%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO289+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 : n013.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 2.39s 7.03s
% Output : Refutation 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 72 ( 35 unt; 0 def)
% Number of atoms : 677 ( 391 equ)
% Maximal formula atoms : 23 ( 9 avg)
% Number of connectives : 1027 ( 422 ~; 517 |; 87 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 320 ( 298 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1156,vd1158,vd1157) = vangle(vd1163,vd1165,vd1164),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(266)), 1177, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
( ~ ? [X0] :
( ron(vd1165,X0)
& ron(vd1164,X0)
& ron(vd1163,X0)
& rline(X0) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& ? [X1] :
( vd1165 = X1
& rpoint(X1) )
& ? [X2] :
( vd1164 = X2
& rpoint(X2) )
& ? [X3] :
( vd1163 = X3
& rpoint(X3) )
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& ? [X4] :
( vd1158 = X4
& rpoint(X4) )
& ? [X5] :
( vd1157 = X5
& rpoint(X5) )
& ? [X6] :
( vd1156 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ ? [X6] :
( ron(X5,X6)
& ron(X4,X6)
& ron(X3,X6)
& rline(X6) )
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& vf(X0,X2) = vf(X3,X5)
& vf(X0,X1) = vf(X3,X4)
& ? [X7] :
( X5 = X7
& rpoint(X7) )
& ? [X8] :
( X4 = X8
& rpoint(X8) )
& ? [X9] :
( X3 = X9
& rpoint(X9) )
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X10] :
( X2 = X10
& rpoint(X10) )
& ? [X11] :
( X1 = X11
& rpoint(X11) )
& ? [X12] :
( X0 = X12
& rpoint(X12) ) )
=> vangle(X3,X5,X4) = vangle(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 0)') ).
fof(f159,plain,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
inference(flattening,[],[f2]) ).
fof(f161,plain,
( ! [X0] :
( ~ ron(vd1165,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1163,X0)
| ~ rline(X0) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& ? [X1] :
( vd1165 = X1
& rpoint(X1) )
& ? [X2] :
( vd1164 = X2
& rpoint(X2) )
& ? [X3] :
( vd1163 = X3
& rpoint(X3) )
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& ? [X4] :
( vd1158 = X4
& rpoint(X4) )
& ? [X5] :
( vd1157 = X5
& rpoint(X5) )
& ? [X6] :
( vd1156 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f172,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| ? [X6] :
( ron(X5,X6)
& ron(X4,X6)
& ron(X3,X6)
& rline(X6) )
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| ! [X7] :
( X5 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X4 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X3 != X9
| ~ rpoint(X9) )
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X10] :
( X2 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X1 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X0 != X12
| ~ rpoint(X12) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| ? [X6] :
( ron(X5,X6)
& ron(X4,X6)
& ron(X3,X6)
& rline(X6) )
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| ! [X7] :
( X5 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X4 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X3 != X9
| ~ rpoint(X9) )
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X10] :
( X2 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X1 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X0 != X12
| ~ rpoint(X12) ) ),
inference(flattening,[],[f172]) ).
fof(f176,plain,
( ! [X0] :
( ~ ron(vd1165,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1163,X0)
| ~ rline(X0) )
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vd1165 = sK1
& rpoint(sK1)
& vd1164 = sK2
& rpoint(sK2)
& vd1163 = sK3
& rpoint(sK3)
& vd1157 != vd1158
& vd1156 != vd1158
& vd1156 != vd1157
& vd1158 = sK4
& rpoint(sK4)
& vd1157 = sK5
& rpoint(sK5)
& vd1156 = sK6
& rpoint(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f161]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| ( ron(X5,sK12(X3,X4,X5))
& ron(X4,sK12(X3,X4,X5))
& ron(X3,sK12(X3,X4,X5))
& rline(sK12(X3,X4,X5)) )
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| ! [X7] :
( X5 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X4 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X3 != X9
| ~ rpoint(X9) )
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X10] :
( X2 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X1 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X0 != X12
| ~ rpoint(X12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X6,sK12(X3,X4,X5))],[f173]) ).
