%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV331-2 : 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 : 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 03:17:19 PM UTC 2026
% Result : Unsatisfiable 1.59s 1.27s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 20 unt; 7 def)
% Number of atoms : 91 ( 7 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 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 : 10 ( 8 usr; 8 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_evs3,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(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
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_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__imp__keysFor_0) ).
fof(f6,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ 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_Yahalom_Onew__keys__not__used_0) ).
tcf(c_55,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_56,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(cnf_transformation,[],[f2]) ).
tcf(c_57,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[],[f3]) ).
tcf(c_58,negated_conjecture,
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_evs3)),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Yahalom_Oyahalom,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,[],[f6]) ).
tcf(c_85,definition,
iPr_def_10 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_86,definition,
iPr_def_11 = c_Message_Omsg_OCrypt(v_K,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_87,definition,
iPr_def_12 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_88,definition,
iPr_def_13 = c_Message_Oparts(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_89,definition,
iPr_def_14 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_90,definition,
iPr_def_15 = c_Event_Oused(v_evs3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_91,definition,
iPr_def_16 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_92,negated_conjecture,
c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_58,c_87,c_88,c_85,c_86]) ).
tcf(c_93,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_94,negated_conjecture,
~ c_in(iPr_def_14,iPr_def_15,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_56,c_90,c_89]) ).
tcf(c_95,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,iPr_def_16),
inference(demodulation,[status(thm)],[c_55,c_91]) ).
tcf(c_303,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(X0),tc_nat)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(iPr_def_11,X0,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_86,c_59]) ).
tcf(c_304,plain,
! [X0: $i] :
( c_in(v_K,c_Message_OkeysFor(X0),tc_nat)
| ~ c_in(iPr_def_11,X0,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_303,c_93]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,iPr_def_16)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_60,c_91]) ).
tcf(c_321,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(v_evs3),tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,iPr_def_16)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(iPr_def_12)),tc_nat) ),
inference(superposition,[status(thm)],[c_87,c_308]) ).
tcf(c_322,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(X0),iPr_def_15,tc_Message_Omsg)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,iPr_def_16)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(iPr_def_13),tc_nat) ),
inference(light_normalisation,[status(thm)],[c_321,c_88,c_90]) ).
tcf(c_323,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(X0),iPr_def_15,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(iPr_def_13),tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_322,c_95]) ).
tcf(c_345,plain,
( c_in(c_Message_Omsg_OKey(v_K),iPr_def_15,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(superposition,[status(thm)],[c_304,c_323]) ).
tcf(c_346,plain,
( c_in(iPr_def_14,iPr_def_15,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_345,c_89]) ).
tcf(c_347,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_346,c_94,c_92,c_93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV331-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % 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 19:15:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.59/1.27 % SZS status Started for theBenchmark.p
% 1.59/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.27
% 1.59/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.59/1.27
% 1.59/1.27 % ------ iProver source info
% 1.59/1.27
% 1.59/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.59/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.59/1.27 % git: non_committed_changes: false
% 1.59/1.27
% 1.59/1.27 % ------ Parsing...% successful
% 1.59/1.27
% 1.59/1.27
% 1.59/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.59/1.27
% 1.59/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.59/1.27
% 1.59/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.59/1.27
% 1.59/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.59/1.27 % ------ Proving...
% 1.59/1.27 % ------ Problem Properties
% 1.59/1.27
% 1.59/1.27 %
% 1.59/1.27 % clauses 13
% 1.59/1.27 % conjectures 4
% 1.59/1.27 % EPR 4
% 1.59/1.27 % Horn 13
% 1.59/1.27 % unary 11
% 1.59/1.27 % binary 0
% 1.59/1.27 % lits 18
% 1.59/1.27 % lits eq 7
% 1.59/1.27 % fd_pure 0
% 1.59/1.27 % fd_pseudo 0
% 1.59/1.27 % fd_cond 0
% 1.59/1.27 % fd_pseudo_cond 0
% 1.59/1.27 % AC symbols 0
% 1.59/1.27
% 1.59/1.27 % ------ Schedule dynamic 5 is on
% 1.59/1.27
% 1.59/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.59/1.27
% 1.59/1.27
% 1.59/1.27 % ------
% 1.59/1.27 % Current options:
% 1.59/1.27 % ------
% 1.59/1.27
% 1.59/1.27
% 1.59/1.27 %
% 1.59/1.27
% 1.59/1.27 % ------ Proving...
% 1.59/1.27 %
% 1.59/1.27
% 1.59/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/1.27
% 1.59/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.59/1.27
% 1.59/1.27
%------------------------------------------------------------------------------