TSTP Solution File: SET043+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET043+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:59:30 EDT 2024
% Result : Theorem 0.42s 1.11s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 19 ~; 12 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ element(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel39) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ element(X1,X1) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ element(X1,X1) ),
inference(flattening,[],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1] :
( ( element(X1,X0)
| element(X1,X1) )
& ( ~ element(X1,X1)
| ~ element(X1,X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f5,plain,
( ? [X0] :
! [X1] :
( ( element(X1,X0)
| element(X1,X1) )
& ( ~ element(X1,X1)
| ~ element(X1,X0) ) )
=> ! [X1] :
( ( element(X1,sK0)
| element(X1,X1) )
& ( ~ element(X1,X1)
| ~ element(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X1] :
( ( element(X1,sK0)
| element(X1,X1) )
& ( ~ element(X1,X1)
| ~ element(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f7,plain,
! [X1] :
( ~ element(X1,X1)
| ~ element(X1,sK0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X1] :
( element(X1,sK0)
| element(X1,X1) ),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,negated_conjecture,
( element(X0,X0)
| element(X0,sK0) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_50,negated_conjecture,
( ~ element(X0,X0)
| ~ element(X0,sK0) ),
inference(cnf_transformation,[],[f7]) ).
cnf(c_51,plain,
element(sK0,sK0),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_52,plain,
~ element(sK0,sK0),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_53,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_52,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET043+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 20:35:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.42/1.11 % SZS status Started for theBenchmark.p
% 0.42/1.11 % SZS status Theorem for theBenchmark.p
% 0.42/1.11
% 0.42/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.42/1.11
% 0.42/1.11 ------ iProver source info
% 0.42/1.11
% 0.42/1.11 git: date: 2024-05-02 19:28:25 +0000
% 0.42/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.42/1.11 git: non_committed_changes: false
% 0.42/1.11
% 0.42/1.11 ------ Parsing...
% 0.42/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Option_epr_non_horn_non_eq
% 0.42/1.11
% 0.42/1.11
% 0.42/1.11 ------ Preprocessing...
% 0.42/1.11
% 0.42/1.11 % SZS status Theorem for theBenchmark.p
% 0.42/1.11
% 0.42/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.42/1.11
% 0.42/1.11
%------------------------------------------------------------------------------