%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO295+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 : n006.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 7.79s 2.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 207 ( 79 unt; 12 def)
% Number of atoms : 1157 ( 348 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 1620 ( 670 ~; 803 |; 127 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 19 con; 0-3 aty)
% Number of variables : 383 ( 0 sgn 351 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1186,vd1185,vd1201) = vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(307, 1243, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rS(vd1200,vd1187,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(306, 1242, 0)') ).
fof(f5,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X4 != X5
& ~ ron(X3,X5)
& ~ ron(X3,X4)
& X0 != X2
& X0 != X1
& ron(X2,X5)
& ron(X1,X4)
& ron(X0,X5)
& ron(X0,X4)
& ? [X6] :
( X5 = X6
& rline(X6) )
& ? [X7] :
( X4 = X7
& rline(X7) )
& ? [X8] :
( X3 = X8
& rpoint(X8) )
& ? [X9] :
( X2 = X9
& rpoint(X9) )
& ? [X10] :
( X1 = X10
& rpoint(X10) )
& ? [X11] :
( X0 = X11
& rpoint(X11) ) )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X2,X3,X4)
& rS(X1,X3,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f7,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).
fof(f8,axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof(f9,axiom,
rline(vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(294, 0)') ).
fof(f10,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof(f11,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof(f12,axiom,
rline(vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).
fof(f14,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f15,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f16,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f17,axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f18,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(f20,axiom,
! [X0,X1,X2,X3] :
( ( rS(X0,X1,X2)
& X2 = X3
& rline(X3)
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f23,axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof(f24,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f30,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(f37,axiom,
? [X0] :
( vd1200 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& rline(X4)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f99,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f100,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f152,plain,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(flattening,[],[f2]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X2,X3,X4)
& rS(X1,X3,X5) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X2,X3,X4)
& rS(X1,X3,X5) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(flattening,[],[f153]) ).
fof(f155,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,[],[f18]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f158]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f206]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f270]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f100]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f272]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X5) )
& ( ( rS(X2,X3,X4)
& rS(X1,X3,X5) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(nnf_transformation,[],[f154]) ).
fof(f375,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X5) )
& ( ( rS(X2,X3,X4)
& rS(X1,X3,X5) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ! [X6] :
( X5 != X6
| ~ rline(X6) )
| ! [X7] :
( X4 != X7
| ~ rline(X7) )
| ! [X8] :
( X3 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X2 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X1 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X0 != X11
| ~ rpoint(X11) ) ),
inference(flattening,[],[f374]) ).
fof(f376,plain,
( vd1201 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f15]) ).
fof(f377,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 = sK2
& rpoint(sK2)
& vd1186 = sK3
& rpoint(sK3)
& vd1185 = sK4
& rpoint(sK4)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK5
& rpoint(sK5)
& vd1179 = sK6
& rpoint(sK6)
& vd1178 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7)],[f155]) ).
fof(f380,plain,
( vd1200 = sK8
& rpoint(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f37]) ).
fof(f451,plain,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(cnf_transformation,[],[f152]) ).
fof(f452,plain,
rS(vd1200,vd1187,vd1234),
inference(cnf_transformation,[],[f3]) ).
fof(f454,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f5]) ).
fof(f457,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X5)
| X4 = X5
| ron(X3,X5)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X5)
| ~ ron(X1,X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| X5 != X6
| ~ rline(X6)
| X4 != X7
| ~ rline(X7)
| X3 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(cnf_transformation,[],[f375]) ).
fof(f458,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[],[f7]) ).
fof(f459,plain,
ron(vd1185,vd1234),
inference(cnf_transformation,[],[f8]) ).
fof(f460,plain,
rline(vd1234),
inference(cnf_transformation,[],[f9]) ).
fof(f461,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f10]) ).
fof(f462,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f11]) ).
fof(f463,plain,
rline(vd1232),
inference(cnf_transformation,[],[f12]) ).
fof(f465,plain,
rS(vd1201,vd1187,vd1197),
inference(cnf_transformation,[],[f14]) ).
fof(f466,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f376]) ).
fof(f467,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f376]) ).
fof(f468,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f16]) ).
fof(f469,plain,
rline(vd1197),
inference(cnf_transformation,[],[f17]) ).
fof(f479,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f377]) ).
fof(f480,plain,
vd1185 = sK4,
inference(cnf_transformation,[],[f377]) ).
fof(f481,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f377]) ).
fof(f482,plain,
vd1186 = sK3,
inference(cnf_transformation,[],[f377]) ).
fof(f483,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f377]) ).
fof(f484,plain,
vd1187 = sK2,
inference(cnf_transformation,[],[f377]) ).
fof(f488,plain,
! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f159]) ).
fof(f495,plain,
ron(vd1186,vd1197),
inference(cnf_transformation,[],[f23]) ).
fof(f496,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f24]) ).
fof(f502,plain,
vd1186 = vd1200,
inference(cnf_transformation,[],[f30]) ).
