TSTP Solution File: CSR159+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR160+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n184.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 12:29:16 EST 2019
% Result : Theorem 27.75s
% Output : CNFRefutation 27.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 11 unt; 0 def)
% Number of atoms : 604 ( 1 equ)
% Maximal formula atoms : 110 ( 15 avg)
% Number of connectives : 852 ( 286 ~; 279 |; 273 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-7 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 294 ( 2 sgn 275 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3000,axiom,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
file('/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5',mergeA399) ).
fof(3069,axiom,
( ! [X158,X660,X661] :
( p__d__partition3(X158,X660,X661)
<=> ( p__d__exhaustiveDecomposition3(X158,X660,X661)
& p__d__disjointDecomposition3(X158,X660,X661) ) )
& ! [X158,X660,X661,X662] :
( p__d__partition4(X158,X660,X661,X662)
<=> ( p__d__exhaustiveDecomposition4(X158,X660,X661,X662)
& p__d__disjointDecomposition4(X158,X660,X661,X662) ) )
& ! [X158,X660,X661,X662,X663] :
( p__d__partition5(X158,X660,X661,X662,X663)
<=> ( p__d__exhaustiveDecomposition5(X158,X660,X661,X662,X663)
& p__d__disjointDecomposition5(X158,X660,X661,X662,X663) ) )
& ! [X158,X660,X661,X662,X663,X664] :
( p__d__partition6(X158,X660,X661,X662,X663,X664)
<=> ( p__d__exhaustiveDecomposition6(X158,X660,X661,X662,X663,X664)
& p__d__disjointDecomposition6(X158,X660,X661,X662,X663,X664) ) )
& ! [X158,X660,X661,X662,X663,X664,X665] :
( p__d__partition7(X158,X660,X661,X662,X663,X664,X665)
<=> ( p__d__exhaustiveDecomposition7(X158,X660,X661,X662,X663,X664,X665)
& p__d__disjointDecomposition7(X158,X660,X661,X662,X663,X664,X665) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5',predefinitionsA18) ).
fof(3072,axiom,
! [X140,X139] :
( p__d__disjoint(X140,X139)
<=> ! [X236] :
( ~ p__d__instance(X236,X140)
| ~ p__d__instance(X236,X139) ) ),
file('/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5',predefinitionsA15) ).
fof(3324,axiom,
( ! [X158,X660,X661] :
( p__d__disjointDecomposition3(X158,X660,X661)
<=> p__d__disjoint(X660,X661) )
& ! [X158,X660,X661,X662] :
( p__d__disjointDecomposition4(X158,X660,X661,X662)
<=> ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X661,X662) ) )
& ! [X158,X660,X661,X662,X663] :
( p__d__disjointDecomposition5(X158,X660,X661,X662,X663)
<=> ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X660,X663)
& p__d__disjoint(X661,X662)
& p__d__disjoint(X661,X663)
& p__d__disjoint(X662,X663) ) )
& ! [X158,X660,X661,X662,X663,X664] :
( p__d__disjointDecomposition6(X158,X660,X661,X662,X663,X664)
<=> ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X660,X663)
& p__d__disjoint(X660,X664)
& p__d__disjoint(X661,X662)
& p__d__disjoint(X661,X663)
& p__d__disjoint(X661,X664)
& p__d__disjoint(X662,X663)
& p__d__disjoint(X662,X664)
& p__d__disjoint(X663,X664) ) )
& ! [X158,X660,X661,X662,X663,X664,X665] :
( p__d__disjointDecomposition7(X158,X660,X661,X662,X663,X664,X665)
<=> ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X660,X663)
& p__d__disjoint(X660,X664)
& p__d__disjoint(X660,X665)
& p__d__disjoint(X661,X662)
& p__d__disjoint(X661,X663)
& p__d__disjoint(X661,X664)
& p__d__disjoint(X661,X665)
& p__d__disjoint(X662,X663)
& p__d__disjoint(X662,X664)
& p__d__disjoint(X662,X665)
& p__d__disjoint(X663,X664)
& p__d__disjoint(X663,X665)
& p__d__disjoint(X664,X665) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5',predefinitionsA24) ).
fof(3411,conjecture,
! [X49,X172] :
( ( p__d__instance(X49,c__EvenInteger)
& p__d__instance(X172,c__OddInteger) )
=> ~ equal(X49,X172) ),
file('/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5',antonymPattern10035) ).
fof(3412,negated_conjecture,
~ ! [X49,X172] :
( ( p__d__instance(X49,c__EvenInteger)
& p__d__instance(X172,c__OddInteger) )
=> ~ equal(X49,X172) ),
inference(assume_negation,[status(cth)],[3411]) ).
