%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO276+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:52:19 AM UTC 2026
% Result : Theorem 6.31s 2.20s
% Output : Refutation 11.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 20
% Syntax : Number of formulae : 152 ( 41 unt; 2 def)
% Number of atoms : 770 ( 220 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 1152 ( 534 ~; 551 |; 57 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 300 ( 0 sgn 287 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( rR(vd1080,vd1089,X0)
& ron(X0,vd1091)
& ron(X0,vd1094)
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(229)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( rR(vd1080,vd1089,X0)
& ron(X0,vd1091)
& ron(X0,vd1094)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1094 = vskolem1095,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(pred(228, 2))') ).
fof(f5,axiom,
( ron(vd1081,vskolem1095)
& rcenter(vd1080,vskolem1095)
& rcircle(vskolem1095) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(comma_conjunct2(the(228)), 0), and(pred(comma_conjunct1(the(228)), 0), pred(the(228), 0)))))') ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f7,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( X6 != X4
& ron(X6,X2)
& X6 = X7
& rpoint(X7)
& ron(X4,X2)
& rinside(X4,X0)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rline(X3)
& X0 = X1
& rcircle(X1) )
=> ? [X8] :
( rR(X4,X8,X6)
& ron(X8,X2)
& ron(X8,X0)
& rpoint(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))') ).
fof(f10,axiom,
vd1091 = vskolem1092,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(pred(227, 2))') ).
fof(f12,axiom,
( ron(vd1089,vskolem1092)
& ron(vd1080,vskolem1092)
& rline(vskolem1092) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))))') ).
fof(f14,axiom,
? [X0] :
( vd1080 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f18,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).
fof(f19,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).
fof(f20,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(226, 0)') ).
fof(f21,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 4)') ).
fof(f23,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof(f24,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 1)') ).
fof(f28,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f29,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f31,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f50,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f128,plain,
! [X0] :
( ~ rR(vd1080,vd1089,X0)
| ~ ron(X0,vd1091)
| ~ ron(X0,vd1094)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rR(X4,X8,X6)
& ron(X8,X2)
& ron(X8,X0)
& rpoint(X8) )
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ? [X8] :
( rR(X4,X8,X6)
& ron(X8,X2)
& ron(X8,X0)
& rpoint(X8) )
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(flattening,[],[f133]) ).
fof(f151,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f152,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f156,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f157,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f156]) ).
fof(f329,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rR(X4,sK1(X0,X2,X4,X6),X6)
& ron(sK1(X0,X2,X4,X6),X2)
& ron(sK1(X0,X2,X4,X6),X0)
& rpoint(sK1(X0,X2,X4,X6)) )
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X8,sK1(X0,X2,X4,X6))],[f134]) ).
fof(f331,plain,
( vd1080 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f14]) ).
fof(f336,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f157]) ).
fof(f401,plain,
! [X0] :
( ~ rR(vd1080,vd1089,X0)
| ~ ron(X0,vd1091)
| ~ ron(X0,vd1094)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f402,plain,
vd1094 = vskolem1095,
inference(cnf_transformation,[],[f3]) ).
fof(f404,plain,
rcircle(vskolem1095),
inference(cnf_transformation,[],[f5]) ).
fof(f405,plain,
rcenter(vd1080,vskolem1095),
inference(cnf_transformation,[],[f5]) ).
fof(f407,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f132]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(sK1(X0,X2,X4,X6))
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f412,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK1(X0,X2,X4,X6),X0)
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f413,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(sK1(X0,X2,X4,X6),X2)
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f414,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X4,sK1(X0,X2,X4,X6),X6)
| X4 = X6
| ~ ron(X6,X2)
| X6 != X7
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f329]) ).
fof(f418,plain,
vd1091 = vskolem1092,
inference(cnf_transformation,[],[f10]) ).
fof(f420,plain,
rline(vskolem1092),
inference(cnf_transformation,[],[f12]) ).