fof(f184,plain,
vangle(vd1156,vd1158,vd1157) != vangle(vd1163,vd1165,vd1164),
inference(cnf_transformation,[],[f159]) ).
fof(f185,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f176]) ).
fof(f186,plain,
vd1156 = sK6,
inference(cnf_transformation,[],[f176]) ).
fof(f187,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f176]) ).
fof(f188,plain,
vd1157 = sK5,
inference(cnf_transformation,[],[f176]) ).
fof(f189,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f176]) ).
fof(f190,plain,
vd1158 = sK4,
inference(cnf_transformation,[],[f176]) ).
fof(f191,plain,
vd1156 != vd1157,
inference(cnf_transformation,[],[f176]) ).
fof(f192,plain,
vd1156 != vd1158,
inference(cnf_transformation,[],[f176]) ).
fof(f193,plain,
vd1158 != vd1157,
inference(cnf_transformation,[],[f176]) ).
fof(f194,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f176]) ).
fof(f195,plain,
vd1163 = sK3,
inference(cnf_transformation,[],[f176]) ).
fof(f196,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f176]) ).
fof(f197,plain,
vd1164 = sK2,
inference(cnf_transformation,[],[f176]) ).
fof(f198,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f176]) ).
fof(f199,plain,
vd1165 = sK1,
inference(cnf_transformation,[],[f176]) ).
fof(f200,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[],[f176]) ).
fof(f201,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[],[f176]) ).
fof(f202,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[],[f176]) ).
fof(f203,plain,
! [X0] :
( ~ ron(vd1165,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1163,X0)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f231,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| rline(sK12(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f183]) ).
fof(f232,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| ron(X3,sK12(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f183]) ).
fof(f233,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| ron(X4,sK12(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f183]) ).
fof(f234,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vangle(X3,X5,X4) = vangle(X0,X2,X1)
| ron(X5,sK12(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f183]) ).
fof(f235,plain,
vangle(sK6,sK4,sK5) != vangle(sK3,sK1,sK2),
inference(definition_unfolding,[],[f184,f186,f190,f188,f195,f199,f197]) ).
fof(f236,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) ),
inference(definition_unfolding,[],[f203,f199,f197,f195]) ).
fof(f237,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(definition_unfolding,[],[f202,f188,f186,f190,f197,f195,f199]) ).
fof(f238,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(definition_unfolding,[],[f201,f186,f190,f195,f199]) ).
fof(f239,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(definition_unfolding,[],[f200,f186,f188,f195,f197]) ).
fof(f240,plain,
sK4 != sK5,
inference(definition_unfolding,[],[f193,f190,f188]) ).
fof(f241,plain,
sK4 != sK6,
inference(definition_unfolding,[],[f192,f186,f190]) ).
fof(f242,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f191,f186,f188]) ).
fof(f337,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X4)
| ron(X7,sK12(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f234]) ).
fof(f338,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X8)
| ron(X7,sK12(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f337]) ).
fof(f339,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X9,X7,X8)
| ron(X7,sK12(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f338]) ).
fof(f340,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X1)
| ron(X7,sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f339]) ).
fof(f341,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X11)
| ron(X7,sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f340]) ).
fof(f342,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X7,sK12(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f341]) ).
fof(f343,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X4)
| ron(X4,sK12(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f233]) ).
fof(f344,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X8)
| ron(X8,sK12(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f343]) ).
fof(f345,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X9,X7,X8)
| ron(X8,sK12(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f344]) ).
fof(f346,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X1)
| ron(X8,sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f345]) ).
fof(f347,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X11)
| ron(X8,sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f346]) ).
fof(f348,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X8,sK12(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f347]) ).
fof(f349,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X4)
| ron(X3,sK12(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f232]) ).
fof(f350,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X8)
| ron(X3,sK12(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f349]) ).
fof(f351,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X9,X7,X8)
| ron(X9,sK12(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f350]) ).
fof(f352,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X1)
| ron(X9,sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f351]) ).
fof(f353,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X11)
| ron(X9,sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f352]) ).
fof(f354,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X9,sK12(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f353]) ).
fof(f355,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X4)
| rline(sK12(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f231]) ).
