%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO288+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 09:54:22 AM UTC 2026
% Result : Theorem 6.71s 1.54s
% Output : Refutation 6.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 123 ( 37 unt; 5 def)
% Number of atoms : 1029 ( 567 equ)
% Maximal formula atoms : 23 ( 8 avg)
% Number of connectives : 1531 ( 625 ~; 834 |; 66 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 12 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 385 ( 0 sgn 363 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1156,vd1157,vd1158) = vangle(vd1163,vd1164,vd1165),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(266)), 1176, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1156,vd1157,vd1158) != vangle(vd1163,vd1164,vd1165),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,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/sandbox2/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,X4,X5) = vangle(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 1)') ).
fof(f158,plain,
vangle(vd1156,vd1157,vd1158) != vangle(vd1163,vd1164,vd1165),
inference(flattening,[],[f2]) ).
fof(f163,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,[],[f4]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X0,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(f167,plain,
! [X0,X1,X2,X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X0,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,[],[f166]) ).
fof(f454,plain,
vangle(vd1156,vd1157,vd1158) != vangle(vd1163,vd1164,vd1165),
inference(cnf_transformation,[],[f158]) ).
fof(f456,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1165,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f457,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f163]) ).
fof(f458,plain,
vd1165 = sK5,
inference(cnf_transformation,[],[f163]) ).
fof(f459,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f163]) ).
fof(f460,plain,
vd1164 = sK4,
inference(cnf_transformation,[],[f163]) ).
fof(f461,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f163]) ).
fof(f462,plain,
vd1163 = sK3,
inference(cnf_transformation,[],[f163]) ).
fof(f463,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f163]) ).
fof(f464,plain,
vd1158 = sK2,
inference(cnf_transformation,[],[f163]) ).
fof(f465,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f163]) ).
fof(f466,plain,
vd1157 = sK1,
inference(cnf_transformation,[],[f163]) ).
fof(f467,plain,
rpoint(sK0),
inference(cnf_transformation,[],[f163]) ).
fof(f468,plain,
vd1156 = sK0,
inference(cnf_transformation,[],[f163]) ).
fof(f469,plain,
vd1156 != vd1157,
inference(cnf_transformation,[],[f163]) ).
fof(f470,plain,
vd1156 != vd1158,
inference(cnf_transformation,[],[f163]) ).
fof(f471,plain,
vd1157 != vd1158,
inference(cnf_transformation,[],[f163]) ).
fof(f472,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[],[f163]) ).
fof(f473,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[],[f163]) ).
fof(f474,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[],[f163]) ).
fof(f479,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| rline(sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f480,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X3,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f481,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X4,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f482,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| X0 != X12
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X5,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f167]) ).
fof(f882,plain,
vangle(sK0,sK1,sK2) != vangle(sK3,sK4,sK5),
inference(definition_unfolding,[],[f454,f468,f466,f464,f462,f460,f458]) ).
fof(f884,plain,
vangle(sK1,sK0,sK2) = vangle(sK4,sK3,sK5),
inference(definition_unfolding,[],[f474,f466,f468,f464,f460,f462,f458]) ).
fof(f885,plain,
vf(sK0,sK2) = vf(sK3,sK5),
inference(definition_unfolding,[],[f473,f468,f464,f462,f458]) ).
fof(f886,plain,
vf(sK0,sK1) = vf(sK3,sK4),
inference(definition_unfolding,[],[f472,f468,f466,f462,f460]) ).
fof(f887,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f471,f466,f464]) ).
fof(f888,plain,
sK0 != sK2,
inference(definition_unfolding,[],[f470,f468,f464]) ).
fof(f889,plain,
sK0 != sK1,
inference(definition_unfolding,[],[f469,f468,f466]) ).
fof(f890,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK4,X0)
| ~ ron(sK5,X0) ),
inference(definition_unfolding,[],[f456,f462,f460,f458]) ).
fof(f924,plain,
! [X2,X3,X10,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X1 = X12
| X2 = X12
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X1)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X1,X12,X2)
| ron(X5,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X1,X2) ),
inference(equality_resolution,[],[f482]) ).
fof(f925,plain,
! [X2,X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X2 != X10
| X11 = X12
| X2 = X12
| X2 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X11,X12,X2)
| ron(X5,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X2) ),
inference(equality_resolution,[],[f924]) ).
