TSTP Solution File: GEO200+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 02:16:54 EDT 2024
% Result : Theorem 0.35s 1.04s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 49 ( 10 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 137 ( 57 ~; 64 |; 6 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 58 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart4) ).
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(f36,conjecture,
! [X0,X1] :
( distinct_points(X0,X1)
=> equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( distinct_points(X0,X1)
=> equal_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
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] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f52,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f53,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f62,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(f63,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,[],[f62]) ).
fof(f90,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
? [X0,X1] :
( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f92,plain,
( ? [X0,X1] :
( ~ equal_lines(line_connecting(X0,X1),line_connecting(X1,X0))
& distinct_points(X0,X1) )
=> ( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f91,f92]) ).
fof(f94,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f97,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f100,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f101,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f104,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,[],[f63]) ).
fof(f130,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f131,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f93]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f94]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f101]) ).
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,[],[f104]) ).
cnf(c_85,plain,
( distinct_lines(X0,X1)
| equal_lines(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_86,negated_conjecture,
~ equal_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f132]) ).
cnf(c_87,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f131]) ).
cnf(c_90,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_291,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0)),
inference(resolution,[status(thm)],[c_85,c_86]) ).
cnf(c_451,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_452,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_453,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK0,X0)
| distinct_points(sK1,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_454,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK0,sK0)
| distinct_points(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_453]) ).
cnf(c_455,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_473,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,X0))
| ~ distinct_points(sK1,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_474,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_473]) ).
cnf(c_475,plain,
( ~ apart_point_and_line(X0,line_connecting(sK1,X0))
| ~ distinct_points(sK1,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_476,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_475]) ).
cnf(c_477,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_455]) ).
cnf(c_478,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_477,c_476,c_474,c_454,c_452,c_451,c_291,c_90,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO200+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n017.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 00:48:51 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.17/0.39 Running first-order theorem proving
% 0.17/0.39 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.35/1.04 % SZS status Started for theBenchmark.p
% 0.35/1.04 % SZS status Theorem for theBenchmark.p
% 0.35/1.04
% 0.35/1.04 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.35/1.04
% 0.35/1.04 ------ iProver source info
% 0.35/1.04
% 0.35/1.04 git: date: 2024-05-02 19:28:25 +0000
% 0.35/1.04 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.35/1.04 git: non_committed_changes: false
% 0.35/1.04
% 0.35/1.04 ------ Parsing...
% 0.35/1.04 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.35/1.04
% 0.35/1.04 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.35/1.04
% 0.35/1.04 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.35/1.04 ------ Proving...
% 0.35/1.04 ------ Problem Properties
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 clauses 30
% 0.35/1.04 conjectures 1
% 0.35/1.04 EPR 21
% 0.35/1.04 Horn 14
% 0.35/1.04 unary 9
% 0.35/1.04 binary 6
% 0.35/1.04 lits 77
% 0.35/1.04 lits eq 0
% 0.35/1.04 fd_pure 0
% 0.35/1.04 fd_pseudo 0
% 0.35/1.04 fd_cond 0
% 0.35/1.04 fd_pseudo_cond 0
% 0.35/1.04 AC symbols 0
% 0.35/1.04
% 0.35/1.04 ------ Schedule dynamic 5 is on
% 0.35/1.04
% 0.35/1.04 ------ no equalities: superposition off
% 0.35/1.04
% 0.35/1.04 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 ------
% 0.35/1.04 Current options:
% 0.35/1.04 ------
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 ------ Proving...
% 0.35/1.04
% 0.35/1.04
% 0.35/1.04 % SZS status Theorem for theBenchmark.p
% 0.35/1.04
% 0.35/1.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.35/1.04
% 0.35/1.04
%------------------------------------------------------------------------------