TSTP Solution File: GEO254+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO254+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 : Fri May 3 02:17:16 EDT 2024
% Result : Theorem 3.72s 1.17s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 116 ( 20 unt; 0 def)
% Number of atoms : 371 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 423 ( 168 ~; 181 |; 55 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 221 ( 8 sgn 131 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X1,X0,X3] :
( before_on_line(X1,X0,X3)
<=> ( ~ unequally_directed_lines(X1,line_connecting(X0,X3))
& ~ ( left_apart_point(X3,reverse_line(X1))
| left_apart_point(X3,X1) )
& ~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) )
& distinct_points(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bf_def) ).
fof(f6,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag1) ).
fof(f7,axiom,
! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( distinct_points(X3,X4)
| distinct_points(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag2) ).
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(f12,axiom,
! [X1,X2,X5] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( ( unequally_directed_lines(X2,reverse_line(X5))
& unequally_directed_lines(X2,X5) )
| ( unequally_directed_lines(X1,reverse_line(X5))
& unequally_directed_lines(X1,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag7) ).
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(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
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(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(f28,axiom,
! [X0,X3,X1] :
( ( left_apart_point(X0,X1)
& distinct_points(X0,X3) )
=> ( left_convergent_lines(line_connecting(X0,X3),X1)
| left_apart_point(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oaguc2) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X0,X1)
& distinct_points(X0,X3) )
=> ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( ~ apart_point_and_line(X3,X1)
& ~ apart_point_and_line(X0,X1)
& distinct_points(X0,X3) )
=> ( before_on_line(X1,X3,X0)
& before_on_line(X1,X0,X3) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f36,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
<=> ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
& ~ ( left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0) )
& ~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) )
& distinct_points(X1,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f38,plain,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
inference(rectify,[],[f7]) ).
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(f43,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
| ( unequally_directed_lines(X0,reverse_line(X2))
& unequally_directed_lines(X0,X2) ) ) ),
inference(rectify,[],[f12]) ).
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(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(f56,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,[],[f28]) ).
fof(f59,plain,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ( before_on_line(X2,X1,X0)
& before_on_line(X2,X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
& ~ ( left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0) )
& ~ ( left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0) )
& distinct_points(X1,X2) )
=> before_on_line(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f63,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
| unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f64,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
| unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f66,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f65]) ).
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(f71,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
| ( unequally_directed_lines(X0,reverse_line(X2))
& unequally_directed_lines(X0,X2) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
| ( unequally_directed_lines(X0,reverse_line(X2))
& unequally_directed_lines(X0,X2) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f71]) ).
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(f77,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f78,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
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(f91,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,[],[f56]) ).
fof(f92,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,[],[f91]) ).
fof(f99,plain,
? [X0,X1,X2] :
( ( ~ before_on_line(X2,X1,X0)
| ~ before_on_line(X2,X0,X1) )
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f100,plain,
? [X0,X1,X2] :
( ( ~ before_on_line(X2,X1,X0)
| ~ before_on_line(X2,X0,X1) )
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f99]) ).
fof(f101,plain,
( ? [X0,X1,X2] :
( ( ~ before_on_line(X2,X1,X0)
| ~ before_on_line(X2,X0,X1) )
& ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,X1) )
=> ( ( ~ before_on_line(sK2,sK1,sK0)
| ~ before_on_line(sK2,sK0,sK1) )
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ( ~ before_on_line(sK2,sK1,sK0)
| ~ before_on_line(sK2,sK0,sK1) )
& ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f100,f101]) ).
fof(f105,plain,
! [X2,X0,X1] :
( before_on_line(X0,X1,X2)
| unequally_directed_lines(X0,line_connecting(X1,X2))
| left_apart_point(X2,reverse_line(X0))
| left_apart_point(X2,X0)
| left_apart_point(X1,reverse_line(X0))
| left_apart_point(X1,X0)
| ~ distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f107,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f111,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f115,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X0,reverse_line(X2))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f117,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(f118,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f77]) ).
fof(f120,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f78]) ).
fof(f121,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f78]) ).
fof(f128,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(f132,plain,
! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f54]) ).
fof(f135,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,[],[f92]) ).
fof(f139,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f102]) ).
fof(f142,plain,
( ~ before_on_line(sK2,sK1,sK0)
| ~ before_on_line(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_51,plain,
( ~ distinct_points(X0,X1)
| unequally_directed_lines(X2,line_connecting(X0,X1))
| before_on_line(X2,X0,X1)
| left_apart_point(X0,reverse_line(X2))
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,X2)
| left_apart_point(X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_52,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f106]) ).
