%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO332+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:52:29 AM UTC 2026
% Result : Theorem 2.74s 1.39s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 19 unt; 0 def)
% Number of atoms : 414 ( 188 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 597 ( 257 ~; 293 |; 43 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-8 aty)
% Number of variables : 210 ( 203 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( vf(vd1362,X0) = vf(vd1361,vd1363)
& rR(X0,vd1362,vd1361)
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(390)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( vf(vd1362,X0) = vf(vd1361,vd1363)
& rR(X0,vd1362,vd1361)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(389, 1370, 0)') ).
fof(f7,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).
fof(f8,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).
fof(f9,axiom,
? [X0] :
( vd1363 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof(f10,axiom,
? [X0] :
( vd1362 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof(f11,axiom,
? [X0] :
( vd1361 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f26,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f131,plain,
! [X0] :
( vf(vd1362,X0) != vf(vd1361,vd1363)
| ~ rR(X0,vd1362,vd1361)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f146]) ).
fof(f160,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f161,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f160]) ).
fof(f348,plain,
( vd1363 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f9]) ).
fof(f349,plain,
( vd1362 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f10]) ).
fof(f350,plain,
( vd1361 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f11]) ).
fof(f428,plain,
! [X0] :
( vf(vd1362,X0) != vf(vd1361,vd1363)
| ~ rR(X0,vd1362,vd1361)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f429,plain,
rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
inference(cnf_transformation,[],[f3]) ).
fof(f433,plain,
vd1361 != vd1363,
inference(cnf_transformation,[],[f7]) ).
fof(f434,plain,
vd1362 != vd1361,
inference(cnf_transformation,[],[f8]) ).
fof(f435,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f348]) ).
fof(f436,plain,
vd1363 = sK1,
inference(cnf_transformation,[],[f348]) ).
fof(f437,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f349]) ).
fof(f438,plain,
vd1362 = sK2,
inference(cnf_transformation,[],[f349]) ).
fof(f439,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f350]) ).
fof(f440,plain,
vd1361 = sK3,
inference(cnf_transformation,[],[f350]) ).
fof(f455,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f456,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f457,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f147]) ).
fof(f470,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f161]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vf(X4,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7))
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f455]) ).
fof(f771,plain,
! [X2,X3,X0,X1,X7,X5] :
( vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f770]) ).
fof(f772,plain,
! [X3,X0,X1,X7,X5] :
( vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f771]) ).
fof(f773,plain,
! [X3,X1,X7,X5] :
( vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f772]) ).
fof(f774,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7),X0,X2)
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f456]) ).
fof(f775,plain,
! [X2,X3,X0,X1,X7,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7),X0,X2)
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f774]) ).
fof(f776,plain,
! [X3,X0,X1,X7,X5] :
( rR(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7),X0,X3)
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f775]) ).
fof(f777,plain,
! [X3,X1,X7,X5] :
( ~ rpoint(X3)
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f776]) ).
fof(f778,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7))
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f457]) ).
fof(f779,plain,
! [X2,X3,X0,X1,X7,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f778]) ).
fof(f780,plain,
! [X3,X0,X1,X7,X5] :
( rpoint(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f779]) ).
fof(f781,plain,
! [X3,X1,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f780]) ).
fof(f826,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f470]) ).
fof(f827,plain,
! [X2,X3] :
( ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f826]) ).
fof(f1518,plain,
rpoint(vd1363),
inference(superposition,[],[f435,f436]) ).
fof(f1519,plain,
rpoint(vd1362),
inference(superposition,[],[f437,f438]) ).
fof(f1520,plain,
rpoint(vd1361),
inference(superposition,[],[f439,f440]) ).
fof(f1540,plain,
! [X0] :
( vf(X0,sK3) = vf(sK3,X0)
| ~ rpoint(X0) ),
inference(resolution,[],[f827,f439]) ).
fof(f1544,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1361) = vf(vd1361,X0) ),
inference(forward_demodulation,[],[f1540,f440]) ).
fof(f1556,plain,
vf(vd1361,vd1362) = vf(vd1362,vd1361),
inference(resolution,[],[f1544,f1519]) ).
fof(f1558,plain,
vf(vd1361,vd1363) = vf(vd1363,vd1361),
inference(resolution,[],[f1544,f1518]) ).
fof(f1810,plain,
! [X2,X0,X1] :
( rR(vskolem1120(X2,X2,X0,X0,X1,X1,X0,X0),X2,X0)
| ~ rless(vf(X1,X0),vf(X2,X0))
| X0 = X1
| X0 = X2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(factoring,[],[f777]) ).
