%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV326-2 : 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 : n004.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 03:17:18 PM UTC 2026
% Result : Unsatisfiable 1.80s 1.26s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 60 ( 29 unt; 14 def)
% Number of atoms : 181 ( 32 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 61 ( 30 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 17 ( 15 usr; 15 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( c_in(X0,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/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f4,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f5,negated_conjecture,
( v_C = v_Ba
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_21) ).
fof(f6,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f7,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| v_Ba != v_C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_32) ).
fof(f8,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| v_C != v_Ba ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f10,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
( v_C = v_Ba
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(definition_unfolding,[],[f5,f6,f6]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X0,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,[],[f2]) ).
tcf(c_59,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,[],[f3]) ).
tcf(c_60,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ( v_C = v_Ba ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_62,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ( v_C != v_Ba ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_63,negated_conjecture,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(cnf_transformation,[],[f10]) ).
tcf(c_91,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_60,c_63]) ).
tcf(c_106,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ( v_C != v_Ba ) ),
inference(light_normalisation,[status(thm)],[c_62,c_63]) ).
tcf(c_125,definition,
iPr_def_10 = c_Public_OshrK(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_126,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_Aa),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_127,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_128,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_129,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_130,definition,
iPr_def_15 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_131,definition,
iPr_def_16 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_132,definition,
iPr_def_17 = c_Message_Oparts(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_133,definition,
iPr_def_18 = c_Event_Oused(v_evs1),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_134,definition,
iPr_def_19 = c_Message_Omsg_OAgent(v_C),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_135,definition,
iPr_def_20 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_136,definition,
iPr_def_21 = c_Message_Omsg_OMPair(v_NA,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_137,definition,
iPr_def_22 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_138,definition,
iPr_def_23 = c_Message_Omsg_ONonce(v_NAa),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_139,plain,
( c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg)
| ( v_C != v_Ba ) ),
inference(demodulation,[status(thm)],[c_106,c_131,c_132,c_127,c_126,c_128,c_129,c_125,c_130]) ).
tcf(c_140,plain,
~ c_in(v_NA,iPr_def_18,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_91,c_133]) ).
tcf(c_141,negated_conjecture,
( c_in(iPr_def_22,iPr_def_17,tc_Message_Omsg)
| ( v_C = v_Ba ) ),
inference(demodulation,[status(thm)],[c_61,c_134,c_135,c_136,c_137]) ).
tcf(c_142,negated_conjecture,
iPr_def_23 = v_NA,
inference(demodulation,[status(thm)],[c_63,c_138]) ).
tcf(c_385,plain,
~ c_in(iPr_def_23,iPr_def_18,tc_Message_Omsg),
inference(light_normalisation,[status(thm)],[c_140,c_142]) ).
tcf(c_390,plain,
c_Message_Omsg_OMPair(iPr_def_23,iPr_def_13) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_129,c_142]) ).
tcf(c_391,plain,
c_Message_Omsg_OMPair(iPr_def_23,iPr_def_20) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_136,c_142]) ).
tcf(c_396,plain,
! [X0: $i] :
( c_in(X0,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_131,c_57]) ).
tcf(c_397,plain,
! [X0: $i] :
( c_in(X0,iPr_def_18,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_396,c_132,c_133]) ).
tcf(c_418,plain,
! [X0: $i] :
( c_in(iPr_def_23,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_14,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_390,c_58]) ).
tcf(c_419,plain,
! [X0: $i] :
( c_in(iPr_def_23,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_21,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_391,c_58]) ).
tcf(c_441,plain,
( c_in(iPr_def_23,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_132,c_418]) ).
tcf(c_442,plain,
( c_in(iPr_def_23,iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_14,iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_441,c_132]) ).
tcf(c_449,plain,
( c_in(iPr_def_23,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_132,c_419]) ).
tcf(c_450,plain,
( c_in(iPr_def_23,iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_449,c_132]) ).
tcf(c_469,plain,
! [X0: $i] :
( c_in(iPr_def_14,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_15,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_130,c_59]) ).
tcf(c_470,plain,
! [X0: $i] :
( c_in(iPr_def_21,c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_22,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_137,c_59]) ).
tcf(c_514,plain,
( c_in(iPr_def_14,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_132,c_469]) ).
tcf(c_515,plain,
( c_in(iPr_def_14,iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_514,c_132]) ).
tcf(c_526,plain,
( c_in(iPr_def_21,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_132,c_470]) ).
tcf(c_527,plain,
( c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_22,iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_526,c_132]) ).
tcf(c_534,plain,
( c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg)
| ( v_C = v_Ba ) ),
inference(superposition,[status(thm)],[c_141,c_527]) ).
tcf(c_542,plain,
( c_in(iPr_def_23,iPr_def_17,tc_Message_Omsg)
| ( v_C = v_Ba ) ),
inference(superposition,[status(thm)],[c_534,c_450]) ).
tcf(c_551,plain,
c_in(iPr_def_23,iPr_def_17,tc_Message_Omsg),
inference(global_subsumption_just,[status(thm)],[c_542,c_139,c_442,c_515,c_542]) ).
tcf(c_553,plain,
c_in(iPr_def_23,iPr_def_18,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_551,c_397]) ).
tcf(c_554,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_553,c_385]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV326-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n004.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 19:14:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 0.12/0.39
% 0.12/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.39
% 0.12/0.39 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.80/1.26 % SZS status Started for theBenchmark.p
% 1.80/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.26
% 1.80/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.80/1.26
% 1.80/1.26 % ------ iProver source info
% 1.80/1.26
% 1.80/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.80/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.80/1.26 % git: non_committed_changes: false
% 1.80/1.26
% 1.80/1.26 % ------ Parsing...% successful
% 1.80/1.26
% 1.80/1.26
% 1.80/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.80/1.26
% 1.80/1.26 % ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.80/1.26
% 1.80/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.80/1.26
% 1.80/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.80/1.26 % ------ Proving...
% 1.80/1.26 % ------ Problem Properties
% 1.80/1.26
% 1.80/1.26 %
% 1.80/1.26 % clauses 21
% 1.80/1.26 % conjectures 2
% 1.80/1.26 % EPR 4
% 1.80/1.26 % Horn 20
% 1.80/1.26 % unary 16
% 1.80/1.26 % binary 5
% 1.80/1.26 % lits 26
% 1.80/1.26 % lits eq 17
% 1.80/1.26 % fd_pure 0
% 1.80/1.26 % fd_pseudo 0
% 1.80/1.26 % fd_cond 0
% 1.80/1.26 % fd_pseudo_cond 0
% 1.80/1.26 % AC symbols 0
% 1.80/1.26
% 1.80/1.26 % ------ Schedule dynamic 5 is on
% 1.80/1.26
% 1.80/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.80/1.26
% 1.80/1.26
% 1.80/1.26 % ------
% 1.80/1.26 % Current options:
% 1.80/1.26 % ------
% 1.80/1.26
% 1.80/1.26
% 1.80/1.26 %
% 1.80/1.26
% 1.80/1.26 % ------ Proving...
% 1.80/1.26 %
% 1.80/1.26
% 1.80/1.26 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.26
% 1.80/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.80/1.26
% 1.80/1.26
%------------------------------------------------------------------------------