fof(3486,plain,
! [X140,X139] :
( p__d__disjoint(X140,X139)
<=> ! [X236] :
( ~ p__d__instance(X236,X140)
| ~ p__d__instance(X236,X139) ) ),
inference(fof_simplification,[status(thm)],[3072,theory(equality)]) ).
cnf(11893,plain,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
inference(split_conjunct,[status(thm)],[3000]) ).
fof(12101,plain,
( ! [X158,X660,X661] :
( ( ~ p__d__partition3(X158,X660,X661)
| ( p__d__exhaustiveDecomposition3(X158,X660,X661)
& p__d__disjointDecomposition3(X158,X660,X661) ) )
& ( ~ p__d__exhaustiveDecomposition3(X158,X660,X661)
| ~ p__d__disjointDecomposition3(X158,X660,X661)
| p__d__partition3(X158,X660,X661) ) )
& ! [X158,X660,X661,X662] :
( ( ~ p__d__partition4(X158,X660,X661,X662)
| ( p__d__exhaustiveDecomposition4(X158,X660,X661,X662)
& p__d__disjointDecomposition4(X158,X660,X661,X662) ) )
& ( ~ p__d__exhaustiveDecomposition4(X158,X660,X661,X662)
| ~ p__d__disjointDecomposition4(X158,X660,X661,X662)
| p__d__partition4(X158,X660,X661,X662) ) )
& ! [X158,X660,X661,X662,X663] :
( ( ~ p__d__partition5(X158,X660,X661,X662,X663)
| ( p__d__exhaustiveDecomposition5(X158,X660,X661,X662,X663)
& p__d__disjointDecomposition5(X158,X660,X661,X662,X663) ) )
& ( ~ p__d__exhaustiveDecomposition5(X158,X660,X661,X662,X663)
| ~ p__d__disjointDecomposition5(X158,X660,X661,X662,X663)
| p__d__partition5(X158,X660,X661,X662,X663) ) )
& ! [X158,X660,X661,X662,X663,X664] :
( ( ~ p__d__partition6(X158,X660,X661,X662,X663,X664)
| ( p__d__exhaustiveDecomposition6(X158,X660,X661,X662,X663,X664)
& p__d__disjointDecomposition6(X158,X660,X661,X662,X663,X664) ) )
& ( ~ p__d__exhaustiveDecomposition6(X158,X660,X661,X662,X663,X664)
| ~ p__d__disjointDecomposition6(X158,X660,X661,X662,X663,X664)
| p__d__partition6(X158,X660,X661,X662,X663,X664) ) )
& ! [X158,X660,X661,X662,X663,X664,X665] :
( ( ~ p__d__partition7(X158,X660,X661,X662,X663,X664,X665)
| ( p__d__exhaustiveDecomposition7(X158,X660,X661,X662,X663,X664,X665)
& p__d__disjointDecomposition7(X158,X660,X661,X662,X663,X664,X665) ) )
& ( ~ p__d__exhaustiveDecomposition7(X158,X660,X661,X662,X663,X664,X665)
| ~ p__d__disjointDecomposition7(X158,X660,X661,X662,X663,X664,X665)
| p__d__partition7(X158,X660,X661,X662,X663,X664,X665) ) ) ),
inference(fof_nnf,[status(thm)],[3069]) ).
fof(12102,plain,
( ! [X666,X667,X668] :
( ( ~ p__d__partition3(X666,X667,X668)
| ( p__d__exhaustiveDecomposition3(X666,X667,X668)
& p__d__disjointDecomposition3(X666,X667,X668) ) )
& ( ~ p__d__exhaustiveDecomposition3(X666,X667,X668)
| ~ p__d__disjointDecomposition3(X666,X667,X668)
| p__d__partition3(X666,X667,X668) ) )
& ! [X669,X670,X671,X672] :
( ( ~ p__d__partition4(X669,X670,X671,X672)
| ( p__d__exhaustiveDecomposition4(X669,X670,X671,X672)
& p__d__disjointDecomposition4(X669,X670,X671,X672) ) )
& ( ~ p__d__exhaustiveDecomposition4(X669,X670,X671,X672)
| ~ p__d__disjointDecomposition4(X669,X670,X671,X672)
| p__d__partition4(X669,X670,X671,X672) ) )
& ! [X673,X674,X675,X676,X677] :
( ( ~ p__d__partition5(X673,X674,X675,X676,X677)
| ( p__d__exhaustiveDecomposition5(X673,X674,X675,X676,X677)
& p__d__disjointDecomposition5(X673,X674,X675,X676,X677) ) )
& ( ~ p__d__exhaustiveDecomposition5(X673,X674,X675,X676,X677)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677)
| p__d__partition5(X673,X674,X675,X676,X677) ) )
& ! [X678,X679,X680,X681,X682,X683] :
( ( ~ p__d__partition6(X678,X679,X680,X681,X682,X683)
| ( p__d__exhaustiveDecomposition6(X678,X679,X680,X681,X682,X683)
& p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) ) )
& ( ~ p__d__exhaustiveDecomposition6(X678,X679,X680,X681,X682,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683)
| p__d__partition6(X678,X679,X680,X681,X682,X683) ) )
& ! [X684,X685,X686,X687,X688,X689,X690] :
( ( ~ p__d__partition7(X684,X685,X686,X687,X688,X689,X690)
| ( p__d__exhaustiveDecomposition7(X684,X685,X686,X687,X688,X689,X690)
& p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) ) )
& ( ~ p__d__exhaustiveDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| p__d__partition7(X684,X685,X686,X687,X688,X689,X690) ) ) ),
inference(variable_rename,[status(thm)],[12101]) ).
