%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO301+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:23 AM UTC 2026
% Result : ContradictoryAxioms 46.67s 7.47s
% Output : Refutation 47.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 235 ( 47 unt; 9 def)
% Number of atoms : 1660 ( 510 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 2469 (1044 ~;1250 |; 152 &)
% ( 15 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 599 ( 0 sgn 560 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f40,axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof(f41,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f42,axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f43,axiom,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f50,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f54,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f57,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f62,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f66,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f143,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f231,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,[],[f43]) ).
fof(f232,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f233,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f232]) ).
fof(f238,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,[],[f47]) ).
fof(f239,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,[],[f238]) ).
fof(f244,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,[],[f50]) ).
fof(f245,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,[],[f244]) ).
fof(f252,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f253,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f252]) ).
fof(f258,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f259,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f258]) ).
fof(f272,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,[],[f66]) ).
fof(f273,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,[],[f272]) ).
fof(f338,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(f339,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,[],[f338]) ).
fof(f420,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,[],[f143]) ).
fof(f421,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,[],[f420]) ).
fof(f438,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)],[f231]) ).
fof(f443,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( 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,[],[f239]) ).
fof(f444,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( 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,[],[f443]) ).
fof(f445,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,[],[f245]) ).
fof(f446,plain,
! [X0,X1] :
( ( ron(X1,sK10(X0,X1))
& ron(X0,sK10(X0,X1))
& rline(sK10(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f445]) ).
fof(f447,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f253]) ).
fof(f548,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f39]) ).
fof(f549,plain,
ron(vd1186,vd1197),
inference(cnf_transformation,[],[f40]) ).
fof(f550,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f41]) ).
fof(f551,plain,
rline(vd1197),
inference(cnf_transformation,[],[f42]) ).
fof(f552,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f438]) ).
fof(f553,plain,
vd1178 = sK6,
inference(cnf_transformation,[],[f438]) ).
fof(f554,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f438]) ).
fof(f555,plain,
vd1179 = sK5,
inference(cnf_transformation,[],[f438]) ).
fof(f558,plain,
vd1179 != vd1178,
inference(cnf_transformation,[],[f438]) ).
fof(f561,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f438]) ).
fof(f562,plain,
vd1185 = sK3,
inference(cnf_transformation,[],[f438]) ).
fof(f563,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f438]) ).
fof(f564,plain,
vd1186 = sK2,
inference(cnf_transformation,[],[f438]) ).
fof(f565,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f438]) ).
fof(f566,plain,
vd1187 = sK1,
inference(cnf_transformation,[],[f438]) ).
fof(f567,plain,
vf(vd1178,vd1179) = vf(vd1185,vd1186),
inference(cnf_transformation,[],[f438]) ).
fof(f570,plain,
! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f438]) ).
fof(f571,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X2,X1,X0) = vangle(X0,X1,X2)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f233]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( 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(cnf_transformation,[],[f444]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( 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(cnf_transformation,[],[f444]) ).
fof(f594,plain,
! [X3,X0,X1,X4] :
( rline(sK10(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f446]) ).
fof(f595,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK10(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f446]) ).
fof(f596,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK10(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f446]) ).
fof(f600,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f447]) ).
fof(f601,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f447]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f259]) ).
fof(f610,plain,
v0 = vd684,
inference(cnf_transformation,[],[f62]) ).
fof(f617,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,[],[f273]) ).
fof(f666,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,[],[f339]) ).
fof(f792,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,[],[f421]) ).
fof(f841,plain,
~ ron(sK1,vd1197),
inference(definition_unfolding,[],[f548,f566]) ).
fof(f842,plain,
ron(sK2,vd1197),
inference(definition_unfolding,[],[f549,f564]) ).
fof(f843,plain,
ron(sK3,vd1197),
inference(definition_unfolding,[],[f550,f562]) ).
fof(f844,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) ),
inference(definition_unfolding,[],[f570,f566,f564,f562]) ).
fof(f847,plain,
vf(sK6,sK5) = vf(sK3,sK2),
inference(definition_unfolding,[],[f567,f553,f555,f562,f564]) ).
fof(f850,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f558,f555,f553]) ).
fof(f852,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != vd684
| ~ 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,[],[f590,f610]) ).
fof(f853,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f589,f610]) ).
fof(f854,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f601,f610]) ).
fof(f855,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f600,f610]) ).
fof(f1004,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X3,X1,X0) = vangle(X0,X1,X3)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f571]) ).
fof(f1005,plain,
! [X3,X0,X4,X5] :
( vangle(X3,X4,X0) = vangle(X0,X4,X3)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1004]) ).
fof(f1006,plain,
! [X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1005]) ).
fof(f1048,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(X4,X7)
| vangle(X2,X0,X4) != vd684
| ~ 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,[],[f852]) ).
fof(f1049,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X2,X0,X5)
| ~ 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,[],[f1048]) ).
fof(f1050,plain,
! [X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X3,X0,X5)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1049]) ).
fof(f1051,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1050]) ).
fof(f1052,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| rR(X0,X2,X4)
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f853]) ).
fof(f1053,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,[],[f1052]) ).
fof(f1054,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,[],[f1053]) ).
fof(f1055,plain,
! [X3,X1,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1063,plain,
! [X3,X0,X4] :
( ron(X3,sK10(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f596]) ).
fof(f1064,plain,
! [X3,X4] :
( ron(X3,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1065,plain,
! [X3,X0,X4] :
( ron(X0,sK10(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f595]) ).
fof(f1066,plain,
! [X3,X4] :
( ron(X4,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1065]) ).
fof(f1067,plain,
! [X3,X0,X4] :
( rline(sK10(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f594]) ).
fof(f1068,plain,
! [X3,X4] :
( rline(sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1067]) ).
fof(f1081,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f854]) ).
fof(f1082,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1081]) ).
fof(f1083,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1082]) ).
fof(f1084,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f855]) ).
