TSTP Solution File: CSR159+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR159+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : 300s
% DateTime : Sun May 5 05:03:58 EDT 2024
% Result : Theorem 33.58s 5.34s
% Output : Refutation 33.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 395 ( 8 equ)
% Maximal formula atoms : 80 ( 12 avg)
% Number of connectives : 494 ( 131 ~; 125 |; 212 &)
% ( 22 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-7 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 239 ( 230 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199037,plain,
$false,
inference(unit_resulting_resolution,[],[f18904,f30713,f49913,f29305]) ).
fof(f29305,plain,
! [X3,X0,X1] :
( ~ p__d__disjoint(X0,X1)
| ~ p__d__instance(X3,X0)
| ~ p__d__instance(X3,X1) ),
inference(cnf_transformation,[],[f18471]) ).
fof(f18471,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ( p__d__instance(sK1780(X0,X1),X1)
& p__d__instance(sK1780(X0,X1),X0) ) )
& ( ! [X3] :
( ~ p__d__instance(X3,X1)
| ~ p__d__instance(X3,X0) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1780])],[f18469,f18470]) ).
fof(f18470,plain,
! [X0,X1] :
( ? [X2] :
( p__d__instance(X2,X1)
& p__d__instance(X2,X0) )
=> ( p__d__instance(sK1780(X0,X1),X1)
& p__d__instance(sK1780(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f18469,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ? [X2] :
( p__d__instance(X2,X1)
& p__d__instance(X2,X0) ) )
& ( ! [X3] :
( ~ p__d__instance(X3,X1)
| ~ p__d__instance(X3,X0) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(rectify,[],[f18468]) ).
fof(f18468,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ? [X2] :
( p__d__instance(X2,X1)
& p__d__instance(X2,X0) ) )
& ( ! [X2] :
( ~ p__d__instance(X2,X1)
| ~ p__d__instance(X2,X0) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f9699]) ).
fof(f9699,plain,
! [X0,X1] :
( p__d__disjoint(X0,X1)
<=> ! [X2] :
( ~ p__d__instance(X2,X1)
| ~ p__d__instance(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3,X4] :
( p__d__disjoint(X3,X4)
<=> ! [X5] :
( ~ p__d__instance(X5,X4)
| ~ p__d__instance(X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA15) ).
fof(f49913,plain,
p__d__disjoint(c__OddInteger,c__EvenInteger),
inference(unit_resulting_resolution,[],[f49811,f23671]) ).
fof(f23671,plain,
! [X24,X22,X23] :
( ~ p__d__disjointDecomposition3(X22,X23,X24)
| p__d__disjoint(X23,X24) ),
inference(cnf_transformation,[],[f15606]) ).
fof(f15606,plain,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
| ~ p__d__disjoint(X5,X6)
| ~ p__d__disjoint(X4,X6)
| ~ p__d__disjoint(X4,X5)
| ~ p__d__disjoint(X3,X6)
| ~ p__d__disjoint(X3,X5)
| ~ p__d__disjoint(X3,X4)
| ~ p__d__disjoint(X2,X6)
| ~ p__d__disjoint(X2,X5)
| ~ p__d__disjoint(X2,X4)
| ~ p__d__disjoint(X2,X3)
| ~ p__d__disjoint(X1,X6)
| ~ p__d__disjoint(X1,X5)
| ~ p__d__disjoint(X1,X4)
| ~ p__d__disjoint(X1,X3)
| ~ p__d__disjoint(X1,X2) )
& ( ( p__d__disjoint(X5,X6)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X4,X5)
& p__d__disjoint(X3,X6)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X2,X6)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X1,X6)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X2) )
| ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11,X12] :
( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
| ~ p__d__disjoint(X11,X12)
| ~ p__d__disjoint(X10,X12)
| ~ p__d__disjoint(X10,X11)
| ~ p__d__disjoint(X9,X12)
| ~ p__d__disjoint(X9,X11)
| ~ p__d__disjoint(X9,X10)
| ~ p__d__disjoint(X8,X12)
| ~ p__d__disjoint(X8,X11)
| ~ p__d__disjoint(X8,X10)
