%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR221+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 09:44:07 AM UTC 2026
% Result : Theorem 17.78s 4.04s
% Output : Refutation 23.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 113 ( 37 unt; 4 def)
% Number of atoms : 550 ( 8 equ)
% Maximal formula atoms : 80 ( 4 avg)
% Number of connectives : 650 ( 213 ~; 203 |; 204 &)
% ( 25 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 5 prp; 0-7 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 292 ( 0 sgn 285 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : p__d__subclass(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA7) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( p__d__subclass(X0,X1)
& p__d__subclass(X1,X2) )
=> p__d__subclass(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA8) ).
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(f110,axiom,
! [X0] :
( p__d__subclass(X0,c__Entity)
=> ? [X1] : p__d__instance(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA176) ).
fof(f112,axiom,
p__d__subclass(c__Physical,c__Entity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA178) ).
fof(f233,axiom,
p__d__subclass(c__Process,c__Physical),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA324) ).
fof(f1628,axiom,
p__d__subclass(c__IntentionalProcess,c__Process),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2357) ).
fof(f1653,axiom,
p__d__subclass(c__LegalDecision,c__Declaring),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2387) ).
fof(f1897,axiom,
p__d__subclass(c__SocialInteraction,c__IntentionalProcess),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2697) ).
fof(f1900,axiom,
p__d__subclass(c__Communication,c__SocialInteraction),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2701) ).
fof(f1902,axiom,
p__d__partition7(c__Communication,c__Stating,c__Supposing,c__Directing,c__Committing,c__Expressing,c__Declaring),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2703) ).
fof(f1912,axiom,
p__d__subclass(c__Expressing,c__Communication),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2717) ).
fof(f4589,axiom,
p__d__subclass(c__LegalConviction,c__LegalDecision),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA2322) ).
fof(f7433,conjecture,
? [X0] :
( p__d__instance(X0,c__SocialInteraction)
& ! [X1] :
( p__d__instance(X1,c__LegalConviction)
=> X0 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern20050) ).
fof(f7434,negated_conjecture,
~ ? [X0] :
( p__d__instance(X0,c__SocialInteraction)
& ! [X1] :
( p__d__instance(X1,c__LegalConviction)
=> X0 != X1 ) ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7435,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(f7437,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(f7449,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7450,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7449]) ).
fof(f7453,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7454,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7453]) ).
fof(f7503,plain,
! [X0] :
( ? [X1] : p__d__instance(X1,X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(ennf_transformation,[],[f110]) ).
fof(f11600,plain,
! [X0] :
( ~ p__d__instance(X0,c__SocialInteraction)
| ? [X1] :
( X0 = X1
& p__d__instance(X1,c__LegalConviction) ) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f11657,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(f11658,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,[],[f11657]) ).
fof(f11659,plain,
! [X0,X1] :
( ( p__d__disjoint(X0,X1)
| ( p__d__instance(sK36(X0,X1),X0)
& p__d__instance(sK36(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,[sK36]),skolemize(X2,sK36(X0,X1))],[f11658]) ).
fof(f11660,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,[],[f7435]) ).
fof(f11661,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,[],[f11660]) ).
fof(f11665,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,[],[f7437]) ).
fof(f11666,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,[],[f11665]) ).
fof(f11721,plain,
! [X0] :
( p__d__instance(sK60(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(X1,sK60(X0))],[f7503]) ).
fof(f13399,plain,
! [X0] :
( ~ p__d__instance(X0,c__SocialInteraction)
| ( sK1263(X0) = X0
& p__d__instance(sK1263(X0),c__LegalConviction) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1263]),skolemize(X1,sK1263(X0))],[f11600]) ).
fof(f13400,plain,
! [X0] : p__d__subclass(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f13401,plain,
! [X2,X0,X1] :
( ~ p__d__subclass(X1,X2)
| ~ p__d__subclass(X0,X1)
| p__d__subclass(X0,X2) ),
inference(cnf_transformation,[],[f7450]) ).
