TSTP Solution File: GEO253+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 02:17:16 EDT 2024
% Result : Theorem 0.76s 1.14s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 66 ( 31 ~; 12 |; 18 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 6 sgn 25 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( apart_point_and_line(X0,X1)
<=> ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apt_def) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( ( ~ apart_point_and_line(X3,parallel_through_point(X1,X0))
& apart_point_and_line(X0,X1) )
=> apart_point_and_line(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( ( ~ apart_point_and_line(X3,parallel_through_point(X1,X0))
& apart_point_and_line(X0,X1) )
=> apart_point_and_line(X3,X1) ),
inference(negated_conjecture,[],[f32]) ).
fof(f59,plain,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
& apart_point_and_line(X0,X2) )
=> apart_point_and_line(X1,X2) ),
inference(rectify,[],[f33]) ).
fof(f72,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f94,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
& apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f95,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
& apart_point_and_line(X0,X2) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ) )
& ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f97,plain,
! [X0,X1] :
( ( apart_point_and_line(X0,X1)
| ( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ) )
& ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
& apart_point_and_line(X0,X2) )
=> ( ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK1,parallel_through_point(sK2,sK0))
& apart_point_and_line(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK1,parallel_through_point(sK2,sK0))
& apart_point_and_line(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f95,f98]) ).
fof(f100,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f115,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f72]) ).
fof(f136,plain,
apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f99]) ).
cnf(c_51,plain,
( ~ apart_point_and_line(X0,X1)
| left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_64,plain,
~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_65,plain,
~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f115]) ).
cnf(c_87,negated_conjecture,
apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f136]) ).
cnf(c_111,plain,
~ apart_point_and_line(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_51,c_65,c_64,c_51]) ).
cnf(c_135,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_87,c_111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 01:07:32 EDT 2024
% 0.11/0.33 % 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
% 0.76/1.14 % SZS status Started for theBenchmark.p
% 0.76/1.14 % SZS status Theorem for theBenchmark.p
% 0.76/1.14
% 0.76/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.76/1.14
% 0.76/1.14 ------ iProver source info
% 0.76/1.14
% 0.76/1.14 git: date: 2024-05-02 19:28:25 +0000
% 0.76/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.76/1.14 git: non_committed_changes: false
% 0.76/1.14
% 0.76/1.14 ------ Parsing...
% 0.76/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.76/1.14
% 0.76/1.14 ------ Preprocessing...
% 0.76/1.14
% 0.76/1.14 % SZS status Theorem for theBenchmark.p
% 0.76/1.14
% 0.76/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.76/1.14
% 0.76/1.14
%------------------------------------------------------------------------------