%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV338-2 : 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 : n002.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 03:17:21 PM UTC 2026
% Result : Unsatisfiable 1.83s 1.28s
% Output : CNFRefutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 47 ( 30 unt; 10 def)
% Number of atoms : 130 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 28 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 13 ( 11 usr; 11 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?; 18 :)
% 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,X3,X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
fof(f3,axiom,
! [X0] :
( c_Message_OinvKey(X0) = X0
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
fof(f4,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f5,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f8,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f9,negated_conjecture,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_58,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_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))),tc_nat) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( c_Message_OinvKey(X0) = X0 )
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : c_union(X0,X0,X1) = X0,
inference(cnf_transformation,[],[f4]) ).
tcf(c_62,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[],[f5]) ).
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,[],[f6]) ).
tcf(c_64,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[],[f8]) ).
tcf(c_66,negated_conjecture,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(global_subsumption_just,[status(thm)],[c_66,c_64,c_66]) ).
tcf(c_128,definition,
iPr_def_10 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_129,definition,
iPr_def_11 = c_Message_Oparts(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_130,definition,
iPr_def_12 = c_Message_OkeysFor(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_131,definition,
iPr_def_13 = c_insert(v_X,iPr_def_10,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_132,definition,
iPr_def_14 = c_Message_Oparts(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_133,definition,
iPr_def_15 = c_Message_OkeysFor(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_134,definition,
iPr_def_16 = c_Message_Omsg_OKey(v_K),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_135,definition,
iPr_def_17 = c_Event_Oused(v_evsf),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_136,definition,
iPr_def_18 = c_Message_Oanalz(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_137,definition,
iPr_def_19 = c_Message_Osynth(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_138,negated_conjecture,
~ c_in(v_K,iPr_def_12,tc_nat),
inference(demodulation,[status(thm)],[c_71,c_128,c_129,c_130]) ).
tcf(c_139,negated_conjecture,
c_in(v_K,iPr_def_15,tc_nat),
inference(demodulation,[status(thm)],[c_65,c_131,c_132,c_133]) ).
tcf(c_140,negated_conjecture,
~ c_in(iPr_def_16,iPr_def_17,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_64,c_135,c_134]) ).
tcf(c_141,negated_conjecture,
c_in(v_X,iPr_def_19,tc_Message_Omsg),
inference(demodulation,[status(thm)],[c_63,c_136,c_137]) ).
tcf(c_142,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_387,plain,
c_Message_OinvKey(v_K) = v_K,
inference(superposition,[status(thm)],[c_142,c_60]) ).
tcf(c_392,plain,
! [X0: $i] :
( c_in(X0,c_Event_Oused(v_evsf),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(iPr_def_10),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_128,c_58]) ).
tcf(c_393,plain,
! [X0: $i] :
( c_in(X0,iPr_def_17,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_11,tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_392,c_129,c_135]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(iPr_def_10,X1,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(iPr_def_13)),tc_nat) ),
inference(superposition,[status(thm)],[c_131,c_59]) ).
tcf(c_410,plain,
! [X0: $i,X1: $i] :
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X1)),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_union(iPr_def_10,X0,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,iPr_def_15,tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg) ),
inference(light_normalisation,[status(thm)],[c_409,c_132,c_133]) ).
tcf(c_424,plain,
! [X0: $i] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(iPr_def_10)),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(iPr_def_10),tc_Message_Omsg)
| ~ c_in(X0,iPr_def_15,tc_nat)
| ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(iPr_def_10)),tc_Message_Omsg) ),
inference(superposition,[status(thm)],[c_61,c_410]) ).
tcf(c_425,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),iPr_def_11,tc_Message_Omsg)
| ~ c_in(v_X,iPr_def_19,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_15,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_424,c_129,c_130,c_136,c_137]) ).
tcf(c_426,plain,
! [X0: $i] :
( c_in(X0,iPr_def_12,tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),iPr_def_11,tc_Message_Omsg)
| ~ c_in(X0,iPr_def_15,tc_nat) ),
inference(forward_subsumption_resolution,[status(thm)],[c_425,c_141]) ).
tcf(c_437,plain,
( c_in(v_K,iPr_def_12,tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),iPr_def_11,tc_Message_Omsg)
| ~ c_in(v_K,iPr_def_15,tc_nat) ),
inference(superposition,[status(thm)],[c_387,c_426]) ).
tcf(c_439,plain,
( c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg)
| c_in(v_K,iPr_def_12,tc_nat)
| ~ c_in(v_K,iPr_def_15,tc_nat) ),
inference(light_normalisation,[status(thm)],[c_437,c_134]) ).
tcf(c_440,plain,
c_in(iPr_def_16,iPr_def_11,tc_Message_Omsg),
inference(forward_subsumption_resolution,[status(thm)],[c_439,c_138,c_139]) ).
tcf(c_445,plain,
c_in(iPr_def_16,iPr_def_17,tc_Message_Omsg),
inference(superposition,[status(thm)],[c_440,c_393]) ).
tcf(c_446,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_445,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n002.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 19:19:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 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...
% 1.83/1.28 % SZS status Started for theBenchmark.p
% 1.83/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.83/1.28
% 1.83/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.83/1.28
% 1.83/1.28 % ------ iProver source info
% 1.83/1.28
% 1.83/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.83/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.83/1.28 % git: non_committed_changes: false
% 1.83/1.28
% 1.83/1.28 % ------ Parsing...% successful
% 1.83/1.28
% 1.83/1.28
% 1.83/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.83/1.28
% 1.83/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.83/1.28
% 1.83/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.83/1.28
% 1.83/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.83/1.28 % ------ Proving...
% 1.83/1.28 % ------ Problem Properties
% 1.83/1.28
% 1.83/1.28 %
% 1.83/1.28 % clauses 19
% 1.83/1.28 % conjectures 5
% 1.83/1.28 % EPR 5
% 1.83/1.28 % Horn 18
% 1.83/1.28 % unary 16
% 1.83/1.28 % binary 2
% 1.83/1.28 % lits 24
% 1.83/1.28 % lits eq 12
% 1.83/1.28 % fd_pure 0
% 1.83/1.28 % fd_pseudo 0
% 1.83/1.28 % fd_cond 0
% 1.83/1.28 % fd_pseudo_cond 0
% 1.83/1.28 % AC symbols 0
% 1.83/1.28
% 1.83/1.28 % ------ Schedule dynamic 5 is on
% 1.83/1.28
% 1.83/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.83/1.28
% 1.83/1.28
% 1.83/1.28 % ------
% 1.83/1.28 % Current options:
% 1.83/1.28 % ------
% 1.83/1.28
% 1.83/1.28
% 1.83/1.28 %
% 1.83/1.28
% 1.83/1.28 % ------ Proving...
% 1.83/1.28 %
% 1.83/1.28
% 1.83/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.83/1.28
% 1.83/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.83/1.28
% 1.83/1.28
%------------------------------------------------------------------------------