%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV283-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:54:13 PM UTC 2026
% Result : Unsatisfiable 1.47s 0.67s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 5 unt; 5 nHn; 16 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 44 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Message_Omsg__Nonce__supply_0,axiom,
( ~ c_lessequals(v_sko__upX(X2),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Omsg__Nonce__supply_0) ).
cnf(cls_conjecture_9,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_lessequals(v_x,X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nat_Oadd__leE_1,axiom,
( ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_1) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_lessequals(X2,v_xd(X2),tc_nat)
| c_lessequals(X1,v_xd(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Nat_Oadd__leE_0,axiom,
( ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__leE_0) ).
cnf(c_0_6,plain,
( ~ c_lessequals(v_sko__upX(X2),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Message_Omsg__Nonce__supply_0]) ).
cnf(c_0_7,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X2)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) ),
cls_conjecture_9 ).
cnf(c_0_8,negated_conjecture,
( ~ c_lessequals(v_x,X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_9,plain,
( ~ c_lessequals(v_sko__upX(X2),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_insert(X2,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
c_0_6 ).
cnf(c_0_10,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Message_Oparts(c_insert(v_xc,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(ef,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_Nat_Oadd__leE_1]) ).
cnf(c_0_12,negated_conjecture,
( c_lessequals(X2,v_xd(X2),tc_nat)
| c_lessequals(X1,v_xd(X1),tc_nat) ),
cls_conjecture_4 ).
cnf(c_0_13,negated_conjecture,
( ~ c_lessequals(v_x,X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_list),tc_Message_Omsg) ),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
( ~ c_lessequals(v_sko__upX(v_xc),v_xd(X1),tc_nat)
| c_in(c_Message_Omsg_ONonce(v_xd(X1)),c_Event_Oused(v_list),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
c_lessequals(X1,v_xd(X1),tc_nat),
inference(ef,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(fof_simplification,[status(thm)],[cls_Nat_Oadd__leE_0]) ).
cnf(c_0_18,negated_conjecture,
( ~ c_lessequals(v_x,v_xd(X1),tc_nat)
| ~ c_lessequals(v_sko__upX(v_xc),v_xd(X1),tc_nat) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
c_lessequals(X1,v_xd(c_plus(X1,X2,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( ~ c_lessequals(c_plus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
c_0_17 ).
cnf(c_0_21,negated_conjecture,
~ c_lessequals(v_x,v_xd(c_plus(v_sko__upX(v_xc),X1,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
c_lessequals(X1,v_xd(c_plus(X2,X1,tc_nat)),tc_nat),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV283-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n004.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 08:38:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 1.47/0.67 % Version: 3.5.1
% 1.47/0.67 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.47/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.47/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.47/0.67 % Starting new_bool_3 with 300s (1) cores
% 1.47/0.67 % Starting new_bool_1 with 300s (1) cores
% 1.47/0.67 % Starting sh5l with 300s (1) cores
% 1.47/0.67 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2736989 completed with status 0
% 1.47/0.67 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.47/0.67 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.47/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.47/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.47/0.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.47/0.67 % No SInE strategy applied
% 1.47/0.67 % Search class: FGHSM-SSLM32-MFFFFFNN
% 1.47/0.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.47/0.67 % Starting SubtermCWHack with 136s (1) cores
% 1.47/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.47/0.67 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.47/0.67 % Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S5PRR_RG_S070I with 136s (1) cores
% 1.47/0.67 % Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 1.47/0.67 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2737007 completed with status 0
% 1.47/0.67 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.47/0.67 % Preprocessing class: FMLMSMSMSSSNFFN.
% 1.47/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.47/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.47/0.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.47/0.67 % No SInE strategy applied
% 1.47/0.67 % Search class: FGHSM-SSLM32-MFFFFFNN
% 1.47/0.67 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.47/0.67 % Starting SubtermCWHack with 136s (1) cores
% 1.47/0.67 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.47/0.67 % Preprocessing time : 0.007 s
% 1.47/0.67 % Presaturation interreduction done
% 1.47/0.67
% 1.47/0.67 % Proof found!