fof(f510,plain,
vd1200 = sK8,
inference(cnf_transformation,[],[f380]) ).
fof(f556,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f207]) ).
fof(f604,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f271]) ).
fof(f605,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f273]) ).
fof(f758,plain,
vangle(sK3,sK4,sK1) != vplus(vangle(sK3,sK4,sK2),vangle(sK2,sK4,sK1)),
inference(definition_unfolding,[],[f451,f482,f480,f467,f482,f480,f484,f484,f480,f467]) ).
fof(f759,plain,
rS(sK8,sK2,vd1234),
inference(definition_unfolding,[],[f452,f510,f484]) ).
fof(f761,plain,
~ ron(sK1,vd1232),
inference(definition_unfolding,[],[f454,f467]) ).
fof(f762,plain,
ron(sK1,vd1234),
inference(definition_unfolding,[],[f458,f467]) ).
fof(f763,plain,
ron(sK4,vd1234),
inference(definition_unfolding,[],[f459,f480]) ).
fof(f764,plain,
ron(sK2,vd1232),
inference(definition_unfolding,[],[f461,f484]) ).
fof(f765,plain,
ron(sK4,vd1232),
inference(definition_unfolding,[],[f462,f480]) ).
fof(f767,plain,
rS(sK1,sK2,vd1197),
inference(definition_unfolding,[],[f465,f467,f484]) ).
fof(f768,plain,
~ ron(sK2,vd1197),
inference(definition_unfolding,[],[f468,f484]) ).
fof(f769,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK4,X0)
| ~ ron(sK2,X0) ),
inference(definition_unfolding,[],[f488,f484,f482,f480]) ).
fof(f780,plain,
ron(sK3,vd1197),
inference(definition_unfolding,[],[f495,f482]) ).
fof(f781,plain,
ron(sK4,vd1197),
inference(definition_unfolding,[],[f496,f480]) ).
fof(f787,plain,
sK3 = sK8,
inference(definition_unfolding,[],[f502,f482,f510]) ).
fof(f810,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X4)
| ~ rS(X1,X3,X6)
| X4 = X6
| ron(X3,X6)
| ron(X3,X4)
| X0 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X1,X4)
| ~ ron(X0,X6)
| ~ ron(X0,X4)
| ~ rline(X6)
| X4 != X7
| ~ rline(X7)
| X3 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f457]) ).
fof(f811,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X2,X3,X7)
| ~ rS(X1,X3,X6)
| X6 = X7
| ron(X3,X6)
| ron(X3,X7)
| X0 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X1,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| X3 != X8
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f810]) ).
fof(f812,plain,
! [X2,X10,X0,X11,X1,X8,X6,X9,X7] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X8),vangle(X8,X0,X2))
| ~ rS(X2,X8,X7)
| ~ rS(X1,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X0 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X1,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X8)
| X2 != X9
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f811]) ).
fof(f813,plain,
! [X10,X0,X11,X1,X8,X6,X9,X7] :
( vangle(X1,X0,X9) = vplus(vangle(X1,X0,X8),vangle(X8,X0,X9))
| ~ rS(X9,X8,X7)
| ~ rS(X1,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X0 = X9
| X0 = X1
| ~ ron(X9,X6)
| ~ ron(X1,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X10
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f812]) ).
fof(f814,plain,
! [X10,X0,X11,X8,X6,X9,X7] :
( vangle(X10,X0,X9) = vplus(vangle(X10,X0,X8),vangle(X8,X0,X9))
| ~ rS(X9,X8,X7)
| ~ rS(X10,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X0 = X9
| X0 = X10
| ~ ron(X9,X6)
| ~ ron(X10,X7)
| ~ ron(X0,X6)
| ~ ron(X0,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X0 != X11
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f813]) ).
fof(f815,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ rline(X7)
| ~ rS(X9,X8,X7)
| ~ rS(X10,X8,X6)
| X6 = X7
| ron(X8,X6)
| ron(X8,X7)
| X9 = X11
| X10 = X11
| ~ ron(X9,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X6)
| ~ ron(X11,X7)
| ~ rline(X6)
| vangle(X10,X11,X9) = vplus(vangle(X10,X11,X8),vangle(X8,X11,X9))
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11) ),
inference(equality_resolution,[],[f814]) ).
fof(f840,plain,
! [X3,X0,X1,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X1,X3)
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f492]) ).
fof(f841,plain,
! [X3,X0,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X4,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f840]) ).
fof(f842,plain,
! [X3,X4,X5] :
( ~ rline(X3)
| ~ rS(X5,X4,X3)
| ~ ron(X5,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f841]) ).
fof(f935,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f556]) ).
fof(f936,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X5)
| rR(X0,X1,X5)
| rR(X5,X0,X1)
| ~ ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X5
| X0 = X5
| X0 = X1
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f935]) ).
fof(f937,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X5)
| rR(X0,X6,X5)
| rR(X5,X0,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X5 = X6
| X0 = X5
| X0 = X6
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f936]) ).
