%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR159+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:43:59 AM UTC 2026
% Result : Theorem 26.26s 4.30s
% Output : Refutation 27.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 383 ( 6 equ)
% Maximal formula atoms : 80 ( 13 avg)
% Number of connectives : 484 ( 130 ~; 125 |; 206 &)
% ( 21 <=>; 2 =>; 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 : 234 ( 228 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( p__d__disjoint(X0,X1)
<=> ! [X2] :
( ~ p__d__instance(X2,X0)
| ~ p__d__instance(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA15) ).
fof(f6,axiom,
( ! [X0,X1,X2] :
( p__d__partition3(X0,X1,X2)
<=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X0,X1,X2,X3] :
( p__d__partition4(X0,X1,X2,X3)
<=> ( p__d__exhaustiveDecomposition4(X0,X1,X2,X3)
& p__d__disjointDecomposition4(X0,X1,X2,X3) ) )
& ! [X0,X1,X2,X3,X4] :
( p__d__partition5(X0,X1,X2,X3,X4)
<=> ( p__d__exhaustiveDecomposition5(X0,X1,X2,X3,X4)
& p__d__disjointDecomposition5(X0,X1,X2,X3,X4) ) )
& ! [X0,X1,X2,X3,X4,X5] :
( p__d__partition6(X0,X1,X2,X3,X4,X5)
<=> ( p__d__exhaustiveDecomposition6(X0,X1,X2,X3,X4,X5)
& p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5) ) )
& ! [X0,X1,X2,X3,X4,X5,X6] :
( p__d__partition7(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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA18) ).
fof(f8,axiom,
( ! [X0,X1,X2] :
( p__d__disjointDecomposition3(X0,X1,X2)
<=> p__d__disjoint(X1,X2) )
& ! [X0,X1,X2,X3] :
( p__d__disjointDecomposition4(X0,X1,X2,X3)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X2,X3) ) )
& ! [X0,X1,X2,X3,X4] :
( p__d__disjointDecomposition5(X0,X1,X2,X3,X4)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X3,X4) ) )
& ! [X0,X1,X2,X3,X4,X5] :
( p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X4,X5) ) )
& ! [X0,X1,X2,X3,X4,X5,X6] :
( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
<=> ( p__d__disjoint(X1,X2)
& p__d__disjoint(X1,X3)
& p__d__disjoint(X1,X4)
& p__d__disjoint(X1,X5)
& p__d__disjoint(X1,X6)
& p__d__disjoint(X2,X3)
& p__d__disjoint(X2,X4)
& p__d__disjoint(X2,X5)
& p__d__disjoint(X2,X6)
& p__d__disjoint(X3,X4)
& p__d__disjoint(X3,X5)
& p__d__disjoint(X3,X6)
& p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA24) ).
fof(f290,axiom,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA399) ).
fof(f7433,conjecture,
! [X0,X1] :
( ( p__d__instance(X0,c__EvenInteger)
& p__d__instance(X1,c__OddInteger) )
=> X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10035) ).
fof(f7434,negated_conjecture,
~ ! [X0,X1] :
( ( p__d__instance(X0,c__EvenInteger)
& p__d__instance(X1,c__OddInteger) )
=> X0 != X1 ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7435,plain,
( ! [X0,X1,X2] :
( p__d__disjointDecomposition3(X0,X1,X2)
<=> p__d__disjoint(X1,X2) )
& ! [X3,X4,X5,X6] :
( p__d__disjointDecomposition4(X3,X4,X5,X6)
<=> ( p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
<=> ( p__d__disjoint(X8,X9)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
<=> ( p__d__disjoint(X13,X14)
& p__d__disjoint(X13,X15)
& p__d__disjoint(X13,X16)
& p__d__disjoint(X13,X17)
& p__d__disjoint(X14,X15)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
<=> ( p__d__disjoint(X19,X20)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X22)
& p__d__disjoint(X19,X23)
& p__d__disjoint(X19,X24)
& p__d__disjoint(X20,X21)
& p__d__disjoint(X20,X22)
& p__d__disjoint(X20,X23)
& p__d__disjoint(X20,X24)
& p__d__disjoint(X21,X22)
& p__d__disjoint(X21,X23)
& p__d__disjoint(X21,X24)
& p__d__disjoint(X22,X23)
& p__d__disjoint(X22,X24)
& p__d__disjoint(X23,X24) ) ) ),
inference(rectify,[],[f8]) ).
