%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV335-2 : 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 : n006.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 03:17:20 PM UTC 2026
% Result : Unsatisfiable 1.69s 1.29s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 25 unt; 8 def)
% Number of atoms : 168 ( 8 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 73 ( 35 ~; 38 |; 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 : 11 ( 9 usr; 9 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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_1) ).
fof(f2,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),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(f3,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),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(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_evsf)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f5,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(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_1) ).
fof(f6,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(f7,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_ONonce__synth_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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
tcf(c_58,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,[],[f1]) ).
tcf(c_59,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),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_61,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_evsf)),tc_Message_Omsg),
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X1,c_Message_Osynth(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,[],[f5]) ).
tcf(c_63,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,[],[f6]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f7]) ).
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,[],[f8]) ).
tcf(c_66,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_106,definition,
iPr_def_10 = c_Message_Omsg_ONonce(v_NB),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_107,definition,
iPr_def_11 = c_Message_Omsg_OCrypt(v_K,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_108,definition,
iPr_def_12 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_109,definition,
iPr_def_13 = c_Message_Oparts(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_110,definition,
iPr_def_14 = c_insert(v_X,iPr_def_12,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_111,definition,
iPr_def_15 = c_Message_Oparts(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_112,definition,
iPr_def_16 = c_Message_Oanalz(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_113,definition,
iPr_def_17 = c_Message_Osynth(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_114,negated_conjecture,
~ c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_61,c_108,c_109,c_106,c_107]) ).
tcf(c_115,negated_conjecture,
c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_60,c_110,c_111]) ).
tcf(c_116,negated_conjecture,
~ c_in(iPr_def_10,iPr_def_16,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_59,c_112]) ).
tcf(c_117,negated_conjecture,
c_in(v_X,iPr_def_17,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_58,c_113]) ).
tcf(c_368,plain,
! [X0: $i] :
( c_in(X0,c_Message_Oparts(iPr_def_12),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_16,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_112,c_65]) ).
tcf(c_369,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_16,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_368,c_109]) ).
tcf(c_381,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_ONonce(v_NB),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_10,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_106,c_64]) ).
tcf(c_385,plain,
! [X0: $i] :
( c_in(iPr_def_10,X0,tc_Message_Omsg)
| ~ c_in(iPr_def_10,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_381,c_106]) ).
tcf(c_394,plain,
( c_in(iPr_def_10,iPr_def_16,tc_Message_Omsg)
| ~ c_in(iPr_def_10,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_113,c_385]) ).
tcf(c_395,plain,
~ c_in(iPr_def_10,iPr_def_17,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_394,c_116]) ).
tcf(c_413,plain,
! [X0: $i] :
( c_in(iPr_def_10,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(v_K,iPr_def_10),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_107,c_62]) ).
tcf(c_415,plain,
! [X0: $i] :
( c_in(iPr_def_11,X0,tc_Message_Omsg)
| c_in(iPr_def_10,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_413,c_107]) ).
tcf(c_431,plain,
( c_in(iPr_def_11,iPr_def_16,tc_Message_Omsg)
| c_in(iPr_def_10,c_Message_Osynth(iPr_def_16),tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_113,c_415]) ).
tcf(c_432,plain,
( c_in(iPr_def_11,iPr_def_16,tc_Message_Omsg)
| c_in(iPr_def_10,iPr_def_17,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_431,c_113]) ).
tcf(c_433,plain,
( c_in(iPr_def_11,iPr_def_16,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_432,c_395]) ).
tcf(c_455,plain,
! [X0: $i] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),c_Message_Oparts(iPr_def_12),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_14),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_110,c_63]) ).
tcf(c_456,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_17,iPr_def_13,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_17,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_15,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_455,c_109,c_111,c_112,c_113]) ).
tcf(c_457,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_17,iPr_def_13,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_15,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_456,c_117]) ).
tcf(c_465,plain,
! [X0: $i] :
( c_in(X0,iPr_def_17,tc_Message_Omsg)
| c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_15,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_457,c_66]) ).
tcf(c_476,plain,
( c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg)
| c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_115,c_465]) ).
tcf(c_477,plain,
c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_476,c_114]) ).
tcf(c_478,plain,
c_in(iPr_def_11,iPr_def_16,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_433,c_477]) ).
tcf(c_479,plain,
c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_478,c_369]) ).
tcf(c_480,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_479,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV335-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 19:15:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 1.69/1.29 % SZS status Started for theBenchmark.p
% 1.69/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.29
% 1.69/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/1.29
% 1.69/1.29 % ------ iProver source info
% 1.69/1.29
% 1.69/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/1.29 % git: non_committed_changes: false
% 1.69/1.29
% 1.69/1.29 % ------ Parsing...% successful
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.69/1.29
% 1.69/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.69/1.29 % ------ Proving...
% 1.69/1.29 % ------ Problem Properties
% 1.69/1.29
% 1.69/1.29 %
% 1.69/1.29 % clauses 17
% 1.69/1.29 % conjectures 4
% 1.69/1.29 % EPR 4
% 1.69/1.29 % Horn 15
% 1.69/1.29 % unary 12
% 1.69/1.29 % binary 2
% 1.69/1.29 % lits 25
% 1.69/1.29 % lits eq 8
% 1.69/1.29 % fd_pure 0
% 1.69/1.29 % fd_pseudo 0
% 1.69/1.29 % fd_cond 0
% 1.69/1.29 % fd_pseudo_cond 0
% 1.69/1.29 % AC symbols 0
% 1.69/1.29
% 1.69/1.29 % ------ Schedule dynamic 5 is on
% 1.69/1.29
% 1.69/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 % ------
% 1.69/1.29 % Current options:
% 1.69/1.29 % ------
% 1.69/1.29
% 1.69/1.29
% 1.69/1.29 %
% 1.69/1.29
% 1.69/1.29 % ------ Proving...
% 1.69/1.29 %
% 1.69/1.29
% 1.69/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/1.29
% 1.69/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/1.29
% 1.69/1.29
%------------------------------------------------------------------------------