TSTP Solution File: CSR157+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : CSR158+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : sine.py -e eprover -t %d %s
% Computer : n192.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 4.71s
% Output : CNFRefutation 4.81s
% 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(692,axiom,
( ! [X29,X244,X245] :
( p__d__partition3(X29,X244,X245)
<=> ( p__d__exhaustiveDecomposition3(X29,X244,X245)
& p__d__disjointDecomposition3(X29,X244,X245) ) )
& ! [X29,X244,X245,X246] :
( p__d__partition4(X29,X244,X245,X246)
<=> ( p__d__exhaustiveDecomposition4(X29,X244,X245,X246)
& p__d__disjointDecomposition4(X29,X244,X245,X246) ) )
& ! [X29,X244,X245,X246,X247] :
( p__d__partition5(X29,X244,X245,X246,X247)
<=> ( p__d__exhaustiveDecomposition5(X29,X244,X245,X246,X247)
& p__d__disjointDecomposition5(X29,X244,X245,X246,X247) ) )
& ! [X29,X244,X245,X246,X247,X248] :
( p__d__partition6(X29,X244,X245,X246,X247,X248)
<=> ( p__d__exhaustiveDecomposition6(X29,X244,X245,X246,X247,X248)
& p__d__disjointDecomposition6(X29,X244,X245,X246,X247,X248) ) )
& ! [X29,X244,X245,X246,X247,X248,X249] :
( p__d__partition7(X29,X244,X245,X246,X247,X248,X249)
<=> ( p__d__exhaustiveDecomposition7(X29,X244,X245,X246,X247,X248,X249)
& p__d__disjointDecomposition7(X29,X244,X245,X246,X247,X248,X249) ) ) ),
file('/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4',predefinitionsA18) ).
fof(693,axiom,
! [X250,X251] :
( p__d__disjoint(X250,X251)
<=> ! [X185] :
( ~ p__d__instance(X185,X250)
| ~ p__d__instance(X185,X251) ) ),
file('/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4',predefinitionsA15) ).
fof(770,axiom,
p__d__partition3(c__QuantityChange,c__Increasing,c__Decreasing),
file('/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4',mergeA2401) ).
fof(1032,axiom,
( ! [X29,X244,X245] :
( p__d__disjointDecomposition3(X29,X244,X245)
<=> p__d__disjoint(X244,X245) )
& ! [X29,X244,X245,X246] :
( p__d__disjointDecomposition4(X29,X244,X245,X246)
<=> ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X245,X246) ) )
& ! [X29,X244,X245,X246,X247] :
( p__d__disjointDecomposition5(X29,X244,X245,X246,X247)
<=> ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X244,X247)
& p__d__disjoint(X245,X246)
& p__d__disjoint(X245,X247)
& p__d__disjoint(X246,X247) ) )
& ! [X29,X244,X245,X246,X247,X248] :
( p__d__disjointDecomposition6(X29,X244,X245,X246,X247,X248)
<=> ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X244,X247)
& p__d__disjoint(X244,X248)
& p__d__disjoint(X245,X246)
& p__d__disjoint(X245,X247)
& p__d__disjoint(X245,X248)
& p__d__disjoint(X246,X247)
& p__d__disjoint(X246,X248)
& p__d__disjoint(X247,X248) ) )
& ! [X29,X244,X245,X246,X247,X248,X249] :
( p__d__disjointDecomposition7(X29,X244,X245,X246,X247,X248,X249)
<=> ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X244,X247)
& p__d__disjoint(X244,X248)
& p__d__disjoint(X244,X249)
& p__d__disjoint(X245,X246)
& p__d__disjoint(X245,X247)
& p__d__disjoint(X245,X248)
& p__d__disjoint(X245,X249)
& p__d__disjoint(X246,X247)
& p__d__disjoint(X246,X248)
& p__d__disjoint(X246,X249)
& p__d__disjoint(X247,X248)
& p__d__disjoint(X247,X249)
& p__d__disjoint(X248,X249) ) ) ),
file('/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4',predefinitionsA24) ).
fof(1102,conjecture,
! [X18,X19] :
( ( p__d__instance(X18,c__Decreasing)
& p__d__instance(X19,c__Increasing) )
=> ~ equal(X18,X19) ),
file('/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4',antonymPattern10002) ).
fof(1103,negated_conjecture,
~ ! [X18,X19] :
( ( p__d__instance(X18,c__Decreasing)
& p__d__instance(X19,c__Increasing) )
=> ~ equal(X18,X19) ),
inference(assume_negation,[status(cth)],[1102]) ).
