%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV789-1 : 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 : n026.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 03:06:54 PM UTC 2026
% Result : Unsatisfiable 0.44s 0.77s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_emptyE_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_set__empty_1,axiom,
c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty_1) ).
cnf(c_0_3,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(fof_simplification,[status(thm)],[cls_emptyE_0]) ).
cnf(c_0_4,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,v_A,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_5,axiom,
c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_set__empty_1 ).
cnf(c_0_6,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
c_0_3 ).
cnf(c_0_7,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV789-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n026.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 09:27:51 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.51 Running first-order theorem proving
% 0.16/0.51 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
% 0.44/0.77 % Version: 3.5.1
% 0.44/0.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.77 % Starting new_bool_3 with 300s (1) cores
% 0.44/0.77 % Starting new_bool_1 with 300s (1) cores
% 0.44/0.77 % Starting sh5l with 300s (1) cores
% 0.44/0.77 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1932846 completed with status 0
% 0.44/0.77 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.44/0.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.44/0.77 % No SInE strategy applied
% 0.44/0.77 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.44/0.77 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.77 % Starting SubtermCWHack with 136s (1) cores
% 0.44/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.44/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.44/0.77 % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 113s (1) cores
% 0.44/0.77 % Starting U----_206c_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.44/0.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1932853 completed with status 0
% 0.44/0.77 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.44/0.77 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.44/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.44/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.44/0.77 % No SInE strategy applied
% 0.44/0.77 % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.44/0.77 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.44/0.77 % Starting SubtermCWHack with 136s (1) cores
% 0.44/0.77 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.44/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 113s (1) cores
% 0.44/0.77 % Preprocessing time : 0.015 s
% 0.44/0.77 % Presaturation interreduction done
% 0.44/0.77
% 0.44/0.77 % Proof found!
% 0.44/0.77 % SZS status Unsatisfiable
% 0.44/0.77 % SZS output start CNFRefutation
% See solution above
% 0.44/0.77 % Parsed axioms : 631
% 0.44/0.77 % Removed by relevancy pruning/SinE : 0
% 0.44/0.77 % Initial clauses : 631
% 0.44/0.77 % Removed in clause preprocessing : 1
% 0.44/0.77 % Initial clauses in saturation : 630
% 0.44/0.77 % Processed clauses : 122
% 0.44/0.77 % ...of these trivial : 8
% 0.44/0.77 % ...subsumed : 27
% 0.44/0.77 % ...remaining for further processing : 87
% 0.44/0.77 % Other redundant clauses eliminated : 0
% 0.44/0.77 % Clauses deleted for lack of memory : 0
% 0.44/0.77 % Backward-subsumed : 0
% 0.44/0.77 % Backward-rewritten : 2
% 0.44/0.77 % Generated clauses : 0
% 0.44/0.77 % ...of the previous two non-redundant : 1
% 0.44/0.77 % ...aggressively subsumed : 0
% 0.44/0.77 % Contextual simplify-reflections : 0
% 0.44/0.77 % Paramodulations : 0
% 0.44/0.77 % Factorizations : 0
% 0.44/0.77 % NegExts : 0
% 0.44/0.77 % Equation resolutions : 0
% 0.44/0.77 % Disequality decompositions : 0
% 0.44/0.77 % Total rewrite steps : 11
% 0.44/0.77 % ...of those cached : 1
% 0.44/0.77 % Propositional unsat checks : 0
% 0.44/0.77 % Propositional check models : 0
% 0.44/0.77 % Propositional check unsatisfiable : 0
% 0.44/0.77 % Propositional clauses : 0
% 0.44/0.77 % Propositional clauses after purity: 0
% 0.44/0.77 % Propositional unsat core size : 0
% 0.44/0.77 % Propositional preprocessing time : 0.000
% 0.44/0.77 % Propositional encoding time : 0.000
% 0.44/0.77 % Propositional solver time : 0.000
% 0.44/0.77 % Success case prop preproc time : 0.000
% 0.44/0.77 % Success case prop encoding time : 0.000
% 0.44/0.77 % Success case prop solver time : 0.000
% 0.44/0.77 % Current number of processed clauses : 85
% 0.44/0.77 % Positive orientable unit clauses : 37
% 0.44/0.77 % Positive unorientable unit clauses: 0
% 0.44/0.77 % Negative unit clauses : 34
% 0.44/0.77 % Non-unit-clauses : 14
% 0.44/0.77 % Current number of unprocessed clauses: 509
% 0.44/0.77 % ...number of literals in the above : 1070
% 0.44/0.77 % Current number of archived formulas : 0
% 0.44/0.77 % Current number of archived clauses : 3
% 0.44/0.77 % Clause-clause subsumption calls (NU) : 63
% 0.44/0.77 % Rec. Clause-clause subsumption calls : 57
% 0.44/0.77 % Non-unit clause-clause subsumptions : 4
% 0.44/0.77 % Unit Clause-clause subsumption calls : 254
% 0.44/0.77 % Rewrite failures with RHS unbound : 0
% 0.44/0.77 % BW rewrite match attempts : 2
% 0.44/0.77 % BW rewrite match successes : 2
% 0.44/0.77 % Condensation attempts : 0
% 0.44/0.77 % Condensation successes : 0
% 0.44/0.77 % Termbank termtop insertions : 18662
% 0.44/0.77 % Search garbage collected termcells : 1069
% 0.44/0.77
% 0.44/0.77 % -------------------------------------------------
% 0.44/0.77 % User time : 0.029 s
% 0.44/0.77 % System time : 0.011 s
% 0.44/0.77 % Total time : 0.040 s
% 0.44/0.77 % Maximum resident set size: 4384 pages
% 0.44/0.77
% 0.44/0.77 % -------------------------------------------------
% 0.44/0.77 % User time : 0.107 s
% 0.44/0.77 % System time : 0.035 s
% 0.44/0.77 % Total time : 0.142 s
% 0.44/0.77 % Maximum resident set size: 5376 pages
% 0.44/0.77 % E exiting
%------------------------------------------------------------------------------