%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO273+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 09:52:18 AM UTC 2026
% Result : Theorem 5.45s 1.77s
% Output : Refutation 6.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 19 unt; 0 def)
% Number of atoms : 371 ( 247 equ)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 527 ( 217 ~; 278 |; 20 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 9 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-8 aty)
% Number of variables : 201 ( 193 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( vf(vd1069,vd1070) = vf(vd1074,X0)
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(222)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( vf(vd1069,vd1070) = vf(vd1074,X0)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1074 = vd1075,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(221, 4)') ).
fof(f4,axiom,
vd1074 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(221), 1077, 0)') ).
fof(f5,axiom,
vd1074 != vd1069,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(221), 1076, 0)') ).
fof(f6,axiom,
rpoint(vd1075),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(221, 1)') ).
fof(f7,axiom,
vd1069 != vd1070,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(220, 5)') ).
fof(f8,axiom,
? [X0] :
( vd1070 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(220)))') ).
fof(f9,axiom,
? [X0] :
( vd1069 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(220)))') ).
fof(f10,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ! [X4,X5] :
( ( X4 = X5
& X4 != X1
& X4 != X0
& rpoint(X5) )
=> ! [X6] :
( X6 = vskolem1092(X4,X5,X0,X1)
=> ! [X7] :
( X7 = vskolem1095(X6,X4,X5,X0,X1)
=> ! [X8] :
( X8 = vskolem1099(X7,X6,X4,X5,X0,X1)
=> ! [X9] :
( X9 = vskolem1102(X8,X7,X6,X4,X5,X0,X1)
=> vf(X0,X1) = vf(X4,vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(223), 0), 0)') ).
fof(f17,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ! [X4,X5] :
( ( X4 = X5
& X4 != X1
& X4 != X0
& rpoint(X5) )
=> ! [X6] :
( X6 = vskolem1092(X4,X5,X0,X1)
=> ! [X7] :
( X7 = vskolem1095(X6,X4,X5,X0,X1)
=> ! [X8] :
( X8 = vskolem1099(X7,X6,X4,X5,X0,X1)
=> ! [X9] :
( X9 = vskolem1102(X8,X7,X6,X4,X5,X0,X1)
=> rpoint(vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(223), 0), 7)') ).
fof(f138,plain,
! [X0] :
( vf(vd1069,vd1070) != vf(vd1074,X0)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f187,plain,
! [X0,X1] :
( ! [X4,X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( vf(X0,X1) = vf(X4,vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1))
| vskolem1102(X8,X7,X6,X4,X5,X0,X1) != X9 )
| vskolem1099(X7,X6,X4,X5,X0,X1) != X8 )
| vskolem1095(X6,X4,X5,X0,X1) != X7 )
| vskolem1092(X4,X5,X0,X1) != X6 )
| X4 != X5
| X1 = X4
| X0 = X4
| ~ rpoint(X5) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f188,plain,
! [X0,X1] :
( ! [X4,X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( vf(X0,X1) = vf(X4,vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1))
| vskolem1102(X8,X7,X6,X4,X5,X0,X1) != X9 )
| vskolem1099(X7,X6,X4,X5,X0,X1) != X8 )
| vskolem1095(X6,X4,X5,X0,X1) != X7 )
| vskolem1092(X4,X5,X0,X1) != X6 )
| X4 != X5
| X1 = X4
| X0 = X4
| ~ rpoint(X5) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f187]) ).
fof(f363,plain,
! [X0,X1] :
( ! [X4,X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( rpoint(vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1))
| vskolem1102(X8,X7,X6,X4,X5,X0,X1) != X9 )
| vskolem1099(X7,X6,X4,X5,X0,X1) != X8 )
| vskolem1095(X6,X4,X5,X0,X1) != X7 )
| vskolem1092(X4,X5,X0,X1) != X6 )
| X4 != X5
| X1 = X4
| X0 = X4
| ~ rpoint(X5) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f364,plain,
! [X0,X1] :
( ! [X4,X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( rpoint(vskolem1103(X9,X8,X7,X6,X4,X5,X0,X1))
| vskolem1102(X8,X7,X6,X4,X5,X0,X1) != X9 )
| vskolem1099(X7,X6,X4,X5,X0,X1) != X8 )
| vskolem1095(X6,X4,X5,X0,X1) != X7 )
| vskolem1092(X4,X5,X0,X1) != X6 )
| X4 != X5
| X1 = X4
| X0 = X4
| ~ rpoint(X5) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f363]) ).
