%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV325-2 : 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 : n013.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 2.31s 6.30s
% Output : CNFRefutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 82 ( 42 unt; 17 def)
% Number of atoms : 285 ( 23 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 122 ( 58 ~; 64 |; 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 : 20 ( 18 usr; 18 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
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_B)))),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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
v_B != v_C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f7,plain,
v_C != v_B,
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( ~ 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_evsf)),tc_Message_Omsg)
| ~ 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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| v_B = v_C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f9,plain,
( ~ 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_evsf)),tc_Message_Omsg)
| ~ 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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| v_C = v_B ),
inference(reorient_equations,[],[f8]) ).
fof(f10,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f11,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f12,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__into__parts__dest_0) ).
fof(f13,axiom,
! [X0,X1] :
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f14,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
tcf(c_61,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,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,[],[f3]) ).
tcf(c_64,negated_conjecture,
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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,negated_conjecture,
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_B)))),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,[],[f5]) ).
tcf(c_66,negated_conjecture,
v_C != v_B,
inference(cnf_transformation,[],[f7]) ).
tcf(c_67,negated_conjecture,
( ( v_C = v_B )
| ~ 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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ 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_evsf)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_68,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,[],[f10]) ).
tcf(c_69,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,[],[f11]) ).
tcf(c_70,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,[],[f12]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_72,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,[],[f14]) ).
tcf(c_78,plain,
( ~ 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_evsf)),tc_Message_Omsg)
| ~ 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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_66,c_67]) ).
tcf(c_79,negated_conjecture,
( ~ 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_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ 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_evsf)),tc_Message_Omsg) ),
inference(renaming,[status(thm)],[c_78]) ).
tcf(c_170,definition,
iPr_def_10 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_171,definition,
iPr_def_11 = c_Message_Omsg_OAgent(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_172,definition,
iPr_def_12 = c_Message_Omsg_OAgent(v_C),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_173,definition,
iPr_def_13 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_174,definition,
iPr_def_14 = c_Message_Omsg_OMPair(v_NA,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_175,definition,
iPr_def_15 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_176,definition,
iPr_def_16 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_177,definition,
iPr_def_17 = c_Message_Oparts(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_178,definition,
iPr_def_18 = c_Message_Omsg_OAgent(v_B),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_179,definition,
iPr_def_19 = c_Message_Omsg_OMPair(iPr_def_11,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_180,definition,
iPr_def_20 = c_Message_Omsg_OMPair(v_NA,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_181,definition,
iPr_def_21 = c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_182,definition,
iPr_def_22 = c_insert(v_X,iPr_def_16,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_183,definition,
iPr_def_23 = c_Message_Oparts(iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_184,definition,
iPr_def_24 = c_Message_Oanalz(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_185,definition,
iPr_def_25 = c_Message_Osynth(iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_186,definition,
iPr_def_26 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_187,negated_conjecture,
( ~ c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_79,c_178,c_179,c_180,c_181,c_176,c_177,c_172,c_171,c_173,c_174,c_170,c_175]) ).
tcf(c_189,negated_conjecture,
c_in(iPr_def_21,iPr_def_23,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_65,c_182,c_183]) ).
tcf(c_190,negated_conjecture,
c_in(iPr_def_15,iPr_def_23,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_191,negated_conjecture,
c_in(v_X,iPr_def_25,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_63,c_184,c_185]) ).
tcf(c_192,negated_conjecture,
c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_26),
inference(demodulation,[status(thm)],[c_62,c_186]) ).
tcf(c_193,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_548,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_16),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_24,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_184,c_70]) ).
tcf(c_549,plain,
! [X0: $i] :
( c_in(X0,iPr_def_17,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_24,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_548,c_177]) ).
tcf(c_570,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_20),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_21,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_181,c_68]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_24,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),iPr_def_25,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_185,c_68]) ).
tcf(c_572,plain,
! [X0: $i] :
( c_in(iPr_def_21,X0,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_21,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_570,c_181]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,iPr_def_26)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_71,c_186]) ).
tcf(c_597,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_26)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_176,c_586]) ).
tcf(c_598,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,iPr_def_26)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_597,c_177]) ).
tcf(c_599,plain,
! [X0: $i] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_17,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_598,c_192]) ).
tcf(c_613,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_16)),c_Message_Oparts(iPr_def_16),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_22),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_16)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_182,c_69]) ).
tcf(c_614,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_25,iPr_def_17,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_25,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_23,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_613,c_177,c_183,c_184,c_185]) ).
