%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 01:19:58 PM UTC 2026
% Result : Theorem 3.30s 1.26s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 99 ( 25 unt; 0 def)
% Number of atoms : 314 ( 17 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 351 ( 136 ~; 139 |; 61 &)
% ( 9 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn 162 !; 24 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( part_of(X3,X2)
| part_of(X2,X3) ) )
& incident_c(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',end_point_defn) ).
fof(f4,axiom,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',inner_point_defn) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',open_defn) ).
fof(f10,axiom,
! [X0] :
? [X1] : inner_point(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c3) ).
fof(f19,axiom,
! [X0,X1] :
( start_point(X0,X1)
<=> ( ! [X2] :
( ( incident_o(X2,X1)
& X0 != X2 )
=> ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',start_point_defn) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ordered_by(X0,X1,X2)
=> ( incident_o(X2,X0)
& incident_o(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o1) ).
fof(f22,axiom,
! [X0] :
? [X1] :
( ! [X2] :
( incident_o(X2,X0)
<=> incident_c(X2,X1) )
& open(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o2) ).
fof(f24,axiom,
! [X0] :
? [X1] : start_point(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax',o4) ).
fof(f28,conjecture,
! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( start_point(X0,X1)
=> ( ! [X2] :
( ( incident_o(X2,X1)
& X0 != X2 )
=> ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f34,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f35,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) ),
inference(flattening,[],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( ~ start_point(X0,X1)
| ( ! [X2] :
( ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f52,plain,
! [X0,X1] :
( ~ start_point(X0,X1)
| ( ! [X2] :
( ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ ordered_by(X0,X1,X2)
| ( incident_o(X2,X0)
& incident_o(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f57,plain,
? [X0,X1] :
( incident_o(X1,X0)
<~> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) )
& ( ? [X2,X3] :
( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X2,X3] :
( ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3) )
& incident_c(X0,X1) ) )
& ( ? [X2,X3] :
( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X4,X5] :
( ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1)
| part_of(X5,X4)
| part_of(X4,X5) )
& incident_c(X0,X1) ) )
& ( ? [X2,X3] :
( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( ~ end_point(X0,X1)
| ( ! [X4,X5] :
( ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1)
| part_of(X5,X4)
| part_of(X4,X5) )
& incident_c(X0,X1) ) )
& ( ( incident_c(X0,sK3(X0,X1))
& incident_c(X0,sK2(X0,X1))
& part_of(sK3(X0,X1),X1)
& part_of(sK2(X0,X1),X1)
& ~ part_of(sK3(X0,X1),sK2(X0,X1))
& ~ part_of(sK2(X0,X1),sK3(X0,X1)) )
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( ~ inner_point(X0,X1)
| ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) )
& ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f70,plain,
! [X0,X1] :
( ( ~ inner_point(X0,X1)
| ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) )
& ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,X1) ) ),
inference(flattening,[],[f69]) ).
fof(f76,plain,
! [X0] :
( ( ~ open(X0)
| ? [X1] : end_point(X1,X0) )
& ( ! [X1] : ~ end_point(X1,X0)
| open(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f77,plain,
! [X0] :
( ( ~ open(X0)
| ? [X2] : end_point(X2,X0) )
& ( ! [X1] : ~ end_point(X1,X0)
| open(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( ~ open(X0)
| end_point(sK6(X0),X0) )
& ( ! [X1] : ~ end_point(X1,X0)
| open(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f77]) ).
fof(f79,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f10]) ).
fof(f92,plain,
! [X0] :
? [X1] :
( ! [X2] :
( ( ~ incident_o(X2,X0)
| incident_c(X2,X1) )
& ( ~ incident_c(X2,X1)
| incident_o(X2,X0) ) )
& open(X1) ),
inference(nnf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0] :
( ! [X2] :
( ( ~ incident_o(X2,X0)
| incident_c(X2,sK14(X0)) )
& ( ~ incident_c(X2,sK14(X0))
| incident_o(X2,X0) ) )
& open(sK14(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f92]) ).
fof(f97,plain,
! [X0] : start_point(sK17(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X1,sK17(X0))],[f24]) ).
fof(f105,plain,
? [X0,X1] :
( ( incident_o(X1,X0)
| ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) )
& ( ~ incident_o(X1,X0)
| ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f106,plain,
? [X0,X1] :
( ( incident_o(X1,X0)
| ? [X3] :
( ordered_by(X0,X3,X1)
| ordered_by(X0,X1,X3) ) )
& ( ~ incident_o(X1,X0)
| ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) ) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
( ( incident_o(sK23,sK22)
| ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24) )
& ( ~ incident_o(sK23,sK22)
| ! [X2] :
( ~ ordered_by(sK22,X2,sK23)
& ~ ordered_by(sK22,sK23,X2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X3,sK24)],[f106]) ).