fof(f13403,plain,
! [X2,X0,X1] :
( ~ p__d__instance(X0,X1)
| p__d__instance(X0,X2)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7454]) ).
fof(f13404,plain,
! [X3,X0,X1] :
( ~ p__d__disjoint(X0,X1)
| ~ p__d__instance(X3,X1)
| ~ p__d__instance(X3,X0) ),
inference(cnf_transformation,[],[f11659]) ).
fof(f13407,plain,
! [X21,X18,X19,X24,X22,X23,X20] :
( ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
| p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ),
inference(cnf_transformation,[],[f11661]) ).
fof(f13452,plain,
! [X21,X18,X19,X24,X22,X23,X20] :
( ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
| p__d__disjoint(X23,X24) ),
inference(cnf_transformation,[],[f11666]) ).
fof(f13681,plain,
! [X0] :
( p__d__instance(sK60(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(cnf_transformation,[],[f11721]) ).
fof(f13684,plain,
p__d__subclass(c__Physical,c__Entity),
inference(cnf_transformation,[],[f112]) ).
fof(f13843,plain,
p__d__subclass(c__Process,c__Physical),
inference(cnf_transformation,[],[f233]) ).
fof(f15519,plain,
p__d__subclass(c__IntentionalProcess,c__Process),
inference(cnf_transformation,[],[f1628]) ).
fof(f15552,plain,
p__d__subclass(c__LegalDecision,c__Declaring),
inference(cnf_transformation,[],[f1653]) ).
fof(f15937,plain,
p__d__subclass(c__SocialInteraction,c__IntentionalProcess),
inference(cnf_transformation,[],[f1897]) ).
fof(f15944,plain,
p__d__subclass(c__Communication,c__SocialInteraction),
inference(cnf_transformation,[],[f1900]) ).
fof(f15946,plain,
p__d__partition7(c__Communication,c__Stating,c__Supposing,c__Directing,c__Committing,c__Expressing,c__Declaring),
inference(cnf_transformation,[],[f1902]) ).
fof(f15966,plain,
p__d__subclass(c__Expressing,c__Communication),
inference(cnf_transformation,[],[f1912]) ).
fof(f19720,plain,
p__d__subclass(c__LegalConviction,c__LegalDecision),
inference(cnf_transformation,[],[f4589]) ).
fof(f24206,plain,
! [X0] :
( p__d__instance(sK1263(X0),c__LegalConviction)
| ~ p__d__instance(X0,c__SocialInteraction) ),
inference(cnf_transformation,[],[f13399]) ).
fof(f24207,plain,
! [X0] :
( ~ p__d__instance(X0,c__SocialInteraction)
| sK1263(X0) = X0 ),
inference(cnf_transformation,[],[f13399]) ).
fof(f27652,plain,
! [X0] :
( ~ p__d__subclass(X0,c__Physical)
| p__d__subclass(X0,c__Entity) ),
inference(resolution,[],[f13401,f13684]) ).
fof(f27653,plain,
! [X0] :
( ~ p__d__subclass(X0,c__IntentionalProcess)
| p__d__subclass(X0,c__Process) ),
inference(resolution,[],[f13401,f15519]) ).
fof(f27654,plain,
! [X0] :
( ~ p__d__subclass(X0,c__LegalDecision)
| p__d__subclass(X0,c__Declaring) ),
inference(resolution,[],[f13401,f15552]) ).
fof(f27670,plain,
! [X0] :
( ~ p__d__subclass(X0,c__Communication)
| p__d__subclass(X0,c__SocialInteraction) ),
inference(resolution,[],[f15944,f13401]) ).
fof(f27681,plain,
p__d__subclass(c__Process,c__Entity),
inference(resolution,[],[f13843,f27652]) ).
fof(f27733,plain,
! [X0,X1] :
( p__d__instance(sK1263(X0),X1)
| ~ p__d__subclass(c__LegalConviction,X1)
| ~ p__d__instance(X0,c__SocialInteraction) ),
inference(resolution,[],[f13403,f24206]) ).
