TSTP Solution File: GEO191+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 23:10:05 EDT 2023
% Result : Theorem 3.24s 1.16s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 13 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 202 ( 70 ~; 94 |; 28 &)
% ( 0 <=>; 10 =>; 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 : 104 ( 0 sgn; 70 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
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(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),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,X3] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
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(f64,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f64]) ).
fof(f68,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f69,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f90,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f91,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f91,f92]) ).
fof(f96,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f103,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
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(f105,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f107,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f130,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f131,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f132,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f133,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
inference(cnf_transformation,[],[f93]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f96]) ).
cnf(c_57,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_58,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
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_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_85,negated_conjecture,
~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
inference(cnf_transformation,[],[f134]) ).
cnf(c_86,negated_conjecture,
~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
inference(cnf_transformation,[],[f133]) ).
cnf(c_87,negated_conjecture,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_88,negated_conjecture,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f131]) ).
cnf(c_89,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f130]) ).
cnf(c_90,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_458,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_459,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_460,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_461,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_472,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_473,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK1,sK0)
| convergent_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_472]) ).
cnf(c_507,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| distinct_points(intersection_point(sK0,sK1),X0)
| apart_point_and_line(X0,sK3) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_620,plain,
( ~ distinct_points(intersection_point(sK0,sK1),X0)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(intersection_point(sK0,sK1),X1)
| apart_point_and_line(intersection_point(sK0,sK1),X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_1643,plain,
( ~ apart_point_and_line(X0,sK2)
| distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_2198,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| ~ distinct_lines(sK1,X0)
| apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
inference(instantiation,[status(thm)],[c_620]) ).
cnf(c_2199,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| ~ distinct_lines(sK1,sK0)
| apart_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(intersection_point(sK2,sK3),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(instantiation,[status(thm)],[c_2198]) ).
cnf(c_4554,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| apart_point_and_line(intersection_point(sK2,sK3),sK3) ),
inference(instantiation,[status(thm)],[c_507]) ).
cnf(c_5070,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
inference(instantiation,[status(thm)],[c_1643]) ).
cnf(c_5071,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5070,c_4554,c_2199,c_473,c_461,c_460,c_459,c_458,c_87,c_85,c_86,c_90,c_88,c_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 21:58:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.24/1.16 % SZS status Started for theBenchmark.p
% 3.24/1.16 % SZS status Theorem for theBenchmark.p
% 3.24/1.16
% 3.24/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.24/1.16
% 3.24/1.16 ------ iProver source info
% 3.24/1.16
% 3.24/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.24/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.24/1.16 git: non_committed_changes: false
% 3.24/1.16 git: last_make_outside_of_git: false
% 3.24/1.16
% 3.24/1.16 ------ Parsing...
% 3.24/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.24/1.16
% 3.24/1.16 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.24/1.16
% 3.24/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.24/1.16 ------ Proving...
% 3.24/1.16 ------ Problem Properties
% 3.24/1.16
% 3.24/1.16
% 3.24/1.16 clauses 33
% 3.24/1.16 conjectures 5
% 3.24/1.16 EPR 22
% 3.24/1.16 Horn 16
% 3.24/1.16 unary 11
% 3.24/1.16 binary 7
% 3.24/1.16 lits 81
% 3.24/1.16 lits eq 0
% 3.24/1.16 fd_pure 0
% 3.24/1.16 fd_pseudo 0
% 3.24/1.16 fd_cond 0
% 3.24/1.16 fd_pseudo_cond 0
% 3.24/1.16 AC symbols 0
% 3.24/1.16
% 3.24/1.16 ------ Schedule dynamic 5 is on
% 3.24/1.16
% 3.24/1.16 ------ no equalities: superposition off
% 3.24/1.16
% 3.24/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.24/1.16
% 3.24/1.16
% 3.24/1.16 ------
% 3.24/1.16 Current options:
% 3.24/1.16 ------
% 3.24/1.16
% 3.24/1.16
% 3.24/1.16
% 3.24/1.16
% 3.24/1.16 ------ Proving...
% 3.24/1.16
% 3.24/1.16
% 3.24/1.16 % SZS status Theorem for theBenchmark.p
% 3.24/1.16
% 3.24/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.24/1.16
% 3.24/1.17
%------------------------------------------------------------------------------