TSTP Solution File: GEO225+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 23:10:29 EDT 2023
% Result : Theorem 2.26s 1.09s
% Output : CNFRefutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 3 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 80 ( 26 ~; 16 |; 29 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 38 ( 0 sgn; 24 !; 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(f19,conjecture,
! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f20,negated_conjecture,
~ ! [X5,X6] :
( ( distinct_points(X5,X6)
& point(X6)
& point(X5) )
=> ? [X0] :
( line(X0)
=> ( ~ apart_point_and_line(X6,X0)
& ~ apart_point_and_line(X5,X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f26,plain,
~ ! [X0,X1] :
( ( distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X0,X2) ) ) ),
inference(rectify,[],[f20]) ).
fof(f33,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f34,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f53,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f54,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
( ? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) )
& line(X2) )
& distinct_points(X0,X1)
& point(X1)
& point(X0) )
=> ( ! [X2] :
( ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ! [X2] :
( ( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) )
& line(X2) )
& distinct_points(sK0,sK1)
& point(sK1)
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f54,f55]) ).
fof(f63,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f64,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f79,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X0))
| ~ distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_67,negated_conjecture,
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_69,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f77]) ).
cnf(c_228,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_229,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_236,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_237,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_236,c_229,c_228,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 29 22:05:46 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.26/1.09 % SZS status Started for theBenchmark.p
% 2.26/1.09 % SZS status Theorem for theBenchmark.p
% 2.26/1.09
% 2.26/1.09 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.26/1.09
% 2.26/1.09 ------ iProver source info
% 2.26/1.09
% 2.26/1.09 git: date: 2023-05-31 18:12:56 +0000
% 2.26/1.09 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.26/1.09 git: non_committed_changes: false
% 2.26/1.09 git: last_make_outside_of_git: false
% 2.26/1.09
% 2.26/1.09 ------ Parsing...
% 2.26/1.09 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.26/1.09
% 2.26/1.09 ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 2.26/1.09
% 2.26/1.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.26/1.09 ------ Proving...
% 2.26/1.09 ------ Problem Properties
% 2.26/1.09
% 2.26/1.09
% 2.26/1.09 clauses 11
% 2.26/1.09 conjectures 2
% 2.26/1.09 EPR 9
% 2.26/1.09 Horn 5
% 2.26/1.09 unary 3
% 2.26/1.09 binary 3
% 2.26/1.09 lits 27
% 2.26/1.09 lits eq 0
% 2.26/1.09 fd_pure 0
% 2.26/1.09 fd_pseudo 0
% 2.26/1.09 fd_cond 0
% 2.26/1.09 fd_pseudo_cond 0
% 2.26/1.09 AC symbols 0
% 2.26/1.09
% 2.26/1.09 ------ Schedule dynamic 5 is on
% 2.26/1.09
% 2.26/1.09 ------ no equalities: superposition off
% 2.26/1.09
% 2.26/1.09 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.26/1.09
% 2.26/1.09
% 2.26/1.09 ------
% 2.26/1.09 Current options:
% 2.26/1.09 ------
% 2.26/1.09
% 2.26/1.09
% 2.26/1.09
% 2.26/1.09
% 2.26/1.09 ------ Proving...
% 2.26/1.09
% 2.26/1.09
% 2.26/1.09 % SZS status Theorem for theBenchmark.p
% 2.26/1.09
% 2.26/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.26/1.09
% 2.26/1.09
%------------------------------------------------------------------------------