fof(f1834,plain,
! [X2,X0,X1] :
( vf(vd1361,vd1363) != vf(X0,X1)
| ~ rR(vskolem1120(vd1362,vd1362,X2,X2,X0,X0,X1,X1),vd1362,vd1361)
| ~ rpoint(vskolem1120(vd1362,vd1362,X2,X2,X0,X0,X1,X1))
| ~ rless(vf(X0,X1),vf(vd1362,X2))
| X0 = X1
| vd1362 = X2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(vd1362) ),
inference(superposition,[],[f428,f773]) ).
fof(f1837,plain,
! [X2,X0,X1] :
( vf(vd1361,vd1363) != vf(X0,X1)
| ~ rR(vskolem1120(vd1362,vd1362,X2,X2,X0,X0,X1,X1),vd1362,vd1361)
| ~ rless(vf(X0,X1),vf(vd1362,X2))
| X0 = X1
| vd1362 = X2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(vd1362) ),
inference(forward_subsumption_resolution,[],[f1834,f781]) ).
fof(f1838,plain,
! [X2,X0,X1] :
( ~ rR(vskolem1120(vd1362,vd1362,X2,X2,X0,X0,X1,X1),vd1362,vd1361)
| vf(vd1361,vd1363) != vf(X0,X1)
| ~ rless(vf(X0,X1),vf(vd1362,X2))
| X0 = X1
| vd1362 = X2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1837,f1519]) ).
fof(f2918,plain,
! [X0] :
( ~ rless(vf(X0,vd1361),vf(vd1362,vd1361))
| vd1361 = X0
| vd1362 = vd1361
| ~ rpoint(X0)
| ~ rpoint(vd1361)
| ~ rpoint(vd1362)
| vf(vd1361,vd1363) != vf(X0,vd1361)
| ~ rless(vf(X0,vd1361),vf(vd1362,vd1361))
| vd1361 = X0
| vd1362 = vd1361
| ~ rpoint(vd1361)
| ~ rpoint(X0)
| ~ rpoint(vd1361) ),
inference(resolution,[],[f1810,f1838]) ).
fof(f2955,plain,
! [X0] :
( ~ rless(vf(X0,vd1361),vf(vd1362,vd1361))
| vd1361 = X0
| vd1362 = vd1361
| ~ rpoint(X0)
| ~ rpoint(vd1361)
| ~ rpoint(vd1362)
| vf(vd1361,vd1363) != vf(X0,vd1361) ),
inference(duplicate_literal_removal,[],[f2918]) ).
fof(f2956,plain,
! [X0] :
( ~ rless(vf(X0,vd1361),vf(vd1362,vd1361))
| vd1361 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1361)
| ~ rpoint(vd1362)
| vf(vd1361,vd1363) != vf(X0,vd1361) ),
inference(forward_subsumption_resolution,[],[f2955,f434]) ).
fof(f2957,plain,
! [X0] :
( ~ rless(vf(X0,vd1361),vf(vd1362,vd1361))
| vd1361 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1362)
| vf(vd1361,vd1363) != vf(X0,vd1361) ),
inference(forward_subsumption_resolution,[],[f2956,f1520]) ).
fof(f2958,plain,
! [X0] :
( ~ rless(vf(X0,vd1361),vf(vd1362,vd1361))
| vd1361 = X0
| ~ rpoint(X0)
| vf(vd1361,vd1363) != vf(X0,vd1361) ),
inference(forward_subsumption_resolution,[],[f2957,f1519]) ).
fof(f2959,plain,
! [X0] :
( vf(vd1361,vd1363) != vf(X0,vd1361)
| vd1361 = X0
| ~ rpoint(X0)
| ~ rless(vf(X0,vd1361),vf(vd1361,vd1362)) ),
inference(forward_demodulation,[],[f2958,f1556]) ).
fof(f2961,plain,
( vf(vd1361,vd1363) != vf(vd1361,vd1363)
| vd1361 = vd1363
| ~ rpoint(vd1363)
| ~ rless(vf(vd1361,vd1363),vf(vd1361,vd1362)) ),
inference(superposition,[],[f2959,f1558]) ).
fof(f2967,plain,
( vd1361 = vd1363
| ~ rpoint(vd1363)
| ~ rless(vf(vd1361,vd1363),vf(vd1361,vd1362)) ),
inference(trivial_inequality_removal,[],[f2961]) ).
fof(f2973,plain,
( ~ rpoint(vd1363)
| ~ rless(vf(vd1361,vd1363),vf(vd1361,vd1362)) ),
inference(forward_subsumption_resolution,[],[f2967,f433]) ).
fof(f2990,plain,
~ rless(vf(vd1361,vd1363),vf(vd1361,vd1362)),
inference(forward_subsumption_resolution,[],[f2973,f1518]) ).
fof(f2992,plain,
$false,
inference(forward_subsumption_resolution,[],[f2990,f429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO332+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:06:45 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/1.39 % (2083978)Detected formulas, will run a generic FOF schedule.