fof(1124,plain,
! [X250,X251] :
( p__d__disjoint(X250,X251)
<=> ! [X185] :
( ~ p__d__instance(X185,X250)
| ~ p__d__instance(X185,X251) ) ),
inference(fof_simplification,[status(thm)],[693,theory(equality)]) ).
fof(3057,plain,
( ! [X29,X244,X245] :
( ( ~ p__d__partition3(X29,X244,X245)
| ( p__d__exhaustiveDecomposition3(X29,X244,X245)
& p__d__disjointDecomposition3(X29,X244,X245) ) )
& ( ~ p__d__exhaustiveDecomposition3(X29,X244,X245)
| ~ p__d__disjointDecomposition3(X29,X244,X245)
| p__d__partition3(X29,X244,X245) ) )
& ! [X29,X244,X245,X246] :
( ( ~ p__d__partition4(X29,X244,X245,X246)
| ( p__d__exhaustiveDecomposition4(X29,X244,X245,X246)
& p__d__disjointDecomposition4(X29,X244,X245,X246) ) )
& ( ~ p__d__exhaustiveDecomposition4(X29,X244,X245,X246)
| ~ p__d__disjointDecomposition4(X29,X244,X245,X246)
| p__d__partition4(X29,X244,X245,X246) ) )
& ! [X29,X244,X245,X246,X247] :
( ( ~ p__d__partition5(X29,X244,X245,X246,X247)
| ( p__d__exhaustiveDecomposition5(X29,X244,X245,X246,X247)
& p__d__disjointDecomposition5(X29,X244,X245,X246,X247) ) )
& ( ~ p__d__exhaustiveDecomposition5(X29,X244,X245,X246,X247)
| ~ p__d__disjointDecomposition5(X29,X244,X245,X246,X247)
| p__d__partition5(X29,X244,X245,X246,X247) ) )
& ! [X29,X244,X245,X246,X247,X248] :
( ( ~ p__d__partition6(X29,X244,X245,X246,X247,X248)
| ( p__d__exhaustiveDecomposition6(X29,X244,X245,X246,X247,X248)
& p__d__disjointDecomposition6(X29,X244,X245,X246,X247,X248) ) )
& ( ~ p__d__exhaustiveDecomposition6(X29,X244,X245,X246,X247,X248)
| ~ p__d__disjointDecomposition6(X29,X244,X245,X246,X247,X248)
| p__d__partition6(X29,X244,X245,X246,X247,X248) ) )
& ! [X29,X244,X245,X246,X247,X248,X249] :
( ( ~ p__d__partition7(X29,X244,X245,X246,X247,X248,X249)
| ( p__d__exhaustiveDecomposition7(X29,X244,X245,X246,X247,X248,X249)
& p__d__disjointDecomposition7(X29,X244,X245,X246,X247,X248,X249) ) )
& ( ~ p__d__exhaustiveDecomposition7(X29,X244,X245,X246,X247,X248,X249)
| ~ p__d__disjointDecomposition7(X29,X244,X245,X246,X247,X248,X249)
| p__d__partition7(X29,X244,X245,X246,X247,X248,X249) ) ) ),
inference(fof_nnf,[status(thm)],[692]) ).
fof(3058,plain,
( ! [X250,X251,X252] :
( ( ~ p__d__partition3(X250,X251,X252)
| ( p__d__exhaustiveDecomposition3(X250,X251,X252)
& p__d__disjointDecomposition3(X250,X251,X252) ) )
& ( ~ p__d__exhaustiveDecomposition3(X250,X251,X252)
| ~ p__d__disjointDecomposition3(X250,X251,X252)
| p__d__partition3(X250,X251,X252) ) )
& ! [X253,X254,X255,X256] :
( ( ~ p__d__partition4(X253,X254,X255,X256)
| ( p__d__exhaustiveDecomposition4(X253,X254,X255,X256)
& p__d__disjointDecomposition4(X253,X254,X255,X256) ) )
& ( ~ p__d__exhaustiveDecomposition4(X253,X254,X255,X256)
| ~ p__d__disjointDecomposition4(X253,X254,X255,X256)
| p__d__partition4(X253,X254,X255,X256) ) )
& ! [X257,X258,X259,X260,X261] :
( ( ~ p__d__partition5(X257,X258,X259,X260,X261)
| ( p__d__exhaustiveDecomposition5(X257,X258,X259,X260,X261)
& p__d__disjointDecomposition5(X257,X258,X259,X260,X261) ) )
& ( ~ p__d__exhaustiveDecomposition5(X257,X258,X259,X260,X261)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261)
| p__d__partition5(X257,X258,X259,X260,X261) ) )
& ! [X262,X263,X264,X265,X266,X267] :
( ( ~ p__d__partition6(X262,X263,X264,X265,X266,X267)
| ( p__d__exhaustiveDecomposition6(X262,X263,X264,X265,X266,X267)
& p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) ) )
& ( ~ p__d__exhaustiveDecomposition6(X262,X263,X264,X265,X266,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267)
| p__d__partition6(X262,X263,X264,X265,X266,X267) ) )
& ! [X268,X269,X270,X271,X272,X273,X274] :
( ( ~ p__d__partition7(X268,X269,X270,X271,X272,X273,X274)
| ( p__d__exhaustiveDecomposition7(X268,X269,X270,X271,X272,X273,X274)
& p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) ) )
& ( ~ p__d__exhaustiveDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| p__d__partition7(X268,X269,X270,X271,X272,X273,X274) ) ) ),
inference(variable_rename,[status(thm)],[3057]) ).
