%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO294+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 : Fri Sep 25 01:20:55 PM UTC 2026
% Result : Theorem 143.71s 20.93s
% Output : CNFRefutation 143.71s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f92ERROR: Could not build tree for root c_19269ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
vangle(vd1201,vd1185,vd1187) = v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(302, 1241, 0)') ).
fof(f4,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(301, 1240, 1)') ).
fof(f5,axiom,
vangle(vd1179,vd1178,vd1180) = vangle(vd1200,vd1199,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(301, 1240, 0)') ).
fof(f6,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1186,vd1185,vd1187),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(292, 1231, 0)') ).
fof(f7,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof(f8,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rline(X7)
& X6 = X7
& X0 != X2
& X0 != X4
& ron(X0,X6)
& ron(X2,X6) )
=> ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f10,axiom,
vangle(vd1186,vd1185,vd1201) = vangle(vd1200,vd1199,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(300, 1239, 0)') ).
fof(f11,axiom,
( vd1199 != vd1185
=> ( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 0)') ).
fof(f12,axiom,
( vd1199 != vd1185
=> ~ rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 1)') ).
fof(f13,axiom,
( vd1199 != vd1185
=> ~ rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 2)') ).
fof(f14,axiom,
( vd1199 != vd1185
=> ( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(271), 3), 3)') ).
fof(f15,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1179,vd1178,vd1180),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(plural(271)), 1206, 0)') ).
fof(f16,axiom,
( ? [X6] :
( rpoint(X6)
& vd1178 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1179 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1180 = X4 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1186 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1187 = X1 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X0] :
( rline(X0)
& ron(vd1185,X0)
& ron(vd1186,X0)
& ron(vd1187,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f17,axiom,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f18,axiom,
vangle(vd1186,vd1185,vd1187) = vplus(vangle(vd1186,vd1185,vd1201),vangle(vd1201,vd1185,vd1187)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(299, 1238, 0)') ).
fof(f19,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f20,axiom,
~ rR(vd1186,vd1199,vd1185),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).
fof(f29,axiom,
? [X0] :
( rpoint(X0)
& vd1199 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6)
| ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> vangle(X2,X0,X4) = v0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6)
| ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> vangle(X2,X0,X4) = v0 ) ),
inference(flattening,[],[f161]) ).
fof(f169,plain,
( ? [X6] :
( rpoint(X6)
& vd1178 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1179 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1180 = X4 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1186 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1187 = X1 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X0] :
( ~ rline(X0)
| ~ ron(vd1185,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1187,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2)
| ~ ron(X0,X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2)
| ~ ron(X0,X2) ),
inference(flattening,[],[f232]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2)
| rS(X0,X0,X2) ),
inference(ennf_transformation,[],[f81]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2)
| rS(X0,X0,X2) ),
inference(flattening,[],[f234]) ).
fof(f255,plain,
! [X0,X1,X2,X3] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| X0 = X1
| ! [X5] :
( ~ rline(X5)
| X2 != X5 )
| ! [X4] :
( ~ rline(X4)
| X3 != X4 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f92]) ).
fof(f256,plain,
! [X0,X1,X2,X3] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| X0 = X1
| ! [X5] :
( ~ rline(X5)
| X2 != X5 )
| ! [X4] :
( ~ rline(X4)
| X3 != X4 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| X2 = X3 ),
inference(flattening,[],[f255]) ).
fof(f370,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| X0 = X1
| X0 = X2
| vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
inference(ennf_transformation,[],[f155]) ).
fof(f371,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| X0 = X1
| X0 = X2
| vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
inference(flattening,[],[f370]) ).
fof(f374,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6)
| ( ( ~ ron(X4,X6)
| rR(X0,X2,X4)
| vangle(X2,X0,X4) = v0 )
& ( v0 != vangle(X2,X0,X4)
| ( ron(X4,X6)
& ~ rR(X0,X2,X4) ) ) ) ),
inference(nnf_transformation,[],[f162]) ).