fof(f27757,plain,
p__d__subclass(c__SocialInteraction,c__Process),
inference(resolution,[],[f27653,f15937]) ).
fof(f27759,plain,
! [X0] :
( ~ p__d__subclass(X0,c__Process)
| p__d__subclass(X0,c__Entity) ),
inference(resolution,[],[f27681,f13401]) ).
fof(f27855,plain,
p__d__subclass(c__LegalConviction,c__Declaring),
inference(resolution,[],[f27654,f19720]) ).
fof(f27972,plain,
! [X0,X1] :
( p__d__instance(sK60(X0),X1)
| ~ p__d__subclass(X0,c__Entity)
| ~ p__d__subclass(X0,X1) ),
inference(resolution,[],[f13681,f13403]) ).
fof(f27978,definition,
( spl1264_70
<=> p__d__subclass(c__SocialInteraction,c__Entity) ),
introduced(definition,[new_symbols(definition,[spl1264_70])],[avatar_definition]) ).
fof(f27979,plain,
( p__d__subclass(c__SocialInteraction,c__Entity)
| ~ spl1264_70 ),
inference(avatar_component_clause,[],[f27978]) ).
fof(f27980,plain,
( ~ p__d__subclass(c__SocialInteraction,c__Entity)
| spl1264_70 ),
inference(avatar_component_clause,[],[f27978]) ).
fof(f27982,plain,
! [X0] :
( ~ p__d__subclass(X0,c__SocialInteraction)
| ~ p__d__subclass(X0,c__Entity)
| sK60(X0) = sK1263(sK60(X0)) ),
inference(resolution,[],[f27972,f24207]) ).
fof(f27991,definition,
( spl1264_72
<=> p__d__subclass(c__Communication,c__Entity) ),
introduced(definition,[new_symbols(definition,[spl1264_72])],[avatar_definition]) ).
fof(f27992,plain,
( p__d__subclass(c__Communication,c__Entity)
| ~ spl1264_72 ),
inference(avatar_component_clause,[],[f27991]) ).
fof(f27993,plain,
( ~ p__d__subclass(c__Communication,c__Entity)
| spl1264_72 ),
inference(avatar_component_clause,[],[f27991]) ).
fof(f28228,plain,
! [X0] :
( ~ p__d__subclass(X0,c__SocialInteraction)
| p__d__subclass(X0,c__Process) ),
inference(resolution,[],[f27757,f13401]) ).
fof(f28638,plain,
p__d__subclass(c__Communication,c__Process),
inference(resolution,[],[f28228,f15944]) ).
fof(f28652,plain,
p__d__subclass(c__Expressing,c__SocialInteraction),
inference(resolution,[],[f15966,f27670]) ).
fof(f29227,plain,
p__d__subclass(c__SocialInteraction,c__Entity),
inference(resolution,[],[f27759,f27757]) ).
fof(f29229,plain,
p__d__subclass(c__Communication,c__Entity),
inference(resolution,[],[f27759,f28638]) ).
fof(f29231,plain,
( $false
| spl1264_72 ),
inference(forward_subsumption_resolution,[],[f29229,f27993]) ).
fof(f29232,plain,
spl1264_72,
inference(avatar_contradiction_clause,[],[f29231]) ).
fof(f29233,plain,
( $false
| spl1264_70 ),
inference(forward_subsumption_resolution,[],[f29227,f27980]) ).
fof(f29234,plain,
spl1264_70,
inference(avatar_contradiction_clause,[],[f29233]) ).
fof(f29251,plain,
( ! [X0] :
( ~ p__d__subclass(X0,c__SocialInteraction)
| p__d__subclass(X0,c__Entity) )
| ~ spl1264_70 ),
inference(resolution,[],[f27979,f13401]) ).