fof(f1085,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1084]) ).
fof(f1094,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f604]) ).
fof(f1095,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1094]) ).
fof(f1122,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,[],[f617]) ).
fof(f1123,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1122]) ).
fof(f1124,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1123]) ).
fof(f1125,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1315,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,[],[f666]) ).
fof(f1316,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,[],[f1315]) ).
fof(f1317,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,[],[f1316]) ).
fof(f1318,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1317]) ).
fof(f1647,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,[],[f792]) ).
fof(f1648,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,[],[f1647]) ).
fof(f1649,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,[],[f1648]) ).
fof(f1650,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,[],[f1649]) ).
fof(f1651,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,[],[f1650]) ).
fof(f1652,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,[],[f1651]) ).
fof(f1653,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| 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)
| ~ ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1652]) ).
fof(f1708,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1125]) ).
fof(f1709,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f1083]) ).
fof(f1996,plain,
vd684 != vf(sK6,sK5),
inference(unit_resulting_resolution,[],[f1085,f552,f554,f850]) ).
fof(f2016,plain,
vd684 != vf(sK3,sK2),
inference(forward_demodulation,[],[f1996,f847]) ).
fof(f2026,definition,
( spl54_16
<=> sK1 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_16])],[avatar_definition]) ).
fof(f2027,plain,
( sK1 != sK2
| spl54_16 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2028,plain,
( sK1 = sK2
| ~ spl54_16 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2049,plain,
vf(sK3,sK2) = vf(sK2,sK3),
inference(unit_resulting_resolution,[],[f1095,f563,f561]) ).
fof(f2085,plain,
vd684 != vf(sK2,sK3),
inference(backward_demodulation,[],[f2016,f2049]) ).
fof(f2119,plain,
vd684 = vf(sK2,sK2),
inference(unit_resulting_resolution,[],[f1709,f563]) ).
fof(f2164,definition,
( spl54_20
<=> vd684 = vangle(sK2,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_20])],[avatar_definition]) ).
fof(f2165,plain,
( vd684 != vangle(sK2,sK3,sK1)
| spl54_20 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2166,plain,
( vd684 = vangle(sK2,sK3,sK1)
| ~ spl54_20 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2512,definition,
( spl54_24
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_24])],[avatar_definition]) ).
fof(f2513,plain,
( sK1 != sK3
| spl54_24 ),
inference(avatar_component_clause,[],[f2512]) ).
fof(f2514,plain,
( sK1 = sK3
| ~ spl54_24 ),
inference(avatar_component_clause,[],[f2512]) ).
fof(f2520,definition,
( spl54_26
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_26])],[avatar_definition]) ).
fof(f2521,plain,
( sK2 != sK3
| spl54_26 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f2522,plain,
( sK2 = sK3
| ~ spl54_26 ),
inference(avatar_component_clause,[],[f2520]) ).
fof(f2525,definition,
( spl54_27
<=> ! [X2] :
( ~ ron(sK2,X2)
| ~ rline(X2)
| ~ ron(sK3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_27])],[avatar_definition]) ).
fof(f2526,plain,
( ! [X2] :
( ~ ron(sK3,X2)
| ~ rline(X2)
| ~ ron(sK2,X2) )
| ~ spl54_27 ),
inference(avatar_component_clause,[],[f2525]) ).
fof(f2528,definition,
( spl54_28
<=> rR(sK3,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_28])],[avatar_definition]) ).
fof(f2529,plain,
( rR(sK3,sK2,sK1)
| ~ spl54_28 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f2530,plain,
( ~ rR(sK3,sK2,sK1)
| spl54_28 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f2548,plain,
( ron(sK1,vd1197)
| ~ spl54_16 ),
inference(backward_demodulation,[],[f842,f2028]) ).
fof(f2598,plain,
( ron(sK1,vd1197)
| ~ spl54_24 ),
inference(backward_demodulation,[],[f843,f2514]) ).
fof(f2648,plain,
( $false
| ~ spl54_16 ),
inference(forward_subsumption_resolution,[],[f2548,f841]) ).
fof(f2649,plain,
~ spl54_16,
inference(avatar_contradiction_clause,[],[f2648]) ).
fof(f2657,plain,
( $false
| ~ spl54_24 ),
inference(forward_subsumption_resolution,[],[f2598,f841]) ).
fof(f2658,plain,
~ spl54_24,
inference(avatar_contradiction_clause,[],[f2657]) ).
fof(f2717,plain,
( vd684 != vf(sK2,sK2)
| ~ spl54_26 ),
inference(forward_demodulation,[],[f2085,f2522]) ).
fof(f2742,plain,
( $false
| ~ spl54_26 ),
inference(forward_subsumption_resolution,[],[f2717,f2119]) ).
fof(f2743,plain,
~ spl54_26,
inference(avatar_contradiction_clause,[],[f2742]) ).
fof(f2854,plain,
( ron(sK2,sK10(sK1,sK2))
| spl54_16 ),
inference(unit_resulting_resolution,[],[f1064,f565,f563,f2027]) ).
fof(f2855,plain,
( ron(sK1,sK10(sK1,sK2))
| spl54_16 ),
inference(unit_resulting_resolution,[],[f1066,f565,f563,f2027]) ).
fof(f2856,plain,
( rline(sK10(sK1,sK2))
| spl54_16 ),
inference(unit_resulting_resolution,[],[f1068,f565,f563,f2027]) ).
fof(f2885,plain,
( vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2)
| spl54_16
| spl54_24 ),
inference(unit_resulting_resolution,[],[f1006,f565,f561,f563,f2027,f2513]) ).
fof(f2898,plain,
( vd684 != vangle(sK1,sK3,sK2)
| spl54_16
| spl54_20
| spl54_24 ),
inference(backward_demodulation,[],[f2165,f2885]) ).
fof(f4073,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_20 ),
inference(superposition,[],[f1051,f2166]) ).