fof(f375,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6)
| ( ( ~ ron(X4,X6)
| rR(X0,X2,X4)
| vangle(X2,X0,X4) = v0 )
& ( v0 != vangle(X2,X0,X4)
| ( ron(X4,X6)
& ~ rR(X0,X2,X4) ) ) ) ),
inference(flattening,[],[f374]) ).
fof(f376,plain,
( rpoint(sK6)
& vd1178 = sK6
& rpoint(sK5)
& vd1179 = sK5
& rpoint(sK4)
& vd1180 = sK4
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK3)
& vd1185 = sK3
& rpoint(sK2)
& vd1186 = sK2
& rpoint(sK1)
& vd1187 = sK1
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X0] :
( ~ rline(X0)
| ~ ron(vd1185,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1187,X0) ) ),
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)],[f169]) ).
fof(f377,plain,
( rpoint(sK7)
& vd1201 = sK7 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f27]) ).
fof(f379,plain,
( rpoint(sK9)
& vd1199 = sK9 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f29]) ).
fof(f450,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f156]) ).
fof(f451,plain,
vangle(vd1201,vd1185,vd1187) = v0,
inference(cnf_transformation,[],[f3]) ).
fof(f455,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f7]) ).
fof(f458,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6)
| v0 != vangle(X2,X0,X4)
| ron(X4,X6) ),
inference(cnf_transformation,[],[f375]) ).
fof(f479,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f376]) ).
fof(f480,plain,
vd1187 = sK1,
inference(cnf_transformation,[],[f376]) ).
fof(f495,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f377]) ).
fof(f496,plain,
vd1201 = sK7,
inference(cnf_transformation,[],[f377]) ).
fof(f499,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f379]) ).
fof(f500,plain,
vd1199 = sK9,
inference(cnf_transformation,[],[f379]) ).
fof(f509,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f38]) ).
fof(f510,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f39]) ).
fof(f511,plain,
rline(vd1232),
inference(cnf_transformation,[],[f40]) ).
fof(f516,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f45]) ).
fof(f517,plain,
rline(vd1197),
inference(cnf_transformation,[],[f46]) ).
fof(f524,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f50]) ).
fof(f536,plain,
v0 = vd684,
inference(cnf_transformation,[],[f60]) ).
fof(f566,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2)
| ~ ron(X0,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f567,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| X2 != X3
| ron(X0,X2)
| rS(X0,X0,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(f581,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| X0 = X1
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| X3 != X4
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f256]) ).
fof(f747,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| X0 = X1
| X0 = X2
| vangle(X2,X1,X0) = vangle(X0,X1,X2) ),
inference(cnf_transformation,[],[f371]) ).
fof(f748,plain,
vd1185 = sK9,
inference(definition_unfolding,[],[f455,f500]) ).
fof(f750,plain,
~ ron(sK7,vd1232),
inference(definition_unfolding,[],[f450,f496]) ).
fof(f751,plain,
vd684 = vangle(sK7,sK9,sK1),
inference(definition_unfolding,[],[f451,f496,f748,f480,f536]) ).
fof(f756,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6)
| vangle(X2,X0,X4) != vd684
| ron(X4,X6) ),
inference(definition_unfolding,[],[f458,f536]) ).
fof(f789,plain,
ron(sK1,vd1232),
inference(definition_unfolding,[],[f509,f480]) ).
fof(f790,plain,
ron(sK9,vd1232),
inference(definition_unfolding,[],[f510,f748]) ).
fof(f795,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f516,f748]) ).
fof(f796,plain,
~ ron(sK1,vd1197),
inference(definition_unfolding,[],[f524,f480]) ).
fof(f807,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X0 = X2
| X0 = X4
| ~ ron(X0,X7)
| ~ ron(X2,X7)
| vangle(X2,X0,X4) != vd684
| ron(X4,X7) ),
inference(equality_resolution,[],[f756]) ).
fof(f808,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| ~ rline(X7)
| X0 = X2
| X0 = X5
| ~ ron(X0,X7)
| ~ ron(X2,X7)
| vd684 != vangle(X2,X0,X5)
| ron(X5,X7) ),
inference(equality_resolution,[],[f807]) ).