fof(f7436,plain,
( ! [X0,X1,X2] :
( p__d__partition3(X0,X1,X2)
<=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( p__d__partition4(X3,X4,X5,X6)
<=> ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
& p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( p__d__partition5(X7,X8,X9,X10,X11)
<=> ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
& p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( p__d__partition6(X12,X13,X14,X15,X16,X17)
<=> ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
& p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
<=> ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
& p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(rectify,[],[f6]) ).
fof(f7439,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X0,c__EvenInteger)
& p__d__instance(X1,c__OddInteger) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7440,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X0,c__EvenInteger)
& p__d__instance(X1,c__OddInteger) ),
inference(flattening,[],[f7439]) ).
fof(f10593,plain,
( sK12 = sK13
& p__d__instance(sK12,c__EvenInteger)
& p__d__instance(sK13,c__OddInteger) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[f7440]) ).
fof(f10746,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ? [X2] :
( p__d__instance(X2,X0)
& p__d__instance(X2,X1) ) )
& ( ! [X2] :
( ~ p__d__instance(X2,X0)
| ~ p__d__instance(X2,X1) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f10747,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ? [X2] :
( p__d__instance(X2,X0)
& p__d__instance(X2,X1) ) )
& ( ! [X3] :
( ~ p__d__instance(X3,X0)
| ~ p__d__instance(X3,X1) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(rectify,[],[f10746]) ).
fof(f10748,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ( p__d__instance(sK122(X0,X1),X0)
& p__d__instance(sK122(X0,X1),X1) ) )
& ( ! [X3] :
( ~ p__d__instance(X3,X0)
| ~ p__d__instance(X3,X1) )
| ~ p__d__disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X2,sK122(X0,X1))],[f10747]) ).
fof(f10767,plain,
( ! [X0,X1,X2] :
( ( p__d__disjointDecomposition3(X0,X1,X2)
| ~ p__d__disjoint(X1,X2) )
& ( p__d__disjoint(X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__disjointDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjoint(X4,X5)
| ~ p__d__disjoint(X4,X6)
| ~ p__d__disjoint(X5,X6) )
& ( ( p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) )
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjoint(X8,X9)
| ~ p__d__disjoint(X8,X10)
| ~ p__d__disjoint(X8,X11)
| ~ p__d__disjoint(X9,X10)
| ~ p__d__disjoint(X9,X11)
| ~ p__d__disjoint(X10,X11) )
& ( ( p__d__disjoint(X8,X9)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X10,X11) )
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjoint(X13,X14)
| ~ p__d__disjoint(X13,X15)
| ~ p__d__disjoint(X13,X16)
| ~ p__d__disjoint(X13,X17)
| ~ p__d__disjoint(X14,X15)
| ~ p__d__disjoint(X14,X16)
| ~ p__d__disjoint(X14,X17)
| ~ p__d__disjoint(X15,X16)
| ~ p__d__disjoint(X15,X17)
| ~ p__d__disjoint(X16,X17) )
& ( ( p__d__disjoint(X13,X14)
& p__d__disjoint(X13,X15)
& p__d__disjoint(X13,X16)
& p__d__disjoint(X13,X17)
& p__d__disjoint(X14,X15)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X16,X17) )
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjoint(X19,X20)
| ~ p__d__disjoint(X19,X21)
| ~ p__d__disjoint(X19,X22)
| ~ p__d__disjoint(X19,X23)
| ~ p__d__disjoint(X19,X24)
| ~ p__d__disjoint(X20,X21)
| ~ p__d__disjoint(X20,X22)
| ~ p__d__disjoint(X20,X23)
| ~ p__d__disjoint(X20,X24)
| ~ p__d__disjoint(X21,X22)
| ~ p__d__disjoint(X21,X23)
| ~ p__d__disjoint(X21,X24)
| ~ p__d__disjoint(X22,X23)
| ~ p__d__disjoint(X22,X24)
| ~ p__d__disjoint(X23,X24) )
& ( ( p__d__disjoint(X19,X20)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X22)
& p__d__disjoint(X19,X23)
& p__d__disjoint(X19,X24)
& p__d__disjoint(X20,X21)
& p__d__disjoint(X20,X22)
& p__d__disjoint(X20,X23)
& p__d__disjoint(X20,X24)
& p__d__disjoint(X21,X22)
& p__d__disjoint(X21,X23)
& p__d__disjoint(X21,X24)
& p__d__disjoint(X22,X23)
& p__d__disjoint(X22,X24)
& p__d__disjoint(X23,X24) )
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(nnf_transformation,[],[f7435]) ).
