%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV321-2 : 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 03:17:17 PM UTC 2026
% Result : Unsatisfiable 1.74s 1.28s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 18 unt; 8 def)
% Number of atoms : 180 ( 8 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 91 ( 44 ~; 47 |; 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 : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?; 31 :)
% 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_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| 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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f4,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_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_5) ).
fof(f5,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(f6,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f7,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(f8,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f9,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f10,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) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
tcf(c_60,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_61,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_evsf)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_62,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_64,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,[],[f5]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_66,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,[],[f7]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_69,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,[],[f10]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_insert(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_175,definition,
iPr_def_10 = c_Public_OshrK(v_A),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_176,definition,
iPr_def_11 = c_Message_Omsg_OKey(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_177,definition,
iPr_def_12 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_178,definition,
iPr_def_13 = c_insert(v_X,iPr_def_12,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_179,definition,
iPr_def_14 = c_Message_Oparts(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_180,definition,
iPr_def_15 = c_Message_Oparts(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_181,definition,
iPr_def_16 = c_Message_Oanalz(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_182,definition,
iPr_def_17 = c_Message_Osynth(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_183,negated_conjecture,
( c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(demodulation,[status(thm)],[c_63,c_177,c_178,c_179,c_175,c_176]) ).
tcf(c_184,negated_conjecture,
( ~ c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_185,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg) ),
inference(demodulation,[status(thm)],[c_61,c_180]) ).
tcf(c_186,negated_conjecture,
c_in(v_X,iPr_def_17,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_60,c_181,c_182]) ).
tcf(c_661,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_179,c_67]) ).
tcf(c_681,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_181,c_66]) ).
tcf(c_682,plain,
! [X0: $i] :
( c_in(X0,iPr_def_15,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_16,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_681,c_180]) ).
tcf(c_694,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(iPr_def_10),X0,tc_Message_Omsg)
| ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_176,c_65]) ).
tcf(c_698,plain,
! [X0: $i] :
( c_in(iPr_def_11,X0,tc_Message_Omsg)
| ~ c_in(iPr_def_11,c_Message_Osynth(X0),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_694,c_176]) ).
tcf(c_707,plain,
( c_in(iPr_def_11,iPr_def_16,tc_Message_Omsg)
| ~ c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_182,c_698]) ).
tcf(c_724,plain,
! [X0: $i] :
( c_in(X0,iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_12,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_178,c_70]) ).
tcf(c_737,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_12,tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_177,c_68]) ).
tcf(c_750,plain,
! [X0: $i] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),iPr_def_13,tc_Message_Omsg)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_737,c_724]) ).
tcf(c_779,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_13),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_12)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_178,c_64]) ).
tcf(c_780,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_17,iPr_def_15,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_17,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_779,c_179,c_180,c_181,c_182]) ).
tcf(c_781,plain,
! [X0: $i] :
( c_in(X0,c_union(iPr_def_17,iPr_def_15,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[status(thm)],[c_780,c_186]) ).
tcf(c_804,plain,
( c_in(c_Message_Omsg_OKey(iPr_def_10),iPr_def_13,tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(superposition,[status(thm)],[c_175,c_750]) ).
tcf(c_806,plain,
( c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg)
| ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(light_normalisation,[status(thm)],[c_804,c_176]) ).
tcf(c_816,plain,
( c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg)
| c_in(iPr_def_11,iPr_def_13,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_183,c_806]) ).
tcf(c_821,plain,
c_in(iPr_def_11,iPr_def_14,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_816,c_661]) ).
tcf(c_822,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(backward_subsumption_resolution,[status(thm)],[c_184,c_821]) ).
tcf(c_823,plain,
~ c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_185,c_822]) ).
tcf(c_828,plain,
! [X0: $i] :
( c_in(X0,iPr_def_17,tc_Message_Omsg)
| c_in(X0,iPr_def_15,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_14,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_781,c_69]) ).
tcf(c_839,plain,
( c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg)
| c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_821,c_828]) ).
tcf(c_840,plain,
c_in(iPr_def_11,iPr_def_17,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_839,c_823]) ).
tcf(c_841,plain,
c_in(iPr_def_11,iPr_def_16,tc_Message_Omsg),
inference(backward_subsumption_resolution,[status(thm)],[c_707,c_840]) ).
tcf(c_842,plain,
c_in(iPr_def_11,iPr_def_15,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_841,c_682]) ).
tcf(c_843,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_842,c_823]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV321-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 19:12:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.74/1.28 % SZS status Started for theBenchmark.p
% 1.74/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.28
% 1.74/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.74/1.28
% 1.74/1.28 % ------ iProver source info
% 1.74/1.28
% 1.74/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.74/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.74/1.28 % git: non_committed_changes: false
% 1.74/1.28
% 1.74/1.28 % ------ Parsing...% successful
% 1.74/1.28
% 1.74/1.28
% 1.74/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.74/1.28
% 1.74/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.74/1.28
% 1.74/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.74/1.28
% 1.74/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.74/1.28 % ------ Proving...
% 1.74/1.28 % ------ Problem Properties
% 1.74/1.28
% 1.74/1.28 %
% 1.74/1.28 % clauses 19
% 1.74/1.28 % conjectures 4
% 1.74/1.28 % EPR 4
% 1.74/1.28 % Horn 17
% 1.74/1.28 % unary 9
% 1.74/1.28 % binary 8
% 1.74/1.28 % lits 31
% 1.74/1.28 % lits eq 8
% 1.74/1.29 % fd_pure 0
% 1.74/1.29 % fd_pseudo 0
% 1.74/1.29 % fd_cond 0
% 1.74/1.29 % fd_pseudo_cond 0
% 1.74/1.29 % AC symbols 0
% 1.74/1.29
% 1.74/1.29 % ------ Schedule dynamic 5 is on
% 1.74/1.29
% 1.74/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.74/1.29
% 1.74/1.29
% 1.74/1.29 % ------
% 1.74/1.29 % Current options:
% 1.74/1.29 % ------
% 1.74/1.29
% 1.74/1.29
% 1.74/1.29 %
% 1.74/1.29
% 1.74/1.29 % ------ Proving...
% 1.74/1.29 %
% 1.74/1.29
% 1.74/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.74/1.29
% 1.74/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.74/1.29
% 1.74/1.29
%------------------------------------------------------------------------------