fof(f809,plain,
! [X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X0 = X3
| X0 = X5
| ~ ron(X0,X7)
| ~ ron(X3,X7)
| vd684 != vangle(X3,X0,X5)
| ron(X5,X7) ),
inference(equality_resolution,[],[f808]) ).
fof(f810,plain,
! [X3,X1,X7,X5] :
( ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7)
| vd684 != vangle(X3,X1,X5)
| ron(X5,X7) ),
inference(equality_resolution,[],[f809]) ).
fof(f991,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| ~ rS(X0,X1,X3)
| ~ ron(X0,X3) ),
inference(equality_resolution,[],[f566]) ).
fof(f992,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rline(X3)
| ~ rS(X0,X4,X3)
| ~ ron(X0,X3) ),
inference(equality_resolution,[],[f991]) ).
fof(f993,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rline(X3)
| ~ rS(X5,X4,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f992]) ).
fof(f994,plain,
! [X3,X0,X1] :
( ~ rpoint(X1)
| X0 != X1
| ~ rline(X3)
| ron(X0,X3)
| rS(X0,X0,X3) ),
inference(equality_resolution,[],[f567]) ).
fof(f995,plain,
! [X3,X1] :
( ~ rpoint(X1)
| ~ rline(X3)
| ron(X1,X3)
| rS(X1,X1,X3) ),
inference(equality_resolution,[],[f994]) ).
fof(f1037,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| X0 = X1
| ~ rline(X5)
| X2 != X5
| ~ rline(X4)
| ~ ron(X0,X2)
| ~ ron(X0,X4)
| ~ ron(X1,X2)
| ~ ron(X1,X4)
| X2 = X4 ),
inference(equality_resolution,[],[f581]) ).
fof(f1038,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| X0 = X1
| ~ rline(X5)
| ~ rline(X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ~ ron(X1,X5)
| ~ ron(X1,X4)
| X4 = X5 ),
inference(equality_resolution,[],[f1037]) ).
fof(f1039,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X0 = X6
| ~ rline(X5)
| ~ rline(X4)
| ~ ron(X0,X5)
| ~ ron(X0,X4)
| ~ ron(X6,X5)
| ~ ron(X6,X4)
| X4 = X5 ),
inference(equality_resolution,[],[f1038]) ).
fof(f1040,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| X6 = X7
| ~ rline(X5)
| ~ rline(X4)
| ~ ron(X7,X5)
| ~ ron(X7,X4)
| ~ ron(X6,X5)
| ~ ron(X6,X4)
| X4 = X5 ),
inference(equality_resolution,[],[f1039]) ).
fof(f1498,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X0 = X1
| X0 = X3
| vangle(X3,X1,X0) = vangle(X0,X1,X3) ),
inference(equality_resolution,[],[f747]) ).
fof(f1499,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| X0 = X4
| X0 = X3
| vangle(X3,X4,X0) = vangle(X0,X4,X3) ),
inference(equality_resolution,[],[f1498]) ).
fof(f1500,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| X4 = X5
| X3 = X5
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f1499]) ).
tcf(c_49,negated_conjecture,
~ ron(sK7,vd1232),
inference(cnf_transformation,[],[f750]) ).
tcf(c_50,plain,
vangle(sK7,sK9,sK1) = vd684,
inference(cnf_transformation,[],[f751]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ron(X2,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rline(X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ( vangle(X0,X1,X2) != vd684 ) ),
inference(cnf_transformation,[],[f810]) ).
tcf(c_64,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f479]) ).
tcf(c_84,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f495]) ).
tcf(c_87,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f499]) ).
tcf(c_96,plain,
ron(sK1,vd1232),
inference(cnf_transformation,[],[f789]) ).
tcf(c_97,plain,
ron(sK9,vd1232),
inference(cnf_transformation,[],[f790]) ).
tcf(c_98,plain,
rline(vd1232),
inference(cnf_transformation,[],[f511]) ).
tcf(c_102,plain,
ron(sK9,vd1197),
inference(cnf_transformation,[],[f795]) ).
tcf(c_103,plain,
rline(vd1197),
inference(cnf_transformation,[],[f517]) ).
