%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV756-1 : 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 : n017.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 03:24:08 PM UTC 2026
% Result : Unsatisfiable 32.92s 5.47s
% Output : CNFRefutation 32.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 38 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f509,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_OkeysFor(X1),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
fof(f529,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/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f617,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f618,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f619,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f627,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f628,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f627]) ).
fof(f630,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f674,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(definition_unfolding,[],[f618,f628]) ).
fof(f675,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(definition_unfolding,[],[f619,f628]) ).
fof(f678,plain,
hBOOL(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_evs2)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f630,f628]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i,X2: $i] :
( hBOOL(c_in(X0,c_Message_OkeysFor(X2),tc_nat))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) ),
inference(cnf_transformation,[],[f509]) ).
tcf(c_1096,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,[],[f529]) ).
tcf(c_1175,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(cnf_transformation,[],[f617]) ).
tcf(c_1176,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(cnf_transformation,[],[f674]) ).
tcf(c_1177,negated_conjecture,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(cnf_transformation,[],[f675]) ).
tcf(c_1182,negated_conjecture,
hBOOL(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_evs2)),tc_Message_Omsg)),
inference(cnf_transformation,[],[f678]) ).
tcf(c_3327,plain,
! [X0: $i,X1: $i] :
( hBOOL(c_in(v_K,c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,X0),X1,tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_1079]) ).
tcf(c_13370,plain,
( hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(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_evs2)),tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[c_3327]) ).
tcf(c_19526,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_1096]) ).
tcf(c_19527,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19526,c_13370,c_1182,c_1176,c_1175,c_1177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.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 20:57:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 32.92/5.47 % SZS status Started for theBenchmark.p
% 32.92/5.47 % SZS status Unsatisfiable for theBenchmark.p
% 32.92/5.47
% 32.92/5.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 32.92/5.47
% 32.92/5.47 % ------ iProver source info
% 32.92/5.47
% 32.92/5.47 % git: date: 2026-07-19 20:42:38 +0200
% 32.92/5.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 32.92/5.47 % git: non_committed_changes: false
% 32.92/5.47
% 32.92/5.47 % ------ Parsing...% successful
% 32.92/5.47
% 32.92/5.47
% 32.92/5.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 32.92/5.47
% 32.92/5.47 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 32.92/5.47
% 32.92/5.47 % ------ Preprocessing...%
% 32.92/5.47
% 32.92/5.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.92/5.47 % ------ Proving...
% 32.92/5.47 % ------ Problem Properties
% 32.92/5.47
% 32.92/5.47 %
% 32.92/5.47 % clauses 505
% 32.92/5.47 % conjectures 58
% 32.92/5.47 % EPR 27
% 32.92/5.47 % Horn 458
% 32.92/5.47 % unary 201
% 32.92/5.47 % binary 189
% 32.92/5.47 % lits 982
% 32.92/5.47 % lits eq 256
% 32.92/5.47 % fd_pure 0
% 32.92/5.47 % fd_pseudo 0
% 32.92/5.47 % fd_cond 5
% 32.92/5.47 % fd_pseudo_cond 56
% 32.92/5.47 % AC symbols 0
% 32.92/5.47
% 32.92/5.47 % ------ Input Options Time Limit: Unbounded
% 32.92/5.47
% 32.92/5.47
% 32.92/5.47 % ------
% 32.92/5.47 % Current options:
% 32.92/5.47 % ------
% 32.92/5.47
% 32.92/5.47
% 32.92/5.47 %
% 32.92/5.47
% 32.92/5.47 % ------ Proving...
% 32.92/5.47 %
% 32.92/5.47
% 32.92/5.47 % SZS status Unsatisfiable for theBenchmark.p
% 32.92/5.47
% 32.92/5.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.92/5.47
% 32.92/5.47
%------------------------------------------------------------------------------