TSTP Solution File: GEO232+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 0.75s 1.12s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 16 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn; 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f13,axiom,
! [X1,X2] :
( ( line(X2)
& line(X1) )
=> ( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag8) ).
fof(f32,conjecture,
! [X1] :
( line(X1)
=> unequally_directed_lines(X1,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X1] :
( line(X1)
=> unequally_directed_lines(X1,reverse_line(X1)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f41,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
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(f59,plain,
~ ! [X0] :
( line(X0)
=> unequally_directed_lines(X0,reverse_line(X0)) ),
inference(rectify,[],[f33]) ).
fof(f70,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f71,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f70]) ).
fof(f96,plain,
? [X0] :
( ~ unequally_directed_lines(X0,reverse_line(X0))
& line(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f97,plain,
( ? [X0] :
( ~ unequally_directed_lines(X0,reverse_line(X0))
& line(X0) )
=> ( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK0))
& line(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f97]) ).
fof(f105,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f111,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f134,plain,
line(sK0),
inference(cnf_transformation,[],[f98]) ).
fof(f135,plain,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f98]) ).
cnf(c_55,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f105]) ).
cnf(c_61,plain,
( ~ line(X0)
| ~ line(X1)
| unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_84,negated_conjecture,
~ unequally_directed_lines(sK0,reverse_line(sK0)),
inference(cnf_transformation,[],[f135]) ).
cnf(c_85,negated_conjecture,
line(sK0),
inference(cnf_transformation,[],[f134]) ).
cnf(c_88,plain,
~ unequally_directed_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_99,plain,
( ~ line(sK0)
| unequally_directed_lines(sK0,reverse_line(sK0))
| unequally_directed_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_100,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_99,c_84,c_88,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO232+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.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 : Tue Aug 29 22:56:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.75/1.12 % SZS status Started for theBenchmark.p
% 0.75/1.12 % SZS status Theorem for theBenchmark.p
% 0.75/1.12
% 0.75/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.75/1.12
% 0.75/1.12 ------ iProver source info
% 0.75/1.12
% 0.75/1.12 git: date: 2023-05-31 18:12:56 +0000
% 0.75/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.75/1.12 git: non_committed_changes: false
% 0.75/1.12 git: last_make_outside_of_git: false
% 0.75/1.12
% 0.75/1.12 ------ Parsing...
% 0.75/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.75/1.12
% 0.75/1.12 ------ Preprocessing...
% 0.75/1.12
% 0.75/1.12 % SZS status Theorem for theBenchmark.p
% 0.75/1.12
% 0.75/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.75/1.12
% 0.75/1.12
%------------------------------------------------------------------------------