fof(f356,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X3,X7,X8)
| rline(sK12(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f355]) ).
fof(f357,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X0,X2,X1) = vangle(X9,X7,X8)
| rline(sK12(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f356]) ).
fof(f358,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X1)
| rline(sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f357]) ).
fof(f359,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vangle(X9,X7,X8) = vangle(X0,X10,X11)
| rline(sK12(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f358]) ).
fof(f360,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| rline(sK12(X9,X8,X7))
| vangle(X9,X7,X8) = vangle(X12,X10,X11)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f359]) ).
fof(f1304,plain,
rline(sK12(sK3,sK2,sK1)),
inference(unit_resulting_resolution,[],[f360,f185,f187,f189,f194,f196,f198,f242,f241,f240,f239,f238,f235,f237]) ).
fof(f1788,plain,
ron(sK1,sK12(sK3,sK2,sK1)),
inference(unit_resulting_resolution,[],[f342,f185,f187,f189,f194,f196,f198,f242,f241,f240,f239,f238,f235,f237]) ).
fof(f1921,plain,
ron(sK2,sK12(sK3,sK2,sK1)),
inference(unit_resulting_resolution,[],[f348,f185,f187,f189,f194,f196,f198,f242,f241,f240,f239,f238,f235,f237]) ).
fof(f1990,plain,
~ ron(sK3,sK12(sK3,sK2,sK1)),
inference(unit_resulting_resolution,[],[f236,f1304,f1788,f1921]) ).
fof(f1992,plain,
ron(sK3,sK12(sK3,sK2,sK1)),
inference(unit_resulting_resolution,[],[f354,f185,f187,f189,f194,f196,f198,f242,f241,f240,f239,f238,f235,f237]) ).
fof(f2025,plain,
$false,
inference(forward_subsumption_resolution,[],[f1992,f1990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO289+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.80 % Computer : n013.cluster.edu
% 0.11/5.80 % Model : x86_64 x86_64
% 0.11/5.80 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.80 % Memory : 8046.5625MB
% 0.11/5.80 % OS : Linux 6.8.0-71-generic
% 0.11/5.80 % CPULimit : 300
% 0.11/5.80 % WCLimit : 300
% 0.11/5.80 % DateTime : Sun Sep 27 07:59:26 UTC 2026
% 0.11/5.81 % CPUTime :
% 0.11/5.81 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.84 Running first-order theorem proving
% 0.11/5.84 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
% 2.39/7.03 % (4094766)Detected formulas, will run a generic FOF schedule.
% 2.39/7.03 % (4094771)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=2824516042:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.39/7.03 % (4094777)dis-21_1_sil=8000:lcm=predicate:random_seed=3756633733: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)
% 2.39/7.03 % (4094774)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3806199053:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.39/7.03 % (4094775)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3788647907:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.39/7.03 % (4094772)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=127163591:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.39/7.03 % (4094776)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3908399901:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.39/7.03 % (4094773)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=4100848456:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.39/7.03 % (4094774)Instruction limit reached!
% 2.39/7.03 % (4094774)------------------------------
% 2.39/7.03 % (4094774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094774)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094774)Termination reason: Instruction limit
% 2.39/7.03 % (4094774)Termination phase: Saturation
% 2.39/7.03 % (4094774)Time elapsed: 0.053 s
% 2.39/7.03 % (4094774)Peak memory usage: 89 MB
% 2.39/7.03 % (4094774)Instructions burned: 109 (million)
% 2.39/7.03 % (4094777)Instruction limit reached!
% 2.39/7.03 % (4094777)------------------------------
% 2.39/7.03 % (4094777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094777)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094777)Termination reason: Instruction limit
% 2.39/7.03 % (4094777)Termination phase: Saturation
% 2.39/7.03 % (4094777)Time elapsed: 0.056 s
% 2.39/7.03 % (4094777)Peak memory usage: 91 MB
% 2.39/7.03 % (4094777)Instructions burned: 129 (million)
% 2.39/7.03 % (4094776)Instruction limit reached!
