%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO296+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 : n008.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 09:52:22 AM UTC 2026
% Result : Theorem 11.72s 2.49s
% Output : Refutation 12.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 27
% Syntax : Number of formulae : 193 ( 56 unt; 5 def)
% Number of atoms : 1317 ( 495 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 1864 ( 740 ~; 963 |; 148 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 22 con; 0-3 aty)
% Number of variables : 492 ( 0 sgn 455 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1187,vd1185,vd1201) = v0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(310, 1246, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1187,vd1185,vd1201) != v0,
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof(f14,axiom,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f24,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f26,axiom,
? [X0] :
( vd1199 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f30,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(f31,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).
fof(f32,axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof(f33,axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(294, 0)') ).
fof(f34,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof(f35,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof(f41,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f43,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f44,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f46,axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f59,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f63,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f69,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f93,axiom,
! [X0,X1,X2,X3,X4] :
( ( ron(X1,X3)
& rR(X1,X0,X2)
& X3 = X4
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ~ rS(X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f142,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f155,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f156,plain,
vangle(vd1187,vd1185,vd1201) != v0,
inference(flattening,[],[f2]) ).
fof(f167,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f182]) ).
fof(f198,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f199,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f198]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f210]) ).
fof(f258,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ~ ron(X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f259,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ~ ron(X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f258]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f142]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(flattening,[],[f350]) ).
fof(f370,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f155]) ).
fof(f371,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f370]) ).
fof(f374,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sK1
& rpoint(sK1)
& vd1186 = sK2
& rpoint(sK2)
& vd1185 = sK3
& rpoint(sK3)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK4
& rpoint(sK4)
& vd1179 = sK5
& rpoint(sK5)
& vd1178 = 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)],[f167]) ).
fof(f375,plain,
( vd1201 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f24]) ).
fof(f377,plain,
( vd1199 = sK9
& rpoint(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f26]) ).
fof(f381,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f183]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f381]) ).
fof(f385,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& ron(X0,X2)
& rline(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f199]) ).
fof(f386,plain,
! [X0,X1] :
( ( ron(X1,sK11(X0,X1))
& ron(X0,sK11(X0,X1))
& rline(sK11(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f385]) ).
fof(f450,plain,
vangle(vd1187,vd1185,vd1201) != v0,
inference(cnf_transformation,[],[f156]) ).
fof(f454,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f6]) ).
fof(f475,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f374]) ).
fof(f476,plain,
vd1187 = sK1,
inference(cnf_transformation,[],[f374]) ).
fof(f490,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f375]) ).
fof(f491,plain,
vd1201 = sK7,
inference(cnf_transformation,[],[f375]) ).
fof(f494,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f377]) ).
fof(f495,plain,
vd1199 = sK9,
inference(cnf_transformation,[],[f377]) ).
fof(f499,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[],[f30]) ).
fof(f500,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[],[f31]) ).
fof(f501,plain,
ron(vd1185,vd1234),
inference(cnf_transformation,[],[f32]) ).
fof(f502,plain,
rline(vd1234),
inference(cnf_transformation,[],[f33]) ).
fof(f503,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f34]) ).
fof(f504,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f35]) ).
fof(f510,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f41]) ).
fof(f514,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f43]) ).
fof(f515,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f44]) ).
fof(f517,plain,
rline(vd1197),
inference(cnf_transformation,[],[f46]) ).
fof(f525,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f382]) ).
fof(f534,plain,
v0 = vd684,
inference(cnf_transformation,[],[f59]) ).
fof(f538,plain,
! [X3,X0,X1,X4] :
( rline(sK11(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f386]) ).
fof(f539,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK11(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f386]) ).
fof(f540,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK11(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f386]) ).
fof(f551,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f211]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rS(X0,X2,X3)
| ~ ron(X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f259]) ).
fof(f731,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| X6 != X7
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(cnf_transformation,[],[f351]) ).
fof(f747,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X2,X1,X0) = vangle(X0,X1,X2)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f371]) ).
fof(f748,plain,
vd1185 = sK9,
inference(definition_unfolding,[],[f454,f495]) ).
fof(f750,plain,
vd684 != vangle(sK1,sK9,sK7),
inference(definition_unfolding,[],[f450,f476,f748,f491,f534]) ).
