TSTP Solution File: GEO127+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO127+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:09:33 EDT 2023
% Result : Theorem 4.13s 1.13s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 113 ( 25 unt; 0 def)
% Number of atoms : 385 ( 18 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 424 ( 152 ~; 153 |; 88 &)
% ( 15 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% 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 : 230 ( 13 sgn; 132 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0] :
( end_point(X2,X0)
<=> ( ! [X1,X3] :
( ( incident_c(X2,X3)
& incident_c(X2,X1)
& part_of(X3,X0)
& part_of(X1,X0) )
=> ( part_of(X3,X1)
| part_of(X1,X3) ) )
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn) ).
fof(f4,axiom,
! [X2,X0] :
( inner_point(X2,X0)
<=> ( ~ end_point(X2,X0)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X2] : end_point(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
fof(f19,axiom,
! [X2,X8] :
( start_point(X2,X8)
<=> ( ! [X4] :
( ( incident_o(X4,X8)
& X2 != X4 )
=> ordered_by(X8,X2,X4) )
& incident_o(X2,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_point_defn) ).
fof(f21,axiom,
! [X8,X2,X4] :
( ordered_by(X8,X2,X4)
=> ( incident_o(X4,X8)
& incident_o(X2,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1) ).
fof(f22,axiom,
! [X8] :
? [X0] :
( ! [X2] :
( incident_o(X2,X8)
<=> incident_c(X2,X0) )
& open(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o2) ).
fof(f24,axiom,
! [X8] :
? [X2] : start_point(X2,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o4) ).
fof(f28,conjecture,
! [X8,X2] :
( incident_o(X2,X8)
<=> ? [X4] :
( ordered_by(X8,X4,X2)
| ordered_by(X8,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_12) ).
fof(f29,negated_conjecture,
~ ! [X8,X2] :
( incident_o(X2,X8)
<=> ? [X4] :
( ordered_by(X8,X4,X2)
| ordered_by(X8,X2,X4) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f31,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(rectify,[],[f3]) ).
fof(f32,plain,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f35,plain,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f37,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f45,plain,
! [X0,X1] :
( start_point(X0,X1)
<=> ( ! [X2] :
( ( incident_o(X2,X1)
& X0 != X2 )
=> ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ordered_by(X0,X1,X2)
=> ( incident_o(X2,X0)
& incident_o(X1,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f48,plain,
! [X0] :
? [X1] :
( ! [X2] :
( incident_o(X2,X0)
<=> incident_c(X2,X1) )
& open(X1) ),
inference(rectify,[],[f22]) ).
fof(f50,plain,
! [X0] :
? [X1] : start_point(X1,X0),
inference(rectify,[],[f24]) ).
fof(f54,plain,
~ ! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
inference(rectify,[],[f29]) ).
fof(f55,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,[],[f45]) ).
fof(f58,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f59,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(flattening,[],[f58]) ).
fof(f75,plain,
! [X0,X1] :
( ( ! [X2] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2 )
& incident_o(X0,X1) )
| ~ start_point(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f76,plain,
! [X0,X1] :
( ( ! [X2] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2 )
& incident_o(X0,X1) )
| ~ start_point(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( incident_o(X2,X0)
& incident_o(X1,X0) )
| ~ ordered_by(X0,X1,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f81,plain,
? [X0,X1] :
( incident_o(X1,X0)
<~> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f91,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f92,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X4,X5] :
( part_of(X5,X4)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
& ~ part_of(sK2(X0,X1),sK3(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) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
& ~ part_of(sK2(X0,X1),sK3(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) )
| ~ incident_c(X0,X1) )
& ( ( ! [X4,X5] :
( part_of(X5,X4)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f93,f94]) ).
fof(f96,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,[],[f32]) ).
fof(f97,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,[],[f96]) ).
fof(f105,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X1] : end_point(X1,X0)
| ~ open(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f106,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X2] : end_point(X2,X0)
| ~ open(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ? [X2] : end_point(X2,X0)
=> end_point(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( end_point(sK6(X0),X0)
| ~ open(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f106,f107]) ).
fof(f109,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f109]) ).
fof(f128,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,[],[f48]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X1)
| ~ incident_o(X2,X0) ) )
& open(X1) )
=> ( ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) )
& ( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ) )
& open(sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f130,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(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f128,f129]) ).
fof(f136,plain,
! [X0] :
( ? [X1] : start_point(X1,X0)
=> start_point(sK17(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0] : start_point(sK17(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f50,f136]) ).
fof(f148,plain,
? [X0,X1] :
( ( ! [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) )
| incident_o(X1,X0) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f149,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) )
| ~ incident_o(X1,X0) )
& ( ? [X3] :
( ordered_by(X0,X3,X1)
| ordered_by(X0,X1,X3) )
| incident_o(X1,X0) ) ),
inference(rectify,[],[f148]) ).
