%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO298+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 56.70s 13.93s
% Output : CNFRefutation 56.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f93ERROR: Could not build tree for root c_43191ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
vd1201 != vd1187,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(320, 1251, 0)') ).
fof(f4,axiom,
~ rR(vd1185,vd1201,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(319))') ).
fof(f5,axiom,
~ rR(vd1185,vd1201,vd1187),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(316)') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& X0 != X1
& X0 != X2
& X1 != X2
& rline(X4)
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& X3 = X4 )
=> ( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f7,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f8,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(315)), 0)') ).
fof(f9,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof(f10,axiom,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f27,axiom,
? [X0] :
( rpoint(X0)
& vd1199 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f166,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ),
inference(flattening,[],[f165]) ).
fof(f167,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,[],[f12]) ).
fof(f188,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(flattening,[],[f188]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| ~ rR(X1,X0,X2)
| ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f259,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| ~ rR(X1,X0,X2)
| ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(flattening,[],[f258]) ).
fof(f382,plain,
( rpoint(sK1)
& vd1201 = sK1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f10]) ).
fof(f383,plain,
( rpoint(sK7)
& vd1178 = sK7
& rpoint(sK6)
& vd1179 = sK6
& rpoint(sK5)
& vd1180 = sK5
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK4)
& vd1185 = sK4
& rpoint(sK3)
& vd1186 = sK3
& rpoint(sK2)
& vd1187 = sK2
& 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,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7)],[f167]) ).
fof(f385,plain,
( rpoint(sK9)
& vd1199 = sK9 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f27]) ).
fof(f386,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( ( vf(X0,X1) != v0
| X0 = X1 )
& ( X0 != X1
| vf(X0,X1) = v0 ) ) ),
inference(nnf_transformation,[],[f189]) ).
fof(f458,plain,
~ rR(vd1187,vd1185,vd1201),
inference(cnf_transformation,[],[f164]) ).
fof(f459,plain,
~ rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[],[f164]) ).
fof(f460,plain,
vd1201 != vd1187,
inference(cnf_transformation,[],[f3]) ).
fof(f462,plain,
~ rR(vd1185,vd1201,vd1187),
inference(cnf_transformation,[],[f5]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f467,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f382]) ).
fof(f468,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f382]) ).
fof(f470,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f383]) ).
fof(f471,plain,
vd1178 = sK7,
inference(cnf_transformation,[],[f383]) ).
fof(f474,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f383]) ).
fof(f475,plain,
vd1180 = sK5,
inference(cnf_transformation,[],[f383]) ).
fof(f477,plain,
vd1178 != vd1180,
inference(cnf_transformation,[],[f383]) ).
fof(f479,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f383]) ).
fof(f480,plain,
vd1185 = sK4,
inference(cnf_transformation,[],[f383]) ).
fof(f483,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f383]) ).
fof(f484,plain,
vd1187 = sK2,
inference(cnf_transformation,[],[f383]) ).
fof(f491,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f15]) ).
fof(f496,plain,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
inference(cnf_transformation,[],[f20]) ).
fof(f505,plain,
vd1199 = sK9,
inference(cnf_transformation,[],[f385]) ).
fof(f508,plain,
ron(vd1201,vd1232),
inference(cnf_transformation,[],[f30]) ).
fof(f512,plain,
vf(vd1185,vd1187) = vf(vd1199,vd1201),
inference(cnf_transformation,[],[f34]) ).
fof(f520,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f42]) ).
fof(f521,plain,
rline(vd1232),
inference(cnf_transformation,[],[f43]) ).
fof(f523,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f45]) ).
fof(f533,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != v0
| X0 = X1 ),
inference(cnf_transformation,[],[f386]) ).
fof(f586,plain,
v0 = vd684,
inference(cnf_transformation,[],[f86]) ).
fof(f608,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X1,X0,X2)
| rR(X1,X2,X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f761,plain,
~ rR(sK1,sK4,sK2),
inference(definition_unfolding,[],[f459,f468,f480,f484]) ).
