%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO287+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 : n017.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 9.26s 2.17s
% Output : Refutation 9.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 10
% Syntax : Number of formulae : 156 ( 42 unt; 6 def)
% Number of atoms : 1273 ( 691 equ)
% Maximal formula atoms : 23 ( 8 avg)
% Number of connectives : 1895 ( 778 ~;1021 |; 90 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-3 aty)
% Number of variables : 438 ( 0 sgn 414 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1157,vd1158) = vf(vd1164,vd1165),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(266), 1175, 0)') ).
fof(f2,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,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) ) )
=> vf(X4,X5) = vf(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 2)') ).
fof(f65,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f157,plain,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(flattening,[],[f2]) ).
fof(f162,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,[],[f3]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ? [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(f168,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ? [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,[],[f167]) ).
fof(f285,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f286,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f285]) ).
fof(f455,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)],[f162]) ).
fof(f458,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ( ron(X5,sK9(X3,X4,X5))
& ron(X4,sK9(X3,X4,X5))
& ron(X3,sK9(X3,X4,X5))
& rline(sK9(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,[sK9]),skolemize(X6,sK9(X3,X4,X5))],[f168]) ).
fof(f607,plain,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(cnf_transformation,[],[f157]) ).
fof(f608,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f455]) ).
fof(f609,plain,
vd1156 = sK6,
inference(cnf_transformation,[],[f455]) ).
fof(f610,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f455]) ).
fof(f611,plain,
vd1157 = sK5,
inference(cnf_transformation,[],[f455]) ).
fof(f612,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f455]) ).
fof(f613,plain,
vd1158 = sK4,
inference(cnf_transformation,[],[f455]) ).
fof(f614,plain,
vd1157 != vd1156,
inference(cnf_transformation,[],[f455]) ).
fof(f615,plain,
vd1158 != vd1156,
inference(cnf_transformation,[],[f455]) ).
fof(f616,plain,
vd1157 != vd1158,
inference(cnf_transformation,[],[f455]) ).
fof(f617,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f455]) ).
fof(f618,plain,
vd1163 = sK3,
inference(cnf_transformation,[],[f455]) ).
fof(f619,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f455]) ).
fof(f620,plain,
vd1164 = sK2,
inference(cnf_transformation,[],[f455]) ).
fof(f621,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f455]) ).
fof(f622,plain,
vd1165 = sK1,
inference(cnf_transformation,[],[f455]) ).
fof(f623,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[],[f455]) ).
fof(f624,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[],[f455]) ).
fof(f625,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[],[f455]) ).
fof(f626,plain,
! [X0] :
( ~ ron(vd1165,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1163,X0)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f455]) ).
fof(f635,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X4,X5) = vf(X1,X2)
| rline(sK9(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,[],[f458]) ).
fof(f636,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X4,X5) = vf(X1,X2)
| ron(X3,sK9(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,[],[f458]) ).
fof(f637,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X4,X5) = vf(X1,X2)
| ron(X4,sK9(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,[],[f458]) ).
fof(f638,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X4,X5) = vf(X1,X2)
| ron(X5,sK9(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,[],[f458]) ).
fof(f837,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f286]) ).
fof(f1032,plain,
vf(sK5,sK4) != vf(sK2,sK1),
inference(definition_unfolding,[],[f607,f611,f613,f620,f622]) ).
fof(f1033,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) ),
inference(definition_unfolding,[],[f626,f622,f620,f618]) ).
fof(f1034,plain,
vangle(sK5,sK6,sK4) = vangle(sK2,sK3,sK1),
inference(definition_unfolding,[],[f625,f611,f609,f613,f620,f618,f622]) ).
fof(f1035,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(definition_unfolding,[],[f624,f609,f613,f618,f622]) ).
fof(f1036,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(definition_unfolding,[],[f623,f609,f611,f618,f620]) ).
fof(f1037,plain,
sK4 != sK5,
inference(definition_unfolding,[],[f616,f611,f613]) ).
fof(f1038,plain,
sK4 != sK6,
inference(definition_unfolding,[],[f615,f613,f609]) ).
fof(f1039,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f614,f611,f609]) ).
fof(f1097,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| ron(X7,sK9(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,[],[f638]) ).
fof(f1098,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X7,sK9(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,[],[f1097]) ).