fof(f10768,plain,
( ! [X0,X1,X2] :
( ( p__d__disjointDecomposition3(X0,X1,X2)
| ~ p__d__disjoint(X1,X2) )
& ( p__d__disjoint(X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__disjointDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjoint(X4,X5)
| ~ p__d__disjoint(X4,X6)
| ~ p__d__disjoint(X5,X6) )
& ( ( p__d__disjoint(X4,X5)
& p__d__disjoint(X4,X6)
& p__d__disjoint(X5,X6) )
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjoint(X8,X9)
| ~ p__d__disjoint(X8,X10)
| ~ p__d__disjoint(X8,X11)
| ~ p__d__disjoint(X9,X10)
| ~ p__d__disjoint(X9,X11)
| ~ p__d__disjoint(X10,X11) )
& ( ( p__d__disjoint(X8,X9)
& p__d__disjoint(X8,X10)
& p__d__disjoint(X8,X11)
& p__d__disjoint(X9,X10)
& p__d__disjoint(X9,X11)
& p__d__disjoint(X10,X11) )
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjoint(X13,X14)
| ~ p__d__disjoint(X13,X15)
| ~ p__d__disjoint(X13,X16)
| ~ p__d__disjoint(X13,X17)
| ~ p__d__disjoint(X14,X15)
| ~ p__d__disjoint(X14,X16)
| ~ p__d__disjoint(X14,X17)
| ~ p__d__disjoint(X15,X16)
| ~ p__d__disjoint(X15,X17)
| ~ p__d__disjoint(X16,X17) )
& ( ( p__d__disjoint(X13,X14)
& p__d__disjoint(X13,X15)
& p__d__disjoint(X13,X16)
& p__d__disjoint(X13,X17)
& p__d__disjoint(X14,X15)
& p__d__disjoint(X14,X16)
& p__d__disjoint(X14,X17)
& p__d__disjoint(X15,X16)
& p__d__disjoint(X15,X17)
& p__d__disjoint(X16,X17) )
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjoint(X19,X20)
| ~ p__d__disjoint(X19,X21)
| ~ p__d__disjoint(X19,X22)
| ~ p__d__disjoint(X19,X23)
| ~ p__d__disjoint(X19,X24)
| ~ p__d__disjoint(X20,X21)
| ~ p__d__disjoint(X20,X22)
| ~ p__d__disjoint(X20,X23)
| ~ p__d__disjoint(X20,X24)
| ~ p__d__disjoint(X21,X22)
| ~ p__d__disjoint(X21,X23)
| ~ p__d__disjoint(X21,X24)
| ~ p__d__disjoint(X22,X23)
| ~ p__d__disjoint(X22,X24)
| ~ p__d__disjoint(X23,X24) )
& ( ( p__d__disjoint(X19,X20)
& p__d__disjoint(X19,X21)
& p__d__disjoint(X19,X22)
& p__d__disjoint(X19,X23)
& p__d__disjoint(X19,X24)
& p__d__disjoint(X20,X21)
& p__d__disjoint(X20,X22)
& p__d__disjoint(X20,X23)
& p__d__disjoint(X20,X24)
& p__d__disjoint(X21,X22)
& p__d__disjoint(X21,X23)
& p__d__disjoint(X21,X24)
& p__d__disjoint(X22,X23)
& p__d__disjoint(X22,X24)
& p__d__disjoint(X23,X24) )
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(flattening,[],[f10767]) ).