fof(f762,plain,
~ rR(sK2,sK4,sK1),
inference(definition_unfolding,[],[f458,f484,f480,f468]) ).
fof(f763,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f460,f468,f484]) ).
fof(f765,plain,
~ rR(sK4,sK1,sK2),
inference(definition_unfolding,[],[f462,f480,f468,f484]) ).
fof(f774,plain,
sK5 != sK7,
inference(definition_unfolding,[],[f477,f471,f475]) ).
fof(f777,plain,
ron(sK2,vd1232),
inference(definition_unfolding,[],[f491,f484]) ).
fof(f782,plain,
vf(sK7,sK5) = vf(sK9,sK1),
inference(definition_unfolding,[],[f496,f471,f475,f505,f468]) ).
fof(f790,plain,
ron(sK1,vd1232),
inference(definition_unfolding,[],[f508,f468]) ).
fof(f793,plain,
vf(sK4,sK2) = vf(sK9,sK1),
inference(definition_unfolding,[],[f512,f480,f484,f505,f468]) ).
fof(f800,plain,
ron(sK4,vd1232),
inference(definition_unfolding,[],[f520,f480]) ).
fof(f802,plain,
sK4 = sK9,
inference(definition_unfolding,[],[f523,f480,f505]) ).
fof(f810,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != vd684
| X0 = X1 ),
inference(definition_unfolding,[],[f533,f586]) ).
fof(f819,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ),
inference(equality_resolution,[],[f463]) ).
fof(f820,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X0 = X1
| X0 = X5
| X1 = X5
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X5,X4)
| rR(X5,X0,X1)
| rR(X0,X1,X5)
| rR(X1,X0,X5) ),
inference(equality_resolution,[],[f819]) ).
fof(f821,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| ~ rpoint(X5)
| X0 = X6
| X0 = X5
| X5 = X6
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X6,X4)
| ~ ron(X5,X4)
| rR(X5,X0,X6)
| rR(X0,X6,X5)
| rR(X6,X0,X5) ),
inference(equality_resolution,[],[f820]) ).
fof(f822,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rpoint(X5)
| X6 = X7
| X5 = X7
| X5 = X6
| ~ rline(X4)
| ~ ron(X7,X4)
| ~ ron(X6,X4)
| ~ ron(X5,X4)
| rR(X5,X7,X6)
| rR(X7,X6,X5)
| rR(X6,X7,X5) ),
inference(equality_resolution,[],[f821]) ).
fof(f846,plain,
! [X2,X3,X0] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| vf(X0,X2) != vd684
| X0 = X2 ),
inference(equality_resolution,[],[f810]) ).
fof(f847,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 != vf(X3,X2)
| X2 = X3 ),
inference(equality_resolution,[],[f846]) ).
fof(f1052,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| ~ rR(X1,X0,X3)
| rR(X1,X3,X0) ),
inference(equality_resolution,[],[f608]) ).
fof(f1053,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X0,X3)
| rR(X4,X3,X0) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1054,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X5,X3)
| rR(X4,X3,X5) ),
inference(equality_resolution,[],[f1053]) ).
tcf(c_49,negated_conjecture,
~ rR(sK1,sK4,sK2),
inference(cnf_transformation,[],[f761]) ).
tcf(c_50,negated_conjecture,
~ rR(sK2,sK4,sK1),
inference(cnf_transformation,[],[f762]) ).
tcf(c_51,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f763]) ).
tcf(c_53,plain,
~ rR(sK4,sK1,sK2),
inference(cnf_transformation,[],[f765]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rR(X3,X2,X0)
| rR(X2,X0,X3)
| rR(X0,X2,X3)
| ( X2 = X3 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ ron(X3,X1)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[],[f822]) ).
tcf(c_58,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f467]) ).
tcf(c_64,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f483]) ).
tcf(c_66,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f479]) ).
tcf(c_68,plain,
sK7 != sK5,
inference(cnf_transformation,[],[f774]) ).
tcf(c_70,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f474]) ).
