%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV801-1 : 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 : n026.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 03:24:14 PM UTC 2026
% Result : Unsatisfiable 7.61s 1.60s
% Output : CNFRefutation 7.61s
% 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 : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f272,axiom,
! [X0] :
( ~ 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(f446,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
| 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(f506,axiom,
! [X0,X1] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ 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(f616,negated_conjecture,
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_2) ).
fof(f617,negated_conjecture,
~ 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_3) ).
fof(f618,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f625,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f626,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f625]) ).
fof(f628,negated_conjecture,
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_12) ).
fof(f665,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(definition_unfolding,[],[f617,f626]) ).
fof(f666,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(definition_unfolding,[],[f618,f626]) ).
fof(f669,plain,
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,f626]) ).
tcf(c_858,plain,
! [X0: $i] :
( ( c_Message_OinvKey(X0) = X0 )
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_1001,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f446]) ).
tcf(c_1057,plain,
! [X0: $i,X1: $i] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_1154,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f616]) ).
tcf(c_1155,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(cnf_transformation,[],[f665]) ).
tcf(c_1156,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[],[f666]) ).
tcf(c_1160,negated_conjecture,
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,[],[f669]) ).
tcf(c_6284,plain,
c_Message_OinvKey(v_K) = v_K,
inference(superposition,[status(thm)],[c_1156,c_858]) ).
tcf(c_7007,plain,
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_1160,c_1001]) ).
tcf(c_7009,plain,
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_7007,c_6284]) ).
tcf(c_7229,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ 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_1057]) ).
tcf(c_7231,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7229,c_7009,c_1155,c_1154,c_1156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV801-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 21:08:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 7.61/1.60 % SZS status Started for theBenchmark.p
% 7.61/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 7.61/1.60
% 7.61/1.60 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.61/1.60
% 7.61/1.60 % ------ iProver source info
% 7.61/1.60
% 7.61/1.60 % git: date: 2026-07-19 20:42:38 +0200
% 7.61/1.60 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.61/1.60 % git: non_committed_changes: false
% 7.61/1.60
% 7.61/1.60 % ------ Parsing...% successful
% 7.61/1.60
% 7.61/1.60
% 7.61/1.60 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.61/1.60
% 7.61/1.60 % ------ Preprocessing... sup_sim: 0 pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 pe_s pe_e %
% 7.61/1.60
% 7.61/1.60 % ------ Preprocessing... gs_s sp: 0 0s gs_e scvd_s sp: 32 0s scvd_e snvd_s sp: 0 0s snvd_e %
% 7.61/1.60
% 7.61/1.60 % ------ Preprocessing...
% 7.61/1.60 % ------ Proving...
% 7.61/1.60 % ------ Problem Properties
% 7.61/1.60
% 7.61/1.60 %
% 7.61/1.60 % clauses 525
% 7.61/1.60 % conjectures 11
% 7.61/1.60 % EPR 26
% 7.61/1.60 % Horn 453
% 7.61/1.60 % unary 175
% 7.61/1.60 % binary 228
% 7.61/1.60 % lits 1074
% 7.61/1.60 % lits eq 246
% 7.61/1.60 % fd_pure 0
% 7.61/1.60 % fd_pseudo 0
% 7.61/1.60 % fd_cond 5
% 7.61/1.60 % fd_pseudo_cond 51
% 7.61/1.60 % AC symbols 0
% 7.61/1.60
% 7.61/1.60 % ------ Input Options Time Limit: Unbounded
% 7.61/1.60
% 7.61/1.60
% 7.61/1.60 % ------
% 7.61/1.60 % Current options:
% 7.61/1.60 % ------
% 7.61/1.60
% 7.61/1.60
% 7.61/1.60 %
% 7.61/1.60
% 7.61/1.60 % ------ Proving...
% 7.61/1.60 %
% 7.61/1.60
% 7.61/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 7.61/1.60
% 7.61/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.61/1.60
% 7.61/1.60
%------------------------------------------------------------------------------