TSTP Solution File: GEO184+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 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 23:09:59 EDT 2023
% Result : Theorem 2.53s 1.11s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 144 ( 51 ~; 50 |; 31 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn; 60 !; 12 ?)
% 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(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
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,
! [X0,X1,X3,X4] :
( ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( incident_point_and_line(X1,X3)
& incident_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> equal_lines(X3,line_connecting(X0,X1)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f51,plain,
~ ! [X0,X1,X2,X3] :
( ( incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> equal_lines(X2,line_connecting(X0,X1)) ),
inference(rectify,[],[f37]) ).
fof(f52,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
=> ~ apart_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f92,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f93,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f94,plain,
? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f95,plain,
? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
( ? [X0,X1,X2,X3] :
( ~ equal_lines(X2,line_connecting(X0,X1))
& incident_point_and_line(X1,X2)
& incident_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,sK2)
& incident_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ~ equal_lines(sK2,line_connecting(sK0,sK1))
& incident_point_and_line(sK1,sK2)
& incident_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f95,f96]) ).
fof(f104,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f105,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f134,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f135,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f97]) ).
fof(f138,plain,
incident_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f97]) ).
fof(f139,plain,
incident_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f97]) ).
fof(f140,plain,
~ equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f97]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_59,plain,
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_85,plain,
( distinct_lines(X0,X1)
| equal_lines(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_86,plain,
( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_87,negated_conjecture,
~ equal_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f140]) ).
cnf(c_88,negated_conjecture,
incident_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f139]) ).
cnf(c_89,negated_conjecture,
incident_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f138]) ).
cnf(c_91,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f136]) ).
cnf(c_306,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(resolution,[status(thm)],[c_85,c_87]) ).
cnf(c_311,plain,
~ apart_point_and_line(sK1,sK2),
inference(resolution,[status(thm)],[c_86,c_88]) ).
cnf(c_315,plain,
~ apart_point_and_line(sK0,sK2),
inference(resolution,[status(thm)],[c_86,c_89]) ).
cnf(c_482,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_483,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_493,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_538,plain,
( ~ distinct_lines(sK2,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_493]) ).
cnf(c_539,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_538,c_483,c_482,c_315,c_311,c_306,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO184+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 23:26:05 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.53/1.11 % SZS status Started for theBenchmark.p
% 2.53/1.11 % SZS status Theorem for theBenchmark.p
% 2.53/1.11
% 2.53/1.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.53/1.11
% 2.53/1.11 ------ iProver source info
% 2.53/1.11
% 2.53/1.11 git: date: 2023-05-31 18:12:56 +0000
% 2.53/1.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.53/1.11 git: non_committed_changes: false
% 2.53/1.11 git: last_make_outside_of_git: false
% 2.53/1.11
% 2.53/1.11 ------ Parsing...
% 2.53/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.53/1.11
% 2.53/1.11 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.53/1.11
% 2.53/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.53/1.11 ------ Proving...
% 2.53/1.11 ------ Problem Properties
% 2.53/1.11
% 2.53/1.11
% 2.53/1.11 clauses 33
% 2.53/1.11 conjectures 2
% 2.53/1.11 EPR 24
% 2.53/1.11 Horn 17
% 2.53/1.11 unary 12
% 2.53/1.11 binary 6
% 2.53/1.11 lits 80
% 2.53/1.11 lits eq 0
% 2.53/1.11 fd_pure 0
% 2.53/1.11 fd_pseudo 0
% 2.53/1.11 fd_cond 0
% 2.53/1.11 fd_pseudo_cond 0
% 2.53/1.11 AC symbols 0
% 2.53/1.11
% 2.53/1.11 ------ Schedule dynamic 5 is on
% 2.53/1.11
% 2.53/1.11 ------ no equalities: superposition off
% 2.53/1.11
% 2.53/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.53/1.11
% 2.53/1.11
% 2.53/1.11 ------
% 2.53/1.11 Current options:
% 2.53/1.11 ------
% 2.53/1.11
% 2.53/1.11
% 2.53/1.11
% 2.53/1.11
% 2.53/1.11 ------ Proving...
% 2.53/1.11
% 2.53/1.11
% 2.53/1.11 % SZS status Theorem for theBenchmark.p
% 2.53/1.11
% 2.53/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.53/1.11
% 2.53/1.11
%------------------------------------------------------------------------------