TSTP Solution File: GEO094+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 23:09:21 EDT 2023
% Result : Theorem 3.38s 1.05s
% Output : CNFRefutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 82 ( 19 unt; 0 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 465 ( 164 ~; 151 |; 125 &)
% ( 12 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 199 ( 4 sgn; 135 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f5,axiom,
! [X2,X0,X1] :
( meet(X2,X0,X1)
<=> ( ! [X4] :
( ( incident_c(X4,X1)
& incident_c(X4,X0) )
=> ( end_point(X4,X1)
& end_point(X4,X0) ) )
& incident_c(X2,X1)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f17,conjecture,
! [X0,X1,X3,X2] :
( ( part_of(X3,X0)
& part_of(X1,X0)
& meet(X2,X1,X3) )
=> ~ end_point(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X3,X2] :
( ( part_of(X3,X0)
& part_of(X1,X0)
& meet(X2,X1,X3) )
=> ~ end_point(X2,X0) ),
inference(negated_conjecture,[],[f17]) ).
fof(f20,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(f21,plain,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( end_point(X3,X2)
& end_point(X3,X1) ) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f26,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f32,plain,
~ ! [X0,X1,X2,X3] :
( ( part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) )
=> ~ end_point(X3,X0) ),
inference(rectify,[],[f18]) ).
fof(f35,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f36,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,[],[f20]) ).
fof(f37,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,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f39,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(flattening,[],[f38]) ).
fof(f54,plain,
? [X0,X1,X2,X3] :
( end_point(X3,X0)
& part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f55,plain,
? [X0,X1,X2,X3] :
( end_point(X3,X0)
& part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f57,f58]) ).
fof(f65,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,[],[f37]) ).
fof(f66,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,[],[f65]) ).
fof(f67,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,[],[f66]) ).
fof(f68,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(f69,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])],[f67,f68]) ).
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(nnf_transformation,[],[f21]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X2)
& end_point(X4,X1) )
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X1,X2] :
( ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( ( ~ end_point(sK4(X1,X2),X2)
| ~ end_point(sK4(X1,X2),X1) )
& incident_c(sK4(X1,X2),X2)
& incident_c(sK4(X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ( ( ~ end_point(sK4(X1,X2),X2)
| ~ end_point(sK4(X1,X2),X1) )
& incident_c(sK4(X1,X2),X2)
& incident_c(sK4(X1,X2),X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X2)
& end_point(X4,X1) )
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f74,f75]) ).
fof(f81,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f26,f81]) ).
fof(f93,plain,
( ? [X0,X1,X2,X3] :
( end_point(X3,X0)
& part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) )
=> ( end_point(sK16,sK13)
& part_of(sK15,sK13)
& part_of(sK14,sK13)
& meet(sK16,sK14,sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( end_point(sK16,sK13)
& part_of(sK15,sK13)
& part_of(sK14,sK13)
& meet(sK16,sK14,sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f55,f93]) ).
fof(f95,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
! [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)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f112,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f113,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f115,plain,
! [X2,X0,X1] :
( incident_c(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f116,plain,
! [X2,X0,X1] :
( incident_c(X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f117,plain,
! [X2,X0,X1,X4] :
( end_point(X4,X1)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f118,plain,
! [X2,X0,X1,X4] :
( end_point(X4,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f82]) ).
fof(f136,plain,
meet(sK16,sK14,sK15),
inference(cnf_transformation,[],[f94]) ).
fof(f137,plain,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f94]) ).
fof(f138,plain,
part_of(sK15,sK13),
inference(cnf_transformation,[],[f94]) ).
fof(f139,plain,
end_point(sK16,sK13),
inference(cnf_transformation,[],[f94]) ).
cnf(c_51,plain,
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_64,plain,
( ~ part_of(X0,X1)
| ~ part_of(X2,X1)
| ~ incident_c(X3,X0)
| ~ incident_c(X3,X2)
| ~ end_point(X3,X1)
| part_of(X0,X2)
| part_of(X2,X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_67,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_68,plain,
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_72,plain,
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X2) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_73,plain,
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_74,plain,
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_75,plain,
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_80,plain,
inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f126]) ).
cnf(c_90,negated_conjecture,
end_point(sK16,sK13),
inference(cnf_transformation,[],[f139]) ).
cnf(c_91,negated_conjecture,
part_of(sK15,sK13),
inference(cnf_transformation,[],[f138]) ).
cnf(c_92,negated_conjecture,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f137]) ).
cnf(c_93,negated_conjecture,
meet(sK16,sK14,sK15),
inference(cnf_transformation,[],[f136]) ).
cnf(c_1445,plain,
incident_c(sK7(X0),X0),
inference(superposition,[status(thm)],[c_80,c_68]) ).
cnf(c_1495,plain,
incident_c(sK16,sK15),
inference(superposition,[status(thm)],[c_93,c_74]) ).
cnf(c_1500,plain,
incident_c(sK16,sK14),
inference(superposition,[status(thm)],[c_93,c_75]) ).
