TSTP Solution File: GEO233+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 23:10:33 EDT 2023
% Result : Theorem 0.47s 1.16s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 17 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 162 ( 77 ~; 61 |; 15 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 84 ( 4 sgn; 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X1] : ~ unequally_directed_lines(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f11,axiom,
! [X1,X2,X5] :
( unequally_directed_lines(X1,X2)
=> ( unequally_directed_lines(X2,X5)
| unequally_directed_lines(X1,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag9) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f18,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2)
& line(X2)
& line(X1) )
=> point(intersection_point(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco2) ).
fof(f22,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( ~ apart_point_and_line(intersection_point(X1,X2),X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oagco6) ).
fof(f32,conjecture,
! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X1] : ~ unequally_directed_lines(reverse_line(reverse_line(X1)),X1),
inference(negated_conjecture,[],[f32]) ).
fof(f41,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(rectify,[],[f10]) ).
fof(f42,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f45,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f48,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1)
& line(X1)
& line(X0) )
=> point(intersection_point(X0,X1)) ),
inference(rectify,[],[f18]) ).
fof(f52,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) ) ),
inference(rectify,[],[f22]) ).
fof(f59,plain,
~ ! [X0] : ~ unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(rectify,[],[f33]) ).
fof(f66,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f67,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f72,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f73,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f75,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f79,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f78]) ).
fof(f84,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X1)
& ~ apart_point_and_line(intersection_point(X0,X1),X0) )
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f84]) ).
fof(f96,plain,
? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0),
inference(ennf_transformation,[],[f59]) ).
fof(f97,plain,
( ? [X0] : unequally_directed_lines(reverse_line(reverse_line(X0)),X0)
=> unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f96,f97]) ).
fof(f105,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
! [X2,X0,X1] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f112,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f115,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f75]) ).
fof(f116,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f118,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f134,plain,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f98]) ).
cnf(c_55,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f105]) ).
cnf(c_56,plain,
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_62,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_65,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_66,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f115]) ).
cnf(c_68,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1)
| point(intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_74,plain,
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_84,negated_conjecture,
unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0),
inference(cnf_transformation,[],[f134]) ).
cnf(c_109,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_74,c_66,c_65,c_62]) ).
cnf(c_125,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_109]) ).
cnf(c_126,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_125]) ).
cnf(c_238,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0))
| ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_239,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),X0)
| unequally_directed_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_240,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0)))
| unequally_directed_lines(sK0,reverse_line(reverse_line(sK0))) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_241,plain,
~ unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(reverse_line(sK0))),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_244,plain,
( ~ unequally_directed_lines(reverse_line(reverse_line(sK0)),sK0)
| unequally_directed_lines(reverse_line(reverse_line(sK0)),reverse_line(sK0))
| unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_239]) ).
cnf(c_249,plain,
( ~ unequally_directed_lines(sK0,reverse_line(reverse_line(sK0)))
| ~ unequally_directed_lines(sK0,reverse_line(sK0)) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_250,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_249,c_244,c_241,c_240,c_238,c_84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:27:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.16 % SZS status Started for theBenchmark.p
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.16
% 0.47/1.16 ------ iProver source info
% 0.47/1.16
% 0.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.16 git: non_committed_changes: false
% 0.47/1.16 git: last_make_outside_of_git: false
% 0.47/1.16
% 0.47/1.16 ------ Parsing...
% 0.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... sf_s rm: 15 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.16
% 0.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.16 ------ Proving...
% 0.47/1.16 ------ Problem Properties
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 clauses 6
% 0.47/1.16 conjectures 1
% 0.47/1.16 EPR 2
% 0.47/1.16 Horn 5
% 0.47/1.16 unary 4
% 0.47/1.16 binary 1
% 0.47/1.16 lits 9
% 0.47/1.16 lits eq 0
% 0.47/1.16 fd_pure 0
% 0.47/1.16 fd_pseudo 0
% 0.47/1.16 fd_cond 0
% 0.47/1.16 fd_pseudo_cond 0
% 0.47/1.16 AC symbols 0
% 0.47/1.16
% 0.47/1.16 ------ Schedule dynamic 5 is on
% 0.47/1.16
% 0.47/1.16 ------ no equalities: superposition off
% 0.47/1.16
% 0.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------
% 0.47/1.16 Current options:
% 0.47/1.16 ------
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 ------ Proving...
% 0.47/1.16
% 0.47/1.16
% 0.47/1.16 % SZS status Theorem for theBenchmark.p
% 0.47/1.16
% 0.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.16
% 0.47/1.16
%------------------------------------------------------------------------------