cnf(c_53,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_57,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_58,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X2))
| unequally_directed_lines(X1,reverse_line(X2)) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_63,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,[],[f117]) ).
cnf(c_65,plain,
~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f118]) ).
cnf(c_66,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f121]) ).
cnf(c_67,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f120]) ).
cnf(c_75,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,[],[f128]) ).
cnf(c_78,plain,
~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
inference(cnf_transformation,[],[f132]) ).
cnf(c_81,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,[],[f135]) ).
cnf(c_85,negated_conjecture,
( ~ before_on_line(sK2,sK1,sK0)
| ~ before_on_line(sK2,sK0,sK1) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_88,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f139]) ).
cnf(c_93,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_100,plain,
~ unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0))),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_113,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_75,c_67,c_66,c_63]) ).
cnf(c_119,plain,
~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_81,c_65]) ).
cnf(c_127,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_113]) ).
cnf(c_147,plain,
( ~ distinct_points(X0,X1)
| unequally_directed_lines(X2,line_connecting(X0,X1))
| before_on_line(X2,X0,X1)
| left_apart_point(X1,reverse_line(X2))
| left_apart_point(X0,X2)
| left_apart_point(X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_119]) ).
cnf(c_223,plain,
( ~ distinct_points(X0,X1)
| unequally_directed_lines(X2,line_connecting(X0,X1))
| before_on_line(X2,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_147,c_119,c_119,c_119]) ).
cnf(c_287,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_288,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK1,sK0)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_291,plain,
( ~ distinct_points(sK1,X0)
| unequally_directed_lines(X1,line_connecting(sK1,X0))
| before_on_line(X1,sK1,X0) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_299,plain,
( ~ distinct_points(sK1,sK0)
| unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| before_on_line(sK2,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_291]) ).
cnf(c_300,plain,
( ~ unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(sK2,X0) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_305,plain,
( ~ distinct_points(X0,sK1)
| unequally_directed_lines(X1,line_connecting(X0,sK1))
| before_on_line(X1,X0,sK1) ),
inference(instantiation,[status(thm)],[c_223]) ).
cnf(c_311,plain,
( ~ unequally_directed_lines(X0,line_connecting(sK0,sK1))
| unequally_directed_lines(line_connecting(sK0,sK1),X1)
| unequally_directed_lines(X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_312,plain,
( ~ unequally_directed_lines(X0,reverse_line(line_connecting(sK0,sK1)))
| ~ unequally_directed_lines(X0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_323,plain,
( ~ distinct_points(sK0,sK1)
| unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| before_on_line(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_305]) ).
cnf(c_327,plain,
( ~ unequally_directed_lines(sK2,reverse_line(line_connecting(sK0,sK1)))
| ~ unequally_directed_lines(sK2,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_312]) ).
cnf(c_328,plain,
( ~ unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| unequally_directed_lines(line_connecting(sK0,sK1),X0)
| unequally_directed_lines(sK2,X0) ),
inference(instantiation,[status(thm)],[c_311]) ).
cnf(c_333,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(line_connecting(sK1,sK0),X1)
| unequally_directed_lines(X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_334,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(X0))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),X0) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_336,plain,
( ~ unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(sK0,sK1)))
| unequally_directed_lines(sK2,reverse_line(line_connecting(sK0,sK1))) ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_337,plain,
~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(sK0,sK1))),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_338,plain,
( ~ unequally_directed_lines(sK2,line_connecting(sK1,sK0))
| unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
| unequally_directed_lines(sK2,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_300]) ).
cnf(c_346,plain,
( ~ unequally_directed_lines(X0,line_connecting(sK1,X1))
| unequally_directed_lines(line_connecting(sK1,X1),X2)
| unequally_directed_lines(X0,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_371,plain,
( ~ unequally_directed_lines(sK2,line_connecting(sK0,sK1))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
| unequally_directed_lines(sK2,line_connecting(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_328]) ).
cnf(c_458,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),X0)
| unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(X1))
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(instantiation,[status(thm)],[c_333]) ).
cnf(c_488,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),X0)
| unequally_directed_lines(line_connecting(sK0,sK1),X1)
| unequally_directed_lines(X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_489,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(X0))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),X0) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_495,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK1,X0))
| unequally_directed_lines(line_connecting(sK1,X0),X1)
| unequally_directed_lines(line_connecting(sK0,sK1),X1) ),
inference(instantiation,[status(thm)],[c_346]) ).
