TSTP Solution File: GEO225+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 23:10:30 EDT 2023
% Result : Theorem 2.36s 1.16s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 3 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 100 ( 38 ~; 22 |; 29 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn; 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f36,conjecture,
! [X8,X9] :
( ( distinct_points(X8,X9)
& point(X9)
& point(X8) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X8,X9] :
( ( distinct_points(X8,X9)
& point(X9)
& point(X8) )
=> ? [X0] :
( line(X0)
=> ( incident_point_and_line(X9,X0)
& incident_point_and_line(X8,X0) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f51,plain,
~ ! [X0,X1] :
( ( distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f37]) ).
fof(f52,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f91,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f92,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f93,plain,
? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
( ? [X0,X1] :
( ! [X2] :
( ( ~ incident_point_and_line(X1,X2)
| ~ incident_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ( ! [X2] :
( ( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ! [X2] :
( ( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f93,f94]) ).
fof(f102,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f103,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f132,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f135,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f95]) ).
fof(f137,plain,
! [X2] :
( ~ incident_point_and_line(sK1,X2)
| ~ incident_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
cnf(c_85,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_86,negated_conjecture,
( ~ incident_point_and_line(sK1,X0)
| ~ incident_point_and_line(sK0,X0) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_88,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f135]) ).
cnf(c_449,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_450,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_484,plain,
( apart_point_and_line(sK1,X0)
| incident_point_and_line(sK1,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_751,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| incident_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_484]) ).
cnf(c_1236,plain,
( ~ incident_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ incident_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_1392,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| incident_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_1393,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1392,c_1236,c_751,c_450,c_449,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO225+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 22:52:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.36/1.16 % SZS status Started for theBenchmark.p
% 2.36/1.16 % SZS status Theorem for theBenchmark.p
% 2.36/1.16
% 2.36/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.36/1.16
% 2.36/1.16 ------ iProver source info
% 2.36/1.16
% 2.36/1.16 git: date: 2023-05-31 18:12:56 +0000
% 2.36/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.36/1.16 git: non_committed_changes: false
% 2.36/1.16 git: last_make_outside_of_git: false
% 2.36/1.16
% 2.36/1.16 ------ Parsing...
% 2.36/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.36/1.16
% 2.36/1.16 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.36/1.16
% 2.36/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.36/1.16 ------ Proving...
% 2.36/1.16 ------ Problem Properties
% 2.36/1.16
% 2.36/1.16
% 2.36/1.16 clauses 31
% 2.36/1.16 conjectures 2
% 2.36/1.16 EPR 23
% 2.36/1.16 Horn 14
% 2.36/1.16 unary 8
% 2.36/1.16 binary 8
% 2.36/1.16 lits 80
% 2.36/1.16 lits eq 0
% 2.36/1.16 fd_pure 0
% 2.36/1.16 fd_pseudo 0
% 2.36/1.16 fd_cond 0
% 2.36/1.16 fd_pseudo_cond 0
% 2.36/1.16 AC symbols 0
% 2.36/1.16
% 2.36/1.16 ------ Schedule dynamic 5 is on
% 2.36/1.16
% 2.36/1.16 ------ no equalities: superposition off
% 2.36/1.16
% 2.36/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.36/1.16
% 2.36/1.16
% 2.36/1.16 ------
% 2.36/1.16 Current options:
% 2.36/1.16 ------
% 2.36/1.16
% 2.36/1.16
% 2.36/1.16
% 2.36/1.16
% 2.36/1.16 ------ Proving...
% 2.36/1.16
% 2.36/1.16
% 2.36/1.16 % SZS status Theorem for theBenchmark.p
% 2.36/1.16
% 2.36/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.36/1.16
% 2.36/1.16
%------------------------------------------------------------------------------