%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR218+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 : n016.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 09:44:07 AM UTC 2026
% Result : Theorem 14.18s 2.56s
% Output : Refutation 15.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 19 unt; 0 def)
% Number of atoms : 427 ( 6 equ)
% Maximal formula atoms : 80 ( 9 avg)
% Number of connectives : 521 ( 141 ~; 134 |; 220 &)
% ( 21 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-7 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 251 ( 241 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( ( p__d__instance(X0,X1)
& p__d__subclass(X1,X2) )
=> p__d__instance(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA12) ).
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(f107,axiom,
p__d__partition3(c__Entity,c__Physical,c__Abstract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA173) ).
fof(f115,axiom,
p__d__subclass(c__Object,c__Physical),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA181) ).
fof(f241,axiom,
p__d__subclass(c__Quantity,c__Abstract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA332) ).
fof(f257,axiom,
p__d__subclass(c__Number,c__Quantity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA354) ).
fof(f7433,conjecture,
! [X0,X1] :
( p__d__instance(X1,c__Object)
=> ( ( p__d__instance(X0,c__Number)
& ? [X2] :
( p__d__instance(X2,c__Attribute)
& p__d__instance(X2,c__Attribute)
& p__attribute(X1,X2) ) )
=> X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10066) ).
fof(f7434,negated_conjecture,
~ ! [X0,X1] :
( p__d__instance(X1,c__Object)
=> ( ( p__d__instance(X0,c__Number)
& ? [X2] :
( p__d__instance(X2,c__Attribute)
& p__d__instance(X2,c__Attribute)
& p__attribute(X1,X2) ) )
=> 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(f7459,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X0,c__Number)
& ? [X2] :
( p__d__instance(X2,c__Attribute)
& p__d__instance(X2,c__Attribute)
& p__attribute(X1,X2) )
& p__d__instance(X1,c__Object) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7460,plain,
? [X0,X1] :
( X0 = X1
& p__d__instance(X0,c__Number)
& ? [X2] :
( p__d__instance(X2,c__Attribute)
& p__d__instance(X2,c__Attribute)
& p__attribute(X1,X2) )
& p__d__instance(X1,c__Object) ),
inference(flattening,[],[f7459]) ).
fof(f7463,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7464,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7463]) ).
fof(f7509,plain,
( sK1 = sK2
& p__d__instance(sK1,c__Number)
& p__d__instance(sK3,c__Attribute)
& p__d__instance(sK3,c__Attribute)
& p__attribute(sK2,sK3)
& p__d__instance(sK2,c__Object) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f7460]) ).
fof(f7520,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(f7521,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,[],[f7520]) ).
fof(f7522,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(f7523,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,[],[f7522]) ).
fof(f7529,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(f7530,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,[],[f7529]) ).
fof(f7531,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ( p__d__instance(sK18(X0,X1),X0)
& p__d__instance(sK18(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,[sK18]),skolemize(X2,sK18(X0,X1))],[f7530]) ).
fof(f7537,plain,
p__d__instance(sK2,c__Object),
inference(cnf_transformation,[],[f7509]) ).
fof(f7541,plain,
p__d__instance(sK1,c__Number),
inference(cnf_transformation,[],[f7509]) ).
fof(f7542,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f7509]) ).
fof(f7544,plain,
! [X2,X0,X1] :
( ~ p__d__instance(X0,X1)
| p__d__instance(X0,X2)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7464]) ).
fof(f7556,plain,
p__d__subclass(c__Number,c__Quantity),
inference(cnf_transformation,[],[f257]) ).
fof(f7570,plain,
p__d__subclass(c__Quantity,c__Abstract),
inference(cnf_transformation,[],[f241]) ).
fof(f7573,plain,
p__d__partition3(c__Entity,c__Physical,c__Abstract),
inference(cnf_transformation,[],[f107]) ).
fof(f7710,plain,
! [X2,X0,X1] :
( ~ p__d__disjointDecomposition3(X0,X1,X2)
| p__d__disjoint(X1,X2) ),
inference(cnf_transformation,[],[f7521]) ).
fof(f7724,plain,
! [X2,X0,X1] :
( ~ p__d__partition3(X0,X1,X2)
| p__d__disjointDecomposition3(X0,X1,X2) ),
inference(cnf_transformation,[],[f7523]) ).
fof(f7743,plain,
p__d__subclass(c__Object,c__Physical),
inference(cnf_transformation,[],[f115]) ).