tcf(c_615,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_25,iPr_def_17,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_23,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_614,c_191]) ).
tcf(c_623,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_170,c_599]) ).
tcf(c_624,plain,
~ c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_623,c_193]) ).
tcf(c_629,plain,
! [X0: $i] :
( c_in(X0,iPr_def_25,tc_Message_Omsg)
| c_in(X0,iPr_def_17,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_23,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_615,c_72]) ).
tcf(c_640,plain,
( c_in(iPr_def_21,iPr_def_25,tc_Message_Omsg)
| c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_189,c_629]) ).
tcf(c_641,plain,
( c_in(iPr_def_15,iPr_def_25,tc_Message_Omsg)
| c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_190,c_629]) ).
tcf(c_666,plain,
( c_in(iPr_def_21,iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_24,tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_25,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_185,c_572]) ).
tcf(c_676,plain,
( c_in(iPr_def_21,iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_25,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_666,c_549]) ).
tcf(c_677,plain,
( c_in(iPr_def_21,iPr_def_24,tc_Message_Omsg)
| ~ c_in(iPr_def_21,iPr_def_25,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_676,c_624]) ).
tcf(c_686,plain,
( c_in(iPr_def_21,iPr_def_24,tc_Message_Omsg)
| c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_640,c_677]) ).
tcf(c_691,plain,
c_in(iPr_def_21,iPr_def_17,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_686,c_549]) ).
tcf(c_692,plain,
~ c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_187,c_691]) ).
tcf(c_693,plain,
c_in(iPr_def_15,iPr_def_25,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_641,c_692]) ).
tcf(c_700,plain,
( c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(iPr_def_10,iPr_def_14),iPr_def_24,tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_25,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_175,c_571]) ).
tcf(c_703,plain,
( c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_24,tc_Message_Omsg)
| ~ c_in(iPr_def_15,iPr_def_25,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_700,c_175]) ).
tcf(c_707,plain,
( c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_24,tc_Message_Omsg) ),
inference(global_subsumption_just,[status(thm)],[c_703,c_693,c_703]) ).
tcf(c_713,plain,
( c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_707,c_549]) ).
tcf(c_714,plain,
c_in(iPr_def_15,iPr_def_24,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_713,c_624]) ).
tcf(c_722,plain,
c_in(iPr_def_15,iPr_def_17,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_714,c_549]) ).
tcf(c_723,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_722,c_692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV325-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n013.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Thu Sep 24 19:13:11 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.42 Running first-order theorem proving
% 0.16/5.42 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 2.31/6.30 % SZS status Started for theBenchmark.p
% 2.31/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/6.30
% 2.31/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.31/6.30
% 2.31/6.30 % ------ iProver source info
% 2.31/6.30
% 2.31/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.31/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.31/6.30 % git: non_committed_changes: false
% 2.31/6.30
% 2.31/6.30 % ------ Parsing...% successful
% 2.31/6.30
% 2.31/6.30
% 2.31/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.31/6.30
% 2.31/6.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.31/6.30
% 2.31/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.31/6.30
% 2.31/6.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.31/6.30 % ------ Proving...
% 2.31/6.30 % ------ Problem Properties
% 2.31/6.30
% 2.31/6.30 %
% 2.31/6.30 % clauses 29
% 2.31/6.30 % conjectures 7
% 2.31/6.30 % EPR 7
% 2.31/6.30 % Horn 27
% 2.31/6.30 % unary 23
% 2.31/6.30 % binary 2
% 2.31/6.30 % lits 39
% 2.31/6.30 % lits eq 18
% 2.31/6.31 % fd_pure 0
% 2.31/6.31 % fd_pseudo 0
% 2.31/6.31 % fd_cond 0
% 2.31/6.31 % fd_pseudo_cond 0
% 2.31/6.31 % AC symbols 0
% 2.31/6.31
% 2.31/6.31 % ------ Schedule dynamic 5 is on
% 2.31/6.31
% 2.31/6.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.31/6.31
% 2.31/6.31
% 2.31/6.31 % ------
% 2.31/6.31 % Current options:
% 2.31/6.31 % ------
% 2.31/6.31
% 2.31/6.31
% 2.31/6.31 %
% 2.31/6.31
% 2.31/6.31 % ------ Proving...
% 2.31/6.31 %
% 2.31/6.31
% 2.31/6.31 % SZS status Unsatisfiable for theBenchmark.p
% 2.31/6.31
% 2.31/6.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.31/6.31
% 2.31/6.31
%------------------------------------------------------------------------------