fof(f938,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| rR(X7,X6,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| rR(X6,X7,X5)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f937]) ).
fof(f1119,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f604]) ).
fof(f1120,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1119]) ).
fof(f1121,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1120]) ).
fof(f1122,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1121]) ).
fof(f1123,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f605]) ).
fof(f1124,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1123]) ).
fof(f1125,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1126,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ron(X5,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1125]) ).
fof(f1600,plain,
rS(sK3,sK2,vd1234),
inference(forward_demodulation,[],[f759,f787]) ).
fof(f1609,definition,
( spl58_16
<=> ron(sK2,vd1234) ),
introduced(definition,[new_symbols(definition,[spl58_16])],[avatar_definition]) ).
fof(f1610,plain,
( ~ ron(sK2,vd1234)
| spl58_16 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f1612,definition,
( spl58_17
<=> ron(sK3,vd1234) ),
introduced(definition,[new_symbols(definition,[spl58_17])],[avatar_definition]) ).
fof(f1613,plain,
( ~ ron(sK3,vd1234)
| spl58_17 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f1615,plain,
( ~ ron(sK3,vd1232)
| ~ ron(sK4,vd1232)
| ~ ron(sK2,vd1232) ),
inference(resolution,[],[f463,f769]) ).
fof(f1618,plain,
( ~ ron(sK3,vd1232)
| ~ ron(sK2,vd1232) ),
inference(forward_subsumption_resolution,[],[f1615,f765]) ).
fof(f1619,plain,
~ ron(sK3,vd1232),
inference(forward_subsumption_resolution,[],[f1618,f764]) ).
fof(f1630,plain,
! [X2,X3,X0,X1,X4] :
( ~ rS(X0,X1,vd1197)
| ~ rS(X2,X1,X3)
| vd1197 = X3
| ron(X1,X3)
| ron(X1,vd1197)
| X0 = X4
| X2 = X4
| ~ ron(X0,X3)
| ~ ron(X2,vd1197)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ rline(X3)
| vangle(X2,X4,X0) = vplus(vangle(X2,X4,X1),vangle(X1,X4,X0))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f469,f815]) ).
fof(f1643,definition,
( spl58_19
<=> sK3 = sK4 ),
introduced(definition,[new_symbols(definition,[spl58_19])],[avatar_definition]) ).
fof(f1644,plain,
( sK3 = sK4
| ~ spl58_19 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f1709,plain,
( ~ ron(sK4,vd1232)
| ~ spl58_19 ),
inference(superposition,[],[f1619,f1644]) ).
fof(f1713,plain,
( $false
| ~ spl58_19 ),
inference(forward_subsumption_resolution,[],[f1709,f765]) ).
fof(f1714,plain,
~ spl58_19,
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ rS(X0,X1,vd1234)
| ~ ron(X0,vd1234)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f842,f460]) ).
fof(f1805,plain,
( ~ ron(sK3,vd1234)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1776,f1600]) ).
fof(f1806,plain,
( ~ ron(sK3,vd1234)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1805,f483]) ).
fof(f1807,plain,
~ ron(sK3,vd1234),
inference(forward_subsumption_resolution,[],[f1806,f481]) ).
fof(f1808,plain,
~ spl58_17,
inference(avatar_split_clause,[],[f1807,f1612]) ).
fof(f1892,definition,
( spl58_21
<=> sK2 = sK4 ),
introduced(definition,[new_symbols(definition,[spl58_21])],[avatar_definition]) ).
fof(f1893,plain,
( sK2 = sK4
| ~ spl58_21 ),
inference(avatar_component_clause,[],[f1892]) ).
fof(f1959,definition,
( spl58_29
<=> sK1 = sK4 ),
introduced(definition,[new_symbols(definition,[spl58_29])],[avatar_definition]) ).
fof(f1960,plain,
( sK1 = sK4
| ~ spl58_29 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f2064,plain,
( ~ ron(sK4,vd1232)
| ~ spl58_29 ),
inference(superposition,[],[f761,f1960]) ).
fof(f2081,plain,
( $false
| ~ spl58_29 ),
inference(forward_subsumption_resolution,[],[f2064,f765]) ).
fof(f2082,plain,
~ spl58_29,
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2100,definition,
( spl58_42
<=> vd1234 = vd1197 ),
introduced(definition,[new_symbols(definition,[spl58_42])],[avatar_definition]) ).
fof(f2101,plain,
( vd1234 = vd1197
| ~ spl58_42 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2230,plain,
( ~ ron(sK4,vd1197)
| ~ spl58_21 ),
inference(superposition,[],[f768,f1893]) ).
fof(f2244,plain,
( $false
| ~ spl58_21 ),
inference(forward_subsumption_resolution,[],[f2230,f781]) ).
fof(f2245,plain,
~ spl58_21,
inference(avatar_contradiction_clause,[],[f2244]) ).
fof(f2348,plain,
( ron(sK2,vd1234)
| ~ spl58_16 ),
inference(avatar_component_clause,[],[f1609]) ).
