TSTP Solution File: GEO219+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO219+1 : 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 23:10:25 EDT 2023
% Result : Theorem 1.85s 1.25s
% Output : CNFRefutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% Number of atoms : 108 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 135 ( 63 ~; 44 |; 21 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 65 ( 0 sgn; 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
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(f15,axiom,
! [X5,X6] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f16,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(f18,conjecture,
! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f21,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f22,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,[],[f16]) ).
fof(f24,plain,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ unorthogonal_lines(X1,X2) ),
inference(rectify,[],[f19]) ).
fof(f29,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f43,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f44,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,[],[f22]) ).
fof(f45,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,[],[f44]) ).
fof(f48,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ( unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f49,f50]) ).
fof(f57,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f72,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f74,plain,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f51]) ).
cnf(c_54,plain,
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_63,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_66,plain,
( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1)
| convergent_lines(X2,X1)
| unorthogonal_lines(X2,X0) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_69,negated_conjecture,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f74]) ).
cnf(c_70,negated_conjecture,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f73]) ).
cnf(c_71,negated_conjecture,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f72]) ).
cnf(c_250,plain,
( convergent_lines(sK0,sK1)
| unorthogonal_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_256,plain,
( ~ convergent_lines(sK0,sK1)
| convergent_lines(sK1,X0)
| convergent_lines(sK0,X0) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_264,plain,
( ~ convergent_lines(sK1,X0)
| ~ unorthogonal_lines(sK1,X0)
| convergent_lines(X1,X0)
| unorthogonal_lines(X1,sK1) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_304,plain,
( ~ convergent_lines(sK1,sK2)
| ~ unorthogonal_lines(sK1,sK2)
| convergent_lines(X0,sK2)
| unorthogonal_lines(X0,sK1) ),
inference(instantiation,[status(thm)],[c_264]) ).
cnf(c_305,plain,
( ~ convergent_lines(sK1,sK2)
| ~ unorthogonal_lines(sK1,sK2)
| convergent_lines(sK0,sK2)
| unorthogonal_lines(sK0,sK1) ),
inference(instantiation,[status(thm)],[c_304]) ).
cnf(c_329,plain,
( ~ convergent_lines(sK0,sK1)
| convergent_lines(sK1,sK2)
| convergent_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_330,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_329,c_305,c_250,c_70,c_71,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 23:04:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.85/1.25 % SZS status Started for theBenchmark.p
% 1.85/1.25 % SZS status Theorem for theBenchmark.p
% 1.85/1.25
% 1.85/1.25 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.85/1.25
% 1.85/1.25 ------ iProver source info
% 1.85/1.25
% 1.85/1.25 git: date: 2023-05-31 18:12:56 +0000
% 1.85/1.25 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.85/1.25 git: non_committed_changes: false
% 1.85/1.25 git: last_make_outside_of_git: false
% 1.85/1.25
% 1.85/1.25 ------ Parsing...
% 1.85/1.25 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.85/1.25
% 1.85/1.25 ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.85/1.25
% 1.85/1.25 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 1.85/1.25 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.85/1.25 ------ Proving...
% 1.85/1.25 ------ Problem Properties
% 1.85/1.25
% 1.85/1.25
% 1.85/1.25 clauses 13
% 1.85/1.25 conjectures 3
% 1.85/1.25 EPR 13
% 1.85/1.25 Horn 5
% 1.85/1.25 unary 5
% 1.85/1.25 binary 1
% 1.85/1.25 lits 31
% 1.85/1.25 lits eq 0
% 1.85/1.25 fd_pure 0
% 1.85/1.25 fd_pseudo 0
% 1.85/1.25 fd_cond 0
% 1.85/1.25 fd_pseudo_cond 0
% 1.85/1.25 AC symbols 0
% 1.85/1.25
% 1.85/1.25 ------ Schedule EPR non Horn non eq is on
% 1.85/1.25
% 1.85/1.25 ------ no equalities: superposition off
% 1.85/1.25
% 1.85/1.25 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.85/1.25
% 1.85/1.25
% 1.85/1.25 ------
% 1.85/1.25 Current options:
% 1.85/1.25 ------
% 1.85/1.25
% 1.85/1.25
% 1.85/1.25
% 1.85/1.25
% 1.85/1.25 ------ Proving...
% 1.85/1.25
% 1.85/1.25
% 1.85/1.25 % SZS status Theorem for theBenchmark.p
% 1.85/1.25
% 1.85/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.85/1.25
% 1.85/1.25
%------------------------------------------------------------------------------