fof(f29278,plain,
( ! [X0] :
( ~ p__d__subclass(X0,c__Communication)
| p__d__subclass(X0,c__Entity) )
| ~ spl1264_72 ),
inference(resolution,[],[f27992,f13401]) ).
fof(f29293,plain,
( p__d__subclass(c__Expressing,c__Entity)
| ~ spl1264_72 ),
inference(resolution,[],[f29278,f15966]) ).
fof(f29307,plain,
( ! [X0] :
( ~ p__d__subclass(X0,c__Expressing)
| p__d__subclass(X0,c__Entity) )
| ~ spl1264_72 ),
inference(resolution,[],[f29293,f13401]) ).
fof(f34796,plain,
p__d__disjointDecomposition7(c__Communication,c__Stating,c__Supposing,c__Directing,c__Committing,c__Expressing,c__Declaring),
inference(resolution,[],[f15946,f13407]) ).
fof(f34797,plain,
p__d__disjoint(c__Expressing,c__Declaring),
inference(resolution,[],[f34796,f13452]) ).
fof(f34895,plain,
! [X0] :
( ~ p__d__instance(X0,c__Expressing)
| ~ p__d__instance(X0,c__Declaring) ),
inference(resolution,[],[f34797,f13404]) ).
fof(f34918,plain,
! [X0] :
( ~ p__d__instance(sK60(X0),c__Declaring)
| ~ p__d__subclass(X0,c__Entity)
| ~ p__d__subclass(X0,c__Expressing) ),
inference(resolution,[],[f34895,f27972]) ).
fof(f34929,plain,
( ! [X0] :
( ~ p__d__instance(sK60(X0),c__Declaring)
| ~ p__d__subclass(X0,c__Expressing) )
| ~ spl1264_72 ),
inference(forward_subsumption_resolution,[],[f34918,f29307]) ).
fof(f35446,plain,
( ~ p__d__subclass(c__Expressing,c__Entity)
| sK60(c__Expressing) = sK1263(sK60(c__Expressing)) ),
inference(resolution,[],[f28652,f27982]) ).
fof(f35452,plain,
( sK60(c__Expressing) = sK1263(sK60(c__Expressing))
| ~ spl1264_72 ),
inference(forward_subsumption_resolution,[],[f35446,f29293]) ).
fof(f35453,plain,
( ! [X0] :
( p__d__instance(sK60(c__Expressing),X0)
| ~ p__d__subclass(c__LegalConviction,X0)
| ~ p__d__instance(sK60(c__Expressing),c__SocialInteraction) )
| ~ spl1264_72 ),
inference(superposition,[],[f27733,f35452]) ).
fof(f35456,definition,
( spl1264_1073
<=> p__d__instance(sK60(c__Expressing),c__SocialInteraction) ),
introduced(definition,[new_symbols(definition,[spl1264_1073])],[avatar_definition]) ).
fof(f35458,plain,
( ~ p__d__instance(sK60(c__Expressing),c__SocialInteraction)
| spl1264_1073 ),
inference(avatar_component_clause,[],[f35456]) ).
fof(f35465,definition,
( spl1264_1075
<=> ! [X0] :
( p__d__instance(sK60(c__Expressing),X0)
| ~ p__d__subclass(c__LegalConviction,X0) ) ),
introduced(definition,[new_symbols(definition,[spl1264_1075])],[avatar_definition]) ).
fof(f35466,plain,
( ! [X0] :
( p__d__instance(sK60(c__Expressing),X0)
| ~ p__d__subclass(c__LegalConviction,X0) )
| ~ spl1264_1075 ),
inference(avatar_component_clause,[],[f35465]) ).
fof(f35467,plain,
( ~ spl1264_1073
| spl1264_1075
| ~ spl1264_72 ),
inference(avatar_split_clause,[],[f35453,f27991,f35465,f35456]) ).
fof(f35469,plain,
( ~ p__d__subclass(c__Expressing,c__Entity)
| ~ p__d__subclass(c__Expressing,c__SocialInteraction)
| spl1264_1073 ),
inference(resolution,[],[f35458,f27972]) ).