fof(f926,plain,
! [X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X10)
| vangle(X4,X3,X5) != vangle(X11,X12,X10)
| ron(X5,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f925]) ).
fof(f927,plain,
! [X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X4)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X4,X9,X5)
| ron(X5,sK7(X9,X4,X5))
| vangle(X12,X11,X10) = vangle(X9,X4,X5) ),
inference(equality_resolution,[],[f926]) ).
fof(f928,plain,
! [X10,X11,X8,X9,X7,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X8,X9,X5)
| ron(X5,sK7(X9,X8,X5))
| vangle(X12,X11,X10) = vangle(X9,X8,X5) ),
inference(equality_resolution,[],[f927]) ).
fof(f929,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X11,X12,X10) != vangle(X8,X9,X7)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X7)
| ~ rpoint(X12)
| ron(X7,sK7(X9,X8,X7))
| vangle(X12,X11,X10) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f928]) ).
fof(f930,plain,
! [X2,X3,X10,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X1 = X12
| X2 = X12
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X1)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X1,X12,X2)
| ron(X4,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X1,X2) ),
inference(equality_resolution,[],[f481]) ).
fof(f931,plain,
! [X2,X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X2 != X10
| X11 = X12
| X2 = X12
| X2 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X11,X12,X2)
| ron(X4,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X2) ),
inference(equality_resolution,[],[f930]) ).
fof(f932,plain,
! [X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X10)
| vangle(X4,X3,X5) != vangle(X11,X12,X10)
| ron(X4,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f931]) ).
fof(f933,plain,
! [X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X4)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X4,X9,X5)
| ron(X4,sK7(X9,X4,X5))
| vangle(X12,X11,X10) = vangle(X9,X4,X5) ),
inference(equality_resolution,[],[f932]) ).
fof(f934,plain,
! [X10,X11,X8,X9,X7,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X8,X9,X5)
| ron(X8,sK7(X9,X8,X5))
| vangle(X12,X11,X10) = vangle(X9,X8,X5) ),
inference(equality_resolution,[],[f933]) ).
fof(f935,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X11,X12,X10) != vangle(X8,X9,X7)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X7)
| ~ rpoint(X12)
| ron(X8,sK7(X9,X8,X7))
| vangle(X12,X11,X10) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f934]) ).
fof(f936,plain,
! [X2,X3,X10,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X1 = X12
| X2 = X12
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X1)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X1,X12,X2)
| ron(X3,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X1,X2) ),
inference(equality_resolution,[],[f480]) ).
fof(f937,plain,
! [X2,X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X2 != X10
| X11 = X12
| X2 = X12
| X2 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X11,X12,X2)
| ron(X3,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X2) ),
inference(equality_resolution,[],[f936]) ).
fof(f938,plain,
! [X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X10)
| vangle(X4,X3,X5) != vangle(X11,X12,X10)
| ron(X3,sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f937]) ).
fof(f939,plain,
! [X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X4)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X4,X9,X5)
| ron(X9,sK7(X9,X4,X5))
| vangle(X12,X11,X10) = vangle(X9,X4,X5) ),
inference(equality_resolution,[],[f938]) ).
fof(f940,plain,
! [X10,X11,X8,X9,X7,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X8,X9,X5)
| ron(X9,sK7(X9,X8,X5))
| vangle(X12,X11,X10) = vangle(X9,X8,X5) ),
inference(equality_resolution,[],[f939]) ).
fof(f941,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X11,X12,X10) != vangle(X8,X9,X7)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X7)
| ~ rpoint(X12)
| ron(X9,sK7(X9,X8,X7))
| vangle(X12,X11,X10) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f940]) ).
fof(f942,plain,
! [X2,X3,X10,X11,X1,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X2 != X10
| X1 = X12
| X2 = X12
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X1)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X1,X12,X2)
| rline(sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X1,X2) ),
inference(equality_resolution,[],[f479]) ).
fof(f943,plain,
! [X2,X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X2 != X10
| X11 = X12
| X2 = X12
| X2 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X2)
| vangle(X4,X3,X5) != vangle(X11,X12,X2)
| rline(sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X2) ),
inference(equality_resolution,[],[f942]) ).
