%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV721-1 : 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 02:59:48 PM UTC 2026
% Result : Unsatisfiable 0.17s 5.69s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 12 unt; 0 nHn; 27 RR)
% Number of literals : 46 ( 2 equ; 20 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 50 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
cnf(cls_analz_OSnd_0,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
cnf(cls_analz_OInj_0,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_8,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_9,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_10,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_11,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_analz_OSnd_0]) ).
cnf(c_0_12,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_analz_OInj_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) ),
c_0_8 ).
cnf(c_0_14,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_9 ).
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) ),
c_0_10 ).
cnf(c_0_16,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_17,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_11 ).
cnf(c_0_18,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_12 ).
cnf(c_0_19,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_13,c_0_14]) ).
cnf(c_0_20,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_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,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_19,c_0_20]) ).
cnf(c_0_23,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0 ).
cnf(c_0_24,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_21,c_0_22]),c_0_23]) ).
cnf(c_0_25,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_26,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_21,c_0_24]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
c_0_25 ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26]),c_0_23]),c_0_27]),
[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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.38 % Computer : n009.cluster.edu
% 0.14/5.38 % Model : x86_64 x86_64
% 0.14/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.38 % Memory : 8046.5625MB
% 0.14/5.38 % OS : Linux 6.8.0-71-generic
% 0.14/5.38 % CPULimit : 300
% 0.14/5.38 % WCLimit : 300
% 0.14/5.38 % DateTime : Mon Sep 21 09:22:03 UTC 2026
% 0.14/5.39 % CPUTime :
% 0.14/5.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.46 Running first-order theorem proving
% 0.17/5.46 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
% 0.17/5.69 % Version: 3.5.1
% 0.17/5.69 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/5.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.69 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/5.69 % Starting new_bool_3 with 300s (1) cores
% 0.17/5.69 % Starting new_bool_1 with 300s (1) cores
% 0.17/5.69 % Starting sh5l with 300s (1) cores
% 0.17/5.69 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1405006 completed with status 0
% 0.17/5.69 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/5.69 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/5.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.69 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/5.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.69 % No SInE strategy applied
% 0.17/5.69 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.17/5.69 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.69 % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.69 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/5.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.17/5.69 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.17/5.69 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.17/5.69 % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 1405014 completed with status 0
% 0.17/5.69 % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.17/5.69 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/5.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/5.69 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/5.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/5.69 % No SInE strategy applied
% 0.17/5.69 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.17/5.69 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/5.69 % Starting SubtermCWHack with 136s (1) cores
% 0.17/5.69 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/5.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.17/5.69 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.17/5.69 % Preprocessing time : 0.010 s
% 0.17/5.69 % Presaturation interreduction done
% 0.17/5.69
% 0.17/5.69 % Proof found!
% 0.17/5.69 % SZS status Unsatisfiable
% 0.17/5.69 % SZS output start CNFRefutation
% See solution above
% 0.17/5.69 % Parsed axioms : 442
% 0.17/5.69 % Removed by relevancy pruning/SinE : 0
% 0.17/5.69 % Initial clauses : 442
% 0.17/5.69 % Removed in clause preprocessing : 0
% 0.17/5.69 % Initial clauses in saturation : 442
% 0.17/5.69 % Processed clauses : 825
% 0.17/5.69 % ...of these trivial : 47
% 0.17/5.69 % ...subsumed : 115
% 0.17/5.69 % ...remaining for further processing : 663
% 0.17/5.69 % Other redundant clauses eliminated : 4
% 0.17/5.69 % Clauses deleted for lack of memory : 0
% 0.17/5.69 % Backward-subsumed : 5
% 0.17/5.69 % Backward-rewritten : 41
% 0.17/5.69 % Generated clauses : 1135
% 0.17/5.69 % ...of the previous two non-redundant : 800
% 0.17/5.69 % ...aggressively subsumed : 0
% 0.17/5.69 % Contextual simplify-reflections : 0
% 0.17/5.69 % Paramodulations : 1118
% 0.17/5.69 % Factorizations : 0
% 0.17/5.69 % NegExts : 0
% 0.17/5.69 % Equation resolutions : 17
% 0.17/5.69 % Disequality decompositions : 0
% 0.17/5.69 % Total rewrite steps : 688
% 0.17/5.69 % ...of those cached : 322
% 0.17/5.69 % Propositional unsat checks : 0
% 0.17/5.69 % Propositional check models : 0
% 0.17/5.69 % Propositional check unsatisfiable : 0
% 0.17/5.69 % Propositional clauses : 0
% 0.17/5.69 % Propositional clauses after purity: 0
% 0.17/5.69 % Propositional unsat core size : 0
% 0.17/5.69 % Propositional preprocessing time : 0.000
% 0.17/5.69 % Propositional encoding time : 0.000
% 0.17/5.69 % Propositional solver time : 0.000
% 0.17/5.69 % Success case prop preproc time : 0.000
% 0.17/5.69 % Success case prop encoding time : 0.000
% 0.17/5.69 % Success case prop solver time : 0.000
% 0.17/5.69 % Current number of processed clauses : 259
% 0.17/5.69 % Positive orientable unit clauses : 151
% 0.17/5.69 % Positive unorientable unit clauses: 0
% 0.17/5.69 % Negative unit clauses : 19
% 0.17/5.69 % Non-unit-clauses : 89
% 0.17/5.69 % Current number of unprocessed clauses: 716
% 0.17/5.69 % ...number of literals in the above : 1240
% 0.17/5.69 % Current number of archived formulas : 0
% 0.17/5.69 % Current number of archived clauses : 404
% 0.17/5.69 % Clause-clause subsumption calls (NU) : 17595
% 0.17/5.69 % Rec. Clause-clause subsumption calls : 14639
% 0.17/5.69 % Non-unit clause-clause subsumptions : 81
% 0.17/5.69 % Unit Clause-clause subsumption calls : 711
% 0.17/5.69 % Rewrite failures with RHS unbound : 3
% 0.17/5.69 % BW rewrite match attempts : 487
% 0.17/5.69 % BW rewrite match successes : 60
% 0.17/5.69 % Condensation attempts : 0
% 0.17/5.69 % Condensation successes : 0
% 0.17/5.69 % Termbank termtop insertions : 29911
% 0.17/5.69 % Search garbage collected termcells : 783
% 0.17/5.69
% 0.17/5.69 % -------------------------------------------------
% 0.17/5.69 % User time : 0.114 s
% 0.17/5.69 % System time : 0.011 s
% 0.17/5.69 % Total time : 0.125 s
% 0.17/5.69 % Maximum resident set size: 4232 pages
% 0.17/5.69
% 0.17/5.69 % -------------------------------------------------
% 0.17/5.69 % User time : 0.458 s
% 0.17/5.69 % System time : 0.050 s
% 0.17/5.69 % Total time : 0.509 s
% 0.17/5.69 % Maximum resident set size: 5120 pages
% 0.17/5.69 % E exiting
%------------------------------------------------------------------------------