fof(f781,plain,
rS(sK1,sK7,vd1197),
inference(definition_unfolding,[],[f499,f476,f491]) ).
fof(f782,plain,
ron(sK7,vd1234),
inference(definition_unfolding,[],[f500,f491]) ).
fof(f783,plain,
ron(sK9,vd1234),
inference(definition_unfolding,[],[f501,f748]) ).
fof(f784,plain,
ron(sK1,vd1232),
inference(definition_unfolding,[],[f503,f476]) ).
fof(f785,plain,
ron(sK9,vd1232),
inference(definition_unfolding,[],[f504,f748]) ).
fof(f790,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f510,f748]) ).
fof(f791,plain,
~ ron(sK7,vd1232),
inference(definition_unfolding,[],[f514,f491]) ).
fof(f792,plain,
~ ron(sK1,vd1197),
inference(definition_unfolding,[],[f515,f476]) ).
fof(f798,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f525,f534]) ).
fof(f853,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| rR(X0,X2,X4)
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f798]) ).
fof(f854,plain,
! [X2,X3,X0,X1,X7,X5] :
( vd684 = vangle(X2,X0,X5)
| rR(X0,X2,X5)
| ~ ron(X5,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f853]) ).
fof(f855,plain,
! [X3,X0,X1,X7,X5] :
( vd684 = vangle(X3,X0,X5)
| rR(X0,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f854]) ).
fof(f856,plain,
! [X3,X1,X7,X5] :
( ~ ron(X5,X7)
| rR(X1,X3,X5)
| vd684 = vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f855]) ).
fof(f876,plain,
! [X3,X0,X4] :
( ron(X3,sK11(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f540]) ).
fof(f877,plain,
! [X3,X4] :
( ron(X3,sK11(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f876]) ).
fof(f878,plain,
! [X3,X0,X4] :
( ron(X0,sK11(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f539]) ).
fof(f879,plain,
! [X3,X4] :
( ron(X4,sK11(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f878]) ).
fof(f880,plain,
! [X3,X0,X4] :
( rline(sK11(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f538]) ).
fof(f881,plain,
! [X3,X4] :
( rline(sK11(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f880]) ).
fof(f906,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X2,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f551]) ).
fof(f907,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f906]) ).
fof(f908,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f907]) ).
fof(f909,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f908]) ).
fof(f1071,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rS(X0,X2,X4)
| ~ ron(X1,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f597]) ).
fof(f1072,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rS(X0,X5,X4)
| ~ ron(X1,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1071]) ).
fof(f1073,plain,
! [X0,X6,X7,X4,X5] :
( ~ rS(X0,X5,X4)
| ~ ron(X6,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1072]) ).
fof(f1074,plain,
! [X6,X7,X4,X5] :
( ~ rS(X7,X5,X4)
| ~ ron(X6,X4)
| ~ rR(X6,X7,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1073]) ).
fof(f1425,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f731]) ).
fof(f1426,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1425]) ).
fof(f1427,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X3)
| X0 = X9
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1426]) ).
fof(f1428,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X10,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1427]) ).
fof(f1429,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X1,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1428]) ).
fof(f1430,plain,
! [X10,X0,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X12,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X12,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X12
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1429]) ).
fof(f1431,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ ron(X13,X8)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1430]) ).
fof(f1498,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X3,X1,X0) = vangle(X0,X1,X3)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f747]) ).
fof(f1499,plain,
! [X3,X0,X4,X5] :
( vangle(X3,X4,X0) = vangle(X0,X4,X3)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1498]) ).
fof(f1500,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f1499]) ).
fof(f1501,definition,
sF55 = vangle(sK1,sK9,sK7),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f1502,plain,
vangle(sK1,sK9,sK7) = sF55,
inference(reorient_equations,[],[f1501]) ).
fof(f1503,plain,
vd684 != sF55,
inference(definition_folding,[],[f750,f1502]) ).
fof(f1505,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f909]) ).