fof(f1099,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X7,sK9(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,[],[f1098]) ).
fof(f1100,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| ron(X7,sK9(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,[],[f1099]) ).
fof(f1101,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| ron(X7,sK9(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,[],[f1100]) ).
fof(f1102,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X7,sK9(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| 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,[],[f1101]) ).
fof(f1103,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| ron(X4,sK9(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,[],[f637]) ).
fof(f1104,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X8,sK9(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,[],[f1103]) ).
fof(f1105,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X8,sK9(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,[],[f1104]) ).
fof(f1106,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| ron(X8,sK9(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,[],[f1105]) ).
fof(f1107,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| ron(X8,sK9(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,[],[f1106]) ).
fof(f1108,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X8,sK9(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| 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,[],[f1107]) ).
fof(f1109,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| ron(X3,sK9(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,[],[f636]) ).
fof(f1110,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X3,sK9(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,[],[f1109]) ).
fof(f1111,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X9,sK9(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,[],[f1110]) ).
fof(f1112,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| ron(X9,sK9(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,[],[f1111]) ).
fof(f1113,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| ron(X9,sK9(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,[],[f1112]) ).
fof(f1114,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X9,sK9(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| 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,[],[f1113]) ).
fof(f1115,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| rline(sK9(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,[],[f635]) ).
fof(f1116,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| rline(sK9(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,[],[f1115]) ).
fof(f1117,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| rline(sK9(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,[],[f1116]) ).
fof(f1118,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| rline(sK9(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,[],[f1117]) ).
fof(f1119,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| rline(sK9(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,[],[f1118]) ).
fof(f1120,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| rline(sK9(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| 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,[],[f1119]) ).
fof(f2759,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f837]) ).
fof(f2760,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f2759]) ).
fof(f3355,definition,
sF95 = vf(sK5,sK4),
introduced(definition,[new_symbols(definition,[sF95])],[function_definition]) ).
fof(f3356,plain,
vf(sK5,sK4) = sF95,
inference(reorient_equations,[],[f3355]) ).
fof(f3357,definition,
sF96 = vf(sK2,sK1),
introduced(definition,[new_symbols(definition,[sF96])],[function_definition]) ).
fof(f3358,plain,
vf(sK2,sK1) = sF96,
inference(reorient_equations,[],[f3357]) ).
fof(f3359,plain,
sF95 != sF96,
inference(definition_folding,[],[f1032,f3358,f3356]) ).
fof(f3557,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK4,X0) = vf(X0,sK4) ),
inference(resolution,[],[f612,f2760]) ).
fof(f3606,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f1114,f1034]) ).
fof(f3611,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3606,f621]) ).
fof(f3613,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3611,f619]) ).
fof(f3615,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3613,f617]) ).
fof(f3617,plain,
! [X2,X0,X1] :
( vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3615,f3358]) ).
fof(f3619,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3617,f1035]) ).
fof(f3621,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK3,sK9(sK3,sK2,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3619,f1036]) ).
fof(f3627,definition,
( spl97_20
<=> ron(sK3,sK9(sK3,sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl97_20])],[avatar_definition]) ).
fof(f3629,plain,
( ron(sK3,sK9(sK3,sK2,sK1))
| ~ spl97_20 ),
inference(avatar_component_clause,[],[f3627]) ).
fof(f3631,definition,
( spl97_21
<=> ! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X0,X2) = sF96
| vf(X1,X2) != vf(sK6,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl97_21])],[avatar_definition]) ).
fof(f3632,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK6,sK5)
| vf(X0,X2) = sF96
| vf(X1,X2) != vf(sK6,sK4) )
| ~ spl97_21 ),
inference(avatar_component_clause,[],[f3631]) ).
fof(f3633,plain,
( spl97_20
| spl97_21 ),
inference(avatar_split_clause,[],[f3621,f3631,f3627]) ).
fof(f3679,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f1102,f1034]) ).
fof(f3683,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3679,f621]) ).
fof(f3684,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3683,f619]) ).
fof(f3685,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3684,f617]) ).
fof(f3702,plain,
! [X2,X0,X1] :
( vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3685,f3358]) ).
fof(f3704,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3702,f1035]) ).
fof(f3706,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK1,sK9(sK3,sK2,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3704,f1036]) ).
