%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO293+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 09:52:21 AM UTC 2026
% Result : Theorem 6.10s 1.56s
% Output : Refutation 7.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 26
% Syntax : Number of formulae : 181 ( 57 unt; 5 def)
% Number of atoms : 1232 ( 447 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 1755 ( 704 ~; 898 |; 141 &)
% ( 7 <=>; 5 =>; 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 : 452 ( 0 sgn 418 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1201,vd1185,vd1187) = v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(302, 1241, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1201,vd1185,vd1187) != v0,
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/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/sandbox2/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(f17,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f25,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f27,axiom,
? [X0] :
( vd1199 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f29,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f33,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).
fof(f34,axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof(f35,axiom,
rline(vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(294, 0)') ).
fof(f36,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof(f37,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof(f43,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f44,axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f47,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f57,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f72,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f85,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f100,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f131,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f141,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f155,plain,
vangle(vd1201,vd1185,vd1187) != v0,
inference(flattening,[],[f2]) ).
fof(f166,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(f217,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,[],[f72]) ).
fof(f218,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,[],[f217]) ).
fof(f243,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,[],[f85]) ).
fof(f244,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,[],[f243]) ).
fof(f272,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,[],[f100]) ).
fof(f273,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,[],[f272]) ).
fof(f329,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,[],[f131]) ).
fof(f330,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,[],[f329]) ).
fof(f349,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,[],[f141]) ).
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(flattening,[],[f349]) ).
fof(f373,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)],[f166]) ).
fof(f374,plain,
( vd1201 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f25]) ).
fof(f376,plain,
( vd1199 = sK9
& rpoint(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f27]) ).
fof(f397,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,[],[f273]) ).
fof(f398,plain,
! [X0,X1] :
( ( ron(X1,sK25(X0,X1))
& ron(X0,sK25(X0,X1))
& rline(sK25(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X2,sK25(X0,X1))],[f397]) ).
fof(f434,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,[],[f330]) ).
fof(f435,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,[],[f434]) ).
fof(f449,plain,
vangle(vd1201,vd1185,vd1187) != v0,
inference(cnf_transformation,[],[f155]) ).
fof(f453,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f6]) ).
fof(f474,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f373]) ).
fof(f475,plain,
vd1187 = sK1,
inference(cnf_transformation,[],[f373]) ).
fof(f482,plain,
rS(vd1201,vd1187,vd1197),
inference(cnf_transformation,[],[f17]) ).
fof(f490,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f374]) ).
fof(f491,plain,
vd1201 = sK7,
inference(cnf_transformation,[],[f374]) ).
fof(f494,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f376]) ).
fof(f495,plain,
vd1199 = sK9,
inference(cnf_transformation,[],[f376]) ).
fof(f497,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f29]) ).
fof(f501,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[],[f33]) ).
fof(f502,plain,
ron(vd1185,vd1234),
inference(cnf_transformation,[],[f34]) ).
fof(f503,plain,
rline(vd1234),
inference(cnf_transformation,[],[f35]) ).
fof(f504,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f36]) ).
fof(f505,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f37]) ).
fof(f511,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f43]) ).
fof(f512,plain,
rline(vd1197),
inference(cnf_transformation,[],[f44]) ).
fof(f517,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f47]) ).
fof(f529,plain,
v0 = vd684,
inference(cnf_transformation,[],[f57]) ).
fof(f554,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,[],[f218]) ).
fof(f569,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,[],[f244]) ).
fof(f617,plain,
! [X3,X0,X1,X4] :
( rline(sK25(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f398]) ).
fof(f618,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK25(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f398]) ).
fof(f619,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK25(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f398]) ).
fof(f700,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,[],[f435]) ).
fof(f729,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,[],[f350]) ).
fof(f746,plain,
vd1185 = sK9,
inference(definition_unfolding,[],[f453,f495]) ).
fof(f748,plain,
vd684 != vangle(sK7,sK9,sK1),
inference(definition_unfolding,[],[f449,f491,f746,f475,f529]) ).
