%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO292+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 : n020.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 09:52:21 AM UTC 2026
% Result : Theorem 8.55s 2.07s
% Output : Refutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 144 ( 67 unt; 4 def)
% Number of atoms : 749 ( 290 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 1042 ( 437 ~; 496 |; 96 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 246 ( 0 sgn 222 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(299, 1238, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(298, 1237, 0)') ).
fof(f4,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f5,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(f9,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f10,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f11,axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f12,axiom,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X4 != X5
& ~ ron(X3,X5)
& ~ ron(X3,X4)
& X0 != X2
& X0 != X1
& ron(X2,X5)
& ron(X1,X4)
& ron(X0,X5)
& ron(X0,X4)
& ? [X6] :
( X5 = X6
& rline(X6) )
& ? [X7] :
( X4 = X7
& rline(X7) )
& ? [X8] :
( X3 = X8
& rpoint(X8) )
& ? [X9] :
( X2 = X9
& rpoint(X9) )
& ? [X10] :
( X1 = X10
& rpoint(X10) )
& ? [X11] :
( X0 = X11
& rpoint(X11) ) )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X2,X3,X4)
& rS(X1,X3,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f26,axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof(f28,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof(f29,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof(f30,axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof(f31,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof(f35,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(f47,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f59,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f95,axiom,
! [X0,X1,X2,X3] :
( ( rS(X0,X1,X2)
& X2 = X3
& rline(X3)
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f151,plain,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(flattening,[],[f2]) ).
fof(f152,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X2,X3,X4)
& rS(X1,X3,X5) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X2,X3,X4)
& rS(X1,X3,X5) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(flattening,[],[f155]) ).
fof(f163,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f164,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f163]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f263,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f262]) ).
fof(f373,plain,
( vd1201 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f10]) ).
fof(f374,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sK2
& rpoint(sK2)
& vd1186 = sK3
& rpoint(sK3)
& vd1185 = sK4
& rpoint(sK4)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK5
& rpoint(sK5)
& vd1179 = sK6
& rpoint(sK6)
& vd1178 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7)],[f152]) ).
fof(f375,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X5) )
& ( ( rS(X2,X3,X4)
& rS(X1,X3,X5) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(nnf_transformation,[],[f156]) ).
fof(f376,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X5) )
& ( ( rS(X2,X3,X4)
& rS(X1,X3,X5) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(flattening,[],[f375]) ).
fof(f379,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,[],[f164]) ).
fof(f450,plain,
vangle(vd1186,vd1185,vd1187) != vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
inference(cnf_transformation,[],[f151]) ).
fof(f451,plain,
rS(vd1186,vd1201,vd1232),
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f4]) ).
fof(f453,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[],[f5]) ).
fof(f457,plain,
rS(vd1201,vd1187,vd1197),
inference(cnf_transformation,[],[f9]) ).
fof(f458,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f373]) ).
fof(f459,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f373]) ).
fof(f460,plain,
rline(vd1197),
inference(cnf_transformation,[],[f11]) ).
fof(f461,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f374]) ).
fof(f462,plain,
vd1178 = sK7,
inference(cnf_transformation,[],[f374]) ).
fof(f463,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f374]) ).
fof(f464,plain,
vd1179 = sK6,
inference(cnf_transformation,[],[f374]) ).
fof(f467,plain,
vd1179 != vd1178,
inference(cnf_transformation,[],[f374]) ).
fof(f470,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f374]) ).
fof(f471,plain,
vd1185 = sK4,
inference(cnf_transformation,[],[f374]) ).
fof(f472,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f374]) ).
fof(f473,plain,
vd1186 = sK3,
inference(cnf_transformation,[],[f374]) ).
fof(f474,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f374]) ).
fof(f475,plain,
vd1187 = sK2,
inference(cnf_transformation,[],[f374]) ).
fof(f476,plain,
vf(vd1178,vd1179) = vf(vd1185,vd1186),
inference(cnf_transformation,[],[f374]) ).