fof(f3709,definition,
( spl97_24
<=> ron(sK1,sK9(sK3,sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl97_24])],[avatar_definition]) ).
fof(f3711,plain,
( ron(sK1,sK9(sK3,sK2,sK1))
| ~ spl97_24 ),
inference(avatar_component_clause,[],[f3709]) ).
fof(f3712,plain,
( spl97_24
| spl97_21 ),
inference(avatar_split_clause,[],[f3706,f3631,f3709]) ).
fof(f3719,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| sK5 = sK6
| sK4 = sK6
| sK4 = sK5
| vf(sK6,sK5) != vf(sK6,sK5)
| vf(sK5,sK4) = sF96
| vf(sK6,sK4) != vf(sK6,sK4)
| ~ spl97_21 ),
inference(equality_resolution,[],[f3632]) ).
fof(f3720,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| sK5 = sK6
| sK4 = sK6
| sK4 = sK5
| vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(trivial_inequality_removal,[],[f3719]) ).
fof(f3722,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK4)
| sK5 = sK6
| sK4 = sK6
| sK4 = sK5
| vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3720,f608]) ).
fof(f3723,plain,
( ~ rpoint(sK4)
| sK5 = sK6
| sK4 = sK6
| sK4 = sK5
| vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3722,f610]) ).
fof(f3724,plain,
( sK5 = sK6
| sK4 = sK6
| sK4 = sK5
| vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3723,f612]) ).
fof(f3725,plain,
( sK4 = sK6
| sK4 = sK5
| vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3724,f1039]) ).
fof(f3726,plain,
( sK4 = sK5
| vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3725,f1038]) ).
fof(f3727,plain,
( vf(sK5,sK4) = sF96
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3726,f1037]) ).
fof(f3728,plain,
( sF95 = sF96
| ~ spl97_21 ),
inference(forward_demodulation,[],[f3727,f3356]) ).
fof(f3729,plain,
( $false
| ~ spl97_21 ),
inference(forward_subsumption_resolution,[],[f3728,f3359]) ).
fof(f3730,plain,
~ spl97_21,
inference(avatar_contradiction_clause,[],[f3729]) ).
fof(f3731,plain,
( ~ ron(sK2,sK9(sK3,sK2,sK1))
| ~ ron(sK1,sK9(sK3,sK2,sK1))
| ~ rline(sK9(sK3,sK2,sK1))
| ~ spl97_20 ),
inference(resolution,[],[f3629,f1033]) ).
fof(f3732,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f1108,f1034]) ).
fof(f3737,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3732,f621]) ).
fof(f3739,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3737,f619]) ).
fof(f3741,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3739,f617]) ).
fof(f3743,plain,
! [X2,X0,X1] :
( vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3741,f3358]) ).
fof(f3745,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3743,f1035]) ).
fof(f3747,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| ron(sK2,sK9(sK3,sK2,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f3745,f1036]) ).
fof(f3750,definition,
( spl97_25
<=> ron(sK2,sK9(sK3,sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl97_25])],[avatar_definition]) ).
fof(f3752,plain,
( ron(sK2,sK9(sK3,sK2,sK1))
| ~ spl97_25 ),
inference(avatar_component_clause,[],[f3750]) ).
fof(f3753,plain,
( spl97_25
| spl97_21 ),
inference(avatar_split_clause,[],[f3747,f3631,f3750]) ).
fof(f3761,plain,
vf(sK6,sK4) = vf(sK4,sK6),
inference(resolution,[],[f3557,f608]) ).
fof(f3764,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| rline(sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f1120,f1034]) ).
fof(f3801,plain,
( ~ ron(sK1,sK9(sK3,sK2,sK1))
| ~ rline(sK9(sK3,sK2,sK1))
| ~ spl97_20
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3731,f3752]) ).
fof(f3802,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| rline(sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3764,f621]) ).
fof(f3804,plain,
( ~ rline(sK9(sK3,sK2,sK1))
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3801,f3711]) ).
fof(f3805,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| rline(sK9(sK3,sK2,sK1))
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f3802,f619]) ).
fof(f3807,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| ~ rpoint(sK3)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3805,f3804]) ).
fof(f3809,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X0,X2) = vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3807,f617]) ).
