%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV756-1 : 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 : n012.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 02:59:53 PM UTC 2026
% Result : Unsatisfiable 0.59s 0.56s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 19 unt; 0 nHn; 24 RR)
% Number of literals : 52 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 37 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_10,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_2,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Crypt__imp__keysFor_0,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(cls_conjecture_0,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_new__keys__not__used_0,axiom,
( ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_8,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_9,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_10,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
cls_conjecture_10 ).
cnf(c_0_12,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
cls_conjecture_2 ).
cnf(c_0_13,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat)) ),
inference(fof_simplification,[status(thm)],[cls_Crypt__imp__keysFor_0]) ).
cnf(c_0_14,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_9 ).
cnf(c_0_15,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_17,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X1,c_Message_OkeysFor(X2),tc_nat)) ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),X1)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_21,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_0 ).
cnf(c_0_22,plain,
( ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)) ),
inference(fof_simplification,[status(thm)],[cls_new__keys__not__used_0]) ).
cnf(c_0_23,negated_conjecture,
hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),v_KAB)),
inference(spm,[status(thm)],[c_0_10,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(spm,[status(thm)],[c_0_10,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_26,plain,
( ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)) ),
c_0_22 ).
cnf(c_0_27,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),X1)),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
c_0_25 ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_19])]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n012.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 09:23:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.59/0.56 % Version: 3.5.1
% 0.59/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.59/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.59/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.59/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.59/0.56 % Starting sh5l with 300s (1) cores
% 0.59/0.56 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2070359 completed with status 0
% 0.59/0.56 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.59/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.59/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.59/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.56 % No SInE strategy applied
% 0.59/0.56 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.59/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.59/0.56 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 354s (1) cores
% 0.59/0.56 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.59/0.56 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.59/0.56 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2070367 completed with status 0
% 0.59/0.56 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.59/0.56 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.59/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.59/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.59/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.59/0.56 % No SInE strategy applied
% 0.59/0.56 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.59/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.59/0.56 % Starting SubtermCWHack with 136s (1) cores
% 0.59/0.56 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.59/0.56 % Preprocessing time : 0.007 s
% 0.59/0.56 % Presaturation interreduction done
% 0.59/0.56
% 0.59/0.56 % Proof found!
% 0.59/0.56 % SZS status Unsatisfiable
% 0.59/0.56 % SZS output start CNFRefutation
% See solution above
% 0.59/0.56 % Parsed axioms : 590
% 0.59/0.56 % Removed by relevancy pruning/SinE : 0
% 0.59/0.56 % Initial clauses : 590
% 0.59/0.56 % Removed in clause preprocessing : 1
% 0.59/0.56 % Initial clauses in saturation : 589
% 0.59/0.56 % Processed clauses : 1219
% 0.59/0.56 % ...of these trivial : 41
% 0.59/0.56 % ...subsumed : 167
% 0.59/0.56 % ...remaining for further processing : 1011
% 0.59/0.56 % Other redundant clauses eliminated : 23
% 0.59/0.56 % Clauses deleted for lack of memory : 0
% 0.59/0.56 % Backward-subsumed : 6
% 0.59/0.56 % Backward-rewritten : 30
% 0.59/0.56 % Generated clauses : 2946
% 0.59/0.56 % ...of the previous two non-redundant : 2217
% 0.59/0.56 % ...aggressively subsumed : 0
% 0.59/0.56 % Contextual simplify-reflections : 0
% 0.59/0.56 % Paramodulations : 2896
% 0.59/0.56 % Factorizations : 0
% 0.59/0.56 % NegExts : 0
% 0.59/0.56 % Equation resolutions : 50
% 0.59/0.56 % Disequality decompositions : 0
% 0.59/0.56 % Total rewrite steps : 1072
% 0.59/0.56 % ...of those cached : 618
% 0.59/0.56 % Propositional unsat checks : 0
% 0.59/0.56 % Propositional check models : 0
% 0.59/0.56 % Propositional check unsatisfiable : 0
% 0.59/0.56 % Propositional clauses : 0
% 0.59/0.56 % Propositional clauses after purity: 0
% 0.59/0.56 % Propositional unsat core size : 0
% 0.59/0.56 % Propositional preprocessing time : 0.000
% 0.59/0.56 % Propositional encoding time : 0.000
% 0.59/0.56 % Propositional solver time : 0.000
% 0.59/0.56 % Success case prop preproc time : 0.000
% 0.59/0.56 % Success case prop encoding time : 0.000
% 0.59/0.56 % Success case prop solver time : 0.000
% 0.59/0.56 % Current number of processed clauses : 516
% 0.59/0.56 % Positive orientable unit clauses : 183
% 0.59/0.56 % Positive unorientable unit clauses: 2
% 0.59/0.56 % Negative unit clauses : 73
% 0.59/0.56 % Non-unit-clauses : 258
% 0.59/0.56 % Current number of unprocessed clauses: 2040
% 0.59/0.56 % ...number of literals in the above : 4508
% 0.59/0.56 % Current number of archived formulas : 0
% 0.59/0.56 % Current number of archived clauses : 496
% 0.59/0.56 % Clause-clause subsumption calls (NU) : 33177
% 0.59/0.56 % Rec. Clause-clause subsumption calls : 24831
% 0.59/0.56 % Non-unit clause-clause subsumptions : 97
% 0.59/0.56 % Unit Clause-clause subsumption calls : 676
% 0.59/0.56 % Rewrite failures with RHS unbound : 3
% 0.59/0.56 % BW rewrite match attempts : 400
% 0.59/0.56 % BW rewrite match successes : 106
% 0.59/0.56 % Condensation attempts : 0
% 0.59/0.56 % Condensation successes : 0
% 0.59/0.56 % Termbank termtop insertions : 75058
% 0.59/0.56 % Search garbage collected termcells : 1069
% 0.59/0.56
% 0.59/0.56 % -------------------------------------------------
% 0.59/0.56 % User time : 0.125 s
% 0.59/0.56 % System time : 0.008 s
% 0.59/0.56 % Total time : 0.133 s
% 0.59/0.56 % Maximum resident set size: 4652 pages
% 0.59/0.56
% 0.59/0.56 % -------------------------------------------------
% 0.59/0.56 % User time : 0.588 s
% 0.59/0.56 % System time : 0.061 s
% 0.59/0.56 % Total time : 0.650 s
% 0.59/0.56 % Maximum resident set size: 5120 pages
% 0.59/0.56 % E exiting
%------------------------------------------------------------------------------