fof(12103,plain,
! [X666,X667,X668,X669,X670,X671,X672,X673,X674,X675,X676,X677,X678,X679,X680,X681,X682,X683,X684,X685,X686,X687,X688,X689,X690] :
( ( ~ p__d__partition7(X684,X685,X686,X687,X688,X689,X690)
| ( p__d__exhaustiveDecomposition7(X684,X685,X686,X687,X688,X689,X690)
& p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) ) )
& ( ~ p__d__exhaustiveDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| p__d__partition7(X684,X685,X686,X687,X688,X689,X690) )
& ( ~ p__d__partition6(X678,X679,X680,X681,X682,X683)
| ( p__d__exhaustiveDecomposition6(X678,X679,X680,X681,X682,X683)
& p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) ) )
& ( ~ p__d__exhaustiveDecomposition6(X678,X679,X680,X681,X682,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683)
| p__d__partition6(X678,X679,X680,X681,X682,X683) )
& ( ~ p__d__partition5(X673,X674,X675,X676,X677)
| ( p__d__exhaustiveDecomposition5(X673,X674,X675,X676,X677)
& p__d__disjointDecomposition5(X673,X674,X675,X676,X677) ) )
& ( ~ p__d__exhaustiveDecomposition5(X673,X674,X675,X676,X677)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677)
| p__d__partition5(X673,X674,X675,X676,X677) )
& ( ~ p__d__partition4(X669,X670,X671,X672)
| ( p__d__exhaustiveDecomposition4(X669,X670,X671,X672)
& p__d__disjointDecomposition4(X669,X670,X671,X672) ) )
& ( ~ p__d__exhaustiveDecomposition4(X669,X670,X671,X672)
| ~ p__d__disjointDecomposition4(X669,X670,X671,X672)
| p__d__partition4(X669,X670,X671,X672) )
& ( ~ p__d__partition3(X666,X667,X668)
| ( p__d__exhaustiveDecomposition3(X666,X667,X668)
& p__d__disjointDecomposition3(X666,X667,X668) ) )
& ( ~ p__d__exhaustiveDecomposition3(X666,X667,X668)
| ~ p__d__disjointDecomposition3(X666,X667,X668)
| p__d__partition3(X666,X667,X668) ) ),
inference(shift_quantors,[status(thm)],[12102]) ).
fof(12104,plain,
! [X666,X667,X668,X669,X670,X671,X672,X673,X674,X675,X676,X677,X678,X679,X680,X681,X682,X683,X684,X685,X686,X687,X688,X689,X690] :
( ( p__d__exhaustiveDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ~ p__d__partition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ~ p__d__partition7(X684,X685,X686,X687,X688,X689,X690) )
& ( ~ p__d__exhaustiveDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| p__d__partition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__exhaustiveDecomposition6(X678,X679,X680,X681,X682,X683)
| ~ p__d__partition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683)
| ~ p__d__partition6(X678,X679,X680,X681,X682,X683) )
& ( ~ p__d__exhaustiveDecomposition6(X678,X679,X680,X681,X682,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683)
| p__d__partition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__exhaustiveDecomposition5(X673,X674,X675,X676,X677)
| ~ p__d__partition5(X673,X674,X675,X676,X677) )
& ( p__d__disjointDecomposition5(X673,X674,X675,X676,X677)
| ~ p__d__partition5(X673,X674,X675,X676,X677) )
& ( ~ p__d__exhaustiveDecomposition5(X673,X674,X675,X676,X677)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677)
| p__d__partition5(X673,X674,X675,X676,X677) )
& ( p__d__exhaustiveDecomposition4(X669,X670,X671,X672)
| ~ p__d__partition4(X669,X670,X671,X672) )
& ( p__d__disjointDecomposition4(X669,X670,X671,X672)
| ~ p__d__partition4(X669,X670,X671,X672) )
& ( ~ p__d__exhaustiveDecomposition4(X669,X670,X671,X672)
| ~ p__d__disjointDecomposition4(X669,X670,X671,X672)
| p__d__partition4(X669,X670,X671,X672) )
& ( p__d__exhaustiveDecomposition3(X666,X667,X668)
| ~ p__d__partition3(X666,X667,X668) )
& ( p__d__disjointDecomposition3(X666,X667,X668)
| ~ p__d__partition3(X666,X667,X668) )
& ( ~ p__d__exhaustiveDecomposition3(X666,X667,X668)
| ~ p__d__disjointDecomposition3(X666,X667,X668)
| p__d__partition3(X666,X667,X668) ) ),
inference(distribute,[status(thm)],[12103]) ).