fof(f1569,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK9,X0,X1)
| rR(sK9,X2,X3)
| sK9 = X1
| sK9 = X3
| sK9 = X0
| sK9 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1234)
| ~ ron(X2,vd1234)
| vangle(X3,sK9,X1) = vangle(X2,sK9,X0)
| ~ rline(X4)
| ~ rline(vd1234)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK9) ),
inference(resolution,[],[f1431,f783]) ).
fof(f1575,definition,
( spl56_13
<=> sK1 = sK9 ),
introduced(definition,[new_symbols(definition,[spl56_13])],[avatar_definition]) ).
fof(f1576,plain,
( sK1 != sK9
| spl56_13 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1577,plain,
( sK1 = sK9
| ~ spl56_13 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1639,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK1 = X1
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,X1,sK1) = vangle(sK1,X1,X0) ),
inference(resolution,[],[f1500,f475]) ).
fof(f1662,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK11(X1,X0))
| ~ ron(X2,sK11(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK11(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f877,f856]) ).
fof(f1664,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK11(X1,X0))
| ~ ron(X2,sK11(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK11(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1662]) ).
fof(f1668,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK11(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| X0 = X1
| ~ ron(X2,sK11(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1664,f881]) ).
fof(f1672,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK11(X1,X0))
| X0 = X2
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1668,f877]) ).
fof(f1673,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK11(X1,X0))
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1672]) ).
fof(f1674,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK11(X1,X0))
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1673,f1505]) ).
fof(f1677,plain,
! [X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X1)
| vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1) ),
inference(resolution,[],[f879,f1674]) ).
fof(f1687,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1677]) ).
fof(f1705,plain,
! [X0] :
( ~ rpoint(X0)
| sK9 = X0
| vd684 = vangle(X0,sK9,X0) ),
inference(resolution,[],[f1687,f494]) ).
fof(f1791,definition,
( spl56_24
<=> sK7 = sK9 ),
introduced(definition,[new_symbols(definition,[spl56_24])],[avatar_definition]) ).
fof(f1792,plain,
( sK7 != sK9
| spl56_24 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f1793,plain,
( sK7 = sK9
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f1834,definition,
( spl56_33
<=> sK1 = sK7 ),
introduced(definition,[new_symbols(definition,[spl56_33])],[avatar_definition]) ).
fof(f1835,plain,
( sK1 != sK7
| spl56_33 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1836,plain,
( sK1 = sK7
| ~ spl56_33 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1921,plain,
( ~ ron(sK9,vd1197)
| ~ spl56_13 ),
inference(superposition,[],[f792,f1577]) ).
fof(f1926,plain,
( $false
| ~ spl56_13 ),
inference(forward_subsumption_resolution,[],[f1921,f790]) ).
fof(f1927,plain,
~ spl56_13,
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1939,plain,
( ron(sK7,vd1232)
| ~ spl56_33 ),
inference(superposition,[],[f784,f1836]) ).
fof(f1943,plain,
( $false
| ~ spl56_33 ),
inference(forward_subsumption_resolution,[],[f1939,f791]) ).
fof(f1944,plain,
~ spl56_33,
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f2171,plain,
( sK7 = sK9
| vd684 = vangle(sK7,sK9,sK7) ),
inference(resolution,[],[f1705,f490]) ).
fof(f2485,plain,
! [X0] :
( sK1 = sK9
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK9,sK1) = vangle(sK1,sK9,X0) ),
inference(resolution,[],[f1639,f494]) ).
fof(f2486,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK9,sK1) = vangle(sK1,sK9,X0) )
| spl56_13 ),
inference(forward_subsumption_resolution,[],[f2485,f1576]) ).
fof(f3053,plain,
! [X0] :
( ~ ron(X0,vd1197)
| ~ rR(X0,sK1,sK7)
| ~ rline(vd1197)
| ~ rpoint(sK7)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1074,f781]) ).
fof(f3265,plain,
( sK1 = sK7
| vangle(sK1,sK9,sK7) = vangle(sK7,sK9,sK1)
| spl56_13 ),
inference(resolution,[],[f2486,f490]) ).
fof(f3270,plain,
( vangle(sK1,sK9,sK7) = vangle(sK7,sK9,sK1)
| spl56_13
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f3265,f1835]) ).