fof(f4076,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_20 ),
inference(trivial_inequality_removal,[],[f4073]) ).
fof(f4089,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_20
| spl54_24 ),
inference(forward_subsumption_resolution,[],[f4076,f2513]) ).
fof(f4115,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4089,f2521]) ).
fof(f4117,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4115,f565]) ).
fof(f4119,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4117,f563]) ).
fof(f4121,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4119,f561]) ).
fof(f4123,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4121,f844]) ).
fof(f4125,plain,
( spl54_27
| ~ spl54_20
| spl54_24
| spl54_26 ),
inference(avatar_split_clause,[],[f4123,f2520,f2512,f2164,f2525]) ).
fof(f4183,plain,
( ! [X2,X3,X0,X1] :
( vd684 != vangle(X0,sK3,X1)
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| sK2 = sK3
| sK1 = sK3
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24 ),
inference(superposition,[],[f2898,f1653]) ).
fof(f4188,plain,
( ! [X2,X3,X0,X1] :
( vd684 != vangle(X0,sK3,X1)
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| sK1 = sK3
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4183,f2521]) ).
fof(f4190,plain,
( ! [X2,X3,X0,X1] :
( vd684 != vangle(X0,sK3,X1)
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4188,f2513]) ).
fof(f4192,plain,
( ! [X2,X3,X0,X1] :
( vd684 != vangle(X0,sK3,X1)
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4190,f563]) ).
fof(f4194,plain,
( ! [X2,X3,X0,X1] :
( vd684 != vangle(X0,sK3,X1)
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4192,f565]) ).
fof(f4196,plain,
( ! [X2,X3,X0,X1] :
( vd684 != vangle(X0,sK3,X1)
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4194,f561]) ).
fof(f4239,plain,
( ! [X2,X3,X0,X1,X4] :
( vd684 != vd684
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| rR(sK3,X0,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(sK3,X4)
| sK3 = X1
| sK3 = X0
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(superposition,[],[f4196,f1055]) ).
fof(f4240,plain,
( ! [X2,X3,X0,X1,X4] :
( vd684 != vd684
| rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| rR(sK3,X0,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(sK3,X4)
| ~ rline(X4)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(duplicate_literal_removal,[],[f4239]) ).
fof(f4241,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| rR(sK3,X0,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(sK3,X4)
| ~ rline(X4)
| ~ rpoint(sK3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(trivial_inequality_removal,[],[f4240]) ).
fof(f4246,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(sK3,sK2,X1)
| rR(sK3,sK1,X0)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(sK2,X2)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| rR(sK3,X0,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(sK3,X4)
| ~ rline(X4) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26 ),
inference(forward_subsumption_resolution,[],[f4241,f561]) ).
fof(f4251,plain,
( ! [X2,X3,X0,X1] :
( rR(sK3,sK1,X0)
| sK1 = sK3
| sK3 = X0
| ~ ron(sK1,X1)
| ~ ron(sK2,X1)
| ~ ron(X0,X2)
| ~ ron(sK1,X2)
| ~ ron(sK3,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| rR(sK3,X0,sK1)
| ~ ron(sK1,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26
| spl54_28 ),
inference(resolution,[],[f4246,f2530]) ).
fof(f4268,plain,
( ! [X2,X3,X0,X1] :
( rR(sK3,sK1,X0)
| sK3 = X0
| ~ ron(sK1,X1)
| ~ ron(sK2,X1)
| ~ ron(X0,X2)
| ~ ron(sK1,X2)
| ~ ron(sK3,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| rR(sK3,X0,sK1)
| ~ ron(sK1,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26
| spl54_28 ),
inference(forward_subsumption_resolution,[],[f4251,f2513]) ).
fof(f4274,plain,
( ! [X2,X3,X0,X1] :
( rR(sK3,sK1,X0)
| sK3 = X0
| ~ ron(sK1,X1)
| ~ ron(sK2,X1)
| ~ ron(X0,X2)
| ~ ron(sK1,X2)
| ~ ron(sK3,X2)
| ~ rline(X1)
| ~ rline(X2)
| ~ rpoint(X0)
| rR(sK3,X0,sK1)
| ~ ron(sK1,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X3) )
| spl54_16
| spl54_20
| spl54_24
| spl54_26
| spl54_28 ),
inference(forward_subsumption_resolution,[],[f4268,f565]) ).
fof(f4277,definition,
( spl54_78
<=> ! [X1] :
( ~ ron(sK1,X1)
| ~ rline(X1)
| ~ ron(sK2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_78])],[avatar_definition]) ).
fof(f4278,plain,
( ! [X1] :
( ~ ron(sK2,X1)
| ~ rline(X1)
| ~ ron(sK1,X1) )
| ~ spl54_78 ),
inference(avatar_component_clause,[],[f4277]) ).
fof(f4280,definition,
( spl54_79
<=> ! [X2,X0,X3] :
( rR(sK3,sK1,X0)
| ~ rline(X3)
| ~ ron(sK3,X3)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| rR(sK3,X0,sK1)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ ron(sK3,X2)
| ~ ron(sK1,X2)
| ~ ron(X0,X2)
| sK3 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl54_79])],[avatar_definition]) ).
fof(f4281,plain,
( ! [X2,X3,X0] :
( rR(sK3,sK1,X0)
| ~ rline(X3)
| ~ ron(sK3,X3)
| ~ ron(X0,X3)
| ~ ron(sK1,X3)
| rR(sK3,X0,sK1)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ ron(sK3,X2)
| ~ ron(sK1,X2)
| ~ ron(X0,X2)
| sK3 = X0 )
| ~ spl54_79 ),
inference(avatar_component_clause,[],[f4280]) ).
fof(f4282,plain,
( spl54_78
| spl54_79
| spl54_16
| spl54_20
| spl54_24
| spl54_26
| spl54_28 ),
inference(avatar_split_clause,[],[f4274,f2528,f2520,f2512,f2164,f2026,f4280,f4277]) ).
