TSTP Solution File: GEO255+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 23:10:42 EDT 2023
% Result : Theorem 2.37s 1.03s
% Output : CNFRefutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 107 ( 17 unt; 0 def)
% Number of atoms : 302 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 339 ( 144 ~; 141 |; 38 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 183 ( 4 sgn; 87 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag5) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag6) ).
fof(f13,axiom,
! [X1,X2] :
( ( line(X2)
& line(X1) )
=> ( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag8) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag9) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag11) ).
fof(f18,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2)
& line(X2)
& line(X1) )
=> point(intersection_point(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco2) ).
fof(f20,axiom,
! [X1] :
( line(X1)
=> line(reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco4) ).
fof(f22,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco6) ).
fof(f25,axiom,
! [X0,X3] : ~ unequally_directed_lines(line_connecting(X0,X3),reverse_line(line_connecting(X3,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oagco9) ).
fof(f32,conjecture,
! [X1,X0,X3] :
( ( distinct_points(X0,X3)
& line(X1) )
=> ~ ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X3] :
( ( distinct_points(X0,X3)
& line(X1) )
=> ~ ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X3) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f41,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f42,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f44,plain,
! [X0,X1] :
( ( line(X1)
& line(X0) )
=> ( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f45,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,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f48,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1)
& line(X1)
& line(X0) )
=> point(intersection_point(X0,X1)) ),
inference(rectify,[],[f18]) ).
fof(f50,plain,
! [X0] :
( line(X0)
=> line(reverse_line(X0)) ),
inference(rectify,[],[f20]) ).
fof(f52,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,[],[f22]) ).
fof(f54,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(rectify,[],[f25]) ).
fof(f59,plain,
~ ! [X0,X1,X2] :
( ( distinct_points(X1,X2)
& line(X0) )
=> ~ ( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2) ) ),
inference(rectify,[],[f33]) ).
fof(f69,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f70,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f73,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f74,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f73]) ).
fof(f75,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,[],[f45]) ).
fof(f76,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,[],[f75]) ).
fof(f78,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f81,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f82,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f81]) ).
fof(f85,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f87,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,[],[f52]) ).
fof(f88,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,[],[f87]) ).
fof(f99,plain,
? [X0,X1,X2] :
( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2)
& distinct_points(X1,X2)
& line(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f100,plain,
? [X0,X1,X2] :
( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2)
& distinct_points(X1,X2)
& line(X0) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
( ? [X0,X1,X2] :
( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2)
& distinct_points(X1,X2)
& line(X0) )
=> ( before_on_line(sK0,sK2,sK1)
& before_on_line(sK0,sK1,sK2)
& distinct_points(sK1,sK2)
& line(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( before_on_line(sK0,sK2,sK1)
& before_on_line(sK0,sK1,sK2)
& distinct_points(sK1,sK2)
& line(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f100,f101]) ).
fof(f115,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f116,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f121,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f74]) ).
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,[],[f76]) ).
fof(f125,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f78]) ).
fof(f126,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f78]) ).
fof(f128,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f130,plain,
! [X0] :
( line(reverse_line(X0))
| ~ line(X0) ),
inference(cnf_transformation,[],[f85]) ).
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,[],[f88]) ).
fof(f137,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f54]) ).
fof(f144,plain,
line(sK0),
inference(cnf_transformation,[],[f102]) ).
cnf(c_61,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f115]) ).
cnf(c_62,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_67,plain,
( ~ line(X0)
| ~ line(X1)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_68,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_71,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f126]) ).
cnf(c_72,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f125]) ).
cnf(c_74,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1)
| point(intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f128]) ).
cnf(c_76,plain,
( ~ line(X0)
| line(reverse_line(X0)) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_80,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_83,plain,
~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f137]) ).
cnf(c_93,negated_conjecture,
line(sK0),
inference(cnf_transformation,[],[f144]) ).
cnf(c_96,plain,
~ unequally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_104,plain,
( ~ line(sK0)
| line(reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_106,plain,
~ unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0))),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_109,plain,
( ~ line(sK0)
| unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_120,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_80,c_72,c_71,c_68]) ).
cnf(c_136,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_74,c_120]) ).
cnf(c_137,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_136]) ).
cnf(c_321,plain,
( ~ unequally_directed_lines(X0,reverse_line(reverse_line(X1)))
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_322,plain,
( ~ unequally_directed_lines(sK0,reverse_line(reverse_line(sK0)))
| ~ unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_323,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(reverse_line(X1),X2)
| unequally_directed_lines(X0,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_329,plain,
( ~ unequally_directed_lines(reverse_line(X0),X0)
| unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(X0,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_339,plain,
( ~ line(reverse_line(X0))
| ~ line(X1)
| unequally_directed_lines(X1,reverse_line(reverse_line(X0)))
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_341,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(X0))),reverse_line(reverse_line(X0)))
| ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(X0))),reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_343,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),reverse_line(reverse_line(sK0)))
| ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_341]) ).