fof(f385,plain,
( vd1069 = sK10
& rpoint(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f9]) ).
fof(f386,plain,
( vd1070 = sK11
& rpoint(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f8]) ).
fof(f401,plain,
! [X0,X1] :
( ! [X2,X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( vf(X0,X1) = vf(X2,vskolem1103(X7,X6,X5,X4,X2,X3,X0,X1))
| vskolem1102(X6,X5,X4,X2,X3,X0,X1) != X7 )
| vskolem1099(X5,X4,X2,X3,X0,X1) != X6 )
| vskolem1095(X4,X2,X3,X0,X1) != X5 )
| vskolem1092(X2,X3,X0,X1) != X4 )
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3) )
| X0 = X1
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(rectify,[],[f188]) ).
fof(f460,plain,
! [X0,X1] :
( ! [X2,X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( rpoint(vskolem1103(X7,X6,X5,X4,X2,X3,X0,X1))
| vskolem1102(X6,X5,X4,X2,X3,X0,X1) != X7 )
| vskolem1099(X5,X4,X2,X3,X0,X1) != X6 )
| vskolem1095(X4,X2,X3,X0,X1) != X5 )
| vskolem1092(X2,X3,X0,X1) != X4 )
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3) )
| X0 = X1
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(rectify,[],[f364]) ).
fof(f463,plain,
! [X0] :
( vf(vd1069,vd1070) != vf(vd1074,X0)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f495,plain,
rpoint(sK10),
inference(cnf_transformation,[],[f385]) ).
fof(f496,plain,
vd1069 = sK10,
inference(cnf_transformation,[],[f385]) ).
fof(f497,plain,
vd1069 != vd1070,
inference(cnf_transformation,[],[f7]) ).
fof(f498,plain,
vd1069 != vd1074,
inference(cnf_transformation,[],[f5]) ).
fof(f499,plain,
rpoint(sK11),
inference(cnf_transformation,[],[f386]) ).
fof(f500,plain,
vd1070 = sK11,
inference(cnf_transformation,[],[f386]) ).
fof(f501,plain,
vd1070 != vd1074,
inference(cnf_transformation,[],[f4]) ).
fof(f535,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vf(X0,X1) = vf(X2,vskolem1103(X7,X6,X5,X4,X2,X3,X0,X1))
| vskolem1102(X6,X5,X4,X2,X3,X0,X1) != X7
| vskolem1099(X5,X4,X2,X3,X0,X1) != X6
| vskolem1095(X4,X2,X3,X0,X1) != X5
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f401]) ).
fof(f536,plain,
vd1074 = vd1075,
inference(cnf_transformation,[],[f3]) ).
fof(f712,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rpoint(vskolem1103(X7,X6,X5,X4,X2,X3,X0,X1))
| vskolem1102(X6,X5,X4,X2,X3,X0,X1) != X7
| vskolem1099(X5,X4,X2,X3,X0,X1) != X6
| vskolem1095(X4,X2,X3,X0,X1) != X5
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f460]) ).
fof(f715,plain,
rpoint(vd1075),
inference(cnf_transformation,[],[f6]) ).
fof(f716,plain,
! [X0] :
( vf(sK10,sK11) != vf(vd1075,X0)
| ~ rpoint(X0) ),
inference(definition_unfolding,[],[f463,f496,f500,f536]) ).
fof(f717,plain,
sK10 != sK11,
inference(definition_unfolding,[],[f497,f496,f500]) ).
fof(f718,plain,
vd1075 != sK10,
inference(definition_unfolding,[],[f498,f496,f536]) ).
fof(f719,plain,
vd1075 != sK11,
inference(definition_unfolding,[],[f501,f500,f536]) ).
fof(f897,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( vf(X0,X1) = vf(X2,vskolem1103(vskolem1102(X6,X5,X4,X2,X3,X0,X1),X6,X5,X4,X2,X3,X0,X1))
| vskolem1099(X5,X4,X2,X3,X0,X1) != X6
| vskolem1095(X4,X2,X3,X0,X1) != X5
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f535]) ).
fof(f898,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( vf(X0,X1) = vf(X2,vskolem1103(vskolem1102(vskolem1099(X5,X4,X2,X3,X0,X1),X5,X4,X2,X3,X0,X1),vskolem1099(X5,X4,X2,X3,X0,X1),X5,X4,X2,X3,X0,X1))
| vskolem1095(X4,X2,X3,X0,X1) != X5
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f897]) ).
