%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 26.70s 9.51s
% Output : CNFRefutation 26.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f588,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/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f636,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f684,axiom,
! [X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).
fof(f704,negated_conjecture,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f705,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_681,negated_conjecture,
c_in(hAPP(v_mgt__call,v_pn),v_G,t_a),
inference(cnf_transformation,[],[f704]) ).
tcf(c_682,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
inference(cnf_transformation,[],[f705]) ).
tcf(c_931,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,[],[f588]) ).
tcf(c_956,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[],[f636]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] :
( hBOOL(hAPP(hAPP(v_P,X1),X0))
| ~ c_lessequals(X0,X1,tc_fun(t_a,tc_bool)) ),
inference(cnf_transformation,[],[f684]) ).
tcf(c_14111,plain,
! [X0: $i] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),X0,tc_fun(t_a,tc_bool)),
inference(instantiation,[status(thm)],[c_956]) ).
tcf(c_15879,plain,
( hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
| ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool)) ),
inference(instantiation,[status(thm)],[c_995]) ).
tcf(c_16288,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),X0,t_a),v_G,tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
| ~ c_lessequals(X0,v_G,tc_fun(t_a,tc_bool)) ),
inference(instantiation,[status(thm)],[c_931]) ).
tcf(c_20528,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)),
inference(instantiation,[status(thm)],[c_14111]) ).
tcf(c_20529,plain,
( c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),v_G,tc_fun(t_a,tc_bool))
| ~ c_in(hAPP(v_mgt__call,v_pn),v_G,t_a)
| ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_G,tc_fun(t_a,tc_bool)) ),
inference(instantiation,[status(thm)],[c_16288]) ).
tcf(c_20530,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20529,c_20528,c_15879,c_682,c_681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV882-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/5.45 % Computer : n008.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Thu Sep 24 21:14:32 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.18/5.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/5.51 Running first-order theorem proving
% 0.22/5.51 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
% 0.22/5.52
% 0.22/5.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/5.52
% 0.22/5.52 % Detected problem language: tptp
% 0.22/5.54 % Proving...
% 26.70/9.51 % SZS status Started for theBenchmark.p
% 26.70/9.51 % SZS status Unsatisfiable for theBenchmark.p
% 26.70/9.51
% 26.70/9.51 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.70/9.51
% 26.70/9.51 % ------ iProver source info
% 26.70/9.51
% 26.70/9.51 % git: date: 2026-07-19 20:42:38 +0200
% 26.70/9.51 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.70/9.51 % git: non_committed_changes: false
% 26.70/9.51
% 26.70/9.51 % ------ Parsing...% successful
% 26.70/9.51
% 26.70/9.51
% 26.70/9.51 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.70/9.51
% 26.70/9.51 % ------ Preprocessing... sup_sim: 12 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 26.70/9.51
% 26.70/9.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.70/9.51
% 26.70/9.51 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 26.70/9.51 % ------ Proving...
% 26.70/9.51 % ------ Problem Properties
% 26.70/9.51
% 26.70/9.51 %
% 26.70/9.51 % clauses 234
% 26.70/9.51 % conjectures 7
% 26.70/9.51 % EPR 9
% 26.70/9.51 % Horn 190
% 26.70/9.51 % unary 69
% 26.70/9.51 % binary 96
% 26.70/9.51 % lits 477
% 26.70/9.51 % lits eq 126
% 26.70/9.51 % fd_pure 0
% 26.70/9.51 % fd_pseudo 0
% 26.70/9.51 % fd_cond 10
% 26.70/9.51 % fd_pseudo_cond 24
% 26.70/9.51 % AC symbols 0
% 26.70/9.51
% 26.70/9.51 % ------ Schedule dynamic 5 is on
% 26.70/9.51
% 26.70/9.51 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.70/9.51
% 26.70/9.51
% 26.70/9.51 % ------
% 26.70/9.51 % Current options:
% 26.70/9.51 % ------
% 26.70/9.51
% 26.70/9.51
% 26.70/9.51 %
% 26.70/9.51
% 26.70/9.51 % ------ Proving...
% 26.70/9.51 %
% 26.70/9.51
% 26.70/9.51 % SZS status Unsatisfiable for theBenchmark.p
% 26.70/9.51
% 26.70/9.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.70/9.51
% 26.70/9.51
%------------------------------------------------------------------------------