TSTP Solution File: GEO173+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 23:09:50 EDT 2023
% Result : Theorem 2.10s 1.18s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 129 ( 46 ~; 47 |; 28 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn; 44 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_lines(X3,line_connecting(X0,X1))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3) ) ),
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] :
( ( distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f37]) ).
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,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2)
& distinct_lines(X2,line_connecting(X0,X1))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ apart_point_and_line(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& distinct_lines(sK2,line_connecting(sK0,sK1))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f91,f92]) ).
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,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f93]) ).
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,negated_conjecture,
~ apart_point_and_line(sK1,sK2),
inference(cnf_transformation,[],[f134]) ).
cnf(c_86,negated_conjecture,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f133]) ).
cnf(c_87,negated_conjecture,
distinct_lines(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f132]) ).
cnf(c_89,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f130]) ).
cnf(c_455,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_456,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_479,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_521,plain,
( ~ distinct_lines(sK2,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,sK2)
| apart_point_and_line(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_479]) ).
cnf(c_522,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_521,c_456,c_455,c_87,c_85,c_86,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO173+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 22:35:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.10/1.18 % SZS status Started for theBenchmark.p
% 2.10/1.18 % SZS status Theorem for theBenchmark.p
% 2.10/1.18
% 2.10/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.10/1.18
% 2.10/1.18 ------ iProver source info
% 2.10/1.18
% 2.10/1.18 git: date: 2023-05-31 18:12:56 +0000
% 2.10/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.10/1.18 git: non_committed_changes: false
% 2.10/1.18 git: last_make_outside_of_git: false
% 2.10/1.18
% 2.10/1.18 ------ Parsing...
% 2.10/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.10/1.18
% 2.10/1.18 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.10/1.18
% 2.10/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.10/1.18 ------ Proving...
% 2.10/1.18 ------ Problem Properties
% 2.10/1.18
% 2.10/1.18
% 2.10/1.18 clauses 33
% 2.10/1.18 conjectures 5
% 2.10/1.18 EPR 24
% 2.10/1.18 Horn 17
% 2.10/1.18 unary 12
% 2.10/1.18 binary 6
% 2.10/1.18 lits 80
% 2.10/1.18 lits eq 0
% 2.10/1.18 fd_pure 0
% 2.10/1.18 fd_pseudo 0
% 2.10/1.18 fd_cond 0
% 2.10/1.18 fd_pseudo_cond 0
% 2.10/1.18 AC symbols 0
% 2.10/1.18
% 2.10/1.18 ------ Schedule dynamic 5 is on
% 2.10/1.18
% 2.10/1.18 ------ no equalities: superposition off
% 2.10/1.18
% 2.10/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.10/1.18
% 2.10/1.18
% 2.10/1.18 ------
% 2.10/1.18 Current options:
% 2.10/1.18 ------
% 2.10/1.18
% 2.10/1.18
% 2.10/1.18
% 2.10/1.18
% 2.10/1.18 ------ Proving...
% 2.10/1.18
% 2.10/1.18
% 2.10/1.18 % SZS status Theorem for theBenchmark.p
% 2.10/1.18
% 2.10/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.10/1.18
% 2.10/1.18
%------------------------------------------------------------------------------