TSTP Solution File: GEO355+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO355+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 23:11:07 EDT 2023
% Result : Satisfiable 203.87s 28.36s
% Output : Saturation 203.87s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f6,axiom,
! [X2,X3] :
( apart_point_and_line(X2,X3)
<=> ( right_apart_point(X2,X3)
| left_apart_point(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_defns) ).
fof(f11,axiom,
! [X2] : ~ distinct_points(X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_basics) ).
fof(f12,axiom,
! [X2,X5,X6] :
( distinct_points(X2,X5)
=> ( distinct_points(X5,X6)
| distinct_points(X2,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_basics) ).
fof(f13,axiom,
! [X3] : ~ distinct_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_basics) ).
fof(f14,axiom,
! [X3,X4,X7] :
( distinct_lines(X3,X4)
=> ( distinct_lines(X4,X7)
| distinct_lines(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_basics) ).
fof(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5_basics) ).
fof(f16,axiom,
! [X3,X4,X7] :
( unequally_directed_lines(X3,X4)
=> ( unequally_directed_lines(X4,X7)
| unequally_directed_lines(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_basics) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f19,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f22,axiom,
! [X2,X5] :
( ( distinct_points(X2,X5)
& point(X5)
& point(X2) )
=> line(line_connecting(X2,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_cons_objs) ).
fof(f24,axiom,
! [X3,X2] :
( ( line(X3)
& point(X2) )
=> line(parallel_through_point(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_cons_objs) ).
fof(f25,axiom,
! [X3] :
( line(X3)
=> line(reverse_line(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_cons_objs) ).
fof(f26,axiom,
! [X2,X5] :
( distinct_points(X2,X5)
=> ( ~ apart_point_and_line(X5,line_connecting(X2,X5))
& ~ apart_point_and_line(X2,line_connecting(X2,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5_cons_objs) ).
fof(f27,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X4)
& ~ apart_point_and_line(intersection_point(X3,X4),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_cons_objs) ).
fof(f28,axiom,
! [X2,X3] : ~ apart_point_and_line(X2,parallel_through_point(X3,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7_cons_objs) ).
fof(f29,axiom,
! [X3] : ~ distinct_lines(X3,reverse_line(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_cons_objs) ).
fof(f30,axiom,
! [X2,X5] :
( distinct_points(X2,X5)
=> equally_directed_lines(line_connecting(X2,X5),reverse_line(line_connecting(X5,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_cons_objs) ).
fof(f31,axiom,
! [X2,X3] : equally_directed_lines(parallel_through_point(X3,X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_cons_objs) ).
fof(f32,axiom,
! [X2,X5,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X2,X5) )
=> ( left_apart_point(X5,reverse_line(X4))
| left_apart_point(X2,reverse_line(X4))
| left_apart_point(X5,reverse_line(X3))
| left_apart_point(X2,reverse_line(X3))
| left_apart_point(X5,X4)
| left_apart_point(X2,X4)
| left_apart_point(X5,X3)
| left_apart_point(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_uniq_cons) ).
fof(f33,axiom,
! [X2,X5,X3] :
( ( left_apart_point(X2,X3)
& distinct_points(X2,X5) )
=> ( left_convergent_lines(line_connecting(X2,X5),X3)
| left_apart_point(X5,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_uniq_cons) ).
fof(f36,axiom,
! [X3,X4,X7] :
( left_convergent_lines(X3,X4)
=> ( left_convergent_lines(X3,X7)
| unequally_directed_lines(X4,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_subs) ).
fof(f37,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
<=> ( right_apart_point(X0,X1)
| left_apart_point(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f42,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(rectify,[],[f11]) ).
fof(f43,plain,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f44,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(rectify,[],[f13]) ).
fof(f45,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f46,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(rectify,[],[f15]) ).
fof(f47,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f49,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f50,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f51,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f52,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f53,plain,
! [X0,X1] :
( ( distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> line(line_connecting(X0,X1)) ),
inference(rectify,[],[f22]) ).
fof(f55,plain,
! [X0,X1] :
( ( line(X0)
& point(X1) )
=> line(parallel_through_point(X0,X1)) ),
inference(rectify,[],[f24]) ).
fof(f56,plain,
! [X0] :
( line(X0)
=> line(reverse_line(X0)) ),
inference(rectify,[],[f25]) ).
fof(f57,plain,
! [X0,X1] :
( distinct_points(X0,X1)
=> ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
& ~ apart_point_and_line(X0,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f26]) ).
fof(f58,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
inference(rectify,[],[f27]) ).
fof(f59,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f28]) ).
