%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET043-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:46:14 PM UTC 2026
% Result : Unsatisfiable 1.45s 1.32s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 4 ( 0 sgn 4 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( ~ element(X0,X0)
| ~ element(X0,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( element(X0,a)
| element(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( ~ element(X0,a)
| ~ element(X0,X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( element(X0,a)
| element(X0,X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_53,plain,
element(a,a),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_54,plain,
~ element(a,a),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_55,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_54,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET043-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.43 % Computer : n001.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Thu Sep 24 09:30:07 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.49 Running EPR theorem proving
% 0.16/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50
% 0.22/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.50
% 0.22/0.50 % Detected problem language: tptp
% 0.22/0.52 % Proving...
% 1.45/1.32 % SZS status Started for theBenchmark.p
% 1.45/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.32
% 1.45/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.45/1.32
% 1.45/1.32 % ------ iProver source info
% 1.45/1.32
% 1.45/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 1.45/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.45/1.32 % git: non_committed_changes: false
% 1.45/1.32
% 1.45/1.32 % ------ Parsing...% successful
% 1.45/1.32
% 1.45/1.32
% 1.45/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.45/1.32 %
% 1.45/1.32
% 1.45/1.32 % ------ Preprocessing...%
% 1.45/1.32
% 1.45/1.32 % SZS status Unsatisfiable for theBenchmark.p
% 1.45/1.32
% 1.45/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.45/1.32
% 1.45/1.32
%------------------------------------------------------------------------------