cnf(c_1900,plain,
( ~ part_of(X0,X1)
| incident_c(sK7(X0),X1) ),
inference(superposition,[status(thm)],[c_1445,c_51]) ).
cnf(c_2582,plain,
( ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14)
| end_point(X0,sK15) ),
inference(superposition,[status(thm)],[c_93,c_72]) ).
cnf(c_2601,plain,
( ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14)
| end_point(X0,sK14) ),
inference(superposition,[status(thm)],[c_93,c_73]) ).
cnf(c_2872,plain,
( ~ incident_c(sK7(X0),sK15)
| ~ part_of(X0,sK14)
| end_point(sK7(X0),sK15) ),
inference(superposition,[status(thm)],[c_1900,c_2582]) ).
cnf(c_3014,plain,
( ~ incident_c(sK7(sK14),sK15)
| end_point(sK7(sK14),sK14) ),
inference(superposition,[status(thm)],[c_1445,c_2601]) ).
cnf(c_3237,plain,
( ~ part_of(sK14,sK15)
| end_point(sK7(sK14),sK14) ),
inference(superposition,[status(thm)],[c_1900,c_3014]) ).
cnf(c_3521,plain,
( ~ inner_point(sK7(sK14),sK14)
| ~ part_of(sK14,sK15) ),
inference(superposition,[status(thm)],[c_3237,c_67]) ).
cnf(c_3523,plain,
~ part_of(sK14,sK15),
inference(forward_subsumption_resolution,[status(thm)],[c_3521,c_80]) ).
cnf(c_3551,plain,
( ~ part_of(sK15,sK14)
| end_point(sK7(sK15),sK15) ),
inference(superposition,[status(thm)],[c_1445,c_2872]) ).
cnf(c_4012,plain,
( ~ incident_c(X0,X1)
| ~ part_of(X1,sK13)
| ~ incident_c(X0,sK15)
| ~ end_point(X0,sK13)
| part_of(X1,sK15)
| part_of(sK15,X1) ),
inference(superposition,[status(thm)],[c_91,c_64]) ).
cnf(c_4049,plain,
( ~ inner_point(sK7(sK15),sK15)
| ~ part_of(sK15,sK14) ),
inference(superposition,[status(thm)],[c_3551,c_67]) ).
cnf(c_4052,plain,
~ part_of(sK15,sK14),
inference(forward_subsumption_resolution,[status(thm)],[c_4049,c_80]) ).
cnf(c_4146,plain,
( ~ part_of(sK14,sK13)
| ~ incident_c(sK16,sK15)
| ~ end_point(sK16,sK13)
| part_of(sK15,sK14)
| part_of(sK14,sK15) ),
inference(superposition,[status(thm)],[c_1500,c_4012]) ).
cnf(c_4156,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4146,c_3523,c_4052,c_90,c_1495,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO094+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 29 19:05:32 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.38/1.05 % SZS status Started for theBenchmark.p
% 3.38/1.05 % SZS status Theorem for theBenchmark.p
% 3.38/1.05
% 3.38/1.05 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.38/1.05
% 3.38/1.05 ------ iProver source info
% 3.38/1.05
% 3.38/1.05 git: date: 2023-05-31 18:12:56 +0000
% 3.38/1.05 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.38/1.05 git: non_committed_changes: false
% 3.38/1.05 git: last_make_outside_of_git: false
% 3.38/1.05
% 3.38/1.05 ------ Parsing...
% 3.38/1.05 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.38/1.05
% 3.38/1.05 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.38/1.05
% 3.38/1.05 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.38/1.05
% 3.38/1.05 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.38/1.05 ------ Proving...
% 3.38/1.05 ------ Problem Properties
% 3.38/1.05
% 3.38/1.05
% 3.38/1.05 clauses 45
% 3.38/1.05 conjectures 4
% 3.38/1.05 EPR 17
% 3.38/1.05 Horn 29
% 3.38/1.05 unary 5
% 3.38/1.05 binary 16
% 3.38/1.05 lits 133
% 3.38/1.05 lits eq 12
% 3.38/1.05 fd_pure 0
% 3.38/1.05 fd_pseudo 0
% 3.38/1.05 fd_cond 0
% 3.38/1.05 fd_pseudo_cond 7
% 3.38/1.05 AC symbols 0
% 3.38/1.05
% 3.38/1.05 ------ Schedule dynamic 5 is on
% 3.38/1.05
% 3.38/1.05 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.38/1.05
% 3.38/1.05
% 3.38/1.05 ------
% 3.38/1.05 Current options:
% 3.38/1.05 ------
% 3.38/1.05
% 3.38/1.05
% 3.38/1.05
% 3.38/1.05
% 3.38/1.05 ------ Proving...
% 3.38/1.05
% 3.38/1.05
% 3.38/1.05 % SZS status Theorem for theBenchmark.p
% 3.38/1.05
% 3.38/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.38/1.05
% 3.38/1.05
%------------------------------------------------------------------------------