fof(f768,plain,
rS(sK7,sK1,vd1197),
inference(definition_unfolding,[],[f482,f491,f475]) ).
fof(f778,plain,
~ ron(sK7,vd1232),
inference(definition_unfolding,[],[f497,f491]) ).
fof(f781,plain,
ron(sK7,vd1234),
inference(definition_unfolding,[],[f501,f491]) ).
fof(f782,plain,
ron(sK9,vd1234),
inference(definition_unfolding,[],[f502,f746]) ).
fof(f783,plain,
ron(sK1,vd1232),
inference(definition_unfolding,[],[f504,f475]) ).
fof(f784,plain,
ron(sK9,vd1232),
inference(definition_unfolding,[],[f505,f746]) ).
fof(f789,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f511,f746]) ).
fof(f790,plain,
~ ron(sK1,vd1197),
inference(definition_unfolding,[],[f517,f475]) ).
fof(f796,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vd684 = 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(definition_unfolding,[],[f700,f529]) ).
fof(f952,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,[],[f554]) ).
fof(f953,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,[],[f952]) ).
fof(f954,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,[],[f953]) ).
fof(f955,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,[],[f954]) ).
fof(f1004,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,[],[f569]) ).
fof(f1005,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1004]) ).
fof(f1006,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1005]) ).
fof(f1007,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1006]) ).
fof(f1130,plain,
! [X3,X0,X4] :
( ron(X3,sK25(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f619]) ).
fof(f1131,plain,
! [X3,X4] :
( ron(X3,sK25(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1130]) ).
fof(f1132,plain,
! [X3,X0,X4] :
( ron(X0,sK25(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f618]) ).
fof(f1133,plain,
! [X3,X4] :
( ron(X4,sK25(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1132]) ).
fof(f1134,plain,
! [X3,X0,X4] :
( rline(sK25(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f617]) ).
fof(f1135,plain,
! [X3,X4] :
( rline(sK25(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1134]) ).
fof(f1361,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vd684 = vangle(X2,X0,X4)
| 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,[],[f796]) ).
fof(f1362,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,[],[f1361]) ).
fof(f1363,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,[],[f1362]) ).
fof(f1364,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,[],[f1363]) ).
fof(f1422,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,[],[f729]) ).
fof(f1423,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,[],[f1422]) ).
fof(f1424,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,[],[f1423]) ).
fof(f1425,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,[],[f1424]) ).
fof(f1426,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,[],[f1425]) ).
fof(f1427,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,[],[f1426]) ).
fof(f1428,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,[],[f1427]) ).
fof(f1498,definition,
sF55 = vangle(sK7,sK9,sK1),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f1499,plain,
vangle(sK7,sK9,sK1) = sF55,
inference(reorient_equations,[],[f1498]) ).
fof(f1500,plain,
vd684 != sF55,
inference(definition_folding,[],[f748,f1499]) ).
fof(f1502,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1007]) ).
fof(f1567,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,[],[f1428,f782]) ).
fof(f1572,definition,
( spl56_13
<=> sK1 = sK9 ),
introduced(definition,[new_symbols(definition,[spl56_13])],[avatar_definition]) ).
fof(f1573,plain,
( sK1 != sK9
| spl56_13 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1574,plain,
( sK1 = sK9
| ~ spl56_13 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1722,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK25(X1,X0))
| ~ ron(X2,sK25(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK25(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1131,f1364]) ).
fof(f1724,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK25(X1,X0))
| ~ ron(X2,sK25(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK25(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1722]) ).
fof(f1729,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK25(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| X0 = X1
| ~ ron(X2,sK25(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1724,f1135]) ).
fof(f1734,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK25(X1,X0))
| X0 = X2
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1729,f1131]) ).
fof(f1735,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK25(X1,X0))
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1734]) ).
fof(f1736,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK25(X1,X0))
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1735,f1502]) ).