fof(f35470,plain,
( ~ p__d__subclass(c__Expressing,c__SocialInteraction)
| ~ spl1264_70
| spl1264_1073 ),
inference(forward_subsumption_resolution,[],[f35469,f29251]) ).
fof(f35471,plain,
( $false
| ~ spl1264_70
| spl1264_1073 ),
inference(forward_subsumption_resolution,[],[f35470,f28652]) ).
fof(f35472,plain,
( ~ spl1264_70
| spl1264_1073 ),
inference(avatar_contradiction_clause,[],[f35471]) ).
fof(f36201,plain,
( ~ p__d__subclass(c__LegalConviction,c__Declaring)
| ~ p__d__subclass(c__Expressing,c__Expressing)
| ~ spl1264_72
| ~ spl1264_1075 ),
inference(resolution,[],[f35466,f34929]) ).
fof(f36251,plain,
( ~ p__d__subclass(c__Expressing,c__Expressing)
| ~ spl1264_72
| ~ spl1264_1075 ),
inference(forward_subsumption_resolution,[],[f36201,f27855]) ).
fof(f36255,plain,
( $false
| ~ spl1264_72
| ~ spl1264_1075 ),
inference(forward_subsumption_resolution,[],[f36251,f13400]) ).
fof(f36256,plain,
( ~ spl1264_72
| ~ spl1264_1075 ),
inference(avatar_contradiction_clause,[],[f36255]) ).
cnf(s124,plain,
spl1264_72,
inference(sat_conversion,[],[f29232]) ).
cnf(s125,plain,
spl1264_70,
inference(sat_conversion,[],[f29234]) ).
cnf(s592,plain,
( ~ spl1264_72
| ~ spl1264_1073
| spl1264_1075 ),
inference(sat_conversion,[],[f35467]) ).
cnf(s593,plain,
( ~ spl1264_70
| spl1264_1073 ),
inference(sat_conversion,[],[f35472]) ).
cnf(s644,plain,
( ~ spl1264_72
| ~ spl1264_1075 ),
inference(sat_conversion,[],[f36256]) ).
cnf(s652,plain,
spl1264_1073,
inference(rat,[],[s593,s125]) ).
cnf(s659,plain,
~ spl1264_1075,
inference(rat,[],[s644,s124]) ).
cnf(s660,plain,
$false,
inference(rat,[],[s592,s652,s659,s124]) ).
fof(f36257,plain,
$false,
inference(avatar_sat_refutation,[],[s660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR221+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.27 % Computer : n026.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8046.5625MB
% 0.09/0.27 % OS : Linux 6.8.0-71-generic
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Mon Sep 28 23:50:27 UTC 2026
% 0.23/0.27 % CPUTime :
% 0.23/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.31 Running first-order theorem proving
% 0.23/0.31 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
% 17.12/3.19 % (208717)Detected formulas, will run a generic FOF schedule.
% 17.12/3.19 % (208724)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=3173340009:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 17.12/3.19 % (208729)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3297533609:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 17.12/3.19 % (208727)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3619077031:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 17.12/3.19 % (208728)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2737061447:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 17.12/3.19 % (208725)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=975712976:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 17.12/3.19 % (208726)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=3094002924:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 17.12/3.19 % (208730)dis-21_1_sil=8000:lcm=predicate:random_seed=3168066686:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 17.12/3.19 % (208727)Refutation not found, incomplete strategy
% 17.12/3.19 % (208727)------------------------------
% 17.12/3.19 % (208727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.19 % (208727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.19 % (208727)CaDiCaL version: 2.1.3
% 17.12/3.19 % (208727)Termination reason: Refutation not found, incomplete strategy
% 17.12/3.19 % (208727)Time elapsed: 0.024 s
% 17.12/3.19 % (208727)Peak memory usage: 94 MB
% 17.12/3.19 % (208727)Instructions burned: 23 (million)
% 17.12/3.19 % (208729)Instruction limit reached!