fof(f3276,plain,
( sF55 = vangle(sK7,sK9,sK1)
| spl56_13
| spl56_33 ),
inference(forward_demodulation,[],[f3270,f1502]) ).
fof(f3482,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK9,X0,X1)
| rR(sK9,X2,X3)
| sK9 = X1
| sK9 = X3
| sK9 = X0
| sK9 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1234)
| ~ ron(X2,vd1234)
| vangle(X3,sK9,X1) = vangle(X2,sK9,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK9) ),
inference(forward_subsumption_resolution,[],[f1569,f502]) ).
fof(f3556,plain,
! [X0] :
( ~ ron(X0,vd1197)
| ~ rR(X0,sK1,sK7)
| ~ rpoint(sK7)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f3053,f517]) ).
fof(f3581,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1234)
| rR(sK9,X2,X3)
| sK9 = X1
| sK9 = X3
| sK9 = X0
| sK9 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK9,X0,X1)
| ~ ron(X2,vd1234)
| vangle(X3,sK9,X1) = vangle(X2,sK9,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f3482,f494]) ).
fof(f3660,plain,
! [X0] :
( ~ ron(X0,vd1197)
| ~ rR(X0,sK1,sK7)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f3556,f490]) ).
fof(f3724,plain,
! [X0] :
( ~ rR(X0,sK1,sK7)
| ~ ron(X0,vd1197)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3660,f475]) ).
fof(f4257,plain,
! [X2,X3,X0,X1] :
( rR(sK9,X0,sK7)
| sK9 = X1
| sK7 = sK9
| sK9 = X2
| sK9 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK9,X2,X1)
| ~ ron(X0,vd1234)
| vangle(X0,sK9,X2) = vangle(sK7,sK9,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK7)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f3581,f782]) ).
fof(f4931,plain,
( ~ ron(sK9,vd1232)
| ~ spl56_24 ),
inference(superposition,[],[f791,f1793]) ).
fof(f4971,plain,
( $false
| ~ spl56_24 ),
inference(forward_subsumption_resolution,[],[f4931,f785]) ).
fof(f4972,plain,
~ spl56_24,
inference(avatar_contradiction_clause,[],[f4971]) ).
fof(f4977,plain,
( vd684 = vangle(sK7,sK9,sK7)
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f2171,f1792]) ).
fof(f4994,plain,
( ! [X2,X3,X0,X1] :
( rR(sK9,X0,sK7)
| sK9 = X1
| sK9 = X2
| sK9 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK9,X2,X1)
| ~ ron(X0,vd1234)
| vangle(X0,sK9,X2) = vangle(sK7,sK9,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK7)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f4257,f1792]) ).
fof(f5009,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK9 = X1
| sK9 = X2
| sK9 = X0
| ~ ron(X1,X3)
| rR(sK9,X0,sK7)
| rR(sK9,X2,X1)
| ~ ron(X0,vd1234)
| vangle(X0,sK9,X2) = vangle(sK7,sK9,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f4994,f490]) ).
fof(f5829,plain,
( ! [X2,X3,X0,X1] :
( sK9 = X0
| sK9 = X1
| sK9 = X2
| ~ ron(X0,sK11(X3,X1))
| rR(sK9,X2,sK7)
| rR(sK9,X1,X0)
| ~ ron(X2,vd1234)
| vangle(sK7,sK9,X0) = vangle(X2,sK9,X1)
| ~ rline(sK11(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) )
| spl56_24 ),
inference(resolution,[],[f5009,f877]) ).
fof(f5834,plain,
( ! [X2,X3,X0,X1] :
( sK9 = X0
| sK9 = X1
| sK9 = X2
| ~ ron(X0,sK11(X3,X1))
| rR(sK9,X2,sK7)
| rR(sK9,X1,X0)
| ~ ron(X2,vd1234)
| vangle(sK7,sK9,X0) = vangle(X2,sK9,X1)
| ~ rline(sK11(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl56_24 ),
inference(duplicate_literal_removal,[],[f5829]) ).
fof(f5836,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X0,sK11(X3,X1))
| sK9 = X1
| sK9 = X2
| sK9 = X0
| rR(sK9,X2,sK7)
| rR(sK9,X1,X0)
| ~ ron(X2,vd1234)
| vangle(sK7,sK9,X0) = vangle(X2,sK9,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f5834,f881]) ).
