%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV733-1 : 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 : n005.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 2.55s 0.94s
% Output : CNFRefutation 2.55s
% 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 : 16 ( 16 usr; 8 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_conjecture_3,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,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_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
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/sandbox/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_3 ).
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_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
cls_conjecture_2 ).
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_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),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_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
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_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),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_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),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_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),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
% 0.00/0.02 % Problem : SWV733-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:22:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.45 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
% 2.55/0.94 % Version: 3.5.1
% 2.55/0.94 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.55/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.55/0.94 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.55/0.94 % Starting new_bool_3 with 300s (1) cores
% 2.55/0.94 % Starting new_bool_1 with 300s (1) cores
% 2.55/0.94 % Starting sh5l with 300s (1) cores
% 2.55/0.94 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3114248 completed with status 0
% 2.55/0.94 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.55/0.94 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.55/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.55/0.94 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.55/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.55/0.94 % No SInE strategy applied
% 2.55/0.94 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.55/0.94 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.55/0.94 % Starting SubtermCWHack with 136s (1) cores
% 2.55/0.94 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.55/0.94 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 2.55/0.94 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 2.55/0.94 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 2.55/0.94 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3114256 completed with status 0
% 2.55/0.94 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.55/0.94 % Preprocessing class: FSLSSMSMSSSNFFN.
% 2.55/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.55/0.94 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.55/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.55/0.94 % No SInE strategy applied
% 2.55/0.94 % Search class: FGHSM-FSLM32-DFFFFFNN
% 2.55/0.94 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 2.55/0.94 % Starting SubtermCWHack with 136s (1) cores
% 2.55/0.94 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.55/0.94 % Preprocessing time : 0.017 s
% 2.55/0.94 % Presaturation interreduction done
% 2.55/0.94
% 2.55/0.94 % Proof found!
% 2.55/0.94 % SZS status Unsatisfiable
% 2.55/0.94 % SZS output start CNFRefutation
% See solution above
% 2.55/0.94 % Parsed axioms : 748
% 2.55/0.94 % Removed by relevancy pruning/SinE : 0
% 2.55/0.94 % Initial clauses : 748
% 2.55/0.94 % Removed in clause preprocessing : 4
% 2.55/0.94 % Initial clauses in saturation : 744
% 2.55/0.94 % Processed clauses : 1586
% 2.55/0.94 % ...of these trivial : 58
% 2.55/0.94 % ...subsumed : 277
% 2.55/0.94 % ...remaining for further processing : 1251
% 2.55/0.94 % Other redundant clauses eliminated : 33
% 2.55/0.94 % Clauses deleted for lack of memory : 0
% 2.55/0.94 % Backward-subsumed : 12
% 2.55/0.94 % Backward-rewritten : 25
% 2.55/0.94 % Generated clauses : 5623
% 2.55/0.94 % ...of the previous two non-redundant : 4280
% 2.55/0.94 % ...aggressively subsumed : 0
% 2.55/0.94 % Contextual simplify-reflections : 0
% 2.55/0.94 % Paramodulations : 5565
% 2.55/0.94 % Factorizations : 0
% 2.55/0.94 % NegExts : 0
% 2.55/0.94 % Equation resolutions : 58
% 2.55/0.94 % Disequality decompositions : 0
% 2.55/0.94 % Total rewrite steps : 2474
% 2.55/0.94 % ...of those cached : 1612
% 2.55/0.94 % Propositional unsat checks : 0
% 2.55/0.94 % Propositional check models : 0
% 2.55/0.94 % Propositional check unsatisfiable : 0
% 2.55/0.94 % Propositional clauses : 0
% 2.55/0.94 % Propositional clauses after purity: 0
% 2.55/0.94 % Propositional unsat core size : 0
% 2.55/0.94 % Propositional preprocessing time : 0.000
% 2.55/0.94 % Propositional encoding time : 0.000
% 2.55/0.94 % Propositional solver time : 0.000
% 2.55/0.94 % Success case prop preproc time : 0.000
% 2.55/0.94 % Success case prop encoding time : 0.000
% 2.55/0.94 % Success case prop solver time : 0.000
% 2.55/0.94 % Current number of processed clauses : 631
% 2.55/0.94 % Positive orientable unit clauses : 203
% 2.55/0.94 % Positive unorientable unit clauses: 5
% 2.55/0.94 % Negative unit clauses : 67
% 2.55/0.94 % Non-unit-clauses : 356
% 2.55/0.94 % Current number of unprocessed clauses: 4012
% 2.55/0.94 % ...number of literals in the above : 9044
% 2.55/0.94 % Current number of archived formulas : 0
% 2.55/0.94 % Current number of archived clauses : 622
% 2.55/0.94 % Clause-clause subsumption calls (NU) : 48663
% 2.55/0.94 % Rec. Clause-clause subsumption calls : 30408
% 2.55/0.94 % Non-unit clause-clause subsumptions : 123
% 2.55/0.94 % Unit Clause-clause subsumption calls : 776
% 2.55/0.94 % Rewrite failures with RHS unbound : 2
% 2.55/0.94 % BW rewrite match attempts : 463
% 2.55/0.94 % BW rewrite match successes : 137
% 2.55/0.94 % Condensation attempts : 0
% 2.55/0.94 % Condensation successes : 0
% 2.55/0.94 % Termbank termtop insertions : 120071
% 2.55/0.94 % Search garbage collected termcells : 1271
% 2.55/0.94
% 2.55/0.94 % -------------------------------------------------
% 2.55/0.94 % User time : 0.350 s
% 2.55/0.94 % System time : 0.031 s
% 2.55/0.94 % Total time : 0.380 s
% 2.55/0.94 % Maximum resident set size: 4956 pages
% 2.55/0.94
% 2.55/0.94 % -------------------------------------------------
% 2.55/0.94 % User time : 1.661 s
% 2.55/0.94 % System time : 0.125 s
% 2.55/0.94 % Total time : 1.787 s
% 2.55/0.94 % Maximum resident set size: 5376 pages
% 2.55/0.94 % E exiting
%------------------------------------------------------------------------------