fof(f483,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X5)
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| X5 != X6
| ~ rline(X6)
| X4 != X7
| ~ rline(X7)
| X3 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(cnf_transformation,[],[f376]) ).
fof(f497,plain,
ron(vd1186,vd1197),
inference(cnf_transformation,[],[f26]) ).
fof(f499,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f28]) ).
fof(f500,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f29]) ).
fof(f501,plain,
rline(vd1232),
inference(cnf_transformation,[],[f30]) ).
fof(f502,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f31]) ).
fof(f506,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f379]) ).
fof(f507,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f379]) ).
fof(f521,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f47]) ).
fof(f538,plain,
v0 = vd684,
inference(cnf_transformation,[],[f59]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f263]) ).
fof(f756,plain,
vangle(sK3,sK4,sK2) != vplus(vangle(sK3,sK4,sK1),vangle(sK1,sK4,sK2)),
inference(definition_unfolding,[],[f450,f473,f471,f475,f473,f471,f459,f459,f471,f475]) ).
fof(f757,plain,
rS(sK3,sK1,vd1232),
inference(definition_unfolding,[],[f451,f473,f459]) ).
fof(f758,plain,
~ ron(sK1,vd1232),
inference(definition_unfolding,[],[f452,f459]) ).
fof(f759,plain,
rS(sK2,sK1,vd1197),
inference(definition_unfolding,[],[f453,f475,f459]) ).
fof(f762,plain,
rS(sK1,sK2,vd1197),
inference(definition_unfolding,[],[f457,f459,f475]) ).
fof(f766,plain,
vf(sK7,sK6) = vf(sK4,sK3),
inference(definition_unfolding,[],[f476,f462,f464,f471,f473]) ).
fof(f769,plain,
sK6 != sK7,
inference(definition_unfolding,[],[f467,f464,f462]) ).
fof(f779,plain,
ron(sK3,vd1197),
inference(definition_unfolding,[],[f497,f473]) ).
fof(f781,plain,
ron(sK2,vd1232),
inference(definition_unfolding,[],[f499,f475]) ).
fof(f782,plain,
ron(sK4,vd1232),
inference(definition_unfolding,[],[f500,f471]) ).
fof(f783,plain,
ron(sK4,vd1197),
inference(definition_unfolding,[],[f502,f471]) ).
fof(f784,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f507,f538]) ).
fof(f785,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f506,f538]) ).
fof(f796,plain,
~ ron(sK2,vd1197),
inference(definition_unfolding,[],[f521,f475]) ).
fof(f810,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X6)
| X4 = X6
| ron(X3,X6)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X1,X4)
| ~ ron(X0,X6)
| ~ ron(X0,X4)
| ~ rline(X6)
| X4 != X7
| ~ rline(X7)
| X3 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f483]) ).
fof(f811,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X7)
| ~ rS(X1,X3,X6)
| X6 = X7
| ron(X3,X6)
| ron(X3,X7)
| X0 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X1,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| X3 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f810]) ).
fof(f812,plain,
! [X2,X10,X0,X11,X1,X8,X6,X9,X7] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X8),vangle(X8,X0,X2))
| ~ rS(X2,X8,X7)
| ~ rS(X1,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X0 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X1,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f811]) ).
fof(f813,plain,
! [X10,X0,X11,X1,X8,X6,X9,X7] :
( vangle(X1,X0,X9) = vplus(vangle(X1,X0,X8),vangle(X8,X0,X9))
| ~ rS(X9,X8,X7)
| ~ rS(X1,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X0 = X9
| X0 = X1
| ~ ron(X9,X6)
| ~ ron(X1,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f812]) ).
fof(f814,plain,
! [X10,X0,X11,X8,X6,X9,X7] :
( vangle(X10,X0,X9) = vplus(vangle(X10,X0,X8),vangle(X8,X0,X9))
| ~ rS(X9,X8,X7)
| ~ rS(X10,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X0 = X9
| X0 = X10
| ~ ron(X9,X6)
| ~ ron(X10,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f813]) ).
