%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 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 : Thu Sep 24 02:59:57 PM UTC 2026
% Result : Unsatisfiable 6.88s 6.47s
% Output : CNFRefutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 22 unt; 0 nHn; 28 RR)
% Number of literals : 45 ( 10 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 14 con; 0-5 aty)
% Number of variables : 36 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_subset__iff_0,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_parts_OBody_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_conjecture_11,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
cnf(cls_conjecture_9,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_conjecture_10,negated_conjecture,
v_Nb = v_NB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_7,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_8,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_parts__spies__takeWhile__mono_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_usedI_0,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_spies__evs__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).
cnf(c_0_11,plain,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_subset__iff_0]) ).
cnf(c_0_12,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_parts_OBody_0]) ).
cnf(c_0_13,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
cls_conjecture_11 ).
cnf(c_0_14,negated_conjecture,
v_K = v_Ka,
cls_conjecture_9 ).
cnf(c_0_15,negated_conjecture,
v_Nb = v_NB,
cls_conjecture_10 ).
cnf(c_0_16,negated_conjecture,
v_B = v_Ba,
cls_conjecture_7 ).
cnf(c_0_17,negated_conjecture,
v_A = v_Aa,
cls_conjecture_8 ).
cnf(c_0_18,plain,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
c_0_11 ).
cnf(c_0_19,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__spies__takeWhile__mono_0 ).
cnf(c_0_20,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_12 ).
cnf(c_0_21,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,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_14]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_23,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_usedI_0]) ).
cnf(c_0_24,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X3,X2,tc_Event_Oevent))),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_Nb),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
cls_spies__evs__rev_0 ).
cnf(c_0_27,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
c_0_22 ).
cnf(c_0_28,plain,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
c_0_23 ).
cnf(c_0_29,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_Nb),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(rw,[status(thm)],[c_0_27,c_0_15]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.45 % Computer : n004.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Mon Sep 21 09:25:41 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/5.52 Running first-order theorem proving
% 0.22/5.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.88/6.47 % Version: 3.5.1
% 6.88/6.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.88/6.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.88/6.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.88/6.47 % Starting new_bool_3 with 300s (1) cores
% 6.88/6.47 % Starting new_bool_1 with 300s (1) cores
% 6.88/6.47 % Starting sh5l with 300s (1) cores
% 6.88/6.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2806611 completed with status 0
% 6.88/6.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.88/6.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.88/6.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.88/6.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.88/6.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.88/6.47 % No SInE strategy applied
% 6.88/6.47 % Search class: FGHSM-FSLM32-DFFFFFNN
% 6.88/6.47 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.88/6.47 % Starting SubtermCWHack with 136s (1) cores
% 6.88/6.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.88/6.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 6.88/6.47 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 6.88/6.47 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 6.88/6.47 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2806616 completed with status 0
% 6.88/6.47 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.88/6.47 % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.88/6.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.88/6.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.88/6.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.88/6.47 % No SInE strategy applied
% 6.88/6.47 % Search class: FGHSM-FSLM32-DFFFFFNN
% 6.88/6.47 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 6.88/6.47 % Starting SubtermCWHack with 136s (1) cores
% 6.88/6.47 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 6.88/6.47 % Preprocessing time : 0.014 s
% 6.88/6.47 % Presaturation interreduction done
% 6.88/6.47
% 6.88/6.47 % Proof found!
% 6.88/6.47 % SZS status Unsatisfiable
% 6.88/6.47 % SZS output start CNFRefutation
% See solution above
% 6.88/6.47 % Parsed axioms : 624
% 6.88/6.47 % Removed by relevancy pruning/SinE : 0
% 6.88/6.47 % Initial clauses : 624
% 6.88/6.47 % Removed in clause preprocessing : 1
% 6.88/6.47 % Initial clauses in saturation : 623
% 6.88/6.47 % Processed clauses : 4000
% 6.88/6.47 % ...of these trivial : 163
% 6.88/6.47 % ...subsumed : 1883
% 6.88/6.47 % ...remaining for further processing : 1954
% 6.88/6.47 % Other redundant clauses eliminated : 58
% 6.88/6.47 % Clauses deleted for lack of memory : 0
% 6.88/6.47 % Backward-subsumed : 172
% 6.88/6.47 % Backward-rewritten : 85
% 6.88/6.47 % Generated clauses : 18423
% 6.88/6.47 % ...of the previous two non-redundant : 14928
% 6.88/6.47 % ...aggressively subsumed : 0
% 6.88/6.47 % Contextual simplify-reflections : 0
% 6.88/6.47 % Paramodulations : 18330
% 6.88/6.47 % Factorizations : 4
% 6.88/6.47 % NegExts : 0
% 6.88/6.47 % Equation resolutions : 89
% 6.88/6.47 % Disequality decompositions : 0
% 6.88/6.47 % Total rewrite steps : 9457
% 6.88/6.47 % ...of those cached : 7416
% 6.88/6.47 % Propositional unsat checks : 0
% 6.88/6.47 % Propositional check models : 0
% 6.88/6.47 % Propositional check unsatisfiable : 0
% 6.88/6.47 % Propositional clauses : 0
% 6.88/6.47 % Propositional clauses after purity: 0
% 6.88/6.47 % Propositional unsat core size : 0
% 6.88/6.47 % Propositional preprocessing time : 0.000
% 6.88/6.47 % Propositional encoding time : 0.000
% 6.88/6.47 % Propositional solver time : 0.000
% 6.88/6.47 % Success case prop preproc time : 0.000
% 6.88/6.47 % Success case prop encoding time : 0.000
% 6.88/6.47 % Success case prop solver time : 0.000
% 6.88/6.47 % Current number of processed clauses : 1217
% 6.88/6.47 % Positive orientable unit clauses : 492
% 6.88/6.47 % Positive unorientable unit clauses: 9
% 6.88/6.47 % Negative unit clauses : 212
% 6.88/6.47 % Non-unit-clauses : 504
% 6.88/6.47 % Current number of unprocessed clauses: 11725
% 6.88/6.47 % ...number of literals in the above : 22928
% 6.88/6.47 % Current number of archived formulas : 0
% 6.88/6.47 % Current number of archived clauses : 738
% 6.88/6.47 % Clause-clause subsumption calls (NU) : 85790
% 6.88/6.47 % Rec. Clause-clause subsumption calls : 56499
% 6.88/6.47 % Non-unit clause-clause subsumptions : 698
% 6.88/6.47 % Unit Clause-clause subsumption calls : 30076
% 6.88/6.47 % Rewrite failures with RHS unbound : 6
% 6.88/6.47 % BW rewrite match attempts : 1471
% 6.88/6.47 % BW rewrite match successes : 171
% 6.88/6.47 % Condensation attempts : 0
% 6.88/6.47 % Condensation successes : 0
% 6.88/6.47 % Termbank termtop insertions : 323984
% 6.88/6.47 % Search garbage collected termcells : 1079
% 6.88/6.47
% 6.88/6.47 % -------------------------------------------------
% 6.88/6.47 % User time : 0.764 s
% 6.88/6.47 % System time : 0.038 s
% 6.88/6.47 % Total time : 0.802 s
% 6.88/6.47 % Maximum resident set size: 4900 pages
% 6.88/6.47
% 6.88/6.47 % -------------------------------------------------
% 6.88/6.47 % User time : 4.090 s
% 6.88/6.47 % System time : 0.221 s
% 6.88/6.47 % Total time : 4.311 s
% 6.88/6.47 % Maximum resident set size: 5376 pages
% 6.88/6.47 % E exiting
%------------------------------------------------------------------------------