cnf(12106,plain,
( p__d__disjointDecomposition3(X1,X2,X3)
| ~ p__d__partition3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[12104]) ).
fof(12122,plain,
! [X140,X139] :
( ( ~ p__d__disjoint(X140,X139)
| ! [X236] :
( ~ p__d__instance(X236,X140)
| ~ p__d__instance(X236,X139) ) )
& ( ? [X236] :
( p__d__instance(X236,X140)
& p__d__instance(X236,X139) )
| p__d__disjoint(X140,X139) ) ),
inference(fof_nnf,[status(thm)],[3486]) ).
fof(12123,plain,
! [X237,X238] :
( ( ~ p__d__disjoint(X237,X238)
| ! [X239] :
( ~ p__d__instance(X239,X237)
| ~ p__d__instance(X239,X238) ) )
& ( ? [X240] :
( p__d__instance(X240,X237)
& p__d__instance(X240,X238) )
| p__d__disjoint(X237,X238) ) ),
inference(variable_rename,[status(thm)],[12122]) ).
fof(12124,plain,
! [X237,X238] :
( ( ~ p__d__disjoint(X237,X238)
| ! [X239] :
( ~ p__d__instance(X239,X237)
| ~ p__d__instance(X239,X238) ) )
& ( ( p__d__instance(esk638_2(X237,X238),X237)
& p__d__instance(esk638_2(X237,X238),X238) )
| p__d__disjoint(X237,X238) ) ),
inference(skolemize,[status(esa)],[12123]) ).
fof(12125,plain,
! [X237,X238,X239] :
( ( ~ p__d__instance(X239,X237)
| ~ p__d__instance(X239,X238)
| ~ p__d__disjoint(X237,X238) )
& ( ( p__d__instance(esk638_2(X237,X238),X237)
& p__d__instance(esk638_2(X237,X238),X238) )
| p__d__disjoint(X237,X238) ) ),
inference(shift_quantors,[status(thm)],[12124]) ).
fof(12126,plain,
! [X237,X238,X239] :
( ( ~ p__d__instance(X239,X237)
| ~ p__d__instance(X239,X238)
| ~ p__d__disjoint(X237,X238) )
& ( p__d__instance(esk638_2(X237,X238),X237)
| p__d__disjoint(X237,X238) )
& ( p__d__instance(esk638_2(X237,X238),X238)
| p__d__disjoint(X237,X238) ) ),
inference(distribute,[status(thm)],[12125]) ).
cnf(12129,plain,
( ~ p__d__disjoint(X1,X2)
| ~ p__d__instance(X3,X2)
| ~ p__d__instance(X3,X1) ),
inference(split_conjunct,[status(thm)],[12126]) ).
fof(12874,plain,
( ! [X158,X660,X661] :
( ( ~ p__d__disjointDecomposition3(X158,X660,X661)
| p__d__disjoint(X660,X661) )
& ( ~ p__d__disjoint(X660,X661)
| p__d__disjointDecomposition3(X158,X660,X661) ) )
& ! [X158,X660,X661,X662] :
( ( ~ p__d__disjointDecomposition4(X158,X660,X661,X662)
| ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X661,X662) ) )
& ( ~ p__d__disjoint(X660,X661)
| ~ p__d__disjoint(X660,X662)
| ~ p__d__disjoint(X661,X662)
| p__d__disjointDecomposition4(X158,X660,X661,X662) ) )
& ! [X158,X660,X661,X662,X663] :
( ( ~ p__d__disjointDecomposition5(X158,X660,X661,X662,X663)
| ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X660,X663)
& p__d__disjoint(X661,X662)
& p__d__disjoint(X661,X663)
& p__d__disjoint(X662,X663) ) )
& ( ~ p__d__disjoint(X660,X661)
| ~ p__d__disjoint(X660,X662)
| ~ p__d__disjoint(X660,X663)
| ~ p__d__disjoint(X661,X662)
| ~ p__d__disjoint(X661,X663)
| ~ p__d__disjoint(X662,X663)
| p__d__disjointDecomposition5(X158,X660,X661,X662,X663) ) )
& ! [X158,X660,X661,X662,X663,X664] :
( ( ~ p__d__disjointDecomposition6(X158,X660,X661,X662,X663,X664)
| ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X660,X663)
& p__d__disjoint(X660,X664)
& p__d__disjoint(X661,X662)
& p__d__disjoint(X661,X663)
& p__d__disjoint(X661,X664)
& p__d__disjoint(X662,X663)
& p__d__disjoint(X662,X664)
& p__d__disjoint(X663,X664) ) )
& ( ~ p__d__disjoint(X660,X661)
| ~ p__d__disjoint(X660,X662)
| ~ p__d__disjoint(X660,X663)
| ~ p__d__disjoint(X660,X664)
| ~ p__d__disjoint(X661,X662)
| ~ p__d__disjoint(X661,X663)
| ~ p__d__disjoint(X661,X664)