fof(f60,plain,
! [X0] : ~ distinct_lines(X0,reverse_line(X0)),
inference(rectify,[],[f29]) ).
fof(f61,plain,
! [X0,X1] :
( distinct_points(X0,X1)
=> equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(rectify,[],[f30]) ).
fof(f62,plain,
! [X0,X1] : equally_directed_lines(parallel_through_point(X1,X0),X1),
inference(rectify,[],[f31]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2) ) ),
inference(rectify,[],[f32]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& distinct_points(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2) ) ),
inference(rectify,[],[f33]) ).
fof(f67,plain,
! [X0,X1,X2] :
( left_convergent_lines(X0,X1)
=> ( left_convergent_lines(X0,X2)
| unequally_directed_lines(X1,X2) ) ),
inference(rectify,[],[f36]) ).
fof(f68,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f69,plain,
! [X0,X1] :
( ( right_apart_point(X0,X1)
| left_apart_point(X0,X1) )
=> apart_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f37]) ).
fof(f72,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f73,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
| ( ~ right_apart_point(X0,X1)
& ~ left_apart_point(X0,X1) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f74,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f75,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f77,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f79,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f83,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f85,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( line(line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| ~ point(X1)
| ~ point(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f87,plain,
! [X0,X1] :
( line(line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| ~ point(X1)
| ~ point(X0) ),
inference(flattening,[],[f86]) ).
fof(f90,plain,
! [X0,X1] :
( line(parallel_through_point(X0,X1))
| ~ line(X0)
| ~ point(X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f91,plain,
! [X0,X1] :
( line(parallel_through_point(X0,X1))
| ~ line(X0)
| ~ point(X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f93,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X1,line_connecting(X0,X1))
& ~ apart_point_and_line(X0,line_connecting(X0,X1)) )
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f95,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2)
| ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f100,plain,
! [X0,X1,X2] :
( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2)
| ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f105,plain,
! [X0,X1,X2] :
( left_convergent_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f106,plain,
! [X0,X1,X2] :
( left_convergent_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ left_convergent_lines(X0,X1) ),
inference(flattening,[],[f105]) ).
fof(f108,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f110,plain,
! [X0,X1] :
( apart_point_and_line(X0,X1)
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f111,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f112,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f113,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f44]) ).
fof(f114,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f115,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f116,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f122,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f123,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f85]) ).
fof(f126,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f85]) ).
fof(f127,plain,
! [X0,X1] :
( line(line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| ~ point(X1)
| ~ point(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f129,plain,
! [X0,X1] :
( line(parallel_through_point(X0,X1))
| ~ line(X0)
| ~ point(X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f130,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f131,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f135,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f59]) ).
fof(f136,plain,
! [X0] : ~ distinct_lines(X0,reverse_line(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f137,plain,
! [X0,X1] :
( equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f138,plain,
! [X0,X1] : equally_directed_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f62]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,X3)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f140,plain,
! [X2,X0,X1] :
( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2)
| ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f143,plain,
! [X2,X0,X1] :
( left_convergent_lines(X0,X2)
| unequally_directed_lines(X1,X2)
| ~ left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_50,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_51,plain,
( ~ right_apart_point(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_53,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f111]) ).
cnf(c_54,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_55,plain,
~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f113]) ).
cnf(c_56,plain,
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_57,plain,
equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f115]) ).
cnf(c_58,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_63,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_64,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_66,plain,
~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f123]) ).
cnf(c_67,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f126]) ).
cnf(c_68,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f125]) ).
cnf(c_69,plain,
( ~ distinct_points(X0,X1)
| ~ point(X0)
| ~ point(X1)
| line(line_connecting(X0,X1)) ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_71,plain,
( ~ line(X0)
| ~ point(X1)
| line(parallel_through_point(X0,X1)) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_72,plain,
( ~ line(X0)
| line(reverse_line(X0)) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_73,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_74,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_76,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_77,plain,
~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f135]) ).
cnf(c_78,plain,
~ distinct_lines(X0,reverse_line(X0)),
inference(cnf_transformation,[],[f136]) ).
cnf(c_79,plain,
( ~ distinct_points(X0,X1)
| equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_80,plain,
equally_directed_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f138]) ).
cnf(c_81,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,X2)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X1,X3) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_82,plain,
( ~ left_apart_point(X0,X1)
| ~ distinct_points(X0,X2)
| left_convergent_lines(line_connecting(X0,X2),X1)
| left_apart_point(X2,X1) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_85,plain,
( ~ left_convergent_lines(X0,X1)
| unequally_directed_lines(X1,X2)
| left_convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_108,plain,
~ left_convergent_lines(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_85,c_68]) ).
