clausify(church_46_16_4)).
% 0.30/1.40  cnf(8, plain, [-(4 ^ [_5536, _5531]), -(big_f(1 ^ [], 2 ^ [], _5531))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(9, plain, [4 ^ [_5536, _5531], big_f(1 ^ [], 1 ^ [], 2 ^ []), -(big_f(1 ^ [], 2 ^ [], 2 ^ []))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(10, plain, [5 ^ [_5536, _5531], big_f(1 ^ [], 2 ^ [], 2 ^ []), -(big_f(1 ^ [], 1 ^ [], 2 ^ []))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(11, plain, [-(big_f(_5531, _5536, 3 ^ [_5536, _5531]))], clausify(church_46_16_4)).
% 0.30/1.40  cnf(12, plain, [big_f(2 ^ [], 2 ^ [], _5531), 6 ^ [_5536, _5531], 7 ^ [_5536, _5531]], clausify(church_46_16_4)).
% 0.30/1.40  
% 0.30/1.40  cnf('1',plain,[big_f(2 ^ [], 2 ^ [], _6843), 6 ^ [_6855, _6843], 7 ^ [_6855, _6843]],start(12,bind([[_5536, _5531], [_6855, _6843]]))).
% 0.30/1.40  cnf('1.1',plain,[-(big_f(2 ^ [], 2 ^ [], _6843)), -(5 ^ [_6843, 2 ^ []])],extension(6,bind([[_5536, _5531], [_6843, 2 ^ []]]))).
% 0.30/1.40  cnf('1.1.1',plain,[5 ^ [_6843, 2 ^ []], big_f(1 ^ [], 2 ^ [], 2 ^ []), -(big_f(1 ^ [], 1 ^ [], 2 ^ []))],extension(10,bind([[_5536, _5531], [_6843, 2 ^ []]]))).
% 0.30/1.40  cnf('1.1.1.1',plain,[-(big_f(1 ^ [], 2 ^ [], 2 ^ [])), 4 ^ [_6951, _6951], big_f(1 ^ [], 1 ^ [], 2 ^ [])],extension(9,bind([[_5536, _5531], [_6951, _6951]]))).
% 0.30/1.40  cnf('1.1.1.1.1',plain,[-(4 ^ [_6951, _6951]), big_f(_6951, _6951, 3 ^ [_6951, _6951])],extension(7,bind([[_5536, _5531], [_6951, _6951]]))).
% 0.30/1.40  cnf('1.1.1.1.1.1',plain,[-(big_f(_6951, _6951, 3 ^ [_6951, _6951]))],extension(11,bind([[_5536, _5531], [_6951, _6951]]))).
% 0.30/1.40  cnf('1.1.1.1.2',plain,[-(big_f(1 ^ [], 1 ^ [], 2 ^ [])), -(6 ^ [_7034, 3 ^ [2 ^ [], 2 ^ []]])],extension(4,bind([[_5536, _5531], [_7034, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.1.1.1.2.1',plain,[6 ^ [_7034, 3 ^ [2 ^ [], 2 ^ []]], big_f(2 ^ [], 2 ^ [], 3 ^ [2 ^ [], 2 ^ []]), 7 ^ [_7034, 3 ^ [2 ^ [], 2 ^ []]]],extension(12,bind([[_5536, _5531], [_7034, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.1.1.1.2.1.1',plain,[-(big_f(2 ^ [], 2 ^ [], 3 ^ [2 ^ [], 2 ^ []]))],extension(11,bind([[_5536, _5531], [2 ^ [], 2 ^ []]]))).
% 0.30/1.40  cnf('1.1.1.1.2.1.2',plain,[-(7 ^ [_7034, 3 ^ [2 ^ [], 2 ^ []]]), -(big_f(1 ^ [], 2 ^ [], 2 ^ []))],extension(2,bind([[_5536, _5531], [_7034, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.1.1.1.2.1.2.1',plain,[big_f(1 ^ [], 2 ^ [], 2 ^ [])],reduction('1.1.1')).
% 0.30/1.40  cnf('1.1.1.2',plain,[big_f(1 ^ [], 1 ^ [], 2 ^ []), -(7 ^ [_7184, 3 ^ [2 ^ [], 2 ^ []]])],extension(1,bind([[_5536, _5531], [_7184, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.1.1.2.1',plain,[7 ^ [_7184, 3 ^ [2 ^ [], 2 ^ []]], big_f(2 ^ [], 2 ^ [], 3 ^ [2 ^ [], 2 ^ []]), 6 ^ [_7184, 3 ^ [2 ^ [], 2 ^ []]]],extension(12,bind([[_5536, _5531], [_7184, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.1.1.2.1.1',plain,[-(big_f(2 ^ [], 2 ^ [], 3 ^ [2 ^ [], 2 ^ []]))],extension(11,bind([[_5536, _5531], [2 ^ [], 2 ^ []]]))).
% 0.30/1.40  cnf('1.1.1.2.1.2',plain,[-(6 ^ [_7184, 3 ^ [2 ^ [], 2 ^ []]]), big_f(1 ^ [], 2 ^ [], 2 ^ [])],extension(3,bind([[_5536, _5531], [_7184, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.1.1.2.1.2.1',plain,[-(big_f(1 ^ [], 2 ^ [], 2 ^ []))],lemmata('1.1.1')).