fof(f421,plain,
ron(vd1080,vskolem1092),
inference(cnf_transformation,[],[f12]) ).
fof(f422,plain,
ron(vd1089,vskolem1092),
inference(cnf_transformation,[],[f12]) ).
fof(f424,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f331]) ).
fof(f425,plain,
vd1080 = sK3,
inference(cnf_transformation,[],[f331]) ).
fof(f434,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnf_transformation,[],[f18]) ).
fof(f435,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
inference(cnf_transformation,[],[f19]) ).
fof(f436,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f20]) ).
fof(f437,plain,
vd1085 = vd1086,
inference(cnf_transformation,[],[f21]) ).
fof(f439,plain,
vd1080 != vd1085,
inference(cnf_transformation,[],[f23]) ).
fof(f440,plain,
rpoint(vd1086),
inference(cnf_transformation,[],[f24]) ).
fof(f444,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f152]) ).
fof(f445,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f453,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f336]) ).
fof(f454,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f336]) ).
fof(f494,plain,
v0 = vd684,
inference(cnf_transformation,[],[f50]) ).
fof(f652,plain,
! [X0] :
( ~ rR(sK3,vd1089,X0)
| ~ ron(X0,vskolem1092)
| ~ ron(X0,vskolem1095)
| ~ rpoint(X0) ),
inference(definition_unfolding,[],[f401,f425,f418,f402]) ).
fof(f655,plain,
rcenter(sK3,vskolem1095),
inference(definition_unfolding,[],[f405,f425]) ).
fof(f657,plain,
ron(sK3,vskolem1092),
inference(definition_unfolding,[],[f421,f425]) ).
fof(f659,plain,
vf(vd1089,sK3) = vf(vd1086,sK3),
inference(definition_unfolding,[],[f434,f425,f437,f425]) ).
fof(f660,plain,
vf(vd1089,sK3) = vf(vd1089,vd1086),
inference(definition_unfolding,[],[f435,f425,f437]) ).
fof(f662,plain,
vd1086 != sK3,
inference(definition_unfolding,[],[f439,f425,f437]) ).
fof(f663,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f454,f494]) ).
fof(f664,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f453,f494]) ).
fof(f683,plain,
! [X3,X0,X1,X4,X5] :
( rR(X1,X3,X0)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f407]) ).
fof(f684,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f683]) ).
fof(f685,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f684]) ).
fof(f686,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rR(X4,sK1(X0,X2,X4,X7),X7)
| X4 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f414]) ).
fof(f687,plain,
! [X2,X3,X0,X1,X7,X5] :
( rR(X5,sK1(X0,X2,X5,X7),X7)
| X5 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f686]) ).
fof(f688,plain,
! [X3,X0,X1,X7,X5] :
( rR(X5,sK1(X0,X3,X5,X7),X7)
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f687]) ).
fof(f689,plain,
! [X3,X1,X7,X5] :
( rR(X5,sK1(X1,X3,X5,X7),X7)
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f688]) ).
fof(f690,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(sK1(X0,X2,X4,X7),X2)
| X4 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f413]) ).
fof(f691,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(sK1(X0,X2,X5,X7),X2)
| X5 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f690]) ).
fof(f692,plain,
! [X3,X0,X1,X7,X5] :
( ron(sK1(X0,X3,X5,X7),X3)
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f691]) ).
fof(f693,plain,
! [X3,X1,X7,X5] :
( ron(sK1(X1,X3,X5,X7),X3)
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f692]) ).
fof(f694,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(sK1(X0,X2,X4,X7),X0)
| X4 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f412]) ).
fof(f695,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(sK1(X0,X2,X5,X7),X0)
| X5 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f694]) ).
fof(f696,plain,
! [X3,X0,X1,X7,X5] :
( ron(sK1(X0,X3,X5,X7),X0)
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f695]) ).