tcf(c_72,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f470]) ).
tcf(c_75,plain,
ron(sK2,vd1232),
inference(cnf_transformation,[],[f777]) ).
tcf(c_80,plain,
vf(sK7,sK5) = vf(sK9,sK1),
inference(cnf_transformation,[],[f782]) ).
tcf(c_90,plain,
ron(sK1,vd1232),
inference(cnf_transformation,[],[f790]) ).
tcf(c_94,plain,
vf(sK4,sK2) = vf(sK9,sK1),
inference(cnf_transformation,[],[f793]) ).
tcf(c_102,plain,
ron(sK4,vd1232),
inference(cnf_transformation,[],[f800]) ).
tcf(c_103,plain,
rline(vd1232),
inference(cnf_transformation,[],[f521]) ).
tcf(c_105,plain,
sK4 = sK9,
inference(cnf_transformation,[],[f802]) ).
tcf(c_115,plain,
! [X0: $i] :
( ( vf(X0,X0) = vd684 )
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f1517]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X0,X1) != vd684 ) ),
inference(cnf_transformation,[],[f847]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i,X2: $i] :
( rR(X0,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f1054]) ).
tcf(c_696,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1] :
( rR(X0_iProver_rinside_1,X2_iProver_rinside_1,X1_iProver_rinside_1)
| ~ rpoint(X2_iProver_rinside_1)
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rR(X0_iProver_rinside_1,X1_iProver_rinside_1,X2_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_192]) ).
tcf(c_771,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( X0_iProver_rinside_1 = X1_iProver_rinside_1 )
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1)
| ( vf(X0_iProver_rinside_1,X1_iProver_rinside_1) != vd684 ) ),
inference(subtyping,[status(esa)],[c_116]) ).
tcf(c_772,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( vf(X0_iProver_rinside_1,X0_iProver_rinside_1) = vd684 )
| ~ rpoint(X0_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_115]) ).
tcf(c_777,plain,
sK4 = sK9,
inference(subtyping,[status(esa)],[c_105]) ).
tcf(c_784,plain,
vf(sK4,sK2) = vf(sK9,sK1),
inference(subtyping,[status(esa)],[c_94]) ).
tcf(c_795,plain,
vf(sK7,sK5) = vf(sK9,sK1),
inference(subtyping,[status(esa)],[c_80]) ).
tcf(c_806,plain,
sK7 != sK5,
inference(subtyping,[status(esa)],[c_68]) ).
tcf(c_820,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1] :
( rR(X2_iProver_rinside_1,X1_iProver_rinside_1,X0_iProver_rinside_1)
| rR(X1_iProver_rinside_1,X0_iProver_rinside_1,X2_iProver_rinside_1)
| rR(X0_iProver_rinside_1,X1_iProver_rinside_1,X2_iProver_rinside_1)
| ( X1_iProver_rinside_1 = X2_iProver_rinside_1 )
| ( X0_iProver_rinside_1 = X2_iProver_rinside_1 )
| ( X0_iProver_rinside_1 = X1_iProver_rinside_1 )
| ~ rpoint(X2_iProver_rinside_1)
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rline(X0_iProver_rinside_2)
| ~ ron(X2_iProver_rinside_1,X0_iProver_rinside_2)
| ~ ron(X1_iProver_rinside_1,X0_iProver_rinside_2)
| ~ ron(X0_iProver_rinside_1,X0_iProver_rinside_2) ),
inference(subtyping,[status(esa)],[c_54]) ).
tcf(c_822,plain,
sK1 != sK2,
inference(subtyping,[status(esa)],[c_51]) ).
tcf(c_826,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] : X0_iProver_rinside_1 = X0_iProver_rinside_1,
theory(equality) ).
tcf(c_828,plain,
! [X0_iProver_vg_0: iProver_vg_0] : X0_iProver_vg_0 = X0_iProver_vg_0,
theory(equality) ).