% 17.12/3.19 % (208729)------------------------------
% 17.12/3.19 % (208729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.19 % (208729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.19 % (208729)CaDiCaL version: 2.1.3
% 17.12/3.19 % (208729)Termination reason: Instruction limit
% 17.12/3.19 % (208729)Termination phase: Preprocessing 3
% 17.12/3.19 % (208729)Time elapsed: 0.129 s
% 17.12/3.19 % (208729)Peak memory usage: 94 MB
% 17.12/3.19 % (208729)Instructions burned: 139 (million)
% 17.12/3.19 % (208728)Instruction limit reached!
% 17.12/3.19 % (208728)------------------------------
% 17.12/3.19 % (208728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.19 % (208728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.19 % (208728)CaDiCaL version: 2.1.3
% 17.12/3.19 % (208728)Termination reason: Instruction limit
% 17.12/3.19 % (208728)Termination phase: Saturation
% 17.12/3.19 % (208728)Time elapsed: 0.113 s
% 17.12/3.19 % (208728)Peak memory usage: 94 MB
% 17.12/3.19 % (208728)Instructions burned: 119 (million)
% 17.12/3.19 % (208730)Instruction limit reached!
% 17.12/3.19 % (208730)------------------------------
% 17.12/3.19 % (208730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.19 % (208730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.12/3.19 % (208730)CaDiCaL version: 2.1.3
% 17.12/3.19 % (208730)Termination reason: Instruction limit
% 17.12/3.19 % (208730)Termination phase: Saturation
% 17.12/3.19 % (208730)Time elapsed: 0.124 s
% 17.12/3.19 % (208730)Peak memory usage: 95 MB
% 17.12/3.19 % (208730)Instructions burned: 130 (million)
% 17.12/3.19 % (208738)lrs+10_1_sil=8000:sp=occurrence:random_seed=576850917:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 17.12/3.19 % (208739)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3560536201:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 17.12/3.19 % (208740)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1074466906:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.12/3.19 % (208739)Refutation not found, incomplete strategy
% 17.12/3.19 % (208739)------------------------------
% 17.12/3.19 % (208739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.12/3.19 % (208739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208739)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208739)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208739)Time elapsed: 0.054 s
% 17.78/4.04 % (208739)Peak memory usage: 94 MB
% 17.78/4.04 % (208739)Instructions burned: 61 (million)
% 17.78/4.04 % (208740)Refutation not found, incomplete strategy
% 17.78/4.04 % (208740)------------------------------
% 17.78/4.04 % (208740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208740)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208740)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208740)Time elapsed: 0.027 s
% 17.78/4.04 % (208740)Peak memory usage: 94 MB
% 17.78/4.04 % (208740)Instructions burned: 21 (million)
% 17.78/4.04 % (208727)------------------------------
% 17.78/4.04 % (208727)------------------------------
% 17.78/4.04 % (208738)Instruction limit reached!
% 17.78/4.04 % (208738)------------------------------
% 17.78/4.04 % (208738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208738)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208738)Termination reason: Instruction limit
% 17.78/4.04 % (208738)Termination phase: Saturation
% 17.78/4.04 % (208738)Time elapsed: 0.216 s
% 17.78/4.04 % (208738)Peak memory usage: 98 MB
% 17.78/4.04 % (208738)Instructions burned: 285 (million)
% 17.78/4.04 % (208745)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=3156350514:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 17.78/4.04 % (208748)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3554923680:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 17.78/4.04 % (208748)Refutation not found, incomplete strategy
% 17.78/4.04 % (208748)------------------------------
% 17.78/4.04 % (208748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208748)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208748)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208748)Time elapsed: 0.038 s
% 17.78/4.04 % (208748)Peak memory usage: 94 MB
% 17.78/4.04 % (208748)Instructions burned: 36 (million)
% 17.78/4.04 % (208739)------------------------------
% 17.78/4.04 % (208739)------------------------------
% 17.78/4.04 % (208740)------------------------------
% 17.78/4.04 % (208740)------------------------------
% 17.78/4.04 % (208745)Instruction limit reached!