fof(f1739,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,[],[f1133,f1736]) ).
fof(f1751,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1739]) ).
fof(f1770,plain,
! [X0] :
( ~ rpoint(X0)
| sK9 = X0
| vd684 = vangle(X0,sK9,X0) ),
inference(resolution,[],[f1751,f494]) ).
fof(f1856,definition,
( spl56_24
<=> sK7 = sK9 ),
introduced(definition,[new_symbols(definition,[spl56_24])],[avatar_definition]) ).
fof(f1857,plain,
( sK7 != sK9
| spl56_24 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1858,plain,
( sK7 = sK9
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f1856]) ).
fof(f1899,definition,
( spl56_33
<=> sK1 = sK7 ),
introduced(definition,[new_symbols(definition,[spl56_33])],[avatar_definition]) ).
fof(f1900,plain,
( sK1 != sK7
| spl56_33 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1901,plain,
( sK1 = sK7
| ~ spl56_33 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f2034,plain,
( ~ ron(sK9,vd1197)
| ~ spl56_13 ),
inference(superposition,[],[f790,f1574]) ).
fof(f2041,plain,
( $false
| ~ spl56_13 ),
inference(forward_subsumption_resolution,[],[f2034,f789]) ).
fof(f2042,plain,
~ spl56_13,
inference(avatar_contradiction_clause,[],[f2041]) ).
fof(f2092,plain,
( ron(sK7,vd1232)
| ~ spl56_33 ),
inference(superposition,[],[f783,f1901]) ).
fof(f2097,plain,
( $false
| ~ spl56_33 ),
inference(forward_subsumption_resolution,[],[f2092,f778]) ).
fof(f2098,plain,
~ spl56_33,
inference(avatar_contradiction_clause,[],[f2097]) ).
fof(f2313,plain,
( sK7 = sK9
| vd684 = vangle(sK7,sK9,sK7) ),
inference(resolution,[],[f1770,f490]) ).
fof(f2822,plain,
! [X0] :
( ~ ron(X0,vd1197)
| ~ rR(X0,sK7,sK1)
| ~ rline(vd1197)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(sK7) ),
inference(resolution,[],[f955,f768]) ).
fof(f3533,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,[],[f1567,f503]) ).
fof(f3573,plain,
! [X0] :
( ~ ron(X0,vd1197)
| ~ rR(X0,sK7,sK1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(sK7) ),
inference(forward_subsumption_resolution,[],[f2822,f512]) ).
fof(f3630,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,[],[f3533,f494]) ).
fof(f3678,plain,
! [X0] :
( ~ ron(X0,vd1197)
| ~ rR(X0,sK7,sK1)
| ~ rpoint(X0)
| ~ rpoint(sK7) ),
inference(forward_subsumption_resolution,[],[f3573,f474]) ).
fof(f3747,plain,
! [X0] :
( ~ rR(X0,sK7,sK1)
| ~ ron(X0,vd1197)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3678,f490]) ).
fof(f4247,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,[],[f3630,f781]) ).
fof(f6423,plain,
( ~ ron(sK9,vd1232)
| ~ spl56_24 ),
inference(superposition,[],[f778,f1858]) ).
fof(f6494,plain,
( $false
| ~ spl56_24 ),
inference(forward_subsumption_resolution,[],[f6423,f784]) ).
fof(f6495,plain,
~ spl56_24,
inference(avatar_contradiction_clause,[],[f6494]) ).
fof(f6500,plain,
( vd684 = vangle(sK7,sK9,sK7)
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f2313,f1857]) ).
fof(f6510,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,[],[f4247,f1857]) ).
fof(f6534,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,[],[f6510,f490]) ).
fof(f6637,plain,
( ! [X2,X3,X0,X1] :
( sK9 = X0
| sK9 = X1
| sK9 = X2
| ~ ron(X0,sK25(X3,X1))
| rR(sK9,X2,sK7)
| rR(sK9,X1,X0)
| ~ ron(X2,vd1234)
| vangle(sK7,sK9,X0) = vangle(X2,sK9,X1)
| ~ rline(sK25(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) )
| spl56_24 ),
inference(resolution,[],[f6534,f1131]) ).
