%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV733-1 : 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 : n012.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 03:24:05 PM UTC 2026
% Result : Unsatisfiable 9.73s 2.04s
% Output : CNFRefutation 9.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn 45 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f294,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f296,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
fof(f305,axiom,
! [X0,X1] :
( ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
fof(f398,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Set_Oinsert(X0,X3,X2),X1,tc_fun(X2,tc_bool))
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f767,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f768,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(X1) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f767]) ).
fof(f783,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f821,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f834,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f835,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f836,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
tcf(c_799,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[],[f834]) ).
tcf(c_800,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f835]) ).
tcf(c_801,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[],[f836]) ).
tcf(c_897,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f783]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i] :
( ( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) )
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f768]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i] :
( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f821]) ).
tcf(c_958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X3,X2)
| ~ c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_lessequals(c_Set_Oinsert(X3,X0,X2),c_Set_Oinsert(X3,X1,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_990,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,[],[f294]) ).
tcf(c_15043,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),
inference(superposition,[status(thm)],[c_800,c_945]) ).
tcf(c_15434,plain,
c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_799,c_897]) ).
tcf(c_15449,plain,
c_Set_Oinsert(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),
inference(superposition,[status(thm)],[c_15434,c_945]) ).
tcf(c_16436,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15043,c_958]) ).
tcf(c_18494,plain,
c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),
inference(superposition,[status(thm)],[c_15434,c_899]) ).
tcf(c_20125,plain,
! [X0: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(X0),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_928,c_16436]) ).
tcf(c_21985,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_18494,c_20125]) ).
tcf(c_21991,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(light_normalisation,[status(thm)],[c_21985,c_18494]) ).
tcf(c_21992,plain,
~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(forward_subsumption_resolution,[status(thm)],[c_21991,c_801]) ).
tcf(c_29444,plain,
! [X0: $i] :
( c_lessequals(c_Set_Oinsert(v_X,X0,tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_15449,c_966]) ).
tcf(c_30898,plain,
~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[status(thm)],[c_29444,c_21992]) ).
tcf(c_30899,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_30898,c_990]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV733-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 21:00:06 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.04/0.33
% 0.04/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.04/0.33
% 0.04/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 9.73/2.04 % SZS status Started for theBenchmark.p
% 9.73/2.04 % SZS status Unsatisfiable for theBenchmark.p
% 9.73/2.04
% 9.73/2.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.73/2.04
% 9.73/2.04 % ------ iProver source info
% 9.73/2.04
% 9.73/2.04 % git: date: 2026-07-19 20:42:38 +0200
% 9.73/2.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.73/2.04 % git: non_committed_changes: false
% 9.73/2.04
% 9.73/2.04 % ------ Parsing...% successful
% 9.73/2.04
% 9.73/2.04
% 9.73/2.04 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.73/2.04
% 9.73/2.04 % ------ Preprocessing... sup_sim: 32 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 %
% 9.73/2.04
% 9.73/2.04 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.73/2.04
% 9.73/2.04 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.73/2.04 % ------ Proving...
% 9.73/2.04 % ------ Problem Properties
% 9.73/2.04
% 9.73/2.04 %
% 9.73/2.04 % clauses 389
% 9.73/2.04 % conjectures 5
% 9.73/2.04 % EPR 3
% 9.73/2.04 % Horn 354
% 9.73/2.04 % unary 165
% 9.73/2.04 % binary 137
% 9.73/2.04 % lits 726
% 9.73/2.04 % lits eq 236
% 9.73/2.04 % fd_pure 0
% 9.73/2.04 % fd_pseudo 0
% 9.73/2.04 % fd_cond 1
% 9.73/2.04 % fd_pseudo_cond 43
% 9.73/2.04 % AC symbols 0
% 9.73/2.04
% 9.73/2.04 % ------ Schedule dynamic 5 is on
% 9.73/2.04
% 9.73/2.04 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.73/2.04
% 9.73/2.04
% 9.73/2.04 % ------
% 9.73/2.04 % Current options:
% 9.73/2.04 % ------
% 9.73/2.04
% 9.73/2.04
% 9.73/2.04 %
% 9.73/2.04
% 9.73/2.04 % ------ Proving...
% 9.73/2.04 %
% 9.73/2.04
% 9.73/2.04 % SZS status Unsatisfiable for theBenchmark.p
% 9.73/2.04
% 9.73/2.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.73/2.04
% 9.73/2.04
%------------------------------------------------------------------------------