tcf(c_831,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0,X2_iProver_vg_0: iProver_vg_0] :
( ( X2_iProver_vg_0 = X0_iProver_vg_0 )
| ( X2_iProver_vg_0 != X1_iProver_vg_0 )
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
theory(equality) ).
tcf(c_838,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1,X3_iProver_rinside_1: iProver_rinside_1] :
( ( vf(X0_iProver_rinside_1,X2_iProver_rinside_1) = vf(X1_iProver_rinside_1,X3_iProver_rinside_1) )
| ( X2_iProver_rinside_1 != X3_iProver_rinside_1 )
| ( X0_iProver_rinside_1 != X1_iProver_rinside_1 ) ),
theory(equality) ).
tcf(c_850,plain,
sK4 = sK4,
inference(instantiation,[status(thm)],[c_826]) ).
tcf(c_990,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2] :
( rR(sK2,sK1,X0_iProver_rinside_1)
| rR(sK1,X0_iProver_rinside_1,sK2)
| rR(X0_iProver_rinside_1,sK1,sK2)
| ( sK1 = sK2 )
| ( X0_iProver_rinside_1 = sK2 )
| ( X0_iProver_rinside_1 = sK1 )
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rline(X0_iProver_rinside_2)
| ~ ron(sK2,X0_iProver_rinside_2)
| ~ ron(sK1,X0_iProver_rinside_2)
| ~ ron(X0_iProver_rinside_1,X0_iProver_rinside_2) ),
inference(instantiation,[status(thm)],[c_820]) ).
tcf(c_991,plain,
( rR(sK2,sK1,sK4)
| rR(sK4,sK1,sK2)
| rR(sK1,sK4,sK2)
| ( sK4 = sK2 )
| ( sK4 = sK1 )
| ( sK1 = sK2 )
| ~ rpoint(sK2)
| ~ rpoint(sK4)
| ~ rpoint(sK1)
| ~ rline(vd1232)
| ~ ron(sK2,vd1232)
| ~ ron(sK4,vd1232)
| ~ ron(sK1,vd1232) ),
inference(instantiation,[status(thm)],[c_990]) ).
tcf(c_1134,plain,
( ( sK7 = sK5 )
| ~ rpoint(sK5)
| ~ rpoint(sK7)
| ( vf(sK7,sK5) != vd684 ) ),
inference(instantiation,[status(thm)],[c_771]) ).
tcf(c_2471,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK7,sK5) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK9,sK1) ) ),
inference(resolution,[status(thm)],[c_831,c_795]) ).
tcf(c_2479,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0] :
( ( X1_iProver_vg_0 = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
inference(resolution,[status(thm)],[c_831,c_828]) ).
tcf(c_2620,plain,
vf(sK7,sK5) = vf(sK4,sK2),
inference(resolution,[status(thm)],[c_2471,c_784]) ).
tcf(c_2653,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK7,sK5) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK4,sK2) ) ),
inference(resolution,[status(thm)],[c_2620,c_831]) ).
tcf(c_2757,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK7,sK5) = vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X1_iProver_rinside_1 != sK1 )
| ( X0_iProver_rinside_1 != sK9 ) ),
inference(resolution,[status(thm)],[c_838,c_2471]) ).
tcf(c_2766,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK7,sK5) = vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X1_iProver_rinside_1 != sK2 )
| ( X0_iProver_rinside_1 != sK4 ) ),
inference(resolution,[status(thm)],[c_838,c_2653]) ).
tcf(c_3085,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_vg_0: iProver_vg_0,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK7,sK5) = X0_iProver_vg_0 )
| ( X1_iProver_rinside_1 != sK1 )
| ( X0_iProver_vg_0 != vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X0_iProver_rinside_1 != sK9 ) ),
inference(resolution,[status(thm)],[c_2757,c_831]) ).
tcf(c_3086,plain,
( ( vf(sK7,sK5) = vd684 )
| ( vd684 != vf(sK4,sK4) )
| ( sK4 != sK9 )
| ( sK4 != sK1 ) ),
inference(instantiation,[status(thm)],[c_3085]) ).