fof(f5847,plain,
( ! [X2,X0,X1] :
( sK9 = X0
| sK9 = X1
| sK9 = X2
| rR(sK9,X1,sK7)
| rR(sK9,X0,X2)
| ~ ron(X1,vd1234)
| vangle(X1,sK9,X0) = vangle(sK7,sK9,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) )
| spl56_24 ),
inference(resolution,[],[f5836,f879]) ).
fof(f5848,plain,
( ! [X2,X0,X1] :
( rR(sK9,X1,sK7)
| rR(sK9,X0,X2)
| sK9 = X2
| sK9 = X1
| sK9 = X0
| ~ ron(X1,vd1234)
| vangle(X1,sK9,X0) = vangle(sK7,sK9,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 )
| spl56_24 ),
inference(duplicate_literal_removal,[],[f5847]) ).
fof(f6939,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK7 = sK9
| sK9 = X0
| sK1 = sK9
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_24 ),
inference(resolution,[],[f5848,f3724]) ).
fof(f6965,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| sK1 = sK9
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6939,f1792]) ).
fof(f6982,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6965,f1576]) ).
fof(f6994,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6982,f490]) ).
fof(f7000,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6994,f475]) ).
fof(f7006,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(X0)
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f7000,f1835]) ).
fof(f7012,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(X0)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f7006,f790]) ).
fof(f7018,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK7) = vangle(X0,sK9,sK1)
| ~ rpoint(X0) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f7012,f494]) ).
fof(f7038,plain,
( ! [X0] :
( vd684 = vangle(X0,sK9,sK1)
| rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| ~ rpoint(X0) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_demodulation,[],[f7018,f4977]) ).
fof(f7044,definition,
( spl56_92
<=> ! [X0] :
( vd684 = vangle(X0,sK9,sK1)
| ~ rpoint(X0)
| ~ ron(X0,vd1234)
| sK9 = X0
| rR(sK9,X0,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl56_92])],[avatar_definition]) ).
fof(f7045,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| ~ rpoint(X0)
| ~ ron(X0,vd1234)
| sK9 = X0
| vd684 = vangle(X0,sK9,sK1) )
| ~ spl56_92 ),
inference(avatar_component_clause,[],[f7044]) ).
fof(f7049,plain,
( spl56_92
| spl56_13
| spl56_24
| spl56_33 ),
inference(avatar_split_clause,[],[f7038,f1834,f1791,f1575,f7044]) ).
fof(f7056,plain,
( ~ rpoint(sK7)
| ~ ron(sK7,vd1234)
| sK7 = sK9
| vd684 = vangle(sK7,sK9,sK1)
| ~ rpoint(sK7)
| ~ rpoint(sK9)
| ~ spl56_92 ),
inference(resolution,[],[f7045,f1505]) ).
fof(f7059,plain,
( ~ rpoint(sK7)
| ~ ron(sK7,vd1234)
| sK7 = sK9
| vd684 = vangle(sK7,sK9,sK1)
| ~ rpoint(sK9)
| ~ spl56_92 ),
inference(duplicate_literal_removal,[],[f7056]) ).
fof(f7066,plain,
( ~ ron(sK7,vd1234)
| sK7 = sK9
| vd684 = vangle(sK7,sK9,sK1)
| ~ rpoint(sK9)
| ~ spl56_92 ),
inference(forward_subsumption_resolution,[],[f7059,f490]) ).
fof(f7072,plain,
( sK7 = sK9
| vd684 = vangle(sK7,sK9,sK1)
| ~ rpoint(sK9)
| ~ spl56_92 ),
inference(forward_subsumption_resolution,[],[f7066,f782]) ).
fof(f7078,plain,
( vd684 = vangle(sK7,sK9,sK1)
| ~ rpoint(sK9)
| spl56_24
| ~ spl56_92 ),
inference(forward_subsumption_resolution,[],[f7072,f1792]) ).
fof(f7079,plain,
( vd684 = vangle(sK7,sK9,sK1)
| spl56_24
| ~ spl56_92 ),
inference(forward_subsumption_resolution,[],[f7078,f494]) ).
