%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV282-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:21:26 PM UTC 2026
% Result : Unsatisfiable 7.71s 5.72s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of clauses : 81 ( 32 unt; 38 nHn; 39 RR)
% Number of literals : 184 ( 110 equ; 33 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 101 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Public_ONonce__supply__lemma_0,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X2),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( X1 = X2
| X3 = X2
| X1 = X3
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Nat_Odiff__is__0__eq_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_minus(X1,X2,tc_nat) != c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__is__0__eq_0) ).
cnf(cls_Nat_Odiff__self__eq__0_0,axiom,
c_minus(X1,X1,tc_nat) = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).
cnf(cls_Binomial_Obinomial__1_0,axiom,
c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_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/sandbox2/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
cnf(cls_Nat_OOne__nat__def_0,axiom,
c_1 = c_Suc(c_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OOne__nat__def_0) ).
cnf(cls_Binomial_Obinomial__Suc__Suc_0,axiom,
c_Binomial_Obinomial(c_Suc(X1),c_Suc(X2)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Suc(X2)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__Suc_0) ).
cnf(cls_Nat_Ole__add1_0,axiom,
c_lessequals(X1,c_plus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
cnf(cls_Nat_OlessI_0,axiom,
c_less(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
cnf(cls_Binomial_Obinomial__n__0_0,axiom,
c_Binomial_Obinomial(X1,c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).
cnf(cls_Nat_Onot__add__less2_0,axiom,
~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
cnf(cls_Nat_Oless__Suc__eq__le_1,axiom,
( c_less(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).
cnf(cls_Nat_Onat__add__left__cancel__le_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onat__add__left__cancel__le_0) ).
cnf(c_0_14,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X2),X1,tc_nat) ),
cls_Public_ONonce__supply__lemma_0 ).
cnf(c_0_15,negated_conjecture,
( X1 = X2
| X3 = X2
| X1 = X3
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg) ),
cls_conjecture_0 ).
cnf(c_0_16,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_minus(X1,X2,tc_nat) != c_0 ),
cls_Nat_Odiff__is__0__eq_0 ).
cnf(c_0_17,axiom,
c_minus(X1,X1,tc_nat) = c_0,
cls_Nat_Odiff__self__eq__0_0 ).
cnf(c_0_18,negated_conjecture,
( X1 = X2
| X1 = X3
| X2 = X3
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
c_lessequals(X1,X1,tc_nat),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = X2
| X2 = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_22,axiom,
c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
cls_Binomial_Obinomial__1_0 ).
cnf(c_0_23,axiom,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
cls_SetInterval_Ocard__atMost_0 ).
cnf(c_0_24,axiom,
c_1 = c_Suc(c_0),
cls_Nat_OOne__nat__def_0 ).
cnf(c_0_25,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = X1
| v_sko__urX(v_evs) = X1
| 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_19]) ).
cnf(c_0_26,axiom,
c_Binomial_Obinomial(c_Suc(X1),c_Suc(X2)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Suc(X2)),tc_nat),
cls_Binomial_Obinomial__Suc__Suc_0 ).
cnf(c_0_27,plain,
c_Binomial_Obinomial(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs_H_H) = X1
| ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_30,axiom,
c_lessequals(X1,c_plus(X1,X2,tc_nat),tc_nat),
cls_Nat_Ole__add1_0 ).
cnf(c_0_31,axiom,
c_less(X1,c_Suc(X1),tc_nat),
cls_Nat_OlessI_0 ).
cnf(c_0_32,plain,
c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)) = c_plus(c_Binomial_Obinomial(X1,X2),c_Binomial_Obinomial(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat)),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_23]),c_0_23]),c_0_23]) ).
cnf(c_0_33,plain,
c_Binomial_Obinomial(X1,c_1) = X1,
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,axiom,
c_Binomial_Obinomial(X1,c_0) = c_1,
cls_Binomial_Obinomial__n__0_0 ).
cnf(c_0_35,axiom,
~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
cls_Nat_Onot__add__less2_0 ).
