%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV793-1 : 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 : n001.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 03:24:13 PM UTC 2026
% Result : Unsatisfiable 168.33s 26.61s
% Output : CNFRefutation 168.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 18 unt; 0 def)
% Number of atoms : 42 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 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 : 25 ( 25 usr; 12 con; 0-5 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f363,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/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
fof(f403,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,X2)
| c_Set_Oinsert(X0,X1,X2) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f500,axiom,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
fof(f598,axiom,
! [X0] : c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).
fof(f613,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
fof(f625,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/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f683,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f689,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f690,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f689]) ).
fof(f691,negated_conjecture,
v_Nb = v_NB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f692,plain,
v_NB = v_Nb,
inference(reorient_equations,[],[f691]) ).
fof(f693,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f732,plain,
~ c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(definition_unfolding,[],[f683,f692]) ).
fof(f735,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(definition_unfolding,[],[f693,f690,f692,f690,f692]) ).
tcf(c_978,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,[],[f363]) ).
tcf(c_1013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_Set_Oinsert(X0,X1,X2) = X1 )
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f403]) ).
tcf(c_1096,plain,
! [X0: $i,X1: $i] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(cnf_transformation,[],[f500]) ).
tcf(c_1184,plain,
! [X0: $i] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X0),
inference(cnf_transformation,[],[f598]) ).
tcf(c_1198,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_1207,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,[],[f625]) ).
tcf(c_1259,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(cnf_transformation,[],[f732]) ).
tcf(c_1263,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(cnf_transformation,[],[f735]) ).
tcf(c_20671,plain,
( c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(v_Nb),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1198]) ).
tcf(c_20822,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_Nb),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_1207]) ).
tcf(c_83026,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),
inference(superposition,[status(thm)],[c_1263,c_1013]) ).
tcf(c_84964,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),X0,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),X0,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[status(thm)],[c_83026,c_978]) ).
tcf(c_86439,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(v_evs4,tc_Event_Oevent))),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1096,c_84964]) ).
tcf(c_86490,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_1184,c_86439]) ).
tcf(c_111855,plain,
( c_in(c_Message_Omsg_ONonce(v_Nb),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[c_20822]) ).
tcf(c_111856,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_111855,c_86490,c_20671,c_1259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.44 % Computer : n001.cluster.edu
% 0.15/0.44 % Model : x86_64 x86_64
% 0.15/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.44 % Memory : 8046.5625MB
% 0.15/0.44 % OS : Linux 6.8.0-71-generic
% 0.15/0.44 % CPULimit : 300
% 0.15/0.44 % WCLimit : 300
% 0.15/0.44 % DateTime : Thu Sep 24 21:10:54 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.50 Running first-order theorem proving
% 0.15/0.50 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
% 0.25/0.52
% 0.25/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.52
% 0.25/0.52 % Detected problem language: tptp
% 0.25/0.53 % Proving...
% 168.33/26.61 % SZS status Started for theBenchmark.p
% 168.33/26.61 % SZS status Unsatisfiable for theBenchmark.p
% 168.33/26.61
% 168.33/26.61 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 168.33/26.61
% 168.33/26.61 % ------ iProver source info
% 168.33/26.61
% 168.33/26.61 % git: date: 2026-07-19 20:42:38 +0200
% 168.33/26.61 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 168.33/26.61 % git: non_committed_changes: false
% 168.33/26.61
% 168.33/26.61 % ------ Parsing...% successful
% 168.33/26.61
% 168.33/26.61
% 168.33/26.61 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 168.33/26.61
% 168.33/26.61 % ------ Preprocessing... sup_sim: 25 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 168.33/26.61
% 168.33/26.61 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 168.33/26.61
% 168.33/26.61 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 168.33/26.61 % ------ Proving...
% 168.33/26.61 % ------ Problem Properties
% 168.33/26.61
% 168.33/26.61 %
% 168.33/26.61 % clauses 474
% 168.33/26.61 % conjectures 9
% 168.33/26.61 % EPR 26
% 168.33/26.61 % Horn 420
% 168.33/26.61 % unary 182
% 168.33/26.61 % binary 185
% 168.33/26.61 % lits 929
% 168.33/26.61 % lits eq 276
% 168.33/26.61 % fd_pure 0
% 168.33/26.61 % fd_pseudo 0
% 168.33/26.61 % fd_cond 4
% 168.33/26.61 % fd_pseudo_cond 63
% 168.33/26.61 % AC symbols 0
% 168.33/26.61
% 168.33/26.61 % ------ Input Options Time Limit: Unbounded
% 168.33/26.61
% 168.33/26.61
% 168.33/26.61 % ------
% 168.33/26.61 % Current options:
% 168.33/26.61 % ------
% 168.33/26.61
% 168.33/26.61
% 168.33/26.61 %
% 168.33/26.61
% 168.33/26.61 % ------ Proving...
% 168.33/26.61 %
% 168.33/26.61
% 168.33/26.61 % SZS status Unsatisfiable for theBenchmark.p
% 168.33/26.61
% 168.33/26.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 168.33/26.62
% 168.33/26.62
%------------------------------------------------------------------------------