TSTP Solution File: GEO251+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:17:15 EDT 2024
% Result : Theorem 1.11s 1.21s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 15 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 4 sgn 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f28,axiom,
! [X0,X3,X1] :
( ( left_apart_point(X0,X1)
& distinct_points(X0,X3) )
=> ( left_convergent_lines(line_connecting(X0,X3),X1)
| left_apart_point(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oaguc2) ).
fof(f32,conjecture,
! [X0,X3,X1] :
( left_apart_point(X3,reverse_line(parallel_through_point(X1,X0)))
=> left_apart_point(X0,parallel_through_point(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X1] :
( left_apart_point(X3,reverse_line(parallel_through_point(X1,X0)))
=> left_apart_point(X0,parallel_through_point(X1,X3)) ),
inference(negated_conjecture,[],[f32]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( left_apart_point(X0,X2)
& distinct_points(X0,X1) )
=> ( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2) ) ),
inference(rectify,[],[f28]) ).
fof(f59,plain,
~ ! [X0,X1,X2] :
( left_apart_point(X1,reverse_line(parallel_through_point(X2,X0)))
=> left_apart_point(X0,parallel_through_point(X2,X1)) ),
inference(rectify,[],[f33]) ).
fof(f74,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f88,plain,
! [X0,X1,X2] :
( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2)
| ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f89,plain,
! [X0,X1,X2] :
( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2)
| ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f96,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X0,parallel_through_point(X2,X1))
& left_apart_point(X1,reverse_line(parallel_through_point(X2,X0))) ),
inference(ennf_transformation,[],[f59]) ).
fof(f97,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X0,parallel_through_point(X2,X1))
& left_apart_point(X1,reverse_line(parallel_through_point(X2,X0))) )
=> ( ~ left_apart_point(sK0,parallel_through_point(sK2,sK1))
& left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ~ left_apart_point(sK0,parallel_through_point(sK2,sK1))
& left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f96,f97]) ).
fof(f113,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f74]) ).
fof(f130,plain,
! [X2,X0,X1] :
( left_convergent_lines(line_connecting(X0,X1),X2)
| left_apart_point(X1,X2)
| ~ left_apart_point(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f134,plain,
left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))),
inference(cnf_transformation,[],[f98]) ).
cnf(c_64,plain,
~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f113]) ).
cnf(c_80,plain,
( ~ left_apart_point(X0,X1)
| ~ distinct_points(X0,X2)
| left_convergent_lines(line_connecting(X0,X2),X1)
| left_apart_point(X2,X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_85,negated_conjecture,
left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))),
inference(cnf_transformation,[],[f134]) ).
cnf(c_116,plain,
~ left_apart_point(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_80,c_64]) ).
cnf(c_138,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_85,c_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 01:46:07 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 1.11/1.21 % SZS status Started for theBenchmark.p
% 1.11/1.21 % SZS status Theorem for theBenchmark.p
% 1.11/1.21
% 1.11/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.11/1.21
% 1.11/1.21 ------ iProver source info
% 1.11/1.21
% 1.11/1.21 git: date: 2024-05-02 19:28:25 +0000
% 1.11/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.11/1.21 git: non_committed_changes: false
% 1.11/1.21
% 1.11/1.21 ------ Parsing...
% 1.11/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.11/1.21
% 1.11/1.21 ------ Preprocessing...
% 1.11/1.21
% 1.11/1.21 % SZS status Theorem for theBenchmark.p
% 1.11/1.21
% 1.11/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.11/1.21
% 1.11/1.21
%------------------------------------------------------------------------------