fof(f118,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f125,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f126,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f127,plain,
! [X0,X1] :
( end_point(X0,X1)
| ~ incident_c(X0,X1)
| inner_point(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f136,plain,
! [X0] :
( ~ open(X0)
| end_point(sK6(X0),X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f79]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f166,plain,
! [X2,X0] :
( ~ incident_o(X2,X0)
| incident_c(X2,sK14(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f167,plain,
! [X2,X0] :
( ~ incident_c(X2,sK14(X0))
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f174,plain,
! [X0] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f97]) ).
fof(f184,plain,
( incident_o(sK23,sK22)
| ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24) ),
inference(cnf_transformation,[],[f107]) ).
fof(f185,plain,
! [X2] :
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,X2,sK23) ),
inference(cnf_transformation,[],[f107]) ).
fof(f186,plain,
! [X2] :
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,sK23,X2) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_78,plain,
! [X0: $i] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_81,plain,
! [X0: $i] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f140]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ordered_by(X1,X2,X0)
| ( X0 = X2 )
| ~ start_point(X2,X1)
| ~ incident_o(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_107,plain,
! [X0: $i] : open(sK14(X0)),
inference(cnf_transformation,[],[f168]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( incident_o(X0,X1)
| ~ incident_c(X0,sK14(X1)) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( incident_c(X0,sK14(X1))
| ~ incident_o(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_115,plain,
! [X0: $i] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f174]) ).
tcf(c_125,negated_conjecture,
! [X0: $i] :
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,sK23,X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_126,negated_conjecture,
! [X0: $i] :
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,X0,sK23) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_127,negated_conjecture,
( incident_o(sK23,sK22)
| ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_246,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_105]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_106]) ).
tcf(c_258,plain,
! [X0: $i] :
( ~ ordered_by(sK22,sK23,X0)
| ~ incident_o(sK23,sK22) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
tcf(c_259,plain,
! [X0: $i] :
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,sK23,X0) ),
inference(renaming,[status(thm)],[c_258]) ).
tcf(c_260,plain,
! [X0: $i] :
( ~ ordered_by(sK22,X0,sK23)
| ~ incident_o(sK23,sK22) ),
inference(prop_impl_just,[status(thm)],[c_126]) ).
tcf(c_261,plain,
! [X0: $i] :
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,X0,sK23) ),
inference(renaming,[status(thm)],[c_260]) ).
tcf(c_515,plain,
( incident_o(sK23,sK22)
| ordered_by(sK22,sK24,sK23) ),
inference(backward_subsumption_resolution,[status(thm)],[c_127,c_246]) ).
tcf(c_517,plain,
! [X0: $i] : ~ ordered_by(sK22,sK23,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_259,c_246]) ).
tcf(c_523,plain,
incident_o(sK23,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_515,c_248]) ).
tcf(c_527,plain,
! [X0: $i] : ~ ordered_by(sK22,X0,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_261,c_523]) ).
tcf(c_1412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ordered_by(X0,X2,X3)
| ( X2 = X3 )
| ~ incident_o(X3,X0)
| ( X0 != X1 )
| ( sK17(X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_104,c_115]) ).
tcf(c_1413,plain,
! [X0: $i,X1: $i] :
( ordered_by(X1,sK17(X1),X0)
| ( sK17(X1) = X0 )
| ~ incident_o(X0,X1) ),
inference(unflattening,[status(thm)],[c_1412]) ).
tcf(c_7316,plain,
! [X0: $i] : ~ ordered_by(sK22,X0,sK23),
inference(demodulation,[status(thm)],[c_527]) ).
tcf(c_7317,plain,
incident_o(sK23,sK22),
inference(demodulation,[status(thm)],[c_523]) ).
tcf(c_9008,plain,
! [X0: $i] : incident_c(sK7(X0),X0),
inference(superposition,[status(thm)],[c_81,c_67]) ).
tcf(c_9013,plain,
! [X0: $i] :
( incident_c(sK6(X0),X0)
| ~ open(X0) ),
inference(superposition,[status(thm)],[c_78,c_64]) ).
tcf(c_9039,plain,
! [X0: $i] :
( ~ open(X0)
| ~ inner_point(sK6(X0),X0) ),
inference(superposition,[status(thm)],[c_78,c_68]) ).
tcf(c_9071,plain,
! [X0: $i] : incident_o(sK7(sK14(X0)),X0),
inference(superposition,[status(thm)],[c_9008,c_108]) ).
tcf(c_9073,plain,
! [X0: $i] :
( incident_o(sK6(sK14(X0)),X0)
| ~ open(sK14(X0)) ),
inference(superposition,[status(thm)],[c_9013,c_108]) ).