fof(f6648,plain,
( ! [X2,X3,X0,X1] :
( sK9 = X0
| sK9 = X1
| sK9 = X2
| ~ ron(X0,sK25(X3,X1))
| rR(sK9,X2,sK7)
| rR(sK9,X1,X0)
| ~ ron(X2,vd1234)
| vangle(sK7,sK9,X0) = vangle(X2,sK9,X1)
| ~ rline(sK25(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl56_24 ),
inference(duplicate_literal_removal,[],[f6637]) ).
fof(f6653,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X0,sK25(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,[],[f6648,f1135]) ).
fof(f6730,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,[],[f6653,f1133]) ).
fof(f6737,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,[],[f6730]) ).
fof(f6824,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK1 = sK9
| sK9 = X0
| sK7 = sK9
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK7)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_24 ),
inference(resolution,[],[f6737,f3747]) ).
fof(f6840,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| sK7 = sK9
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK7)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6824,f1573]) ).
fof(f6855,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK7)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6840,f1857]) ).
fof(f6866,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(sK7)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6855,f474]) ).
fof(f6872,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(X0)
| sK1 = sK7
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f6866,f490]) ).
fof(f6878,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(X0)
| ~ ron(sK9,vd1197)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f6872,f1900]) ).
fof(f6884,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(X0)
| ~ rpoint(sK9) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f6878,f789]) ).
fof(f6890,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| vangle(sK7,sK9,sK1) = vangle(X0,sK9,sK7)
| ~ rpoint(X0) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_subsumption_resolution,[],[f6884,f494]) ).
fof(f6896,plain,
( ! [X0] :
( sF55 = vangle(X0,sK9,sK7)
| rR(sK9,X0,sK7)
| sK9 = X0
| ~ ron(X0,vd1234)
| ~ rpoint(X0) )
| spl56_13
| spl56_24
| spl56_33 ),
inference(forward_demodulation,[],[f6890,f1499]) ).
fof(f6898,definition,
( spl56_95
<=> ! [X0] :
( sF55 = vangle(X0,sK9,sK7)
| ~ rpoint(X0)
| ~ ron(X0,vd1234)
| sK9 = X0
| rR(sK9,X0,sK7) ) ),
introduced(definition,[new_symbols(definition,[spl56_95])],[avatar_definition]) ).
fof(f6899,plain,
( ! [X0] :
( rR(sK9,X0,sK7)
| ~ rpoint(X0)
| ~ ron(X0,vd1234)
| sK9 = X0
| sF55 = vangle(X0,sK9,sK7) )
| ~ spl56_95 ),
inference(avatar_component_clause,[],[f6898]) ).
fof(f6911,plain,
( spl56_95
| spl56_13
| spl56_24
| spl56_33 ),
inference(avatar_split_clause,[],[f6896,f1899,f1856,f1572,f6898]) ).
fof(f6919,plain,
( ~ rpoint(sK7)
| ~ ron(sK7,vd1234)
| sK7 = sK9
| sF55 = vangle(sK7,sK9,sK7)
| ~ rpoint(sK7)
| ~ rpoint(sK9)
| ~ spl56_95 ),
inference(resolution,[],[f6899,f1502]) ).
fof(f6924,plain,
( ~ rpoint(sK7)
| ~ ron(sK7,vd1234)
| sK7 = sK9
| sF55 = vangle(sK7,sK9,sK7)
| ~ rpoint(sK9)
| ~ spl56_95 ),
inference(duplicate_literal_removal,[],[f6919]) ).
fof(f6930,plain,
( ~ ron(sK7,vd1234)
| sK7 = sK9
| sF55 = vangle(sK7,sK9,sK7)
| ~ rpoint(sK9)
| ~ spl56_95 ),
inference(forward_subsumption_resolution,[],[f6924,f490]) ).