fof(3059,plain,
! [X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274] :
( ( ~ p__d__partition7(X268,X269,X270,X271,X272,X273,X274)
| ( p__d__exhaustiveDecomposition7(X268,X269,X270,X271,X272,X273,X274)
& p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) ) )
& ( ~ p__d__exhaustiveDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| p__d__partition7(X268,X269,X270,X271,X272,X273,X274) )
& ( ~ p__d__partition6(X262,X263,X264,X265,X266,X267)
| ( p__d__exhaustiveDecomposition6(X262,X263,X264,X265,X266,X267)
& p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) ) )
& ( ~ p__d__exhaustiveDecomposition6(X262,X263,X264,X265,X266,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267)
| p__d__partition6(X262,X263,X264,X265,X266,X267) )
& ( ~ p__d__partition5(X257,X258,X259,X260,X261)
| ( p__d__exhaustiveDecomposition5(X257,X258,X259,X260,X261)
& p__d__disjointDecomposition5(X257,X258,X259,X260,X261) ) )
& ( ~ p__d__exhaustiveDecomposition5(X257,X258,X259,X260,X261)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261)
| p__d__partition5(X257,X258,X259,X260,X261) )
& ( ~ p__d__partition4(X253,X254,X255,X256)
| ( p__d__exhaustiveDecomposition4(X253,X254,X255,X256)
& p__d__disjointDecomposition4(X253,X254,X255,X256) ) )
& ( ~ p__d__exhaustiveDecomposition4(X253,X254,X255,X256)
| ~ p__d__disjointDecomposition4(X253,X254,X255,X256)
| p__d__partition4(X253,X254,X255,X256) )
& ( ~ p__d__partition3(X250,X251,X252)
| ( p__d__exhaustiveDecomposition3(X250,X251,X252)
& p__d__disjointDecomposition3(X250,X251,X252) ) )
& ( ~ p__d__exhaustiveDecomposition3(X250,X251,X252)
| ~ p__d__disjointDecomposition3(X250,X251,X252)
| p__d__partition3(X250,X251,X252) ) ),
inference(shift_quantors,[status(thm)],[3058]) ).
fof(3060,plain,
! [X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274] :
( ( p__d__exhaustiveDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ~ p__d__partition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ~ p__d__partition7(X268,X269,X270,X271,X272,X273,X274) )
& ( ~ p__d__exhaustiveDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| p__d__partition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__exhaustiveDecomposition6(X262,X263,X264,X265,X266,X267)
| ~ p__d__partition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267)
| ~ p__d__partition6(X262,X263,X264,X265,X266,X267) )
& ( ~ p__d__exhaustiveDecomposition6(X262,X263,X264,X265,X266,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267)
| p__d__partition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__exhaustiveDecomposition5(X257,X258,X259,X260,X261)
| ~ p__d__partition5(X257,X258,X259,X260,X261) )
& ( p__d__disjointDecomposition5(X257,X258,X259,X260,X261)
| ~ p__d__partition5(X257,X258,X259,X260,X261) )
& ( ~ p__d__exhaustiveDecomposition5(X257,X258,X259,X260,X261)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261)
| p__d__partition5(X257,X258,X259,X260,X261) )
& ( p__d__exhaustiveDecomposition4(X253,X254,X255,X256)
| ~ p__d__partition4(X253,X254,X255,X256) )
& ( p__d__disjointDecomposition4(X253,X254,X255,X256)
| ~ p__d__partition4(X253,X254,X255,X256) )
& ( ~ p__d__exhaustiveDecomposition4(X253,X254,X255,X256)
| ~ p__d__disjointDecomposition4(X253,X254,X255,X256)
| p__d__partition4(X253,X254,X255,X256) )
& ( p__d__exhaustiveDecomposition3(X250,X251,X252)
| ~ p__d__partition3(X250,X251,X252) )
& ( p__d__disjointDecomposition3(X250,X251,X252)
| ~ p__d__partition3(X250,X251,X252) )
& ( ~ p__d__exhaustiveDecomposition3(X250,X251,X252)
| ~ p__d__disjointDecomposition3(X250,X251,X252)
| p__d__partition3(X250,X251,X252) ) ),
inference(distribute,[status(thm)],[3059]) ).