fof(f815,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ rline(X7)
| ~ rS(X9,X8,X7)
| ~ rS(X10,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X9 = X11
| X10 = X11
| ~ ron(X9,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X6)
| ~ ron(X11,X7)
| ~ rline(X6)
| vangle(X10,X11,X9) = vplus(vangle(X10,X11,X8),vangle(X8,X11,X9))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f814]) ).
fof(f840,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f784]) ).
fof(f841,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f840]) ).
fof(f842,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f841]) ).
fof(f843,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f785]) ).
fof(f844,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f843]) ).
fof(f1087,plain,
! [X3,X0,X1,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X1,X3)
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f596]) ).
fof(f1088,plain,
! [X3,X0,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X4,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1087]) ).
fof(f1089,plain,
! [X3,X4,X5] :
( ~ rline(X3)
| ~ rS(X5,X4,X3)
| ~ ron(X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1088]) ).
fof(f1530,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f842]) ).
fof(f1609,plain,
! [X2,X3,X0,X1,X4] :
( ~ rS(X0,X1,vd1197)
| ~ rS(X2,X1,X3)
| vd1197 = X3
| ron(X1,X3)
| ron(X1,vd1197)
| X0 = X4
| X2 = X4
| ~ ron(X0,X3)
| ~ ron(X2,vd1197)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ rline(X3)
| vangle(X2,X4,X0) = vplus(vangle(X2,X4,X1),vangle(X1,X4,X0))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f460,f815]) ).
fof(f1644,plain,
( vd684 != vf(sK4,sK3)
| sK6 = sK7
| ~ rpoint(sK6)
| ~ rpoint(sK7) ),
inference(superposition,[],[f844,f766]) ).
fof(f1645,plain,
( vd684 != vf(sK4,sK3)
| ~ rpoint(sK6)
| ~ rpoint(sK7) ),
inference(forward_subsumption_resolution,[],[f1644,f769]) ).
fof(f1646,plain,
( vd684 != vf(sK4,sK3)
| ~ rpoint(sK7) ),
inference(forward_subsumption_resolution,[],[f1645,f463]) ).
fof(f1647,plain,
vd684 != vf(sK4,sK3),
inference(forward_subsumption_resolution,[],[f1646,f461]) ).
fof(f1690,plain,
! [X0,X1] :
( ~ rS(X0,X1,vd1197)
| ~ ron(X0,vd1197)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1089,f460]) ).
fof(f1717,plain,
vd684 = vf(sK4,sK4),
inference(resolution,[],[f1530,f470]) ).
fof(f1822,plain,
( ~ ron(sK1,vd1197)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1690,f762]) ).
fof(f1823,plain,
( ~ ron(sK1,vd1197)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1822,f474]) ).
fof(f1824,plain,
~ ron(sK1,vd1197),
inference(forward_subsumption_resolution,[],[f1823,f458]) ).
fof(f1854,definition,
( spl58_24
<=> sK3 = sK4 ),
introduced(definition,[new_symbols(definition,[spl58_24])],[avatar_definition]) ).
fof(f1855,plain,
( sK3 = sK4
| ~ spl58_24 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1921,plain,
( vd684 != vf(sK4,sK4)
| ~ spl58_24 ),
inference(superposition,[],[f1647,f1855]) ).
fof(f1931,plain,
( $false
| ~ spl58_24 ),
inference(forward_subsumption_resolution,[],[f1921,f1717]) ).
fof(f1932,plain,
~ spl58_24,
inference(avatar_contradiction_clause,[],[f1931]) ).
fof(f1985,definition,
( spl58_30
<=> sK2 = sK4 ),
introduced(definition,[new_symbols(definition,[spl58_30])],[avatar_definition]) ).
fof(f1986,plain,
( sK2 = sK4
| ~ spl58_30 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f2013,plain,
( ~ ron(sK4,vd1197)
| ~ spl58_30 ),
inference(superposition,[],[f796,f1986]) ).