fof(f6935,plain,
( sK7 = sK9
| sF55 = vangle(sK7,sK9,sK7)
| ~ rpoint(sK9)
| ~ spl56_95 ),
inference(forward_subsumption_resolution,[],[f6930,f781]) ).
fof(f6940,plain,
( sF55 = vangle(sK7,sK9,sK7)
| ~ rpoint(sK9)
| spl56_24
| ~ spl56_95 ),
inference(forward_subsumption_resolution,[],[f6935,f1857]) ).
fof(f6941,plain,
( sF55 = vangle(sK7,sK9,sK7)
| spl56_24
| ~ spl56_95 ),
inference(forward_subsumption_resolution,[],[f6940,f494]) ).
fof(f6942,plain,
( vd684 = sF55
| spl56_24
| ~ spl56_95 ),
inference(forward_demodulation,[],[f6941,f6500]) ).
fof(f6943,plain,
( $false
| spl56_24
| ~ spl56_95 ),
inference(forward_subsumption_resolution,[],[f6942,f1500]) ).
fof(f6944,plain,
( spl56_24
| ~ spl56_95 ),
inference(avatar_contradiction_clause,[],[f6943]) ).
cnf(s46,plain,
~ spl56_13,
inference(sat_conversion,[],[f2042]) ).
cnf(s52,plain,
~ spl56_33,
inference(sat_conversion,[],[f2098]) ).
cnf(s120,plain,
~ spl56_24,
inference(sat_conversion,[],[f6495]) ).
cnf(s126,plain,
( spl56_13
| spl56_24
| spl56_33
| spl56_95 ),
inference(sat_conversion,[],[f6911]) ).
cnf(s129,plain,
( spl56_24
| ~ spl56_95 ),
inference(sat_conversion,[],[f6944]) ).
cnf(s130,plain,
~ spl56_95,
inference(rat,[],[s129,s120]) ).
cnf(s149,plain,
spl56_13,
inference(rat,[],[s126,s130,s120,s52]) ).
cnf(s151,plain,
$false,
inference(rat,[],[s46,s149]) ).
fof(f6945,plain,
$false,
inference(avatar_sat_refutation,[],[s151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO293+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 07:59:50 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.10/1.56 % (2050129)Detected formulas, will run a generic FOF schedule.
% 6.10/1.56 % (2050139)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2072991507:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.10/1.56 % (2050140)dis-21_1_sil=8000:lcm=predicate:random_seed=1879629337: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)
% 6.10/1.56 % (2050136)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=2058676780:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.10/1.56 % (2050138)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2897425182:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.10/1.56 % (2050135)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=3795610349:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.10/1.56 % (2050137)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3702019492:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.10/1.56 % (2050134)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=2951380147:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.10/1.56 % (2050137)Refutation not found, incomplete strategy
% 6.10/1.56 % (2050137)------------------------------
% 6.10/1.56 % (2050137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050137)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050137)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.56 % (2050137)Time elapsed: 0.002 s
% 6.10/1.56 % (2050137)Peak memory usage: 88 MB
% 6.10/1.56 % (2050137)Instructions burned: 2 (million)
% 6.10/1.56 % (2050138)Instruction limit reached!
% 6.10/1.56 % (2050138)------------------------------
% 6.10/1.56 % (2050138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050138)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050138)Termination reason: Instruction limit
% 6.10/1.56 % (2050138)Termination phase: Saturation
% 6.10/1.56 % (2050138)Time elapsed: 0.035 s
% 6.10/1.56 % (2050138)Peak memory usage: 88 MB
% 6.10/1.56 % (2050138)Instructions burned: 121 (million)
% 6.10/1.56 % (2050140)Instruction limit reached!
