TSTP Solution File: SWV376+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n003.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 : Wed Jul 20 19:50:40 EDT 2022

% Result   : Theorem 0.44s 1.47s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15  % Problem  : SWV376+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.15  % Command  : leancop_casc.sh %s %d
% 0.15/0.37  % Computer : n003.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Wed Jun 15 20:40:11 EDT 2022
% 0.15/0.38  % CPUTime  : 
% 0.44/1.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.48  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.49  
% 0.44/1.49  %-----------------------------------------------------
% 0.44/1.49  fof(l12_co, conjecture, ! [_84689, _84692, _84695] : (~ ok(triple(_84689, _84692, _84695)) => ! [_84722, _84725, _84728] : (succ_cpq(triple(_84689, _84692, _84695), triple(_84722, _84725, _84728)) => ~ ok(triple(_84722, _84725, _84728)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l12_co)).
% 0.44/1.49  fof(l12_l13, lemma, ! [_85093, _85096, _85099] : (~ ok(triple(_85093, _85096, _85099)) => ~ ok(im_succ_cpq(triple(_85093, _85096, _85099)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l12_l13)).
% 0.44/1.49  fof(l12_induction, axiom, ! [_85306, _85309, _85312, _85315, _85318, _85321] : (succ_cpq(triple(_85306, _85309, _85312), triple(_85315, _85318, _85321)) => ~ ok(triple(_85315, _85318, _85321)) => ~ ok(im_succ_cpq(triple(_85315, _85318, _85321)))) => ! [_85401, _85404, _85407] : (~ ok(triple(_85401, _85404, _85407)) => ! [_85434, _85437, _85440] : (succ_cpq(triple(_85401, _85404, _85407), triple(_85434, _85437, _85440)) => ~ ok(triple(_85434, _85437, _85440)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l12_induction)).
% 0.44/1.49  
% 0.44/1.49  cnf(1, plain, [ok(triple(7 ^ [], 8 ^ [], 9 ^ []))], clausify(l12_co)).
% 0.44/1.49  cnf(2, plain, [-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))], clausify(l12_co)).
% 0.44/1.49  cnf(3, plain, [-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))], clausify(l12_co)).
% 0.44/1.49  cnf(4, plain, [-(ok(triple(_64768, _64830, _64891))), ok(im_succ_cpq(triple(_64768, _64830, _64891)))], clausify(l12_l13)).
% 0.44/1.49  cnf(5, plain, [ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(ok(triple(_63656, _63745, _63833))), succ_cpq(triple(_63656, _63745, _63833), triple(_64051, _64126, _64200)), ok(triple(_64051, _64126, _64200))], clausify(l12_induction)).
% 0.44/1.49  cnf(6, plain, [-(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), -(ok(triple(_63656, _63745, _63833))), succ_cpq(triple(_63656, _63745, _63833), triple(_64051, _64126, _64200)), ok(triple(_64051, _64126, _64200))], clausify(l12_induction)).
% 0.44/1.49  
% 0.44/1.49  cnf('1',plain,[ok(triple(7 ^ [], 8 ^ [], 9 ^ []))],start(1)).
% 0.44/1.49  cnf('1.1',plain,[-(ok(triple(7 ^ [], 8 ^ [], 9 ^ []))), -(ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ [])))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(6,bind([[_63656, _63745, _63833, _64051, _64126, _64200], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 0.44/1.49  cnf('1.1.1',plain,[ok(im_succ_cpq(triple(4 ^ [], 5 ^ [], 6 ^ []))), -(ok(triple(4 ^ [], 5 ^ [], 6 ^ [])))],extension(4,bind([[_64768, _64830, _64891], [4 ^ [], 5 ^ [], 6 ^ []]]))).
% 0.44/1.49  cnf('1.1.1.1',plain,[ok(triple(4 ^ [], 5 ^ [], 6 ^ [])), -(ok(triple(7 ^ [], 8 ^ [], 9 ^ []))), succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])), ok(triple(10 ^ [], 11 ^ [], 12 ^ []))],extension(5,bind([[_63656, _63745, _63833, _64051, _64126, _64200], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ [], 11 ^ [], 12 ^ []]]))).
% 0.44/1.49  cnf('1.1.1.1.1',plain,[ok(triple(7 ^ [], 8 ^ [], 9 ^ []))],extension(1)).
% 0.44/1.49  cnf('1.1.1.1.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 0.44/1.49  cnf('1.1.1.1.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 0.44/1.49  cnf('1.1.2',plain,[-(succ_cpq(triple(7 ^ [], 8 ^ [], 9 ^ []), triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(2)).
% 0.44/1.49  cnf('1.1.3',plain,[-(ok(triple(10 ^ [], 11 ^ [], 12 ^ [])))],extension(3)).
% 0.44/1.49  %-----------------------------------------------------
% 0.48/1.50  
% 0.48/1.50  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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