TSTP Solution File: GEO182+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 23:09:58 EDT 2023
% Result : Theorem 0.45s 1.07s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 11 unt; 0 def)
% Number of atoms : 156 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 166 ( 64 ~; 79 |; 12 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn; 64 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/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/sandbox/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/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(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,line_connecting(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X2,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,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f52,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f61,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(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(flattening,[],[f61]) ).
fof(f65,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f66,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f65]) ).
fof(f89,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f90,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X2,line_connecting(X1,X0))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK2,line_connecting(sK1,sK0))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK1,sK0))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f90,f91]) ).
fof(f93,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f96,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f99,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f100,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f103,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,[],[f62]) ).
fof(f105,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f129,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f130,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f92]) ).
fof(f131,plain,
~ apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f92]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f93]) ).
cnf(c_52,plain,
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
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,[],[f103]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_85,negated_conjecture,
~ apart_point_and_line(sK2,line_connecting(sK1,sK0)),
inference(cnf_transformation,[],[f131]) ).
cnf(c_86,negated_conjecture,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f130]) ).
cnf(c_87,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f129]) ).
cnf(c_90,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_444,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_445,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_446,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_447,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK1,sK0)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_446]) ).
cnf(c_450,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_465,plain,
( ~ distinct_lines(X0,X1)
| ~ distinct_points(sK1,X2)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK1,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_467,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,X0))
| ~ distinct_points(sK1,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_468,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_467]) ).
cnf(c_469,plain,
( ~ apart_point_and_line(X0,line_connecting(sK1,X0))
| ~ distinct_points(sK1,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_470,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_469]) ).
cnf(c_541,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
| distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
| apart_point_and_line(sK2,line_connecting(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_450]) ).
cnf(c_787,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
| ~ distinct_points(sK1,X0)
| apart_point_and_line(X0,line_connecting(sK1,sK0))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_465]) ).
cnf(c_791,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK1,sK0))
| ~ distinct_points(sK1,sK0)
| apart_point_and_line(sK1,line_connecting(sK1,sK0))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK1,sK0))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_787]) ).
cnf(c_792,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_791,c_541,c_470,c_468,c_447,c_445,c_444,c_85,c_86,c_90,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GEO182+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n004.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 29 21:11:37 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.45/1.07 % SZS status Started for theBenchmark.p
% 0.45/1.07 % SZS status Theorem for theBenchmark.p
% 0.45/1.07
% 0.45/1.07 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.07
% 0.45/1.07 ------ iProver source info
% 0.45/1.07
% 0.45/1.07 git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.07 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.07 git: non_committed_changes: false
% 0.45/1.07 git: last_make_outside_of_git: false
% 0.45/1.07
% 0.45/1.07 ------ Parsing...
% 0.45/1.07 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.45/1.07
% 0.45/1.07 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.45/1.07
% 0.45/1.07 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.45/1.07 ------ Proving...
% 0.45/1.07 ------ Problem Properties
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 clauses 31
% 0.45/1.07 conjectures 3
% 0.45/1.07 EPR 21
% 0.45/1.07 Horn 15
% 0.45/1.07 unary 10
% 0.45/1.07 binary 6
% 0.45/1.07 lits 78
% 0.45/1.07 lits eq 0
% 0.45/1.07 fd_pure 0
% 0.45/1.07 fd_pseudo 0
% 0.45/1.07 fd_cond 0
% 0.45/1.07 fd_pseudo_cond 0
% 0.45/1.07 AC symbols 0
% 0.45/1.07
% 0.45/1.07 ------ Schedule dynamic 5 is on
% 0.45/1.07
% 0.45/1.07 ------ no equalities: superposition off
% 0.45/1.07
% 0.45/1.07 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 ------
% 0.45/1.07 Current options:
% 0.45/1.07 ------
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 ------ Proving...
% 0.45/1.07
% 0.45/1.07
% 0.45/1.07 % SZS status Theorem for theBenchmark.p
% 0.45/1.07
% 0.45/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.07
% 0.45/1.08
%------------------------------------------------------------------------------