%------------------------------------------------------------------------------
% File : E-SAT---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 : n009.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 03:06:50 PM UTC 2026
% Result : Unsatisfiable 1.10s 0.64s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 32 ( 19 unt; 0 nHn; 24 RR)
% Number of literals : 54 ( 3 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 : 20 ( 20 usr; 10 con; 0-3 aty)
% Number of variables : 45 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_insert__absorb_0,axiom,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
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_9,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).
cnf(c_0_10,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1 ).
cnf(c_0_11,plain,
( ~ hBOOL(c_in(X1,X2,X3))
| c_Set_Oinsert(X1,X2,X3) = X2 ),
c_0_9 ).
cnf(c_0_12,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_13,plain,
( ~ hBOOL(c_in(X2,X1,X3))
| hBOOL(hAPP(X1,X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,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_15,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
cls_conjecture_2 ).
cnf(c_0_16,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_17,plain,
( ~ hBOOL(hAPP(X2,X1))
| hBOOL(c_in(X1,X2,X3)) ),
c_0_12 ).
cnf(c_0_18,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_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
hBOOL(hAPP(c_Message_OsymKeys,v_KAB)),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_20,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_21,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_22,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_16 ).
cnf(c_0_23,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_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs2)),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_26,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_27,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_21 ).
cnf(c_0_28,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_22,c_0_23]),c_0_24])]) ).
cnf(c_0_29,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,X1)),
inference(spm,[status(thm)],[c_0_17,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
c_0_26 ).
cnf(c_0_31,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_27,c_0_28]),c_0_29]),c_0_24])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:23:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 1.10/0.64 % Version: 3.5.1
% 1.10/0.64 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.10/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.10/0.64 % Starting new_bool_3 with 300s (1) cores
% 1.10/0.64 % Starting new_bool_1 with 300s (1) cores
% 1.10/0.64 % Starting sh5l with 300s (1) cores
% 1.10/0.64 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1408148 completed with status 0
% 1.10/0.64 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.10/0.64 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.10/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.10/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.10/0.64 % No SInE strategy applied
% 1.10/0.64 % Search class: FGHSM-FSLM31-DFFFFFNN
% 1.10/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.10/0.64 % Starting SubtermCWHack with 136s (1) cores
% 1.10/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.10/0.64 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 354s (1) cores
% 1.10/0.64 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.10/0.64 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 1.10/0.64 % C07_19_nc_SAT001_MinMin_p005000_rr with pid 1408164 completed with status 0
% 1.10/0.64 % Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 1.10/0.64 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.10/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.10/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.10/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.10/0.64 % No SInE strategy applied
% 1.10/0.64 % Search class: FGHSM-FSLM31-DFFFFFNN
% 1.10/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.10/0.64 % Starting SubtermCWHack with 136s (1) cores
% 1.10/0.64 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.10/0.64 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 354s (1) cores
% 1.10/0.64 % Preprocessing time : 0.009 s
% 1.10/0.64 % Presaturation interreduction done
% 1.10/0.64
% 1.10/0.64 % Proof found!
% 1.10/0.64 % SZS status Unsatisfiable
% 1.10/0.64 % SZS output start CNFRefutation
% See solution above
% 1.10/0.64 % Parsed axioms : 590
% 1.10/0.64 % Removed by relevancy pruning/SinE : 0
% 1.10/0.64 % Initial clauses : 590
% 1.10/0.64 % Removed in clause preprocessing : 1
% 1.10/0.64 % Initial clauses in saturation : 589
% 1.10/0.64 % Processed clauses : 1785
% 1.10/0.64 % ...of these trivial : 48
% 1.10/0.64 % ...subsumed : 657
% 1.10/0.64 % ...remaining for further processing : 1080
% 1.10/0.64 % Other redundant clauses eliminated : 30
% 1.10/0.64 % Clauses deleted for lack of memory : 0
% 1.10/0.64 % Backward-subsumed : 14
% 1.10/0.64 % Backward-rewritten : 29
% 1.10/0.64 % Generated clauses : 3406
% 1.10/0.64 % ...of the previous two non-redundant : 2758
% 1.10/0.64 % ...aggressively subsumed : 0
% 1.10/0.64 % Contextual simplify-reflections : 0
% 1.10/0.64 % Paramodulations : 3353
% 1.10/0.64 % Factorizations : 0
% 1.10/0.64 % NegExts : 0
% 1.10/0.64 % Equation resolutions : 53
% 1.10/0.64 % Disequality decompositions : 0
% 1.10/0.64 % Total rewrite steps : 1599
% 1.10/0.64 % ...of those cached : 1021
% 1.10/0.64 % Propositional unsat checks : 0
% 1.10/0.64 % Propositional check models : 0
% 1.10/0.64 % Propositional check unsatisfiable : 0
% 1.10/0.64 % Propositional clauses : 0
% 1.10/0.64 % Propositional clauses after purity: 0
% 1.10/0.64 % Propositional unsat core size : 0
% 1.10/0.64 % Propositional preprocessing time : 0.000
% 1.10/0.64 % Propositional encoding time : 0.000
% 1.10/0.64 % Propositional solver time : 0.000
% 1.10/0.64 % Success case prop preproc time : 0.000
% 1.10/0.64 % Success case prop encoding time : 0.000
% 1.10/0.64 % Success case prop solver time : 0.000
% 1.10/0.64 % Current number of processed clauses : 578
% 1.10/0.64 % Positive orientable unit clauses : 205
% 1.10/0.64 % Positive unorientable unit clauses: 6
% 1.10/0.64 % Negative unit clauses : 143
% 1.10/0.64 % Non-unit-clauses : 224
% 1.10/0.64 % Current number of unprocessed clauses: 1923
% 1.10/0.64 % ...number of literals in the above : 3536
% 1.10/0.64 % Current number of archived formulas : 0
% 1.10/0.64 % Current number of archived clauses : 503
% 1.10/0.64 % Clause-clause subsumption calls (NU) : 35689
% 1.10/0.64 % Rec. Clause-clause subsumption calls : 26814
% 1.10/0.64 % Non-unit clause-clause subsumptions : 292
% 1.10/0.64 % Unit Clause-clause subsumption calls : 3283
% 1.10/0.64 % Rewrite failures with RHS unbound : 6
% 1.10/0.64 % BW rewrite match attempts : 534
% 1.10/0.64 % BW rewrite match successes : 130
% 1.10/0.64 % Condensation attempts : 0
% 1.10/0.64 % Condensation successes : 0
% 1.10/0.64 % Termbank termtop insertions : 80627
% 1.10/0.64 % Search garbage collected termcells : 1069
% 1.10/0.64
% 1.10/0.64 % -------------------------------------------------
% 1.10/0.64 % User time : 0.153 s
% 1.10/0.64 % System time : 0.015 s
% 1.10/0.64 % Total time : 0.168 s
% 1.10/0.64 % Maximum resident set size: 4396 pages
% 1.10/0.64
% 1.10/0.64 % -------------------------------------------------
% 1.10/0.64 % User time : 0.573 s
% 1.10/0.64 % System time : 0.068 s
% 1.10/0.64 % Total time : 0.641 s
% 1.10/0.64 % Maximum resident set size: 5120 pages
% 1.10/0.64 % E exiting
%------------------------------------------------------------------------------