cnf(3062,plain,
( p__d__disjointDecomposition3(X1,X2,X3)
| ~ p__d__partition3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[3060]) ).
fof(3076,plain,
! [X250,X251] :
( ( ~ p__d__disjoint(X250,X251)
| ! [X185] :
( ~ p__d__instance(X185,X250)
| ~ p__d__instance(X185,X251) ) )
& ( ? [X185] :
( p__d__instance(X185,X250)
& p__d__instance(X185,X251) )
| p__d__disjoint(X250,X251) ) ),
inference(fof_nnf,[status(thm)],[1124]) ).
fof(3077,plain,
! [X252,X253] :
( ( ~ p__d__disjoint(X252,X253)
| ! [X254] :
( ~ p__d__instance(X254,X252)
| ~ p__d__instance(X254,X253) ) )
& ( ? [X255] :
( p__d__instance(X255,X252)
& p__d__instance(X255,X253) )
| p__d__disjoint(X252,X253) ) ),
inference(variable_rename,[status(thm)],[3076]) ).
fof(3078,plain,
! [X252,X253] :
( ( ~ p__d__disjoint(X252,X253)
| ! [X254] :
( ~ p__d__instance(X254,X252)
| ~ p__d__instance(X254,X253) ) )
& ( ( p__d__instance(esk167_2(X252,X253),X252)
& p__d__instance(esk167_2(X252,X253),X253) )
| p__d__disjoint(X252,X253) ) ),
inference(skolemize,[status(esa)],[3077]) ).
fof(3079,plain,
! [X252,X253,X254] :
( ( ~ p__d__instance(X254,X252)
| ~ p__d__instance(X254,X253)
| ~ p__d__disjoint(X252,X253) )
& ( ( p__d__instance(esk167_2(X252,X253),X252)
& p__d__instance(esk167_2(X252,X253),X253) )
| p__d__disjoint(X252,X253) ) ),
inference(shift_quantors,[status(thm)],[3078]) ).
fof(3080,plain,
! [X252,X253,X254] :
( ( ~ p__d__instance(X254,X252)
| ~ p__d__instance(X254,X253)
| ~ p__d__disjoint(X252,X253) )
& ( p__d__instance(esk167_2(X252,X253),X252)
| p__d__disjoint(X252,X253) )
& ( p__d__instance(esk167_2(X252,X253),X253)
| p__d__disjoint(X252,X253) ) ),
inference(distribute,[status(thm)],[3079]) ).
cnf(3083,plain,
( ~ p__d__disjoint(X1,X2)
| ~ p__d__instance(X3,X2)
| ~ p__d__instance(X3,X1) ),
inference(split_conjunct,[status(thm)],[3080]) ).
cnf(3252,plain,
p__d__partition3(c__QuantityChange,c__Increasing,c__Decreasing),
inference(split_conjunct,[status(thm)],[770]) ).
fof(3960,plain,
( ! [X29,X244,X245] :
( ( ~ p__d__disjointDecomposition3(X29,X244,X245)
| p__d__disjoint(X244,X245) )
& ( ~ p__d__disjoint(X244,X245)
| p__d__disjointDecomposition3(X29,X244,X245) ) )
& ! [X29,X244,X245,X246] :
( ( ~ p__d__disjointDecomposition4(X29,X244,X245,X246)
| ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X245,X246) ) )
& ( ~ p__d__disjoint(X244,X245)
| ~ p__d__disjoint(X244,X246)
| ~ p__d__disjoint(X245,X246)
| p__d__disjointDecomposition4(X29,X244,X245,X246) ) )
& ! [X29,X244,X245,X246,X247] :
( ( ~ p__d__disjointDecomposition5(X29,X244,X245,X246,X247)
| ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X244,X247)
& p__d__disjoint(X245,X246)
& p__d__disjoint(X245,X247)
& p__d__disjoint(X246,X247) ) )
& ( ~ p__d__disjoint(X244,X245)
| ~ p__d__disjoint(X244,X246)
| ~ p__d__disjoint(X244,X247)
| ~ p__d__disjoint(X245,X246)
| ~ p__d__disjoint(X245,X247)
| ~ p__d__disjoint(X246,X247)
| p__d__disjointDecomposition5(X29,X244,X245,X246,X247) ) )
& ! [X29,X244,X245,X246,X247,X248] :
( ( ~ p__d__disjointDecomposition6(X29,X244,X245,X246,X247,X248)
| ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X244,X247)
& p__d__disjoint(X244,X248)
& p__d__disjoint(X245,X246)
& p__d__disjoint(X245,X247)
& p__d__disjoint(X245,X248)
& p__d__disjoint(X246,X247)
& p__d__disjoint(X246,X248)
& p__d__disjoint(X247,X248) ) )
& ( ~ p__d__disjoint(X244,X245)
| ~ p__d__disjoint(X244,X246)
| ~ p__d__disjoint(X244,X247)
| ~ p__d__disjoint(X244,X248)
