TSTP Solution File: GEO196+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 23:10:09 EDT 2023
% Result : Theorem 3.60s 1.19s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 110 ( 19 unt; 0 def)
% Number of atoms : 329 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 341 ( 122 ~; 162 |; 41 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 209 ( 4 sgn; 127 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f25,axiom,
! [X5,X6,X7] :
( ( ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) )
& ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( incident_point_and_line(intersection_point(X0,X1),X4)
& incident_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( incident_point_and_line(intersection_point(X0,X1),X4)
& incident_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) )
=> ( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f51,plain,
~ ! [X0,X1,X2,X3] :
( ( incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( incident_point_and_line(intersection_point(X2,X3),X1)
& incident_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f56,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f57,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f67,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f69,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(flattening,[],[f78]) ).
fof(f90,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X1)
| ~ incident_point_and_line(intersection_point(X2,X3),X0) )
& incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X1)
| ~ incident_point_and_line(intersection_point(X2,X3),X0) )
& incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f93,plain,
( ? [X0,X1,X2,X3] :
( ( ~ incident_point_and_line(intersection_point(X2,X3),X1)
| ~ incident_point_and_line(intersection_point(X2,X3),X0) )
& incident_point_and_line(intersection_point(X0,X1),X3)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) )
& incident_point_and_line(intersection_point(sK0,sK1),sK3)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) )
& incident_point_and_line(intersection_point(sK0,sK1),sK3)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f91,f93]) ).
fof(f97,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f103,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f104,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f106,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f107,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f108,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f109,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f110,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f131,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f133,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f134,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f94]) ).
fof(f135,plain,
incident_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f94]) ).
fof(f136,plain,
incident_point_and_line(intersection_point(sK0,sK1),sK3),
inference(cnf_transformation,[],[f94]) ).
fof(f137,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f97]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_57,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_58,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_59,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_63,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
cnf(c_64,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f110]) ).
cnf(c_78,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_85,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_86,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_87,negated_conjecture,
( ~ incident_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_88,negated_conjecture,
incident_point_and_line(intersection_point(sK0,sK1),sK3),
inference(cnf_transformation,[],[f136]) ).
cnf(c_89,negated_conjecture,
incident_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f135]) ).
cnf(c_90,negated_conjecture,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f134]) ).
cnf(c_91,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f133]) ).
cnf(c_112,plain,
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_113,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(renaming,[status(thm)],[c_112]) ).
cnf(c_201,plain,
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| incident_point_and_line(X0,X2) ),
inference(bin_hyper_res,[status(thm)],[c_60,c_113]) ).
cnf(c_202,plain,
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| incident_point_and_line(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_61,c_113]) ).
cnf(c_658,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ incident_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_659,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ incident_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_660,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_661,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_662,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_663,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_664,plain,
( ~ convergent_lines(sK2,sK3)
| convergent_lines(sK2,X0)
| convergent_lines(sK3,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_702,plain,
( ~ convergent_lines(sK2,sK3)
| convergent_lines(sK2,sK2)
| convergent_lines(sK3,sK2) ),
inference(instantiation,[status(thm)],[c_664]) ).
cnf(c_703,plain,
~ convergent_lines(sK2,sK2),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_756,plain,
( distinct_points(intersection_point(sK2,sK3),X0)
| incident_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(X0,sK1) ),
inference(instantiation,[status(thm)],[c_201]) ).
cnf(c_844,plain,
( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| incident_point_and_line(intersection_point(sK2,sK3),sK1) ),
inference(instantiation,[status(thm)],[c_756]) ).
cnf(c_859,plain,
( ~ convergent_lines(sK3,sK2)
| distinct_lines(sK2,X0)
| convergent_lines(sK3,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_871,plain,
( ~ convergent_lines(sK3,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK3,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1778,plain,
( ~ distinct_points(intersection_point(sK2,sK3),X0)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(intersection_point(sK2,sK3),X1)
| apart_point_and_line(intersection_point(sK2,sK3),X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_2245,plain,
( distinct_points(X0,intersection_point(sK0,sK1))
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| incident_point_and_line(X0,sK0) ),
inference(instantiation,[status(thm)],[c_201]) ).
cnf(c_2325,plain,
( incident_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK1),sK3)
| distinct_lines(X0,sK3) ),
inference(instantiation,[status(thm)],[c_202]) ).
cnf(c_2332,plain,
( incident_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(intersection_point(sK2,sK3),sK3)
| distinct_lines(X0,sK3) ),
inference(instantiation,[status(thm)],[c_202]) ).