fof(f7080,plain,
( vd684 = sF55
| spl56_13
| spl56_24
| spl56_33
| ~ spl56_92 ),
inference(forward_demodulation,[],[f7079,f3276]) ).
fof(f7081,plain,
( $false
| spl56_13
| spl56_24
| spl56_33
| ~ spl56_92 ),
inference(forward_subsumption_resolution,[],[f7080,f1503]) ).
fof(f7082,plain,
( spl56_13
| spl56_24
| spl56_33
| ~ spl56_92 ),
inference(avatar_contradiction_clause,[],[f7081]) ).
cnf(s40,plain,
~ spl56_13,
inference(sat_conversion,[],[f1927]) ).
cnf(s43,plain,
~ spl56_33,
inference(sat_conversion,[],[f1944]) ).
cnf(s94,plain,
~ spl56_24,
inference(sat_conversion,[],[f4972]) ).
cnf(s104,plain,
( spl56_13
| spl56_24
| spl56_33
| spl56_92 ),
inference(sat_conversion,[],[f7049]) ).
cnf(s105,plain,
( spl56_13
| spl56_24
| spl56_33
| ~ spl56_92 ),
inference(sat_conversion,[],[f7082]) ).
cnf(s120,plain,
~ spl56_92,
inference(rat,[],[s105,s43,s94,s40]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s104,s43,s94,s120,s40]) ).
fof(f7083,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO296+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 08:01:39 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 10.92/2.32 % (903378)Detected formulas, will run a generic FOF schedule.
% 10.92/2.32 % (903389)dis-21_1_sil=8000:lcm=predicate:random_seed=2688611934: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)
% 10.92/2.32 % (903388)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1740467375:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.92/2.32 % (903387)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=626807137:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.92/2.32 % (903383)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=2572511178:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.92/2.32 % (903386)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=300247017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.92/2.32 % (903385)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=2873899097:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.92/2.32 % (903384)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=2357067682:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.92/2.32 % (903386)Refutation not found, incomplete strategy
% 10.92/2.32 % (903386)------------------------------
% 10.92/2.32 % (903386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.32 % (903386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.32 % (903386)CaDiCaL version: 2.1.3
% 10.92/2.32 % (903386)Termination reason: Refutation not found, incomplete strategy
% 10.92/2.32 % (903386)Time elapsed: 0.003 s
% 10.92/2.32 % (903386)Peak memory usage: 89 MB
% 10.92/2.32 % (903386)Instructions burned: 2 (million)
% 10.92/2.32 % (903388)Instruction limit reached!
% 10.92/2.32 % (903388)------------------------------
% 10.92/2.32 % (903388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.32 % (903388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.32 % (903388)CaDiCaL version: 2.1.3
% 10.92/2.32 % (903388)Termination reason: Instruction limit
% 10.92/2.32 % (903388)Termination phase: Saturation
% 10.92/2.32 % (903388)Time elapsed: 0.051 s
% 10.92/2.32 % (903388)Peak memory usage: 90 MB
% 10.92/2.32 % (903388)Instructions burned: 142 (million)
% 10.92/2.32 % (903387)Instruction limit reached!
% 10.92/2.32 % (903387)------------------------------
% 10.92/2.32 % (903387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.32 % (903387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.32 % (903387)CaDiCaL version: 2.1.3
% 10.92/2.32 % (903387)Termination reason: Instruction limit
% 10.92/2.32 % (903387)Termination phase: Saturation
% 10.92/2.32 % (903387)Time elapsed: 0.067 s
% 10.92/2.32 % (903387)Peak memory usage: 88 MB
% 10.92/2.32 % (903387)Instructions burned: 119 (million)
% 10.92/2.32 % (903389)Instruction limit reached!