fof(f697,plain,
! [X3,X1,X7,X5] :
( ron(sK1(X1,X3,X5,X7),X1)
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f696]) ).
fof(f698,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rpoint(sK1(X0,X2,X4,X7))
| X4 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X4,X2)
| ~ rinside(X4,X0)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f411]) ).
fof(f699,plain,
! [X2,X3,X0,X1,X7,X5] :
( rpoint(sK1(X0,X2,X5,X7))
| X5 = X7
| ~ ron(X7,X2)
| ~ rpoint(X7)
| ~ ron(X5,X2)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| X2 != X3
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f698]) ).
fof(f700,plain,
! [X3,X0,X1,X7,X5] :
( rpoint(sK1(X0,X3,X5,X7))
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X0)
| ~ rpoint(X5)
| ~ rline(X3)
| X0 != X1
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f699]) ).
fof(f701,plain,
! [X3,X1,X7,X5] :
( rpoint(sK1(X1,X3,X5,X7))
| X5 = X7
| ~ ron(X7,X3)
| ~ rpoint(X7)
| ~ ron(X5,X3)
| ~ rinside(X5,X1)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rcircle(X1) ),
inference(equality_resolution,[],[f700]) ).
fof(f734,plain,
! [X2,X3,X0] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f444]) ).
fof(f735,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X2,X3) = vf(X3,X2) ),
inference(equality_resolution,[],[f734]) ).
fof(f750,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f663]) ).
fof(f751,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f750]) ).
fof(f752,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f751]) ).
fof(f753,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f664]) ).
fof(f754,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f753]) ).
fof(f1352,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f752]) ).
fof(f1402,plain,
vf(vd1086,sK3) = vf(vd1089,vd1086),
inference(forward_demodulation,[],[f659,f660]) ).
fof(f1403,plain,
rinside(sK3,vskolem1095),
inference(resolution,[],[f445,f655]) ).
fof(f1434,plain,
vd684 = vf(sK3,sK3),
inference(resolution,[],[f1352,f424]) ).
fof(f1452,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1089,X0) = vf(X0,vd1089) ),
inference(resolution,[],[f735,f436]) ).
fof(f1455,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK3,X0) = vf(X0,sK3) ),
inference(resolution,[],[f735,f424]) ).
fof(f1467,definition,
( spl48_14
<=> vd684 = vf(vd1086,sK3) ),
introduced(definition,[new_symbols(definition,[spl48_14])],[avatar_definition]) ).
fof(f1468,plain,
( vd684 = vf(vd1086,sK3)
| ~ spl48_14 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1469,plain,
( vd684 != vf(vd1086,sK3)
| spl48_14 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1473,definition,
( spl48_15
<=> vd1089 = sK3 ),
introduced(definition,[new_symbols(definition,[spl48_15])],[avatar_definition]) ).
fof(f1474,plain,
( vd1089 != sK3
| spl48_15 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1475,plain,
( vd1089 = sK3
| ~ spl48_15 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1487,plain,
vf(vd1086,sK3) = vf(sK3,vd1086),
inference(resolution,[],[f1455,f440]) ).
fof(f1515,plain,
vf(vd1089,vd1086) = vf(vd1086,vd1089),
inference(resolution,[],[f1452,f440]) ).
fof(f1519,plain,
vf(vd1086,sK3) = vf(vd1086,vd1089),
inference(forward_demodulation,[],[f1515,f1402]) ).
fof(f1521,plain,
( vd684 != vf(vd1086,sK3)
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) ),
inference(superposition,[],[f754,f1519]) ).
fof(f1542,plain,
( vf(sK3,sK3) = vf(sK3,vd1086)
| ~ spl48_15 ),
inference(superposition,[],[f660,f1475]) ).
fof(f1550,plain,
( vf(vd1086,sK3) = vf(sK3,sK3)
| ~ spl48_15 ),
inference(forward_demodulation,[],[f1542,f1487]) ).