cnf(c_3853,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),X0)
| ~ incident_point_and_line(intersection_point(sK2,sK3),X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_3937,plain,
~ convergent_lines(sK3,sK3),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6401,plain,
( ~ convergent_lines(X0,sK3)
| convergent_lines(X0,X1)
| convergent_lines(sK3,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_6506,plain,
( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| incident_point_and_line(intersection_point(sK2,sK3),sK0) ),
inference(instantiation,[status(thm)],[c_2245]) ).
cnf(c_6510,plain,
( ~ distinct_lines(X0,sK3)
| convergent_lines(X0,sK3) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_7374,plain,
( ~ convergent_lines(sK3,X0)
| convergent_lines(X0,sK3)
| convergent_lines(sK3,sK3) ),
inference(instantiation,[status(thm)],[c_871]) ).
cnf(c_7865,plain,
( ~ distinct_points(intersection_point(sK2,sK3),X0)
| ~ distinct_lines(sK2,X1)
| apart_point_and_line(intersection_point(sK2,sK3),X1)
| apart_point_and_line(intersection_point(sK2,sK3),sK2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,sK2) ),
inference(instantiation,[status(thm)],[c_1778]) ).
cnf(c_9710,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ incident_point_and_line(intersection_point(sK0,sK1),X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_17529,plain,
( ~ distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
| ~ distinct_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK2,sK3),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(instantiation,[status(thm)],[c_7865]) ).
cnf(c_18767,plain,
( convergent_lines(sK2,X0)
| convergent_lines(sK3,X0) ),
inference(superposition,[status(thm)],[c_90,c_54]) ).
cnf(c_18835,plain,
( convergent_lines(X0,X1)
| convergent_lines(sK2,X0)
| convergent_lines(sK3,X1) ),
inference(superposition,[status(thm)],[c_18767,c_54]) ).
cnf(c_18892,plain,
( convergent_lines(X0,X1)
| convergent_lines(sK3,X1) ),
inference(global_subsumption_just,[status(thm)],[c_18835,c_91,c_90,c_89,c_88,c_87,c_658,c_659,c_660,c_661,c_662,c_663,c_702,c_703,c_844,c_859,c_871,c_2325,c_2332,c_3853,c_6401,c_6506,c_6510,c_9710,c_17529]) ).
cnf(c_18905,plain,
convergent_lines(sK3,X0),
inference(superposition,[status(thm)],[c_18892,c_64]) ).
cnf(c_19592,plain,
( ~ unorthogonal_lines(sK2,sK3)
| convergent_lines(X0,sK3)
| unorthogonal_lines(X0,sK2) ),
inference(superposition,[status(thm)],[c_90,c_78]) ).
cnf(c_19858,plain,
convergent_lines(X0,sK3),
inference(global_subsumption_just,[status(thm)],[c_19592,c_3937,c_7374,c_18905]) ).
cnf(c_19861,plain,
$false,
inference(superposition,[status(thm)],[c_19858,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO196+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:44:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.60/1.19 % SZS status Started for theBenchmark.p
% 3.60/1.19 % SZS status Theorem for theBenchmark.p
% 3.60/1.19
% 3.60/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.60/1.19
% 3.60/1.19 ------ iProver source info
% 3.60/1.19
% 3.60/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.60/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.60/1.19 git: non_committed_changes: false
% 3.60/1.19 git: last_make_outside_of_git: false
% 3.60/1.19
% 3.60/1.19 ------ Parsing...
% 3.60/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.60/1.19
% 3.60/1.19 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.60/1.19
% 3.60/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.60/1.19 ------ Proving...
% 3.60/1.19 ------ Problem Properties
% 3.60/1.19
% 3.60/1.19
% 3.60/1.19 clauses 35
% 3.60/1.19 conjectures 5
% 3.60/1.19 EPR 24
% 3.60/1.19 Horn 18
% 3.60/1.19 unary 11
% 3.60/1.19 binary 9
% 3.60/1.19 lits 85
% 3.60/1.19 lits eq 0
% 3.60/1.19 fd_pure 0
% 3.60/1.19 fd_pseudo 0
% 3.60/1.19 fd_cond 0
% 3.60/1.19 fd_pseudo_cond 0
% 3.60/1.19 AC symbols 0
% 3.60/1.19
% 3.60/1.19 ------ Schedule dynamic 5 is on
% 3.60/1.19
% 3.60/1.19 ------ no equalities: superposition off
% 3.60/1.19
% 3.60/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.60/1.19
% 3.60/1.19
% 3.60/1.19 ------
% 3.60/1.19 Current options:
% 3.60/1.19 ------
% 3.60/1.19
% 3.60/1.19
% 3.60/1.19
% 3.60/1.19
% 3.60/1.19 ------ Proving...
% 3.60/1.19
% 3.60/1.19
% 3.60/1.19 % SZS status Theorem for theBenchmark.p
% 3.60/1.19
% 3.60/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.19
% 3.60/1.19
%------------------------------------------------------------------------------