fof(f3811,plain,
( ! [X2,X0,X1] :
( vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X1,X2) != vf(sK3,sK1)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_demodulation,[],[f3809,f3358]) ).
fof(f3812,plain,
( ! [X2,X0,X1] :
( vf(X1,X2) != vf(sK6,sK4)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_demodulation,[],[f3811,f1035]) ).
fof(f3813,plain,
( ! [X2,X0,X1] :
( vf(X1,X2) != vf(sK4,sK6)
| vf(X0,X2) = sF96
| vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X1,X0) != vf(sK3,sK2)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_demodulation,[],[f3812,f3761]) ).
fof(f3814,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK5,sK6,sK4)
| vf(X1,X2) != vf(sK4,sK6)
| vf(X0,X2) = sF96
| vf(X1,X0) != vf(sK6,sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_demodulation,[],[f3813,f1036]) ).
fof(f3816,plain,
( vf(sK6,sK4) != vf(sK4,sK6)
| vf(sK5,sK4) = sF96
| vf(sK6,sK5) != vf(sK6,sK5)
| sK4 = sK5
| sK4 = sK6
| sK5 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(equality_resolution,[],[f3814]) ).
fof(f3817,plain,
( vf(sK6,sK4) != vf(sK4,sK6)
| vf(sK5,sK4) = sF96
| sK4 = sK5
| sK4 = sK6
| sK5 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(trivial_inequality_removal,[],[f3816]) ).
fof(f3819,plain,
( vf(sK5,sK4) = sF96
| sK4 = sK5
| sK4 = sK6
| sK5 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3817,f2760]) ).
fof(f3820,plain,
( vf(sK5,sK4) = sF96
| sK4 = sK6
| sK5 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3819,f1037]) ).
fof(f3821,plain,
( vf(sK5,sK4) = sF96
| sK5 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3820,f1038]) ).
fof(f3822,plain,
( vf(sK5,sK4) = sF96
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3821,f1039]) ).
fof(f3823,plain,
( vf(sK5,sK4) = sF96
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3822,f612]) ).
fof(f3824,plain,
( vf(sK5,sK4) = sF96
| ~ rpoint(sK6)
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3823,f610]) ).
fof(f3825,plain,
( vf(sK5,sK4) = sF96
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3824,f608]) ).
fof(f3826,plain,
( sF95 = sF96
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_demodulation,[],[f3825,f3356]) ).
fof(f3827,plain,
( $false
| ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(forward_subsumption_resolution,[],[f3826,f3359]) ).
fof(f3828,plain,
( ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(avatar_contradiction_clause,[],[f3827]) ).
cnf(s18,plain,
( spl97_20
| spl97_21 ),
inference(sat_conversion,[],[f3633]) ).
cnf(s25,plain,
( spl97_21
| spl97_24 ),
inference(sat_conversion,[],[f3712]) ).
cnf(s26,plain,
~ spl97_21,
inference(sat_conversion,[],[f3730]) ).
cnf(s27,plain,
( spl97_21
| spl97_25 ),
inference(sat_conversion,[],[f3753]) ).
cnf(s29,plain,
( ~ spl97_20
| ~ spl97_24
| ~ spl97_25 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s30,plain,
spl97_25,
inference(rat,[],[s27,s26]) ).
cnf(s31,plain,
spl97_24,
inference(rat,[],[s25,s26]) ).
cnf(s32,plain,
~ spl97_20,
inference(rat,[],[s29,s30,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s18,s26,s32]) ).
fof(f3829,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO287+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 07:54:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 9.26/2.16 % (2224323)Detected formulas, will run a generic FOF schedule.
