TSTP Solution File: GEO269+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:17:20 EDT 2024
% Result : Theorem 0.86s 1.17s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 19 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 127 ( 64 ~; 43 |; 9 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 93 ( 4 sgn 66 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_defns) ).
fof(f5,axiom,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
<=> ~ unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_defns) ).
fof(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5_basics) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
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/sandbox/benchmark/theBenchmark.p',ax6_cons_objs) ).
fof(f37,conjecture,
! [X3] : equally_directed_opposite_lines(X3,reverse_line(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X3] : equally_directed_opposite_lines(X3,reverse_line(X3)),
inference(negated_conjecture,[],[f37]) ).
fof(f48,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(rectify,[],[f15]) ).
fof(f51,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f52,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(f54,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f60,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(f70,plain,
~ ! [X0] : equally_directed_opposite_lines(X0,reverse_line(X0)),
inference(rectify,[],[f38]) ).
fof(f71,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f74,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
=> equally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f75,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
=> unequally_directed_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f76,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f78,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f79,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f89,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,[],[f52]) ).
fof(f90,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,[],[f89]) ).
fof(f92,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f101,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,[],[f60]) ).
fof(f102,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,[],[f101]) ).
fof(f114,plain,
? [X0] : ~ equally_directed_opposite_lines(X0,reverse_line(X0)),
inference(ennf_transformation,[],[f70]) ).
fof(f115,plain,
( ? [X0] : ~ equally_directed_opposite_lines(X0,reverse_line(X0))
=> ~ equally_directed_opposite_lines(sK0,reverse_line(sK0)) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f114,f115]) ).
fof(f117,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f119,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f120,plain,
! [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f127,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f133,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f134,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,[],[f90]) ).
fof(f137,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f92]) ).
fof(f138,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f92]) ).
fof(f145,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,[],[f102]) ).
fof(f156,plain,
~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_49,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_51,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_52,plain,
( unequally_directed_opposite_lines(X0,X1)
| equally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_59,plain,
equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f127]) ).
cnf(c_65,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_66,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,[],[f134]) ).
cnf(c_69,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f138]) ).
cnf(c_70,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f137]) ).
cnf(c_78,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,[],[f145]) ).
cnf(c_88,negated_conjecture,
~ equally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f156]) ).
cnf(c_89,plain,
equally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_101,plain,
( unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_103,plain,
( ~ unequally_directed_lines(sK0,sK0)
| ~ equally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_117,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_70,c_69,c_66]) ).
cnf(c_140,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_49,c_117]) ).
cnf(c_141,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_140]) ).
cnf(c_142,plain,
( unequally_directed_opposite_lines(X0,X1)
| equally_directed_opposite_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_333,plain,
unequally_directed_opposite_lines(sK0,reverse_line(sK0)),
inference(resolution,[status(thm)],[c_142,c_88]) ).
cnf(c_338,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(resolution,[status(thm)],[c_141,c_333]) ).
cnf(c_339,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_338,c_103,c_101,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO269+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:16:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.86/1.17 % SZS status Started for theBenchmark.p
% 0.86/1.17 % SZS status Theorem for theBenchmark.p
% 0.86/1.17
% 0.86/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.86/1.17
% 0.86/1.17 ------ iProver source info
% 0.86/1.17
% 0.86/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.86/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.86/1.17 git: non_committed_changes: false
% 0.86/1.17
% 0.86/1.17 ------ Parsing...
% 0.86/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.86/1.17
% 0.86/1.17 ------ Preprocessing... sf_s rm: 16 0s sf_e pe_s pe:1:0s
% 0.86/1.17
% 0.86/1.17 % SZS status Theorem for theBenchmark.p
% 0.86/1.17
% 0.86/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.86/1.17
% 0.86/1.17
%------------------------------------------------------------------------------