fof(f10769,plain,
( ! [X0,X1,X2] :
( ( p__d__partition3(X0,X1,X2)
| ~ p__d__exhaustiveDecomposition3(X0,X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) )
& ( ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) )
| ~ p__d__partition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__partition4(X3,X4,X5,X6)
| ~ p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) )
& ( ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
& p__d__disjointDecomposition4(X3,X4,X5,X6) )
| ~ p__d__partition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__partition5(X7,X8,X9,X10,X11)
| ~ p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
& ( ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
& p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
| ~ p__d__partition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__partition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
& ( ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
& p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
| ~ p__d__partition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
& ( ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
& p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
| ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(nnf_transformation,[],[f7436]) ).
fof(f10770,plain,
( ! [X0,X1,X2] :
( ( p__d__partition3(X0,X1,X2)
| ~ p__d__exhaustiveDecomposition3(X0,X1,X2)
| ~ p__d__disjointDecomposition3(X0,X1,X2) )
& ( ( p__d__exhaustiveDecomposition3(X0,X1,X2)
& p__d__disjointDecomposition3(X0,X1,X2) )
| ~ p__d__partition3(X0,X1,X2) ) )
& ! [X3,X4,X5,X6] :
( ( p__d__partition4(X3,X4,X5,X6)
| ~ p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
| ~ p__d__disjointDecomposition4(X3,X4,X5,X6) )
& ( ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
& p__d__disjointDecomposition4(X3,X4,X5,X6) )
| ~ p__d__partition4(X3,X4,X5,X6) ) )
& ! [X7,X8,X9,X10,X11] :
( ( p__d__partition5(X7,X8,X9,X10,X11)
| ~ p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
| ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
& ( ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
& p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
| ~ p__d__partition5(X7,X8,X9,X10,X11) ) )
& ! [X12,X13,X14,X15,X16,X17] :
( ( p__d__partition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
| ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
& ( ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
& p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
| ~ p__d__partition6(X12,X13,X14,X15,X16,X17) ) )
& ! [X18,X19,X20,X21,X22,X23,X24] :
( ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
& ( ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
& p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
| ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
inference(flattening,[],[f10769]) ).
fof(f11922,plain,
p__d__instance(sK13,c__OddInteger),
inference(cnf_transformation,[],[f10593]) ).
fof(f11923,plain,
p__d__instance(sK12,c__EvenInteger),
inference(cnf_transformation,[],[f10593]) ).
fof(f11924,plain,
sK12 = sK13,
inference(cnf_transformation,[],[f10593]) ).
fof(f11928,plain,
p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
inference(cnf_transformation,[],[f290]) ).
fof(f12860,plain,
! [X3,X0,X1] :
( ~ p__d__disjoint(X0,X1)
| ~ p__d__instance(X3,X1)
| ~ p__d__instance(X3,X0) ),
inference(cnf_transformation,[],[f10748]) ).
fof(f13027,plain,
! [X2,X0,X1] :
( ~ p__d__disjointDecomposition3(X0,X1,X2)
| p__d__disjoint(X1,X2) ),
inference(cnf_transformation,[],[f10768]) ).
fof(f13041,plain,
! [X2,X0,X1] :
( p__d__disjointDecomposition3(X0,X1,X2)
| ~ p__d__partition3(X0,X1,X2) ),
inference(cnf_transformation,[],[f10770]) ).
fof(f19848,plain,
p__d__instance(sK13,c__EvenInteger),
inference(definition_unfolding,[],[f11923,f11924]) ).
fof(f20371,plain,
! [X2,X0,X1] :
( ~ p__d__partition3(X2,X0,X1)
| p__d__disjoint(X0,X1) ),
inference(resolution,[],[f13027,f13041]) ).
fof(f20372,plain,
p__d__disjoint(c__OddInteger,c__EvenInteger),
inference(resolution,[],[f20371,f11928]) ).
fof(f20374,plain,
$false,
inference(unit_resulting_resolution,[],[f12860,f11922,f19848,f20372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR159+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 23:41:27 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.98/2.20 % (203940)Detected formulas, will run a generic FOF schedule.