fof(f2394,definition,
( spl58_56
<=> sK1 = sK2 ),
introduced(definition,[new_symbols(definition,[spl58_56])],[avatar_definition]) ).
fof(f2395,plain,
( sK1 = sK2
| ~ spl58_56 ),
inference(avatar_component_clause,[],[f2394]) ).
fof(f2427,plain,
( ~ ron(sK3,vd1197)
| spl58_17
| ~ spl58_42 ),
inference(superposition,[],[f1613,f2101]) ).
fof(f2447,plain,
( $false
| spl58_17
| ~ spl58_42 ),
inference(forward_subsumption_resolution,[],[f2427,f780]) ).
fof(f2448,plain,
( spl58_17
| ~ spl58_42 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2471,plain,
( ron(sK1,vd1232)
| ~ spl58_56 ),
inference(superposition,[],[f764,f2395]) ).
fof(f2480,plain,
( $false
| ~ spl58_56 ),
inference(forward_subsumption_resolution,[],[f2471,f761]) ).
fof(f2481,plain,
~ spl58_56,
inference(avatar_contradiction_clause,[],[f2480]) ).
fof(f2694,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK2,X1)
| vd1197 = X1
| ron(sK2,X1)
| ron(sK2,vd1197)
| sK1 = X2
| X0 = X2
| ~ ron(sK1,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK1) = vplus(vangle(X0,X2,sK2),vangle(sK2,X2,sK1))
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1630,f767]) ).
fof(f2697,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK2,X1)
| vd1197 = X1
| ron(sK2,X1)
| sK1 = X2
| X0 = X2
| ~ ron(sK1,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK1) = vplus(vangle(X0,X2,sK2),vangle(sK2,X2,sK1))
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2694,f768]) ).
fof(f2699,plain,
! [X2,X0,X1] :
( ~ rS(X0,sK2,X1)
| vd1197 = X1
| ron(sK2,X1)
| sK1 = X2
| X0 = X2
| ~ ron(sK1,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK1) = vplus(vangle(X0,X2,sK2),vangle(sK2,X2,sK1))
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2697,f483]) ).
fof(f2707,plain,
! [X2,X0,X1] :
( ~ ron(sK1,X1)
| vd1197 = X1
| ron(sK2,X1)
| sK1 = X2
| X0 = X2
| ~ rS(X0,sK2,X1)
| ~ ron(X0,vd1197)
| ~ ron(X2,X1)
| ~ ron(X2,vd1197)
| ~ rline(X1)
| vangle(X0,X2,sK1) = vplus(vangle(X0,X2,sK2),vangle(sK2,X2,sK1))
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2699,f466]) ).
fof(f2708,plain,
! [X0,X1] :
( vd1234 = vd1197
| ron(sK2,vd1234)
| sK1 = X0
| X0 = X1
| ~ rS(X1,sK2,vd1234)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(X0,vd1197)
| ~ rline(vd1234)
| vangle(X1,X0,sK1) = vplus(vangle(X1,X0,sK2),vangle(sK2,X0,sK1))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f2707,f762]) ).
fof(f2816,plain,
( ! [X0,X1] :
( vd1234 = vd1197
| sK1 = X0
| X0 = X1
| ~ rS(X1,sK2,vd1234)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(X0,vd1197)
| ~ rline(vd1234)
| vangle(X1,X0,sK1) = vplus(vangle(X1,X0,sK2),vangle(sK2,X0,sK1))
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl58_16 ),
inference(forward_subsumption_resolution,[],[f2708,f1610]) ).
fof(f2817,plain,
( ! [X0,X1] :
( vd1234 = vd1197
| sK1 = X0
| X0 = X1
| ~ rS(X1,sK2,vd1234)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(X0,vd1197)
| vangle(X1,X0,sK1) = vplus(vangle(X1,X0,sK2),vangle(sK2,X0,sK1))
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl58_16 ),
inference(forward_subsumption_resolution,[],[f2816,f460]) ).
fof(f2819,definition,
( spl58_68
<=> ! [X0,X1] :
( sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X1,X0,sK1) = vplus(vangle(X1,X0,sK2),vangle(sK2,X0,sK1))
| ~ ron(X0,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(X1,vd1197)
| ~ rS(X1,sK2,vd1234)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl58_68])],[avatar_definition]) ).
fof(f2820,plain,
( ! [X0,X1] :
( ~ rS(X1,sK2,vd1234)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(X1,X0,sK1) = vplus(vangle(X1,X0,sK2),vangle(sK2,X0,sK1))
| ~ ron(X0,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(X1,vd1197)
| sK1 = X0
| X0 = X1 )
| ~ spl58_68 ),
inference(avatar_component_clause,[],[f2819]) ).
fof(f2821,plain,
( spl58_68
| spl58_42
| spl58_16 ),
inference(avatar_split_clause,[],[f2817,f1609,f2100,f2819]) ).