fof(f7758,plain,
! [X3,X0,X1] :
( ~ p__d__disjoint(X0,X1)
| ~ p__d__instance(X3,X1)
| ~ p__d__instance(X3,X0) ),
inference(cnf_transformation,[],[f7531]) ).
fof(f7788,plain,
p__d__instance(sK2,c__Number),
inference(definition_unfolding,[],[f7541,f7542]) ).
fof(f7796,plain,
! [X0] :
( ~ p__d__subclass(c__Object,X0)
| p__d__instance(sK2,X0) ),
inference(resolution,[],[f7544,f7537]) ).
fof(f7797,plain,
! [X0] :
( ~ p__d__subclass(c__Number,X0)
| p__d__instance(sK2,X0) ),
inference(resolution,[],[f7544,f7788]) ).
fof(f7844,plain,
p__d__instance(sK2,c__Physical),
inference(resolution,[],[f7796,f7743]) ).
fof(f7871,plain,
p__d__instance(sK2,c__Quantity),
inference(resolution,[],[f7797,f7556]) ).
fof(f7873,plain,
! [X0] :
( ~ p__d__subclass(c__Quantity,X0)
| p__d__instance(sK2,X0) ),
inference(resolution,[],[f7871,f7544]) ).
fof(f8095,plain,
p__d__disjointDecomposition3(c__Entity,c__Physical,c__Abstract),
inference(resolution,[],[f7724,f7573]) ).
fof(f8178,plain,
p__d__instance(sK2,c__Abstract),
inference(resolution,[],[f7570,f7873]) ).
fof(f8452,plain,
p__d__disjoint(c__Physical,c__Abstract),
inference(resolution,[],[f7710,f8095]) ).
fof(f8462,plain,
! [X0] :
( ~ p__d__instance(X0,c__Abstract)
| ~ p__d__instance(X0,c__Physical) ),
inference(resolution,[],[f8452,f7758]) ).
fof(f8463,plain,
~ p__d__instance(sK2,c__Physical),
inference(resolution,[],[f8462,f8178]) ).
fof(f8473,plain,
$false,
inference(forward_subsumption_resolution,[],[f8463,f7844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR218+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n016.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 23:51:04 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 6.77/1.63 % (4155865)Detected formulas, will run a generic FOF schedule.
% 6.77/1.63 % (4155876)dis-21_1_sil=8000:lcm=predicate:random_seed=2829554916: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)
% 6.77/1.63 % (4155875)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3578804953:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.77/1.63 % (4155872)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=3426550083:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.77/1.63 % (4155874)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3104823784:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.77/1.63 % (4155873)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=184218016:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.77/1.63 % (4155871)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=72439796:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.77/1.63 % (4155870)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=3026745056:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.77/1.63 % (4155873)Refutation not found, incomplete strategy
% 6.77/1.63 % (4155873)------------------------------
% 6.77/1.63 % (4155873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.63 % (4155873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.63 % (4155873)CaDiCaL version: 2.1.3
% 6.77/1.63 % (4155873)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.63 % (4155873)Time elapsed: 0.016 s
% 6.77/1.63 % (4155873)Peak memory usage: 94 MB
% 6.77/1.63 % (4155873)Instructions burned: 24 (million)
% 6.77/1.63 % (4155876)Instruction limit reached!
% 6.77/1.63 % (4155876)------------------------------
% 6.77/1.63 % (4155876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.63 % (4155876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.63 % (4155876)CaDiCaL version: 2.1.3
% 6.77/1.63 % (4155876)Termination reason: Instruction limit
% 6.77/1.63 % (4155876)Termination phase: Saturation
% 6.77/1.63 % (4155876)Time elapsed: 0.041 s
% 6.77/1.63 % (4155876)Peak memory usage: 95 MB
% 6.77/1.63 % (4155876)Instructions burned: 131 (million)
% 6.77/1.63 % (4155874)Instruction limit reached!
% 6.77/1.63 % (4155874)------------------------------
% 6.77/1.63 % (4155874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.63 % (4155874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.63 % (4155874)CaDiCaL version: 2.1.3
% 6.77/1.63 % (4155874)Termination reason: Instruction limit
% 6.77/1.63 % (4155874)Termination phase: Saturation
% 6.77/1.63 % (4155874)Time elapsed: 0.061 s
% 6.77/1.63 % (4155874)Peak memory usage: 93 MB
% 6.77/1.63 % (4155874)Instructions burned: 119 (million)
% 6.77/1.63 % (4155875)Instruction limit reached!