fof(f899,plain,
! [X2,X3,X0,X1,X8,X9,X4] :
( vf(X0,X1) = vf(X2,vskolem1103(vskolem1102(vskolem1099(vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1),vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1),vskolem1099(vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1),vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1))
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f898]) ).
fof(f900,plain,
! [X2,X3,X0,X1,X8,X9] :
( vf(X0,X1) = vf(X2,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1099(vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1))
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f899]) ).
fof(f901,plain,
! [X3,X0,X1,X8,X9] :
( vf(X0,X1) = vf(X3,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1))
| X1 = X3
| X0 = X3
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f900]) ).
fof(f902,plain,
! [X3,X0,X8,X9] :
( vf(X0,X8) = vf(X3,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8))
| X3 = X8
| X0 = X3
| ~ rpoint(X3)
| X0 = X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f901]) ).
fof(f903,plain,
! [X3,X8,X9] :
( vf(X9,X8) = vf(X3,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1099(vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8))
| X3 = X8
| X3 = X9
| ~ rpoint(X3)
| X8 = X9
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f902]) ).
fof(f1510,plain,
! [X2,X3,X0,X1,X8,X6,X9,X4,X5] :
( rpoint(vskolem1103(vskolem1102(X6,X5,X4,X2,X3,X0,X1),X6,X5,X4,X2,X3,X0,X1))
| vskolem1099(X5,X4,X2,X3,X0,X1) != X6
| vskolem1095(X4,X2,X3,X0,X1) != X5
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f712]) ).
fof(f1511,plain,
! [X2,X3,X0,X1,X8,X9,X4,X5] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(X5,X4,X2,X3,X0,X1),X5,X4,X2,X3,X0,X1),vskolem1099(X5,X4,X2,X3,X0,X1),X5,X4,X2,X3,X0,X1))
| vskolem1095(X4,X2,X3,X0,X1) != X5
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1510]) ).
fof(f1512,plain,
! [X2,X3,X0,X1,X8,X9,X4] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1),vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1),vskolem1099(vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1),vskolem1095(X4,X2,X3,X0,X1),X4,X2,X3,X0,X1))
| vskolem1092(X2,X3,X0,X1) != X4
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1511]) ).
fof(f1513,plain,
! [X2,X3,X0,X1,X8,X9] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1099(vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1095(vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1),vskolem1092(X2,X3,X0,X1),X2,X3,X0,X1))
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1512]) ).
fof(f1514,plain,
! [X3,X0,X1,X8,X9] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1095(vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1),vskolem1092(X3,X3,X0,X1),X3,X3,X0,X1))
| X1 = X3
| X0 = X3
| ~ rpoint(X3)
| X0 = X1
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1513]) ).
fof(f1515,plain,
! [X3,X0,X8,X9] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1099(vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1095(vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8),vskolem1092(X3,X3,X0,X8),X3,X3,X0,X8))
| X3 = X8
| X0 = X3
| ~ rpoint(X3)
| X0 = X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1514]) ).
fof(f1516,plain,
! [X3,X8,X9] :
( rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1099(vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1095(vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8),vskolem1092(X3,X3,X9,X8),X3,X3,X9,X8))
| X3 = X8
| X3 = X9
| ~ rpoint(X3)
| X8 = X9
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1515]) ).
fof(f1540,plain,
! [X0,X1] :
( vf(X0,X1) != vf(sK10,sK11)
| ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1))
| vd1075 = X1
| vd1075 = X0
| ~ rpoint(vd1075)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f716,f903]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1099(vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1095(vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1),vskolem1092(vd1075,vd1075,X0,X1),vd1075,vd1075,X0,X1))
| vf(X0,X1) != vf(sK10,sK11)
| vd1075 = X1
| vd1075 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1540,f715]) ).
fof(f1609,plain,
! [X0,X1] :
( vf(X0,X1) != vf(sK10,sK11)
| vd1075 = X1
| vd1075 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1075 = X1
| vd1075 = X0
| ~ rpoint(vd1075)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1548,f1516]) ).
fof(f1616,plain,
! [X0,X1] :
( vf(X0,X1) != vf(sK10,sK11)
| vd1075 = X1
| vd1075 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1075) ),
inference(duplicate_literal_removal,[],[f1609]) ).