fof(f2895,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(sK3)
| vangle(sK3,X0,sK1) = vplus(vangle(sK3,X0,sK2),vangle(sK2,X0,sK1))
| ~ ron(X0,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(sK3,vd1197)
| sK1 = X0
| sK3 = X0 )
| ~ spl58_68 ),
inference(resolution,[],[f2820,f1600]) ).
fof(f2896,plain,
( ! [X0] :
( ~ rpoint(X0)
| vangle(sK3,X0,sK1) = vplus(vangle(sK3,X0,sK2),vangle(sK2,X0,sK1))
| ~ ron(X0,vd1197)
| ~ ron(X0,vd1234)
| ~ ron(sK3,vd1197)
| sK1 = X0
| sK3 = X0 )
| ~ spl58_68 ),
inference(forward_subsumption_resolution,[],[f2895,f481]) ).
fof(f2897,plain,
( ! [X0] :
( ~ ron(X0,vd1234)
| vangle(sK3,X0,sK1) = vplus(vangle(sK3,X0,sK2),vangle(sK2,X0,sK1))
| ~ ron(X0,vd1197)
| ~ rpoint(X0)
| sK1 = X0
| sK3 = X0 )
| ~ spl58_68 ),
inference(forward_subsumption_resolution,[],[f2896,f780]) ).
fof(f2899,plain,
( vangle(sK3,sK4,sK1) = vplus(vangle(sK3,sK4,sK2),vangle(sK2,sK4,sK1))
| ~ ron(sK4,vd1197)
| ~ rpoint(sK4)
| sK1 = sK4
| sK3 = sK4
| ~ spl58_68 ),
inference(resolution,[],[f2897,f763]) ).
fof(f2900,plain,
( ~ ron(sK4,vd1197)
| ~ rpoint(sK4)
| sK1 = sK4
| sK3 = sK4
| ~ spl58_68 ),
inference(forward_subsumption_resolution,[],[f2899,f758]) ).
fof(f2901,plain,
( ~ rpoint(sK4)
| sK1 = sK4
| sK3 = sK4
| ~ spl58_68 ),
inference(forward_subsumption_resolution,[],[f2900,f781]) ).
fof(f2902,plain,
( sK1 = sK4
| sK3 = sK4
| ~ spl58_68 ),
inference(forward_subsumption_resolution,[],[f2901,f479]) ).
fof(f2903,plain,
( spl58_19
| spl58_29
| ~ spl58_68 ),
inference(avatar_split_clause,[],[f2902,f2819,f1959,f1643]) ).
fof(f3016,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1234)
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,vd1234)
| ~ ron(X0,vd1234)
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f938,f460]) ).
fof(f3019,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| rR(X0,X1,sK1)
| ~ ron(X1,vd1234)
| ~ ron(X0,vd1234)
| rR(X1,X0,sK1)
| sK1 = X1
| sK1 = X0
| X0 = X1
| ~ rpoint(sK1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f3016,f762]) ).
fof(f3024,plain,
! [X0,X1] :
( ~ ron(X1,vd1234)
| rR(X0,X1,sK1)
| rR(sK1,X0,X1)
| ~ ron(X0,vd1234)
| rR(X1,X0,sK1)
| sK1 = X1
| sK1 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3019,f466]) ).
fof(f3041,plain,
! [X0] :
( rR(X0,sK4,sK1)
| rR(sK1,X0,sK4)
| ~ ron(X0,vd1234)
| rR(sK4,X0,sK1)
| sK1 = sK4
| sK1 = X0
| sK4 = X0
| ~ rpoint(sK4)
| ~ rpoint(X0) ),
inference(resolution,[],[f3024,f763]) ).
fof(f3045,plain,
! [X0] :
( rR(X0,sK4,sK1)
| rR(sK1,X0,sK4)
| ~ ron(X0,vd1234)
| rR(sK4,X0,sK1)
| sK1 = sK4
| sK1 = X0
| sK4 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3041,f479]) ).
fof(f3051,definition,
( spl58_75
<=> ! [X0] :
( rR(X0,sK4,sK1)
| ~ rpoint(X0)
| sK4 = X0
| sK1 = X0
| rR(sK4,X0,sK1)
| ~ ron(X0,vd1234)
| rR(sK1,X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl58_75])],[avatar_definition]) ).
fof(f3052,plain,
( ! [X0] :
( ~ ron(X0,vd1234)
| ~ rpoint(X0)
| sK4 = X0
| sK1 = X0
| rR(sK4,X0,sK1)
| rR(X0,sK4,sK1)
| rR(sK1,X0,sK4) )
| ~ spl58_75 ),
inference(avatar_component_clause,[],[f3051]) ).
fof(f3053,plain,
( spl58_29
| spl58_75 ),
inference(avatar_split_clause,[],[f3045,f3051,f1959]) ).