fof(f150,plain,
( ? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) )
| ~ incident_o(X1,X0) )
& ( ? [X3] :
( ordered_by(X0,X3,X1)
| ordered_by(X0,X1,X3) )
| incident_o(X1,X0) ) )
=> ( ( ! [X2] :
( ~ ordered_by(sK22,X2,sK23)
& ~ ordered_by(sK22,sK23,X2) )
| ~ incident_o(sK23,sK22) )
& ( ? [X3] :
( ordered_by(sK22,X3,sK23)
| ordered_by(sK22,sK23,X3) )
| incident_o(sK23,sK22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X3] :
( ordered_by(sK22,X3,sK23)
| ordered_by(sK22,sK23,X3) )
=> ( ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ( ! [X2] :
( ~ ordered_by(sK22,X2,sK23)
& ~ ordered_by(sK22,sK23,X2) )
| ~ incident_o(sK23,sK22) )
& ( ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24)
| incident_o(sK23,sK22) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f149,f151,f150]) ).
fof(f162,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f170,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f171,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f172,plain,
! [X0,X1] :
( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f181,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f185,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f110]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2
| ~ start_point(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f209,plain,
! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f210,plain,
! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f211,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f130]) ).
fof(f212,plain,
! [X2,X0] :
( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f213,plain,
! [X2,X0] :
( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f219,plain,
! [X0] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f137]) ).
fof(f229,plain,
( ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24)
| incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f152]) ).
fof(f230,plain,
! [X2] :
( ~ ordered_by(sK22,sK23,X2)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f152]) ).
fof(f231,plain,
! [X2] :
( ~ ordered_by(sK22,X2,sK23)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_65,plain,
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_66,plain,
( ~ incident_c(X0,X1)
| end_point(X0,X1)
| inner_point(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_67,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_68,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_78,plain,
( ~ open(X0)
| end_point(sK6(X0),X0) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_81,plain,
inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f185]) ).
cnf(c_103,plain,
( ~ incident_o(X0,X1)
| ~ start_point(X2,X1)
| X0 = X2
| ordered_by(X1,X2,X0) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_105,plain,
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_106,plain,
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_107,plain,
( ~ incident_c(X0,sK14(X1))
| incident_o(X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_108,plain,
( ~ incident_o(X0,X1)
| incident_c(X0,sK14(X1)) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_109,plain,
open(sK14(X0)),
inference(cnf_transformation,[],[f211]) ).
cnf(c_115,plain,
start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f219]) ).
cnf(c_125,negated_conjecture,
( ~ ordered_by(sK22,X0,sK23)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_126,negated_conjecture,
( ~ ordered_by(sK22,sK23,X0)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_127,negated_conjecture,
( ordered_by(sK22,sK23,sK24)
| ordered_by(sK22,sK24,sK23)
| incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f229]) ).
cnf(c_246,plain,
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_106]) ).
cnf(c_248,plain,
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(prop_impl_just,[status(thm)],[c_105]) ).
cnf(c_258,plain,
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,X0,sK23) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
cnf(c_259,plain,
( ~ ordered_by(sK22,X0,sK23)
| ~ incident_o(sK23,sK22) ),
inference(renaming,[status(thm)],[c_258]) ).
cnf(c_260,plain,
( ~ incident_o(sK23,sK22)
| ~ ordered_by(sK22,sK23,X0) ),
inference(prop_impl_just,[status(thm)],[c_126]) ).
cnf(c_261,plain,
( ~ ordered_by(sK22,sK23,X0)
| ~ incident_o(sK23,sK22) ),
inference(renaming,[status(thm)],[c_260]) ).
cnf(c_515,plain,
( ordered_by(sK22,sK24,sK23)
| incident_o(sK23,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_127,c_246]) ).
cnf(c_517,plain,
~ ordered_by(sK22,sK23,X0),
inference(backward_subsumption_resolution,[status(thm)],[c_261,c_246]) ).
cnf(c_523,plain,
incident_o(sK23,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_515,c_248]) ).
cnf(c_527,plain,
~ ordered_by(sK22,X0,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_259,c_523]) ).
cnf(c_1406,plain,
( sK17(X1) != X2
| X0 != X1
| ~ incident_o(X3,X0)
| X2 = X3
| ordered_by(X0,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_103,c_115]) ).
cnf(c_1407,plain,
( ~ incident_o(X0,X1)
| sK17(X1) = X0
| ordered_by(X1,sK17(X1),X0) ),
inference(unflattening,[status(thm)],[c_1406]) ).
cnf(c_9009,plain,
incident_c(sK7(X0),X0),
inference(superposition,[status(thm)],[c_81,c_68]) ).
cnf(c_9014,plain,
( ~ open(X0)
| incident_c(sK6(X0),X0) ),
inference(superposition,[status(thm)],[c_78,c_65]) ).
cnf(c_9040,plain,
( ~ inner_point(sK6(X0),X0)
| ~ open(X0) ),
inference(superposition,[status(thm)],[c_78,c_67]) ).
cnf(c_9072,plain,
incident_o(sK7(sK14(X0)),X0),
inference(superposition,[status(thm)],[c_9009,c_107]) ).