% 17.78/4.04 % (208745)------------------------------
% 17.78/4.04 % (208745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208745)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208745)Termination reason: Instruction limit
% 17.78/4.04 % (208745)Termination phase: Saturation
% 17.78/4.04 % (208745)Time elapsed: 0.226 s
% 17.78/4.04 % (208745)Peak memory usage: 99 MB
% 17.78/4.04 % (208745)Instructions burned: 249 (million)
% 17.78/4.04 % (208753)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3740469634:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 17.78/4.04 % (208752)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3371428065:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 17.78/4.04 % (208753)Instruction limit reached!
% 17.78/4.04 % (208753)------------------------------
% 17.78/4.04 % (208753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208753)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208753)Termination reason: Instruction limit
% 17.78/4.04 % (208753)Termination phase: Saturation
% 17.78/4.04 % (208753)Time elapsed: 0.102 s
% 17.78/4.04 % (208726)Refutation not found, incomplete strategy
% 17.78/4.04 % (208726)------------------------------
% 17.78/4.04 % (208726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208753)Peak memory usage: 94 MB
% 17.78/4.04 % (208753)Instructions burned: 114 (million)
% 17.78/4.04 % (208726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208726)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208726)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208726)Time elapsed: 1.055 s
% 17.78/4.04 % (208726)Peak memory usage: 147 MB
% 17.78/4.04 % (208726)Instructions burned: 1024 (million)
% 17.78/4.04 % (208754)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3694997116:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 17.78/4.04 % (208748)------------------------------
% 17.78/4.04 % (208748)------------------------------
% 17.78/4.04 % (208754)Instruction limit reached!
% 17.78/4.04 % (208754)------------------------------
% 17.78/4.04 % (208754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208754)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208754)Termination reason: Instruction limit
% 17.78/4.04 % (208754)Termination phase: Property scanning
% 17.78/4.04 % (208754)Time elapsed: 0.127 s
% 17.78/4.04 % (208754)Peak memory usage: 96 MB
% 17.78/4.04 % (208754)Instructions burned: 128 (million)
% 17.78/4.04 % (208758)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2274355990:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 17.78/4.04 % (208760)lrs+10_1_sil=8000:sp=occurrence:random_seed=4192293967:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 17.78/4.04 % (208758)Instruction limit reached!
% 17.78/4.04 % (208758)------------------------------
% 17.78/4.04 % (208758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208758)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208758)Termination reason: Instruction limit
% 17.78/4.04 % (208758)Termination phase: Property scanning
% 17.78/4.04 % (208758)Time elapsed: 0.088 s
% 17.78/4.04 % (208758)Peak memory usage: 91 MB
% 17.78/4.04 % (208758)Instructions burned: 114 (million)
% 17.78/4.04 % (208726)------------------------------
% 17.78/4.04 % (208726)------------------------------
% 17.78/4.04 % (208762)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3071577979:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 17.78/4.04 % (208762)Refutation not found, incomplete strategy
% 17.78/4.04 % (208762)------------------------------
% 17.78/4.04 % (208762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208762)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208762)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208762)Time elapsed: 0.021 s
% 17.78/4.04 % (208762)Peak memory usage: 94 MB
% 17.78/4.04 % (208762)Instructions burned: 20 (million)
% 17.78/4.04 % (208765)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1925143578:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 17.78/4.04 % (208768)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=354399846:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 17.78/4.04 % (208768)Refutation not found, incomplete strategy
% 17.78/4.04 % (208768)------------------------------
% 17.78/4.04 % (208768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208768)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208768)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208768)Time elapsed: 0.030 s
% 17.78/4.04 % (208768)Peak memory usage: 94 MB
% 17.78/4.04 % (208768)Instructions burned: 26 (million)
% 17.78/4.04 % (208762)------------------------------
% 17.78/4.04 % (208762)------------------------------
% 17.78/4.04 % (208768)------------------------------
% 17.78/4.04 % (208768)------------------------------
% 17.78/4.04 % (208771)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=967485235:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 17.78/4.04 % (208771)Refutation not found, incomplete strategy
% 17.78/4.04 % (208771)------------------------------
% 17.78/4.04 % (208771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208771)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208771)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208771)Time elapsed: 0.097 s
% 17.78/4.04 % (208771)Peak memory usage: 95 MB
% 17.78/4.04 % (208771)Instructions burned: 95 (million)
% 17.78/4.04 % (208760)Instruction limit reached!