| ~ p__d__disjoint(X245,X246)
| ~ p__d__disjoint(X245,X247)
| ~ p__d__disjoint(X245,X248)
| ~ p__d__disjoint(X246,X247)
| ~ p__d__disjoint(X246,X248)
| ~ p__d__disjoint(X247,X248)
| p__d__disjointDecomposition6(X29,X244,X245,X246,X247,X248) ) )
& ! [X29,X244,X245,X246,X247,X248,X249] :
( ( ~ p__d__disjointDecomposition7(X29,X244,X245,X246,X247,X248,X249)
| ( p__d__disjoint(X244,X245)
& p__d__disjoint(X244,X246)
& p__d__disjoint(X244,X247)
& p__d__disjoint(X244,X248)
& p__d__disjoint(X244,X249)
& p__d__disjoint(X245,X246)
& p__d__disjoint(X245,X247)
& p__d__disjoint(X245,X248)
& p__d__disjoint(X245,X249)
& p__d__disjoint(X246,X247)
& p__d__disjoint(X246,X248)
& p__d__disjoint(X246,X249)
& p__d__disjoint(X247,X248)
& p__d__disjoint(X247,X249)
& p__d__disjoint(X248,X249) ) )
& ( ~ p__d__disjoint(X244,X245)
| ~ p__d__disjoint(X244,X246)
| ~ p__d__disjoint(X244,X247)
| ~ p__d__disjoint(X244,X248)
| ~ p__d__disjoint(X244,X249)
| ~ p__d__disjoint(X245,X246)
| ~ p__d__disjoint(X245,X247)
| ~ p__d__disjoint(X245,X248)
| ~ p__d__disjoint(X245,X249)
| ~ p__d__disjoint(X246,X247)
| ~ p__d__disjoint(X246,X248)
| ~ p__d__disjoint(X246,X249)
| ~ p__d__disjoint(X247,X248)
| ~ p__d__disjoint(X247,X249)
| ~ p__d__disjoint(X248,X249)
| p__d__disjointDecomposition7(X29,X244,X245,X246,X247,X248,X249) ) ) ),
inference(fof_nnf,[status(thm)],[1032]) ).
fof(3961,plain,
( ! [X250,X251,X252] :
( ( ~ p__d__disjointDecomposition3(X250,X251,X252)
| p__d__disjoint(X251,X252) )
& ( ~ p__d__disjoint(X251,X252)
| p__d__disjointDecomposition3(X250,X251,X252) ) )
& ! [X253,X254,X255,X256] :
( ( ~ p__d__disjointDecomposition4(X253,X254,X255,X256)
| ( p__d__disjoint(X254,X255)
& p__d__disjoint(X254,X256)
& p__d__disjoint(X255,X256) ) )
& ( ~ p__d__disjoint(X254,X255)
| ~ p__d__disjoint(X254,X256)
| ~ p__d__disjoint(X255,X256)
| p__d__disjointDecomposition4(X253,X254,X255,X256) ) )
& ! [X257,X258,X259,X260,X261] :
( ( ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261)
| ( p__d__disjoint(X258,X259)
& p__d__disjoint(X258,X260)
& p__d__disjoint(X258,X261)
& p__d__disjoint(X259,X260)
& p__d__disjoint(X259,X261)
& p__d__disjoint(X260,X261) ) )
& ( ~ p__d__disjoint(X258,X259)
| ~ p__d__disjoint(X258,X260)
| ~ p__d__disjoint(X258,X261)
| ~ p__d__disjoint(X259,X260)
| ~ p__d__disjoint(X259,X261)
| ~ p__d__disjoint(X260,X261)
| p__d__disjointDecomposition5(X257,X258,X259,X260,X261) ) )
& ! [X262,X263,X264,X265,X266,X267] :
( ( ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267)
| ( p__d__disjoint(X263,X264)
& p__d__disjoint(X263,X265)
& p__d__disjoint(X263,X266)
& p__d__disjoint(X263,X267)
& p__d__disjoint(X264,X265)
& p__d__disjoint(X264,X266)
& p__d__disjoint(X264,X267)
& p__d__disjoint(X265,X266)
& p__d__disjoint(X265,X267)
& p__d__disjoint(X266,X267) ) )
& ( ~ p__d__disjoint(X263,X264)
| ~ p__d__disjoint(X263,X265)
| ~ p__d__disjoint(X263,X266)
| ~ p__d__disjoint(X263,X267)
| ~ p__d__disjoint(X264,X265)
| ~ p__d__disjoint(X264,X266)
| ~ p__d__disjoint(X264,X267)
| ~ p__d__disjoint(X265,X266)
| ~ p__d__disjoint(X265,X267)
| ~ p__d__disjoint(X266,X267)
| p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) ) )
& ! [X268,X269,X270,X271,X272,X273,X274] :
( ( ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ( p__d__disjoint(X269,X270)
& p__d__disjoint(X269,X271)
& p__d__disjoint(X269,X272)
& p__d__disjoint(X269,X273)
& p__d__disjoint(X269,X274)
& p__d__disjoint(X270,X271)
& p__d__disjoint(X270,X272)