% 6.77/1.63 % (4155875)------------------------------
% 6.77/1.63 % (4155875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.63 % (4155875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.63 % (4155875)CaDiCaL version: 2.1.3
% 6.77/1.63 % (4155875)Termination reason: Instruction limit
% 6.77/1.63 % (4155875)Termination phase: Preprocessing 3
% 6.77/1.63 % (4155875)Time elapsed: 0.085 s
% 6.77/1.63 % (4155875)Peak memory usage: 94 MB
% 6.77/1.63 % (4155875)Instructions burned: 140 (million)
% 6.77/1.63 % (4155884)lrs+10_1_sil=8000:sp=occurrence:random_seed=621450562:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.77/1.63 % (4155884)Refutation not found, incomplete strategy
% 6.77/1.63 % (4155884)------------------------------
% 6.77/1.63 % (4155884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.63 % (4155884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.63 % (4155884)CaDiCaL version: 2.1.3
% 6.77/1.63 % (4155884)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.63 % (4155884)Time elapsed: 0.010 s
% 6.77/1.63 % (4155884)Peak memory usage: 94 MB
% 6.77/1.63 % (4155884)Instructions burned: 21 (million)
% 12.37/2.23 % (4155885)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1450337881:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.37/2.23 % (4155886)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2056520821:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.37/2.23 % (4155885)Refutation not found, incomplete strategy
% 12.37/2.23 % (4155885)------------------------------
% 12.37/2.23 % (4155885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.23 % (4155885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.23 % (4155885)CaDiCaL version: 2.1.3
% 12.37/2.23 % (4155885)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.23 % (4155885)Time elapsed: 0.036 s
% 12.37/2.23 % (4155885)Peak memory usage: 94 MB
% 12.37/2.23 % (4155885)Instructions burned: 60 (million)
% 12.37/2.23 % (4155886)Refutation not found, incomplete strategy
% 12.37/2.23 % (4155886)------------------------------
% 12.37/2.23 % (4155886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.23 % (4155886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.23 % (4155886)CaDiCaL version: 2.1.3
% 12.37/2.23 % (4155886)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.23 % (4155886)Time elapsed: 0.018 s
% 12.37/2.23 % (4155886)Peak memory usage: 94 MB
% 12.37/2.23 % (4155886)Instructions burned: 22 (million)
% 12.37/2.23 % (4155873)------------------------------
% 12.37/2.23 % (4155873)------------------------------
% 12.37/2.23 % (4155884)------------------------------
% 12.37/2.23 % (4155884)------------------------------
% 12.37/2.23 % (4155891)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3431025759:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.37/2.23 % (4155891)Refutation not found, incomplete strategy
% 12.37/2.23 % (4155891)------------------------------
% 12.37/2.23 % (4155891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.23 % (4155891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.23 % (4155891)CaDiCaL version: 2.1.3
% 12.37/2.23 % (4155891)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.23 % (4155891)Time elapsed: 0.013 s
% 12.37/2.23 % (4155891)Peak memory usage: 94 MB
% 12.37/2.23 % (4155891)Instructions burned: 34 (million)
% 12.37/2.23 % (4155890)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=2942314300:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.37/2.23 % (4155885)------------------------------
% 12.37/2.23 % (4155885)------------------------------
% 12.37/2.23 % (4155886)------------------------------
% 12.37/2.23 % (4155886)------------------------------
% 12.37/2.23 % (4155890)Instruction limit reached!
% 12.37/2.23 % (4155890)------------------------------
% 12.37/2.23 % (4155890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.23 % (4155890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.23 % (4155890)CaDiCaL version: 2.1.3
% 12.37/2.23 % (4155890)Termination reason: Instruction limit
% 12.37/2.23 % (4155890)Termination phase: Saturation
% 12.37/2.23 % (4155890)Time elapsed: 0.133 s
% 12.37/2.23 % (4155890)Peak memory usage: 98 MB
% 12.37/2.23 % (4155890)Instructions burned: 249 (million)
% 12.37/2.23 % (4155891)------------------------------
% 12.37/2.23 % (4155891)------------------------------
% 12.37/2.23 % (4155894)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2613014869:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.37/2.23 % (4155896)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=165995379:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.37/2.23 % (4155895)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2899354263:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.37/2.23 % (4155872)Refutation not found, incomplete strategy
% 12.37/2.23 % (4155872)------------------------------
% 12.37/2.23 % (4155872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.37/2.23 % (4155872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.37/2.23 % (4155872)CaDiCaL version: 2.1.3
% 12.37/2.23 % (4155872)Termination reason: Refutation not found, incomplete strategy
% 12.37/2.23 % (4155872)Time elapsed: 0.647 s
% 12.37/2.23 % (4155872)Peak memory usage: 144 MB
% 12.37/2.23 % (4155872)Instructions burned: 957 (million)
% 14.18/2.56 % (4155896)Instruction limit reached!
