%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV768-1 : 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 : n011.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 03:24:10 PM UTC 2026
% Result : Unsatisfiable 6.28s 2.29s
% Output : CNFRefutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 37 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f391,axiom,
! [X0] :
( ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f448,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X1),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
fof(f507,axiom,
! [X0,X1] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f613,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f614,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f615,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f622,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f623,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f622]) ).
fof(f628,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f668,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(definition_unfolding,[],[f614,f623]) ).
fof(f669,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(definition_unfolding,[],[f615,f623]) ).
fof(f673,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f628,f623]) ).
tcf(c_951,plain,
! [X0: $i] :
( ( c_Message_OinvKey(X0) = X0 )
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat)) ),
inference(cnf_transformation,[],[f391]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f448]) ).
tcf(c_1059,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)) ),
inference(cnf_transformation,[],[f507]) ).
tcf(c_1152,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[],[f613]) ).
tcf(c_1153,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnf_transformation,[],[f668]) ).
tcf(c_1154,negated_conjecture,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[],[f669]) ).
tcf(c_1158,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(cnf_transformation,[],[f673]) ).
tcf(c_6254,plain,
c_Message_OinvKey(v_K) = v_K,
inference(superposition,[status(thm)],[c_1154,c_951]) ).
tcf(c_6418,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(instantiation,[status(thm)],[c_1059]) ).
tcf(c_8055,plain,
hBOOL(c_in(c_Message_OinvKey(v_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(superposition,[status(thm)],[c_1158,c_1004]) ).
tcf(c_8056,plain,
hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(demodulation,[status(thm)],[c_8055,c_6254]) ).
tcf(c_8093,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8056,c_6418,c_1153,c_1152,c_1154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 21:03:44 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 6.28/2.29 % SZS status Started for theBenchmark.p
% 6.28/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 6.28/2.29
% 6.28/2.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.28/2.29
% 6.28/2.29 % ------ iProver source info
% 6.28/2.29
% 6.28/2.29 % git: date: 2026-07-19 20:42:38 +0200
% 6.28/2.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.28/2.29 % git: non_committed_changes: false
% 6.28/2.29
% 6.28/2.29 % ------ Parsing...% successful
% 6.28/2.29
% 6.28/2.29
% 6.28/2.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.28/2.29
% 6.28/2.29 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e %
% 6.28/2.29
% 6.28/2.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 30 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 6.28/2.29
% 6.28/2.29 % ------ Preprocessing...
% 6.28/2.29 % ------ Proving...
% 6.28/2.29 % ------ Problem Properties
% 6.28/2.29
% 6.28/2.29 %
% 6.28/2.29 % clauses 521
% 6.28/2.29 % conjectures 11
% 6.28/2.29 % EPR 22
% 6.28/2.29 % Horn 454
% 6.28/2.29 % unary 175
% 6.28/2.29 % binary 227
% 6.28/2.29 % lits 1050
% 6.28/2.29 % lits eq 245
% 6.28/2.29 % fd_pure 0
% 6.28/2.29 % fd_pseudo 0
% 6.28/2.29 % fd_cond 5
% 6.28/2.29 % fd_pseudo_cond 51
% 6.28/2.29 % AC symbols 0
% 6.28/2.29
% 6.28/2.29 % ------ Input Options Time Limit: Unbounded
% 6.28/2.29
% 6.28/2.29
% 6.28/2.29 % ------
% 6.28/2.29 % Current options:
% 6.28/2.29 % ------
% 6.28/2.29
% 6.28/2.29
% 6.28/2.29 %
% 6.28/2.29
% 6.28/2.29 % ------ Proving...
% 6.28/2.29 %
% 6.28/2.29
% 6.28/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 6.28/2.29
% 6.28/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.28/2.30
% 6.28/2.30
%------------------------------------------------------------------------------