| ~ p__d__disjoint(X8,X9) )
& ( ( p__d__disjoint(X11,X12)
& p__d__disjoint(X10,X12)
& p__d__disjoint(X10,X11)
& p__d__disjoint(X9,X12)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X8,X12)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X9) )
| ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12) ) )
& ! [X13,X14,X15,X16,X17] :
( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
| ~ p__d__disjoint(X16,X17)
| ~ p__d__disjoint(X15,X17)
| ~ p__d__disjoint(X15,X16)
| ~ p__d__disjoint(X14,X17)
| ~ p__d__disjoint(X14,X16)
| ~ p__d__disjoint(X14,X15) )
& ( ( p__d__disjoint(X16,X17)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X15) )
| ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21] :
( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
| ~ p__d__disjoint(X20,X21)
| ~ p__d__disjoint(X19,X21)
| ~ p__d__disjoint(X19,X20) )
& ( ( p__d__disjoint(X20,X21)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X20) )
| ~ p__d__disjointDecomposition4(X18,X19,X20,X21) ) )
& ! [X22,X23,X24] :
( ( p__d__disjointDecomposition3(X22,X23,X24)
| ~ p__d__disjoint(X23,X24) )
& ( p__d__disjoint(X23,X24)
| ~ p__d__disjointDecomposition3(X22,X23,X24) ) ) ),
inference(flattening,[],[f15605]) ).
fof(f15605,plain,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
| ~ p__d__disjoint(X5,X6)
| ~ p__d__disjoint(X4,X6)
| ~ p__d__disjoint(X4,X5)
| ~ p__d__disjoint(X3,X6)
| ~ p__d__disjoint(X3,X5)
| ~ p__d__disjoint(X3,X4)
| ~ p__d__disjoint(X2,X6)
| ~ p__d__disjoint(X2,X5)
| ~ p__d__disjoint(X2,X4)
| ~ p__d__disjoint(X2,X3)
| ~ p__d__disjoint(X1,X6)
| ~ p__d__disjoint(X1,X5)
| ~ p__d__disjoint(X1,X4)
| ~ p__d__disjoint(X1,X3)
| ~ p__d__disjoint(X1,X2) )
& ( ( p__d__disjoint(X5,X6)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X4,X5)
& p__d__disjoint(X3,X6)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X2,X6)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X1,X6)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X2) )
| ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11,X12] :
( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
| ~ p__d__disjoint(X11,X12)
| ~ p__d__disjoint(X10,X12)
| ~ p__d__disjoint(X10,X11)
| ~ p__d__disjoint(X9,X12)
| ~ p__d__disjoint(X9,X11)
| ~ p__d__disjoint(X9,X10)
| ~ p__d__disjoint(X8,X12)
| ~ p__d__disjoint(X8,X11)
| ~ p__d__disjoint(X8,X10)
| ~ p__d__disjoint(X8,X9) )
& ( ( p__d__disjoint(X11,X12)
& p__d__disjoint(X10,X12)
& p__d__disjoint(X10,X11)
& p__d__disjoint(X9,X12)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X8,X12)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X9) )
| ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12) ) )
& ! [X13,X14,X15,X16,X17] :
( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
| ~ p__d__disjoint(X16,X17)
| ~ p__d__disjoint(X15,X17)
| ~ p__d__disjoint(X15,X16)
| ~ p__d__disjoint(X14,X17)
| ~ p__d__disjoint(X14,X16)
| ~ p__d__disjoint(X14,X15) )
& ( ( p__d__disjoint(X16,X17)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X15) )
| ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21] :
( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
| ~ p__d__disjoint(X20,X21)
| ~ p__d__disjoint(X19,X21)
| ~ p__d__disjoint(X19,X20) )
& ( ( p__d__disjoint(X20,X21)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X20) )
| ~ p__d__disjointDecomposition4(X18,X19,X20,X21) ) )
& ! [X22,X23,X24] :
( ( p__d__disjointDecomposition3(X22,X23,X24)
| ~ p__d__disjoint(X23,X24) )
& ( p__d__disjoint(X23,X24)
| ~ p__d__disjointDecomposition3(X22,X23,X24) ) ) ),
inference(nnf_transformation,[],[f7438]) ).