% 17.78/4.04 % (208760)------------------------------
% 17.78/4.04 % (208760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208760)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208760)Termination reason: Instruction limit
% 17.78/4.04 % (208760)Termination phase: Saturation
% 17.78/4.04 % (208760)Time elapsed: 0.881 s
% 17.78/4.04 % (208760)Peak memory usage: 104 MB
% 17.78/4.04 % (208760)Instructions burned: 907 (million)
% 17.78/4.04 % (208773)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4096962442:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 17.78/4.04 % (208775)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=691822995:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 17.78/4.04 % (208775)Instruction limit reached!
% 17.78/4.04 % (208775)------------------------------
% 17.78/4.04 % (208775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208775)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208775)Termination reason: Instruction limit
% 17.78/4.04 % (208775)Termination phase: Saturation
% 17.78/4.04 % (208775)Time elapsed: 0.127 s
% 17.78/4.04 % (208775)Peak memory usage: 95 MB
% 17.78/4.04 % (208775)Instructions burned: 125 (million)
% 17.78/4.04 % (208771)------------------------------
% 17.78/4.04 % (208771)------------------------------
% 17.78/4.04 % (208779)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2626946189:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 17.78/4.04 % (208779)Instruction limit reached!
% 17.78/4.04 % (208779)------------------------------
% 17.78/4.04 % (208779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208779)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208779)Termination reason: Instruction limit
% 17.78/4.04 % (208779)Termination phase: Preprocessing 2
% 17.78/4.04 % (208779)Time elapsed: 0.115 s
% 17.78/4.04 % (208779)Peak memory usage: 92 MB
% 17.78/4.04 % (208779)Instructions burned: 134 (million)
% 17.78/4.04 % (208780)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=200628309:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 17.78/4.04 % (208724)First to succeed.
% 17.78/4.04 % (208724)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-208717"
% 17.78/4.04 % (208780)Refutation not found, incomplete strategy
% 17.78/4.04 % (208780)------------------------------
% 17.78/4.04 % (208780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.78/4.04 % (208780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.78/4.04 % (208780)CaDiCaL version: 2.1.3
% 17.78/4.04 % (208780)Termination reason: Refutation not found, incomplete strategy
% 17.78/4.04 % (208780)Time elapsed: 0.028 s
% 17.78/4.04 % (208780)Peak memory usage: 94 MB
% 17.78/4.04 % (208780)Instructions burned: 24 (million)
% 17.78/4.04 % (208724)Refutation found. Thanks to Tanya!
% 17.78/4.04 % SZS status Theorem for theBenchmark
% 17.78/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 23.48/4.32 % (208724)------------------------------
% 23.48/4.32 % (208724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.48/4.32 % (208724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.48/4.32 % (208724)CaDiCaL version: 2.1.3
% 23.48/4.32 % (208724)Termination reason: Refutation
% 23.48/4.32 % (208724)Time elapsed: 2.869 s
% 23.48/4.32 % (208724)Peak memory usage: 250 MB
% 23.48/4.32 % (208724)Instructions burned: 5496 (million)
% 23.48/4.32 % (208724)------------------------------
% 23.48/4.32 % (208724)------------------------------
% 23.48/4.32 % (208717)Success in time 3.35 s
% 23.48/4.32 % Vampire exiting
%------------------------------------------------------------------------------