%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV721-1 : 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 : n006.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 03:06:45 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.68s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 14 unt; 0 nHn; 28 RR)
% Number of literals : 54 ( 2 equ; 23 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 63 ( 21 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_0,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_parts_OBody_0,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_parts_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_Says__imp__spies_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_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
cnf(cls_parts_OSnd_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_0 ).
cnf(c_0_13,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_parts_OBody_0]) ).
cnf(c_0_14,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_parts_OInj_0]) ).
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_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Says__imp__spies_0]) ).
cnf(c_0_16,plain,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
hBOOL(hAPP(c_List_Oset(v_evs,tc_Event_Oevent),c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_parts_OSnd_0]) ).
cnf(c_0_19,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_13 ).
cnf(c_0_20,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_14 ).
cnf(c_0_21,plain,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
c_0_15 ).
cnf(c_0_22,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_18 ).
cnf(c_0_24,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_N,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0 ).
cnf(c_0_29,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_30,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_31,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_29]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
c_0_30 ).
cnf(c_0_33,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_31]),c_0_28]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV721-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.56 % Computer : n006.cluster.edu
% 0.10/5.56 % Model : x86_64 x86_64
% 0.10/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.56 % Memory : 8046.5625MB
% 0.10/5.56 % OS : Linux 6.8.0-71-generic
% 0.10/5.56 % CPULimit : 300
% 0.10/5.56 % WCLimit : 300
% 0.10/5.56 % DateTime : Mon Sep 21 09:21:52 UTC 2026
% 0.10/5.56 % CPUTime :
% 0.10/5.56 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.60 Running first-order theorem proving
% 0.15/5.60 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
% 0.15/5.67 % Version: 3.5.1
% 0.15/5.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.67 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.67 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.67 % Starting sh5l with 300s (1) cores
% 0.15/5.67 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2510054 completed with status 0
% 0.15/5.67 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/5.67 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.67 % No SInE strategy applied
% 0.15/5.67 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/5.67 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.67 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.67 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/5.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.15/5.68 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.15/5.68 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.15/5.68 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2510062 completed with status 0
% 0.15/5.68 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/5.68 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.68 % No SInE strategy applied
% 0.15/5.68 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.15/5.68 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.68 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.68 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/5.68 % Preprocessing time : 0.004 s
% 0.15/5.68 % Presaturation interreduction done
% 0.15/5.68
% 0.15/5.68 % Proof found!
% 0.15/5.68 % SZS status Unsatisfiable
% 0.15/5.68 % SZS output start CNFRefutation
% See solution above
% 0.15/5.68 % Parsed axioms : 442
% 0.15/5.68 % Removed by relevancy pruning/SinE : 0
% 0.15/5.68 % Initial clauses : 442
% 0.15/5.68 % Removed in clause preprocessing : 0
% 0.15/5.68 % Initial clauses in saturation : 442
% 0.15/5.68 % Processed clauses : 827
% 0.15/5.68 % ...of these trivial : 52
% 0.15/5.68 % ...subsumed : 112
% 0.15/5.68 % ...remaining for further processing : 663
% 0.15/5.68 % Other redundant clauses eliminated : 13
% 0.15/5.68 % Clauses deleted for lack of memory : 0
% 0.15/5.68 % Backward-subsumed : 0
% 0.15/5.68 % Backward-rewritten : 7
% 0.15/5.68 % Generated clauses : 1029
% 0.15/5.68 % ...of the previous two non-redundant : 767
% 0.15/5.68 % ...aggressively subsumed : 0
% 0.15/5.68 % Contextual simplify-reflections : 0
% 0.15/5.68 % Paramodulations : 996
% 0.15/5.68 % Factorizations : 0
% 0.15/5.68 % NegExts : 0
% 0.15/5.68 % Equation resolutions : 33
% 0.15/5.68 % Disequality decompositions : 0
% 0.15/5.68 % Total rewrite steps : 421
% 0.15/5.68 % ...of those cached : 244
% 0.15/5.68 % Propositional unsat checks : 0
% 0.15/5.68 % Propositional check models : 0
% 0.15/5.68 % Propositional check unsatisfiable : 0
% 0.15/5.68 % Propositional clauses : 0
% 0.15/5.68 % Propositional clauses after purity: 0
% 0.15/5.68 % Propositional unsat core size : 0
% 0.15/5.68 % Propositional preprocessing time : 0.000
% 0.15/5.68 % Propositional encoding time : 0.000
% 0.15/5.68 % Propositional solver time : 0.000
% 0.15/5.68 % Success case prop preproc time : 0.000
% 0.15/5.68 % Success case prop encoding time : 0.000
% 0.15/5.68 % Success case prop solver time : 0.000
% 0.15/5.68 % Current number of processed clauses : 298
% 0.15/5.68 % Positive orientable unit clauses : 112
% 0.15/5.68 % Positive unorientable unit clauses: 0
% 0.15/5.68 % Negative unit clauses : 19
% 0.15/5.68 % Non-unit-clauses : 167
% 0.15/5.68 % Current number of unprocessed clauses: 738
% 0.15/5.68 % ...number of literals in the above : 1418
% 0.15/5.68 % Current number of archived formulas : 0
% 0.15/5.68 % Current number of archived clauses : 365
% 0.15/5.68 % Clause-clause subsumption calls (NU) : 21508
% 0.15/5.68 % Rec. Clause-clause subsumption calls : 18763
% 0.15/5.68 % Non-unit clause-clause subsumptions : 74
% 0.15/5.68 % Unit Clause-clause subsumption calls : 872
% 0.15/5.68 % Rewrite failures with RHS unbound : 0
% 0.15/5.68 % BW rewrite match attempts : 137
% 0.15/5.68 % BW rewrite match successes : 23
% 0.15/5.68 % Condensation attempts : 0
% 0.15/5.68 % Condensation successes : 0
% 0.15/5.68 % Termbank termtop insertions : 30249
% 0.15/5.68 % Search garbage collected termcells : 783
% 0.15/5.68
% 0.15/5.68 % -------------------------------------------------
% 0.15/5.68 % User time : 0.039 s
% 0.15/5.68 % System time : 0.010 s
% 0.15/5.68 % Total time : 0.049 s
% 0.15/5.68 % Maximum resident set size: 4232 pages
% 0.15/5.68
% 0.15/5.68 % -------------------------------------------------
% 0.15/5.68 % User time : 0.188 s
% 0.15/5.68 % System time : 0.035 s
% 0.15/5.68 % Total time : 0.222 s
% 0.15/5.68 % Maximum resident set size: 4864 pages
% 0.15/5.68 % E exiting
%------------------------------------------------------------------------------