| ~ p__d__disjoint(X662,X663)
| ~ p__d__disjoint(X662,X664)
| ~ p__d__disjoint(X663,X664)
| p__d__disjointDecomposition6(X158,X660,X661,X662,X663,X664) ) )
& ! [X158,X660,X661,X662,X663,X664,X665] :
( ( ~ p__d__disjointDecomposition7(X158,X660,X661,X662,X663,X664,X665)
| ( p__d__disjoint(X660,X661)
& p__d__disjoint(X660,X662)
& p__d__disjoint(X660,X663)
& p__d__disjoint(X660,X664)
& p__d__disjoint(X660,X665)
& p__d__disjoint(X661,X662)
& p__d__disjoint(X661,X663)
& p__d__disjoint(X661,X664)
& p__d__disjoint(X661,X665)
& p__d__disjoint(X662,X663)
& p__d__disjoint(X662,X664)
& p__d__disjoint(X662,X665)
& p__d__disjoint(X663,X664)
& p__d__disjoint(X663,X665)
& p__d__disjoint(X664,X665) ) )
& ( ~ p__d__disjoint(X660,X661)
| ~ p__d__disjoint(X660,X662)
| ~ p__d__disjoint(X660,X663)
| ~ p__d__disjoint(X660,X664)
| ~ p__d__disjoint(X660,X665)
| ~ p__d__disjoint(X661,X662)
| ~ p__d__disjoint(X661,X663)
| ~ p__d__disjoint(X661,X664)
| ~ p__d__disjoint(X661,X665)
| ~ p__d__disjoint(X662,X663)
| ~ p__d__disjoint(X662,X664)
| ~ p__d__disjoint(X662,X665)
| ~ p__d__disjoint(X663,X664)
| ~ p__d__disjoint(X663,X665)
| ~ p__d__disjoint(X664,X665)
| p__d__disjointDecomposition7(X158,X660,X661,X662,X663,X664,X665) ) ) ),
inference(fof_nnf,[status(thm)],[3324]) ).
fof(12875,plain,
( ! [X666,X667,X668] :
( ( ~ p__d__disjointDecomposition3(X666,X667,X668)
| p__d__disjoint(X667,X668) )
& ( ~ p__d__disjoint(X667,X668)
| p__d__disjointDecomposition3(X666,X667,X668) ) )
& ! [X669,X670,X671,X672] :
( ( ~ p__d__disjointDecomposition4(X669,X670,X671,X672)
| ( p__d__disjoint(X670,X671)
& p__d__disjoint(X670,X672)
& p__d__disjoint(X671,X672) ) )
& ( ~ p__d__disjoint(X670,X671)
| ~ p__d__disjoint(X670,X672)
| ~ p__d__disjoint(X671,X672)
| p__d__disjointDecomposition4(X669,X670,X671,X672) ) )
& ! [X673,X674,X675,X676,X677] :
( ( ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677)
| ( p__d__disjoint(X674,X675)
& p__d__disjoint(X674,X676)
& p__d__disjoint(X674,X677)
& p__d__disjoint(X675,X676)
& p__d__disjoint(X675,X677)
& p__d__disjoint(X676,X677) ) )
& ( ~ p__d__disjoint(X674,X675)
| ~ p__d__disjoint(X674,X676)
| ~ p__d__disjoint(X674,X677)
| ~ p__d__disjoint(X675,X676)
| ~ p__d__disjoint(X675,X677)
| ~ p__d__disjoint(X676,X677)
| p__d__disjointDecomposition5(X673,X674,X675,X676,X677) ) )
& ! [X678,X679,X680,X681,X682,X683] :
( ( ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683)
| ( p__d__disjoint(X679,X680)
& p__d__disjoint(X679,X681)
& p__d__disjoint(X679,X682)
& p__d__disjoint(X679,X683)
& p__d__disjoint(X680,X681)
& p__d__disjoint(X680,X682)
& p__d__disjoint(X680,X683)
& p__d__disjoint(X681,X682)
& p__d__disjoint(X681,X683)
& p__d__disjoint(X682,X683) ) )
& ( ~ p__d__disjoint(X679,X680)
| ~ p__d__disjoint(X679,X681)
| ~ p__d__disjoint(X679,X682)
| ~ p__d__disjoint(X679,X683)
| ~ p__d__disjoint(X680,X681)
| ~ p__d__disjoint(X680,X682)
| ~ p__d__disjoint(X680,X683)
| ~ p__d__disjoint(X681,X682)
| ~ p__d__disjoint(X681,X683)
| ~ p__d__disjoint(X682,X683)
| p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) ) )
& ! [X684,X685,X686,X687,X688,X689,X690] :
( ( ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ( p__d__disjoint(X685,X686)
& p__d__disjoint(X685,X687)
& p__d__disjoint(X685,X688)
& p__d__disjoint(X685,X689)
& p__d__disjoint(X685,X690)
& p__d__disjoint(X686,X687)
& p__d__disjoint(X686,X688)
& p__d__disjoint(X686,X689)
& p__d__disjoint(X686,X690)
& p__d__disjoint(X687,X688)
