TSTP Solution File: GEO216+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO216+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:17:01 EDT 2024
% Result : Theorem 0.67s 1.12s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 18 ~; 4 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 0 sgn 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f15,axiom,
! [X5,X6] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f18,conjecture,
! [X5] : unorthogonal_lines(X5,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X5] : unorthogonal_lines(X5,X5),
inference(negated_conjecture,[],[f18]) ).
fof(f21,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f24,plain,
~ ! [X0] : unorthogonal_lines(X0,X0),
inference(rectify,[],[f19]) ).
fof(f43,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f48,plain,
? [X0] : ~ unorthogonal_lines(X0,X0),
inference(ennf_transformation,[],[f24]) ).
fof(f49,plain,
( ? [X0] : ~ unorthogonal_lines(X0,X0)
=> ~ unorthogonal_lines(sK0,sK0) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
~ unorthogonal_lines(sK0,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f49]) ).
fof(f53,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
~ unorthogonal_lines(sK0,sK0),
inference(cnf_transformation,[],[f50]) ).
cnf(c_51,plain,
~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f53]) ).
cnf(c_63,plain,
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_69,negated_conjecture,
~ unorthogonal_lines(sK0,sK0),
inference(cnf_transformation,[],[f71]) ).
cnf(c_70,plain,
~ convergent_lines(sK0,sK0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_73,plain,
( convergent_lines(sK0,sK0)
| unorthogonal_lines(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_74,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_73,c_70,c_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO216+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.11 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n002.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 01:30:57 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 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
% 0.67/1.12 % SZS status Started for theBenchmark.p
% 0.67/1.12 % SZS status Theorem for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.67/1.12
% 0.67/1.12 ------ iProver source info
% 0.67/1.12
% 0.67/1.12 git: date: 2024-05-02 19:28:25 +0000
% 0.67/1.12 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.67/1.12 git: non_committed_changes: false
% 0.67/1.12
% 0.67/1.12 ------ Parsing...
% 0.67/1.12 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.67/1.12
% 0.67/1.12 ------ Preprocessing...
% 0.67/1.12
% 0.67/1.12 % SZS status Theorem for theBenchmark.p
% 0.67/1.12
% 0.67/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.67/1.12
% 0.67/1.12
%------------------------------------------------------------------------------