TSTP Solution File: GEO218+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 : Fri May 3 02:17:03 EDT 2024
% Result : Theorem 1.20s 1.10s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 66 ( 16 unt; 0 def)
% Number of atoms : 164 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 175 ( 77 ~; 66 |; 22 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 116 ( 0 sgn 65 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
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',ax6) ).
fof(f24,axiom,
! [X5,X6] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f25,axiom,
! [X5,X6,X7] :
( ( ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) )
& ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cotno1) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f35,axiom,
! [X0,X1] :
( orthogonal_lines(X0,X1)
<=> ~ unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).
fof(f36,conjecture,
! [X5,X6,X7] :
( ( orthogonal_lines(X5,X7)
& parallel_lines(X5,X6) )
=> orthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X5,X6,X7] :
( ( orthogonal_lines(X5,X7)
& parallel_lines(X5,X6) )
=> orthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f36]) ).
fof(f44,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) )
=> ( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f51,plain,
~ ! [X0,X1,X2] :
( ( orthogonal_lines(X0,X2)
& parallel_lines(X0,X1) )
=> orthogonal_lines(X1,X2) ),
inference(rectify,[],[f37]) ).
fof(f52,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
=> ~ convergent_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f57,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f58,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f78,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(flattening,[],[f79]) ).
fof(f91,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f92,plain,
? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X2)
& orthogonal_lines(X0,X2)
& parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f93,plain,
? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X2)
& orthogonal_lines(X0,X2)
& parallel_lines(X0,X1) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1] :
( ( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f95,plain,
( ? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X2)
& orthogonal_lines(X0,X2)
& parallel_lines(X0,X1) )
=> ( ~ orthogonal_lines(sK1,sK2)
& orthogonal_lines(sK0,sK2)
& parallel_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ~ orthogonal_lines(sK1,sK2)
& orthogonal_lines(sK0,sK2)
& parallel_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f93,f95]) ).
fof(f99,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f123,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f133,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f134,plain,
! [X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f135,plain,
! [X0,X1] :
( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f136,plain,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f96]) ).
fof(f137,plain,
orthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f96]) ).
fof(f138,plain,
~ orthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f96]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f99]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_75,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_77,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf_transformation,[],[f126]) ).
cnf(c_79,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_85,plain,
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_86,plain,
( unorthogonal_lines(X0,X1)
| orthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_87,plain,
( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_88,negated_conjecture,
~ orthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f138]) ).
cnf(c_89,negated_conjecture,
orthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f137]) ).
cnf(c_90,negated_conjecture,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f136]) ).
cnf(c_109,plain,
( ~ orthogonal_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
cnf(c_110,plain,
( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_109]) ).
cnf(c_111,plain,
( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
cnf(c_112,plain,
( unorthogonal_lines(X0,X1)
| orthogonal_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_111]) ).
cnf(c_121,plain,
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
cnf(c_125,plain,
( convergent_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_75,c_87]) ).
cnf(c_126,plain,
( ~ orthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(renaming,[status(thm)],[c_125]) ).
cnf(c_200,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X2,X0)
| unorthogonal_lines(X2,X1)
| orthogonal_lines(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_77,c_112]) ).
cnf(c_202,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| orthogonal_lines(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_79,c_112]) ).
cnf(c_400,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[status(thm)],[c_121,c_90]) ).
cnf(c_497,plain,
( ~ convergent_lines(sK1,sK2)
| convergent_lines(X0,sK1)
| convergent_lines(X0,sK2) ),
inference(resolution,[status(thm)],[c_202,c_88]) ).
cnf(c_519,plain,
( ~ convergent_lines(sK1,sK2)
| convergent_lines(X0,sK1)
| unorthogonal_lines(X0,sK2) ),
inference(resolution,[status(thm)],[c_200,c_88]) ).
cnf(c_520,plain,
( ~ convergent_lines(sK1,sK2)
| convergent_lines(sK0,sK1)
| unorthogonal_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_519]) ).
cnf(c_567,plain,
convergent_lines(sK0,sK2),
inference(resolution,[status(thm)],[c_126,c_89]) ).
cnf(c_571,plain,
~ unorthogonal_lines(sK0,sK2),
inference(resolution,[status(thm)],[c_110,c_89]) ).
cnf(c_632,plain,
~ convergent_lines(sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_497,c_400,c_520,c_571]) ).
cnf(c_1418,plain,
( convergent_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(superposition,[status(thm)],[c_567,c_54]) ).
cnf(c_1505,plain,
convergent_lines(sK2,sK1),
inference(superposition,[status(thm)],[c_1418,c_400]) ).
cnf(c_1587,plain,
( convergent_lines(sK1,X0)
| convergent_lines(sK2,X0) ),
inference(superposition,[status(thm)],[c_1505,c_54]) ).
cnf(c_1599,plain,
convergent_lines(sK1,sK2),
inference(superposition,[status(thm)],[c_1587,c_51]) ).
cnf(c_1601,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1599,c_632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : run_iprover %s %d THM
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 01:57:00 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.20/1.10 % SZS status Started for theBenchmark.p
% 1.20/1.10 % SZS status Theorem for theBenchmark.p
% 1.20/1.10
% 1.20/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.20/1.10
% 1.20/1.10 ------ iProver source info
% 1.20/1.10
% 1.20/1.10 git: date: 2024-05-02 19:28:25 +0000
% 1.20/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.20/1.10 git: non_committed_changes: false
% 1.20/1.10
% 1.20/1.10 ------ Parsing...
% 1.20/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.20/1.10
% 1.20/1.10 ------ Preprocessing... sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.20/1.10
% 1.20/1.10 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.20/1.10 ------ Proving...
% 1.20/1.10 ------ Problem Properties
% 1.20/1.10
% 1.20/1.10
% 1.20/1.10 clauses 33
% 1.20/1.10 conjectures 0
% 1.20/1.10 EPR 25
% 1.20/1.10 Horn 17
% 1.20/1.10 unary 12
% 1.20/1.10 binary 6
% 1.20/1.10 lits 80
% 1.20/1.10 lits eq 0
% 1.20/1.10 fd_pure 0
% 1.20/1.10 fd_pseudo 0
% 1.20/1.10 fd_cond 0
% 1.20/1.10 fd_pseudo_cond 0
% 1.20/1.10 AC symbols 0
% 1.20/1.10
% 1.20/1.10 ------ Schedule dynamic 5 is on
% 1.20/1.10
% 1.20/1.10 ------ no conjectures: strip conj schedule
% 1.20/1.10
% 1.20/1.10 ------ no equalities: superposition off
% 1.20/1.10
% 1.20/1.10 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.20/1.10
% 1.20/1.10
% 1.20/1.10 ------
% 1.20/1.10 Current options:
% 1.20/1.10 ------
% 1.20/1.10
% 1.20/1.10
% 1.20/1.10
% 1.20/1.10
% 1.20/1.10 ------ Proving...
% 1.20/1.10
% 1.20/1.10
% 1.20/1.10 % SZS status Theorem for theBenchmark.p
% 1.20/1.10
% 1.20/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.20/1.10
% 1.20/1.10
%------------------------------------------------------------------------------