fof(f3056,plain,
( ~ rpoint(sK2)
| sK2 = sK4
| sK1 = sK2
| rR(sK4,sK2,sK1)
| rR(sK2,sK4,sK1)
| rR(sK1,sK2,sK4)
| ~ spl58_16
| ~ spl58_75 ),
inference(resolution,[],[f3052,f2348]) ).
fof(f3170,plain,
( sK2 = sK4
| sK1 = sK2
| rR(sK4,sK2,sK1)
| rR(sK2,sK4,sK1)
| rR(sK1,sK2,sK4)
| ~ spl58_16
| ~ spl58_75 ),
inference(forward_subsumption_resolution,[],[f3056,f483]) ).
fof(f3173,definition,
( spl58_80
<=> rR(sK1,sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl58_80])],[avatar_definition]) ).
fof(f3174,plain,
( rR(sK1,sK2,sK4)
| ~ spl58_80 ),
inference(avatar_component_clause,[],[f3173]) ).
fof(f3176,definition,
( spl58_81
<=> rR(sK2,sK4,sK1) ),
introduced(definition,[new_symbols(definition,[spl58_81])],[avatar_definition]) ).
fof(f3177,plain,
( rR(sK2,sK4,sK1)
| ~ spl58_81 ),
inference(avatar_component_clause,[],[f3176]) ).
fof(f3179,definition,
( spl58_82
<=> rR(sK4,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl58_82])],[avatar_definition]) ).
fof(f3180,plain,
( rR(sK4,sK2,sK1)
| ~ spl58_82 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f3181,plain,
( spl58_80
| spl58_81
| spl58_82
| spl58_56
| spl58_21
| ~ spl58_16
| ~ spl58_75 ),
inference(avatar_split_clause,[],[f3170,f3051,f1609,f1892,f2394,f3179,f3176,f3173]) ).
fof(f3186,plain,
( $false
| ~ spl58_80 ),
inference(unit_resulting_resolution,[],[f1122,f483,f466,f479,f463,f761,f764,f765,f3174]) ).
fof(f3189,plain,
~ spl58_80,
inference(avatar_contradiction_clause,[],[f3186]) ).
fof(f3200,plain,
( $false
| ~ spl58_82 ),
inference(unit_resulting_resolution,[],[f1126,f483,f479,f466,f463,f761,f764,f765,f3180]) ).
fof(f3203,plain,
~ spl58_82,
inference(avatar_contradiction_clause,[],[f3200]) ).
fof(f3213,plain,
( $false
| ~ spl58_81 ),
inference(unit_resulting_resolution,[],[f1126,f479,f483,f466,f463,f761,f765,f764,f3177]) ).
fof(f3216,plain,
~ spl58_81,
inference(avatar_contradiction_clause,[],[f3213]) ).
cnf(s22,plain,
~ spl58_19,
inference(sat_conversion,[],[f1714]) ).
cnf(s23,plain,
~ spl58_17,
inference(sat_conversion,[],[f1808]) ).
cnf(s41,plain,
~ spl58_29,
inference(sat_conversion,[],[f2082]) ).
cnf(s52,plain,
~ spl58_21,
inference(sat_conversion,[],[f2245]) ).
cnf(s64,plain,
( spl58_17
| ~ spl58_42 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s68,plain,
~ spl58_56,
inference(sat_conversion,[],[f2481]) ).
cnf(s80,plain,
( spl58_16
| spl58_42
| spl58_68 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s83,plain,
( spl58_19
| spl58_29
| ~ spl58_68 ),
inference(sat_conversion,[],[f2903]) ).
cnf(s90,plain,
( spl58_29
| spl58_75 ),
inference(sat_conversion,[],[f3053]) ).
cnf(s97,plain,
( ~ spl58_16
| spl58_21
| spl58_56
| ~ spl58_75
| spl58_80
| spl58_81
| spl58_82 ),
inference(sat_conversion,[],[f3181]) ).
cnf(s99,plain,
~ spl58_80,
inference(sat_conversion,[],[f3189]) ).
cnf(s101,plain,
~ spl58_82,
inference(sat_conversion,[],[f3203]) ).
cnf(s103,plain,
~ spl58_81,
inference(sat_conversion,[],[f3216]) ).
cnf(s105,plain,
( ~ spl58_16
| spl58_21
| spl58_56
| ~ spl58_75 ),
inference(rat,[],[s97,s101,s103,s99]) ).
cnf(s121,plain,
spl58_75,
inference(rat,[],[s90,s41]) ).
cnf(s125,plain,
~ spl58_16,
inference(rat,[],[s105,s52,s68,s121]) ).
cnf(s133,plain,
~ spl58_42,
inference(rat,[],[s64,s23]) ).
cnf(s134,plain,
spl58_68,
inference(rat,[],[s80,s125,s133]) ).
cnf(s137,plain,
spl58_19,
inference(rat,[],[s83,s41,s134]) ).
cnf(s138,plain,
$false,
inference(rat,[],[s22,s137]) ).
fof(f3222,plain,
$false,
inference(avatar_sat_refutation,[],[s138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO295+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 08:00:10 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 7.79/2.31 % (2670830)Detected formulas, will run a generic FOF schedule.