% 14.18/2.56 % (4155896)------------------------------
% 14.18/2.56 % (4155896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155896)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155896)Termination reason: Instruction limit
% 14.18/2.56 % (4155896)Termination phase: Property scanning
% 14.18/2.56 % (4155896)Time elapsed: 0.044 s
% 14.18/2.56 % (4155896)Peak memory usage: 96 MB
% 14.18/2.56 % (4155896)Instructions burned: 130 (million)
% 14.18/2.56 % (4155897)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2310517828:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 14.18/2.56 % (4155895)Instruction limit reached!
% 14.18/2.56 % (4155895)------------------------------
% 14.18/2.56 % (4155895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155895)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155895)Termination reason: Instruction limit
% 14.18/2.56 % (4155895)Termination phase: Saturation
% 14.18/2.56 % (4155895)Time elapsed: 0.058 s
% 14.18/2.56 % (4155895)Peak memory usage: 94 MB
% 14.18/2.56 % (4155895)Instructions burned: 115 (million)
% 14.18/2.56 % (4155871)Refutation not found, incomplete strategy
% 14.18/2.56 % (4155871)------------------------------
% 14.18/2.56 % (4155871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155871)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155871)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.56 % (4155871)Time elapsed: 0.708 s
% 14.18/2.56 % (4155871)Peak memory usage: 145 MB
% 14.18/2.56 % (4155871)Instructions burned: 1041 (million)
% 14.18/2.56 % (4155897)Instruction limit reached!
% 14.18/2.56 % (4155897)------------------------------
% 14.18/2.56 % (4155897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155897)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155897)Termination reason: Instruction limit
% 14.18/2.56 % (4155897)Termination phase: Property scanning
% 14.18/2.56 % (4155897)Time elapsed: 0.063 s
% 14.18/2.56 % (4155897)Peak memory usage: 92 MB
% 14.18/2.56 % (4155897)Instructions burned: 115 (million)
% 14.18/2.56 % (4155901)lrs+10_1_sil=8000:sp=occurrence:random_seed=3986640843:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 14.18/2.56 % (4155903)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2340832265:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 14.18/2.56 % (4155903)Refutation not found, incomplete strategy
% 14.18/2.56 % (4155903)------------------------------
% 14.18/2.56 % (4155903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155903)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155903)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.56 % (4155903)Time elapsed: 0.016 s
% 14.18/2.56 % (4155903)Peak memory usage: 94 MB
% 14.18/2.56 % (4155903)Instructions burned: 19 (million)
% 14.18/2.56 % (4155904)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=13457557:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 14.18/2.56 % (4155872)------------------------------
% 14.18/2.56 % (4155872)------------------------------
% 14.18/2.56 % (4155871)------------------------------
% 14.18/2.56 % (4155871)------------------------------
% 14.18/2.56 % (4155908)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3027712:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 14.18/2.56 % (4155908)Refutation not found, incomplete strategy
% 14.18/2.56 % (4155908)------------------------------
% 14.18/2.56 % (4155908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155908)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155908)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.56 % (4155908)Time elapsed: 0.018 s
% 14.18/2.56 % (4155908)Peak memory usage: 95 MB
% 14.18/2.56 % (4155908)Instructions burned: 25 (million)
% 14.18/2.56 % (4155901)Instruction limit reached!
