TSTP Solution File: GEO225+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO225+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 1.93s 1.01s
% Output : CNFRefutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 102 ( 33 ~; 28 |; 32 &)
% ( 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 : 48 ( 0 sgn; 29 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f17,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(f18,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,[],[f17]) ).
fof(f24,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,[],[f18]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f50,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,[],[f24]) ).
fof(f51,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,[],[f50]) ).
fof(f52,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(f53,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])],[f51,f52]) ).
fof(f54,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f60,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f74,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f76,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f54]) ).
cnf(c_55,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_56,plain,
( ~ apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_67,negated_conjecture,
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_69,negated_conjecture,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f74]) ).
cnf(c_75,plain,
~ distinct_points(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_243,plain,
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_244,plain,
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(X0,sK0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_245,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_244]) ).
cnf(c_253,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(sK0,sK1)
| distinct_points(sK1,sK1) ),
inference(instantiation,[status(thm)],[c_243]) ).
cnf(c_254,plain,
~ distinct_points(sK1,sK1),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_260,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_261,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_260,c_254,c_253,c_245,c_75,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GEO225+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.10 % Command : run_iprover %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Tue Aug 29 20:06:47 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.93/1.01 % SZS status Started for theBenchmark.p
% 1.93/1.01 % SZS status Theorem for theBenchmark.p
% 1.93/1.01
% 1.93/1.01 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.93/1.01
% 1.93/1.01 ------ iProver source info
% 1.93/1.01
% 1.93/1.01 git: date: 2023-05-31 18:12:56 +0000
% 1.93/1.01 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.93/1.01 git: non_committed_changes: false
% 1.93/1.01 git: last_make_outside_of_git: false
% 1.93/1.01
% 1.93/1.01 ------ Parsing...
% 1.93/1.01 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.93/1.01
% 1.93/1.01 ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.93/1.01
% 1.93/1.01 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.93/1.01 ------ Proving...
% 1.93/1.01 ------ Problem Properties
% 1.93/1.01
% 1.93/1.01
% 1.93/1.01 clauses 11
% 1.93/1.01 conjectures 2
% 1.93/1.01 EPR 9
% 1.93/1.01 Horn 5
% 1.93/1.01 unary 3
% 1.93/1.01 binary 1
% 1.93/1.01 lits 29
% 1.93/1.01 lits eq 0
% 1.93/1.01 fd_pure 0
% 1.93/1.01 fd_pseudo 0
% 1.93/1.01 fd_cond 0
% 1.93/1.01 fd_pseudo_cond 0
% 1.93/1.01 AC symbols 0
% 1.93/1.01
% 1.93/1.01 ------ Schedule dynamic 5 is on
% 1.93/1.01
% 1.93/1.01 ------ no equalities: superposition off
% 1.93/1.01
% 1.93/1.01 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.93/1.01
% 1.93/1.01
% 1.93/1.01 ------
% 1.93/1.01 Current options:
% 1.93/1.01 ------
% 1.93/1.01
% 1.93/1.01
% 1.93/1.01
% 1.93/1.01
% 1.93/1.01 ------ Proving...
% 1.93/1.01
% 1.93/1.01
% 1.93/1.01 % SZS status Theorem for theBenchmark.p
% 1.93/1.01
% 1.93/1.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.93/1.01
% 1.93/1.01
%------------------------------------------------------------------------------