fof(f1620,plain,
! [X0,X1] :
( vf(X0,X1) != vf(sK10,sK11)
| vd1075 = X1
| vd1075 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1616,f715]) ).
fof(f1800,plain,
( vd1075 = sK11
| vd1075 = sK10
| sK10 = sK11
| ~ rpoint(sK11)
| ~ rpoint(sK10) ),
inference(equality_resolution,[],[f1620]) ).
fof(f1811,plain,
( vd1075 = sK10
| sK10 = sK11
| ~ rpoint(sK11)
| ~ rpoint(sK10) ),
inference(forward_subsumption_resolution,[],[f1800,f719]) ).
fof(f1824,plain,
( sK10 = sK11
| ~ rpoint(sK11)
| ~ rpoint(sK10) ),
inference(forward_subsumption_resolution,[],[f1811,f718]) ).
fof(f1829,plain,
( ~ rpoint(sK11)
| ~ rpoint(sK10) ),
inference(forward_subsumption_resolution,[],[f1824,f717]) ).
fof(f1830,plain,
~ rpoint(sK10),
inference(forward_subsumption_resolution,[],[f1829,f499]) ).
fof(f1831,plain,
$false,
inference(forward_subsumption_resolution,[],[f1830,f495]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO273+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 07:55:54 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 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
% 5.45/1.77 % (1084700)Detected formulas, will run a generic FOF schedule.
% 5.45/1.77 % (1084709)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=832645460:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.45/1.77 % (1084709)Refutation not found, incomplete strategy
% 5.45/1.77 % (1084709)------------------------------
% 5.45/1.77 % (1084709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084709)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084709)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.77 % (1084709)Time elapsed: 0.002 s
% 5.45/1.77 % (1084709)Peak memory usage: 88 MB
% 5.45/1.77 % (1084709)Instructions burned: 3 (million)
% 5.45/1.77 % (1084708)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2110997572:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.45/1.77 % (1084707)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=3448103423:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.45/1.77 % (1084711)dis-21_1_sil=8000:lcm=predicate:random_seed=1866350019: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)
% 5.45/1.77 % (1084705)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=544785199:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.45/1.77 % (1084706)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=313577418:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.45/1.77 % (1084708)Refutation not found, incomplete strategy
% 5.45/1.77 % (1084708)------------------------------
% 5.45/1.77 % (1084708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084708)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084708)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.77 % (1084708)Time elapsed: 0.003 s
% 5.45/1.77 % (1084708)Peak memory usage: 89 MB
% 5.45/1.77 % (1084708)Instructions burned: 2 (million)
% 5.45/1.77 % (1084710)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3743341109:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.45/1.77 % (1084711)Instruction limit reached!
% 5.45/1.77 % (1084711)------------------------------
% 5.45/1.77 % (1084711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084711)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084711)Termination reason: Instruction limit
% 5.45/1.77 % (1084711)Termination phase: Saturation
% 5.45/1.77 % (1084711)Time elapsed: 0.065 s
% 5.45/1.77 % (1084711)Peak memory usage: 90 MB
% 5.45/1.77 % (1084711)Instructions burned: 129 (million)
% 5.45/1.77 % (1084710)Instruction limit reached!
% 5.45/1.77 % (1084710)------------------------------
% 5.45/1.77 % (1084710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084710)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084710)Termination reason: Instruction limit
% 5.45/1.77 % (1084710)Termination phase: Saturation
% 5.45/1.77 % (1084710)Time elapsed: 0.079 s
% 5.45/1.77 % (1084710)Peak memory usage: 90 MB
% 5.45/1.77 % (1084710)Instructions burned: 140 (million)
% 5.45/1.77 % (1084709)------------------------------
% 5.45/1.77 % (1084709)------------------------------
% 5.45/1.77 % (1084719)lrs+10_1_sil=8000:sp=occurrence:random_seed=695651056:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.45/1.77 % (1084721)lrs+1011_1_sil=32000:sp=occurrence:random_seed=312811680:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.45/1.77 % (1084720)lrs+10_1_sil=32000:urr=on:br=off:random_seed=946129972:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.45/1.77 % (1084708)------------------------------
% 5.45/1.77 % (1084708)------------------------------
% 5.45/1.77 % (1084720)Instruction limit reached!