tcf(c_110,plain,
~ ron(sK1,vd1197),
inference(cnf_transformation,[],[f796]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ ron(X0,X2)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f993]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( ron(X1,X0)
| rS(X1,X1,X0)
| ~ rpoint(X1)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f995]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1)
| ~ ron(X0,X2)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[],[f1040]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( vangle(X0,X2,X1) = vangle(X1,X2,X0) )
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f1500]) ).
tcf(c_9268,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ( X1_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(X0_iProver_rpoint_1,X2_iProver_rpoint_1,X1_iProver_rpoint_1) = vangle(X1_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1) ),
inference(subtyping,[status(esa)],[c_332]) ).
tcf(c_9429,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rline_1: iProver_rline_1] :
( ( X0_iProver_rline_1 = X1_iProver_rline_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X1_iProver_rline_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X1_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X1_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(subtyping,[status(esa)],[c_166]) ).
tcf(c_9443,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| rS(X0_iProver_rpoint_1,X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X0_iProver_rline_1) ),
inference(subtyping,[status(esa)],[c_152]) ).
tcf(c_9444,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rS(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(subtyping,[status(esa)],[c_151]) ).
tcf(c_9489,plain,
ron(sK9,vd1232),
inference(subtyping,[status(esa)],[c_97]) ).
tcf(c_9490,plain,
ron(sK1,vd1232),
inference(subtyping,[status(esa)],[c_96]) ).
tcf(c_9497,plain,
rpoint(sK9),
inference(subtyping,[status(esa)],[c_87]) ).
tcf(c_9500,plain,
rpoint(sK7),
inference(subtyping,[status(esa)],[c_84]) ).
tcf(c_9519,plain,
rpoint(sK1),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_9525,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X2_iProver_rpoint_1,X0_iProver_rline_1)
| ( X1_iProver_rpoint_1 = X2_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ~ rpoint(X2_iProver_rpoint_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ( vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X2_iProver_rpoint_1) != vd684 ) ),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_9529,plain,
vangle(sK7,sK9,sK1) = vd684,
inference(subtyping,[status(esa)],[c_50]) ).
tcf(c_9549,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] : X0_iProver_rpoint_1 = X0_iProver_rpoint_1,
theory(equality) ).
tcf(c_9550,plain,
! [X0_iProver_rline_1: iProver_rline_1] : X0_iProver_rline_1 = X0_iProver_rline_1,
theory(equality) ).
tcf(c_9552,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1,X2_iProver_rpoint_1: iProver_rpoint_1] :
( ( X2_iProver_rpoint_1 = X0_iProver_rpoint_1 )
| ( X2_iProver_rpoint_1 != X1_iProver_rpoint_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
theory(equality) ).
tcf(c_9553,plain,
! [X0_iProver_rline_1: iProver_rline_1,X1_iProver_rline_1: iProver_rline_1,X2_iProver_rline_1: iProver_rline_1] :
( ( X2_iProver_rline_1 = X0_iProver_rline_1 )
| ( X2_iProver_rline_1 != X1_iProver_rline_1 )
| ( X0_iProver_rline_1 != X1_iProver_rline_1 ) ),
theory(equality) ).
tcf(c_9555,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rline_1: iProver_rline_1] :
( ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X1_iProver_rline_1)
| ( X0_iProver_rline_1 != X1_iProver_rline_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
theory(equality) ).
tcf(c_9563,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rline_1: iProver_rline_1,X2_iProver_rpoint_1: iProver_rpoint_1,X3_iProver_rpoint_1: iProver_rpoint_1] :
( rS(X0_iProver_rpoint_1,X2_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rS(X1_iProver_rpoint_1,X3_iProver_rpoint_1,X1_iProver_rline_1)
| ( X2_iProver_rpoint_1 != X3_iProver_rpoint_1 )
| ( X0_iProver_rline_1 != X1_iProver_rline_1 )
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
theory(equality) ).
tcf(c_9574,plain,
vd1197 = vd1197,
inference(instantiation,[status(thm)],[c_9550]) ).
tcf(c_9655,plain,
( ~ rpoint(sK9)
| ~ rline(vd1197)
| ~ ron(sK9,vd1197)
| ~ rS(sK9,sK9,vd1197) ),
inference(instantiation,[status(thm)],[c_9444]) ).