fof(f2023,plain,
( $false
| ~ spl58_30 ),
inference(forward_subsumption_resolution,[],[f2013,f783]) ).
fof(f2024,plain,
~ spl58_30,
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f3401,definition,
( spl58_126
<=> vd1232 = vd1197 ),
introduced(definition,[new_symbols(definition,[spl58_126])],[avatar_definition]) ).
fof(f3402,plain,
( vd1232 = vd1197
| ~ spl58_126 ),
inference(avatar_component_clause,[],[f3401]) ).
fof(f3433,plain,
( ron(sK2,vd1197)
| ~ spl58_126 ),
inference(superposition,[],[f781,f3402]) ).
fof(f3456,plain,
( $false
| ~ spl58_126 ),
inference(forward_subsumption_resolution,[],[f3433,f796]) ).
fof(f3457,plain,
~ spl58_126,
inference(avatar_contradiction_clause,[],[f3456]) ).
fof(f3911,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK1,X1)
| vd1197 = X1
| ron(sK1,X1)
| ron(sK1,vd1197)
| sK2 = X2
| X0 = X2
| ~ ron(sK2,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK2) = vplus(vangle(X0,X2,sK1),vangle(sK1,X2,sK2))
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1609,f759]) ).
fof(f3916,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK1,X1)
| vd1197 = X1
| ron(sK1,X1)
| sK2 = X2
| X0 = X2
| ~ ron(sK2,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK2) = vplus(vangle(X0,X2,sK1),vangle(sK1,X2,sK2))
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f3911,f1824]) ).
fof(f3918,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK1,X1)
| vd1197 = X1
| ron(sK1,X1)
| sK2 = X2
| X0 = X2
| ~ ron(sK2,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK2) = vplus(vangle(X0,X2,sK1),vangle(sK1,X2,sK2))
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f3916,f458]) ).
fof(f3920,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK1,X1)
| vd1197 = X1
| ron(sK1,X1)
| sK2 = X2
| X0 = X2
| ~ ron(sK2,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK2) = vplus(vangle(X0,X2,sK1),vangle(sK1,X2,sK2))
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f3918,f474]) ).
fof(f3925,plain,
! [X0] :
( vd1232 = vd1197
| ron(sK1,vd1232)
| sK2 = X0
| sK3 = X0
| ~ ron(sK2,vd1232)
| ~ ron(sK3,vd1197)
| ~ ron(X0,vd1232)
| ~ ron(X0,vd1197)
| ~ rline(vd1232)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(resolution,[],[f3920,f757]) ).
fof(f3930,plain,
! [X0] :
( vd1232 = vd1197
| sK2 = X0
| sK3 = X0
| ~ ron(sK2,vd1232)
| ~ ron(sK3,vd1197)
| ~ ron(X0,vd1232)
| ~ ron(X0,vd1197)
| ~ rline(vd1232)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3925,f758]) ).
fof(f3931,plain,
! [X0] :
( vd1232 = vd1197
| sK2 = X0
| sK3 = X0
| ~ ron(sK3,vd1197)
| ~ ron(X0,vd1232)
| ~ ron(X0,vd1197)
| ~ rline(vd1232)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3930,f781]) ).
fof(f3932,plain,
! [X0] :
( vd1232 = vd1197
| sK2 = X0
| sK3 = X0
| ~ ron(X0,vd1232)
| ~ ron(X0,vd1197)
| ~ rline(vd1232)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3931,f779]) ).
fof(f3933,plain,
! [X0] :
( vd1232 = vd1197
| sK2 = X0
| sK3 = X0
| ~ ron(X0,vd1232)
| ~ ron(X0,vd1197)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3932,f501]) ).
fof(f3934,plain,
! [X0] :
( vd1232 = vd1197
| sK2 = X0
| sK3 = X0
| ~ ron(X0,vd1232)
| ~ ron(X0,vd1197)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3933,f472]) ).
fof(f3936,definition,
( spl58_140
<=> ! [X0] :
( sK2 = X0
| ~ rpoint(X0)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ ron(X0,vd1197)
| ~ ron(X0,vd1232)
| sK3 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl58_140])],[avatar_definition]) ).