fof(f1553,plain,
( vd684 = vf(vd1086,sK3)
| ~ spl48_15 ),
inference(forward_demodulation,[],[f1550,f1434]) ).
fof(f1554,plain,
( $false
| spl48_14
| ~ spl48_15 ),
inference(forward_subsumption_resolution,[],[f1553,f1469]) ).
fof(f1555,plain,
( spl48_14
| ~ spl48_15 ),
inference(avatar_contradiction_clause,[],[f1554]) ).
fof(f1558,plain,
( vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl48_14 ),
inference(forward_subsumption_resolution,[],[f1521,f1468]) ).
fof(f1562,plain,
( vd1089 = vd1086
| ~ rpoint(vd1086)
| ~ spl48_14 ),
inference(forward_subsumption_resolution,[],[f1558,f436]) ).
fof(f1564,plain,
( vd1089 = vd1086
| ~ spl48_14 ),
inference(forward_subsumption_resolution,[],[f1562,f440]) ).
fof(f1565,plain,
( vd1086 = sK3
| ~ spl48_14
| ~ spl48_15 ),
inference(forward_demodulation,[],[f1564,f1475]) ).
fof(f1566,plain,
( $false
| ~ spl48_14
| ~ spl48_15 ),
inference(forward_subsumption_resolution,[],[f1565,f662]) ).
fof(f1567,plain,
( ~ spl48_14
| ~ spl48_15 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1570,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ ron(X0,X2)
| ~ rinside(X0,X3)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ rcircle(X3)
| rR(X0,X1,sK1(X3,X2,X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1(X3,X2,X0,X1)) ),
inference(resolution,[],[f689,f685]) ).
fof(f1571,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ ron(X0,X2)
| ~ rinside(X0,X3)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ rcircle(X3)
| rR(X0,X1,sK1(X3,X2,X0,X1))
| ~ rpoint(sK1(X3,X2,X0,X1)) ),
inference(duplicate_literal_removal,[],[f1570]) ).
fof(f1574,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,sK1(X3,X2,X0,X1))
| ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ ron(X0,X2)
| ~ rinside(X0,X3)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ rcircle(X3)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f1571,f701]) ).
fof(f5934,plain,
! [X0,X1] :
( ~ ron(vd1089,X0)
| ~ rpoint(vd1089)
| ~ ron(sK3,X0)
| ~ rinside(sK3,X1)
| ~ rpoint(sK3)
| ~ rline(X0)
| ~ rcircle(X1)
| vd1089 = sK3
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1092)
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1095)
| ~ rpoint(sK1(X1,X0,sK3,vd1089)) ),
inference(resolution,[],[f1574,f652]) ).
fof(f5946,plain,
! [X0,X1] :
( ~ ron(vd1089,X0)
| ~ rpoint(vd1089)
| ~ ron(sK3,X0)
| ~ rinside(sK3,X1)
| ~ rpoint(sK3)
| ~ rline(X0)
| ~ rcircle(X1)
| vd1089 = sK3
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1092)
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1095) ),
inference(forward_subsumption_resolution,[],[f5934,f701]) ).
fof(f5947,plain,
! [X0,X1] :
( ~ ron(vd1089,X0)
| ~ ron(sK3,X0)
| ~ rinside(sK3,X1)
| ~ rpoint(sK3)
| ~ rline(X0)
| ~ rcircle(X1)
| vd1089 = sK3
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1092)
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1095) ),
inference(forward_subsumption_resolution,[],[f5946,f436]) ).
fof(f5948,plain,
! [X0,X1] :
( ~ ron(vd1089,X0)
| ~ ron(sK3,X0)
| ~ rinside(sK3,X1)
| ~ rline(X0)
| ~ rcircle(X1)
| vd1089 = sK3
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1092)
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1095) ),
inference(forward_subsumption_resolution,[],[f5947,f424]) ).
