TSTP Solution File: GEO214+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO214+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.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 23:10:22 EDT 2023
% Result : Theorem 1.79s 1.18s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 31 ~; 38 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn; 41 !; 4 ?)
% 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',apart6) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oac1) ).
fof(f21,conjecture,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
=> unorthogonal_lines(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f22,negated_conjecture,
~ ! [X5,X6] :
( unorthogonal_lines(X5,X6)
=> unorthogonal_lines(X6,X5) ),
inference(negated_conjecture,[],[f21]) ).
fof(f24,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f29,plain,
~ ! [X0,X1] :
( unorthogonal_lines(X0,X1)
=> unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f34,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f49,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,[],[f25]) ).
fof(f50,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,[],[f49]) ).
fof(f53,plain,
? [X0,X1] :
( ~ unorthogonal_lines(X1,X0)
& unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f54,plain,
( ? [X0,X1] :
( ~ unorthogonal_lines(X1,X0)
& unorthogonal_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK0)
& unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ~ unorthogonal_lines(sK1,sK0)
& unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f53,f54]) ).
fof(f58,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f61,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f73,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f76,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f81,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f82,plain,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f55]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f58]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_66,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_68,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_74,negated_conjecture,
~ unorthogonal_lines(sK1,sK0),
inference(cnf_transformation,[],[f82]) ).
cnf(c_75,negated_conjecture,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
cnf(c_76,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_356,plain,
( convergent_lines(sK1,sK0)
| unorthogonal_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_361,plain,
( ~ convergent_lines(X0,sK1)
| ~ unorthogonal_lines(X0,sK1)
| convergent_lines(X0,sK0)
| unorthogonal_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_362,plain,
( ~ convergent_lines(sK0,sK1)
| ~ unorthogonal_lines(sK0,sK1)
| convergent_lines(sK0,sK0)
| unorthogonal_lines(sK1,sK0) ),
inference(instantiation,[status(thm)],[c_361]) ).
cnf(c_371,plain,
( ~ convergent_lines(sK1,sK0)
| convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_437,plain,
( ~ convergent_lines(sK1,sK0)
| convergent_lines(sK1,sK1)
| convergent_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_371]) ).
cnf(c_438,plain,
~ convergent_lines(sK1,sK1),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_439,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_438,c_437,c_362,c_356,c_76,c_74,c_75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO214+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n025.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 19:42:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.79/1.18 % SZS status Started for theBenchmark.p
% 1.79/1.18 % SZS status Theorem for theBenchmark.p
% 1.79/1.18
% 1.79/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.79/1.18
% 1.79/1.18 ------ iProver source info
% 1.79/1.18
% 1.79/1.18 git: date: 2023-05-31 18:12:56 +0000
% 1.79/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.79/1.18 git: non_committed_changes: false
% 1.79/1.18 git: last_make_outside_of_git: false
% 1.79/1.18
% 1.79/1.18 ------ Parsing...
% 1.79/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.79/1.18
% 1.79/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.79/1.18
% 1.79/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.79/1.18 ------ Proving...
% 1.79/1.18 ------ Problem Properties
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18 clauses 26
% 1.79/1.18 conjectures 2
% 1.79/1.18 EPR 18
% 1.79/1.18 Horn 14
% 1.79/1.18 unary 9
% 1.79/1.18 binary 2
% 1.79/1.18 lits 67
% 1.79/1.18 lits eq 0
% 1.79/1.18 fd_pure 0
% 1.79/1.18 fd_pseudo 0
% 1.79/1.18 fd_cond 0
% 1.79/1.18 fd_pseudo_cond 0
% 1.79/1.18 AC symbols 0
% 1.79/1.18
% 1.79/1.18 ------ Schedule dynamic 5 is on
% 1.79/1.18
% 1.79/1.18 ------ no equalities: superposition off
% 1.79/1.18
% 1.79/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18 ------
% 1.79/1.18 Current options:
% 1.79/1.18 ------
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18 ------ Proving...
% 1.79/1.18
% 1.79/1.18
% 1.79/1.18 % SZS status Theorem for theBenchmark.p
% 1.79/1.18
% 1.79/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.18
% 1.79/1.18
%------------------------------------------------------------------------------