cnf(c_114,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_68,c_67,c_64]) ).
cnf(c_121,plain,
~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_82,c_66]) ).
cnf(c_137,plain,
( ~ right_apart_point(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_139,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
cnf(c_143,plain,
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_74]) ).
cnf(c_144,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(renaming,[status(thm)],[c_143]) ).
cnf(c_145,plain,
( ~ distinct_points(X0,X1)
| equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_147,plain,
( ~ line(X0)
| line(reverse_line(X0)) ),
inference(prop_impl_just,[status(thm)],[c_72]) ).
cnf(c_149,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_73]) ).
cnf(c_217,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| left_apart_point(X0,reverse_line(X3))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X1,reverse_line(X3))
| left_apart_point(X0,X2)
| left_apart_point(X0,X3)
| left_apart_point(X1,X2)
| left_apart_point(X1,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_121]) ).
cnf(c_297,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_217,c_121,c_121,c_121,c_121,c_121,c_121,c_121]) ).
cnf(c_304,plain,
~ unequally_directed_lines(X0,X0),
inference(resolution,[status(thm)],[c_139,c_57]) ).
cnf(c_309,plain,
~ unequally_directed_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[status(thm)],[c_139,c_80]) ).
cnf(c_316,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(prop_impl_just,[status(thm)],[c_114]) ).
cnf(c_317,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_316]) ).
cnf(c_348,plain,
~ unequally_directed_lines(parallel_through_point(X0_13,X0_14),X0_13),
inference(subtyping,[status(esa)],[c_309]) ).
cnf(c_349,plain,
~ unequally_directed_lines(X0_13,X0_13),
inference(subtyping,[status(esa)],[c_304]) ).
cnf(c_350,plain,
( ~ unequally_directed_lines(X0_13,reverse_line(X1_13))
| ~ unequally_directed_lines(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_317]) ).
cnf(c_351,plain,
( unequally_directed_lines(X0_13,reverse_line(X1_13))
| unequally_directed_lines(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_63]) ).
cnf(c_352,plain,
( ~ unequally_directed_lines(X0_13,X1_13)
| unequally_directed_lines(X0_13,X2_13)
| unequally_directed_lines(X1_13,X2_13) ),
inference(subtyping,[status(esa)],[c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO355+1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 20:24:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.58 WARNING - Could not infer the problem pformat. Setting FOF as default
% 203.87/28.36 % SZS status Started for theBenchmark.p
% 203.87/28.36 % SZS status Satisfiable for theBenchmark.p
% 203.87/28.36
% 203.87/28.36 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 203.87/28.36
% 203.87/28.36 ------ iProver source info
% 203.87/28.36
% 203.87/28.36 git: date: 2023-05-31 18:12:56 +0000
% 203.87/28.36 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 203.87/28.36 git: non_committed_changes: false
% 203.87/28.36 git: last_make_outside_of_git: false
% 203.87/28.36
% 203.87/28.36 ------ Parsing...
% 203.87/28.36 ------ Clausification by vclausify_rel & Parsing by iProver...
% 203.87/28.36
% 203.87/28.36 ------ Preprocessing... sf_s rm: 16 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 203.87/28.36
% 203.87/28.36 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 203.87/28.36 ------ Proving...
% 203.87/28.36 ------ Problem Properties
% 203.87/28.36
% 203.87/28.36
% 203.87/28.36 clauses 5
% 203.87/28.36 conjectures 0
% 203.87/28.36 EPR 2
% 203.87/28.36 Horn 3
% 203.87/28.36 unary 2
% 203.87/28.36 binary 2
% 203.87/28.36 lits 9
% 203.87/28.36 lits eq 0
% 203.87/28.36 fd_pure 0
% 203.87/28.36 fd_pseudo 0
% 203.87/28.36 fd_cond 0
% 203.87/28.36 fd_pseudo_cond 0
% 203.87/28.36 AC symbols 0
% 203.87/28.36
% 203.87/28.36 ------ Input Options Time Limit: Unbounded
% 203.87/28.36
% 203.87/28.36
% 203.87/28.36 ------
% 203.87/28.36 Current options:
% 203.87/28.36 ------
% 203.87/28.36
% 203.87/28.36
% 203.87/28.36
% 203.87/28.36
% 203.87/28.36 ------ Proving...
% 203.87/28.36
% 203.87/28.36
% 203.87/28.36 % SZS status Satisfiable for theBenchmark.p
% 203.87/28.36
% 203.87/28.36 % SZS output start Saturation for theBenchmark.p
% See solution above
% 203.87/28.36
% 203.87/28.37
%------------------------------------------------------------------------------