& p__d__disjoint(X270,X273)
& p__d__disjoint(X270,X274)
& p__d__disjoint(X271,X272)
& p__d__disjoint(X271,X273)
& p__d__disjoint(X271,X274)
& p__d__disjoint(X272,X273)
& p__d__disjoint(X272,X274)
& p__d__disjoint(X273,X274) ) )
& ( ~ p__d__disjoint(X269,X270)
| ~ p__d__disjoint(X269,X271)
| ~ p__d__disjoint(X269,X272)
| ~ p__d__disjoint(X269,X273)
| ~ p__d__disjoint(X269,X274)
| ~ p__d__disjoint(X270,X271)
| ~ p__d__disjoint(X270,X272)
| ~ p__d__disjoint(X270,X273)
| ~ p__d__disjoint(X270,X274)
| ~ p__d__disjoint(X271,X272)
| ~ p__d__disjoint(X271,X273)
| ~ p__d__disjoint(X271,X274)
| ~ p__d__disjoint(X272,X273)
| ~ p__d__disjoint(X272,X274)
| ~ p__d__disjoint(X273,X274)
| p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) ) ) ),
inference(variable_rename,[status(thm)],[3960]) ).
fof(3962,plain,
! [X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274] :
( ( ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274)
| ( p__d__disjoint(X269,X270)
& p__d__disjoint(X269,X271)
& p__d__disjoint(X269,X272)
& p__d__disjoint(X269,X273)
& p__d__disjoint(X269,X274)
& p__d__disjoint(X270,X271)
& p__d__disjoint(X270,X272)
& p__d__disjoint(X270,X273)
& p__d__disjoint(X270,X274)
& p__d__disjoint(X271,X272)
& p__d__disjoint(X271,X273)
& p__d__disjoint(X271,X274)
& p__d__disjoint(X272,X273)
& p__d__disjoint(X272,X274)
& p__d__disjoint(X273,X274) ) )
& ( ~ p__d__disjoint(X269,X270)
| ~ p__d__disjoint(X269,X271)
| ~ p__d__disjoint(X269,X272)
| ~ p__d__disjoint(X269,X273)
| ~ p__d__disjoint(X269,X274)
| ~ p__d__disjoint(X270,X271)
| ~ p__d__disjoint(X270,X272)
| ~ p__d__disjoint(X270,X273)
| ~ p__d__disjoint(X270,X274)
| ~ p__d__disjoint(X271,X272)
| ~ p__d__disjoint(X271,X273)
| ~ p__d__disjoint(X271,X274)
| ~ p__d__disjoint(X272,X273)
| ~ p__d__disjoint(X272,X274)
| ~ p__d__disjoint(X273,X274)
| p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267)
| ( p__d__disjoint(X263,X264)
& p__d__disjoint(X263,X265)
& p__d__disjoint(X263,X266)
& p__d__disjoint(X263,X267)
& p__d__disjoint(X264,X265)
& p__d__disjoint(X264,X266)
& p__d__disjoint(X264,X267)
& p__d__disjoint(X265,X266)
& p__d__disjoint(X265,X267)
& p__d__disjoint(X266,X267) ) )
& ( ~ p__d__disjoint(X263,X264)
| ~ p__d__disjoint(X263,X265)
| ~ p__d__disjoint(X263,X266)
| ~ p__d__disjoint(X263,X267)
| ~ p__d__disjoint(X264,X265)
| ~ p__d__disjoint(X264,X266)
| ~ p__d__disjoint(X264,X267)
| ~ p__d__disjoint(X265,X266)
| ~ p__d__disjoint(X265,X267)
| ~ p__d__disjoint(X266,X267)
| p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261)
| ( p__d__disjoint(X258,X259)
& p__d__disjoint(X258,X260)
& p__d__disjoint(X258,X261)
& p__d__disjoint(X259,X260)
& p__d__disjoint(X259,X261)
& p__d__disjoint(X260,X261) ) )
& ( ~ p__d__disjoint(X258,X259)
| ~ p__d__disjoint(X258,X260)
| ~ p__d__disjoint(X258,X261)
| ~ p__d__disjoint(X259,X260)
| ~ p__d__disjoint(X259,X261)
| ~ p__d__disjoint(X260,X261)
| p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( ~ p__d__disjointDecomposition4(X253,X254,X255,X256)
| ( p__d__disjoint(X254,X255)
& p__d__disjoint(X254,X256)
& p__d__disjoint(X255,X256) ) )
& ( ~ p__d__disjoint(X254,X255)
| ~ p__d__disjoint(X254,X256)
| ~ p__d__disjoint(X255,X256)
| p__d__disjointDecomposition4(X253,X254,X255,X256) )
& ( ~ p__d__disjointDecomposition3(X250,X251,X252)
| p__d__disjoint(X251,X252) )
& ( ~ p__d__disjoint(X251,X252)
| p__d__disjointDecomposition3(X250,X251,X252) ) ),
inference(shift_quantors,[status(thm)],[3961]) ).