% 14.18/2.56 % (4155901)------------------------------
% 14.18/2.56 % (4155901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155901)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155901)Termination reason: Instruction limit
% 14.18/2.56 % (4155901)Termination phase: Saturation
% 14.18/2.56 % (4155901)Time elapsed: 0.296 s
% 14.18/2.56 % (4155901)Peak memory usage: 107 MB
% 14.18/2.56 % (4155901)Instructions burned: 908 (million)
% 14.18/2.56 % (4155903)------------------------------
% 14.18/2.56 % (4155903)------------------------------
% 14.18/2.56 % (4155909)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1494050013:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 14.18/2.56 % (4155911)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4250795467:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 14.18/2.56 % (4155912)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=3174365357:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/125Mi)
% 14.18/2.56 % (4155912)Refutation not found, incomplete strategy
% 14.18/2.56 % (4155912)------------------------------
% 14.18/2.56 % (4155912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155912)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155912)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.56 % (4155912)Time elapsed: 0.043 s
% 14.18/2.56 % (4155912)Peak memory usage: 94 MB
% 14.18/2.56 % (4155912)Instructions burned: 80 (million)
% 14.18/2.56 % (4155908)------------------------------
% 14.18/2.56 % (4155908)------------------------------
% 14.18/2.56 % (4155909)Instruction limit reached!
% 14.18/2.56 % (4155909)------------------------------
% 14.18/2.56 % (4155909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155909)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155909)Termination reason: Instruction limit
% 14.18/2.56 % (4155909)Termination phase: Saturation
% 14.18/2.56 % (4155909)Time elapsed: 0.270 s
% 14.18/2.56 % (4155909)Peak memory usage: 98 MB
% 14.18/2.56 % (4155909)Instructions burned: 592 (million)
% 14.18/2.56 % (4155916)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2708392348:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 14.18/2.56 % (4155916)Instruction limit reached!
% 14.18/2.56 % (4155916)------------------------------
% 14.18/2.56 % (4155916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155916)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155916)Termination reason: Instruction limit
% 14.18/2.56 % (4155916)Termination phase: Preprocessing 2
% 14.18/2.56 % (4155916)Time elapsed: 0.073 s
% 14.18/2.56 % (4155916)Peak memory usage: 92 MB
% 14.18/2.56 % (4155916)Instructions burned: 134 (million)
% 14.18/2.56 % (4155912)------------------------------
% 14.18/2.56 % (4155912)------------------------------
% 14.18/2.56 % (4155917)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3809957349:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 14.18/2.56 % (4155917)Refutation not found, incomplete strategy
% 14.18/2.56 % (4155917)------------------------------
% 14.18/2.56 % (4155917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155917)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155917)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.56 % (4155917)Time elapsed: 0.018 s
% 14.18/2.56 % (4155917)Peak memory usage: 94 MB
% 14.18/2.56 % (4155917)Instructions burned: 24 (million)
% 14.18/2.56 % (4155919)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1396913556:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/431Mi)
% 14.18/2.56 % (4155920)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=1323393810:i=6060:aac=none:ins=25_2982 on theBenchmark for (2982ds/6060Mi)
% 14.18/2.56 % (4155919)Refutation not found, incomplete strategy
% 14.18/2.56 % (4155919)------------------------------
% 14.18/2.56 % (4155919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.56 % (4155919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.56 % (4155919)CaDiCaL version: 2.1.3
% 14.18/2.56 % (4155919)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.56 % (4155919)Time elapsed: 0.025 s
% 14.18/2.56 % (4155919)Peak memory usage: 95 MB
% 14.18/2.56 % (4155919)Instructions burned: 33 (million)
% 14.18/2.56 % (4155911)First to succeed.
% 14.18/2.56 % (4155911)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4155865"
% 14.18/2.56 % (4155917)------------------------------
% 14.18/2.56 % (4155917)------------------------------
% 14.18/2.56 % (4155919)------------------------------
% 14.18/2.56 % (4155919)------------------------------
% 14.18/2.56 % (4155924)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=2377557636:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2980 on theBenchmark for (2980ds/150Mi)
% 14.18/2.56 % (4155911)Refutation found. Thanks to Tanya!
% 14.18/2.56 % SZS status Theorem for theBenchmark
% 14.18/2.56 % SZS output start Proof for theBenchmark
% See solution above
% 15.26/2.75 % (4155911)------------------------------
% 15.26/2.75 % (4155911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.26/2.75 % (4155911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.75 % (4155911)CaDiCaL version: 2.1.3
% 15.26/2.75 % (4155911)Termination reason: Refutation
% 15.26/2.75 % (4155911)Time elapsed: 0.548 s
% 15.26/2.75 % (4155911)Peak memory usage: 141 MB
% 15.26/2.75 % (4155911)Instructions burned: 1208 (million)
% 15.26/2.75 % (4155911)------------------------------
% 15.26/2.75 % (4155911)------------------------------
% 15.26/2.75 % (4155865)Success in time 2.175 s
% 15.26/2.75 % Vampire exiting
%------------------------------------------------------------------------------