%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 03:01:04 PM UTC 2026
% Result : Unsatisfiable 8.44s 1.93s
% Output : CNFRefutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 21 unt; 4 nHn; 10 RR)
% Number of literals : 40 ( 13 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Nat_Oop_A_L_Oadd__Suc_0,axiom,
c_plus(c_Suc(X1),X2,tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oop_A_L_Oadd__Suc_0) ).
cnf(cls_SetInterval_Ocard__atMost_0,axiom,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atMost_0) ).
cnf(cls_Nat_Oadd__Suc__right_0,axiom,
c_plus(X1,c_Suc(X2),tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Oadd__Suc__right_0) ).
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ c_lessequals(v_sko__urX(X2),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(cls_Nat_Onot__add__less1_0,axiom,
~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__add__less1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nat_Ole__add2_0,axiom,
c_lessequals(X1,c_plus(X2,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add2_0) ).
cnf(cls_Nat_OlessI_0,axiom,
c_less(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).
cnf(c_0_8,axiom,
c_plus(c_Suc(X1),X2,tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
cls_Nat_Oop_A_L_Oadd__Suc_0 ).
cnf(c_0_9,axiom,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
cls_SetInterval_Ocard__atMost_0 ).
cnf(c_0_10,axiom,
c_plus(X1,c_Suc(X2),tc_nat) = c_Suc(c_plus(X1,X2,tc_nat)),
cls_Nat_Oadd__Suc__right_0 ).
cnf(c_0_11,plain,
( ~ c_lessequals(v_sko__urX(X2),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_Public_ONonce__supply__lemma_0]) ).
cnf(c_0_12,plain,
~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
inference(fof_simplification,[status(thm)],[cls_Nat_Onot__add__less1_0]) ).
cnf(c_0_13,plain,
c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).
cnf(c_0_14,plain,
c_plus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_9]) ).
cnf(c_0_15,plain,
( ~ c_lessequals(v_sko__urX(X2),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg) ),
c_0_11 ).
cnf(c_0_16,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X1 = X2 ),
cls_conjecture_0 ).
cnf(c_0_17,plain,
~ c_less(c_plus(X1,X2,tc_nat),X1,tc_nat),
c_0_12 ).
cnf(c_0_18,plain,
c_plus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) = c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
c_lessequals(X1,c_plus(X2,X1,tc_nat),tc_nat),
cls_Nat_Ole__add2_0 ).
cnf(c_0_21,plain,
~ c_less(c_plus(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),X2,tc_nat),X1,tc_nat),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_plus(X1,v_sko__urX(v_evs),tc_nat) = X2 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,axiom,
c_less(X1,c_Suc(X1),tc_nat),
cls_Nat_OlessI_0 ).
cnf(c_0_24,negated_conjecture,
( ~ c_less(X1,X2,tc_nat)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_23,c_0_9]) ).
cnf(c_0_26,negated_conjecture,
c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_27,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV281-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n002.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 08:40:32 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 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
% 8.44/1.93 % Version: 3.5.1
% 8.44/1.93 % Preprocessing class: FMLMSMSMSSSNFFN.
% 8.44/1.93 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.44/1.93 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.44/1.93 % Starting new_bool_3 with 300s (1) cores
% 8.44/1.93 % Starting new_bool_1 with 300s (1) cores
% 8.44/1.93 % Starting sh5l with 300s (1) cores
% 8.44/1.93 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2896976 completed with status 0
% 8.44/1.93 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.44/1.93 % Preprocessing class: FMLMSMSMSSSNFFN.
% 8.44/1.93 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.44/1.93 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.44/1.93 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.44/1.93 % No SInE strategy applied
% 8.44/1.93 % Search class: FGHSM-SMLM32-DFFFFFNN
% 8.44/1.93 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 8.44/1.93 % Starting SubtermCWHack with 136s (1) cores
% 8.44/1.93 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.44/1.93 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 8.44/1.93 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 8.44/1.93 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 8.44/1.93 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2896987 completed with status 0
% 8.44/1.93 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.44/1.93 % Preprocessing class: FMLMSMSMSSSNFFN.
% 8.44/1.93 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.44/1.93 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.44/1.93 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.44/1.93 % No SInE strategy applied
% 8.44/1.93 % Search class: FGHSM-SMLM32-DFFFFFNN
% 8.44/1.93 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 8.44/1.93 % Starting SubtermCWHack with 136s (1) cores
% 8.44/1.93 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.44/1.93 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 8.44/1.93 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 8.44/1.93 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 8.44/1.93 % Preprocessing time : 0.029 s
% 8.44/1.93 % Presaturation interreduction done
% 8.44/1.93
% 8.44/1.93 % Proof found!
