%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:59:54 PM UTC 2026
% Result : Unsatisfiable 0.85s 0.60s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 40 ( 25 unt; 0 nHn; 33 RR)
% Number of literals : 61 ( 6 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 40 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_conjecture_13,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).
cnf(cls_conjecture_9,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_invKey__K_0,axiom,
( ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X2),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
cnf(cls_conjecture_1,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
cnf(c_0_10,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_11,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
cls_conjecture_13 ).
cnf(c_0_12,negated_conjecture,
v_K = v_KAB,
cls_conjecture_9 ).
cnf(c_0_13,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_14,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
c_0_10 ).
cnf(c_0_15,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(X1) = X1 ),
inference(fof_simplification,[status(thm)],[cls_invKey__K_0]) ).
cnf(c_0_17,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
cls_conjecture_3 ).
cnf(c_0_18,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X2),tc_nat)) ),
inference(fof_simplification,[status(thm)],[cls_Crypt__imp__invKey__keysFor_0]) ).
cnf(c_0_19,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_13 ).
cnf(c_0_20,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
( ~ hBOOL(c_in(X1,c_Message_OsymKeys,tc_nat))
| c_Message_OinvKey(X1) = X1 ),
c_0_16 ).
cnf(c_0_22,negated_conjecture,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(rw,[status(thm)],[c_0_17,c_0_12]) ).
cnf(c_0_23,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X2),tc_nat)) ),
c_0_18 ).
cnf(c_0_24,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),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_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
c_Message_OinvKey(v_K) = v_K,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_27,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
cls_conjecture_1 ).
cnf(c_0_28,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_2]) ).
cnf(c_0_29,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_30,negated_conjecture,
hBOOL(hAPP(c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),v_K)),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(spm,[status(thm)],[c_0_14,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_K)),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_33,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
c_0_28 ).
cnf(c_0_34,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_29 ).
cnf(c_0_35,negated_conjecture,
hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),X1)),
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
hBOOL(c_in(v_K,c_Message_OsymKeys,X1)),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(rw,[status(thm)],[c_0_33,c_0_12]) ).
cnf(c_0_39,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_34,c_0_35]),c_0_36]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:24:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.85/0.60 % Version: 3.5.1
% 0.85/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.85/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.85/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.85/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.85/0.60 % Starting sh5l with 300s (1) cores
% 0.85/0.60 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 667374 completed with status 0
% 0.85/0.60 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.85/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.85/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.85/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.85/0.60 % No SInE strategy applied
% 0.85/0.60 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.85/0.60 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.85/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.85/0.60 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.85/0.60 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.85/0.60 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.85/0.60 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 667382 completed with status 0
% 0.85/0.60 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.85/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.85/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.85/0.60 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.85/0.60 % No SInE strategy applied
% 0.85/0.60 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.85/0.60 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.60 % Starting SubtermCWHack with 136s (1) cores
% 0.85/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.85/0.60 % Preprocessing time : 0.010 s
% 0.85/0.60 % Presaturation interreduction done
% 0.85/0.60
% 0.85/0.60 % Proof found!
% 0.85/0.60 % SZS status Unsatisfiable
% 0.85/0.60 % SZS output start CNFRefutation
% See solution above
% 0.85/0.60 % Parsed axioms : 578
% 0.85/0.60 % Removed by relevancy pruning/SinE : 0
% 0.85/0.60 % Initial clauses : 578
% 0.85/0.60 % Removed in clause preprocessing : 1
% 0.85/0.60 % Initial clauses in saturation : 577
% 0.85/0.60 % Processed clauses : 1196
% 0.85/0.60 % ...of these trivial : 51
% 0.85/0.60 % ...subsumed : 157
% 0.85/0.60 % ...remaining for further processing : 988
% 0.85/0.60 % Other redundant clauses eliminated : 15
% 0.85/0.60 % Clauses deleted for lack of memory : 0
% 0.85/0.60 % Backward-subsumed : 4
% 0.85/0.60 % Backward-rewritten : 33
% 0.85/0.60 % Generated clauses : 2972
% 0.85/0.60 % ...of the previous two non-redundant : 2269
% 0.85/0.60 % ...aggressively subsumed : 0
% 0.85/0.60 % Contextual simplify-reflections : 0
% 0.85/0.60 % Paramodulations : 2930
% 0.85/0.60 % Factorizations : 0
% 0.85/0.60 % NegExts : 0
% 0.85/0.60 % Equation resolutions : 42
% 0.85/0.60 % Disequality decompositions : 0
% 0.85/0.60 % Total rewrite steps : 1048
% 0.85/0.60 % ...of those cached : 620
% 0.85/0.60 % Propositional unsat checks : 0
% 0.85/0.60 % Propositional check models : 0
% 0.85/0.60 % Propositional check unsatisfiable : 0
% 0.85/0.60 % Propositional clauses : 0
% 0.85/0.60 % Propositional clauses after purity: 0
% 0.85/0.60 % Propositional unsat core size : 0
% 0.85/0.60 % Propositional preprocessing time : 0.000
% 0.85/0.60 % Propositional encoding time : 0.000
% 0.85/0.60 % Propositional solver time : 0.000
% 0.85/0.60 % Success case prop preproc time : 0.000
% 0.85/0.60 % Success case prop encoding time : 0.000
% 0.85/0.60 % Success case prop solver time : 0.000
% 0.85/0.60 % Current number of processed clauses : 504
% 0.85/0.60 % Positive orientable unit clauses : 191
% 0.85/0.60 % Positive unorientable unit clauses: 2
% 0.85/0.60 % Negative unit clauses : 52
% 0.85/0.60 % Non-unit-clauses : 259
% 0.85/0.60 % Current number of unprocessed clauses: 2091
% 0.85/0.60 % ...number of literals in the above : 4758
% 0.85/0.60 % Current number of archived formulas : 0
% 0.85/0.60 % Current number of archived clauses : 485
% 0.85/0.60 % Clause-clause subsumption calls (NU) : 47553
% 0.85/0.60 % Rec. Clause-clause subsumption calls : 32295
% 0.85/0.60 % Non-unit clause-clause subsumptions : 123
% 0.85/0.60 % Unit Clause-clause subsumption calls : 2549
% 0.85/0.60 % Rewrite failures with RHS unbound : 0
% 0.85/0.60 % BW rewrite match attempts : 386
% 0.85/0.60 % BW rewrite match successes : 86
% 0.85/0.60 % Condensation attempts : 0
% 0.85/0.60 % Condensation successes : 0
% 0.85/0.60 % Termbank termtop insertions : 73953
% 0.85/0.60 % Search garbage collected termcells : 1072
% 0.85/0.60
% 0.85/0.60 % -------------------------------------------------
% 0.85/0.60 % User time : 0.138 s
% 0.85/0.60 % System time : 0.019 s
% 0.85/0.60 % Total time : 0.157 s
% 0.85/0.60 % Maximum resident set size: 4592 pages
% 0.85/0.60
% 0.85/0.60 % -------------------------------------------------
% 0.85/0.60 % User time : 0.581 s
% 0.85/0.60 % System time : 0.063 s
% 0.85/0.60 % Total time : 0.644 s
% 0.85/0.60 % Maximum resident set size: 5376 pages
% 0.85/0.60 % E exiting
%------------------------------------------------------------------------------