fof(f4331,plain,
( ~ rline(vd1197)
| ~ ron(sK2,vd1197)
| ~ spl54_27 ),
inference(resolution,[],[f2526,f843]) ).
fof(f4333,plain,
( ~ ron(sK2,vd1197)
| ~ spl54_27 ),
inference(forward_subsumption_resolution,[],[f4331,f551]) ).
fof(f4342,plain,
( $false
| ~ spl54_27 ),
inference(forward_subsumption_resolution,[],[f4333,f842]) ).
fof(f4343,plain,
~ spl54_27,
inference(avatar_contradiction_clause,[],[f4342]) ).
fof(f5045,definition,
( spl54_84
<=> ! [X2] :
( ~ ron(sK1,X2)
| ~ rline(X2)
| ~ ron(sK3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_84])],[avatar_definition]) ).
fof(f5046,plain,
( ! [X2] :
( ~ ron(sK3,X2)
| ~ rline(X2)
| ~ ron(sK1,X2) )
| ~ spl54_84 ),
inference(avatar_component_clause,[],[f5045]) ).
fof(f5053,plain,
( ! [X0] :
( ~ rline(sK10(sK3,X0))
| ~ ron(sK1,sK10(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_84 ),
inference(resolution,[],[f5046,f1066]) ).
fof(f5057,plain,
( ! [X0] :
( ~ ron(sK1,sK10(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f5053,f1068]) ).
fof(f5059,plain,
( ! [X0] :
( ~ ron(sK1,sK10(sK3,X0))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f5057,f561]) ).
fof(f5063,plain,
( sK1 = sK3
| ~ rpoint(sK1)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_84 ),
inference(resolution,[],[f5059,f1064]) ).
fof(f5064,plain,
( sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_84 ),
inference(duplicate_literal_removal,[],[f5063]) ).
fof(f5065,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_24
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f5064,f2513]) ).
fof(f5068,plain,
( ~ rpoint(sK3)
| spl54_24
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f5065,f565]) ).
fof(f5069,plain,
( $false
| spl54_24
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f5068,f561]) ).
fof(f5070,plain,
( spl54_24
| ~ spl54_84 ),
inference(avatar_contradiction_clause,[],[f5069]) ).
fof(f5413,plain,
( ! [X0] :
( ~ rline(sK10(sK2,X0))
| ~ ron(sK1,sK10(sK2,X0))
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_78 ),
inference(resolution,[],[f4278,f1066]) ).
fof(f5417,plain,
( ! [X0] :
( ~ ron(sK1,sK10(sK2,X0))
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_78 ),
inference(forward_subsumption_resolution,[],[f5413,f1068]) ).
fof(f5419,plain,
( ! [X0] :
( ~ ron(sK1,sK10(sK2,X0))
| sK2 = X0
| ~ rpoint(X0) )
| ~ spl54_78 ),
inference(forward_subsumption_resolution,[],[f5417,f563]) ).
fof(f5423,plain,
( sK1 = sK2
| ~ rpoint(sK1)
| sK1 = sK2
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_78 ),
inference(resolution,[],[f5419,f1064]) ).
fof(f5424,plain,
( sK1 = sK2
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_78 ),
inference(duplicate_literal_removal,[],[f5423]) ).
fof(f5425,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK2)
| spl54_16
| ~ spl54_78 ),
inference(forward_subsumption_resolution,[],[f5424,f2027]) ).
fof(f5428,plain,
( ~ rpoint(sK2)
| spl54_16
| ~ spl54_78 ),
inference(forward_subsumption_resolution,[],[f5425,f565]) ).
fof(f5429,plain,
( $false
| spl54_16
| ~ spl54_78 ),
inference(forward_subsumption_resolution,[],[f5428,f563]) ).
fof(f5430,plain,
( spl54_16
| ~ spl54_78 ),
inference(avatar_contradiction_clause,[],[f5429]) ).
fof(f7701,plain,
( ~ ron(sK3,sK10(sK1,sK2))
| spl54_16 ),
inference(unit_resulting_resolution,[],[f844,f2856,f2855,f2854]) ).
fof(f10906,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ ron(sK1,X0)
| rR(sK3,sK1,sK1)
| ~ rpoint(sK1)
| ~ rline(X1)
| ~ ron(sK3,X1)
| ~ ron(sK1,X1)
| ~ ron(sK1,X1)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_79 ),
inference(resolution,[],[f4281,f1708]) ).
fof(f10909,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| rR(sK3,sK1,sK1)
| ~ rpoint(sK1)
| ~ rline(X1)
| ~ ron(sK3,X1)
| ~ ron(sK1,X1)
| sK1 = sK3
| ~ rpoint(sK3) )
| ~ spl54_79 ),
inference(duplicate_literal_removal,[],[f10906]) ).
fof(f10925,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rpoint(sK1)
| ~ rline(X1)
| ~ ron(sK3,X1)
| ~ ron(sK1,X1)
| sK1 = sK3
| ~ rpoint(sK3) )
| ~ spl54_79 ),
inference(forward_subsumption_resolution,[],[f10909,f1708]) ).
fof(f10935,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X1)
| ~ ron(sK3,X1)
| ~ ron(sK1,X1)
| sK1 = sK3
| ~ rpoint(sK3) )
| ~ spl54_79 ),
inference(forward_subsumption_resolution,[],[f10925,f565]) ).
fof(f10942,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X1)
| ~ ron(sK3,X1)
| ~ ron(sK1,X1)
| ~ rpoint(sK3) )
| spl54_24
| ~ spl54_79 ),
inference(forward_subsumption_resolution,[],[f10935,f2513]) ).
fof(f10945,plain,
( ! [X0,X1] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X1)
| ~ ron(sK3,X1)
| ~ ron(sK1,X1) )
| spl54_24
| ~ spl54_79 ),
inference(forward_subsumption_resolution,[],[f10942,f561]) ).
