%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV329-2 : TPTP v9.3.1. Released v3.2.0.
% 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 03:17:19 PM UTC 2026
% Result : Unsatisfiable 1.66s 6.29s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 58 ( 32 unt; 12 def)
% Number of atoms : 183 ( 12 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 84 ( 41 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 15 ( 13 usr; 13 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f4,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f5,negated_conjecture,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f6,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth__eq_0) ).
fof(f7,axiom,
! [X2,X0,X1] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f8,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f10,axiom,
! [X0,X1] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSpy__analz__shrK_0) ).
tcf(c_59,negated_conjecture,
c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_60,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(cnf_transformation,[],[f2]) ).
tcf(c_61,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f3]) ).
tcf(c_62,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f4]) ).
tcf(c_63,negated_conjecture,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(cnf_transformation,[],[f5]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| c_in(X0,X1,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_112,definition,
iPr_def_10 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_113,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_114,definition,
iPr_def_12 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_115,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_116,definition,
iPr_def_14 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_117,definition,
iPr_def_15 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_118,definition,
iPr_def_16 = c_Message_Oparts(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_119,definition,
iPr_def_17 = c_insert(v_X,iPr_def_15,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_120,definition,
iPr_def_18 = c_Message_Oparts(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_121,definition,
iPr_def_19 = c_Message_Oanalz(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_122,definition,
iPr_def_20 = c_Message_Osynth(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_123,definition,
iPr_def_21 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_124,negated_conjecture,
~ c_in(iPr_def_14,iPr_def_16,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_63,c_117,c_118,c_114,c_113,c_115,c_112,c_116]) ).
tcf(c_125,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_126,negated_conjecture,
c_in(iPr_def_14,iPr_def_18,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_61,c_119,c_120]) ).
tcf(c_127,negated_conjecture,
c_in(v_X,iPr_def_20,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_60,c_121,c_122]) ).
tcf(c_128,negated_conjecture,
c_in(v_evsf,c_Yahalom_Oyahalom,iPr_def_21),
inference(demodulation,[status(thm)],[c_59,c_123]) ).
tcf(c_447,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_15),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_19,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_121,c_66]) ).
tcf(c_448,plain,
! [X0: $i] :
( c_in(X0,iPr_def_16,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_19,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_447,c_118]) ).
tcf(c_468,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_13),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_14,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_116,c_64]) ).
tcf(c_470,plain,
! [X0: $i] :
( c_in(iPr_def_14,X0,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_14,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_468,c_116]) ).
tcf(c_485,plain,
( c_in(iPr_def_14,iPr_def_19,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_19,tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_20,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_122,c_470]) ).
tcf(c_519,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_15)),c_Message_Oparts(iPr_def_15),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_17),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_15)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_520,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_20,iPr_def_16,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_20,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_519,c_118,c_120,c_121,c_122]) ).
tcf(c_521,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_20,iPr_def_16,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_520,c_127]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Yahalom_Oyahalom,iPr_def_21)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_68,c_123]) ).
tcf(c_536,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_Yahalom_Oyahalom,iPr_def_21)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(iPr_def_15),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_117,c_525]) ).
tcf(c_537,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_Yahalom_Oyahalom,iPr_def_21)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_19,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_536,c_121]) ).
tcf(c_538,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_19,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_537,c_128]) ).
tcf(c_550,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_19,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_112,c_538]) ).
tcf(c_551,plain,
~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_19,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_550,c_125]) ).
tcf(c_552,plain,
( c_in(iPr_def_14,iPr_def_19,tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_20,tc_Message_Omsg) ),
inference(backward_subsumption_resolution,[status(thm)],[c_485,c_551]) ).
tcf(c_563,plain,
! [X0: $i] :
( c_in(X0,iPr_def_20,tc_Message_Omsg)
| c_in(X0,iPr_def_16,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_18,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_521,c_67]) ).
tcf(c_574,plain,
( c_in(iPr_def_14,iPr_def_20,tc_Message_Omsg)
| c_in(iPr_def_14,iPr_def_16,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_126,c_563]) ).
tcf(c_575,plain,
c_in(iPr_def_14,iPr_def_20,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_574,c_124]) ).
tcf(c_576,plain,
c_in(iPr_def_14,iPr_def_19,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_552,c_575]) ).
tcf(c_577,plain,
c_in(iPr_def_14,iPr_def_16,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_576,c_448]) ).
tcf(c_578,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_577,c_124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV329-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n017.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 19:09:54 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.66/6.29 % SZS status Started for theBenchmark.p
% 1.66/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/6.29
% 1.66/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/6.29
% 1.66/6.29 % ------ iProver source info
% 1.66/6.29
% 1.66/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.66/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/6.29 % git: non_committed_changes: false
% 1.66/6.29
% 1.66/6.29 % ------ Parsing...% successful
% 1.66/6.29
% 1.66/6.29
% 1.66/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.66/6.29
% 1.66/6.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.66/6.29
% 1.66/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.66/6.29
% 1.66/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.66/6.29 % ------ Proving...
% 1.66/6.29 % ------ Problem Properties
% 1.66/6.29
% 1.66/6.29 %
% 1.66/6.29 % clauses 22
% 1.66/6.29 % conjectures 5
% 1.66/6.29 % EPR 5
% 1.66/6.29 % Horn 20
% 1.66/6.29 % unary 17
% 1.66/6.29 % binary 1
% 1.66/6.29 % lits 31
% 1.66/6.29 % lits eq 12
% 1.66/6.29 % fd_pure 0
% 1.66/6.29 % fd_pseudo 0
% 1.66/6.29 % fd_cond 0
% 1.66/6.29 % fd_pseudo_cond 0
% 1.66/6.29 % AC symbols 0
% 1.66/6.29
% 1.66/6.29 % ------ Schedule dynamic 5 is on
% 1.66/6.29
% 1.66/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.66/6.29
% 1.66/6.29
% 1.66/6.29 % ------
% 1.66/6.29 % Current options:
% 1.66/6.29 % ------
% 1.66/6.29
% 1.66/6.29
% 1.66/6.29 %
% 1.66/6.29
% 1.66/6.29 % ------ Proving...
% 1.66/6.29 %
% 1.66/6.29
% 1.66/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.66/6.29
% 1.66/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/6.29
% 1.66/6.29
%------------------------------------------------------------------------------