% 11.98/2.20 % (204004)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=700173729:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.98/2.20 % (203999)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1996069209:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.98/2.20 % (204003)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=170242199:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.98/2.20 % (204000)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3723596004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.98/2.20 % (204002)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=779851353:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.98/2.20 % (204001)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4137702783:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.98/2.20 % (204004)Instruction limit reached!
% 11.98/2.20 % (204004)------------------------------
% 11.98/2.20 % (204004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.20 % (204004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.20 % (204004)CaDiCaL version: 2.1.3
% 11.98/2.20 % (204004)Termination reason: Instruction limit
% 11.98/2.20 % (204004)Termination phase: Preprocessing 3
% 11.98/2.20 % (204004)Time elapsed: 0.051 s
% 11.98/2.20 % (204004)Peak memory usage: 94 MB
% 11.98/2.20 % (204004)Instructions burned: 141 (million)
% 11.98/2.20 % (204002)Refutation not found, incomplete strategy
% 11.98/2.20 % (204002)------------------------------
% 11.98/2.20 % (204002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.20 % (204002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.20 % (204002)CaDiCaL version: 2.1.3
% 11.98/2.20 % (204002)Termination reason: Refutation not found, incomplete strategy
% 11.98/2.20 % (204002)Time elapsed: 0.016 s
% 11.98/2.20 % (204002)Peak memory usage: 94 MB
% 11.98/2.20 % (204002)Instructions burned: 24 (million)
% 11.98/2.20 % (204003)Instruction limit reached!
% 11.98/2.20 % (204003)------------------------------
% 11.98/2.20 % (204003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.20 % (204003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.20 % (204003)CaDiCaL version: 2.1.3
% 11.98/2.20 % (204003)Termination reason: Instruction limit
% 11.98/2.20 % (204003)Termination phase: Saturation
% 11.98/2.20 % (204003)Time elapsed: 0.072 s
% 11.98/2.20 % (204003)Peak memory usage: 94 MB
% 11.98/2.20 % (204003)Instructions burned: 119 (million)
% 11.98/2.20 % (204005)dis-21_1_sil=8000:lcm=predicate:random_seed=1689664916:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.98/2.20 % (204012)lrs+10_1_sil=8000:sp=occurrence:random_seed=592494813:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.98/2.20 % (204012)Refutation not found, incomplete strategy
% 11.98/2.20 % (204012)------------------------------
% 11.98/2.20 % (204012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.20 % (204012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.20 % (204012)CaDiCaL version: 2.1.3
% 11.98/2.20 % (204012)Termination reason: Refutation not found, incomplete strategy
% 11.98/2.20 % (204012)Time elapsed: 0.011 s
% 11.98/2.20 % (204012)Peak memory usage: 95 MB
% 11.98/2.20 % (204012)Instructions burned: 24 (million)
% 11.98/2.20 % (204005)Instruction limit reached!