cnf(c_593,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),X0)
| unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(X1))
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_822,plain,
( ~ unequally_directed_lines(line_connecting(sK1,X0),line_connecting(sK0,sK1))
| unequally_directed_lines(line_connecting(sK1,X0),X1)
| unequally_directed_lines(line_connecting(sK0,sK1),X1) ),
inference(instantiation,[status(thm)],[c_311]) ).
cnf(c_934,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(X0,X1))
| unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(X1,X0))) ),
inference(instantiation,[status(thm)],[c_458]) ).
cnf(c_935,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK1,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_934]) ).
cnf(c_1271,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X0,X1))
| unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(X1,X0))) ),
inference(instantiation,[status(thm)],[c_593]) ).
cnf(c_1272,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(sK0,sK0)))
| unequally_directed_lines(line_connecting(sK0,sK0),reverse_line(line_connecting(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_1271]) ).
cnf(c_3040,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK1,X0))
| unequally_directed_lines(line_connecting(sK1,X0),line_connecting(X1,X2))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X1,X2)) ),
inference(instantiation,[status(thm)],[c_495]) ).
cnf(c_3042,plain,
( ~ unequally_directed_lines(line_connecting(sK1,X0),line_connecting(sK0,sK1))
| unequally_directed_lines(line_connecting(sK1,X0),line_connecting(X1,X2))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X1,X2)) ),
inference(instantiation,[status(thm)],[c_822]) ).
cnf(c_3045,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK1))
| unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_3042]) ).
cnf(c_3047,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
| unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK0))
| unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_3040]) ).
cnf(c_4822,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(X0,X1)))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(X0,X1)) ),
inference(instantiation,[status(thm)],[c_489]) ).
cnf(c_4823,plain,
( ~ unequally_directed_lines(line_connecting(sK0,sK1),reverse_line(line_connecting(sK0,sK0)))
| ~ unequally_directed_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_4822]) ).
cnf(c_8168,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(X0,X1)))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(X0,X1)) ),
inference(instantiation,[status(thm)],[c_334]) ).
cnf(c_8169,plain,
( ~ unequally_directed_lines(line_connecting(sK1,sK0),reverse_line(line_connecting(sK0,sK0)))
| ~ unequally_directed_lines(line_connecting(sK1,sK0),line_connecting(sK0,sK0)) ),
inference(instantiation,[status(thm)],[c_8168]) ).
cnf(c_9933,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8169,c_4823,c_3047,c_3045,c_1272,c_935,c_371,c_338,c_337,c_336,c_327,c_323,c_299,c_288,c_85,c_100,c_93,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO254+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 02:02:01 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.72/1.17 % SZS status Started for theBenchmark.p
% 3.72/1.17 % SZS status Theorem for theBenchmark.p
% 3.72/1.17
% 3.72/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.72/1.17
% 3.72/1.17 ------ iProver source info
% 3.72/1.17
% 3.72/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.72/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.72/1.17 git: non_committed_changes: false
% 3.72/1.17
% 3.72/1.17 ------ Parsing...
% 3.72/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.72/1.17
% 3.72/1.17 ------ Preprocessing... sf_s rm: 15 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.72/1.17
% 3.72/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.72/1.17 ------ Proving...
% 3.72/1.17 ------ Problem Properties
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17 clauses 10
% 3.72/1.17 conjectures 2
% 3.72/1.17 EPR 6
% 3.72/1.17 Horn 7
% 3.72/1.17 unary 5
% 3.72/1.17 binary 2
% 3.72/1.17 lits 18
% 3.72/1.17 lits eq 0
% 3.72/1.17 fd_pure 0
% 3.72/1.17 fd_pseudo 0
% 3.72/1.17 fd_cond 0
% 3.72/1.17 fd_pseudo_cond 0
% 3.72/1.17 AC symbols 0
% 3.72/1.17
% 3.72/1.17 ------ Schedule dynamic 5 is on
% 3.72/1.17
% 3.72/1.17 ------ no equalities: superposition off
% 3.72/1.17
% 3.72/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17 ------
% 3.72/1.17 Current options:
% 3.72/1.17 ------
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17 ------ Proving...
% 3.72/1.17
% 3.72/1.17
% 3.72/1.17 % SZS status Theorem for theBenchmark.p
% 3.72/1.17
% 3.72/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.72/1.17
% 3.72/1.17
%------------------------------------------------------------------------------