TSTP Solution File: SYN084+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n007.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 08:15:45 EDT 2022

% Result   : Theorem 0.31s 1.40s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n007.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  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 12:36:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.31/1.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.41  
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  fof(pel62, conjecture, ! [_10010] : (big_p(a) & (big_p(_10010) => big_p(f(_10010))) => big_p(f(f(_10010)))) <=> ! [_10058] : ((~ big_p(a) | big_p(_10058) | big_p(f(f(_10058)))) & (~ big_p(a) | ~ big_p(f(_10058)) | big_p(f(f(_10058))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', pel62)).
% 0.31/1.41  
% 0.31/1.41  cnf(1, plain, [-(7 ^ []), big_p(a), big_p(f(_3413)), -(big_p(f(f(_3413))))], clausify(pel62)).
% 0.31/1.41  cnf(2, plain, [-(7 ^ []), big_p(a), -(big_p(_3413)), -(big_p(f(f(_3413))))], clausify(pel62)).
% 0.31/1.41  cnf(3, plain, [-(7 ^ []), big_p(6 ^ []), -(big_p(f(6 ^ [])))], clausify(pel62)).
% 0.31/1.41  cnf(4, plain, [-(7 ^ []), -(big_p(a))], clausify(pel62)).
% 0.31/1.41  cnf(5, plain, [-(7 ^ []), big_p(f(f(6 ^ [])))], clausify(pel62)).
% 0.31/1.41  cnf(6, plain, [-(4 ^ []), big_p(f(f(2 ^ [])))], clausify(pel62)).
% 0.31/1.41  cnf(7, plain, [-(4 ^ []), -(big_p(f(2 ^ [])))], clausify(pel62)).
% 0.31/1.41  cnf(8, plain, [-(4 ^ []), -(big_p(a))], clausify(pel62)).
% 0.31/1.41  cnf(9, plain, [-(3 ^ []), big_p(f(f(2 ^ [])))], clausify(pel62)).
% 0.31/1.41  cnf(10, plain, [-(3 ^ []), big_p(2 ^ [])], clausify(pel62)).
% 0.31/1.41  cnf(11, plain, [-(3 ^ []), -(big_p(a))], clausify(pel62)).
% 0.31/1.41  cnf(12, plain, [-(1 ^ [_3119]), big_p(f(_3119))], clausify(pel62)).
% 0.31/1.41  cnf(13, plain, [-(1 ^ [_3119]), -(big_p(_3119))], clausify(pel62)).
% 0.31/1.41  cnf(14, plain, [-(5 ^ []), -(big_p(f(f(_3119)))), big_p(a), 1 ^ [_3119]], clausify(pel62)).
% 0.31/1.41  cnf(15, plain, [-(5 ^ []), 3 ^ [], 4 ^ []], clausify(pel62)).
% 0.31/1.41  cnf(16, plain, [5 ^ [], 7 ^ []], clausify(pel62)).
% 0.31/1.41  
% 0.31/1.41  cnf('1',plain,[5 ^ [], 7 ^ []],start(16)).
% 0.31/1.41  cnf('1.1',plain,[-(5 ^ []), 3 ^ [], 4 ^ []],extension(15)).
% 0.31/1.41  cnf('1.1.1',plain,[-(3 ^ []), big_p(f(f(2 ^ [])))],extension(9)).
% 0.31/1.41  cnf('1.1.1.1',plain,[-(big_p(f(f(2 ^ [])))), -(5 ^ []), big_p(a), 1 ^ [2 ^ []]],extension(14,bind([[_3119], [2 ^ []]]))).
% 0.31/1.41  cnf('1.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 0.31/1.41  cnf('1.1.1.1.2',plain,[-(big_p(a)), -(3 ^ [])],extension(11)).
% 0.31/1.41  cnf('1.1.1.1.2.1',plain,[3 ^ []],reduction('1.1')).
% 0.31/1.41  cnf('1.1.1.1.3',plain,[-(1 ^ [2 ^ []]), -(big_p(2 ^ []))],extension(13,bind([[_3119], [2 ^ []]]))).
% 0.31/1.41  cnf('1.1.1.1.3.1',plain,[big_p(2 ^ []), -(3 ^ [])],extension(10)).
% 0.31/1.41  cnf('1.1.1.1.3.1.1',plain,[3 ^ []],reduction('1.1')).
% 0.31/1.41  cnf('1.1.2',plain,[-(4 ^ []), big_p(f(f(2 ^ [])))],extension(6)).
% 0.31/1.41  cnf('1.1.2.1',plain,[-(big_p(f(f(2 ^ [])))), -(5 ^ []), big_p(a), 1 ^ [2 ^ []]],extension(14,bind([[_3119], [2 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.1',plain,[5 ^ []],reduction('1')).
% 0.31/1.41  cnf('1.1.2.1.2',plain,[-(big_p(a)), -(4 ^ [])],extension(8)).
% 0.31/1.41  cnf('1.1.2.1.2.1',plain,[4 ^ []],reduction('1.1')).
% 0.31/1.41  cnf('1.1.2.1.3',plain,[-(1 ^ [2 ^ []]), big_p(f(2 ^ []))],extension(12,bind([[_3119], [2 ^ []]]))).
% 0.31/1.41  cnf('1.1.2.1.3.1',plain,[-(big_p(f(2 ^ []))), -(4 ^ [])],extension(7)).
% 0.31/1.41  cnf('1.1.2.1.3.1.1',plain,[4 ^ []],reduction('1.1')).
% 0.31/1.41  cnf('1.2',plain,[-(7 ^ []), big_p(6 ^ []), -(big_p(f(6 ^ [])))],extension(3)).
% 0.31/1.41  cnf('1.2.1',plain,[-(big_p(6 ^ [])), -(7 ^ []), big_p(a), -(big_p(f(f(6 ^ []))))],extension(2,bind([[_3413], [6 ^ []]]))).
% 0.31/1.41  cnf('1.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.31/1.41  cnf('1.2.1.2',plain,[-(big_p(a)), -(7 ^ [])],extension(4)).
% 0.31/1.41  cnf('1.2.1.2.1',plain,[7 ^ []],lemmata('1.2.1')).
% 0.31/1.41  cnf('1.2.1.3',plain,[big_p(f(f(6 ^ []))), -(7 ^ [])],extension(5)).
% 0.31/1.41  cnf('1.2.1.3.1',plain,[7 ^ []],lemmata('1.2.1')).
% 0.31/1.41  cnf('1.2.2',plain,[big_p(f(6 ^ [])), -(7 ^ []), big_p(a), -(big_p(f(f(6 ^ []))))],extension(1,bind([[_3413], [6 ^ []]]))).
% 0.31/1.41  cnf('1.2.2.1',plain,[7 ^ []],reduction('1')).
% 0.31/1.41  cnf('1.2.2.2',plain,[-(big_p(a)), -(7 ^ [])],extension(4)).
% 0.31/1.41  cnf('1.2.2.2.1',plain,[7 ^ []],lemmata('1.2.2')).
% 0.31/1.41  cnf('1.2.2.3',plain,[big_p(f(f(6 ^ []))), -(7 ^ [])],extension(5)).
% 0.31/1.41  cnf('1.2.2.3.1',plain,[7 ^ []],lemmata('1.2.2')).
% 0.31/1.41  %-----------------------------------------------------
% 0.31/1.41  
% 0.31/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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