% 11.98/2.20 % (204005)------------------------------
% 11.98/2.20 % (204005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.20 % (204005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.20 % (204005)CaDiCaL version: 2.1.3
% 11.98/2.20 % (204005)Termination reason: Instruction limit
% 11.98/2.20 % (204005)Termination phase: Saturation
% 11.98/2.20 % (204005)Time elapsed: 0.100 s
% 11.98/2.20 % (204005)Peak memory usage: 96 MB
% 11.98/2.20 % (204005)Instructions burned: 130 (million)
% 11.98/2.20 % (204013)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1286119737:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.00/3.05 % (204013)Refutation not found, incomplete strategy
% 18.00/3.05 % (204013)------------------------------
% 18.00/3.05 % (204013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.05 % (204013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.05 % (204013)CaDiCaL version: 2.1.3
% 18.00/3.05 % (204013)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.05 % (204013)Time elapsed: 0.034 s
% 18.00/3.05 % (204013)Peak memory usage: 94 MB
% 18.00/3.05 % (204013)Instructions burned: 61 (million)
% 18.00/3.05 % (204002)------------------------------
% 18.00/3.05 % (204002)------------------------------
% 18.00/3.05 % (204012)------------------------------
% 18.00/3.05 % (204012)------------------------------
% 18.00/3.05 % (204016)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1207853707:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.00/3.05 % (204018)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3591849352:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.00/3.05 % (204016)Refutation not found, incomplete strategy
% 18.00/3.05 % (204016)------------------------------
% 18.00/3.05 % (204016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.05 % (204016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.05 % (204016)CaDiCaL version: 2.1.3
% 18.00/3.05 % (204016)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.05 % (204016)Time elapsed: 0.018 s
% 18.00/3.05 % (204016)Peak memory usage: 94 MB
% 18.00/3.05 % (204016)Instructions burned: 20 (million)
% 18.00/3.05 % (204019)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=277134222:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.00/3.05 % (204019)Refutation not found, incomplete strategy
% 18.00/3.05 % (204019)------------------------------
% 18.00/3.05 % (204019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.05 % (204019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.05 % (204019)CaDiCaL version: 2.1.3
% 18.00/3.05 % (204019)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.05 % (204019)Time elapsed: 0.022 s
% 18.00/3.05 % (204019)Peak memory usage: 94 MB
% 18.00/3.05 % (204019)Instructions burned: 33 (million)
% 18.00/3.05 % (204018)Instruction limit reached!
% 18.00/3.05 % (204018)------------------------------
% 18.00/3.05 % (204018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.05 % (204018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.05 % (204018)CaDiCaL version: 2.1.3
% 18.00/3.05 % (204018)Termination reason: Instruction limit
% 18.00/3.05 % (204018)Termination phase: Saturation
% 18.00/3.05 % (204018)Time elapsed: 0.078 s
% 18.00/3.05 % (204018)Peak memory usage: 98 MB
% 18.00/3.05 % (204018)Instructions burned: 249 (million)
% 18.00/3.05 % (204013)------------------------------
% 18.00/3.05 % (204013)------------------------------
% 18.00/3.05 % (204024)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1659406445:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.00/3.05 % (204016)------------------------------
% 18.00/3.05 % (204016)------------------------------
% 18.00/3.05 % (204025)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=433153053:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.00/3.05 % (204019)------------------------------
% 18.00/3.05 % (204019)------------------------------
% 18.00/3.05 % (204001)Refutation not found, incomplete strategy
% 18.00/3.05 % (204001)------------------------------
% 18.00/3.05 % (204001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.05 % (204001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.05 % (204001)CaDiCaL version: 2.1.3
% 18.00/3.05 % (204001)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.05 % (204001)Time elapsed: 0.739 s
% 18.00/3.05 % (204001)Peak memory usage: 146 MB
% 18.00/3.05 % (204001)Instructions burned: 1027 (million)
% 18.00/3.05 % (204025)Instruction limit reached!
% 18.00/3.05 % (204025)------------------------------
% 18.00/3.05 % (204025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.05 % (204025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204025)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204025)Termination reason: Instruction limit
% 26.26/4.30 % (204025)Termination phase: Saturation
% 26.26/4.30 % (204025)Time elapsed: 0.098 s
% 26.26/4.30 % (204025)Peak memory usage: 94 MB
% 26.26/4.30 % (204025)Instructions burned: 114 (million)
% 26.26/4.30 % (204034)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=531725372:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 26.26/4.30 % (204042)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2940270916:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 26.26/4.30 % (204034)Instruction limit reached!
% 26.26/4.30 % (204034)------------------------------
% 26.26/4.30 % (204034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204034)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204034)Termination reason: Instruction limit
% 26.26/4.30 % (204034)Termination phase: Property scanning
% 26.26/4.30 % (204034)Time elapsed: 0.133 s
% 26.26/4.30 % (204034)Peak memory usage: 96 MB
% 26.26/4.30 % (204034)Instructions burned: 128 (million)
% 26.26/4.30 % (204045)lrs+10_1_sil=8000:sp=occurrence:random_seed=1613259463:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 26.26/4.30 % (204042)Instruction limit reached!