fof(3963,plain,
! [X250,X251,X252,X253,X254,X255,X256,X257,X258,X259,X260,X261,X262,X263,X264,X265,X266,X267,X268,X269,X270,X271,X272,X273,X274] :
( ( p__d__disjoint(X269,X270)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X269,X271)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X269,X272)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X269,X273)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X269,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X270,X271)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X270,X272)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X270,X273)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X270,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X271,X272)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X271,X273)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X271,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X272,X273)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X272,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X273,X274)
| ~ p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( ~ p__d__disjoint(X269,X270)
| ~ p__d__disjoint(X269,X271)
| ~ p__d__disjoint(X269,X272)
| ~ p__d__disjoint(X269,X273)
| ~ p__d__disjoint(X269,X274)
| ~ p__d__disjoint(X270,X271)
| ~ p__d__disjoint(X270,X272)
| ~ p__d__disjoint(X270,X273)
| ~ p__d__disjoint(X270,X274)
| ~ p__d__disjoint(X271,X272)
| ~ p__d__disjoint(X271,X273)
| ~ p__d__disjoint(X271,X274)
| ~ p__d__disjoint(X272,X273)
| ~ p__d__disjoint(X272,X274)
| ~ p__d__disjoint(X273,X274)
| p__d__disjointDecomposition7(X268,X269,X270,X271,X272,X273,X274) )
& ( p__d__disjoint(X263,X264)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X263,X265)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X263,X266)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X263,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X264,X265)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X264,X266)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X264,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X265,X266)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X265,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X266,X267)
| ~ p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( ~ p__d__disjoint(X263,X264)
| ~ p__d__disjoint(X263,X265)
| ~ p__d__disjoint(X263,X266)
| ~ p__d__disjoint(X263,X267)
| ~ p__d__disjoint(X264,X265)
| ~ p__d__disjoint(X264,X266)
| ~ p__d__disjoint(X264,X267)
| ~ p__d__disjoint(X265,X266)
| ~ p__d__disjoint(X265,X267)
| ~ p__d__disjoint(X266,X267)
| p__d__disjointDecomposition6(X262,X263,X264,X265,X266,X267) )
& ( p__d__disjoint(X258,X259)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( p__d__disjoint(X258,X260)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( p__d__disjoint(X258,X261)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( p__d__disjoint(X259,X260)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( p__d__disjoint(X259,X261)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( p__d__disjoint(X260,X261)
| ~ p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( ~ p__d__disjoint(X258,X259)
| ~ p__d__disjoint(X258,X260)
| ~ p__d__disjoint(X258,X261)
| ~ p__d__disjoint(X259,X260)
| ~ p__d__disjoint(X259,X261)
| ~ p__d__disjoint(X260,X261)
| p__d__disjointDecomposition5(X257,X258,X259,X260,X261) )
& ( p__d__disjoint(X254,X255)
| ~ p__d__disjointDecomposition4(X253,X254,X255,X256) )
& ( p__d__disjoint(X254,X256)
| ~ p__d__disjointDecomposition4(X253,X254,X255,X256) )
& ( p__d__disjoint(X255,X256)
| ~ p__d__disjointDecomposition4(X253,X254,X255,X256) )
& ( ~ p__d__disjoint(X254,X255)
| ~ p__d__disjoint(X254,X256)
| ~ p__d__disjoint(X255,X256)
| p__d__disjointDecomposition4(X253,X254,X255,X256) )
& ( ~ p__d__disjointDecomposition3(X250,X251,X252)
| p__d__disjoint(X251,X252) )
& ( ~ p__d__disjoint(X251,X252)
| p__d__disjointDecomposition3(X250,X251,X252) ) ),
inference(distribute,[status(thm)],[3962]) ).