fof(f7438,plain,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
<=> ( p__d__disjoint(X5,X6)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X4,X5)
& p__d__disjoint(X3,X6)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X2,X6)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X1,X6)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X2) ) )
& ! [X7,X8,X9,X10,X11,X12] :
( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
<=> ( p__d__disjoint(X11,X12)
& p__d__disjoint(X10,X12)
& p__d__disjoint(X10,X11)
& p__d__disjoint(X9,X12)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X8,X12)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X9) ) )
& ! [X13,X14,X15,X16,X17] :
( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
<=> ( p__d__disjoint(X16,X17)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X15) ) )
& ! [X18,X19,X20,X21] :
( p__d__disjointDecomposition4(X18,X19,X20,X21)
<=> ( p__d__disjoint(X20,X21)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X20) ) )
& ! [X22,X23,X24] :
( p__d__disjointDecomposition3(X22,X23,X24)
<=> p__d__disjoint(X23,X24) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
( ! [X6,X7,X8,X9,X10,X11,X12] :
( p__d__disjointDecomposition7(X6,X7,X8,X9,X10,X11,X12)
<=> ( p__d__disjoint(X11,X12)
& p__d__disjoint(X10,X12)
& p__d__disjoint(X10,X11)
& p__d__disjoint(X9,X12)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X8,X12)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X9)
& p__d__disjoint(X7,X12)
& p__d__disjoint(X7,X11)
& p__d__disjoint(X7,X10)
& p__d__disjoint(X7,X9)
& p__d__disjoint(X7,X8) ) )
& ! [X6,X7,X8,X9,X10,X11] :
( p__d__disjointDecomposition6(X6,X7,X8,X9,X10,X11)
<=> ( p__d__disjoint(X10,X11)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X9)
& p__d__disjoint(X7,X11)
& p__d__disjoint(X7,X10)
& p__d__disjoint(X7,X9)
& p__d__disjoint(X7,X8) ) )
& ! [X6,X7,X8,X9,X10] :
( p__d__disjointDecomposition5(X6,X7,X8,X9,X10)
<=> ( p__d__disjoint(X9,X10)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X9)
& p__d__disjoint(X7,X10)
& p__d__disjoint(X7,X9)
& p__d__disjoint(X7,X8) ) )
& ! [X6,X7,X8,X9] :
( p__d__disjointDecomposition4(X6,X7,X8,X9)
<=> ( p__d__disjoint(X8,X9)
& p__d__disjoint(X7,X9)
& p__d__disjoint(X7,X8) ) )
& ! [X6,X7,X8] :
( p__d__disjointDecomposition3(X6,X7,X8)
<=> p__d__disjoint(X7,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA24) ).
fof(f49811,plain,
p__d__disjointDecomposition3(c__Integer,c__OddInteger,c__EvenInteger),
inference(unit_resulting_resolution,[],[f23505,f23712]) ).
fof(f23712,plain,
! [X24,X22,X23] :
( ~ p__d__partition3(X22,X23,X24)
| p__d__disjointDecomposition3(X22,X23,X24) ),
inference(cnf_transformation,[],[f15608]) ).