% 6.10/1.56 % (2050140)------------------------------
% 6.10/1.56 % (2050140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050140)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050140)Termination reason: Instruction limit
% 6.10/1.56 % (2050140)Termination phase: Saturation
% 6.10/1.56 % (2050140)Time elapsed: 0.036 s
% 6.10/1.56 % (2050140)Peak memory usage: 90 MB
% 6.10/1.56 % (2050140)Instructions burned: 130 (million)
% 6.10/1.56 % (2050139)Instruction limit reached!
% 6.10/1.56 % (2050139)------------------------------
% 6.10/1.56 % (2050139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050139)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050139)Termination reason: Instruction limit
% 6.10/1.56 % (2050139)Termination phase: Saturation
% 6.10/1.56 % (2050139)Time elapsed: 0.047 s
% 6.10/1.56 % (2050139)Peak memory usage: 90 MB
% 6.10/1.56 % (2050139)Instructions burned: 143 (million)
% 6.10/1.56 % (2050149)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2274563008:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 6.10/1.56 % (2050148)lrs+10_1_sil=8000:sp=occurrence:random_seed=568930751:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.10/1.56 % (2050149)Refutation not found, incomplete strategy
% 6.10/1.56 % (2050149)------------------------------
% 6.10/1.56 % (2050149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050149)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050149)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.56 % (2050149)Time elapsed: 0.002 s
% 6.10/1.56 % (2050149)Peak memory usage: 89 MB
% 6.10/1.56 % (2050149)Instructions burned: 3 (million)
% 6.10/1.56 % (2050137)------------------------------
% 6.10/1.56 % (2050137)------------------------------
% 6.10/1.56 % (2050150)lrs+1011_1_sil=32000:sp=occurrence:random_seed=490840857:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 6.10/1.56 % (2050148)Instruction limit reached!
% 6.10/1.56 % (2050148)------------------------------
% 6.10/1.56 % (2050148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050148)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050148)Termination reason: Instruction limit
% 6.10/1.56 % (2050148)Termination phase: Saturation
% 6.10/1.56 % (2050148)Time elapsed: 0.086 s
% 6.10/1.56 % (2050148)Peak memory usage: 91 MB
% 6.10/1.56 % (2050148)Instructions burned: 286 (million)
% 6.10/1.56 % (2050150)Instruction limit reached!
% 6.10/1.56 % (2050150)------------------------------
% 6.10/1.56 % (2050150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050150)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050150)Termination reason: Instruction limit
% 6.10/1.56 % (2050150)Termination phase: Saturation
% 6.10/1.56 % (2050150)Time elapsed: 0.081 s
% 6.10/1.56 % (2050150)Peak memory usage: 90 MB
% 6.10/1.56 % (2050150)Instructions burned: 328 (million)
% 6.10/1.56 % (2050153)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=4207465932:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.10/1.56 % (2050149)------------------------------
% 6.10/1.56 % (2050149)------------------------------
% 6.10/1.56 % (2050155)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=553964317:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.10/1.56 % (2050153)Instruction limit reached!
% 6.10/1.56 % (2050153)------------------------------
% 6.10/1.56 % (2050153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050153)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050153)Termination reason: Instruction limit
% 6.10/1.56 % (2050153)Termination phase: Saturation
% 6.10/1.56 % (2050153)Time elapsed: 0.066 s
% 6.10/1.56 % (2050153)Peak memory usage: 91 MB
% 6.10/1.56 % (2050153)Instructions burned: 252 (million)
% 6.10/1.56 % (2050156)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1338814987:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 6.10/1.56 % (2050158)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=159573122:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.10/1.56 % (2050155)Instruction limit reached!
% 6.10/1.56 % (2050155)------------------------------
% 6.10/1.56 % (2050155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050155)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050155)Termination reason: Instruction limit
% 6.10/1.56 % (2050155)Termination phase: Saturation
% 6.10/1.56 % (2050155)Time elapsed: 0.081 s
% 6.10/1.56 % (2050155)Peak memory usage: 89 MB
% 6.10/1.56 % (2050155)Instructions burned: 297 (million)
% 6.10/1.56 % (2050158)Instruction limit reached!