% 10.92/2.32 % (903389)------------------------------
% 10.92/2.32 % (903389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.32 % (903389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.92/2.32 % (903389)CaDiCaL version: 2.1.3
% 10.92/2.32 % (903389)Termination reason: Instruction limit
% 10.92/2.32 % (903389)Termination phase: Saturation
% 10.92/2.32 % (903389)Time elapsed: 0.070 s
% 10.92/2.32 % (903389)Peak memory usage: 90 MB
% 10.92/2.32 % (903389)Instructions burned: 129 (million)
% 10.92/2.32 % (903397)lrs+10_1_sil=8000:sp=occurrence:random_seed=918561247:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.92/2.32 % (903399)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4266594119:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.92/2.32 % (903398)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1817138125:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.92/2.32 % (903398)Refutation not found, incomplete strategy
% 10.92/2.32 % (903398)------------------------------
% 10.92/2.32 % (903398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.92/2.32 % (903398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903398)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903398)Termination reason: Refutation not found, incomplete strategy
% 11.72/2.49 % (903398)Time elapsed: 0.003 s
% 11.72/2.49 % (903398)Peak memory usage: 89 MB
% 11.72/2.49 % (903398)Instructions burned: 3 (million)
% 11.72/2.49 % (903386)------------------------------
% 11.72/2.49 % (903386)------------------------------
% 11.72/2.49 % (903397)Instruction limit reached!
% 11.72/2.49 % (903397)------------------------------
% 11.72/2.49 % (903397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903397)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903397)Termination reason: Instruction limit
% 11.72/2.49 % (903397)Termination phase: Saturation
% 11.72/2.49 % (903397)Time elapsed: 0.086 s
% 11.72/2.49 % (903397)Peak memory usage: 92 MB
% 11.72/2.49 % (903397)Instructions burned: 288 (million)
% 11.72/2.49 % (903404)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3417320005:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.72/2.49 % (903399)Instruction limit reached!
% 11.72/2.49 % (903399)------------------------------
% 11.72/2.49 % (903399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903399)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903399)Termination reason: Instruction limit
% 11.72/2.49 % (903399)Termination phase: Saturation
% 11.72/2.49 % (903399)Time elapsed: 0.148 s
% 11.72/2.49 % (903399)Peak memory usage: 89 MB
% 11.72/2.49 % (903399)Instructions burned: 326 (million)
% 11.72/2.49 % (903403)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=1242189899:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.72/2.49 % (903404)Instruction limit reached!
% 11.72/2.49 % (903404)------------------------------
% 11.72/2.49 % (903404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903404)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903404)Termination reason: Instruction limit
% 11.72/2.49 % (903404)Termination phase: Saturation
% 11.72/2.49 % (903404)Time elapsed: 0.080 s
% 11.72/2.49 % (903404)Peak memory usage: 89 MB
% 11.72/2.49 % (903404)Instructions burned: 295 (million)
% 11.72/2.49 % (903398)------------------------------
% 11.72/2.49 % (903398)------------------------------
% 11.72/2.49 % (903403)Instruction limit reached!
% 11.72/2.49 % (903403)------------------------------
% 11.72/2.49 % (903403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903403)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903403)Termination reason: Instruction limit
% 11.72/2.49 % (903403)Termination phase: Saturation
% 11.72/2.49 % (903403)Time elapsed: 0.123 s
% 11.72/2.49 % (903403)Peak memory usage: 91 MB
% 11.72/2.49 % (903403)Instructions burned: 249 (million)
% 11.72/2.49 % (903406)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2507750371:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.72/2.49 % (903408)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3352168113:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.72/2.49 % (903408)Instruction limit reached!
% 11.72/2.49 % (903408)------------------------------
% 11.72/2.49 % (903408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903408)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903408)Termination reason: Instruction limit
% 11.72/2.49 % (903408)Termination phase: Saturation
% 11.72/2.49 % (903408)Time elapsed: 0.034 s
% 11.72/2.49 % (903408)Peak memory usage: 90 MB
% 11.72/2.49 % (903408)Instructions burned: 115 (million)
% 11.72/2.49 % (903409)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=983009577:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.72/2.49 % (903409)Refutation not found, incomplete strategy
% 11.72/2.49 % (903409)------------------------------
% 11.72/2.49 % (903409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903409)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903409)Termination reason: Refutation not found, incomplete strategy
% 11.72/2.49 % (903409)Time elapsed: 0.020 s
% 11.72/2.49 % (903409)Peak memory usage: 89 MB
% 11.72/2.49 % (903409)Instructions burned: 39 (million)
% 11.72/2.49 % (903411)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3255565550:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.72/2.49 % (903413)lrs+10_1_sil=8000:sp=occurrence:random_seed=2549596125:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.72/2.49 % (903411)Instruction limit reached!