& p__d__disjoint(X687,X689)
& p__d__disjoint(X687,X690)
& p__d__disjoint(X688,X689)
& p__d__disjoint(X688,X690)
& p__d__disjoint(X689,X690) ) )
& ( ~ p__d__disjoint(X685,X686)
| ~ p__d__disjoint(X685,X687)
| ~ p__d__disjoint(X685,X688)
| ~ p__d__disjoint(X685,X689)
| ~ p__d__disjoint(X685,X690)
| ~ p__d__disjoint(X686,X687)
| ~ p__d__disjoint(X686,X688)
| ~ p__d__disjoint(X686,X689)
| ~ p__d__disjoint(X686,X690)
| ~ p__d__disjoint(X687,X688)
| ~ p__d__disjoint(X687,X689)
| ~ p__d__disjoint(X687,X690)
| ~ p__d__disjoint(X688,X689)
| ~ p__d__disjoint(X688,X690)
| ~ p__d__disjoint(X689,X690)
| p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) ) ) ),
inference(variable_rename,[status(thm)],[12874]) ).
fof(12876,plain,
! [X666,X667,X668,X669,X670,X671,X672,X673,X674,X675,X676,X677,X678,X679,X680,X681,X682,X683,X684,X685,X686,X687,X688,X689,X690] :
( ( ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690)
| ( p__d__disjoint(X685,X686)
& p__d__disjoint(X685,X687)
& p__d__disjoint(X685,X688)
& p__d__disjoint(X685,X689)
& p__d__disjoint(X685,X690)
& p__d__disjoint(X686,X687)
& p__d__disjoint(X686,X688)
& p__d__disjoint(X686,X689)
& p__d__disjoint(X686,X690)
& p__d__disjoint(X687,X688)
& p__d__disjoint(X687,X689)
& p__d__disjoint(X687,X690)
& p__d__disjoint(X688,X689)
& p__d__disjoint(X688,X690)
& p__d__disjoint(X689,X690) ) )
& ( ~ p__d__disjoint(X685,X686)
| ~ p__d__disjoint(X685,X687)
| ~ p__d__disjoint(X685,X688)
| ~ p__d__disjoint(X685,X689)
| ~ p__d__disjoint(X685,X690)
| ~ p__d__disjoint(X686,X687)
| ~ p__d__disjoint(X686,X688)
| ~ p__d__disjoint(X686,X689)
| ~ p__d__disjoint(X686,X690)
| ~ p__d__disjoint(X687,X688)
| ~ p__d__disjoint(X687,X689)
| ~ p__d__disjoint(X687,X690)
| ~ p__d__disjoint(X688,X689)
| ~ p__d__disjoint(X688,X690)
| ~ p__d__disjoint(X689,X690)
| p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683)
| ( p__d__disjoint(X679,X680)
& p__d__disjoint(X679,X681)
& p__d__disjoint(X679,X682)
& p__d__disjoint(X679,X683)
& p__d__disjoint(X680,X681)
& p__d__disjoint(X680,X682)
& p__d__disjoint(X680,X683)
& p__d__disjoint(X681,X682)
& p__d__disjoint(X681,X683)
& p__d__disjoint(X682,X683) ) )
& ( ~ p__d__disjoint(X679,X680)
| ~ p__d__disjoint(X679,X681)
| ~ p__d__disjoint(X679,X682)
| ~ p__d__disjoint(X679,X683)
| ~ p__d__disjoint(X680,X681)
| ~ p__d__disjoint(X680,X682)
| ~ p__d__disjoint(X680,X683)
| ~ p__d__disjoint(X681,X682)
| ~ p__d__disjoint(X681,X683)
| ~ p__d__disjoint(X682,X683)
| p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677)
| ( p__d__disjoint(X674,X675)
& p__d__disjoint(X674,X676)
& p__d__disjoint(X674,X677)
& p__d__disjoint(X675,X676)
& p__d__disjoint(X675,X677)
& p__d__disjoint(X676,X677) ) )
& ( ~ p__d__disjoint(X674,X675)
| ~ p__d__disjoint(X674,X676)
| ~ p__d__disjoint(X674,X677)
| ~ p__d__disjoint(X675,X676)
| ~ p__d__disjoint(X675,X677)
| ~ p__d__disjoint(X676,X677)
| p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( ~ p__d__disjointDecomposition4(X669,X670,X671,X672)
| ( p__d__disjoint(X670,X671)
& p__d__disjoint(X670,X672)
& p__d__disjoint(X671,X672) ) )
& ( ~ p__d__disjoint(X670,X671)
| ~ p__d__disjoint(X670,X672)
| ~ p__d__disjoint(X671,X672)
| p__d__disjointDecomposition4(X669,X670,X671,X672) )
& ( ~ p__d__disjointDecomposition3(X666,X667,X668)
| p__d__disjoint(X667,X668) )
& ( ~ p__d__disjoint(X667,X668)
| p__d__disjointDecomposition3(X666,X667,X668) ) ),
inference(shift_quantors,[status(thm)],[12875]) ).