% 5.45/1.77 % (1084720)------------------------------
% 5.45/1.77 % (1084720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084720)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084720)Termination reason: Instruction limit
% 5.45/1.77 % (1084720)Termination phase: Saturation
% 5.45/1.77 % (1084720)Time elapsed: 0.073 s
% 5.45/1.77 % (1084720)Peak memory usage: 92 MB
% 5.45/1.77 % (1084720)Instructions burned: 159 (million)
% 5.45/1.77 % (1084721)Instruction limit reached!
% 5.45/1.77 % (1084721)------------------------------
% 5.45/1.77 % (1084721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084721)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084721)Termination reason: Instruction limit
% 5.45/1.77 % (1084721)Termination phase: Saturation
% 5.45/1.77 % (1084721)Time elapsed: 0.107 s
% 5.45/1.77 % (1084721)Peak memory usage: 93 MB
% 5.45/1.77 % (1084721)Instructions burned: 327 (million)
% 5.45/1.77 % (1084719)Instruction limit reached!
% 5.45/1.77 % (1084719)------------------------------
% 5.45/1.77 % (1084719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084719)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084719)Termination reason: Instruction limit
% 5.45/1.77 % (1084719)Termination phase: Saturation
% 5.45/1.77 % (1084719)Time elapsed: 0.154 s
% 5.45/1.77 % (1084719)Peak memory usage: 93 MB
% 5.45/1.77 % (1084719)Instructions burned: 287 (million)
% 5.45/1.77 % (1084725)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=2581099798:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.45/1.77 % (1084726)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3236967259:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.45/1.77 % (1084727)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2786885948:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.45/1.77 % (1084726)First to succeed.
% 5.45/1.77 % (1084726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1084700"
% 5.45/1.77 % (1084725)Instruction limit reached!
% 5.45/1.77 % (1084725)------------------------------
% 5.45/1.77 % (1084725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084725)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084725)Termination reason: Instruction limit
% 5.45/1.77 % (1084725)Termination phase: Saturation
% 5.45/1.77 % (1084725)Time elapsed: 0.114 s
% 5.45/1.77 % (1084725)Peak memory usage: 92 MB
% 5.45/1.77 % (1084725)Instructions burned: 248 (million)
% 5.45/1.77 % (1084728)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3223975371:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.45/1.77 % (1084728)Instruction limit reached!
% 5.45/1.77 % (1084728)------------------------------
% 5.45/1.77 % (1084728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084728)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084728)Termination reason: Instruction limit
% 5.45/1.77 % (1084728)Termination phase: Saturation
% 5.45/1.77 % (1084728)Time elapsed: 0.062 s
% 5.45/1.77 % (1084728)Peak memory usage: 90 MB
% 5.45/1.77 % (1084728)Instructions burned: 115 (million)
% 5.45/1.77 % (1084733)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3354620026:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.45/1.77 % (1084733)Refutation not found, incomplete strategy
% 5.45/1.77 % (1084733)------------------------------
% 5.45/1.77 % (1084733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.45/1.77 % (1084733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.77 % (1084733)CaDiCaL version: 2.1.3
% 5.45/1.77 % (1084733)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.77 % (1084733)Time elapsed: 0.025 s
% 5.45/1.77 % (1084733)Peak memory usage: 88 MB
% 5.45/1.77 % (1084733)Instructions burned: 51 (million)
% 5.45/1.77 % (1084706)Also succeeded, but the first one will report.
% 5.45/1.77 % (1084726)Refutation found. Thanks to Tanya!
% 5.45/1.77 % SZS status Theorem for theBenchmark
% 5.45/1.77 % SZS output start Proof for theBenchmark
% See solution above
% 6.96/1.97 % (1084726)------------------------------
% 6.96/1.97 % (1084726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.97 % (1084726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.97 % (1084726)CaDiCaL version: 2.1.3
% 6.96/1.97 % (1084726)Termination reason: Refutation
% 6.96/1.97 % (1084726)Time elapsed: 0.031 s
% 6.96/1.97 % (1084726)Peak memory usage: 90 MB
% 6.96/1.97 % (1084726)Instructions burned: 56 (million)
% 6.96/1.97 % (1084726)------------------------------
% 6.96/1.97 % (1084726)------------------------------
% 6.96/1.97 % (1084700)Success in time 0.907 s
% 6.96/1.97 % Vampire exiting
%------------------------------------------------------------------------------