tcf(c_9076,plain,
! [X0: $i] : incident_o(sK6(sK14(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_9073,c_107]) ).
tcf(c_9191,plain,
! [X0: $i,X1: $i] :
( inner_point(X0,sK14(X1))
| end_point(X0,sK14(X1))
| ~ incident_o(X0,X1) ),
inference(superposition,[status(thm)],[c_109,c_66]) ).
tcf(c_9609,plain,
! [X0: $i] :
( end_point(sK6(sK14(X0)),sK14(X0))
| ~ open(sK14(X0))
| ~ incident_o(sK6(sK14(X0)),X0) ),
inference(superposition,[status(thm)],[c_9191,c_9039]) ).
tcf(c_9614,plain,
! [X0: $i] : end_point(sK6(sK14(X0)),sK14(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9609,c_107,c_9076]) ).
tcf(c_11874,plain,
( ~ inner_point(sK23,sK14(sK22))
| ~ end_point(sK23,sK14(sK22)) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_17560,plain,
( ( sK17(sK22) = sK23 )
| ~ incident_o(sK23,sK22) ),
inference(superposition,[status(thm)],[c_1413,c_7316]) ).
tcf(c_17561,plain,
sK17(sK22) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_17560,c_7317]) ).
tcf(c_17648,plain,
! [X0: $i] :
( ordered_by(sK22,sK23,X0)
| ( sK17(sK22) = X0 )
| ~ incident_o(X0,sK22) ),
inference(superposition,[status(thm)],[c_17561,c_1413]) ).
tcf(c_17650,plain,
! [X0: $i] :
( ordered_by(sK22,sK23,X0)
| ( X0 = sK23 )
| ~ incident_o(X0,sK22) ),
inference(light_normalisation,[status(thm)],[c_17648,c_17561]) ).
tcf(c_17651,plain,
! [X0: $i] :
( ( X0 = sK23 )
| ~ incident_o(X0,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17650,c_517]) ).
tcf(c_17663,plain,
sK7(sK14(sK22)) = sK23,
inference(superposition,[status(thm)],[c_9071,c_17651]) ).
tcf(c_17665,plain,
sK6(sK14(sK22)) = sK23,
inference(superposition,[status(thm)],[c_9076,c_17651]) ).
tcf(c_17896,plain,
inner_point(sK23,sK14(sK22)),
inference(superposition,[status(thm)],[c_17663,c_81]) ).
tcf(c_18445,plain,
end_point(sK23,sK14(sK22)),
inference(superposition,[status(thm)],[c_17665,c_9614]) ).
tcf(c_18448,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18445,c_17896,c_11874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 11:04:35 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 3.30/1.26 % SZS status Started for theBenchmark.p
% 3.30/1.26 % SZS status Theorem for theBenchmark.p
% 3.30/1.26
% 3.30/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.30/1.26
% 3.30/1.26 % ------ iProver source info
% 3.30/1.26
% 3.30/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 3.30/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.30/1.26 % git: non_committed_changes: false
% 3.30/1.26
% 3.30/1.26 % ------ Parsing...
% 3.30/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.30/1.26
% 3.30/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 3.30/1.26
% 3.30/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.30/1.26
% 3.30/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.30/1.26 % ------ Proving...
% 3.30/1.26 % ------ Problem Properties
% 3.30/1.26
% 3.30/1.26 %
% 3.30/1.26 % clauses 78
% 3.30/1.26 % conjectures 0
% 3.30/1.26 % EPR 27
% 3.30/1.26 % Horn 50
% 3.30/1.26 % unary 7
% 3.30/1.26 % binary 28
% 3.30/1.26 % lits 229
% 3.30/1.26 % lits eq 21
% 3.30/1.26 % fd_pure 0
% 3.30/1.26 % fd_pseudo 0
% 3.30/1.26 % fd_cond 0
% 3.30/1.26 % fd_pseudo_cond 16
% 3.30/1.26 % AC symbols 0
% 3.30/1.26
% 3.30/1.26 % ------ Schedule dynamic 5 is on
% 3.30/1.26
% 3.30/1.26 % ------ no conjectures: strip conj schedule
% 3.30/1.26
% 3.30/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 3.30/1.26
% 3.30/1.26
% 3.30/1.26 % ------
% 3.30/1.26 % Current options:
% 3.30/1.26 % ------
% 3.30/1.26
% 3.30/1.26
% 3.30/1.26 %
% 3.30/1.26
% 3.30/1.26 % ------ Proving...
% 3.30/1.26 %
% 3.30/1.26
% 3.30/1.26 % SZS status Theorem for theBenchmark.p
% 3.30/1.26
% 3.30/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.30/1.26
% 3.30/1.26
%------------------------------------------------------------------------------