TSTP Solution File: GEO199+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 23:10:11 EDT 2023
% Result : Theorem 2.89s 1.17s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 17 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 226 ( 84 ~; 102 |; 30 &)
% ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 0 sgn; 75 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f9,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(f10,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(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
inference(negated_conjecture,[],[f13]) ).
fof(f15,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,[],[f9]) ).
fof(f20,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,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,[],[f15]) ).
fof(f27,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,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f32,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f34,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ apart_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])],[f34,f35]) ).
fof(f37,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f45,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,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,[],[f27]) ).
fof(f48,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f36]) ).
cnf(c_49,plain,
~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f37]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f39]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
cnf(c_57,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f46]) ).
cnf(c_58,plain,
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f45]) ).
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,[],[f47]) ).
cnf(c_60,plain,
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
cnf(c_62,plain,
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
cnf(c_63,negated_conjecture,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f55]) ).
cnf(c_64,negated_conjecture,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f54]) ).
cnf(c_67,negated_conjecture,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
cnf(c_68,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_159,plain,
( ~ convergent_lines(sK0,sK1)
| distinct_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_164,plain,
( ~ convergent_lines(sK0,sK1)
| convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_165,plain,
( ~ convergent_lines(sK0,sK1)
| convergent_lines(sK1,sK0)
| convergent_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_164]) ).
cnf(c_166,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| distinct_points(intersection_point(sK1,sK0),X0)
| apart_point_and_line(X0,sK2) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_174,plain,
( ~ apart_point_and_line(X0,sK1)
| ~ convergent_lines(sK0,sK1)
| distinct_points(X0,intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_197,plain,
( ~ convergent_lines(sK1,X0)
| ~ apart_point_and_line(X1,sK1)
| distinct_points(X1,intersection_point(sK1,X0)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_198,plain,
( ~ apart_point_and_line(X0,X1)
| ~ convergent_lines(sK1,X1)
| distinct_points(X0,intersection_point(sK1,X1)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_212,plain,
( ~ distinct_points(intersection_point(sK1,sK0),X0)
| ~ distinct_lines(X1,X2)
| apart_point_and_line(intersection_point(sK1,sK0),X1)
| apart_point_and_line(intersection_point(sK1,sK0),X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_248,plain,
( ~ apart_point_and_line(intersection_point(sK1,X0),sK1)
| ~ convergent_lines(sK1,X0)
| distinct_points(intersection_point(sK1,X0),intersection_point(sK1,X0)) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_249,plain,
~ distinct_points(intersection_point(sK1,X0),intersection_point(sK1,X0)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_250,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK1)
| ~ convergent_lines(sK1,sK0)
| distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_248]) ).
cnf(c_251,plain,
~ distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK0)),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_288,plain,
( ~ distinct_points(intersection_point(sK1,sK0),X0)
| ~ distinct_lines(sK0,sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK0)
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK0) ),
inference(instantiation,[status(thm)],[c_212]) ).
cnf(c_329,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK0)
| ~ convergent_lines(sK1,sK0)
| distinct_points(intersection_point(sK1,sK0),intersection_point(sK1,sK0)) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_331,plain,
( ~ apart_point_and_line(X0,X1)
| ~ convergent_lines(X1,sK1)
| distinct_points(X0,intersection_point(X1,sK1)) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_348,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| distinct_points(intersection_point(sK1,sK0),intersection_point(sK0,sK1))
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_565,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK0,sK1)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_174]) ).
cnf(c_566,plain,
~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1165,plain,
( ~ distinct_points(intersection_point(sK1,sK0),intersection_point(sK0,sK1))
| ~ distinct_lines(sK0,sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK1)
| apart_point_and_line(intersection_point(sK1,sK0),sK0)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_1539,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ convergent_lines(sK0,sK1)
| distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK1)) ),
inference(instantiation,[status(thm)],[c_331]) ).
cnf(c_1545,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1539,c_1165,c_566,c_565,c_348,c_329,c_251,c_250,c_165,c_159,c_64,c_63,c_68,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.15 % Command : run_iprover %s %d THM
% 0.16/0.37 % Computer : n014.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 20:50:30 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.89/1.17 % SZS status Started for theBenchmark.p
% 2.89/1.17 % SZS status Theorem for theBenchmark.p
% 2.89/1.17
% 2.89/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.89/1.17
% 2.89/1.17 ------ iProver source info
% 2.89/1.17
% 2.89/1.17 git: date: 2023-05-31 18:12:56 +0000
% 2.89/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.89/1.17 git: non_committed_changes: false
% 2.89/1.17 git: last_make_outside_of_git: false
% 2.89/1.17
% 2.89/1.17 ------ Parsing...
% 2.89/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.89/1.17
% 2.89/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.89/1.17
% 2.89/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.89/1.17 ------ Proving...
% 2.89/1.17 ------ Problem Properties
% 2.89/1.17
% 2.89/1.17
% 2.89/1.17 clauses 19
% 2.89/1.17 conjectures 5
% 2.89/1.17 EPR 13
% 2.89/1.17 Horn 13
% 2.89/1.17 unary 8
% 2.89/1.17 binary 1
% 2.89/1.17 lits 43
% 2.89/1.17 lits eq 0
% 2.89/1.17 fd_pure 0
% 2.89/1.17 fd_pseudo 0
% 2.89/1.17 fd_cond 0
% 2.89/1.17 fd_pseudo_cond 0
% 2.89/1.17 AC symbols 0
% 2.89/1.17
% 2.89/1.17 ------ Schedule dynamic 5 is on
% 2.89/1.17
% 2.89/1.17 ------ no equalities: superposition off
% 2.89/1.17
% 2.89/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.89/1.17
% 2.89/1.17
% 2.89/1.17 ------
% 2.89/1.17 Current options:
% 2.89/1.17 ------
% 2.89/1.17
% 2.89/1.17
% 2.89/1.17
% 2.89/1.17
% 2.89/1.17 ------ Proving...
% 2.89/1.17
% 2.89/1.17
% 2.89/1.17 % SZS status Theorem for theBenchmark.p
% 2.89/1.17
% 2.89/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.89/1.18
% 2.89/1.18
%------------------------------------------------------------------------------