cnf(c_9074,plain,
( ~ open(sK14(X0))
| incident_o(sK6(sK14(X0)),X0) ),
inference(superposition,[status(thm)],[c_9014,c_107]) ).
cnf(c_9077,plain,
incident_o(sK6(sK14(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_9074,c_109]) ).
cnf(c_9192,plain,
( ~ incident_o(X0,X1)
| end_point(X0,sK14(X1))
| inner_point(X0,sK14(X1)) ),
inference(superposition,[status(thm)],[c_108,c_66]) ).
cnf(c_9610,plain,
( ~ incident_o(sK6(sK14(X0)),X0)
| ~ open(sK14(X0))
| end_point(sK6(sK14(X0)),sK14(X0)) ),
inference(superposition,[status(thm)],[c_9192,c_9040]) ).
cnf(c_9615,plain,
end_point(sK6(sK14(X0)),sK14(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_9610,c_109,c_9077]) ).
cnf(c_11877,plain,
( ~ end_point(sK23,sK14(sK22))
| ~ inner_point(sK23,sK14(sK22)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_17552,plain,
( ~ incident_o(sK23,sK22)
| sK17(sK22) = sK23 ),
inference(superposition,[status(thm)],[c_1407,c_527]) ).
cnf(c_17553,plain,
sK17(sK22) = sK23,
inference(forward_subsumption_resolution,[status(thm)],[c_17552,c_523]) ).
cnf(c_17640,plain,
( ~ incident_o(X0,sK22)
| sK17(sK22) = X0
| ordered_by(sK22,sK23,X0) ),
inference(superposition,[status(thm)],[c_17553,c_1407]) ).
cnf(c_17642,plain,
( ~ incident_o(X0,sK22)
| X0 = sK23
| ordered_by(sK22,sK23,X0) ),
inference(light_normalisation,[status(thm)],[c_17640,c_17553]) ).
cnf(c_17643,plain,
( ~ incident_o(X0,sK22)
| X0 = sK23 ),
inference(forward_subsumption_resolution,[status(thm)],[c_17642,c_517]) ).
cnf(c_17655,plain,
sK7(sK14(sK22)) = sK23,
inference(superposition,[status(thm)],[c_9072,c_17643]) ).
cnf(c_17657,plain,
sK6(sK14(sK22)) = sK23,
inference(superposition,[status(thm)],[c_9077,c_17643]) ).
cnf(c_17856,plain,
inner_point(sK23,sK14(sK22)),
inference(superposition,[status(thm)],[c_17655,c_81]) ).
cnf(c_18437,plain,
end_point(sK23,sK14(sK22)),
inference(superposition,[status(thm)],[c_17657,c_9615]) ).
cnf(c_18440,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18437,c_17856,c_11877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO127+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 23:43:21 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.13/1.13 % SZS status Started for theBenchmark.p
% 4.13/1.13 % SZS status Theorem for theBenchmark.p
% 4.13/1.13
% 4.13/1.13 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.13/1.13
% 4.13/1.13 ------ iProver source info
% 4.13/1.13
% 4.13/1.13 git: date: 2023-05-31 18:12:56 +0000
% 4.13/1.13 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.13/1.13 git: non_committed_changes: false
% 4.13/1.13 git: last_make_outside_of_git: false
% 4.13/1.13
% 4.13/1.13 ------ Parsing...
% 4.13/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.13
% 4.13/1.13 ------ 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
% 4.13/1.13
% 4.13/1.13 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.13/1.13
% 4.13/1.13 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.13/1.13 ------ Proving...
% 4.13/1.13 ------ Problem Properties
% 4.13/1.13
% 4.13/1.13
% 4.13/1.13 clauses 78
% 4.13/1.13 conjectures 0
% 4.13/1.13 EPR 27
% 4.13/1.13 Horn 50
% 4.13/1.13 unary 7
% 4.13/1.13 binary 28
% 4.13/1.13 lits 229
% 4.13/1.13 lits eq 21
% 4.13/1.13 fd_pure 0
% 4.13/1.13 fd_pseudo 0
% 4.13/1.13 fd_cond 0
% 4.13/1.13 fd_pseudo_cond 16
% 4.13/1.13 AC symbols 0
% 4.13/1.13
% 4.13/1.13 ------ Schedule dynamic 5 is on
% 4.13/1.13
% 4.13/1.13 ------ no conjectures: strip conj schedule
% 4.13/1.13
% 4.13/1.13 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.13/1.13
% 4.13/1.13
% 4.13/1.13 ------
% 4.13/1.13 Current options:
% 4.13/1.13 ------
% 4.13/1.13
% 4.13/1.13
% 4.13/1.13
% 4.13/1.13
% 4.13/1.13 ------ Proving...
% 4.13/1.13
% 4.13/1.13
% 4.13/1.13 % SZS status Theorem for theBenchmark.p
% 4.13/1.13
% 4.13/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.13
% 4.13/1.14
%------------------------------------------------------------------------------