TSTP Solution File: GEO232+3 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 23:10:33 EDT 2023
% Result : Theorem 0.78s 1.16s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 13 |; 0 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn; 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
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(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f37,conjecture,
! [X3] : unequally_directed_opposite_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X3] : unequally_directed_opposite_lines(X3,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(f70,plain,
~ ! [X0] : unequally_directed_opposite_lines(X0,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_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f75,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f74]) ).
fof(f77,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f112,plain,
? [X0] : ~ unequally_directed_opposite_lines(X0,X0),
inference(ennf_transformation,[],[f70]) ).
fof(f113,plain,
( ? [X0] : ~ unequally_directed_opposite_lines(X0,X0)
=> ~ unequally_directed_opposite_lines(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f112,f113]) ).
fof(f115,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f117,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f124,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f48]) ).
fof(f130,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f153,plain,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(cnf_transformation,[],[f114]) ).
cnf(c_49,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_51,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_58,plain,
equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f124]) ).
cnf(c_64,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_87,negated_conjecture,
~ unequally_directed_opposite_lines(sK0,sK0),
inference(cnf_transformation,[],[f153]) ).
cnf(c_88,plain,
equally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_99,plain,
( unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_101,plain,
( ~ unequally_directed_lines(sK0,sK0)
| ~ equally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_102,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_opposite_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_103,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_102,c_101,c_99,c_87,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO232+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.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 : Tue Aug 29 20:12:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.78/1.16 % SZS status Started for theBenchmark.p
% 0.78/1.16 % SZS status Theorem for theBenchmark.p
% 0.78/1.16
% 0.78/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.78/1.16
% 0.78/1.16 ------ iProver source info
% 0.78/1.16
% 0.78/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.78/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.78/1.16 git: non_committed_changes: false
% 0.78/1.16 git: last_make_outside_of_git: false
% 0.78/1.16
% 0.78/1.16 ------ Parsing...
% 0.78/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.78/1.16
% 0.78/1.16 ------ Preprocessing...
% 0.78/1.16
% 0.78/1.16 % SZS status Theorem for theBenchmark.p
% 0.78/1.16
% 0.78/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.78/1.16
% 0.78/1.16
%------------------------------------------------------------------------------