% 0.30/1.40  cnf('1.2',plain,[-(6 ^ [_6855, _6843]), big_f(1 ^ [], 2 ^ [], 2 ^ [])],extension(3,bind([[_5536, _5531], [_6855, _6843]]))).
% 0.30/1.40  cnf('1.2.1',plain,[-(big_f(1 ^ [], 2 ^ [], 2 ^ [])), -(7 ^ [_7363, 3 ^ [2 ^ [], 2 ^ []]])],extension(2,bind([[_5536, _5531], [_7363, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.2.1.1',plain,[7 ^ [_7363, 3 ^ [2 ^ [], 2 ^ []]], big_f(2 ^ [], 2 ^ [], 3 ^ [2 ^ [], 2 ^ []]), 6 ^ [_7363, 3 ^ [2 ^ [], 2 ^ []]]],extension(12,bind([[_5536, _5531], [_7363, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.2.1.1.1',plain,[-(big_f(2 ^ [], 2 ^ [], 3 ^ [2 ^ [], 2 ^ []]))],extension(11,bind([[_5536, _5531], [2 ^ [], 2 ^ []]]))).
% 0.30/1.40  cnf('1.2.1.1.2',plain,[-(6 ^ [_7363, 3 ^ [2 ^ [], 2 ^ []]]), -(big_f(1 ^ [], 1 ^ [], 2 ^ []))],extension(4,bind([[_5536, _5531], [_7363, 3 ^ [2 ^ [], 2 ^ []]]]))).
% 0.30/1.40  cnf('1.2.1.1.2.1',plain,[big_f(1 ^ [], 1 ^ [], 2 ^ []), 4 ^ [_7481, 2 ^ []], -(big_f(1 ^ [], 2 ^ [], 2 ^ []))],extension(9,bind([[_5536, _5531], [_7481, 2 ^ []]]))).
% 0.30/1.40  cnf('1.2.1.1.2.1.1',plain,[-(4 ^ [_7481, 2 ^ []]), -(big_f(1 ^ [], 2 ^ [], 2 ^ []))],extension(8,bind([[_5536, _5531], [_7481, 2 ^ []]]))).
% 0.30/1.40  cnf('1.2.1.1.2.1.1.1',plain,[big_f(1 ^ [], 2 ^ [], 2 ^ [])],reduction('1.2')).
% 0.30/1.40  cnf('1.2.1.1.2.1.2',plain,[big_f(1 ^ [], 2 ^ [], 2 ^ [])],reduction('1.2')).
% 0.30/1.40  cnf('1.3',plain,[-(7 ^ [_6855, _6843]), big_f(1 ^ [], 1 ^ [], 2 ^ [])],extension(1,bind([[_5536, _5531], [_6855, _6843]]))).
% 0.30/1.40  cnf('1.3.1',plain,[-(big_f(1 ^ [], 1 ^ [], 2 ^ [])), 5 ^ [_7622, 2 ^ []], big_f(1 ^ [], 2 ^ [], 2 ^ [])],extension(10,bind([[_5536, _5531], [_7622, 2 ^ []]]))).
% 0.30/1.40  cnf('1.3.1.1',plain,[-(5 ^ [_7622, 2 ^ []]), big_f(2 ^ [], 3 ^ [_7622, 2 ^ []], 3 ^ [_7622, 2 ^ []])],extension(5,bind([[_5536, _5531], [_7622, 2 ^ []]]))).
% 0.30/1.40  cnf('1.3.1.1.1',plain,[-(big_f(2 ^ [], 3 ^ [_7622, 2 ^ []], 3 ^ [_7622, 2 ^ []])), -(5 ^ [3 ^ [_7622, 2 ^ []], 3 ^ [_7622, 2 ^ []]])],extension(6,bind([[_5536, _5531], [3 ^ [_7622, 2 ^ []], 3 ^ [_7622, 2 ^ []]]]))).
% 0.30/1.40  cnf('1.3.1.1.1.1',plain,[5 ^ [3 ^ [_7622, 2 ^ []], 3 ^ [_7622, 2 ^ []]], big_f(1 ^ [], 2 ^ [], 2 ^ []), -(big_f(1 ^ [], 1 ^ [], 2 ^ []))],extension(10,bind([[_5536, _5531], [3 ^ [_7622, 2 ^ []], 3 ^ [_7622, 2 ^ []]]]))).
% 0.30/1.40  cnf('1.3.1.1.1.1.1',plain,[-(big_f(1 ^ [], 2 ^ [], 2 ^ [])), -(7 ^ [_6855, _6843])],extension(2,bind([[_5536, _5531], [_6855, _6843]]))).
% 0.30/1.40  cnf('1.3.1.1.1.1.1.1',plain,[7 ^ [_6855, _6843]],reduction('1')).
% 0.30/1.40  cnf('1.3.1.1.1.1.2',plain,[big_f(1 ^ [], 1 ^ [], 2 ^ [])],reduction('1.3')).
% 0.30/1.40  cnf('1.3.1.2',plain,[-(big_f(1 ^ [], 2 ^ [], 2 ^ [])), -(7 ^ [_6855, _6843])],extension(2,bind([[_5536, _5531], [_6855, _6843]]))).
% 0.30/1.40  cnf('1.3.1.2.1',plain,[7 ^ [_6855, _6843]],reduction('1')).
% 0.30/1.40  %-----------------------------------------------------
% 0.30/1.41  
% 0.30/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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