% 7.79/2.31 % (2670839)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=475425182:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.79/2.31 % (2670839)Instruction limit reached!
% 7.79/2.31 % (2670839)------------------------------
% 7.79/2.31 % (2670839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670839)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670839)Termination reason: Instruction limit
% 7.79/2.31 % (2670839)Termination phase: Saturation
% 7.79/2.31 % (2670839)Time elapsed: 0.032 s
% 7.79/2.31 % (2670839)Peak memory usage: 89 MB
% 7.79/2.31 % (2670839)Instructions burned: 125 (million)
% 7.79/2.31 % (2670840)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4229814230:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.79/2.31 % (2670835)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=2118116768:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.79/2.31 % (2670841)dis-21_1_sil=8000:lcm=predicate:random_seed=1946895787: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)
% 7.79/2.31 % (2670836)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=1948948331:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.79/2.31 % (2670838)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3231545403:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.79/2.31 % (2670837)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=2527093902:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.79/2.31 % (2670838)Refutation not found, incomplete strategy
% 7.79/2.31 % (2670838)------------------------------
% 7.79/2.31 % (2670838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670838)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670838)Termination reason: Refutation not found, incomplete strategy
% 7.79/2.31 % (2670838)Time elapsed: 0.003 s
% 7.79/2.31 % (2670838)Peak memory usage: 89 MB
% 7.79/2.31 % (2670838)Instructions burned: 2 (million)
% 7.79/2.31 % (2670840)Instruction limit reached!
% 7.79/2.31 % (2670840)------------------------------
% 7.79/2.31 % (2670840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670840)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670840)Termination reason: Instruction limit
% 7.79/2.31 % (2670840)Termination phase: Saturation
% 7.79/2.31 % (2670840)Time elapsed: 0.047 s
% 7.79/2.31 % (2670840)Peak memory usage: 90 MB
% 7.79/2.31 % (2670840)Instructions burned: 139 (million)
% 7.79/2.31 % (2670841)Instruction limit reached!
% 7.79/2.31 % (2670841)------------------------------
% 7.79/2.31 % (2670841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670841)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670841)Termination reason: Instruction limit
% 7.79/2.31 % (2670841)Termination phase: Saturation
% 7.79/2.31 % (2670841)Time elapsed: 0.069 s
% 7.79/2.31 % (2670841)Peak memory usage: 90 MB
% 7.79/2.31 % (2670841)Instructions burned: 130 (million)
% 7.79/2.31 % (2670843)lrs+10_1_sil=8000:sp=occurrence:random_seed=3862363712:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.79/2.31 % (2670850)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4126361830:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.79/2.31 % (2670850)Refutation not found, incomplete strategy
% 7.79/2.31 % (2670850)------------------------------
% 7.79/2.31 % (2670850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670850)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670850)Termination reason: Refutation not found, incomplete strategy
% 7.79/2.31 % (2670850)Time elapsed: 0.003 s
% 7.79/2.31 % (2670850)Peak memory usage: 89 MB
% 7.79/2.31 % (2670850)Instructions burned: 6 (million)
% 7.79/2.31 % (2670851)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2489984545:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.79/2.31 % (2670838)------------------------------
% 7.79/2.31 % (2670838)------------------------------
% 7.79/2.31 % (2670843)Instruction limit reached!
% 7.79/2.31 % (2670843)------------------------------
% 7.79/2.31 % (2670843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670843)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670843)Termination reason: Instruction limit
% 7.79/2.31 % (2670843)Termination phase: Saturation
% 7.79/2.31 % (2670843)Time elapsed: 0.148 s
% 7.79/2.31 % (2670843)Peak memory usage: 91 MB
% 7.79/2.31 % (2670843)Instructions burned: 286 (million)
% 7.79/2.31 % (2670850)------------------------------
% 7.79/2.31 % (2670850)------------------------------
% 7.79/2.31 % (2670851)Instruction limit reached!
% 7.79/2.31 % (2670851)------------------------------
% 7.79/2.31 % (2670851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670851)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670851)Termination reason: Instruction limit
% 7.79/2.31 % (2670851)Termination phase: Saturation
% 7.79/2.31 % (2670851)Time elapsed: 0.155 s
% 7.79/2.31 % (2670851)Peak memory usage: 89 MB
% 7.79/2.31 % (2670851)Instructions burned: 327 (million)
% 7.79/2.31 % (2670855)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=299133601:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.79/2.31 % (2670857)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1044020893:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.79/2.31 % (2670856)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2094166354:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.79/2.31 % (2670855)Instruction limit reached!
% 7.79/2.31 % (2670855)------------------------------
% 7.79/2.31 % (2670855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670855)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670855)Termination reason: Instruction limit
% 7.79/2.31 % (2670855)Termination phase: Saturation
% 7.79/2.31 % (2670855)Time elapsed: 0.126 s
% 7.79/2.31 % (2670855)Peak memory usage: 90 MB
% 7.79/2.31 % (2670855)Instructions burned: 249 (million)
% 7.79/2.31 % (2670858)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3873818714:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.79/2.31 % (2670858)Instruction limit reached!