fof(f10946,plain,
( spl54_84
| spl54_84
| spl54_24
| ~ spl54_79 ),
inference(avatar_split_clause,[],[f10945,f4280,f2512,f5045,f5045]) ).
fof(f15252,plain,
( ron(sK3,sK10(sK1,sK2))
| spl54_16
| ~ spl54_28 ),
inference(unit_resulting_resolution,[],[f1318,f563,f561,f565,f2856,f2854,f2855,f2529]) ).
fof(f15381,plain,
( $false
| spl54_16
| ~ spl54_28 ),
inference(forward_subsumption_resolution,[],[f15252,f7701]) ).
fof(f15382,plain,
( spl54_16
| ~ spl54_28 ),
inference(avatar_contradiction_clause,[],[f15381]) ).
cnf(s40,plain,
~ spl54_16,
inference(sat_conversion,[],[f2649]) ).
cnf(s42,plain,
~ spl54_24,
inference(sat_conversion,[],[f2658]) ).
cnf(s46,plain,
~ spl54_26,
inference(sat_conversion,[],[f2743]) ).
cnf(s97,plain,
( ~ spl54_20
| spl54_24
| spl54_26
| spl54_27 ),
inference(sat_conversion,[],[f4125]) ).
cnf(s102,plain,
( spl54_16
| spl54_20
| spl54_24
| spl54_26
| spl54_28
| spl54_78
| spl54_79 ),
inference(sat_conversion,[],[f4282]) ).
cnf(s108,plain,
~ spl54_27,
inference(sat_conversion,[],[f4343]) ).
cnf(s113,plain,
( spl54_24
| ~ spl54_84 ),
inference(sat_conversion,[],[f5070]) ).
cnf(s134,plain,
( spl54_16
| ~ spl54_78 ),
inference(sat_conversion,[],[f5430]) ).
cnf(s249,plain,
( spl54_84
| ~ spl54_79
| spl54_24
| spl54_84 ),
inference(sat_conversion,[],[f10946]) ).
cnf(s250,plain,
( spl54_24
| ~ spl54_79
| spl54_84 ),
inference(rat,[],[s249]) ).
cnf(s316,plain,
( spl54_16
| ~ spl54_28 ),
inference(sat_conversion,[],[f15382]) ).
cnf(s336,plain,
( ~ spl54_20
| spl54_24
| spl54_26 ),
inference(rat,[],[s97,s108]) ).
cnf(s342,plain,
~ spl54_84,
inference(rat,[],[s113,s42]) ).
cnf(s343,plain,
~ spl54_20,
inference(rat,[],[s336,s46,s42]) ).
cnf(s344,plain,
~ spl54_79,
inference(rat,[],[s250,s42,s342]) ).
cnf(s345,plain,
~ spl54_28,
inference(rat,[],[s316,s40]) ).
cnf(s346,plain,
~ spl54_78,
inference(rat,[],[s134,s40]) ).
cnf(s349,plain,
$false,
inference(rat,[],[s102,s344,s346,s343,s46,s42,s345,s40]) ).
fof(f15464,plain,
$false,
inference(avatar_sat_refutation,[],[s349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO301+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:01:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.30/2.82 % (903808)Detected formulas, will run a generic FOF schedule.
% 13.30/2.82 % (903813)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=4125856912:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.30/2.82 % (903819)dis-21_1_sil=8000:lcm=predicate:random_seed=2094159708: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)
% 13.30/2.82 % (903814)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=2927946045:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.30/2.82 % (903816)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=864350083:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.30/2.82 % (903817)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1693916016:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.30/2.82 % (903815)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=1249378545:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.30/2.82 % (903818)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2375744127:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.30/2.82 % (903816)Refutation not found, incomplete strategy
% 13.30/2.82 % (903816)------------------------------
% 13.30/2.82 % (903816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.82 % (903816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.82 % (903816)CaDiCaL version: 2.1.3
% 13.30/2.82 % (903816)Termination reason: Refutation not found, incomplete strategy
% 13.30/2.82 % (903816)Time elapsed: 0.002 s
% 13.30/2.82 % (903816)Peak memory usage: 88 MB
% 13.30/2.82 % (903816)Instructions burned: 1 (million)
% 13.30/2.82 % (903819)Instruction limit reached!
% 13.30/2.82 % (903819)------------------------------
% 13.30/2.82 % (903819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.82 % (903819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.82 % (903819)CaDiCaL version: 2.1.3
% 13.30/2.82 % (903819)Termination reason: Instruction limit
% 13.30/2.82 % (903819)Termination phase: Saturation
% 13.30/2.82 % (903819)Time elapsed: 0.065 s
% 13.30/2.82 % (903819)Peak memory usage: 90 MB
% 13.30/2.82 % (903819)Instructions burned: 129 (million)
% 13.30/2.82 % (903817)Instruction limit reached!
% 13.30/2.82 % (903817)------------------------------
% 13.30/2.82 % (903817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.82 % (903817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.82 % (903817)CaDiCaL version: 2.1.3
% 13.30/2.82 % (903817)Termination reason: Instruction limit
% 13.30/2.82 % (903817)Termination phase: Saturation
% 13.30/2.82 % (903817)Time elapsed: 0.067 s
% 13.30/2.82 % (903817)Peak memory usage: 88 MB
% 13.30/2.82 % (903817)Instructions burned: 120 (million)
% 13.30/2.82 % (903818)Instruction limit reached!