% 2.39/7.03 % (4094776)------------------------------
% 2.39/7.03 % (4094776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094776)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094776)Termination reason: Instruction limit
% 2.39/7.03 % (4094776)Termination phase: Saturation
% 2.39/7.03 % (4094776)Time elapsed: 0.062 s
% 2.39/7.03 % (4094776)Peak memory usage: 90 MB
% 2.39/7.03 % (4094776)Instructions burned: 140 (million)
% 2.39/7.03 % (4094775)Instruction limit reached!
% 2.39/7.03 % (4094775)------------------------------
% 2.39/7.03 % (4094775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094775)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094775)Termination reason: Instruction limit
% 2.39/7.03 % (4094775)Termination phase: Saturation
% 2.39/7.03 % (4094775)Time elapsed: 0.065 s
% 2.39/7.03 % (4094775)Peak memory usage: 89 MB
% 2.39/7.03 % (4094775)Instructions burned: 119 (million)
% 2.39/7.03 % (4094785)lrs+10_1_sil=8000:sp=occurrence:random_seed=393381047:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.39/7.03 % (4094787)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1090566959:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.39/7.03 % (4094786)lrs+10_1_sil=32000:urr=on:br=off:random_seed=990835634:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.39/7.03 % (4094788)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=2228593856:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 2.39/7.03 % (4094786)First to succeed.
% 2.39/7.03 % (4094786)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4094766"
% 2.39/7.03 % (4094788)Instruction limit reached!
% 2.39/7.03 % (4094788)------------------------------
% 2.39/7.03 % (4094788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094788)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094788)Termination reason: Instruction limit
% 2.39/7.03 % (4094788)Termination phase: Saturation
% 2.39/7.03 % (4094788)Time elapsed: 0.113 s
% 2.39/7.03 % (4094788)Peak memory usage: 92 MB
% 2.39/7.03 % (4094788)Instructions burned: 249 (million)
% 2.39/7.03 % (4094785)Instruction limit reached!
% 2.39/7.03 % (4094785)------------------------------
% 2.39/7.03 % (4094785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094785)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094785)Termination reason: Instruction limit
% 2.39/7.03 % (4094785)Termination phase: Saturation
% 2.39/7.03 % (4094785)Time elapsed: 0.149 s
% 2.39/7.03 % (4094785)Peak memory usage: 92 MB
% 2.39/7.03 % (4094785)Instructions burned: 286 (million)
% 2.39/7.03 % (4094787)Instruction limit reached!
% 2.39/7.03 % (4094787)------------------------------
% 2.39/7.03 % (4094787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/7.03 % (4094787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/7.03 % (4094787)CaDiCaL version: 2.1.3
% 2.39/7.03 % (4094787)Termination reason: Instruction limit
% 2.39/7.03 % (4094787)Termination phase: Saturation
% 2.39/7.03 % (4094787)Time elapsed: 0.151 s
% 2.39/7.03 % (4094787)Peak memory usage: 90 MB
% 2.39/7.03 % (4094787)Instructions burned: 326 (million)
% 2.39/7.03 % (4094793)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4271781236:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 2.39/7.03 % (4094794)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3055852914:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 2.39/7.03 % (4094795)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4007371434:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 2.39/7.03 % (4094786)Refutation found. Thanks to Tanya!
% 2.39/7.03 % SZS status Theorem for theBenchmark
% 2.39/7.03 % SZS output start Proof for theBenchmark
% See solution above
% 5.77/7.23 % (4094786)------------------------------
% 5.77/7.23 % (4094786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/7.23 % (4094786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/7.23 % (4094786)CaDiCaL version: 2.1.3
% 5.77/7.23 % (4094786)Termination reason: Refutation
% 5.77/7.23 % (4094786)Time elapsed: 0.072 s
% 5.77/7.23 % (4094786)Peak memory usage: 90 MB
% 5.77/7.23 % (4094786)Instructions burned: 147 (million)
% 5.77/7.23 % (4094786)------------------------------
% 5.77/7.23 % (4094786)------------------------------
% 5.77/7.23 % (4094766)Success in time 0.742 s
% 5.77/7.23 % Vampire exiting
%------------------------------------------------------------------------------