tcf(c_4649,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_vg_0: iProver_vg_0,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK7,sK5) = X0_iProver_vg_0 )
| ( X1_iProver_rinside_1 != sK2 )
| ( X0_iProver_vg_0 != vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X0_iProver_rinside_1 != sK4 ) ),
inference(resolution,[status(thm)],[c_2766,c_831]) ).
tcf(c_4650,plain,
( ( vf(sK7,sK5) = vd684 )
| ( vd684 != vf(sK4,sK4) )
| ( sK4 != sK2 )
| ( sK4 != sK4 ) ),
inference(instantiation,[status(thm)],[c_4649]) ).
tcf(c_7676,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( vd684 = vf(X0_iProver_rinside_1,X0_iProver_rinside_1) )
| ~ rpoint(X0_iProver_rinside_1) ),
inference(resolution,[status(thm)],[c_2479,c_772]) ).
tcf(c_7677,plain,
( ( vd684 = vf(sK4,sK4) )
| ~ rpoint(sK4) ),
inference(instantiation,[status(thm)],[c_7676]) ).
tcf(c_43189,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( rR(sK2,X0_iProver_rinside_1,sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rR(sK2,sK1,X0_iProver_rinside_1) ),
inference(instantiation,[status(thm)],[c_696]) ).
tcf(c_43190,plain,
( rR(sK2,sK4,sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK4)
| ~ rpoint(sK1)
| ~ rR(sK2,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_43189]) ).
tcf(c_43191,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43190,c_7677,c_4650,c_3086,c_1134,c_991,c_822,c_806,c_777,c_850,c_53,c_49,c_50,c_75,c_90,c_102,c_58,c_64,c_66,c_70,c_72,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO298+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Wed Sep 23 11:52:18 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.45
% 0.13/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.45
% 0.13/0.45 % Detected problem language: tptp
% 0.13/0.46 % Proving...
% 56.70/13.93 % SZS status Started for theBenchmark.p
% 56.70/13.93 % SZS status Theorem for theBenchmark.p
% 56.70/13.93
% 56.70/13.93 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 56.70/13.93
% 56.70/13.93 % ------ iProver source info
% 56.70/13.93
% 56.70/13.93 % git: date: 2026-07-19 20:42:38 +0200
% 56.70/13.93 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 56.70/13.93 % git: non_committed_changes: false
% 56.70/13.93
% 56.70/13.93 % ------ Parsing...
% 56.70/13.93 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 56.70/13.93
% 56.70/13.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 56.70/13.93
% 56.70/13.93 % ------ Preprocessing...%
% 56.70/13.93
% 56.70/13.93 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 56.70/13.93 % ------ Proving...
% 56.70/13.93 % ------ Problem Properties
% 56.70/13.93
% 56.70/13.93 %
% 56.70/13.93 % clauses 275
% 56.70/13.93 % conjectures 2
% 56.70/13.93 % EPR 78
% 56.70/13.93 % Horn 200
% 56.70/13.93 % unary 48
% 56.70/13.93 % binary 32
% 56.70/13.93 % lits 1516
% 56.70/13.93 % lits eq 195
% 56.70/13.93 % fd_pure 0
% 56.70/13.93 % fd_pseudo 0
% 56.70/13.93 % fd_cond 0
% 56.70/13.93 % fd_pseudo_cond 50
% 56.70/13.93 % AC symbols 0
% 56.70/13.93
% 56.70/13.93 % ------ Input Options Time Limit: Unbounded
% 56.70/13.93
% 56.70/13.93
% 56.70/13.93 % ------
% 56.70/13.93 % Current options:
% 56.70/13.93 % ------
% 56.70/13.93
% 56.70/13.93
% 56.70/13.93 %
% 56.70/13.93
% 56.70/13.93 % ------ Proving...
% 56.70/13.93 %
% 56.70/13.93
% 56.70/13.93 % SZS status Theorem for theBenchmark.p
% 56.70/13.93
% 56.70/13.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 56.70/13.93
% 56.70/13.93
%------------------------------------------------------------------------------