% 11.72/2.49 % (903411)------------------------------
% 11.72/2.49 % (903411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903411)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903411)Termination reason: Instruction limit
% 11.72/2.49 % (903411)Termination phase: Saturation
% 11.72/2.49 % (903411)Time elapsed: 0.059 s
% 11.72/2.49 % (903411)Peak memory usage: 89 MB
% 11.72/2.49 % (903411)Instructions burned: 115 (million)
% 11.72/2.49 % (903417)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2865820091:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 11.72/2.49 % (903409)------------------------------
% 11.72/2.49 % (903409)------------------------------
% 11.72/2.49 % (903417)Refutation not found, incomplete strategy
% 11.72/2.49 % (903417)------------------------------
% 11.72/2.49 % (903417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903417)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903417)Termination reason: Refutation not found, incomplete strategy
% 11.72/2.49 % (903417)Time elapsed: 0.016 s
% 11.72/2.49 % (903417)Peak memory usage: 89 MB
% 11.72/2.49 % (903417)Instructions burned: 29 (million)
% 11.72/2.49 % (903413)Instruction limit reached!
% 11.72/2.49 % (903413)------------------------------
% 11.72/2.49 % (903413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903413)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903413)Termination reason: Instruction limit
% 11.72/2.49 % (903413)Termination phase: Saturation
% 11.72/2.49 % (903413)Time elapsed: 0.243 s
% 11.72/2.49 % (903413)Peak memory usage: 96 MB
% 11.72/2.49 % (903413)Instructions burned: 907 (million)
% 11.72/2.49 % (903419)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2513183388:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.72/2.49 % (903420)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4179665332:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.72/2.49 % (903420)Instruction limit reached!
% 11.72/2.49 % (903420)------------------------------
% 11.72/2.49 % (903420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903420)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903420)Termination reason: Instruction limit
% 11.72/2.49 % (903420)Termination phase: Saturation
% 11.72/2.49 % (903420)Time elapsed: 0.036 s
% 11.72/2.49 % (903420)Peak memory usage: 93 MB
% 11.72/2.49 % (903420)Instructions burned: 138 (million)
% 11.72/2.49 % (903417)------------------------------
% 11.72/2.49 % (903417)------------------------------
% 11.72/2.49 % (903423)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1993307792:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 11.72/2.49 % (903383)First to succeed.
% 11.72/2.49 % (903383)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-903378"
% 11.72/2.49 % (903424)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3566903945:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.72/2.49 % (903423)Instruction limit reached!
% 11.72/2.49 % (903423)------------------------------
% 11.72/2.49 % (903423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.72/2.49 % (903423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.72/2.49 % (903423)CaDiCaL version: 2.1.3
% 11.72/2.49 % (903423)Termination reason: Instruction limit
% 11.72/2.49 % (903423)Termination phase: Saturation
% 11.72/2.49 % (903423)Time elapsed: 0.189 s
% 11.72/2.49 % (903423)Peak memory usage: 94 MB
% 11.72/2.49 % (903423)Instructions burned: 594 (million)
% 11.72/2.49 % (903427)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3112073654:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 11.72/2.49 % (903383)Refutation found. Thanks to Tanya!
% 11.72/2.49 % SZS status Theorem for theBenchmark
% 11.72/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 12.91/2.69 % (903383)------------------------------
% 12.91/2.69 % (903383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.91/2.69 % (903383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.91/2.69 % (903383)CaDiCaL version: 2.1.3
% 12.91/2.69 % (903383)Termination reason: Refutation
% 12.91/2.69 % (903383)Time elapsed: 1.337 s
% 12.91/2.69 % (903383)Peak memory usage: 138 MB
% 12.91/2.69 % (903383)Instructions burned: 2101 (million)
% 12.91/2.69 % (903383)------------------------------
% 12.91/2.69 % (903383)------------------------------
% 12.91/2.69 % (903378)Success in time 1.767 s
% 12.91/2.69 % Vampire exiting
%------------------------------------------------------------------------------