%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 02:48:39 PM UTC 2026
% Result : Unsatisfiable 3.27s 1.18s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f225,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).
fof(f1434,negated_conjecture,
! [X0] : c_in(v_x(X0),X0,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_1408,negated_conjecture,
! [X0: $i] : c_in(v_x(X0),X0,tc_IntDef_Oint),
inference(cnf_transformation,[],[f1434]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i] : ~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[],[f225]) ).
tcf(c_4623,plain,
$false,
inference(superposition,[status(thm)],[c_1408,c_1440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 12:02:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.27/1.18 % SZS status Started for theBenchmark.p
% 3.27/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.18
% 3.27/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.27/1.18
% 3.27/1.18 % ------ iProver source info
% 3.27/1.18
% 3.27/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.27/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.27/1.18 % git: non_committed_changes: false
% 3.27/1.18
% 3.27/1.18 % ------ Parsing...% successful
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.27/1.18
% 3.27/1.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 0 sf_s rm: 26 0s sf_e pe_s pe_e %
% 3.27/1.18
% 3.27/1.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.27/1.18
% 3.27/1.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.27/1.18 % ------ Proving...
% 3.27/1.18 % ------ Problem Properties
% 3.27/1.18
% 3.27/1.18 %
% 3.27/1.18 % clauses 29
% 3.27/1.18 % conjectures 2
% 3.27/1.18 % EPR 9
% 3.27/1.18 % Horn 26
% 3.27/1.18 % unary 15
% 3.27/1.18 % binary 10
% 3.27/1.18 % lits 47
% 3.27/1.18 % lits eq 10
% 3.27/1.18 % fd_pure 0
% 3.27/1.18 % fd_pseudo 0
% 3.27/1.18 % fd_cond 2
% 3.27/1.18 % fd_pseudo_cond 5
% 3.27/1.18 % AC symbols 0
% 3.27/1.18
% 3.27/1.18 % ------ Schedule dynamic 5 is on
% 3.27/1.18
% 3.27/1.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 % ------
% 3.27/1.18 % Current options:
% 3.27/1.18 % ------
% 3.27/1.18
% 3.27/1.18
% 3.27/1.18 %
% 3.27/1.18
% 3.27/1.18 % ------ Proving...
% 3.27/1.18 %
% 3.27/1.18
% 3.27/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 3.27/1.18
% 3.27/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.27/1.18
% 3.27/1.18
%------------------------------------------------------------------------------