fof(f15608,plain,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
| ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
| ~ p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
& ( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
& p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
| ~ p__d__partition7(X0,X1,X2,X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11,X12] :
( ( p__d__partition6(X7,X8,X9,X10,X11,X12)
| ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
| ~ p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
& ( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
& p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
| ~ p__d__partition6(X7,X8,X9,X10,X11,X12) ) )
& ! [X13,X14,X15,X16,X17] :
( ( p__d__partition5(X13,X14,X15,X16,X17)
| ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
| ~ p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
& ( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
& p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
| ~ p__d__partition5(X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21] :
( ( p__d__partition4(X18,X19,X20,X21)
| ~ p__d__disjointDecomposition4(X18,X19,X20,X21)
| ~ p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
& ( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
& p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
| ~ p__d__partition4(X18,X19,X20,X21) ) )
& ! [X22,X23,X24] :
( ( p__d__partition3(X22,X23,X24)
| ~ p__d__disjointDecomposition3(X22,X23,X24)
| ~ p__d__exhaustiveDecomposition3(X22,X23,X24) )
& ( ( p__d__disjointDecomposition3(X22,X23,X24)
& p__d__exhaustiveDecomposition3(X22,X23,X24) )
| ~ p__d__partition3(X22,X23,X24) ) ) ),
inference(flattening,[],[f15607]) ).
fof(f15607,plain,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
| ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
| ~ p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
& ( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
& p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
| ~ p__d__partition7(X0,X1,X2,X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11,X12] :
( ( p__d__partition6(X7,X8,X9,X10,X11,X12)
| ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
| ~ p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
& ( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
& p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
| ~ p__d__partition6(X7,X8,X9,X10,X11,X12) ) )
& ! [X13,X14,X15,X16,X17] :
( ( p__d__partition5(X13,X14,X15,X16,X17)
| ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
| ~ p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
& ( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
& p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
| ~ p__d__partition5(X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21] :
( ( p__d__partition4(X18,X19,X20,X21)
| ~ p__d__disjointDecomposition4(X18,X19,X20,X21)
| ~ p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
& ( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
& p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
| ~ p__d__partition4(X18,X19,X20,X21) ) )
& ! [X22,X23,X24] :
( ( p__d__partition3(X22,X23,X24)
| ~ p__d__disjointDecomposition3(X22,X23,X24)
| ~ p__d__exhaustiveDecomposition3(X22,X23,X24) )
& ( ( p__d__disjointDecomposition3(X22,X23,X24)
& p__d__exhaustiveDecomposition3(X22,X23,X24) )
| ~ p__d__partition3(X22,X23,X24) ) ) ),
inference(nnf_transformation,[],[f7439]) ).
fof(f7439,plain,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
<=> ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
& p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11,X12] :
( p__d__partition6(X7,X8,X9,X10,X11,X12)
<=> ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
& p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) ) )
& ! [X13,X14,X15,X16,X17] :
( p__d__partition5(X13,X14,X15,X16,X17)
<=> ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
& p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21] :
( p__d__partition4(X18,X19,X20,X21)
<=> ( p__d__disjointDecomposition4(X18,X19,X20,X21)
& p__d__exhaustiveDecomposition4(X18,X19,X20,X21) ) )
& ! [X22,X23,X24] :
( p__d__partition3(X22,X23,X24)
<=> ( p__d__disjointDecomposition3(X22,X23,X24)
& p__d__exhaustiveDecomposition3(X22,X23,X24) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
( ! [X6,X7,X8,X9,X10,X11,X12] :
( p__d__partition7(X6,X7,X8,X9,X10,X11,X12)
<=> ( p__d__disjointDecomposition7(X6,X7,X8,X9,X10,X11,X12)
& p__d__exhaustiveDecomposition7(X6,X7,X8,X9,X10,X11,X12) ) )
& ! [X6,X7,X8,X9,X10,X11] :
( p__d__partition6(X6,X7,X8,X9,X10,X11)
<=> ( p__d__disjointDecomposition6(X6,X7,X8,X9,X10,X11)
& p__d__exhaustiveDecomposition6(X6,X7,X8,X9,X10,X11) ) )
& ! [X6,X7,X8,X9,X10] :
( p__d__partition5(X6,X7,X8,X9,X10)
<=> ( p__d__disjointDecomposition5(X6,X7,X8,X9,X10)
& p__d__exhaustiveDecomposition5(X6,X7,X8,X9,X10) ) )
& ! [X6,X7,X8,X9] :
( p__d__partition4(X6,X7,X8,X9)
<=> ( p__d__disjointDecomposition4(X6,X7,X8,X9)
& p__d__exhaustiveDecomposition4(X6,X7,X8,X9) ) )
& ! [X6,X7,X8] :
( p__d__partition3(X6,X7,X8)
<=> ( p__d__disjointDecomposition3(X6,X7,X8)
& p__d__exhaustiveDecomposition3(X6,X7,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA18) ).