% 9.26/2.16 % (2224330)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=1383794086:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.26/2.16 % (2224334)dis-21_1_sil=8000:lcm=predicate:random_seed=3291888485: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)
% 9.26/2.16 % (2224332)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=864961871:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.26/2.16 % (2224333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1945875680:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.26/2.16 % (2224328)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=3178492682:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.26/2.16 % (2224329)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=1481836824:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.26/2.16 % (2224331)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4253316633:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.26/2.16 % (2224331)Refutation not found, incomplete strategy
% 9.26/2.16 % (2224331)------------------------------
% 9.26/2.16 % (2224331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224331)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224331)Termination reason: Refutation not found, incomplete strategy
% 9.26/2.16 % (2224331)Time elapsed: 0.002 s
% 9.26/2.16 % (2224331)Peak memory usage: 88 MB
% 9.26/2.16 % (2224331)Instructions burned: 1 (million)
% 9.26/2.16 % (2224332)Refutation not found, incomplete strategy
% 9.26/2.16 % (2224332)------------------------------
% 9.26/2.16 % (2224332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224332)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224332)Termination reason: Refutation not found, incomplete strategy
% 9.26/2.16 % (2224332)Time elapsed: 0.003 s
% 9.26/2.16 % (2224332)Peak memory usage: 88 MB
% 9.26/2.16 % (2224332)Instructions burned: 3 (million)
% 9.26/2.16 % (2224334)Instruction limit reached!
% 9.26/2.16 % (2224334)------------------------------
% 9.26/2.16 % (2224334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224334)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224334)Termination reason: Instruction limit
% 9.26/2.16 % (2224334)Termination phase: Saturation
% 9.26/2.16 % (2224334)Time elapsed: 0.057 s
% 9.26/2.16 % (2224334)Peak memory usage: 90 MB
% 9.26/2.16 % (2224334)Instructions burned: 129 (million)
% 9.26/2.16 % (2224333)Instruction limit reached!
% 9.26/2.16 % (2224333)------------------------------
% 9.26/2.16 % (2224333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224333)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224333)Termination reason: Instruction limit
% 9.26/2.16 % (2224333)Termination phase: Saturation
% 9.26/2.16 % (2224333)Time elapsed: 0.066 s
% 9.26/2.16 % (2224333)Peak memory usage: 90 MB
% 9.26/2.16 % (2224333)Instructions burned: 139 (million)
% 9.26/2.16 % (2224342)lrs+10_1_sil=8000:sp=occurrence:random_seed=3139538991:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.26/2.16 % (2224343)lrs+10_1_sil=32000:urr=on:br=off:random_seed=592717774:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.26/2.16 % (2224343)Refutation not found, incomplete strategy
% 9.26/2.16 % (2224343)------------------------------
% 9.26/2.16 % (2224343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224343)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224343)Termination reason: Refutation not found, incomplete strategy
% 9.26/2.16 % (2224343)Time elapsed: 0.006 s
% 9.26/2.16 % (2224343)Peak memory usage: 89 MB
% 9.26/2.16 % (2224343)Instructions burned: 9 (million)
% 9.26/2.16 % (2224331)------------------------------
% 9.26/2.16 % (2224331)------------------------------
% 9.26/2.16 % (2224332)------------------------------
% 9.26/2.16 % (2224332)------------------------------
% 9.26/2.16 % (2224342)Instruction limit reached!
% 9.26/2.16 % (2224342)------------------------------
% 9.26/2.16 % (2224342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224342)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224342)Termination reason: Instruction limit
% 9.26/2.16 % (2224342)Termination phase: Saturation
% 9.26/2.16 % (2224342)Time elapsed: 0.154 s
% 9.26/2.16 % (2224342)Peak memory usage: 92 MB
% 9.26/2.16 % (2224342)Instructions burned: 286 (million)
% 9.26/2.16 % (2224346)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2775718056:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.26/2.16 % (2224347)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=2243182450:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.26/2.16 % (2224346)Refutation not found, incomplete strategy
% 9.26/2.16 % (2224346)------------------------------
% 9.26/2.16 % (2224346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224346)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224346)Termination reason: Refutation not found, incomplete strategy
% 9.26/2.16 % (2224346)Time elapsed: 0.005 s
% 9.26/2.16 % (2224346)Peak memory usage: 89 MB
% 9.26/2.16 % (2224346)Instructions burned: 5 (million)
% 9.26/2.16 % (2224343)------------------------------
% 9.26/2.16 % (2224343)------------------------------
% 9.26/2.16 % (2224348)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=495777974:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.26/2.16 % (2224347)Instruction limit reached!