fof(f944,plain,
! [X3,X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X3,X4) != vf(X12,X11)
| vf(X3,X5) != vf(X12,X10)
| vangle(X4,X3,X5) != vangle(X11,X12,X10)
| rline(sK7(X3,X4,X5))
| vangle(X3,X4,X5) = vangle(X12,X11,X10) ),
inference(equality_resolution,[],[f943]) ).
fof(f945,plain,
! [X10,X11,X8,X9,X7,X4,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| X4 != X8
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X4)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X4,X9,X5)
| rline(sK7(X9,X4,X5))
| vangle(X12,X11,X10) = vangle(X9,X4,X5) ),
inference(equality_resolution,[],[f944]) ).
fof(f946,plain,
! [X10,X11,X8,X9,X7,X5,X12] :
( ~ rpoint(X12)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| X5 != X7
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X5)
| vangle(X11,X12,X10) != vangle(X8,X9,X5)
| rline(sK7(X9,X8,X5))
| vangle(X12,X11,X10) = vangle(X9,X8,X5) ),
inference(equality_resolution,[],[f945]) ).
fof(f947,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X11,X12,X10) != vangle(X8,X9,X7)
| ~ rpoint(X11)
| ~ rpoint(X10)
| X11 = X12
| X10 = X12
| X10 = X11
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| vf(X12,X11) != vf(X9,X8)
| vf(X12,X10) != vf(X9,X7)
| ~ rpoint(X12)
| rline(sK7(X9,X8,X7))
| vangle(X12,X11,X10) = vangle(X9,X8,X7) ),
inference(equality_resolution,[],[f946]) ).
fof(f5014,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| rline(sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(superposition,[],[f947,f884]) ).
fof(f5017,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| rline(sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5014,f461]) ).
fof(f5019,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| rline(sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5017,f459]) ).
fof(f5021,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| rline(sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5019,f457]) ).
fof(f5023,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| rline(sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5021,f886]) ).
fof(f5025,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK0,sK2)
| vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(X1)
| rline(sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5023,f885]) ).
fof(f5028,definition,
( spl94_36
<=> rline(sK7(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl94_36])],[avatar_definition]) ).
fof(f5030,plain,
( rline(sK7(sK3,sK4,sK5))
| ~ spl94_36 ),
inference(avatar_component_clause,[],[f5028]) ).
fof(f5032,definition,
( spl94_37
<=> ! [X2,X0,X1] :
( vf(X1,X2) != vf(sK0,sK2)
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5)
| ~ rpoint(X1)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| vf(X1,X0) != vf(sK0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl94_37])],[avatar_definition]) ).
fof(f5033,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5)
| ~ rpoint(X1)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| vf(X1,X2) != vf(sK0,sK2)
| vf(X1,X0) != vf(sK0,sK1) )
| ~ spl94_37 ),
inference(avatar_component_clause,[],[f5032]) ).
fof(f5034,plain,
( spl94_36
| spl94_37 ),
inference(avatar_split_clause,[],[f5025,f5032,f5028]) ).
fof(f5399,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK5,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(superposition,[],[f929,f884]) ).
fof(f5402,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK5,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5399,f461]) ).
fof(f5404,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK5,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5402,f459]) ).
fof(f5406,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK5,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5404,f457]) ).
fof(f5408,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK5,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5406,f886]) ).
fof(f5410,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK0,sK2)
| vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(X1)
| ron(sK5,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5408,f885]) ).
fof(f5413,definition,
( spl94_59
<=> ron(sK5,sK7(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl94_59])],[avatar_definition]) ).
fof(f5416,plain,
( spl94_59
| spl94_37 ),
inference(avatar_split_clause,[],[f5410,f5032,f5413]) ).
fof(f5422,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK4,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(superposition,[],[f935,f884]) ).
fof(f5425,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK4,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5422,f461]) ).
fof(f5427,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK4,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5425,f459]) ).
fof(f5429,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK4,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5427,f457]) ).
fof(f5431,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK4,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5429,f886]) ).
fof(f5433,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK0,sK2)
| vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(X1)
| ron(sK4,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5431,f885]) ).
fof(f5436,definition,
( spl94_61
<=> ron(sK4,sK7(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl94_61])],[avatar_definition]) ).
fof(f5439,plain,
( spl94_61
| spl94_37 ),
inference(avatar_split_clause,[],[f5433,f5032,f5436]) ).
fof(f5446,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK3)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK3,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(superposition,[],[f941,f884]) ).