tcf(c_16091,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ron(sK1,X0_iProver_rline_1)
| rS(sK1,sK1,X0_iProver_rline_1)
| ~ rpoint(sK1)
| ~ rline(X0_iProver_rline_1) ),
inference(instantiation,[status(thm)],[c_9443]) ).
tcf(c_16092,plain,
( ron(sK1,vd1197)
| rS(sK1,sK1,vd1197)
| ~ rpoint(sK1)
| ~ rline(vd1197) ),
inference(instantiation,[status(thm)],[c_16091]) ).
tcf(c_16755,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = sK1 )
| ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ( vangle(X0_iProver_rpoint_1,X1_iProver_rpoint_1,sK1) = vangle(sK1,X1_iProver_rpoint_1,X0_iProver_rpoint_1) )
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1) ),
inference(superposition,[status(thm)],[c_9519,c_9268]) ).
tcf(c_16788,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( sK7 = sK1 )
| ( X0_iProver_rpoint_1 = sK7 )
| ( vangle(sK7,X0_iProver_rpoint_1,sK1) = vangle(sK1,X0_iProver_rpoint_1,sK7) )
| ~ rpoint(X0_iProver_rpoint_1) ),
inference(superposition,[status(thm)],[c_9500,c_16755]) ).
tcf(c_16802,plain,
( ( sK7 = sK1 )
| ( sK7 = sK9 )
| ( vangle(sK7,sK9,sK1) = vangle(sK1,sK9,sK7) ) ),
inference(superposition,[status(thm)],[c_9497,c_16788]) ).
tcf(c_16897,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ron(sK7,X0_iProver_rline_1)
| ( sK9 = sK1 )
| ( sK7 = sK1 )
| ( sK7 = sK9 )
| ~ rpoint(sK1)
| ~ rpoint(sK9)
| ~ rpoint(sK7)
| ~ rline(X0_iProver_rline_1)
| ~ ron(sK1,X0_iProver_rline_1)
| ~ ron(sK9,X0_iProver_rline_1)
| ( vangle(sK7,sK9,sK1) != vd684 ) ),
inference(superposition,[status(thm)],[c_16802,c_9525]) ).
tcf(c_17154,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ron(sK7,vd1232)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ( vd1232 != X0_iProver_rline_1 )
| ( sK7 != X0_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_9555]) ).
tcf(c_17156,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rline_1: iProver_rline_1] :
( ron(sK1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,X1_iProver_rline_1)
| ( sK1 != X0_iProver_rpoint_1 )
| ( X0_iProver_rline_1 != X1_iProver_rline_1 ) ),
inference(instantiation,[status(thm)],[c_9555]) ).
tcf(c_17225,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ron(sK7,vd1232)
| ~ ron(sK7,X0_iProver_rline_1)
| ( vd1232 != X0_iProver_rline_1 )
| ( sK7 != sK7 ) ),
inference(instantiation,[status(thm)],[c_17154]) ).
tcf(c_17226,plain,
sK7 = sK7,
inference(instantiation,[status(thm)],[c_9549]) ).
tcf(c_17288,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rline_1: iProver_rline_1] :
( rS(X0_iProver_rpoint_1,X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rS(sK1,sK1,X1_iProver_rline_1)
| ( X1_iProver_rpoint_1 != sK1 )
| ( X0_iProver_rline_1 != X1_iProver_rline_1 )
| ( X0_iProver_rpoint_1 != sK1 ) ),
inference(instantiation,[status(thm)],[c_9563]) ).
tcf(c_17289,plain,
( rS(sK9,sK9,vd1197)
| ~ rS(sK1,sK1,vd1197)
| ( vd1197 != vd1197 )
| ( sK9 != sK1 ) ),
inference(instantiation,[status(thm)],[c_17288]) ).