% 9.26/2.16 % (2224347)------------------------------
% 9.26/2.16 % (2224347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224347)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224347)Termination reason: Instruction limit
% 9.26/2.16 % (2224347)Termination phase: Saturation
% 9.26/2.16 % (2224347)Time elapsed: 0.113 s
% 9.26/2.16 % (2224347)Peak memory usage: 93 MB
% 9.26/2.16 % (2224347)Instructions burned: 249 (million)
% 9.26/2.16 % (2224348)Refutation not found, incomplete strategy
% 9.26/2.16 % (2224348)------------------------------
% 9.26/2.16 % (2224348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.16 % (2224348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.16 % (2224348)CaDiCaL version: 2.1.3
% 9.26/2.16 % (2224348)Termination reason: Refutation not found, incomplete strategy
% 9.26/2.16 % (2224348)Time elapsed: 0.034 s
% 9.26/2.16 % (2224348)Peak memory usage: 90 MB
% 9.26/2.16 % (2224348)Instructions burned: 78 (million)
% 9.26/2.16 % (2224351)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2177683169:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 9.26/2.17 % (2224346)------------------------------
% 9.26/2.17 % (2224346)------------------------------
% 9.26/2.17 % (2224353)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2305485053:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.26/2.17 % (2224353)Instruction limit reached!
% 9.26/2.17 % (2224353)------------------------------
% 9.26/2.17 % (2224353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.17 % (2224353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.17 % (2224353)CaDiCaL version: 2.1.3
% 9.26/2.17 % (2224353)Termination reason: Instruction limit
% 9.26/2.17 % (2224353)Termination phase: Saturation
% 9.26/2.17 % (2224353)Time elapsed: 0.054 s
% 9.26/2.17 % (2224353)Peak memory usage: 90 MB
% 9.26/2.17 % (2224353)Instructions burned: 113 (million)
% 9.26/2.17 % (2224348)------------------------------
% 9.26/2.17 % (2224348)------------------------------
% 9.26/2.17 % (2224355)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2718539097:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 9.26/2.17 % (2224328)First to succeed.
% 9.26/2.17 % (2224328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2224323"
% 9.26/2.17 % (2224355)Instruction limit reached!
% 9.26/2.17 % (2224355)------------------------------
% 9.26/2.17 % (2224355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.17 % (2224355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.17 % (2224355)CaDiCaL version: 2.1.3
% 9.26/2.17 % (2224355)Termination reason: Instruction limit
% 9.26/2.17 % (2224355)Termination phase: Blocked clause elimination
% 9.26/2.17 % (2224355)Time elapsed: 0.055 s
% 9.26/2.17 % (2224355)Peak memory usage: 88 MB
% 9.26/2.17 % (2224355)Instructions burned: 129 (million)
% 9.26/2.17 % (2224357)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4024880006:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.26/2.17 % (2224358)lrs+10_1_sil=8000:sp=occurrence:random_seed=3664763590:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.26/2.17 % (2224357)Instruction limit reached!
% 9.26/2.17 % (2224357)------------------------------
% 9.26/2.17 % (2224357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/2.17 % (2224357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/2.17 % (2224357)CaDiCaL version: 2.1.3
% 9.26/2.17 % (2224357)Termination reason: Instruction limit
% 9.26/2.17 % (2224357)Termination phase: Saturation
% 9.26/2.17 % (2224357)Time elapsed: 0.047 s
% 9.26/2.17 % (2224357)Peak memory usage: 89 MB
% 9.26/2.17 % (2224357)Instructions burned: 116 (million)
% 9.26/2.17 % (2224360)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4042772753:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.26/2.17 % (2224328)Refutation found. Thanks to Tanya!
% 9.26/2.17 % SZS status Theorem for theBenchmark
% 9.26/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.75/2.36 % (2224328)------------------------------
% 9.75/2.36 % (2224328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.75/2.36 % (2224328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/2.36 % (2224328)CaDiCaL version: 2.1.3
% 9.75/2.36 % (2224328)Termination reason: Refutation
% 9.75/2.36 % (2224328)Time elapsed: 0.856 s
% 9.75/2.36 % (2224328)Peak memory usage: 145 MB
% 9.75/2.36 % (2224328)Instructions burned: 1368 (million)
% 9.75/2.36 % (2224328)------------------------------
% 9.75/2.36 % (2224328)------------------------------
% 9.75/2.36 % (2224323)Success in time 1.314 s
% 9.75/2.36 % Vampire exiting
%------------------------------------------------------------------------------