%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL441-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 02:06:39 PM UTC 2026
% Result : Unsatisfiable 4.23s 6.53s
% Output : CNFRefutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 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 : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL005-0.ax',cls_PropLog_Othms_OH_0) ).
fof(f239,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
fof(f1453,negated_conjecture,
( c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1454,negated_conjecture,
( ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_a,v_tt,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_1426,negated_conjecture,
( c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(cnf_transformation,[],[f1453]) ).
tcf(c_1427,negated_conjecture,
( ~ c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(cnf_transformation,[],[f1454]) ).
tcf(c_1444,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| ~ c_in(X0,X1,tc_PropLog_Opl(X2)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_1460,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f239]) ).
tcf(c_5381,plain,
( c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_1444,c_1426]) ).
tcf(c_5382,plain,
( ~ c_in(v_a,v_tt,t_a)
| ~ c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)) ),
inference(superposition,[status(thm)],[c_1444,c_1427]) ).
tcf(c_5383,plain,
~ c_in(v_a,v_tt,t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_5382,c_1460]) ).
tcf(c_5384,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
inference(forward_subsumption_resolution,[status(thm)],[c_5381,c_5383]) ).
tcf(c_5385,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5384,c_1460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL441-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.60 % Computer : n009.cluster.edu
% 0.12/5.60 % Model : x86_64 x86_64
% 0.12/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.60 % Memory : 8046.5625MB
% 0.12/5.60 % OS : Linux 6.8.0-71-generic
% 0.12/5.60 % CPULimit : 300
% 0.12/5.60 % WCLimit : 300
% 0.12/5.60 % DateTime : Wed Sep 23 23:23:05 UTC 2026
% 0.12/5.60 % CPUTime :
% 0.12/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.64 Running first-order theorem proving
% 0.12/5.64 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.66
% 0.12/5.66 % ======== iProver multi-core TPTP/SMT =========
% 0.12/5.66
% 0.12/5.66 % Detected problem language: tptp
% 0.12/5.67 % Proving...
% 4.23/6.53 % SZS status Started for theBenchmark.p
% 4.23/6.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.23/6.53
% 4.23/6.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.23/6.53
% 4.23/6.53 % ------ iProver source info
% 4.23/6.53
% 4.23/6.53 % git: date: 2026-07-19 20:42:38 +0200
% 4.23/6.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.23/6.53 % git: non_committed_changes: false
% 4.23/6.53
% 4.23/6.53 % ------ Parsing...% successful
% 4.23/6.53
% 4.23/6.53
% 4.23/6.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.23/6.53
% 4.23/6.53 % ------ 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 %
% 4.23/6.53
% 4.23/6.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.23/6.53
% 4.23/6.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.23/6.53 % ------ Proving...
% 4.23/6.53 % ------ Problem Properties
% 4.23/6.53
% 4.23/6.53 %
% 4.23/6.53 % clauses 52
% 4.23/6.53 % conjectures 3
% 4.23/6.53 % EPR 9
% 4.23/6.53 % Horn 48
% 4.23/6.53 % unary 18
% 4.23/6.53 % binary 27
% 4.23/6.53 % lits 93
% 4.23/6.53 % lits eq 24
% 4.23/6.53 % fd_pure 0
% 4.23/6.53 % fd_pseudo 0
% 4.23/6.53 % fd_cond 4
% 4.23/6.53 % fd_pseudo_cond 8
% 4.23/6.53 % AC symbols 0
% 4.23/6.53
% 4.23/6.53 % ------ Schedule dynamic 5 is on
% 4.23/6.53
% 4.23/6.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.23/6.53
% 4.23/6.53
% 4.23/6.53 % ------
% 4.23/6.53 % Current options:
% 4.23/6.53 % ------
% 4.23/6.53
% 4.23/6.53
% 4.23/6.53 %
% 4.23/6.53
% 4.23/6.53 % ------ Proving...
% 4.23/6.53 %
% 4.23/6.53
% 4.23/6.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.23/6.53
% 4.23/6.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.23/6.53
% 4.23/6.53
%------------------------------------------------------------------------------