fof(f3937,plain,
( ! [X0] :
( ~ ron(X0,vd1232)
| ~ rpoint(X0)
| vangle(sK3,X0,sK2) = vplus(vangle(sK3,X0,sK1),vangle(sK1,X0,sK2))
| ~ ron(X0,vd1197)
| sK2 = X0
| sK3 = X0 )
| ~ spl58_140 ),
inference(avatar_component_clause,[],[f3936]) ).
fof(f3938,plain,
( spl58_140
| spl58_126 ),
inference(avatar_split_clause,[],[f3934,f3401,f3936]) ).
fof(f3940,plain,
( ~ rpoint(sK4)
| vangle(sK3,sK4,sK2) = vplus(vangle(sK3,sK4,sK1),vangle(sK1,sK4,sK2))
| ~ ron(sK4,vd1197)
| sK2 = sK4
| sK3 = sK4
| ~ spl58_140 ),
inference(resolution,[],[f3937,f782]) ).
fof(f3941,plain,
( vangle(sK3,sK4,sK2) = vplus(vangle(sK3,sK4,sK1),vangle(sK1,sK4,sK2))
| ~ ron(sK4,vd1197)
| sK2 = sK4
| sK3 = sK4
| ~ spl58_140 ),
inference(forward_subsumption_resolution,[],[f3940,f470]) ).
fof(f3942,plain,
( ~ ron(sK4,vd1197)
| sK2 = sK4
| sK3 = sK4
| ~ spl58_140 ),
inference(forward_subsumption_resolution,[],[f3941,f756]) ).
fof(f3943,plain,
( sK2 = sK4
| sK3 = sK4
| ~ spl58_140 ),
inference(forward_subsumption_resolution,[],[f3942,f783]) ).
fof(f3944,plain,
( spl58_24
| spl58_30
| ~ spl58_140 ),
inference(avatar_split_clause,[],[f3943,f3936,f1985,f1854]) ).
cnf(s29,plain,
~ spl58_24,
inference(sat_conversion,[],[f1932]) ).
cnf(s35,plain,
~ spl58_30,
inference(sat_conversion,[],[f2024]) ).
cnf(s183,plain,
~ spl58_126,
inference(sat_conversion,[],[f3457]) ).
cnf(s200,plain,
( spl58_126
| spl58_140 ),
inference(sat_conversion,[],[f3938]) ).
cnf(s201,plain,
( spl58_24
| spl58_30
| ~ spl58_140 ),
inference(sat_conversion,[],[f3944]) ).
cnf(s204,plain,
spl58_140,
inference(rat,[],[s200,s183]) ).
cnf(s213,plain,
spl58_24,
inference(rat,[],[s201,s204,s35]) ).
cnf(s226,plain,
$false,
inference(rat,[],[s29,s213]) ).
fof(f3945,plain,
$false,
inference(avatar_sat_refutation,[],[s226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO292+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:00:51 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 8.55/2.07 % (3077931)Detected formulas, will run a generic FOF schedule.
% 8.55/2.07 % (3077937)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=3378465801:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.55/2.07 % (3077939)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1568072959:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.55/2.07 % (3077942)dis-21_1_sil=8000:lcm=predicate:random_seed=2032957045: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)
% 8.55/2.07 % (3077940)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2932724029:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.55/2.07 % (3077936)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=3459283577:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.55/2.07 % (3077938)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=968272649:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.55/2.07 % (3077939)Refutation not found, incomplete strategy
% 8.55/2.07 % (3077939)------------------------------
% 8.55/2.07 % (3077939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077939)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077939)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.07 % (3077939)Time elapsed: 0.003 s
% 8.55/2.07 % (3077939)Peak memory usage: 89 MB
% 8.55/2.07 % (3077939)Instructions burned: 2 (million)
% 8.55/2.07 % (3077941)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2896543541:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.55/2.07 % (3077940)Instruction limit reached!