cnf(c_346,plain,
( ~ unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(reverse_line(X0),X2)
| unequally_directed_lines(X1,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_347,plain,
( ~ unequally_directed_lines(reverse_line(X0),reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(X0),X1) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_349,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(reverse_line(X1),reverse_line(reverse_line(X2)))
| unequally_directed_lines(X0,reverse_line(reverse_line(X2))) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_350,plain,
( ~ unequally_directed_lines(reverse_line(X0),reverse_line(reverse_line(X1)))
| ~ unequally_directed_lines(reverse_line(X0),reverse_line(X1)) ),
inference(instantiation,[status(thm)],[c_321]) ).
cnf(c_368,plain,
( ~ line(reverse_line(reverse_line(X0)))
| ~ line(X1)
| unequally_directed_lines(X1,reverse_line(reverse_line(reverse_line(X0))))
| unequally_directed_lines(X1,reverse_line(reverse_line(X0))) ),
inference(instantiation,[status(thm)],[c_339]) ).
cnf(c_369,plain,
( ~ line(reverse_line(reverse_line(sK0)))
| ~ line(sK0)
| unequally_directed_lines(sK0,reverse_line(reverse_line(reverse_line(sK0))))
| unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))) ),
inference(instantiation,[status(thm)],[c_368]) ).
cnf(c_370,plain,
( ~ line(reverse_line(X0))
| line(reverse_line(reverse_line(X0))) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_371,plain,
( ~ line(reverse_line(sK0))
| line(reverse_line(reverse_line(sK0))) ),
inference(instantiation,[status(thm)],[c_370]) ).
cnf(c_383,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(reverse_line(X1),reverse_line(X2))
| unequally_directed_lines(X0,reverse_line(X2)) ),
inference(instantiation,[status(thm)],[c_323]) ).
cnf(c_398,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(X0))),reverse_line(reverse_line(X0)))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(X0))),reverse_line(X0))
| unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_399,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),reverse_line(reverse_line(sK0)))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),reverse_line(sK0))
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_398]) ).
cnf(c_405,plain,
( ~ unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(reverse_line(X0),reverse_line(X0))
| unequally_directed_lines(X1,reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_410,plain,
( ~ unequally_directed_lines(reverse_line(X0),X1)
| unequally_directed_lines(reverse_line(X0),reverse_line(X2))
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_484,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(reverse_line(X0)))
| ~ unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(X0)) ),
inference(instantiation,[status(thm)],[c_350]) ).
cnf(c_486,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0)))
| ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_538,plain,
( ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(X2))
| unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(reverse_line(X2),reverse_line(line_connecting(X1,X0))) ),
inference(instantiation,[status(thm)],[c_383]) ).
cnf(c_557,plain,
( ~ unequally_directed_lines(X0,reverse_line(reverse_line(reverse_line(X1))))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(X1))),reverse_line(reverse_line(X1)))
| unequally_directed_lines(X0,reverse_line(reverse_line(X1))) ),
inference(instantiation,[status(thm)],[c_349]) ).
cnf(c_558,plain,
( ~ unequally_directed_lines(sK0,reverse_line(reverse_line(reverse_line(sK0))))
| unequally_directed_lines(reverse_line(reverse_line(reverse_line(sK0))),reverse_line(reverse_line(sK0)))
| unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))) ),
inference(instantiation,[status(thm)],[c_557]) ).
cnf(c_727,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X1)
| unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(reverse_line(X0)))
| unequally_directed_lines(X1,reverse_line(reverse_line(X0))) ),
inference(instantiation,[status(thm)],[c_405]) ).
cnf(c_774,plain,
( ~ unequally_directed_lines(reverse_line(X0),line_connecting(X1,X2))
| unequally_directed_lines(line_connecting(X1,X2),reverse_line(line_connecting(X2,X1)))
| unequally_directed_lines(reverse_line(X0),reverse_line(line_connecting(X2,X1))) ),
inference(instantiation,[status(thm)],[c_410]) ).
cnf(c_775,plain,
( ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0)))
| unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_774]) ).
cnf(c_1213,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(X0))
| unequally_directed_lines(reverse_line(reverse_line(X0)),X1)
| unequally_directed_lines(reverse_line(X0),X1) ),
inference(instantiation,[status(thm)],[c_329]) ).