fof(f5949,plain,
( ! [X0,X1] :
( ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1092)
| ~ ron(sK3,X0)
| ~ rinside(sK3,X1)
| ~ rline(X0)
| ~ rcircle(X1)
| ~ ron(vd1089,X0)
| ~ ron(sK1(X1,X0,sK3,vd1089),vskolem1095) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5948,f1474]) ).
fof(f5951,plain,
( ! [X0] :
( ~ ron(sK3,vskolem1092)
| ~ rinside(sK3,X0)
| ~ rline(vskolem1092)
| ~ rcircle(X0)
| ~ ron(vd1089,vskolem1092)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| vd1089 = sK3
| ~ ron(vd1089,vskolem1092)
| ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rinside(sK3,X0)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| ~ rcircle(X0) )
| spl48_15 ),
inference(resolution,[],[f5949,f693]) ).
fof(f5952,plain,
( ! [X0] :
( ~ ron(sK3,vskolem1092)
| ~ rinside(sK3,X0)
| ~ rline(vskolem1092)
| ~ rcircle(X0)
| ~ ron(vd1089,vskolem1092)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| vd1089 = sK3
| ~ rpoint(vd1089)
| ~ rpoint(sK3) )
| spl48_15 ),
inference(duplicate_literal_removal,[],[f5951]) ).
fof(f5954,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rline(vskolem1092)
| ~ rcircle(X0)
| ~ ron(vd1089,vskolem1092)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| vd1089 = sK3
| ~ rpoint(vd1089)
| ~ rpoint(sK3) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5952,f657]) ).
fof(f5955,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ ron(vd1089,vskolem1092)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| vd1089 = sK3
| ~ rpoint(vd1089)
| ~ rpoint(sK3) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5954,f420]) ).
fof(f5956,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| vd1089 = sK3
| ~ rpoint(vd1089)
| ~ rpoint(sK3) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5955,f422]) ).
fof(f5957,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| ~ rpoint(vd1089)
| ~ rpoint(sK3) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5956,f1474]) ).
fof(f5958,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| ~ rpoint(sK3) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5957,f436]) ).
fof(f5959,plain,
( ! [X0] :
( ~ ron(sK1(X0,vskolem1092,sK3,vd1089),vskolem1095)
| ~ rcircle(X0)
| ~ rinside(sK3,X0) )
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5958,f424]) ).
fof(f5960,plain,
( ~ rcircle(vskolem1095)
| ~ rinside(sK3,vskolem1095)
| vd1089 = sK3
| ~ ron(vd1089,vskolem1092)
| ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rinside(sK3,vskolem1095)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| ~ rcircle(vskolem1095)
| spl48_15 ),
inference(resolution,[],[f5959,f697]) ).
fof(f5961,plain,
( ~ rcircle(vskolem1095)
| ~ rinside(sK3,vskolem1095)
| vd1089 = sK3
| ~ ron(vd1089,vskolem1092)
| ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(duplicate_literal_removal,[],[f5960]) ).
fof(f5962,plain,
( ~ rinside(sK3,vskolem1095)
| vd1089 = sK3
| ~ ron(vd1089,vskolem1092)
| ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5961,f404]) ).
fof(f5963,plain,
( vd1089 = sK3
| ~ ron(vd1089,vskolem1092)
| ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5962,f1403]) ).
fof(f5964,plain,
( ~ ron(vd1089,vskolem1092)
| ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5963,f1474]) ).
fof(f5965,plain,
( ~ rpoint(vd1089)
| ~ ron(sK3,vskolem1092)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5964,f422]) ).
fof(f5966,plain,
( ~ ron(sK3,vskolem1092)
| ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5965,f436]) ).
fof(f5967,plain,
( ~ rpoint(sK3)
| ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5966,f657]) ).
fof(f5968,plain,
( ~ rline(vskolem1092)
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5967,f424]) ).
