%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV319-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 03:17:16 PM UTC 2026
% Result : Unsatisfiable 0.29s 1.08s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 57 ( 29 unt; 12 def)
% Number of atoms : 171 ( 16 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 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; 13 con; 0-3 aty)
% Number of variables : 34 ( 0 sgn 34 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f2,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3,negated_conjecture,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f4,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_Public_OshrK(v_A) = v_K ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f5,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| v_K = c_Public_OshrK(v_A) ),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f8,axiom,
! [X2,X0,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f10,axiom,
! [X2,X0,X1] :
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
tcf(c_58,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_59,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ( c_Public_OshrK(v_A) = v_K ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_65,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,[],[f9]) ).
tcf(c_66,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,[],[f10]) ).
tcf(c_72,negated_conjecture,
c_Public_OshrK(v_A) = v_K,
inference(global_subsumption_just,[status(thm)],[c_61,c_59,c_61]) ).
tcf(c_74,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_60,c_59,c_60]) ).
tcf(c_104,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_74,c_72]) ).
tcf(c_137,definition,
iPr_def_10 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_138,definition,
iPr_def_11 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_139,definition,
iPr_def_12 = c_Message_Oparts(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_141,definition,
iPr_def_14 = c_Message_Omsg_ONonce(v_NA),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_142,definition,
iPr_def_15 = c_Public_OshrK(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_143,definition,
iPr_def_16 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_144,definition,
iPr_def_17 = c_Message_Omsg_OMPair(iPr_def_16,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_145,definition,
iPr_def_18 = c_Message_Omsg_OCrypt(iPr_def_15,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_146,definition,
iPr_def_19 = c_Message_Omsg_OMPair(v_X,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_147,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_14,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_148,definition,
iPr_def_21 = c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_149,definition,
iPr_def_22 = c_List_Oset(v_evso,tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_150,plain,
~ c_in(iPr_def_10,iPr_def_12,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_104,c_138,c_139,c_137]) ).
tcf(c_153,negated_conjecture,
c_in(iPr_def_21,iPr_def_22,tc_Event_Oevent),
inference(demodulation,[status(thm)],[c_58,c_149,c_143,c_144,c_142,c_145,c_146,c_141,c_147,c_148]) ).
tcf(c_465,plain,
! [X0: $i] :
( c_in(iPr_def_10,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_144,c_64]) ).
tcf(c_466,plain,
! [X0: $i] :
( c_in(iPr_def_18,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_19,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_146,c_64]) ).
tcf(c_467,plain,
! [X0: $i] :
( c_in(iPr_def_19,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_20,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_147,c_64]) ).
tcf(c_486,plain,
( c_in(iPr_def_10,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_139,c_465]) ).
tcf(c_487,plain,
( c_in(iPr_def_10,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_486,c_139]) ).
tcf(c_488,plain,
~ c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_487,c_150]) ).
tcf(c_493,plain,
( c_in(iPr_def_18,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_139,c_466]) ).
tcf(c_494,plain,
( c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_493,c_139]) ).
tcf(c_501,plain,
! [X0: $i] :
( c_in(iPr_def_17,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_18,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_145,c_66]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_22,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_149,c_62]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),iPr_def_22,tc_Event_Oevent) ),
inference(light_normalisation,[status(thm)],[c_515,c_138]) ).
tcf(c_531,plain,
( c_in(iPr_def_19,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_139,c_467]) ).
tcf(c_532,plain,
( c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_531,c_139]) ).
tcf(c_550,plain,
( c_in(iPr_def_17,c_Message_Oparts(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_139,c_501]) ).
tcf(c_551,plain,
( c_in(iPr_def_17,iPr_def_12,tc_Message_Omsg)
| ~ c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_550,c_139]) ).
tcf(c_552,plain,
~ c_in(iPr_def_18,iPr_def_12,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_551,c_488]) ).
tcf(c_553,plain,
~ c_in(iPr_def_19,iPr_def_12,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_494,c_552]) ).
tcf(c_554,plain,
~ c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_532,c_553]) ).
tcf(c_564,plain,
( c_in(iPr_def_20,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_22,tc_Event_Oevent) ),
inference(superposition,[status(thm)],[c_148,c_518]) ).
tcf(c_565,plain,
c_in(iPr_def_20,c_Message_Oanalz(iPr_def_11),tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_564,c_153]) ).
tcf(c_566,plain,
c_in(iPr_def_20,c_Message_Oparts(iPr_def_11),tc_Message_Omsg),
inference(superposition,[status(thm)],[c_565,c_65]) ).
tcf(c_568,plain,
c_in(iPr_def_20,iPr_def_12,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_566,c_139]) ).
tcf(c_569,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_568,c_554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV319-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n019.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 19:12:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 0.29/1.08 % SZS status Started for theBenchmark.p
% 0.29/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 0.29/1.08
% 0.29/1.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.29/1.08
% 0.29/1.08 % ------ iProver source info
% 0.29/1.08
% 0.29/1.08 % git: date: 2026-07-19 20:42:38 +0200
% 0.29/1.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.29/1.08 % git: non_committed_changes: false
% 0.29/1.08
% 0.29/1.08 % ------ Parsing...% successful
% 0.29/1.08
% 0.29/1.08
% 0.29/1.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.29/1.08
% 0.29/1.08 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.29/1.08
% 0.29/1.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.29/1.08
% 0.29/1.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.29/1.08 % ------ Proving...
% 0.29/1.08 % ------ Problem Properties
% 0.29/1.08
% 0.29/1.08 %
% 0.29/1.08 % clauses 22
% 0.29/1.08 % conjectures 3
% 0.29/1.08 % EPR 4
% 0.29/1.08 % Horn 22
% 0.29/1.08 % unary 17
% 0.29/1.08 % binary 5
% 0.29/1.08 % lits 27
% 0.29/1.08 % lits eq 14
% 0.29/1.08 % fd_pure 0
% 0.29/1.08 % fd_pseudo 0
% 0.29/1.08 % fd_cond 0
% 0.29/1.08 % fd_pseudo_cond 0
% 0.29/1.08 % AC symbols 0
% 0.29/1.08
% 0.29/1.08 % ------ Schedule dynamic 5 is on
% 0.29/1.08
% 0.29/1.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.29/1.08
% 0.29/1.08
% 0.29/1.08 % ------
% 0.29/1.08 % Current options:
% 0.29/1.08 % ------
% 0.29/1.08
% 0.29/1.08
% 0.29/1.08 %
% 0.29/1.08
% 0.29/1.08 % ------ Proving...
% 0.29/1.08 %
% 0.29/1.08
% 0.29/1.08 % SZS status Unsatisfiable for theBenchmark.p
% 0.29/1.08
% 0.29/1.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.29/1.08
% 0.29/1.08
%------------------------------------------------------------------------------