TSTP Solution File: GEO197+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 23:10:09 EDT 2023
% Result : Theorem 3.02s 1.12s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 17 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 112 ( 40 ~; 38 |; 27 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 3 sgn; 52 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> incident_point_and_line(intersection_point(X2,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> incident_point_and_line(intersection_point(X2,X1),X0) ),
inference(negated_conjecture,[],[f36]) ).
fof(f55,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f56,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f55]) ).
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(f69,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f89,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X2,X1),X0)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f90,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X2,X1),X0)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f92,plain,
( ? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X2,X1),X0)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( ~ incident_point_and_line(intersection_point(sK2,sK1),sK0)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ~ incident_point_and_line(intersection_point(sK2,sK1),sK0)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f90,f92]) ).
fof(f96,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f106,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(f108,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f109,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f110,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f131,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f136,plain,
~ incident_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f93]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f96]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f99]) ).
cnf(c_61,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_63,plain,
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_64,plain,
~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f109]) ).
cnf(c_65,plain,
~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f110]) ).
cnf(c_85,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_87,negated_conjecture,
~ incident_point_and_line(intersection_point(sK2,sK1),sK0),
inference(cnf_transformation,[],[f136]) ).
cnf(c_92,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_112,plain,
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_113,plain,
( apart_point_and_line(X0,X1)
| incident_point_and_line(X0,X1) ),
inference(renaming,[status(thm)],[c_112]) ).
cnf(c_197,plain,
( distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| incident_point_and_line(X2,X0) ),
inference(bin_hyper_res,[status(thm)],[c_61,c_113]) ).
cnf(c_431,plain,
( apart_point_and_line(intersection_point(sK2,sK1),X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[status(thm)],[c_87,c_197]) ).
cnf(c_639,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),parallel_through_point(X0,intersection_point(sK2,sK1))),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_640,plain,
( apart_point_and_line(intersection_point(sK2,sK1),parallel_through_point(X0,intersection_point(sK2,sK1)))
| distinct_lines(sK0,parallel_through_point(X0,intersection_point(sK2,sK1))) ),
inference(instantiation,[status(thm)],[c_431]) ).
cnf(c_641,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),parallel_through_point(sK0,intersection_point(sK2,sK1))),
inference(instantiation,[status(thm)],[c_639]) ).
cnf(c_642,plain,
( apart_point_and_line(intersection_point(sK2,sK1),parallel_through_point(sK0,intersection_point(sK2,sK1)))
| distinct_lines(sK0,parallel_through_point(sK0,intersection_point(sK2,sK1))) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_756,plain,
( ~ distinct_lines(sK0,parallel_through_point(X0,intersection_point(sK2,sK1)))
| convergent_lines(sK0,parallel_through_point(X0,intersection_point(sK2,sK1))) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_757,plain,
( ~ distinct_lines(sK0,parallel_through_point(sK0,intersection_point(sK2,sK1)))
| convergent_lines(sK0,parallel_through_point(sK0,intersection_point(sK2,sK1))) ),
inference(instantiation,[status(thm)],[c_756]) ).
cnf(c_1640,plain,
( ~ convergent_lines(sK0,parallel_through_point(X0,intersection_point(sK2,sK1)))
| convergent_lines(parallel_through_point(X0,intersection_point(sK2,sK1)),X1)
| convergent_lines(sK0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1645,plain,
( ~ convergent_lines(sK0,parallel_through_point(sK0,intersection_point(sK2,sK1)))
| convergent_lines(parallel_through_point(sK0,intersection_point(sK2,sK1)),sK0)
| convergent_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_1640]) ).
cnf(c_5629,plain,
~ convergent_lines(parallel_through_point(X0,intersection_point(sK2,sK1)),X0),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_5630,plain,
~ convergent_lines(parallel_through_point(sK0,intersection_point(sK2,sK1)),sK0),
inference(instantiation,[status(thm)],[c_5629]) ).
cnf(c_5631,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5630,c_1645,c_757,c_642,c_641,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO197+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 19:12:35 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.02/1.12 % SZS status Started for theBenchmark.p
% 3.02/1.12 % SZS status Theorem for theBenchmark.p
% 3.02/1.12
% 3.02/1.12 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.02/1.12
% 3.02/1.12 ------ iProver source info
% 3.02/1.12
% 3.02/1.12 git: date: 2023-05-31 18:12:56 +0000
% 3.02/1.12 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.02/1.12 git: non_committed_changes: false
% 3.02/1.12 git: last_make_outside_of_git: false
% 3.02/1.12
% 3.02/1.12 ------ Parsing...
% 3.02/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.02/1.12
% 3.02/1.12 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 3.02/1.12
% 3.02/1.12 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.02/1.12 ------ Proving...
% 3.02/1.12 ------ Problem Properties
% 3.02/1.12
% 3.02/1.12
% 3.02/1.12 clauses 35
% 3.02/1.12 conjectures 3
% 3.02/1.12 EPR 23
% 3.02/1.12 Horn 17
% 3.02/1.12 unary 12
% 3.02/1.12 binary 8
% 3.02/1.12 lits 84
% 3.02/1.12 lits eq 0
% 3.02/1.12 fd_pure 0
% 3.02/1.12 fd_pseudo 0
% 3.02/1.12 fd_cond 0
% 3.02/1.12 fd_pseudo_cond 0
% 3.02/1.12 AC symbols 0
% 3.02/1.12
% 3.02/1.12 ------ Schedule dynamic 5 is on
% 3.02/1.12
% 3.02/1.12 ------ no equalities: superposition off
% 3.02/1.12
% 3.02/1.12 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.02/1.12
% 3.02/1.12
% 3.02/1.12 ------
% 3.02/1.12 Current options:
% 3.02/1.12 ------
% 3.02/1.12
% 3.02/1.12
% 3.02/1.12
% 3.02/1.12
% 3.02/1.12 ------ Proving...
% 3.02/1.12
% 3.02/1.12
% 3.02/1.12 % SZS status Theorem for theBenchmark.p
% 3.02/1.12
% 3.02/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/1.12
% 3.02/1.13
%------------------------------------------------------------------------------