fof(f5449,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK3,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5446,f461]) ).
fof(f5451,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(sK5)
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK3,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5449,f459]) ).
fof(f5453,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK3,sK4)
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK3,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f5451,f457]) ).
fof(f5455,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X2) != vf(sK3,sK5)
| ~ rpoint(X1)
| ron(sK3,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5453,f886]) ).
fof(f5457,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK0,sK2)
| vf(X1,X0) != vf(sK0,sK1)
| vangle(X0,X1,X2) != vangle(sK1,sK0,sK2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(X1)
| ron(sK3,sK7(sK3,sK4,sK5))
| vangle(X1,X0,X2) = vangle(sK3,sK4,sK5) ),
inference(forward_demodulation,[],[f5455,f885]) ).
fof(f5460,definition,
( spl94_63
<=> ron(sK3,sK7(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl94_63])],[avatar_definition]) ).
fof(f5463,plain,
( spl94_63
| spl94_37 ),
inference(avatar_split_clause,[],[f5457,f5032,f5460]) ).
fof(f6714,plain,
( ~ ron(sK3,sK7(sK3,sK4,sK5))
| ~ ron(sK4,sK7(sK3,sK4,sK5))
| ~ ron(sK5,sK7(sK3,sK4,sK5))
| ~ spl94_36 ),
inference(resolution,[],[f5030,f890]) ).
fof(f6811,plain,
( ~ spl94_59
| ~ spl94_61
| ~ spl94_63
| ~ spl94_36 ),
inference(avatar_split_clause,[],[f6714,f5028,f5460,f5436,f5413]) ).
fof(f32950,plain,
( vangle(sK0,sK1,sK2) = vangle(sK3,sK4,sK5)
| ~ rpoint(sK0)
| sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| vf(sK0,sK2) != vf(sK0,sK2)
| vf(sK0,sK1) != vf(sK0,sK1)
| ~ spl94_37 ),
inference(equality_resolution,[],[f5033]) ).
fof(f32951,plain,
( vangle(sK0,sK1,sK2) = vangle(sK3,sK4,sK5)
| ~ rpoint(sK0)
| sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl94_37 ),
inference(trivial_inequality_removal,[],[f32950]) ).
fof(f32952,plain,
( ~ rpoint(sK0)
| sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32951,f882]) ).
fof(f32953,plain,
( sK1 = sK2
| sK0 = sK2
| sK0 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32952,f467]) ).
fof(f32954,plain,
( sK0 = sK2
| sK0 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32953,f887]) ).
fof(f32955,plain,
( sK0 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32954,f888]) ).
fof(f32956,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32955,f889]) ).
fof(f32957,plain,
( ~ rpoint(sK1)
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32956,f463]) ).
fof(f32958,plain,
( $false
| ~ spl94_37 ),
inference(forward_subsumption_resolution,[],[f32957,f465]) ).
fof(f32959,plain,
~ spl94_37,
inference(avatar_contradiction_clause,[],[f32958]) ).
cnf(s34,plain,
( spl94_36
| spl94_37 ),
inference(sat_conversion,[],[f5034]) ).
cnf(s85,plain,
( spl94_37
| spl94_59 ),
inference(sat_conversion,[],[f5416]) ).
cnf(s87,plain,
( spl94_37
| spl94_61 ),
inference(sat_conversion,[],[f5439]) ).
cnf(s89,plain,
( spl94_37
| spl94_63 ),
inference(sat_conversion,[],[f5463]) ).
cnf(s261,plain,
( ~ spl94_36
| ~ spl94_59
| ~ spl94_61
| ~ spl94_63 ),
inference(sat_conversion,[],[f6811]) ).
cnf(s1289,plain,
~ spl94_37,
inference(sat_conversion,[],[f32959]) ).
cnf(s1290,plain,
spl94_63,
inference(rat,[],[s89,s1289]) ).
cnf(s1291,plain,
spl94_61,
inference(rat,[],[s87,s1289]) ).
cnf(s1292,plain,
spl94_59,
inference(rat,[],[s85,s1289]) ).
cnf(s1293,plain,
~ spl94_36,
inference(rat,[],[s261,s1290,s1291,s1292]) ).
cnf(s1349,plain,
$false,
inference(rat,[],[s34,s1289,s1293]) ).
fof(f32960,plain,
$false,
inference(avatar_sat_refutation,[],[s1349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO288+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 07:59:40 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.07/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.51/0.88 % (2049591)Will run a generic schedule for satisfiability detection.