% 8.55/2.07 % (3077940)------------------------------
% 8.55/2.07 % (3077940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077940)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077940)Termination reason: Instruction limit
% 8.55/2.07 % (3077940)Termination phase: Saturation
% 8.55/2.07 % (3077940)Time elapsed: 0.057 s
% 8.55/2.07 % (3077940)Peak memory usage: 88 MB
% 8.55/2.07 % (3077940)Instructions burned: 120 (million)
% 8.55/2.07 % (3077942)Instruction limit reached!
% 8.55/2.07 % (3077942)------------------------------
% 8.55/2.07 % (3077942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077942)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077942)Termination reason: Instruction limit
% 8.55/2.07 % (3077942)Termination phase: Saturation
% 8.55/2.07 % (3077942)Time elapsed: 0.068 s
% 8.55/2.07 % (3077942)Peak memory usage: 90 MB
% 8.55/2.07 % (3077942)Instructions burned: 130 (million)
% 8.55/2.07 % (3077941)Instruction limit reached!
% 8.55/2.07 % (3077941)------------------------------
% 8.55/2.07 % (3077941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077941)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077941)Termination reason: Instruction limit
% 8.55/2.07 % (3077941)Termination phase: Saturation
% 8.55/2.07 % (3077941)Time elapsed: 0.086 s
% 8.55/2.07 % (3077941)Peak memory usage: 90 MB
% 8.55/2.07 % (3077941)Instructions burned: 139 (million)
% 8.55/2.07 % (3077950)lrs+10_1_sil=8000:sp=occurrence:random_seed=1509849834:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.55/2.07 % (3077951)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3322180101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.55/2.07 % (3077951)Refutation not found, incomplete strategy
% 8.55/2.07 % (3077951)------------------------------
% 8.55/2.07 % (3077951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077951)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077951)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.07 % (3077951)Time elapsed: 0.005 s
% 8.55/2.07 % (3077951)Peak memory usage: 89 MB
% 8.55/2.07 % (3077951)Instructions burned: 6 (million)
% 8.55/2.07 % (3077939)------------------------------
% 8.55/2.07 % (3077939)------------------------------
% 8.55/2.07 % (3077952)lrs+1011_1_sil=32000:sp=occurrence:random_seed=738144866:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.55/2.07 % (3077950)Instruction limit reached!
% 8.55/2.07 % (3077950)------------------------------
% 8.55/2.07 % (3077950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077950)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077950)Termination reason: Instruction limit
% 8.55/2.07 % (3077950)Termination phase: Saturation
% 8.55/2.07 % (3077950)Time elapsed: 0.151 s
% 8.55/2.07 % (3077950)Peak memory usage: 92 MB
% 8.55/2.07 % (3077950)Instructions burned: 286 (million)
% 8.55/2.07 % (3077955)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=1985060525:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.55/2.07 % (3077952)Instruction limit reached!
% 8.55/2.07 % (3077952)------------------------------
% 8.55/2.07 % (3077952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077952)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077952)Termination reason: Instruction limit
% 8.55/2.07 % (3077952)Termination phase: Saturation
% 8.55/2.07 % (3077952)Time elapsed: 0.150 s
% 8.55/2.07 % (3077952)Peak memory usage: 89 MB
% 8.55/2.07 % (3077952)Instructions burned: 325 (million)
% 8.55/2.07 % (3077951)------------------------------
% 8.55/2.07 % (3077951)------------------------------
% 8.55/2.07 % (3077957)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=374201432:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.55/2.07 % (3077955)Instruction limit reached!
% 8.55/2.07 % (3077955)------------------------------
% 8.55/2.07 % (3077955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077955)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077955)Termination reason: Instruction limit
% 8.55/2.07 % (3077955)Termination phase: Saturation
% 8.55/2.07 % (3077955)Time elapsed: 0.125 s
% 8.55/2.07 % (3077955)Peak memory usage: 90 MB
% 8.55/2.07 % (3077955)Instructions burned: 248 (million)
% 8.55/2.07 % (3077957)Instruction limit reached!