% 7.79/2.31 % (2670858)------------------------------
% 7.79/2.31 % (2670858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670858)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670858)Termination reason: Instruction limit
% 7.79/2.31 % (2670858)Termination phase: Saturation
% 7.79/2.31 % (2670858)Time elapsed: 0.061 s
% 7.79/2.31 % (2670858)Peak memory usage: 90 MB
% 7.79/2.31 % (2670858)Instructions burned: 114 (million)
% 7.79/2.31 % (2670856)Instruction limit reached!
% 7.79/2.31 % (2670856)------------------------------
% 7.79/2.31 % (2670856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670856)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670856)Termination reason: Instruction limit
% 7.79/2.31 % (2670856)Termination phase: Saturation
% 7.79/2.31 % (2670856)Time elapsed: 0.162 s
% 7.79/2.31 % (2670856)Peak memory usage: 89 MB
% 7.79/2.31 % (2670856)Instructions burned: 295 (million)
% 7.79/2.31 % (2670862)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2068083200:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.79/2.31 % (2670862)Refutation not found, incomplete strategy
% 7.79/2.31 % (2670862)------------------------------
% 7.79/2.31 % (2670862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670862)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670862)Termination reason: Refutation not found, incomplete strategy
% 7.79/2.31 % (2670862)Time elapsed: 0.022 s
% 7.79/2.31 % (2670862)Peak memory usage: 89 MB
% 7.79/2.31 % (2670862)Instructions burned: 43 (million)
% 7.79/2.31 % (2670864)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3379161330:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.79/2.31 % (2670865)lrs+10_1_sil=8000:sp=occurrence:random_seed=542761854:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.79/2.31 % (2670864)Instruction limit reached!
% 7.79/2.31 % (2670864)------------------------------
% 7.79/2.31 % (2670864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670864)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670864)Termination reason: Instruction limit
% 7.79/2.31 % (2670864)Termination phase: Saturation
% 7.79/2.31 % (2670864)Time elapsed: 0.058 s
% 7.79/2.31 % (2670864)Peak memory usage: 89 MB
% 7.79/2.31 % (2670864)Instructions burned: 116 (million)
% 7.79/2.31 % (2670862)------------------------------
% 7.79/2.31 % (2670862)------------------------------
% 7.79/2.31 % (2670869)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=437431796:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.79/2.31 % (2670869)Refutation not found, incomplete strategy
% 7.79/2.31 % (2670869)------------------------------
% 7.79/2.31 % (2670869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670869)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670869)Termination reason: Refutation not found, incomplete strategy
% 7.79/2.31 % (2670869)Time elapsed: 0.017 s
% 7.79/2.31 % (2670869)Peak memory usage: 89 MB
% 7.79/2.31 % (2670869)Instructions burned: 31 (million)
% 7.79/2.31 % (2670836)First to succeed.
% 7.79/2.31 % (2670836)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2670830"
% 7.79/2.31 % (2670857)Also succeeded, but the first one will report.
% 7.79/2.31 % (2670835)Also succeeded, but the first one will report.
% 7.79/2.31 % (2670870)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=529678119:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 7.79/2.31 % (2670869)------------------------------
% 7.79/2.31 % (2670869)------------------------------
% 7.79/2.31 % (2670865)Instruction limit reached!
% 7.79/2.31 % (2670865)------------------------------
% 7.79/2.31 % (2670865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.79/2.31 % (2670865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/2.31 % (2670865)CaDiCaL version: 2.1.3
% 7.79/2.31 % (2670865)Termination reason: Instruction limit
% 7.79/2.31 % (2670865)Termination phase: Saturation
% 7.79/2.31 % (2670865)Time elapsed: 0.468 s
% 7.79/2.31 % (2670865)Peak memory usage: 96 MB
% 7.79/2.31 % (2670865)Instructions burned: 909 (million)
% 7.79/2.31 % (2670836)Refutation found. Thanks to Tanya!
% 7.79/2.31 % SZS status Theorem for theBenchmark
% 7.79/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.40 % (2670836)------------------------------
% 0.15/2.40 % (2670836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.40 % (2670836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.40 % (2670836)CaDiCaL version: 2.1.3
% 0.15/2.40 % (2670836)Termination reason: Refutation
% 0.15/2.40 % (2670836)Time elapsed: 1.019 s
% 0.15/2.40 % (2670836)Peak memory usage: 134 MB
% 0.15/2.40 % (2670836)Instructions burned: 1551 (million)
% 0.15/2.40 % (2670836)------------------------------
% 0.15/2.40 % (2670836)------------------------------
% 0.15/2.40 % (2670830)Success in time 1.471 s
% 0.15/2.40 % Vampire exiting
%------------------------------------------------------------------------------