%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV801-1 : 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 : n005.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 02:59:59 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.59s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 35 ( 20 unt; 0 nHn; 28 RR)
% Number of literals : 56 ( 4 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 40 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_12,negated_conjecture,
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_12) ).
cnf(cls_invKey__K_0,axiom,
( ~ 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_Crypt__imp__invKey__keysFor_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| 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_4,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_2,negated_conjecture,
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_2) ).
cnf(cls_new__keys__not__used_0,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| 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(cls_conjecture_3,negated_conjecture,
~ 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_3) ).
cnf(c_0_9,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_10,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_11,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
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_12 ).
cnf(c_0_13,plain,
( ~ 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_14,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| 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_15,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_16,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_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
c_0_13 ).
cnf(c_0_18,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
cls_conjecture_4 ).
cnf(c_0_19,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X2),tc_nat) ),
c_0_14 ).
cnf(c_0_20,negated_conjecture,
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)),X1),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
c_Message_OinvKey(v_KAB) = v_KAB,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
c_in(v_KAB,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_19,c_0_20]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_24,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| 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_25,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_11,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(spm,[status(thm)],[c_0_11,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_28,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_29,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
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_15,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,X1),
inference(spm,[status(thm)],[c_0_15,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
c_0_28 ).
cnf(c_0_34,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_29,c_0_30]),c_0_31]),c_0_32])]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV801-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 09:25:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 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
% 0.16/0.59 % Version: 3.5.1
% 0.16/0.59 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.59 % Starting sh5l with 300s (1) cores
% 0.16/0.59 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3120397 completed with status 0
% 0.16/0.59 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.59 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.59 % No SInE strategy applied
% 0.16/0.59 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.16/0.59 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.16/0.59 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.16/0.59 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.16/0.59 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3120405 completed with status 0
% 0.16/0.59 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.59 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.59 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.59 % No SInE strategy applied
% 0.16/0.59 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.16/0.59 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.59 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.59 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.59 % Preprocessing time : 0.009 s
% 0.16/0.59 % Presaturation interreduction done
% 0.16/0.59
% 0.16/0.59 % Proof found!
% 0.16/0.59 % SZS status Unsatisfiable
% 0.16/0.59 % SZS output start CNFRefutation
% See solution above
% 0.16/0.59 % Parsed axioms : 577
% 0.16/0.59 % Removed by relevancy pruning/SinE : 0
% 0.16/0.59 % Initial clauses : 577
% 0.16/0.59 % Removed in clause preprocessing : 1
% 0.16/0.59 % Initial clauses in saturation : 576
% 0.16/0.59 % Processed clauses : 1164
% 0.16/0.59 % ...of these trivial : 43
% 0.16/0.59 % ...subsumed : 152
% 0.16/0.59 % ...remaining for further processing : 969
% 0.16/0.59 % Other redundant clauses eliminated : 14
% 0.16/0.59 % Clauses deleted for lack of memory : 0
% 0.16/0.59 % Backward-subsumed : 10
% 0.16/0.59 % Backward-rewritten : 32
% 0.16/0.59 % Generated clauses : 2190
% 0.16/0.59 % ...of the previous two non-redundant : 1637
% 0.16/0.59 % ...aggressively subsumed : 0
% 0.16/0.59 % Contextual simplify-reflections : 0
% 0.16/0.59 % Paramodulations : 2149
% 0.16/0.59 % Factorizations : 0
% 0.16/0.59 % NegExts : 0
% 0.16/0.59 % Equation resolutions : 41
% 0.16/0.59 % Disequality decompositions : 0
% 0.16/0.59 % Total rewrite steps : 778
% 0.16/0.59 % ...of those cached : 450
% 0.16/0.59 % Propositional unsat checks : 0
% 0.16/0.59 % Propositional check models : 0
% 0.16/0.59 % Propositional check unsatisfiable : 0
% 0.16/0.59 % Propositional clauses : 0
% 0.16/0.59 % Propositional clauses after purity: 0
% 0.16/0.59 % Propositional unsat core size : 0
% 0.16/0.59 % Propositional preprocessing time : 0.000
% 0.16/0.59 % Propositional encoding time : 0.000
% 0.16/0.59 % Propositional solver time : 0.000
% 0.16/0.59 % Success case prop preproc time : 0.000
% 0.16/0.59 % Success case prop encoding time : 0.000
% 0.16/0.59 % Success case prop solver time : 0.000
% 0.16/0.59 % Current number of processed clauses : 477
% 0.16/0.59 % Positive orientable unit clauses : 177
% 0.16/0.59 % Positive unorientable unit clauses: 1
% 0.16/0.59 % Negative unit clauses : 58
% 0.16/0.59 % Non-unit-clauses : 241
% 0.16/0.59 % Current number of unprocessed clauses: 1491
% 0.16/0.59 % ...number of literals in the above : 3368
% 0.16/0.59 % Current number of archived formulas : 0
% 0.16/0.59 % Current number of archived clauses : 493
% 0.16/0.59 % Clause-clause subsumption calls (NU) : 52583
% 0.16/0.59 % Rec. Clause-clause subsumption calls : 33188
% 0.16/0.59 % Non-unit clause-clause subsumptions : 111
% 0.16/0.59 % Unit Clause-clause subsumption calls : 2130
% 0.16/0.59 % Rewrite failures with RHS unbound : 0
% 0.16/0.59 % BW rewrite match attempts : 262
% 0.16/0.59 % BW rewrite match successes : 93
% 0.16/0.59 % Condensation attempts : 0
% 0.16/0.59 % Condensation successes : 0
% 0.16/0.59 % Termbank termtop insertions : 57863
% 0.16/0.59 % Search garbage collected termcells : 1082
% 0.16/0.59
% 0.16/0.59 % -------------------------------------------------
% 0.16/0.59 % User time : 0.130 s
% 0.16/0.59 % System time : 0.011 s
% 0.16/0.59 % Total time : 0.141 s
% 0.16/0.59 % Maximum resident set size: 4612 pages
% 0.16/0.59
% 0.16/0.59 % -------------------------------------------------
% 0.16/0.59 % User time : 0.552 s
% 0.16/0.59 % System time : 0.049 s
% 0.16/0.59 % Total time : 0.600 s
% 0.16/0.59 % Maximum resident set size: 5376 pages
% 0.16/0.59 % E exiting
%------------------------------------------------------------------------------