% 2.51/0.88 % (2049609)% WARNING: option uhcvi not known.
% 2.51/0.88 % (2049608)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=773914754_2999 on theBenchmark for (2999ds/0Mi)
% 2.51/0.88 % (2049610)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=663815426:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.51/0.88 % (2049611)dis+10_1_sil=32000:sp=arity:random_seed=2206826268:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.51/0.88 % (2049609)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3766335287:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.51/0.88 % (2049613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1382407160:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.51/0.88 % (2049614)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=778657161:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.51/0.88 % (2049612)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2386291028:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.51/0.88 % (2049611)Instruction limit reached!
% 2.51/0.88 % (2049611)------------------------------
% 2.51/0.88 % (2049611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.88 % (2049611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.88 % (2049611)CaDiCaL version: 2.1.3
% 2.51/0.88 % (2049611)Termination reason: Instruction limit
% 2.51/0.88 % (2049611)Termination phase: Saturation
% 2.51/0.88 % (2049611)Time elapsed: 0.023 s
% 2.51/0.88 % (2049611)Peak memory usage: 13 MB
% 2.51/0.88 % (2049611)Instructions burned: 104 (million)
% 2.51/0.88 % (2049613)Instruction limit reached!
% 2.51/0.88 % (2049613)------------------------------
% 2.51/0.88 % (2049613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.88 % (2049613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.88 % (2049613)CaDiCaL version: 2.1.3
% 2.51/0.88 % (2049613)Termination reason: Instruction limit
% 2.51/0.88 % (2049613)Termination phase: Saturation
% 2.51/0.88 % (2049613)Time elapsed: 0.032 s
% 2.51/0.88 % (2049613)Peak memory usage: 13 MB
% 2.51/0.88 % (2049613)Instructions burned: 131 (million)
% 2.51/0.88 % (2049612)Instruction limit reached!
% 2.51/0.88 % (2049612)------------------------------
% 2.51/0.88 % (2049612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.88 % (2049612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.88 % (2049612)CaDiCaL version: 2.1.3
% 2.51/0.88 % (2049612)Termination reason: Instruction limit
% 2.51/0.88 % (2049612)Termination phase: Property scanning
% 2.51/0.88 % (2049612)Time elapsed: 0.032 s
% 2.51/0.88 % (2049612)Peak memory usage: 13 MB
% 2.51/0.88 % (2049612)Instructions burned: 120 (million)
% 2.51/0.88 % (2049614)Instruction limit reached!
% 2.51/0.88 % (2049614)------------------------------
% 2.51/0.88 % (2049614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.88 % (2049614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.88 % (2049614)CaDiCaL version: 2.1.3
% 2.51/0.88 % (2049614)Termination reason: Instruction limit
% 2.51/0.88 % (2049614)Termination phase: Saturation
% 2.51/0.88 % (2049614)Time elapsed: 0.038 s
% 2.51/0.88 % (2049614)Peak memory usage: 14 MB
% 2.51/0.88 % (2049614)Instructions burned: 162 (million)
% 2.51/0.88 % (2049636)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=199815210:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.51/0.88 % (2049639)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3154637676:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.51/0.88 % (2049640)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3471164327:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.51/0.88 % (2049643)ott-21_1_sil=16000:fs=off:random_seed=2120397107:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/0.88 % (2049639)Instruction limit reached!
% 2.51/0.88 % (2049639)------------------------------
% 2.51/0.88 % (2049639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.88 % (2049639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.88 % (2049639)CaDiCaL version: 2.1.3
% 4.68/1.06 % (2049639)Termination reason: Instruction limit
% 4.68/1.06 % (2049639)Termination phase: Blocked clause elimination
% 4.68/1.06 % (2049639)Time elapsed: 0.031 s
% 4.68/1.06 % (2049639)Peak memory usage: 13 MB
% 4.68/1.06 % (2049639)Instructions burned: 135 (million)
% 4.68/1.06 % Detected minimum model sizes of [3]
% 4.68/1.06 % Detected maximum model sizes of [max]
% 4.68/1.06 % (2049636)Cannot represent all propositional literals internally
% 4.68/1.06 % (2049636)Refutation not found, incomplete strategy
% 4.68/1.06 % (2049636)------------------------------
% 4.68/1.06 % (2049636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.68/1.06 % (2049636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.06 % (2049636)CaDiCaL version: 2.1.3
% 4.68/1.06 % (2049636)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.06 % (2049636)Time elapsed: 0.048 s
% 4.68/1.06 % (2049636)Peak memory usage: 13 MB
% 4.68/1.06 % (2049636)Instructions burned: 201 (million)
% 4.68/1.06 % (2049655)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1397556842:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.68/1.06 % (2049636)------------------------------
% 4.68/1.06 % (2049636)------------------------------
% 4.68/1.06 % (2049661)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3152354564:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 4.68/1.06 % (2049643)Instruction limit reached!