% 26.26/4.30 % (204042)------------------------------
% 26.26/4.30 % (204042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204042)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204042)Termination reason: Instruction limit
% 26.26/4.30 % (204042)Termination phase: Property scanning
% 26.26/4.30 % (204042)Time elapsed: 0.112 s
% 26.26/4.30 % (204042)Peak memory usage: 91 MB
% 26.26/4.30 % (204042)Instructions burned: 115 (million)
% 26.26/4.30 % (204001)------------------------------
% 26.26/4.30 % (204001)------------------------------
% 26.26/4.30 % (204051)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3159806487:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 26.26/4.30 % (204051)Refutation not found, incomplete strategy
% 26.26/4.30 % (204051)------------------------------
% 26.26/4.30 % (204051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204051)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204051)Termination reason: Refutation not found, incomplete strategy
% 26.26/4.30 % (204051)Time elapsed: 0.015 s
% 26.26/4.30 % (204051)Peak memory usage: 94 MB
% 26.26/4.30 % (204051)Instructions burned: 20 (million)
% 26.26/4.30 % (204054)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2553105586:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 26.26/4.30 % (204056)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1142030732:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 26.26/4.30 % (204056)Refutation not found, incomplete strategy
% 26.26/4.30 % (204056)------------------------------
% 26.26/4.30 % (204056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204056)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204056)Termination reason: Refutation not found, incomplete strategy
% 26.26/4.30 % (204056)Time elapsed: 0.028 s
% 26.26/4.30 % (204056)Peak memory usage: 95 MB
% 26.26/4.30 % (204056)Instructions burned: 25 (million)
% 26.26/4.30 % (204051)------------------------------
% 26.26/4.30 % (204051)------------------------------
% 26.26/4.30 % (204063)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2798866060:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 26.26/4.30 % (204063)Refutation not found, incomplete strategy
% 26.26/4.30 % (204063)------------------------------
% 26.26/4.30 % (204063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204063)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204063)Termination reason: Refutation not found, incomplete strategy
% 26.26/4.30 % (204063)Time elapsed: 0.035 s
% 26.26/4.30 % (204063)Peak memory usage: 95 MB
% 26.26/4.30 % (204063)Instructions burned: 74 (million)
% 26.26/4.30 % (204056)------------------------------
% 26.26/4.30 % (204056)------------------------------
% 26.26/4.30 % (204063)------------------------------
% 26.26/4.30 % (204063)------------------------------
% 26.26/4.30 % (204045)Instruction limit reached!
% 26.26/4.30 % (204045)------------------------------
% 26.26/4.30 % (204045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204045)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204045)Termination reason: Instruction limit
% 26.26/4.30 % (204045)Termination phase: Saturation
% 26.26/4.30 % (204045)Time elapsed: 0.842 s
% 26.26/4.30 % (204045)Peak memory usage: 104 MB
% 26.26/4.30 % (204045)Instructions burned: 907 (million)
% 26.26/4.30 % (204070)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=51236541:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 26.26/4.30 % (204072)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3727489874:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 26.26/4.30 % (204072)Instruction limit reached!
% 26.26/4.30 % (204072)------------------------------
% 26.26/4.30 % (204072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204072)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204072)Termination reason: Instruction limit
% 26.26/4.30 % (204072)Termination phase: Preprocessing 3
% 26.26/4.30 % (204072)Time elapsed: 0.120 s
% 26.26/4.30 % (204072)Peak memory usage: 93 MB
% 26.26/4.30 % (204072)Instructions burned: 125 (million)
% 26.26/4.30 % (204024)Instruction limit reached!