% 6.10/1.56 % (2050158)------------------------------
% 6.10/1.56 % (2050158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050158)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050158)Termination reason: Instruction limit
% 6.10/1.56 % (2050158)Termination phase: Saturation
% 6.10/1.56 % (2050158)Time elapsed: 0.033 s
% 6.10/1.56 % (2050158)Peak memory usage: 90 MB
% 6.10/1.56 % (2050158)Instructions burned: 117 (million)
% 6.10/1.56 % (2050160)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3655067675:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.10/1.56 % (2050160)Refutation not found, incomplete strategy
% 6.10/1.56 % (2050160)------------------------------
% 6.10/1.56 % (2050160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050160)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050160)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.56 % (2050160)Time elapsed: 0.011 s
% 6.10/1.56 % (2050160)Peak memory usage: 89 MB
% 6.10/1.56 % (2050160)Instructions burned: 40 (million)
% 6.10/1.56 % (2050163)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3870424446:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.10/1.56 % (2050164)lrs+10_1_sil=8000:sp=occurrence:random_seed=2407299017:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.10/1.56 % (2050163)Instruction limit reached!
% 6.10/1.56 % (2050163)------------------------------
% 6.10/1.56 % (2050163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050163)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050163)Termination reason: Instruction limit
% 6.10/1.56 % (2050163)Termination phase: Saturation
% 6.10/1.56 % (2050163)Time elapsed: 0.032 s
% 6.10/1.56 % (2050163)Peak memory usage: 89 MB
% 6.10/1.56 % (2050163)Instructions burned: 117 (million)
% 6.10/1.56 % (2050160)------------------------------
% 6.10/1.56 % (2050160)------------------------------
% 6.10/1.56 % (2050168)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1206593450:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.10/1.56 % (2050134)First to succeed.
% 6.10/1.56 % (2050134)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2050129"
% 6.10/1.56 % (2050168)Refutation not found, incomplete strategy
% 6.10/1.56 % (2050168)------------------------------
% 6.10/1.56 % (2050168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050168)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050168)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.56 % (2050168)Time elapsed: 0.009 s
% 6.10/1.56 % (2050168)Peak memory usage: 89 MB
% 6.10/1.56 % (2050168)Instructions burned: 30 (million)
% 6.10/1.56 % (2050169)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2019150623:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.10/1.56 % (2050164)Instruction limit reached!
% 6.10/1.56 % (2050164)------------------------------
% 6.10/1.56 % (2050164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.56 % (2050164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.56 % (2050164)CaDiCaL version: 2.1.3
% 6.10/1.56 % (2050164)Termination reason: Instruction limit
% 6.10/1.56 % (2050164)Termination phase: Saturation
% 6.10/1.56 % (2050164)Time elapsed: 0.267 s
% 6.10/1.56 % (2050164)Peak memory usage: 98 MB
% 6.10/1.56 % (2050164)Instructions burned: 908 (million)
% 6.10/1.56 % (2050168)------------------------------
% 6.10/1.56 % (2050168)------------------------------
% 6.10/1.56 % (2050134)Refutation found. Thanks to Tanya!
% 6.10/1.56 % SZS status Theorem for theBenchmark
% 6.10/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 7.39/1.66 % (2050134)------------------------------
% 7.39/1.66 % (2050134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.39/1.66 % (2050134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.66 % (2050134)CaDiCaL version: 2.1.3
% 7.39/1.66 % (2050134)Termination reason: Refutation
% 7.39/1.66 % (2050134)Time elapsed: 0.726 s
% 7.39/1.66 % (2050134)Peak memory usage: 137 MB
% 7.39/1.66 % (2050134)Instructions burned: 2074 (million)
% 7.39/1.66 % (2050134)------------------------------
% 7.39/1.66 % (2050134)------------------------------
% 7.39/1.66 % (2050129)Success in time 1.026 s
% 7.39/1.66 % Vampire exiting
%------------------------------------------------------------------------------