fof(12877,plain,
! [X666,X667,X668,X669,X670,X671,X672,X673,X674,X675,X676,X677,X678,X679,X680,X681,X682,X683,X684,X685,X686,X687,X688,X689,X690] :
( ( p__d__disjoint(X685,X686)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X685,X687)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X685,X688)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X685,X689)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X685,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X686,X687)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X686,X688)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X686,X689)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X686,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X687,X688)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X687,X689)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X687,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X688,X689)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X688,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X689,X690)
| ~ p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( ~ p__d__disjoint(X685,X686)
| ~ p__d__disjoint(X685,X687)
| ~ p__d__disjoint(X685,X688)
| ~ p__d__disjoint(X685,X689)
| ~ p__d__disjoint(X685,X690)
| ~ p__d__disjoint(X686,X687)
| ~ p__d__disjoint(X686,X688)
| ~ p__d__disjoint(X686,X689)
| ~ p__d__disjoint(X686,X690)
| ~ p__d__disjoint(X687,X688)
| ~ p__d__disjoint(X687,X689)
| ~ p__d__disjoint(X687,X690)
| ~ p__d__disjoint(X688,X689)
| ~ p__d__disjoint(X688,X690)
| ~ p__d__disjoint(X689,X690)
| p__d__disjointDecomposition7(X684,X685,X686,X687,X688,X689,X690) )
& ( p__d__disjoint(X679,X680)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X679,X681)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X679,X682)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X679,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X680,X681)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X680,X682)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X680,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X681,X682)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X681,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X682,X683)
| ~ p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( ~ p__d__disjoint(X679,X680)
| ~ p__d__disjoint(X679,X681)
| ~ p__d__disjoint(X679,X682)
| ~ p__d__disjoint(X679,X683)
| ~ p__d__disjoint(X680,X681)
| ~ p__d__disjoint(X680,X682)
| ~ p__d__disjoint(X680,X683)
| ~ p__d__disjoint(X681,X682)
| ~ p__d__disjoint(X681,X683)
| ~ p__d__disjoint(X682,X683)
| p__d__disjointDecomposition6(X678,X679,X680,X681,X682,X683) )
& ( p__d__disjoint(X674,X675)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( p__d__disjoint(X674,X676)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( p__d__disjoint(X674,X677)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( p__d__disjoint(X675,X676)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( p__d__disjoint(X675,X677)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( p__d__disjoint(X676,X677)
| ~ p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( ~ p__d__disjoint(X674,X675)
| ~ p__d__disjoint(X674,X676)
| ~ p__d__disjoint(X674,X677)
| ~ p__d__disjoint(X675,X676)
| ~ p__d__disjoint(X675,X677)
| ~ p__d__disjoint(X676,X677)
| p__d__disjointDecomposition5(X673,X674,X675,X676,X677) )
& ( p__d__disjoint(X670,X671)
| ~ p__d__disjointDecomposition4(X669,X670,X671,X672) )
& ( p__d__disjoint(X670,X672)
| ~ p__d__disjointDecomposition4(X669,X670,X671,X672) )
& ( p__d__disjoint(X671,X672)
| ~ p__d__disjointDecomposition4(X669,X670,X671,X672) )
& ( ~ p__d__disjoint(X670,X671)
| ~ p__d__disjoint(X670,X672)
| ~ p__d__disjoint(X671,X672)
| p__d__disjointDecomposition4(X669,X670,X671,X672) )
& ( ~ p__d__disjointDecomposition3(X666,X667,X668)
| p__d__disjoint(X667,X668) )
& ( ~ p__d__disjoint(X667,X668)
| p__d__disjointDecomposition3(X666,X667,X668) ) ),
inference(distribute,[status(thm)],[12876]) ).