% 26.26/4.30 % (204024)------------------------------
% 26.26/4.30 % (204024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204024)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204024)Termination reason: Instruction limit
% 26.26/4.30 % (204024)Termination phase: Saturation
% 26.26/4.30 % (204024)Time elapsed: 1.578 s
% 26.26/4.30 % (204024)Peak memory usage: 206 MB
% 26.26/4.30 % (204024)Instructions burned: 2350 (million)
% 26.26/4.30 % (204078)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4145462650:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 26.26/4.30 % (204078)Instruction limit reached!
% 26.26/4.30 % (204078)------------------------------
% 26.26/4.30 % (204078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204078)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204078)Termination reason: Instruction limit
% 26.26/4.30 % (204078)Termination phase: Preprocessing 2
% 26.26/4.30 % (204078)Time elapsed: 0.134 s
% 26.26/4.30 % (204078)Peak memory usage: 92 MB
% 26.26/4.30 % (204078)Instructions burned: 134 (million)
% 26.26/4.30 % (204084)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4002799121:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 26.26/4.30 % (204084)Refutation not found, incomplete strategy
% 26.26/4.30 % (204084)------------------------------
% 26.26/4.30 % (204084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204084)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204084)Termination reason: Refutation not found, incomplete strategy
% 26.26/4.30 % (204084)Time elapsed: 0.027 s
% 26.26/4.30 % (204084)Peak memory usage: 94 MB
% 26.26/4.30 % (204084)Instructions burned: 24 (million)
% 26.26/4.30 % (204087)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2457035207:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 26.26/4.30 % (204087)Refutation not found, incomplete strategy
% 26.26/4.30 % (204087)------------------------------
% 26.26/4.30 % (204087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204087)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204087)Termination reason: Refutation not found, incomplete strategy
% 26.26/4.30 % (204087)Time elapsed: 0.026 s
% 26.26/4.30 % (204087)Peak memory usage: 94 MB
% 26.26/4.30 % (204087)Instructions burned: 20 (million)
% 26.26/4.30 % (204089)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4068497173:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 26.26/4.30 % (204084)------------------------------
% 26.26/4.30 % (204084)------------------------------
% 26.26/4.30 % (204087)------------------------------
% 26.26/4.30 % (204087)------------------------------
% 26.26/4.30 % (204098)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3087089505:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 26.26/4.30 % (204099)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1708204042:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 26.26/4.30 % (204098)Instruction limit reached!
% 26.26/4.30 % (204098)------------------------------
% 26.26/4.30 % (204098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.26/4.30 % (204098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.26/4.30 % (204098)CaDiCaL version: 2.1.3
% 26.26/4.30 % (204098)Termination reason: Instruction limit
% 26.26/4.30 % (204098)Termination phase: Property scanning
% 26.26/4.30 % (204098)Time elapsed: 0.142 s
% 26.26/4.30 % (204098)Peak memory usage: 96 MB
% 26.26/4.30 % (204098)Instructions burned: 151 (million)
% 26.26/4.30 % (204000)First to succeed.
% 26.26/4.30 % (204000)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-203940"
% 26.26/4.30 % (204104)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3341428645:i=667:av=off:fsr=off_2967 on theBenchmark for (2967ds/667Mi)
% 26.26/4.30 % (204000)Refutation found. Thanks to Tanya!
% 26.26/4.30 % SZS status Theorem for theBenchmark
% 26.26/4.30 % SZS output start Proof for theBenchmark
% See solution above
% 27.10/4.58 % (204000)------------------------------
% 27.10/4.58 % (204000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.10/4.58 % (204000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.10/4.58 % (204000)CaDiCaL version: 2.1.3
% 27.10/4.58 % (204000)Termination reason: Refutation
% 27.10/4.58 % (204000)Time elapsed: 3.160 s
% 27.10/4.58 % (204000)Peak memory usage: 210 MB
% 27.10/4.58 % (204000)Instructions burned: 3424 (million)
% 27.10/4.58 % (204000)------------------------------
% 27.10/4.58 % (204000)------------------------------
% 27.10/4.58 % (203940)Success in time 3.83 s
% 27.10/4.58 % Vampire exiting
%------------------------------------------------------------------------------