% 4.68/1.06 % (2049643)------------------------------
% 4.68/1.06 % (2049643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.68/1.06 % (2049643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.06 % (2049643)CaDiCaL version: 2.1.3
% 4.68/1.06 % (2049643)Termination reason: Instruction limit
% 4.68/1.06 % (2049643)Termination phase: Saturation
% 4.68/1.06 % (2049643)Time elapsed: 0.051 s
% 4.68/1.06 % (2049643)Peak memory usage: 14 MB
% 4.68/1.06 % (2049643)Instructions burned: 183 (million)
% 4.68/1.06 % (2049665)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1076728546:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 4.68/1.06 % Detected minimum model sizes of [3]
% 4.68/1.06 % Detected maximum model sizes of [max]
% 4.68/1.06 % (2049608)Cannot represent all propositional literals internally
% 4.68/1.06 % (2049608)Refutation not found, incomplete strategy
% 4.68/1.06 % (2049608)------------------------------
% 4.68/1.06 % (2049608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.68/1.06 % (2049608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.06 % (2049608)CaDiCaL version: 2.1.3
% 4.68/1.06 % (2049608)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.06 % (2049608)Time elapsed: 0.159 s
% 4.68/1.06 % (2049608)Peak memory usage: 18 MB
% 4.68/1.06 % (2049608)Instructions burned: 682 (million)
% 4.68/1.06 % (2049608)------------------------------
% 4.68/1.06 % (2049608)------------------------------
% 4.68/1.06 % (2049671)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1073254732:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 4.68/1.06 % Detected minimum model sizes of [3]
% 4.68/1.06 % Detected maximum model sizes of [max]
% 4.68/1.06 % (2049661)Cannot represent all propositional literals internally
% 4.68/1.06 % (2049661)Refutation not found, incomplete strategy
% 4.68/1.06 % (2049661)------------------------------
% 4.68/1.06 % (2049661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.68/1.06 % (2049661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.06 % (2049661)CaDiCaL version: 2.1.3
% 4.68/1.06 % (2049661)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.06 % (2049661)Time elapsed: 0.136 s
% 4.68/1.06 % (2049661)Peak memory usage: 17 MB
% 4.68/1.06 % (2049661)Instructions burned: 602 (million)
% 4.68/1.06 % (2049640)Instruction limit reached!
% 4.68/1.06 % (2049640)------------------------------
% 4.68/1.06 % (2049640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.68/1.06 % (2049640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.06 % (2049640)CaDiCaL version: 2.1.3
% 4.68/1.06 % (2049640)Termination reason: Instruction limit
% 4.68/1.06 % (2049640)Termination phase: Saturation
% 4.68/1.06 % (2049640)Time elapsed: 0.191 s
% 4.68/1.06 % (2049640)Peak memory usage: 20 MB
% 4.68/1.06 % (2049640)Instructions burned: 685 (million)
% 4.68/1.06 % (2049661)------------------------------
% 4.68/1.06 % (2049661)------------------------------
% 4.68/1.06 % (2049673)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1867725824:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 6.71/1.54 % (2049674)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1395383926:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 6.71/1.54 % (2049655)Instruction limit reached!
