TSTP Solution File: GEO227+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO227+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 02:17:07 EDT 2024
% Result : Theorem 0.45s 1.14s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 61 ( 30 ~; 17 |; 7 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 56 ( 0 sgn 36 !; 4 ?)
% 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(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(f37,conjecture,
! [X3,X4] :
~ ( equally_directed_opposite_lines(X3,X4)
& equally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X3,X4] :
~ ( equally_directed_opposite_lines(X3,X4)
& equally_directed_lines(X3,X4) ),
inference(negated_conjecture,[],[f37]) ).
fof(f51,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f70,plain,
~ ! [X0,X1] :
~ ( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X1) ),
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] :
( equally_directed_opposite_lines(X0,X1)
=> ~ unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f75,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
=> unequally_directed_opposite_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f76,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(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] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f114,plain,
? [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f115,plain,
( ? [X0,X1] :
( equally_directed_opposite_lines(X0,X1)
& equally_directed_lines(X0,X1) )
=> ( equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( equally_directed_opposite_lines(sK0,sK1)
& equally_directed_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f114,f115]) ).
fof(f117,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(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] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f133,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f156,plain,
equally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
fof(f157,plain,
equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f116]) ).
cnf(c_49,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,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_65,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_88,negated_conjecture,
equally_directed_opposite_lines(sK0,sK1),
inference(cnf_transformation,[],[f157]) ).
cnf(c_89,negated_conjecture,
equally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f156]) ).
cnf(c_141,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ equally_directed_opposite_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_52]) ).
cnf(c_145,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_51]) ).
cnf(c_147,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_65,c_49]) ).
cnf(c_148,plain,
( unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_147]) ).
cnf(c_337,plain,
~ unequally_directed_opposite_lines(sK0,sK1),
inference(resolution,[status(thm)],[c_141,c_88]) ).
cnf(c_342,plain,
unequally_directed_lines(sK0,sK1),
inference(resolution,[status(thm)],[c_148,c_337]) ).
cnf(c_357,plain,
~ unequally_directed_lines(sK0,sK1),
inference(resolution,[status(thm)],[c_145,c_89]) ).
cnf(c_358,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_357,c_342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO227+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 01:20:32 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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
% 0.45/1.14 % SZS status Started for theBenchmark.p
% 0.45/1.14 % SZS status Theorem for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.14
% 0.45/1.14 ------ iProver source info
% 0.45/1.14
% 0.45/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.14 git: non_committed_changes: false
% 0.45/1.14
% 0.45/1.14 ------ Parsing...
% 0.45/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.45/1.14
% 0.45/1.14 ------ Preprocessing... sf_s rm: 16 0s sf_e pe_s pe:1:0s pe:2:0s
% 0.45/1.14
% 0.45/1.14 % SZS status Theorem for theBenchmark.p
% 0.45/1.14
% 0.45/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.14
% 0.45/1.14
%------------------------------------------------------------------------------