cnf(c_1571,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(X1))
| ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X1) ),
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_2878,plain,
( ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(reverse_line(X2)))
| unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(reverse_line(reverse_line(X2)),reverse_line(line_connecting(X1,X0))) ),
inference(instantiation,[status(thm)],[c_538]) ).
cnf(c_2879,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(reverse_line(sK0)))
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(line_connecting(sK0,sK0)))
| unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_2878]) ).
cnf(c_3286,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(X0))
| unequally_directed_lines(reverse_line(reverse_line(X0)),line_connecting(X1,X2))
| unequally_directed_lines(reverse_line(X0),line_connecting(X1,X2)) ),
inference(instantiation,[status(thm)],[c_1213]) ).
cnf(c_3287,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0))
| unequally_directed_lines(reverse_line(reverse_line(sK0)),line_connecting(sK0,sK0))
| unequally_directed_lines(reverse_line(sK0),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_3286]) ).
cnf(c_3907,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(line_connecting(X1,X2)))
| ~ unequally_directed_lines(reverse_line(reverse_line(X0)),line_connecting(X1,X2)) ),
inference(instantiation,[status(thm)],[c_1571]) ).
cnf(c_3908,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(X0)),line_connecting(X1,X2))
| unequally_directed_lines(line_connecting(X1,X2),reverse_line(reverse_line(X0)))
| unequally_directed_lines(reverse_line(reverse_line(X0)),reverse_line(reverse_line(X0))) ),
inference(instantiation,[status(thm)],[c_727]) ).
cnf(c_3911,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),line_connecting(sK0,sK0))
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0)))
| unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(reverse_line(sK0))) ),
inference(instantiation,[status(thm)],[c_3908]) ).
cnf(c_3912,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(line_connecting(sK0,sK0)))
| ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_3907]) ).
cnf(c_7031,plain,
( ~ unequally_directed_lines(reverse_line(X0),reverse_line(line_connecting(X1,X2)))
| ~ unequally_directed_lines(reverse_line(X0),line_connecting(X1,X2)) ),
inference(instantiation,[status(thm)],[c_347]) ).
cnf(c_7032,plain,
( ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK0,sK0)))
| ~ unequally_directed_lines(reverse_line(sK0),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_7031]) ).
cnf(c_7289,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7032,c_3912,c_3911,c_3287,c_2879,c_775,c_558,c_486,c_399,c_371,c_369,c_343,c_322,c_109,c_106,c_104,c_96,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.09/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 29 23:40:32 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.37/1.03 % SZS status Started for theBenchmark.p
% 2.37/1.03 % SZS status Theorem for theBenchmark.p
% 2.37/1.03
% 2.37/1.03 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.37/1.03
% 2.37/1.03 ------ iProver source info
% 2.37/1.03
% 2.37/1.03 git: date: 2023-05-31 18:12:56 +0000
% 2.37/1.03 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.37/1.03 git: non_committed_changes: false
% 2.37/1.03 git: last_make_outside_of_git: false
% 2.37/1.03
% 2.37/1.03 ------ Parsing...
% 2.37/1.03 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.37/1.03
% 2.37/1.03 ------ Preprocessing... sf_s rm: 11 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.37/1.03
% 2.37/1.03 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.37/1.03 ------ Proving...
% 2.37/1.03 ------ Problem Properties
% 2.37/1.03
% 2.37/1.03
% 2.37/1.03 clauses 14
% 2.37/1.03 conjectures 2
% 2.37/1.03 EPR 7
% 2.37/1.03 Horn 11
% 2.37/1.03 unary 9
% 2.37/1.03 binary 2
% 2.37/1.03 lits 23
% 2.37/1.03 lits eq 0
% 2.37/1.03 fd_pure 0
% 2.37/1.03 fd_pseudo 0
% 2.37/1.03 fd_cond 0
% 2.37/1.03 fd_pseudo_cond 0
% 2.37/1.03 AC symbols 0
% 2.37/1.03
% 2.37/1.03 ------ Schedule dynamic 5 is on
% 2.37/1.03
% 2.37/1.03 ------ no equalities: superposition off
% 2.37/1.03
% 2.37/1.03 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.37/1.03
% 2.37/1.03
% 2.37/1.03 ------
% 2.37/1.03 Current options:
% 2.37/1.03 ------
% 2.37/1.03
% 2.37/1.03
% 2.37/1.03
% 2.37/1.03
% 2.37/1.03 ------ Proving...
% 2.37/1.03
% 2.37/1.03
% 2.37/1.03 % SZS status Theorem for theBenchmark.p
% 2.37/1.03
% 2.37/1.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.37/1.03
% 2.37/1.03
%------------------------------------------------------------------------------