tcf(c_17305,plain,
! [X0_iProver_rline_1: iProver_rline_1,X1_iProver_rline_1: iProver_rline_1] :
( ron(sK1,X0_iProver_rline_1)
| ~ ron(sK1,X1_iProver_rline_1)
| ( sK1 != sK1 )
| ( X0_iProver_rline_1 != X1_iProver_rline_1 ) ),
inference(instantiation,[status(thm)],[c_17156]) ).
tcf(c_17306,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_9549]) ).
tcf(c_17356,plain,
vd1232 = vd1232,
inference(instantiation,[status(thm)],[c_9550]) ).
tcf(c_17361,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ( X0_iProver_rline_1 = vd1232 )
| ( X0_iProver_rpoint_1 = sK9 )
| ~ rpoint(sK9)
| ~ rline(vd1232)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(sK9,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(superposition,[status(thm)],[c_9489,c_9429]) ).
tcf(c_17395,plain,
! [X0_iProver_rline_1: iProver_rline_1,X1_iProver_rline_1: iProver_rline_1] :
( ( vd1232 = X0_iProver_rline_1 )
| ( vd1232 != X1_iProver_rline_1 )
| ( X0_iProver_rline_1 != X1_iProver_rline_1 ) ),
inference(instantiation,[status(thm)],[c_9553]) ).
tcf(c_17436,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ron(sK7,vd1232)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ( vd1232 != vd1232 )
| ( sK7 != X0_iProver_rpoint_1 ) ),
inference(instantiation,[status(thm)],[c_17154]) ).
tcf(c_17437,plain,
( ron(sK7,vd1232)
| ~ ron(sK9,vd1232)
| ( vd1232 != vd1232 )
| ( sK7 != sK9 ) ),
inference(instantiation,[status(thm)],[c_17436]) ).
tcf(c_17503,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ron(sK1,X0_iProver_rline_1)
| ~ ron(sK1,vd1232)
| ( sK1 != sK1 )
| ( X0_iProver_rline_1 != vd1232 ) ),
inference(instantiation,[status(thm)],[c_17305]) ).
tcf(c_17912,plain,
! [X0_iProver_rline_1: iProver_rline_1] :
( ( vd1232 = X0_iProver_rline_1 )
| ( vd1232 != vd1232 )
| ( X0_iProver_rline_1 != vd1232 ) ),
inference(instantiation,[status(thm)],[c_17395]) ).
tcf(c_18066,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ( X0_iProver_rpoint_1 != X1_iProver_rpoint_1 ) ),
inference(resolution,[status(thm)],[c_9555,c_9550]) ).
tcf(c_18383,plain,
( ron(sK7,vd1232)
| ~ ron(sK1,vd1232)
| ( vd1232 != vd1232 )
| ( sK7 != sK1 ) ),
inference(instantiation,[status(thm)],[c_17436]) ).
tcf(c_18588,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ( X0_iProver_rline_1 = vd1232 )
| ( X0_iProver_rpoint_1 = sK9 )
| ~ rpoint(sK9)
| ~ rline(vd1232)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(sK9,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(resolution,[status(thm)],[c_9429,c_9489]) ).
tcf(c_18732,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ ron(sK9,X0_iProver_rline_1)
| ~ rline(X0_iProver_rline_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ( X0_iProver_rpoint_1 = sK9 ) ),
inference(global_subsumption_just,[status(thm)],[c_18588,c_103,c_98,c_87,c_84,c_64,c_102,c_97,c_96,c_49,c_110,c_9574,c_9655,c_9529,c_16092,c_16897,c_17225,c_17226,c_17289,c_17306,c_17356,c_17361,c_17437,c_17503,c_17912,c_18383]) ).
tcf(c_18733,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ( X0_iProver_rpoint_1 = sK9 )
| ~ rpoint(X0_iProver_rpoint_1)
| ~ rline(X0_iProver_rline_1)
| ~ ron(sK9,X0_iProver_rline_1)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(renaming,[status(thm)],[c_18732]) ).
tcf(c_18758,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = sK9 )
| ~ rline(vd1232)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X0_iProver_rpoint_1,vd1232) ),
inference(resolution,[status(thm)],[c_18733,c_9489]) ).
tcf(c_18759,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = sK9 )
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ rpoint(X0_iProver_rpoint_1) ),
inference(global_subsumption_just,[status(thm)],[c_18758,c_98,c_18758]) ).
