%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV792-1 : 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 : n017.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 1.74s 0.66s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 22 unt; 3 nHn; 33 RR)
% Number of literals : 60 ( 19 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-3 aty)
% Number of variables : 73 ( 33 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_4,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_msg_Osimps_I7_J_1,axiom,
( c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4)
| X2 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
cnf(cls_cert__A__form_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_conjecture_7,negated_conjecture,
v_B = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_9,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_msg_Osimps_I34_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
cnf(c_0_11,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_12,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).
cnf(c_0_13,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_15,plain,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Says__imp__parts__knows__Spy_0]) ).
cnf(c_0_16,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(c_List_Oset(v_evs3,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2 ).
cnf(c_0_19,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_20,plain,
( c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4)
| X2 = X4 ),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I7_J_1]) ).
cnf(c_0_21,plain,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) ),
inference(fof_simplification,[status(thm)],[cls_cert__A__form_1]) ).
cnf(c_0_22,plain,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
c_0_15 ).
cnf(c_0_23,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evs3)),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
c_0_19 ).
cnf(c_0_26,negated_conjecture,
v_B = v_Aa,
cls_conjecture_7 ).
cnf(c_0_27,plain,
( c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4)
| X2 = X4 ),
c_0_20 ).
cnf(c_0_28,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
cls_conjecture_9 ).
cnf(c_0_29,plain,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4))) ),
c_0_21 ).
cnf(c_0_30,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,X1),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
inference(fof_simplification,[status(thm)],[cls_msg_Osimps_I34_J_0]) ).
cnf(c_0_34,negated_conjecture,
( c_Message_Omsg_OCrypt(X2,X1) != v_X
| X1 = c_Message_Omsg_ONonce(v_Nb) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_36,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
c_0_33 ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 09:20:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 1.74/0.66 % Version: 3.5.1
% 1.74/0.66 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.74/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.74/0.66 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.74/0.66 % Starting new_bool_3 with 300s (1) cores
% 1.74/0.66 % Starting new_bool_1 with 300s (1) cores
% 1.74/0.66 % Starting sh5l with 300s (1) cores
% 1.74/0.66 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1981318 completed with status 0
% 1.74/0.66 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.74/0.66 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.74/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.74/0.66 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.74/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.74/0.66 % No SInE strategy applied
% 1.74/0.66 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.74/0.66 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.74/0.66 % Starting SubtermCWHack with 136s (1) cores
% 1.74/0.66 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.74/0.66 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 1.74/0.66 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 1.74/0.66 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 1.74/0.66 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1981332 completed with status 0
% 1.74/0.66 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.74/0.66 % Preprocessing class: FSLSSMSMSSSNFFN.
% 1.74/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.74/0.66 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.74/0.66 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.74/0.66 % No SInE strategy applied
% 1.74/0.66 % Search class: FGHSM-FSLM32-DFFFFFNN
% 1.74/0.66 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 1.74/0.66 % Starting SubtermCWHack with 136s (1) cores
% 1.74/0.66 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.74/0.66 % Preprocessing time : 0.010 s
% 1.74/0.66 % Presaturation interreduction done
% 1.74/0.66
% 1.74/0.66 % Proof found!
% 1.74/0.66 % SZS status Unsatisfiable
% 1.74/0.66 % SZS output start CNFRefutation
% See solution above
% 1.74/0.66 % Parsed axioms : 642
% 1.74/0.66 % Removed by relevancy pruning/SinE : 0
% 1.74/0.66 % Initial clauses : 642
% 1.74/0.66 % Removed in clause preprocessing : 1
% 1.74/0.66 % Initial clauses in saturation : 641
% 1.74/0.66 % Processed clauses : 1388
% 1.74/0.66 % ...of these trivial : 71
% 1.74/0.66 % ...subsumed : 140
% 1.74/0.66 % ...remaining for further processing : 1177
% 1.74/0.66 % Other redundant clauses eliminated : 32
% 1.74/0.66 % Clauses deleted for lack of memory : 0
% 1.74/0.66 % Backward-subsumed : 3
% 1.74/0.66 % Backward-rewritten : 61
% 1.74/0.66 % Generated clauses : 4276
% 1.74/0.66 % ...of the previous two non-redundant : 3311
% 1.74/0.66 % ...aggressively subsumed : 0
% 1.74/0.66 % Contextual simplify-reflections : 0
% 1.74/0.66 % Paramodulations : 4211
% 1.74/0.66 % Factorizations : 2
% 1.74/0.66 % NegExts : 0
% 1.74/0.66 % Equation resolutions : 63
% 1.74/0.66 % Disequality decompositions : 0
% 1.74/0.66 % Total rewrite steps : 1715
% 1.74/0.66 % ...of those cached : 1011
% 1.74/0.66 % Propositional unsat checks : 0
% 1.74/0.66 % Propositional check models : 0
% 1.74/0.66 % Propositional check unsatisfiable : 0
% 1.74/0.66 % Propositional clauses : 0
% 1.74/0.66 % Propositional clauses after purity: 0
% 1.74/0.66 % Propositional unsat core size : 0
% 1.74/0.66 % Propositional preprocessing time : 0.000
% 1.74/0.66 % Propositional encoding time : 0.000
% 1.74/0.66 % Propositional solver time : 0.000
% 1.74/0.66 % Success case prop preproc time : 0.000
% 1.74/0.66 % Success case prop encoding time : 0.000
% 1.74/0.66 % Success case prop solver time : 0.000
% 1.74/0.66 % Current number of processed clauses : 617
% 1.74/0.66 % Positive orientable unit clauses : 271
% 1.74/0.66 % Positive unorientable unit clauses: 7
% 1.74/0.66 % Negative unit clauses : 55
% 1.74/0.66 % Non-unit-clauses : 284
% 1.74/0.66 % Current number of unprocessed clauses: 3036
% 1.74/0.66 % ...number of literals in the above : 6615
% 1.74/0.66 % Current number of archived formulas : 0
% 1.74/0.66 % Current number of archived clauses : 561
% 1.74/0.66 % Clause-clause subsumption calls (NU) : 40240
% 1.74/0.66 % Rec. Clause-clause subsumption calls : 23645
% 1.74/0.66 % Non-unit clause-clause subsumptions : 82
% 1.74/0.66 % Unit Clause-clause subsumption calls : 3386
% 1.74/0.66 % Rewrite failures with RHS unbound : 6
% 1.74/0.66 % BW rewrite match attempts : 384
% 1.74/0.66 % BW rewrite match successes : 133
% 1.74/0.66 % Condensation attempts : 0
% 1.74/0.66 % Condensation successes : 0
% 1.74/0.66 % Termbank termtop insertions : 95624
% 1.74/0.66 % Search garbage collected termcells : 1108
% 1.74/0.66
% 1.74/0.66 % -------------------------------------------------
% 1.74/0.66 % User time : 0.186 s
% 1.74/0.66 % System time : 0.013 s
% 1.74/0.66 % Total time : 0.199 s
% 1.74/0.66 % Maximum resident set size: 4916 pages
% 1.74/0.66
% 1.74/0.66 % -------------------------------------------------
% 1.74/0.66 % User time : 0.874 s
% 1.74/0.66 % System time : 0.061 s
% 1.74/0.66 % Total time : 0.935 s
% 1.74/0.66 % Maximum resident set size: 5376 pages
% 1.74/0.66 % E exiting
%------------------------------------------------------------------------------