% 6.71/1.54 % (2049655)------------------------------
% 6.71/1.54 % (2049655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049655)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049655)Termination reason: Instruction limit
% 6.71/1.54 % (2049655)Termination phase: Saturation
% 6.71/1.54 % (2049655)Time elapsed: 0.161 s
% 6.71/1.54 % (2049655)Peak memory usage: 16 MB
% 6.71/1.54 % (2049655)Instructions burned: 477 (million)
% 6.71/1.54 % (2049677)fmb+10_1_sil=64000:random_seed=4219272153:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 6.71/1.54 % (2049671)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049671)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049671)------------------------------
% 6.71/1.54 % (2049671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049671)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049671)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049671)Time elapsed: 0.134 s
% 6.71/1.54 % (2049671)Peak memory usage: 17 MB
% 6.71/1.54 % (2049671)Instructions burned: 601 (million)
% 6.71/1.54 % (2049671)------------------------------
% 6.71/1.54 % (2049671)------------------------------
% 6.71/1.54 % Detected minimum model sizes of [3]
% 6.71/1.54 % Detected maximum model sizes of [max]
% 6.71/1.54 % (2049677)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049677)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049677)------------------------------
% 6.71/1.54 % (2049677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049677)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049677)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049677)Time elapsed: 0.049 s
% 6.71/1.54 % (2049677)Peak memory usage: 14 MB
% 6.71/1.54 % (2049677)Instructions burned: 203 (million)
% 6.71/1.54 % (2049677)------------------------------
% 6.71/1.54 % (2049677)------------------------------
% 6.71/1.54 % (2049679)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=393995194:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 6.71/1.54 % (2049680)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1631483879:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 6.71/1.54 % (2049665)Instruction limit reached!
% 6.71/1.54 % (2049665)------------------------------
% 6.71/1.54 % (2049665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049665)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049665)Termination reason: Instruction limit
% 6.71/1.54 % (2049665)Termination phase: Saturation
% 6.71/1.54 % (2049665)Time elapsed: 0.327 s
% 6.71/1.54 % (2049665)Peak memory usage: 20 MB
% 6.71/1.54 % (2049665)Instructions burned: 1180 (million)
% 6.71/1.54 % (2049714)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1850917363:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 6.71/1.54 % (2049673)Instruction limit reached!
% 6.71/1.54 % (2049673)------------------------------
% 6.71/1.54 % (2049673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049673)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049673)Termination reason: Instruction limit
% 6.71/1.54 % (2049673)Termination phase: Saturation
% 6.71/1.54 % (2049673)Time elapsed: 0.260 s
% 6.71/1.54 % (2049673)Peak memory usage: 23 MB
% 6.71/1.54 % (2049673)Instructions burned: 693 (million)
% 6.71/1.54 % Detected minimum model sizes of [3]
% 6.71/1.54 % Detected maximum model sizes of [max]
% 6.71/1.54 % (2049680)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049680)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049680)------------------------------
% 6.71/1.54 % (2049680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049680)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049680)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049680)Time elapsed: 0.196 s
% 6.71/1.54 % (2049680)Peak memory usage: 17 MB
% 6.71/1.54 % (2049680)Instructions burned: 605 (million)
% 6.71/1.54 % (2049680)------------------------------
% 6.71/1.54 % (2049680)------------------------------
% 6.71/1.54 % Detected minimum model sizes of [3]
% 6.71/1.54 % Detected maximum model sizes of [max]
% 6.71/1.54 % (2049679)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049679)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049679)------------------------------
% 6.71/1.54 % (2049679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049679)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049679)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049679)Time elapsed: 0.200 s
% 6.71/1.54 % (2049679)Peak memory usage: 17 MB
% 6.71/1.54 % (2049679)Instructions burned: 605 (million)
% 6.71/1.54 % (2049679)------------------------------
% 6.71/1.54 % (2049679)------------------------------
% 6.71/1.54 % (2049716)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=68439345:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 6.71/1.54 % (2049717)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3945581162:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 6.71/1.54 % (2049719)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3483168993:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 6.71/1.54 % (2049674)Instruction limit reached!