cnf(12879,plain,
( p__d__disjoint(X1,X2)
| ~ p__d__disjointDecomposition3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[12877]) ).
fof(13173,negated_conjecture,
? [X49,X172] :
( p__d__instance(X49,c__EvenInteger)
& p__d__instance(X172,c__OddInteger)
& equal(X49,X172) ),
inference(fof_nnf,[status(thm)],[3412]) ).
fof(13174,negated_conjecture,
? [X173,X174] :
( p__d__instance(X173,c__EvenInteger)
& p__d__instance(X174,c__OddInteger)
& equal(X173,X174) ),
inference(variable_rename,[status(thm)],[13173]) ).
fof(13175,negated_conjecture,
( p__d__instance(esk706_0,c__EvenInteger)
& p__d__instance(esk707_0,c__OddInteger)
& equal(esk706_0,esk707_0) ),
inference(skolemize,[status(esa)],[13174]) ).
cnf(13176,negated_conjecture,
esk706_0 = esk707_0,
inference(split_conjunct,[status(thm)],[13175]) ).
cnf(13177,negated_conjecture,
p__d__instance(esk707_0,c__OddInteger),
inference(split_conjunct,[status(thm)],[13175]) ).
cnf(13178,negated_conjecture,
p__d__instance(esk706_0,c__EvenInteger),
inference(split_conjunct,[status(thm)],[13175]) ).
cnf(13179,negated_conjecture,
p__d__instance(esk706_0,c__OddInteger),
inference(rw,[status(thm)],[13177,13176,theory(equality)]) ).
cnf(16730,plain,
( p__d__disjoint(X1,X2)
| ~ p__d__partition3(X3,X1,X2) ),
inference(spm,[status(thm)],[12879,12106,theory(equality)]) ).
cnf(97736,plain,
p__d__disjoint(c__OddInteger,c__EvenInteger),
inference(spm,[status(thm)],[16730,11893,theory(equality)]) ).
cnf(97764,plain,
( ~ p__d__instance(X1,c__EvenInteger)
| ~ p__d__instance(X1,c__OddInteger) ),
inference(spm,[status(thm)],[12129,97736,theory(equality)]) ).
cnf(97769,negated_conjecture,
~ p__d__instance(esk706_0,c__EvenInteger),
inference(spm,[status(thm)],[97764,13179,theory(equality)]) ).
cnf(97804,negated_conjecture,
$false,
inference(rw,[status(thm)],[97769,13178,theory(equality)]) ).
cnf(97805,negated_conjecture,
$false,
inference(cn,[status(thm)],[97804,theory(equality)]) ).
cnf(97806,negated_conjecture,
$false,
97805,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR160+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.26 % Computer : n184.star.cs.uiowa.edu
% 0.03/0.26 % Model : x86_64 x86_64
% 0.03/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26 % Memory : 32218.5MB
% 0.03/0.26 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.26 % CPULimit : 300
% 0.03/0.26 % DateTime : Tue Feb 19 13:12:25 CST 2019
% 0.03/0.26 % CPUTime :
% 0.09/0.31 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 --creating new selector for [CSR006+0.ax]
% 0.58/0.85 -running prover on /export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_1 with time limit 29
% 0.58/0.85 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_1']
% 0.58/0.85 -prover status CounterSatisfiable
% 0.58/0.85 -running prover on /export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_2 with time limit 89
% 0.58/0.85 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=89', '/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_2']
% 0.58/0.85 -prover status CounterSatisfiable
% 0.58/0.85 --creating new selector for [CSR006+0.ax]
% 0.76/1.01 -running prover on /export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_3 with time limit 119
% 0.76/1.01 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=119', '/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_3']
% 0.76/1.01 -prover status CounterSatisfiable
% 0.76/1.01 --creating new selector for [CSR006+0.ax]
% 0.94/1.19 -running prover on /export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_4 with time limit 149
% 0.94/1.19 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=149', '/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_4']
% 0.94/1.19 -prover status CounterSatisfiable
% 0.94/1.19 --creating new selector for [CSR006+0.ax]
% 27.75/27.98 -running prover on /export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5 with time limit 299
% 27.75/27.98 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=299', '/export/starexec/sandbox2/tmp/tmpniFtfY/sel_theBenchmark.p_5']
% 27.75/27.98 -prover status Theorem
% 27.75/27.98 Problem theBenchmark.p solved in phase 4.
% 27.75/27.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.75/27.98 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.75/27.98 Solved 1 out of 1.
% 27.75/27.98 # Problem is unsatisfiable (or provable), constructing proof object
% 27.75/27.98 # SZS status Theorem
% 27.75/27.98 # SZS output start CNFRefutation.
% See solution above
% 27.81/28.02 # SZS output end CNFRefutation
%------------------------------------------------------------------------------