%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET045-5 : 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 : n010.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 1.50s 1.27s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ element(X0,X0)
| ~ element(X0,f(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0,X1] :
( element(X0,f(X1))
| element(X0,X0)
| ~ element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
! [X0] : element(X0,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ element(X0,X0)
| ~ element(X0,f(X1)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( element(X0,X0)
| element(X0,f(X1))
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] : element(X0,a),
inference(cnf_transformation,[],[f4]) ).
tcf(c_75,negated_conjecture,
! [X0: $i] : element(X0,a),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( element(f(X0),f(X1))
| element(f(X0),f(X0))
| ~ element(f(X0),X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_79,plain,
! [X0: $i] : ~ element(f(X0),f(X0)),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_80,plain,
( element(f(a),f(a))
| ~ element(f(a),a) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_81,plain,
~ element(f(a),f(a)),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_90,plain,
! [X0: $i] : element(f(X0),a),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_91,plain,
element(f(a),a),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_92,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_91,c_81,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET045-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n010.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Thu Sep 24 09:25:58 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.50/1.27 % SZS status Started for theBenchmark.p
% 1.50/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.27
% 1.50/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.27
% 1.50/1.27 % ------ iProver source info
% 1.50/1.27
% 1.50/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.27 % git: non_committed_changes: false
% 1.50/1.27
% 1.50/1.27 % ------ Parsing...% successful
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.27
% 1.50/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.50/1.27
% 1.50/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.50/1.27 % ------ Proving...
% 1.50/1.27 % ------ Problem Properties
% 1.50/1.27
% 1.50/1.27 %
% 1.50/1.27 % clauses 4
% 1.50/1.27 % conjectures 1
% 1.50/1.27 % EPR 1
% 1.50/1.27 % Horn 3
% 1.50/1.27 % unary 1
% 1.50/1.27 % binary 2
% 1.50/1.27 % lits 8
% 1.50/1.27 % lits eq 0
% 1.50/1.27 % fd_pure 0
% 1.50/1.27 % fd_pseudo 0
% 1.50/1.27 % fd_cond 0
% 1.50/1.27 % fd_pseudo_cond 0
% 1.50/1.27 % AC symbols 0
% 1.50/1.27
% 1.50/1.27 % ------ Schedule dynamic 5 is on
% 1.50/1.27
% 1.50/1.27 % ------ no equalities: superposition off
% 1.50/1.27
% 1.50/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 % ------
% 1.50/1.27 % Current options:
% 1.50/1.27 % ------
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 %
% 1.50/1.27
% 1.50/1.27 % ------ Proving...
% 1.50/1.27 %
% 1.50/1.27
% 1.50/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.27
% 1.50/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.27
% 1.50/1.27
%------------------------------------------------------------------------------