TSTP Solution File: GEO268+3 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 23:10:47 EDT 2023
% Result : Theorem 0.46s 1.17s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 6 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 158 ( 72 ~; 62 |; 14 &)
% ( 4 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 4 sgn; 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_defns) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f19,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_basics) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11_basics) ).
fof(f27,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X4)
& ~ apart_point_and_line(intersection_point(X3,X4),X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_cons_objs) ).
fof(f37,conjecture,
! [X3,X4] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X3,X4] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f51,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f52,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,[],[f19]) ).
fof(f54,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f60,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,[],[f27]) ).
fof(f70,plain,
~ ! [X0,X1] :
( unequally_directed_lines(X0,X1)
<=> unequally_directed_opposite_lines(X0,reverse_line(X1)) ),
inference(rectify,[],[f38]) ).
fof(f85,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,[],[f52]) ).
fof(f86,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,[],[f85]) ).
fof(f88,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f97,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,[],[f60]) ).
fof(f98,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,[],[f97]) ).
fof(f110,plain,
? [X0,X1] :
( unequally_directed_lines(X0,X1)
<~> unequally_directed_opposite_lines(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f111,plain,
! [X0,X1] :
( ( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
& ( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f112,plain,
? [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f113,plain,
( ? [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) )
=> ( ( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) )
& ( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) )
& ( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f112,f113]) ).
fof(f115,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f116,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f131,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f132,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,[],[f86]) ).
fof(f135,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f88]) ).
fof(f136,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f88]) ).
fof(f143,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,[],[f98]) ).
fof(f154,plain,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f155,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_49,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_50,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_65,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_66,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,[],[f132]) ).
cnf(c_69,plain,
~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f136]) ).
cnf(c_70,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f135]) ).
cnf(c_78,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,[],[f143]) ).
cnf(c_88,negated_conjecture,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_89,negated_conjecture,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_118,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_70,c_69,c_66]) ).
cnf(c_137,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_50,c_118]) ).
cnf(c_138,plain,
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_137]) ).
cnf(c_139,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_opposite_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_65,c_49]) ).
cnf(c_140,plain,
( unequally_directed_opposite_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_139]) ).
cnf(c_143,plain,
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_144,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_143]) ).
cnf(c_145,plain,
( ~ unequally_directed_lines(sK0,sK1)
| ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
inference(prop_impl_just,[status(thm)],[c_88]) ).
cnf(c_146,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(renaming,[status(thm)],[c_145]) ).
cnf(c_147,plain,
( unequally_directed_lines(sK0,sK1)
| unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
inference(prop_impl_just,[status(thm)],[c_89]) ).
cnf(c_148,plain,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(renaming,[status(thm)],[c_147]) ).
cnf(c_361,plain,
( ~ unequally_directed_lines(sK0,sK1)
| unequally_directed_lines(sK0,reverse_line(sK1)) ),
inference(resolution,[status(thm)],[c_140,c_146]) ).
cnf(c_366,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_361,c_144]) ).
cnf(c_368,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ),
inference(resolution,[status(thm)],[c_138,c_148]) ).
cnf(c_376,plain,
( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ),
inference(prop_impl_just,[status(thm)],[c_118]) ).
cnf(c_377,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_376]) ).
cnf(c_424,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_425,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_424,c_368,c_366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.12/0.35 % Computer : n006.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 29 22:52:21 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17 git: last_make_outside_of_git: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...
% 0.46/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sf_s rm: 16 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.17 ------ Proving...
% 0.46/1.17 ------ Problem Properties
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 clauses 7
% 0.46/1.17 conjectures 0
% 0.46/1.17 EPR 3
% 0.46/1.17 Horn 5
% 0.46/1.17 unary 4
% 0.46/1.17 binary 2
% 0.46/1.17 lits 11
% 0.46/1.17 lits eq 0
% 0.46/1.17 fd_pure 0
% 0.46/1.17 fd_pseudo 0
% 0.46/1.17 fd_cond 0
% 0.46/1.17 fd_pseudo_cond 0
% 0.46/1.17 AC symbols 0
% 0.46/1.17
% 0.46/1.17 ------ Schedule dynamic 5 is on
% 0.46/1.17
% 0.46/1.17 ------ no conjectures: strip conj schedule
% 0.46/1.17
% 0.46/1.17 ------ no equalities: superposition off
% 0.46/1.17
% 0.46/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------
% 0.46/1.17 Current options:
% 0.46/1.17 ------
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Proving...
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.17
% 0.46/1.18
%------------------------------------------------------------------------------