% 13.30/2.82 % (903818)------------------------------
% 13.30/2.82 % (903818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.82 % (903818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.82 % (903818)CaDiCaL version: 2.1.3
% 13.30/2.82 % (903818)Termination reason: Instruction limit
% 13.30/2.82 % (903818)Termination phase: Saturation
% 13.30/2.82 % (903818)Time elapsed: 0.078 s
% 13.30/2.82 % (903818)Peak memory usage: 90 MB
% 13.30/2.82 % (903818)Instructions burned: 140 (million)
% 13.30/2.82 % (903828)lrs+10_1_sil=32000:urr=on:br=off:random_seed=498009527:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.30/2.82 % (903827)lrs+10_1_sil=8000:sp=occurrence:random_seed=3567262961:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.30/2.82 % (903828)Refutation not found, incomplete strategy
% 13.30/2.82 % (903828)------------------------------
% 13.30/2.82 % (903828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.82 % (903828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.82 % (903828)CaDiCaL version: 2.1.3
% 13.30/2.82 % (903828)Termination reason: Refutation not found, incomplete strategy
% 13.30/2.82 % (903828)Time elapsed: 0.003 s
% 20.27/3.71 % (903828)Peak memory usage: 88 MB
% 20.27/3.71 % (903828)Instructions burned: 5 (million)
% 20.27/3.71 % (903829)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3233707644:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.27/3.71 % (903829)Refutation not found, incomplete strategy
% 20.27/3.71 % (903829)------------------------------
% 20.27/3.71 % (903829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/3.71 % (903829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/3.71 % (903829)CaDiCaL version: 2.1.3
% 20.27/3.71 % (903829)Termination reason: Refutation not found, incomplete strategy
% 20.27/3.71 % (903829)Time elapsed: 0.002 s
% 20.27/3.71 % (903829)Peak memory usage: 88 MB
% 20.27/3.71 % (903829)Instructions burned: 1 (million)
% 20.27/3.71 % (903816)------------------------------
% 20.27/3.71 % (903816)------------------------------
% 20.27/3.71 % (903827)Instruction limit reached!
% 20.27/3.71 % (903827)------------------------------
% 20.27/3.71 % (903827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/3.71 % (903827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/3.71 % (903827)CaDiCaL version: 2.1.3
% 20.27/3.71 % (903827)Termination reason: Instruction limit
% 20.27/3.71 % (903827)Termination phase: Saturation
% 20.27/3.71 % (903827)Time elapsed: 0.155 s
% 20.27/3.71 % (903827)Peak memory usage: 92 MB
% 20.27/3.71 % (903827)Instructions burned: 286 (million)
% 20.27/3.71 % (903833)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=4019449245:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.27/3.71 % (903828)------------------------------
% 20.27/3.71 % (903828)------------------------------
% 20.27/3.71 % (903829)------------------------------
% 20.27/3.71 % (903829)------------------------------
% 20.27/3.71 % (903834)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1988562707:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.27/3.71 % (903834)Refutation not found, incomplete strategy
% 20.27/3.71 % (903834)------------------------------
% 20.27/3.71 % (903834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/3.71 % (903834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/3.71 % (903834)CaDiCaL version: 2.1.3
% 20.27/3.71 % (903834)Termination reason: Refutation not found, incomplete strategy
% 20.27/3.71 % (903834)Time elapsed: 0.012 s
% 20.27/3.71 % (903834)Peak memory usage: 89 MB
% 20.27/3.71 % (903834)Instructions burned: 22 (million)
% 20.27/3.71 % (903833)Instruction limit reached!
% 20.27/3.71 % (903833)------------------------------
% 20.27/3.71 % (903833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/3.71 % (903833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/3.71 % (903833)CaDiCaL version: 2.1.3
% 20.27/3.71 % (903833)Termination reason: Instruction limit
% 20.27/3.71 % (903833)Termination phase: Saturation
% 20.27/3.71 % (903833)Time elapsed: 0.114 s
% 20.27/3.71 % (903833)Peak memory usage: 93 MB
% 20.27/3.71 % (903833)Instructions burned: 250 (million)
% 20.27/3.71 % (903836)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2629141371:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.27/3.71 % (903837)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1390435554:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 20.27/3.71 % (903839)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3921658276:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.27/3.71 % (903837)Instruction limit reached!
% 20.27/3.71 % (903837)------------------------------
% 20.27/3.71 % (903837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/3.71 % (903837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/3.71 % (903837)CaDiCaL version: 2.1.3
% 20.27/3.71 % (903837)Termination reason: Instruction limit
% 20.27/3.71 % (903837)Termination phase: Saturation
% 20.27/3.71 % (903837)Time elapsed: 0.056 s
% 20.27/3.71 % (903837)Peak memory usage: 90 MB
% 20.27/3.71 % (903837)Instructions burned: 115 (million)
% 20.27/3.71 % (903839)Refutation not found, incomplete strategy
% 20.27/3.71 % (903839)------------------------------
% 20.27/3.71 % (903839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/3.71 % (903839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.32/5.73 % (903839)CaDiCaL version: 2.1.3
% 34.32/5.73 % (903839)Termination reason: Refutation not found, incomplete strategy
% 34.32/5.73 % (903839)Time elapsed: 0.032 s
% 34.32/5.73 % (903839)Peak memory usage: 89 MB
% 34.32/5.73 % (903839)Instructions burned: 68 (million)
% 34.32/5.73 % (903834)------------------------------
% 34.32/5.73 % (903834)------------------------------
% 34.32/5.73 % (903843)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3417414548:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 34.32/5.73 % (903843)Instruction limit reached!