tcf(c_18760,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = sK9 )
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X0_iProver_rpoint_1,vd1232) ),
inference(renaming,[status(thm)],[c_18759]) ).
tcf(c_18825,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( X1_iProver_rpoint_1 = X0_iProver_rpoint_1 )
| ~ rpoint(X1_iProver_rpoint_1)
| ~ ron(X1_iProver_rpoint_1,vd1232)
| ( X0_iProver_rpoint_1 != sK9 ) ),
inference(resolution,[status(thm)],[c_18760,c_9552]) ).
tcf(c_19054,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ( X0_iProver_rpoint_1 = X1_iProver_rpoint_1 )
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X1_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,vd1232) ),
inference(resolution,[status(thm)],[c_18825,c_18760]) ).
tcf(c_19092,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1,X1_iProver_rpoint_1: iProver_rpoint_1] :
( ron(X1_iProver_rpoint_1,X0_iProver_rline_1)
| ~ rpoint(X1_iProver_rpoint_1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X1_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(resolution,[status(thm)],[c_19054,c_18066]) ).
tcf(c_19267,plain,
! [X0_iProver_rpoint_1: iProver_rpoint_1,X0_iProver_rline_1: iProver_rline_1] :
( ron(sK1,X0_iProver_rline_1)
| ~ rpoint(sK1)
| ~ rpoint(X0_iProver_rpoint_1)
| ~ ron(X0_iProver_rpoint_1,vd1232)
| ~ ron(X0_iProver_rpoint_1,X0_iProver_rline_1) ),
inference(resolution,[status(thm)],[c_19092,c_9490]) ).
tcf(c_19268,plain,
( ron(sK1,vd1197)
| ~ rpoint(sK1)
| ~ rpoint(sK9)
| ~ ron(sK9,vd1197)
| ~ ron(sK9,vd1232) ),
inference(instantiation,[status(thm)],[c_19267]) ).
tcf(c_19269,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19268,c_110,c_97,c_102,c_64,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO294+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n001.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 : Wed Sep 23 11:56:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 143.71/20.93 % SZS status Started for theBenchmark.p
% 143.71/20.93 % SZS status Theorem for theBenchmark.p
% 143.71/20.93
% 143.71/20.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 143.71/20.93
% 143.71/20.93 % ------ iProver source info
% 143.71/20.93
% 143.71/20.93 % git: date: 2026-07-19 20:42:38 +0200
% 143.71/20.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 143.71/20.93 % git: non_committed_changes: false
% 143.71/20.93
% 143.71/20.93 % ------ Parsing...
% 143.71/20.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 143.71/20.93
% 143.71/20.93 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 143.71/20.93
% 143.71/20.93 % ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e %
% 143.71/20.93
% 143.71/20.93 % ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 % ------ Problem Properties
% 143.71/20.93
% 143.71/20.93 %
% 143.71/20.93 % clauses 279
% 143.71/20.93 % conjectures 1
% 143.71/20.93 % EPR 83
% 143.71/20.93 % Horn 198
% 143.71/20.93 % unary 42
% 143.71/20.93 % binary 42
% 143.71/20.93 % lits 1525
% 143.71/20.93 % lits eq 193
% 143.71/20.93 % fd_pure 0
% 143.71/20.93 % fd_pseudo 0
% 143.71/20.93 % fd_cond 0
% 143.71/20.93 % fd_pseudo_cond 50
% 143.71/20.93 % AC symbols 0
% 143.71/20.93
% 143.71/20.93 % ------ Input Options Time Limit: Unbounded
% 143.71/20.93
% 143.71/20.93
% 143.71/20.93 % ------
% 143.71/20.93 % Current options:
% 143.71/20.93 % ------
% 143.71/20.93
% 143.71/20.93
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % ------ Proving...
% 143.71/20.93 %
% 143.71/20.93
% 143.71/20.93 % SZS status Theorem for theBenchmark.p
% 143.71/20.93
% 143.71/20.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 143.71/20.93
% 143.71/20.93
%------------------------------------------------------------------------------