fof(f5969,plain,
( $false
| spl48_15 ),
inference(forward_subsumption_resolution,[],[f5968,f420]) ).
fof(f5970,plain,
spl48_15,
inference(avatar_contradiction_clause,[],[f5969]) ).
cnf(s18,plain,
( spl48_14
| ~ spl48_15 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s20,plain,
( ~ spl48_14
| ~ spl48_15 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s227,plain,
spl48_15,
inference(sat_conversion,[],[f5970]) ).
cnf(s231,plain,
~ spl48_14,
inference(rat,[],[s20,s227]) ).
cnf(s236,plain,
$false,
inference(rat,[],[s18,s227,s231]) ).
fof(f5971,plain,
$false,
inference(avatar_sat_refutation,[],[s236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO276+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 07:56:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.31/2.20 % (1085116)Detected formulas, will run a generic FOF schedule.
% 6.31/2.20 % (1085121)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=920767451:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.31/2.20 % (1085122)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=211175527:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.31/2.20 % (1085125)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3880080328:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.31/2.20 % (1085123)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=303500829:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.31/2.20 % (1085126)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2110477986:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.31/2.20 % (1085124)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3424323501:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.31/2.20 % (1085127)dis-21_1_sil=8000:lcm=predicate:random_seed=274298148: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)
% 6.31/2.20 % (1085124)Refutation not found, incomplete strategy
% 6.31/2.20 % (1085124)------------------------------
% 6.31/2.20 % (1085124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085124)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085124)Termination reason: Refutation not found, incomplete strategy
% 6.31/2.20 % (1085124)Time elapsed: 0.003 s
% 6.31/2.20 % (1085124)Peak memory usage: 88 MB
% 6.31/2.20 % (1085124)Instructions burned: 3 (million)
% 6.31/2.20 % (1085126)Instruction limit reached!
% 6.31/2.20 % (1085126)------------------------------
% 6.31/2.20 % (1085126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085126)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085126)Termination reason: Instruction limit
% 6.31/2.20 % (1085126)Termination phase: Saturation
% 6.31/2.20 % (1085126)Time elapsed: 0.056 s
% 6.31/2.20 % (1085126)Peak memory usage: 90 MB
% 6.31/2.20 % (1085126)Instructions burned: 142 (million)
% 6.31/2.20 % (1085125)Instruction limit reached!
% 6.31/2.20 % (1085125)------------------------------
% 6.31/2.20 % (1085125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085125)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085125)Termination reason: Instruction limit
% 6.31/2.20 % (1085125)Termination phase: Saturation
% 6.31/2.20 % (1085125)Time elapsed: 0.064 s
% 6.31/2.20 % (1085125)Peak memory usage: 88 MB
% 6.31/2.20 % (1085125)Instructions burned: 121 (million)
% 6.31/2.20 % (1085127)Instruction limit reached!
% 6.31/2.20 % (1085127)------------------------------
% 6.31/2.20 % (1085127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085127)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085127)Termination reason: Instruction limit
% 6.31/2.20 % (1085127)Termination phase: Saturation
% 6.31/2.20 % (1085127)Time elapsed: 0.071 s
% 6.31/2.20 % (1085127)Peak memory usage: 90 MB
% 6.31/2.20 % (1085127)Instructions burned: 131 (million)
% 6.31/2.20 % (1085135)lrs+10_1_sil=8000:sp=occurrence:random_seed=1768609158:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.31/2.20 % (1085136)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2675230462:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.31/2.20 % (1085137)lrs+1011_1_sil=32000:sp=occurrence:random_seed=312660528:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.31/2.20 % (1085124)------------------------------
% 6.31/2.20 % (1085124)------------------------------
% 6.31/2.20 % (1085135)Instruction limit reached!