% 34.32/5.73 % (903843)------------------------------
% 34.32/5.73 % (903843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.32/5.73 % (903843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.32/5.73 % (903843)CaDiCaL version: 2.1.3
% 34.32/5.73 % (903843)Termination reason: Instruction limit
% 34.32/5.73 % (903843)Termination phase: Saturation
% 34.32/5.73 % (903843)Time elapsed: 0.057 s
% 34.32/5.73 % (903843)Peak memory usage: 89 MB
% 34.32/5.73 % (903843)Instructions burned: 116 (million)
% 34.32/5.73 % (903844)lrs+10_1_sil=8000:sp=occurrence:random_seed=4271554281:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 34.32/5.73 % (903839)------------------------------
% 34.32/5.73 % (903839)------------------------------
% 34.32/5.73 % (903846)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1390982702:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 34.32/5.73 % (903846)Refutation not found, incomplete strategy
% 34.32/5.73 % (903846)------------------------------
% 34.32/5.73 % (903846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.32/5.73 % (903846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.32/5.73 % (903846)CaDiCaL version: 2.1.3
% 34.32/5.73 % (903846)Termination reason: Refutation not found, incomplete strategy
% 34.32/5.73 % (903846)Time elapsed: 0.020 s
% 34.32/5.73 % (903846)Peak memory usage: 89 MB
% 34.32/5.73 % (903846)Instructions burned: 39 (million)
% 34.32/5.73 % (903848)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2384330595:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 34.32/5.73 % (903846)------------------------------
% 34.32/5.73 % (903846)------------------------------
% 34.32/5.73 % (903844)Instruction limit reached!
% 34.32/5.73 % (903844)------------------------------
% 34.32/5.73 % (903844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.32/5.73 % (903844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.32/5.73 % (903844)CaDiCaL version: 2.1.3
% 34.32/5.73 % (903844)Termination reason: Instruction limit
% 34.32/5.73 % (903844)Termination phase: Saturation
% 34.32/5.73 % (903844)Time elapsed: 0.473 s
% 34.32/5.73 % (903844)Peak memory usage: 97 MB
% 34.32/5.73 % (903844)Instructions burned: 908 (million)
% 34.32/5.73 % (903851)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4139577107:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 34.32/5.73 % (903851)Instruction limit reached!
% 34.32/5.73 % (903851)------------------------------
% 34.32/5.73 % (903851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.32/5.73 % (903851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.32/5.73 % (903851)CaDiCaL version: 2.1.3
% 34.32/5.73 % (903851)Termination reason: Instruction limit
% 34.32/5.73 % (903851)Termination phase: Saturation
% 34.32/5.73 % (903851)Time elapsed: 0.065 s
% 34.32/5.73 % (903851)Peak memory usage: 93 MB
% 34.32/5.73 % (903851)Instructions burned: 135 (million)
% 34.32/5.73 % (903852)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2802017780:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 34.32/5.73 % (903854)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1572958197:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 34.32/5.73 % (903852)Instruction limit reached!
% 34.32/5.73 % (903852)------------------------------
% 34.32/5.73 % (903852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.32/5.73 % (903852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.32/5.73 % (903852)CaDiCaL version: 2.1.3
% 34.32/5.73 % (903852)Termination reason: Instruction limit
% 34.32/5.73 % (903852)Termination phase: Saturation
% 34.32/5.73 % (903852)Time elapsed: 0.358 s
% 34.32/5.73 % (903852)Peak memory usage: 96 MB
% 46.67/7.47 % (903852)Instructions burned: 592 (million)
% 46.67/7.47 % (903857)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3766733365:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 46.67/7.47 % (903857)Refutation not found, incomplete strategy
% 46.67/7.47 % (903857)------------------------------
% 46.67/7.47 % (903857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903857)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903857)Termination reason: Refutation not found, incomplete strategy
% 46.67/7.47 % (903857)Time elapsed: 0.011 s
% 46.67/7.47 % (903857)Peak memory usage: 89 MB
% 46.67/7.47 % (903857)Instructions burned: 20 (million)
% 46.67/7.47 % (903836)Instruction limit reached!
% 46.67/7.47 % (903836)------------------------------
% 46.67/7.47 % (903836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903836)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903836)Termination reason: Instruction limit
% 46.67/7.47 % (903836)Termination phase: Saturation
% 46.67/7.47 % (903836)Time elapsed: 1.452 s
% 46.67/7.47 % (903836)Peak memory usage: 142 MB
% 46.67/7.47 % (903836)Instructions burned: 2350 (million)
% 46.67/7.47 % (903859)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3722968538:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 46.67/7.47 % (903857)------------------------------
% 46.67/7.47 % (903857)------------------------------
% 46.67/7.47 % (903859)Instruction limit reached!
% 46.67/7.47 % (903859)------------------------------
% 46.67/7.47 % (903859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903859)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903859)Termination reason: Instruction limit
% 46.67/7.47 % (903859)Termination phase: Saturation
% 46.67/7.47 % (903859)Time elapsed: 0.060 s
% 46.67/7.47 % (903859)Peak memory usage: 90 MB
% 46.67/7.47 % (903859)Instructions burned: 134 (million)
% 46.67/7.47 % (903862)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4225418255:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 46.67/7.47 % (903861)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3249252119:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 46.67/7.47 % (903861)Refutation not found, incomplete strategy
% 46.67/7.47 % (903861)------------------------------
% 46.67/7.47 % (903861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903861)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903861)Termination reason: Refutation not found, incomplete strategy
% 46.67/7.47 % (903861)Time elapsed: 0.002 s
% 46.67/7.47 % (903861)Peak memory usage: 88 MB
% 46.67/7.47 % (903861)Instructions burned: 1 (million)
% 46.67/7.47 % (903862)Refutation not found, incomplete strategy
% 46.67/7.47 % (903862)------------------------------
% 46.67/7.47 % (903862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903862)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903862)Termination reason: Refutation not found, incomplete strategy
% 46.67/7.47 % (903862)Time elapsed: 0.011 s
% 46.67/7.47 % (903862)Peak memory usage: 89 MB
% 46.67/7.47 % (903862)Instructions burned: 23 (million)
% 46.67/7.47 % (903861)------------------------------
% 46.67/7.47 % (903861)------------------------------
% 46.67/7.47 % (903862)------------------------------
% 46.67/7.47 % (903862)------------------------------
% 46.67/7.47 % (903865)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1307297386:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 46.67/7.47 % (903866)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1232248633:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 46.67/7.47 % (903866)Instruction limit reached!