% 2.74/1.39 % (2083989)dis-21_1_sil=8000:lcm=predicate:random_seed=4084661557: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)
% 2.74/1.39 % (2083989)Instruction limit reached!
% 2.74/1.39 % (2083989)------------------------------
% 2.74/1.39 % (2083989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.39 % (2083989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.39 % (2083989)CaDiCaL version: 2.1.3
% 2.74/1.39 % (2083989)Termination reason: Instruction limit
% 2.74/1.39 % (2083989)Termination phase: Saturation
% 2.74/1.39 % (2083989)Time elapsed: 0.030 s
% 2.74/1.39 % (2083989)Peak memory usage: 89 MB
% 2.74/1.39 % (2083989)Instructions burned: 131 (million)
% 2.74/1.39 % (2083984)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=3342165030:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.39 % (2083988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2305155689:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.39 % (2083986)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=74299112:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.39 % (2083987)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=899897250:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.39 % (2083983)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=1303747071:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.39 % (2083985)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=110807191:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.39 % (2083986)Refutation not found, incomplete strategy
% 2.74/1.39 % (2083986)------------------------------
% 2.74/1.39 % (2083986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.39 % (2083986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.39 % (2083986)CaDiCaL version: 2.1.3
% 2.74/1.39 % (2083986)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.39 % (2083986)Time elapsed: 0.004 s
% 2.74/1.39 % (2083986)Peak memory usage: 88 MB
% 2.74/1.39 % (2083986)Instructions burned: 3 (million)
% 2.74/1.39 % (2083987)Instruction limit reached!
% 2.74/1.39 % (2083987)------------------------------
% 2.74/1.39 % (2083987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.39 % (2083987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.39 % (2083987)CaDiCaL version: 2.1.3
% 2.74/1.39 % (2083987)Termination reason: Instruction limit
% 2.74/1.39 % (2083987)Termination phase: Saturation
% 2.74/1.39 % (2083987)Time elapsed: 0.062 s
% 2.74/1.39 % (2083987)Peak memory usage: 88 MB
% 2.74/1.39 % (2083987)Instructions burned: 121 (million)
% 2.74/1.39 % (2083988)First to succeed.
% 2.74/1.39 % (2083988)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2083978"
% 2.74/1.39 % (2083991)lrs+10_1_sil=8000:sp=occurrence:random_seed=452574:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.74/1.39 % (2083991)Instruction limit reached!
% 2.74/1.39 % (2083991)------------------------------
% 2.74/1.39 % (2083991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.39 % (2083991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.39 % (2083991)CaDiCaL version: 2.1.3
% 2.74/1.39 % (2083991)Termination reason: Instruction limit
% 2.74/1.39 % (2083991)Termination phase: Saturation
% 2.74/1.39 % (2083991)Time elapsed: 0.080 s
% 2.74/1.39 % (2083991)Peak memory usage: 91 MB
% 2.74/1.39 % (2083991)Instructions burned: 286 (million)
% 2.74/1.39 % (2083998)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2275883742:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.74/1.39 % (2083986)------------------------------
% 2.74/1.39 % (2083986)------------------------------
% 2.74/1.39 % (2083998)Instruction limit reached!
% 2.74/1.39 % (2083998)------------------------------
% 2.74/1.39 % (2083998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.39 % (2083998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.39 % (2083998)CaDiCaL version: 2.1.3
% 2.74/1.39 % (2083998)Termination reason: Instruction limit
% 2.74/1.39 % (2083998)Termination phase: Saturation
% 2.74/1.39 % (2083998)Time elapsed: 0.073 s
% 2.74/1.39 % (2083998)Peak memory usage: 91 MB
% 2.74/1.39 % (2083998)Instructions burned: 157 (million)
% 2.74/1.39 % (2084000)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1074755400:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 2.74/1.39 % (2083988)Refutation found. Thanks to Tanya!
% 2.74/1.39 % SZS status Theorem for theBenchmark
% 2.74/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.58 % (2083988)------------------------------
% 4.15/1.58 % (2083988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.58 % (2083988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.58 % (2083988)CaDiCaL version: 2.1.3
% 4.15/1.58 % (2083988)Termination reason: Refutation
% 4.15/1.58 % (2083988)Time elapsed: 0.080 s
% 4.15/1.58 % (2083988)Peak memory usage: 90 MB
% 4.15/1.58 % (2083988)Instructions burned: 125 (million)
% 4.15/1.58 % (2083988)------------------------------
% 4.15/1.58 % (2083988)------------------------------
% 4.15/1.58 % (2083978)Success in time 0.51 s
% 4.15/1.58 % Vampire exiting
%------------------------------------------------------------------------------