% 8.55/2.07 % (3077957)------------------------------
% 8.55/2.07 % (3077957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077957)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077957)Termination reason: Instruction limit
% 8.55/2.07 % (3077957)Termination phase: Saturation
% 8.55/2.07 % (3077957)Time elapsed: 0.085 s
% 8.55/2.07 % (3077957)Peak memory usage: 89 MB
% 8.55/2.07 % (3077957)Instructions burned: 296 (million)
% 8.55/2.07 % (3077959)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2679932526:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.55/2.07 % (3077960)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=944262973:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.55/2.07 % (3077960)Instruction limit reached!
% 8.55/2.07 % (3077960)------------------------------
% 8.55/2.07 % (3077960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077960)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077960)Termination reason: Instruction limit
% 8.55/2.07 % (3077960)Termination phase: Saturation
% 8.55/2.07 % (3077960)Time elapsed: 0.062 s
% 8.55/2.07 % (3077960)Peak memory usage: 90 MB
% 8.55/2.07 % (3077960)Instructions burned: 113 (million)
% 8.55/2.07 % (3077962)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1320669035:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.55/2.07 % (3077964)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4192728874:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.55/2.07 % (3077962)Refutation not found, incomplete strategy
% 8.55/2.07 % (3077962)------------------------------
% 8.55/2.07 % (3077962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077962)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077962)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.07 % (3077962)Time elapsed: 0.018 s
% 8.55/2.07 % (3077962)Peak memory usage: 88 MB
% 8.55/2.07 % (3077962)Instructions burned: 36 (million)
% 8.55/2.07 % (3077964)Instruction limit reached!
% 8.55/2.07 % (3077964)------------------------------
% 8.55/2.07 % (3077964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077964)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077964)Termination reason: Instruction limit
% 8.55/2.07 % (3077964)Termination phase: Saturation
% 8.55/2.07 % (3077964)Time elapsed: 0.031 s
% 8.55/2.07 % (3077964)Peak memory usage: 89 MB
% 8.55/2.07 % (3077964)Instructions burned: 115 (million)
% 8.55/2.07 % (3077937)First to succeed.
% 8.55/2.07 % (3077937)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3077931"
% 8.55/2.07 % (3077966)lrs+10_1_sil=8000:sp=occurrence:random_seed=3992921342:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.55/2.07 % (3077969)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=297264103:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.55/2.07 % (3077969)Refutation not found, incomplete strategy
% 8.55/2.07 % (3077969)------------------------------
% 8.55/2.07 % (3077969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.07 % (3077969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.07 % (3077969)CaDiCaL version: 2.1.3
% 8.55/2.07 % (3077969)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.07 % (3077969)Time elapsed: 0.009 s
% 8.55/2.07 % (3077969)Peak memory usage: 89 MB
% 8.55/2.07 % (3077969)Instructions burned: 31 (million)
% 8.55/2.07 % (3077962)------------------------------
% 8.55/2.07 % (3077962)------------------------------
% 8.55/2.07 % (3077936)Also succeeded, but the first one will report.
% 8.55/2.07 % (3077937)Refutation found. Thanks to Tanya!
% 8.55/2.07 % SZS status Theorem for theBenchmark
% 8.55/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 9.03/2.26 % (3077937)------------------------------
% 9.03/2.26 % (3077937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.03/2.26 % (3077937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/2.26 % (3077937)CaDiCaL version: 2.1.3
% 9.03/2.26 % (3077937)Termination reason: Refutation
% 9.03/2.26 % (3077937)Time elapsed: 0.797 s
% 9.03/2.26 % (3077937)Peak memory usage: 135 MB
% 9.03/2.26 % (3077937)Instructions burned: 1595 (million)
% 9.03/2.26 % (3077937)------------------------------
% 9.03/2.26 % (3077937)------------------------------
% 9.03/2.26 % (3077931)Success in time 1.206 s
% 9.03/2.26 % Vampire exiting
%------------------------------------------------------------------------------