% 8.44/1.93 % SZS status Unsatisfiable
% 8.44/1.93 % SZS output start CNFRefutation
% See solution above
% 8.44/1.93 % Parsed axioms : 2938
% 8.44/1.93 % Removed by relevancy pruning/SinE : 0
% 8.44/1.93 % Initial clauses : 2938
% 8.44/1.93 % Removed in clause preprocessing : 12
% 8.44/1.93 % Initial clauses in saturation : 2926
% 8.44/1.93 % Processed clauses : 8395
% 8.44/1.93 % ...of these trivial : 33
% 8.44/1.93 % ...subsumed : 2957
% 8.44/1.93 % ...remaining for further processing : 5405
% 8.44/1.93 % Other redundant clauses eliminated : 894
% 8.44/1.93 % Clauses deleted for lack of memory : 0
% 8.44/1.93 % Backward-subsumed : 28
% 8.44/1.93 % Backward-rewritten : 97
% 8.44/1.93 % Generated clauses : 20390
% 8.44/1.93 % ...of the previous two non-redundant : 17913
% 8.44/1.93 % ...aggressively subsumed : 0
% 8.44/1.93 % Contextual simplify-reflections : 7
% 8.44/1.93 % Paramodulations : 19445
% 8.44/1.93 % Factorizations : 0
% 8.44/1.93 % NegExts : 0
% 8.44/1.93 % Equation resolutions : 945
% 8.44/1.93 % Disequality decompositions : 0
% 8.44/1.93 % Total rewrite steps : 4836
% 8.44/1.93 % ...of those cached : 3683
% 8.44/1.93 % Propositional unsat checks : 1
% 8.44/1.93 % Propositional check models : 1
% 8.44/1.93 % Propositional check unsatisfiable : 0
% 8.44/1.93 % Propositional clauses : 0
% 8.44/1.93 % Propositional clauses after purity: 0
% 8.44/1.93 % Propositional unsat core size : 0
% 8.44/1.93 % Propositional preprocessing time : 0.000
% 8.44/1.93 % Propositional encoding time : 0.009
% 8.44/1.93 % Propositional solver time : 0.009
% 8.44/1.93 % Success case prop preproc time : 0.000
% 8.44/1.93 % Success case prop encoding time : 0.000
% 8.44/1.93 % Success case prop solver time : 0.000
% 8.44/1.93 % Current number of processed clauses : 2518
% 8.44/1.93 % Positive orientable unit clauses : 627
% 8.44/1.93 % Positive unorientable unit clauses: 20
% 8.44/1.93 % Negative unit clauses : 403
% 8.44/1.93 % Non-unit-clauses : 1468
% 8.44/1.93 % Current number of unprocessed clauses: 15196
% 8.44/1.93 % ...number of literals in the above : 38000
% 8.44/1.93 % Current number of archived formulas : 0
% 8.44/1.93 % Current number of archived clauses : 2897
% 8.44/1.93 % Clause-clause subsumption calls (NU) : 3267408
% 8.44/1.93 % Rec. Clause-clause subsumption calls : 2245879
% 8.44/1.93 % Non-unit clause-clause subsumptions : 2240
% 8.44/1.93 % Unit Clause-clause subsumption calls : 148764
% 8.44/1.93 % Rewrite failures with RHS unbound : 0
% 8.44/1.93 % BW rewrite match attempts : 838
% 8.44/1.93 % BW rewrite match successes : 75
% 8.44/1.93 % Condensation attempts : 0
% 8.44/1.93 % Condensation successes : 0
% 8.44/1.93 % Termbank termtop insertions : 357189
% 8.44/1.93 % Search garbage collected termcells : 4234
% 8.44/1.93
% 8.44/1.93 % -------------------------------------------------
% 8.44/1.93 % User time : 1.176 s
% 8.44/1.93 % System time : 0.052 s
% 8.44/1.93 % Total time : 1.228 s
% 8.44/1.93 % Maximum resident set size: 8860 pages
% 8.44/1.93
% 8.44/1.93 % -------------------------------------------------
% 8.44/1.93 % User time : 5.529 s
% 8.44/1.93 % System time : 0.225 s
% 8.44/1.93 % Total time : 5.754 s
% 8.44/1.93 % Maximum resident set size: 6400 pages
% 8.44/1.93 % E exiting
%------------------------------------------------------------------------------