% 6.71/1.54 % (2049674)------------------------------
% 6.71/1.54 % (2049674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049674)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049674)Termination reason: Instruction limit
% 6.71/1.54 % (2049674)Termination phase: Saturation
% 6.71/1.54 % (2049674)Time elapsed: 0.286 s
% 6.71/1.54 % (2049674)Peak memory usage: 20 MB
% 6.71/1.54 % (2049674)Instructions burned: 880 (million)
% 6.71/1.54 % (2049722)ott-2_1_sil=16000:newcnf=on:random_seed=1848632154:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 6.71/1.54 % Detected minimum model sizes of [3]
% 6.71/1.54 % Detected maximum model sizes of [max]
% 6.71/1.54 % (2049719)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049719)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049719)------------------------------
% 6.71/1.54 % (2049719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049719)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049719)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049719)Time elapsed: 0.127 s
% 6.71/1.54 % (2049719)Peak memory usage: 16 MB
% 6.71/1.54 % (2049719)Instructions burned: 577 (million)
% 6.71/1.54 % (2049719)------------------------------
% 6.71/1.54 % (2049719)------------------------------
% 6.71/1.54 % (2049724)ott+10_1_sil=32000:tgt=ground:random_seed=3666869338:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 6.71/1.54 % Detected minimum model sizes of [3]
% 6.71/1.54 % Detected maximum model sizes of [max]
% 6.71/1.54 % (2049717)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049717)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049717)------------------------------
% 6.71/1.54 % (2049717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049717)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049717)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049717)Time elapsed: 0.154 s
% 6.71/1.54 % (2049717)Peak memory usage: 18 MB
% 6.71/1.54 % (2049717)Instructions burned: 681 (million)
% 6.71/1.54 % (2049717)------------------------------
% 6.71/1.54 % (2049717)------------------------------
% 6.71/1.54 % (2049726)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1050825354:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 6.71/1.54 % (2049722)Instruction limit reached!
% 6.71/1.54 % (2049722)------------------------------
% 6.71/1.54 % (2049722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049722)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049722)Termination reason: Instruction limit
% 6.71/1.54 % (2049722)Termination phase: Saturation
% 6.71/1.54 % (2049722)Time elapsed: 0.222 s
% 6.71/1.54 % (2049722)Peak memory usage: 17 MB
% 6.71/1.54 % (2049722)Instructions burned: 870 (million)
% 6.71/1.54 % (2049728)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2670740877:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 6.71/1.54 % Detected minimum model sizes of [3]
% 6.71/1.54 % Detected maximum model sizes of [max]
% 6.71/1.54 % (2049726)Cannot represent all propositional literals internally
% 6.71/1.54 % (2049726)Refutation not found, incomplete strategy
% 6.71/1.54 % (2049726)------------------------------
% 6.71/1.54 % (2049726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049726)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049726)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.54 % (2049726)Time elapsed: 0.155 s
% 6.71/1.54 % (2049726)Peak memory usage: 18 MB
% 6.71/1.54 % (2049726)Instructions burned: 682 (million)
% 6.71/1.54 % (2049716)Instruction limit reached!
% 6.71/1.54 % (2049716)------------------------------
% 6.71/1.54 % (2049716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049716)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049716)Termination reason: Instruction limit
% 6.71/1.54 % (2049716)Termination phase: Saturation
% 6.71/1.54 % (2049716)Time elapsed: 0.332 s
% 6.71/1.54 % (2049716)Peak memory usage: 17 MB
% 6.71/1.54 % (2049716)Instructions burned: 1476 (million)
% 6.71/1.54 % (2049726)------------------------------
% 6.71/1.54 % (2049726)------------------------------
% 6.71/1.54 % (2049731)ott+11_1_sil=16000:gs=on:random_seed=2762859198:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2991 on theBenchmark for (2991ds/2251Mi)
% 6.71/1.54 % (2049730)dis+21_1_sil=32000:sas=cadical:random_seed=150698187:i=3773:amm=off_2991 on theBenchmark for (2991ds/3773Mi)
% 6.71/1.54 % (2049609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2049591-2049609"...
% 6.71/1.54 % (2049609)...printing done.
% 6.71/1.54 % (2049609)Refutation found. Thanks to Tanya!
% 6.71/1.54 % SZS status Theorem for theBenchmark
% 6.71/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.71/1.54 % (2049609)------------------------------
% 6.71/1.54 % (2049609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.54 % (2049609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.54 % (2049609)CaDiCaL version: 2.1.3
% 6.71/1.54 % (2049609)Termination reason: Refutation
% 6.71/1.54 % (2049609)Time elapsed: 1.170 s
% 6.71/1.54 % (2049609)Peak memory usage: 30 MB
% 6.71/1.54 % (2049609)Instructions burned: 4282 (million)
% 6.71/1.54 % (2049591)Success in time 1.21 s
% 6.71/1.54 % Vampire exiting
%------------------------------------------------------------------------------