% 6.31/2.20 % (1085135)------------------------------
% 6.31/2.20 % (1085135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085135)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085135)Termination reason: Instruction limit
% 6.31/2.20 % (1085135)Termination phase: Saturation
% 6.31/2.20 % (1085135)Time elapsed: 0.085 s
% 6.31/2.20 % (1085135)Peak memory usage: 92 MB
% 6.31/2.20 % (1085135)Instructions burned: 289 (million)
% 6.31/2.20 % (1085136)Instruction limit reached!
% 6.31/2.20 % (1085136)------------------------------
% 6.31/2.20 % (1085136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085136)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085136)Termination reason: Instruction limit
% 6.31/2.20 % (1085136)Termination phase: Saturation
% 6.31/2.20 % (1085136)Time elapsed: 0.075 s
% 6.31/2.20 % (1085136)Peak memory usage: 93 MB
% 6.31/2.20 % (1085136)Instructions burned: 158 (million)
% 6.31/2.20 % (1085137)Instruction limit reached!
% 6.31/2.20 % (1085137)------------------------------
% 6.31/2.20 % (1085137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085137)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085137)Termination reason: Instruction limit
% 6.31/2.20 % (1085137)Termination phase: Saturation
% 6.31/2.20 % (1085137)Time elapsed: 0.163 s
% 6.31/2.20 % (1085137)Peak memory usage: 91 MB
% 6.31/2.20 % (1085137)Instructions burned: 327 (million)
% 6.31/2.20 % (1085142)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1116675310:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.31/2.20 % (1085141)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=754797898:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.31/2.20 % (1085143)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1265872156:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.31/2.20 % (1085142)Instruction limit reached!
% 6.31/2.20 % (1085142)------------------------------
% 6.31/2.20 % (1085142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085142)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085142)Termination reason: Instruction limit
% 6.31/2.20 % (1085142)Termination phase: Saturation
% 6.31/2.20 % (1085142)Time elapsed: 0.087 s
% 6.31/2.20 % (1085142)Peak memory usage: 90 MB
% 6.31/2.20 % (1085142)Instructions burned: 296 (million)
% 6.31/2.20 % (1085141)Instruction limit reached!
% 6.31/2.20 % (1085141)------------------------------
% 6.31/2.20 % (1085141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085141)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085141)Termination reason: Instruction limit
% 6.31/2.20 % (1085141)Termination phase: Saturation
% 6.31/2.20 % (1085141)Time elapsed: 0.117 s
% 6.31/2.20 % (1085141)Peak memory usage: 91 MB
% 6.31/2.20 % (1085141)Instructions burned: 249 (million)
% 6.31/2.20 % (1085144)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2750253109:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.31/2.20 % (1085148)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1674710316:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.31/2.20 % (1085144)Instruction limit reached!
% 6.31/2.20 % (1085144)------------------------------
% 6.31/2.20 % (1085144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085144)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085144)Termination reason: Instruction limit
% 6.31/2.20 % (1085144)Termination phase: Saturation
% 6.31/2.20 % (1085144)Time elapsed: 0.061 s
% 6.31/2.20 % (1085144)Peak memory usage: 90 MB
% 6.31/2.20 % (1085144)Instructions burned: 113 (million)
% 6.31/2.20 % (1085148)Instruction limit reached!
% 6.31/2.20 % (1085148)------------------------------
% 6.31/2.20 % (1085148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085148)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085148)Termination reason: Instruction limit
% 6.31/2.20 % (1085148)Termination phase: Saturation
% 6.31/2.20 % (1085148)Time elapsed: 0.034 s
% 6.31/2.20 % (1085148)Peak memory usage: 89 MB
% 6.31/2.20 % (1085148)Instructions burned: 130 (million)
% 6.31/2.20 % (1085149)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2411875573:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.31/2.20 % (1085149)Instruction limit reached!