cnf(3965,plain,
( p__d__disjoint(X1,X2)
| ~ p__d__disjointDecomposition3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[3963]) ).
fof(4162,negated_conjecture,
? [X18,X19] :
( p__d__instance(X18,c__Decreasing)
& p__d__instance(X19,c__Increasing)
& equal(X18,X19) ),
inference(fof_nnf,[status(thm)],[1103]) ).
fof(4163,negated_conjecture,
? [X20,X21] :
( p__d__instance(X20,c__Decreasing)
& p__d__instance(X21,c__Increasing)
& equal(X20,X21) ),
inference(variable_rename,[status(thm)],[4162]) ).
fof(4164,negated_conjecture,
( p__d__instance(esk241_0,c__Decreasing)
& p__d__instance(esk242_0,c__Increasing)
& equal(esk241_0,esk242_0) ),
inference(skolemize,[status(esa)],[4163]) ).
cnf(4165,negated_conjecture,
esk241_0 = esk242_0,
inference(split_conjunct,[status(thm)],[4164]) ).
cnf(4166,negated_conjecture,
p__d__instance(esk242_0,c__Increasing),
inference(split_conjunct,[status(thm)],[4164]) ).
cnf(4167,negated_conjecture,
p__d__instance(esk241_0,c__Decreasing),
inference(split_conjunct,[status(thm)],[4164]) ).
cnf(4168,negated_conjecture,
p__d__instance(esk241_0,c__Increasing),
inference(rw,[status(thm)],[4166,4165,theory(equality)]) ).
cnf(5639,plain,
( p__d__disjoint(X1,X2)
| ~ p__d__partition3(X3,X1,X2) ),
inference(spm,[status(thm)],[3965,3062,theory(equality)]) ).
cnf(27938,plain,
p__d__disjoint(c__Increasing,c__Decreasing),
inference(spm,[status(thm)],[5639,3252,theory(equality)]) ).
cnf(27955,plain,
( ~ p__d__instance(X1,c__Decreasing)
| ~ p__d__instance(X1,c__Increasing) ),
inference(spm,[status(thm)],[3083,27938,theory(equality)]) ).
cnf(27959,negated_conjecture,
~ p__d__instance(esk241_0,c__Decreasing),
inference(spm,[status(thm)],[27955,4168,theory(equality)]) ).
cnf(27984,negated_conjecture,
$false,
inference(rw,[status(thm)],[27959,4167,theory(equality)]) ).
cnf(27985,negated_conjecture,
$false,
inference(cn,[status(thm)],[27984,theory(equality)]) ).
cnf(27986,negated_conjecture,
$false,
27985,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR158+1 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : sine.py -e eprover -t %d %s
% 0.03/0.25 % Computer : n192.star.cs.uiowa.edu
% 0.03/0.25 % Model : x86_64 x86_64
% 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25 % Memory : 32218.5MB
% 0.03/0.25 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25 % CPULimit : 300
% 0.03/0.25 % DateTime : Tue Feb 19 12:55:28 CST 2019
% 0.03/0.25 % CPUTime :
% 0.09/0.30 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 --creating new selector for [CSR006+0.ax]
% 0.56/0.83 -running prover on /export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_1 with time limit 29
% 0.56/0.83 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_1']
% 0.56/0.83 -prover status CounterSatisfiable
% 0.56/0.83 -running prover on /export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_2 with time limit 89
% 0.56/0.83 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=89', '/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_2']
% 0.56/0.83 -prover status CounterSatisfiable
% 0.56/0.83 --creating new selector for [CSR006+0.ax]
% 0.88/1.10 -running prover on /export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_3 with time limit 119
% 0.88/1.10 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=119', '/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_3']
% 0.88/1.10 -prover status CounterSatisfiable
% 0.88/1.10 --creating new selector for [CSR006+0.ax]
% 4.71/4.96 -running prover on /export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4 with time limit 149
% 4.71/4.96 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=149', '/export/starexec/sandbox/tmp/tmpf5w1SC/sel_theBenchmark.p_4']
% 4.71/4.96 -prover status Theorem
% 4.71/4.96 Problem theBenchmark.p solved in phase 3.
% 4.71/4.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.96 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.71/4.96 Solved 1 out of 1.
% 4.71/4.96 # Problem is unsatisfiable (or provable), constructing proof object
% 4.71/4.96 # SZS status Theorem
% 4.71/4.96 # SZS output start CNFRefutation.
% See solution above
% 4.81/5.00 # SZS output end CNFRefutation
%------------------------------------------------------------------------------