%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV734-1 : 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 : 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 02:59:50 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.78s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 15 unt; 0 nHn; 21 RR)
% Number of literals : 44 ( 2 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 46 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_mem__def_0,axiom,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_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/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_mem__def_1,axiom,
( ~ hBOOL(hAPP(X2,X1))
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_parts__cut_0,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(c_0_8,plain,
( ~ c_in(X2,X1,X3)
| hBOOL(hAPP(X1,X2)) ),
inference(fof_simplification,[status(thm)],[cls_mem__def_0]) ).
cnf(c_0_9,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_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_8 ).
cnf(c_0_12,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_4 ).
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_9 ).
cnf(c_0_14,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_3 ).
cnf(c_0_15,plain,
( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_parts__cut_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_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),hAPP(c_Message_Omsg_OKey,v_K))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).
cnf(c_0_20,plain,
( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
c_0_15 ).
cnf(c_0_21,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Un__empty__left_0 ).
cnf(c_0_23,negated_conjecture,
hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),v_X)),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
c_0_19 ).
cnf(c_0_25,negated_conjecture,
( ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
c_in(v_X,c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),X1),
inference(spm,[status(thm)],[c_0_16,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV734-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.57 % Computer : n017.cluster.edu
% 0.12/0.57 % Model : x86_64 x86_64
% 0.12/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.57 % Memory : 8046.5625MB
% 0.12/0.57 % OS : Linux 6.8.0-71-generic
% 0.12/0.57 % CPULimit : 300
% 0.12/0.57 % WCLimit : 300
% 0.12/0.57 % DateTime : Mon Sep 21 09:17:42 UTC 2026
% 0.12/0.57 % CPUTime :
% 0.12/0.57 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.62 Running first-order theorem proving
% 0.15/0.62 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
% 0.15/0.78 % Version: 3.5.1
% 0.15/0.78 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.78 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.78 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.78 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.78 % Starting sh5l with 300s (1) cores
% 0.15/0.78 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1976952 completed with status 0
% 0.15/0.78 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.78 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.78 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.78 % No SInE strategy applied
% 0.15/0.78 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.15/0.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.78 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.78 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.78 % Starting C07_19_nc_SAT001_MinMin_p005000_rr with 354s (1) cores
% 0.15/0.78 % Starting U----_206c_10_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.78 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.78 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1976960 completed with status 0
% 0.15/0.78 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.78 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.78 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.78 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.78 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.78 % No SInE strategy applied
% 0.15/0.78 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.15/0.78 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.78 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.78 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.78 % Preprocessing time : 0.008 s
% 0.15/0.78 % Presaturation interreduction done
% 0.15/0.78
% 0.15/0.78 % Proof found!
% 0.15/0.78 % SZS status Unsatisfiable
% 0.15/0.78 % SZS output start CNFRefutation
% See solution above
% 0.15/0.78 % Parsed axioms : 488
% 0.15/0.78 % Removed by relevancy pruning/SinE : 0
% 0.15/0.78 % Initial clauses : 488
% 0.15/0.78 % Removed in clause preprocessing : 1
% 0.15/0.78 % Initial clauses in saturation : 487
% 0.15/0.78 % Processed clauses : 1059
% 0.15/0.78 % ...of these trivial : 31
% 0.15/0.78 % ...subsumed : 182
% 0.15/0.78 % ...remaining for further processing : 846
% 0.15/0.78 % Other redundant clauses eliminated : 18
% 0.15/0.78 % Clauses deleted for lack of memory : 0
% 0.15/0.78 % Backward-subsumed : 17
% 0.15/0.78 % Backward-rewritten : 17
% 0.15/0.78 % Generated clauses : 3209
% 0.15/0.78 % ...of the previous two non-redundant : 2427
% 0.15/0.78 % ...aggressively subsumed : 0
% 0.15/0.78 % Contextual simplify-reflections : 2
% 0.15/0.78 % Paramodulations : 3165
% 0.15/0.78 % Factorizations : 0
% 0.15/0.78 % NegExts : 0
% 0.15/0.78 % Equation resolutions : 44
% 0.15/0.78 % Disequality decompositions : 0
% 0.15/0.78 % Total rewrite steps : 1241
% 0.15/0.78 % ...of those cached : 778
% 0.15/0.78 % Propositional unsat checks : 0
% 0.15/0.78 % Propositional check models : 0
% 0.15/0.78 % Propositional check unsatisfiable : 0
% 0.15/0.78 % Propositional clauses : 0
% 0.15/0.78 % Propositional clauses after purity: 0
% 0.15/0.78 % Propositional unsat core size : 0
% 0.15/0.78 % Propositional preprocessing time : 0.000
% 0.15/0.78 % Propositional encoding time : 0.000
% 0.15/0.78 % Propositional solver time : 0.000
% 0.15/0.78 % Success case prop preproc time : 0.000
% 0.15/0.78 % Success case prop encoding time : 0.000
% 0.15/0.78 % Success case prop solver time : 0.000
% 0.15/0.78 % Current number of processed clauses : 435
% 0.15/0.78 % Positive orientable unit clauses : 148
% 0.15/0.78 % Positive unorientable unit clauses: 3
% 0.15/0.78 % Negative unit clauses : 52
% 0.15/0.78 % Non-unit-clauses : 232
% 0.15/0.78 % Current number of unprocessed clauses: 2217
% 0.15/0.78 % ...number of literals in the above : 4729
% 0.15/0.78 % Current number of archived formulas : 0
% 0.15/0.78 % Current number of archived clauses : 412
% 0.15/0.78 % Clause-clause subsumption calls (NU) : 20390
% 0.15/0.78 % Rec. Clause-clause subsumption calls : 18971
% 0.15/0.78 % Non-unit clause-clause subsumptions : 85
% 0.15/0.78 % Unit Clause-clause subsumption calls : 743
% 0.15/0.78 % Rewrite failures with RHS unbound : 0
% 0.15/0.78 % BW rewrite match attempts : 347
% 0.15/0.78 % BW rewrite match successes : 87
% 0.15/0.78 % Condensation attempts : 0
% 0.15/0.78 % Condensation successes : 0
% 0.15/0.78 % Termbank termtop insertions : 67991
% 0.15/0.78 % Search garbage collected termcells : 808
% 0.15/0.78
% 0.15/0.78 % -------------------------------------------------
% 0.15/0.78 % User time : 0.121 s
% 0.15/0.78 % System time : 0.009 s
% 0.15/0.78 % Total time : 0.130 s
% 0.15/0.78 % Maximum resident set size: 4496 pages
% 0.15/0.78
% 0.15/0.78 % -------------------------------------------------
% 0.15/0.78 % User time : 0.580 s
% 0.15/0.78 % System time : 0.049 s
% 0.15/0.78 % Total time : 0.629 s
% 0.15/0.78 % Maximum resident set size: 5120 pages
% 0.15/0.78 % E exiting
%------------------------------------------------------------------------------