fof(f23505,plain,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
inference(cnf_transformation,[],[f290]) ).
fof(f290,axiom,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA399) ).
fof(f30713,plain,
p__d__instance(sK632,c__OddInteger),
inference(forward_demodulation,[],[f18905,f18906]) ).
fof(f18906,plain,
sK632 = sK633,
inference(cnf_transformation,[],[f15518]) ).
fof(f15518,plain,
( sK632 = sK633
& p__d__instance(sK633,c__OddInteger)
& p__d__instance(sK632,c__EvenInteger) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK632,sK633])],[f10211,f15517]) ).
fof(f15517,plain,
( ? [X0,X1] :
( X0 = X1
& p__d__instance(X1,c__OddInteger)
& p__d__instance(X0,c__EvenInteger) )
=> ( sK632 = sK633
& p__d__instance(sK633,c__OddInteger)
& p__d__instance(sK632,c__EvenInteger) ) ),
introduced(choice_axiom,[]) ).
fof(f10211,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X1,c__OddInteger)
& p__d__instance(X0,c__EvenInteger) ),
inference(flattening,[],[f10210]) ).
fof(f10210,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X1,c__OddInteger)
& p__d__instance(X0,c__EvenInteger) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7434,negated_conjecture,
~ ! [X0,X1] :
( ( p__d__instance(X1,c__OddInteger)
& p__d__instance(X0,c__EvenInteger) )
=> X0 != X1 ),
inference(negated_conjecture,[],[f7433]) ).
fof(f7433,conjecture,
! [X0,X1] :
( ( p__d__instance(X1,c__OddInteger)
& p__d__instance(X0,c__EvenInteger) )
=> X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10035) ).
fof(f18905,plain,
p__d__instance(sK633,c__OddInteger),
inference(cnf_transformation,[],[f15518]) ).
fof(f18904,plain,
p__d__instance(sK632,c__EvenInteger),
inference(cnf_transformation,[],[f15518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR159+1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35 % Computer : n025.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 20:11:23 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % (7923)Running in auto input_syntax mode. Trying TPTP
% 0.37/0.58 % (7924)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.37/0.58 % (7925)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.37/0.58 % (7927)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.37/0.58 % (7926)WARNING: value z3 for option sas not known
% 0.37/0.58 % (7930)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.37/0.58 % (7929)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.37/0.58 % (7928)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.37/0.58 % (7926)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 3.93/1.12 TRYING [1]
% 4.52/1.22 TRYING [2]
% 11.47/2.20 TRYING [3]
% 31.43/5.03 TRYING [4]
% 33.09/5.32 % (7930)First to succeed.
% 33.09/5.33 % (7930)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7923"
% 33.58/5.34 % (7930)Refutation found. Thanks to Tanya!
% 33.58/5.34 % SZS status Theorem for theBenchmark
% 33.58/5.34 % SZS output start Proof for theBenchmark
% See solution above
% 33.58/5.35 % (7930)------------------------------
% 33.58/5.35 % (7930)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.58/5.35 % (7930)Termination reason: Refutation
% 33.58/5.35
% 33.58/5.35 % (7930)Memory used [KB]: 89054
% 33.58/5.35 % (7930)Time elapsed: 4.748 s
% 33.58/5.35 % (7930)Instructions burned: 11475 (million)
% 33.58/5.35 % (7923)Success in time 4.933 s
%------------------------------------------------------------------------------