% 6.31/2.20 % (1085149)------------------------------
% 6.31/2.20 % (1085149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085149)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085149)Termination reason: Instruction limit
% 6.31/2.20 % (1085149)Termination phase: Saturation
% 6.31/2.20 % (1085149)Time elapsed: 0.062 s
% 6.31/2.20 % (1085149)Peak memory usage: 89 MB
% 6.31/2.20 % (1085149)Instructions burned: 115 (million)
% 6.31/2.20 % (1085152)lrs+10_1_sil=8000:sp=occurrence:random_seed=1385457335:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.31/2.20 % (1085153)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=602350884:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.31/2.20 % (1085153)Refutation not found, incomplete strategy
% 6.31/2.20 % (1085153)------------------------------
% 6.31/2.20 % (1085153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085153)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085153)Termination reason: Refutation not found, incomplete strategy
% 6.31/2.20 % (1085153)Time elapsed: 0.008 s
% 6.31/2.20 % (1085153)Peak memory usage: 89 MB
% 6.31/2.20 % (1085153)Instructions burned: 27 (million)
% 6.31/2.20 % (1085153)------------------------------
% 6.31/2.20 % (1085153)------------------------------
% 6.31/2.20 % (1085156)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4050321964:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.31/2.20 % (1085159)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=27980607:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.31/2.20 % (1085159)Instruction limit reached!
% 6.31/2.20 % (1085159)------------------------------
% 6.31/2.20 % (1085159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085159)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085159)Termination reason: Instruction limit
% 6.31/2.20 % (1085159)Termination phase: Saturation
% 6.31/2.20 % (1085159)Time elapsed: 0.036 s
% 6.31/2.20 % (1085159)Peak memory usage: 93 MB
% 6.31/2.20 % (1085159)Instructions burned: 137 (million)
% 6.31/2.20 % (1085121)First to succeed.
% 6.31/2.20 % (1085121)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1085116"
% 6.31/2.20 % (1085161)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=523730267:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 6.31/2.20 % (1085152)Instruction limit reached!
% 6.31/2.20 % (1085152)------------------------------
% 6.31/2.20 % (1085152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085152)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085152)Termination reason: Instruction limit
% 6.31/2.20 % (1085152)Termination phase: Saturation
% 6.31/2.20 % (1085152)Time elapsed: 0.511 s
% 6.31/2.20 % (1085152)Peak memory usage: 101 MB
% 6.31/2.20 % (1085152)Instructions burned: 908 (million)
% 6.31/2.20 % (1085161)Instruction limit reached!
% 6.31/2.20 % (1085161)------------------------------
% 6.31/2.20 % (1085161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/2.20 % (1085161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/2.20 % (1085161)CaDiCaL version: 2.1.3
% 6.31/2.20 % (1085161)Termination reason: Instruction limit
% 6.31/2.20 % (1085161)Termination phase: Saturation
% 6.31/2.20 % (1085161)Time elapsed: 0.163 s
% 6.31/2.20 % (1085161)Peak memory usage: 92 MB
% 6.31/2.20 % (1085161)Instructions burned: 595 (million)
% 6.31/2.20 % (1085121)Refutation found. Thanks to Tanya!
% 6.31/2.20 % SZS status Theorem for theBenchmark
% 6.31/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 11.52/2.39 % (1085121)------------------------------
% 11.52/2.39 % (1085121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.52/2.39 % (1085121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.52/2.39 % (1085121)CaDiCaL version: 2.1.3
% 11.52/2.39 % (1085121)Termination reason: Refutation
% 11.52/2.39 % (1085121)Time elapsed: 1.158 s
% 11.52/2.39 % (1085121)Peak memory usage: 138 MB
% 11.52/2.39 % (1085121)Instructions burned: 1792 (million)
% 11.52/2.39 % (1085121)------------------------------
% 11.52/2.39 % (1085121)------------------------------
% 11.52/2.39 % (1085116)Success in time 1.583 s
% 11.52/2.39 % Vampire exiting
%------------------------------------------------------------------------------