%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:24:24 PM UTC 2026
% Result : Unsatisfiable 17.86s 8.79s
% Output : CNFRefutation 17.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1183,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f1261,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).
fof(f1264,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1267,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1269,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_2022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X3,X0,X2),X1,tc_fun(X2,tc_bool))
| ~ c_in(X3,X1,X2)
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f1183]) ).
tcf(c_2088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( c_in(hAPP(X3,X0),c_Set_Oimage(X3,X1,X2,X4),X4)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f1261]) ).
tcf(c_2091,negated_conjecture,
c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnf_transformation,[],[f1264]) ).
tcf(c_2094,negated_conjecture,
c_in(v_pn,v_U,tc_Com_Opname),
inference(cnf_transformation,[],[f1267]) ).
tcf(c_2096,negated_conjecture,
~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
inference(cnf_transformation,[],[f1269]) ).
tcf(c_25002,plain,
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)
| ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)) ),
inference(instantiation,[status(thm)],[c_2022]) ).
tcf(c_25609,plain,
( c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a)
| ~ c_in(v_pn,v_U,tc_Com_Opname) ),
inference(instantiation,[status(thm)],[c_2088]) ).
tcf(c_25610,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25609,c_25002,c_2096,c_2091,c_2094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n009.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 21:13:35 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.44 % Detected problem language: tptp
% 0.14/5.45 % Proving...
% 17.86/8.79 % SZS status Started for theBenchmark.p
% 17.86/8.79 % SZS status Unsatisfiable for theBenchmark.p
% 17.86/8.79
% 17.86/8.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.86/8.79
% 17.86/8.79 % ------ iProver source info
% 17.86/8.79
% 17.86/8.79 % git: date: 2026-07-19 20:42:38 +0200
% 17.86/8.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.86/8.79 % git: non_committed_changes: false
% 17.86/8.79
% 17.86/8.79 % ------ Parsing...% successful
% 17.86/8.79
% 17.86/8.79
% 17.86/8.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.86/8.79
% 17.86/8.79 % ------ Preprocessing... sup_sim: 59 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:32:0s pe_e sup_sim: 10 sf_s rm: 32 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 32 0s sf_e pe_s pe_e %
% 17.86/8.79
% 17.86/8.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.86/8.79
% 17.86/8.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e
% 17.86/8.79 % ------ Proving...
% 17.86/8.79 % ------ Problem Properties
% 17.86/8.79
% 17.86/8.79 %
% 17.86/8.79 % clauses 616
% 17.86/8.79 % conjectures 7
% 17.86/8.79 % EPR 49
% 17.86/8.79 % Horn 530
% 17.86/8.79 % unary 175
% 17.86/8.79 % binary 233
% 17.86/8.79 % lits 1310
% 17.86/8.79 % lits eq 346
% 17.86/8.79 % fd_pure 0
% 17.86/8.79 % fd_pseudo 0
% 17.86/8.79 % fd_cond 26
% 17.86/8.79 % fd_pseudo_cond 47
% 17.86/8.79 % AC symbols 0
% 17.86/8.79
% 17.86/8.79 % ------ Input Options Time Limit: Unbounded
% 17.86/8.79
% 17.86/8.79
% 17.86/8.79 % ------
% 17.86/8.79 % Current options:
% 17.86/8.79 % ------
% 17.86/8.79
% 17.86/8.79
% 17.86/8.79 %
% 17.86/8.79
% 17.86/8.79 % ------ Proving...
% 17.86/8.79 %
% 17.86/8.79
% 17.86/8.79 % SZS status Unsatisfiable for theBenchmark.p
% 17.86/8.79
% 17.86/8.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.86/8.79
% 17.86/8.79
%------------------------------------------------------------------------------