% 46.67/7.47 % (903866)------------------------------
% 46.67/7.47 % (903866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903866)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903866)Termination reason: Instruction limit
% 46.67/7.47 % (903866)Termination phase: Saturation
% 46.67/7.47 % (903866)Time elapsed: 0.074 s
% 46.67/7.47 % (903866)Peak memory usage: 91 MB
% 46.67/7.47 % (903866)Instructions burned: 150 (million)
% 46.67/7.47 % (903869)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2215908939:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 46.67/7.47 % (903848)Instruction limit reached!
% 46.67/7.47 % (903848)------------------------------
% 46.67/7.47 % (903848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903848)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903848)Termination reason: Instruction limit
% 46.67/7.47 % (903848)Termination phase: Saturation
% 46.67/7.47 % (903848)Time elapsed: 2.451 s
% 46.67/7.47 % (903848)Peak memory usage: 137 MB
% 46.67/7.47 % (903848)Instructions burned: 5205 (million)
% 46.67/7.47 % (903871)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=616561190:i=667:av=off:fsr=off_2963 on theBenchmark for (2963ds/667Mi)
% 46.67/7.47 % (903871)Refutation not found, incomplete strategy
% 46.67/7.47 % (903871)------------------------------
% 46.67/7.47 % (903871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903871)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903871)Termination reason: Refutation not found, incomplete strategy
% 46.67/7.47 % (903871)Time elapsed: 0.026 s
% 46.67/7.47 % (903871)Peak memory usage: 89 MB
% 46.67/7.47 % (903871)Instructions burned: 53 (million)
% 46.67/7.47 % (903871)------------------------------
% 46.67/7.47 % (903871)------------------------------
% 46.67/7.47 % (903873)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2624769629:s2a=on:i=185:s2at=1.8:fdi=4_2959 on theBenchmark for (2959ds/185Mi)
% 46.67/7.47 % (903873)Instruction limit reached!
% 46.67/7.47 % (903873)------------------------------
% 46.67/7.47 % (903873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903873)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903873)Termination reason: Instruction limit
% 46.67/7.47 % (903873)Termination phase: Saturation
% 46.67/7.47 % (903873)Time elapsed: 0.094 s
% 46.67/7.47 % (903873)Peak memory usage: 92 MB
% 46.67/7.47 % (903873)Instructions burned: 186 (million)
% 46.67/7.47 % (903875)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1168547276:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2957 on theBenchmark for (2957ds/193Mi)
% 46.67/7.47 % (903875)Instruction limit reached!
% 46.67/7.47 % (903875)------------------------------
% 46.67/7.47 % (903875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903875)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903875)Termination reason: Instruction limit
% 46.67/7.47 % (903875)Termination phase: Saturation
% 46.67/7.47 % (903875)Time elapsed: 0.106 s
% 46.67/7.47 % (903875)Peak memory usage: 91 MB
% 46.67/7.47 % (903875)Instructions burned: 194 (million)
% 46.67/7.47 % (903877)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3060284543:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2955 on theBenchmark for (2955ds/4850Mi)
% 46.67/7.47 % (903877)Refutation not found, incomplete strategy
% 46.67/7.47 % (903877)------------------------------
% 46.67/7.47 % (903877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903877)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903877)Termination reason: Refutation not found, incomplete strategy
% 46.67/7.47 % (903877)Time elapsed: 0.020 s
% 46.67/7.47 % (903877)Peak memory usage: 89 MB
% 46.67/7.47 % (903877)Instructions burned: 40 (million)
% 46.67/7.47 % (903877)------------------------------
% 46.67/7.47 % (903877)------------------------------
% 46.67/7.47 % (903879)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3681395779:i=12111:sd=1:ss=included_2951 on theBenchmark for (2951ds/12111Mi)
% 46.67/7.47 % (903865)Instruction limit reached!
% 46.67/7.47 % (903865)------------------------------
% 46.67/7.47 % (903865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903865)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903865)Termination reason: Instruction limit
% 46.67/7.47 % (903865)Termination phase: Saturation
% 46.67/7.47 % (903865)Time elapsed: 3.366 s
% 46.67/7.47 % (903865)Peak memory usage: 145 MB
% 46.67/7.47 % (903865)Instructions burned: 6061 (million)
% 46.67/7.47 % (903869)First to succeed.
% 46.67/7.47 % (903869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-903808"
% 46.67/7.47 % (903881)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2247951448:i=319:kws=precedence:fsr=off_2937 on theBenchmark for (2937ds/319Mi)
% 46.67/7.47 % (903881)Instruction limit reached!
% 46.67/7.47 % (903881)------------------------------
% 46.67/7.47 % (903881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.67/7.47 % (903881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/7.47 % (903881)CaDiCaL version: 2.1.3
% 46.67/7.47 % (903881)Termination reason: Instruction limit
% 46.67/7.47 % (903881)Termination phase: Saturation
% 46.67/7.47 % (903881)Time elapsed: 0.161 s
% 46.67/7.47 % (903881)Peak memory usage: 94 MB
% 46.67/7.47 % (903881)Instructions burned: 319 (million)
% 46.67/7.47 % (903869)Refutation found. Thanks to Tanya!
% 46.67/7.47 % SZS status ContradictoryAxioms for theBenchmark
% 46.67/7.47 % SZS output start Proof for theBenchmark
% See solution above
% 47.35/7.67 % (903869)------------------------------
% 47.35/7.67 % (903869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.35/7.67 % (903869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.35/7.67 % (903869)CaDiCaL version: 2.1.3
% 47.35/7.67 % (903869)Termination reason: Refutation
% 47.35/7.67 % (903869)Time elapsed: 3.249 s
% 47.35/7.67 % (903869)Peak memory usage: 147 MB
% 47.35/7.67 % (903869)Instructions burned: 6221 (million)
% 47.35/7.67 % (903869)------------------------------
% 47.35/7.67 % (903869)------------------------------
% 47.35/7.67 % (903808)Success in time 6.62 s
% 47.35/7.67 % Vampire exiting
%------------------------------------------------------------------------------