TSTP Solution File: GEO220+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 23:10:26 EDT 2023
% Result : Theorem 1.78s 1.11s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 37 ~; 12 |; 15 &)
% ( 0 <=>; 6 =>; 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 : 37 ( 0 sgn; 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',couo1) ).
fof(f18,conjecture,
! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f17]) ).
fof(f24,plain,
~ ! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f19]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ( convergent_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( convergent_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f49,f50]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f74,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f51]) ).
cnf(c_68,plain,
( ~ convergent_lines(X0,X1)
| unorthogonal_lines(X2,X0)
| unorthogonal_lines(X2,X1) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_69,negated_conjecture,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f74]) ).
cnf(c_70,negated_conjecture,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f73]) ).
cnf(c_71,negated_conjecture,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f72]) ).
cnf(c_256,plain,
( ~ convergent_lines(sK1,sK2)
| unorthogonal_lines(X0,sK1)
| unorthogonal_lines(X0,sK2) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_257,plain,
( ~ convergent_lines(sK1,sK2)
| unorthogonal_lines(sK0,sK1)
| unorthogonal_lines(sK0,sK2) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_258,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_257,c_70,c_71,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO220+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n009.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 29 21:56:05 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.78/1.11 % SZS status Started for theBenchmark.p
% 1.78/1.11 % SZS status Theorem for theBenchmark.p
% 1.78/1.11
% 1.78/1.11 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.78/1.11
% 1.78/1.11 ------ iProver source info
% 1.78/1.11
% 1.78/1.11 git: date: 2023-05-31 18:12:56 +0000
% 1.78/1.11 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.78/1.11 git: non_committed_changes: false
% 1.78/1.11 git: last_make_outside_of_git: false
% 1.78/1.11
% 1.78/1.11 ------ Parsing...
% 1.78/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.78/1.11
% 1.78/1.11 ------ Preprocessing... sf_s rm: 9 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.78/1.11
% 1.78/1.11 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 1.78/1.11 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.78/1.11 ------ Proving...
% 1.78/1.11 ------ Problem Properties
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 clauses 13
% 1.78/1.11 conjectures 3
% 1.78/1.11 EPR 13
% 1.78/1.11 Horn 5
% 1.78/1.11 unary 5
% 1.78/1.11 binary 1
% 1.78/1.11 lits 31
% 1.78/1.11 lits eq 0
% 1.78/1.11 fd_pure 0
% 1.78/1.11 fd_pseudo 0
% 1.78/1.11 fd_cond 0
% 1.78/1.11 fd_pseudo_cond 0
% 1.78/1.11 AC symbols 0
% 1.78/1.11
% 1.78/1.11 ------ Schedule EPR non Horn non eq is on
% 1.78/1.11
% 1.78/1.11 ------ no equalities: superposition off
% 1.78/1.11
% 1.78/1.11 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 ------
% 1.78/1.11 Current options:
% 1.78/1.11 ------
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 ------ Proving...
% 1.78/1.11
% 1.78/1.11
% 1.78/1.11 % SZS status Theorem for theBenchmark.p
% 1.78/1.11
% 1.78/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.78/1.11
% 1.78/1.11
%------------------------------------------------------------------------------