% 1.47/0.67 % SZS status Unsatisfiable
% 1.47/0.67 % SZS output start CNFRefutation
% See solution above
% 1.47/0.67 % Parsed axioms : 1478
% 1.47/0.67 % Removed by relevancy pruning/SinE : 0
% 1.47/0.67 % Initial clauses : 1478
% 1.47/0.67 % Removed in clause preprocessing : 3
% 1.47/0.67 % Initial clauses in saturation : 1475
% 1.47/0.67 % Processed clauses : 5660
% 1.47/0.67 % ...of these trivial : 8
% 1.47/0.67 % ...subsumed : 2735
% 1.47/0.67 % ...remaining for further processing : 2917
% 1.47/0.67 % Other redundant clauses eliminated : 31
% 1.47/0.67 % Clauses deleted for lack of memory : 0
% 1.47/0.67 % Backward-subsumed : 13
% 1.47/0.67 % Backward-rewritten : 10
% 1.47/0.67 % Generated clauses : 4824
% 1.47/0.67 % ...of the previous two non-redundant : 3866
% 1.47/0.67 % ...aggressively subsumed : 0
% 1.47/0.67 % Contextual simplify-reflections : 0
% 1.47/0.67 % Paramodulations : 4738
% 1.47/0.67 % Factorizations : 4
% 1.47/0.67 % NegExts : 0
% 1.47/0.67 % Equation resolutions : 82
% 1.47/0.67 % Disequality decompositions : 0
% 1.47/0.67 % Total rewrite steps : 855
% 1.47/0.67 % ...of those cached : 729
% 1.47/0.67 % Propositional unsat checks : 0
% 1.47/0.67 % Propositional check models : 0
% 1.47/0.67 % Propositional check unsatisfiable : 0
% 1.47/0.67 % Propositional clauses : 0
% 1.47/0.67 % Propositional clauses after purity: 0
% 1.47/0.67 % Propositional unsat core size : 0
% 1.47/0.67 % Propositional preprocessing time : 0.000
% 1.47/0.67 % Propositional encoding time : 0.000
% 1.47/0.67 % Propositional solver time : 0.000
% 1.47/0.67 % Success case prop preproc time : 0.000
% 1.47/0.67 % Success case prop encoding time : 0.000
% 1.47/0.67 % Success case prop solver time : 0.000
% 1.47/0.67 % Current number of processed clauses : 1476
% 1.47/0.67 % Positive orientable unit clauses : 202
% 1.47/0.67 % Positive unorientable unit clauses: 0
% 1.47/0.67 % Negative unit clauses : 59
% 1.47/0.67 % Non-unit-clauses : 1215
% 1.47/0.67 % Current number of unprocessed clauses: 1084
% 1.47/0.67 % ...number of literals in the above : 2741
% 1.47/0.67 % Current number of archived formulas : 0
% 1.47/0.67 % Current number of archived clauses : 1442
% 1.47/0.67 % Clause-clause subsumption calls (NU) : 1719196
% 1.47/0.67 % Rec. Clause-clause subsumption calls : 1642965
% 1.47/0.67 % Non-unit clause-clause subsumptions : 2692
% 1.47/0.67 % Unit Clause-clause subsumption calls : 18626
% 1.47/0.67 % Rewrite failures with RHS unbound : 0
% 1.47/0.67 % BW rewrite match attempts : 78
% 1.47/0.67 % BW rewrite match successes : 9
% 1.47/0.67 % Condensation attempts : 0
% 1.47/0.67 % Condensation successes : 0
% 1.47/0.67 % Termbank termtop insertions : 87850
% 1.47/0.67 % Search garbage collected termcells : 1811
% 1.47/0.67
% 1.47/0.67 % -------------------------------------------------
% 1.47/0.67 % User time : 0.217 s
% 1.47/0.67 % System time : 0.010 s
% 1.47/0.67 % Total time : 0.227 s
% 1.47/0.67 % Maximum resident set size: 5968 pages
% 1.47/0.67
% 1.47/0.67 % -------------------------------------------------
% 1.47/0.67 % User time : 0.892 s
% 1.47/0.67 % System time : 0.055 s
% 1.47/0.67 % Total time : 0.946 s
% 1.47/0.67 % Maximum resident set size: 5376 pages
% 1.47/0.67 % E exiting
%------------------------------------------------------------------------------