cnf(c_0_36,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_38,plain,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_plus(c_1,X1,tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_33]),c_0_34]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| ~ c_less(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
c_less(X1,c_plus(c_1,X1,tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_plus(c_1,v_sko__urX(v_evs),tc_nat),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( v_sko__urX(v_evs) = X1
| v_sko__urX(v_evs) = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X2,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_43,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat) ),
inference(spm,[status(thm)],[c_0_30,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| X1 = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = X1
| X1 = v_sko__urX(v_evs_H_H)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_44]) ).
cnf(c_0_46,axiom,
( c_less(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_Nat_Oless__Suc__eq__le_1 ).
cnf(c_0_47,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_48,plain,
( c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rw,[status(thm)],[c_0_46,c_0_23]) ).
cnf(c_0_49,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| ~ c_less(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_35,c_0_47]) ).
cnf(c_0_50,plain,
( c_less(X1,c_plus(c_1,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rw,[status(thm)],[c_0_48,c_0_38]) ).
cnf(c_0_51,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_plus(X1,X2,tc_nat),c_plus(X1,X3,tc_nat),tc_nat) ),
cls_Nat_Onat__add__left__cancel__le_0 ).
cnf(c_0_52,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,v_sko__urX(v_evs),tc_nat),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(spm,[status(thm)],[c_0_49,c_0_40]) ).
cnf(c_0_53,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| X1 = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs) = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_54,plain,
~ c_lessequals(c_plus(X1,c_plus(c_1,X2,tc_nat),tc_nat),X2,tc_nat),
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| c_lessequals(c_plus(c_1,v_sko__urX(v_evs),tc_nat),X1,tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_30])]) ).
cnf(c_0_56,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs) = X1
| X1 = v_sko__urX(v_evs_H)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_plus(c_1,X1,tc_nat),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_58,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| c_lessequals(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_51,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H) ),
inference(spm,[status(thm)],[c_0_56,c_0_30]) ).
cnf(c_0_60,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_plus(c_1,X1,tc_nat),tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| ~ c_less(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_35,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_54,c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,v_sko__urX(v_evs),tc_nat),tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H) ),
inference(spm,[status(thm)],[c_0_61,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,X1,tc_nat),tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_54,c_0_59]) ).
cnf(c_0_65,negated_conjecture,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
cnf(c_0_66,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat) ),
inference(spm,[status(thm)],[c_0_30,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,X1,tc_nat),tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat) ),
inference(rw,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,v_sko__urX(v_evs_H),tc_nat),tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,negated_conjecture,
( v_sko__urX(v_evs_H_H) = X1
| v_sko__urX(v_evs_H_H) = X2
| X2 = X1
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_65]),c_0_65]) ).
cnf(c_0_71,negated_conjecture,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_69]),c_0_40])]) ).
cnf(c_0_72,negated_conjecture,
( v_sko__urX(v_evs_H) = X1
| v_sko__urX(v_evs_H) = X2
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X2,tc_nat) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]) ).
cnf(c_0_73,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| X2 = c_plus(v_sko__urX(v_evs_H),X1,tc_nat)
| v_sko__urX(v_evs_H) = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_72,c_0_30]) ).
cnf(c_0_74,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H) = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| ~ c_less(X2,X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_35,c_0_73]) ).
cnf(c_0_75,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_plus(c_1,X1,tc_nat),tc_nat) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H) = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_74,c_0_40]) ).
cnf(c_0_76,negated_conjecture,
( v_sko__urX(v_evs_H) = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_54,c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| c_in(c_Message_Omsg_ONonce(c_plus(v_sko__urX(v_evs_H),X1,tc_nat)),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_76,c_0_30]) ).
cnf(c_0_78,negated_conjecture,
c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_77]),c_0_71]),c_0_30])]) ).
cnf(c_0_79,negated_conjecture,
~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat),
inference(spm,[status(thm)],[c_0_54,c_0_78]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_79,c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV282-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.32 % Computer : n016.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 5 05:00:51 EDT 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % start to proof: theBenchmark
% 7.71/5.72 % Version : CSE_E---1.7
% 7.71/5.72 % Problem : theBenchmark.p
% 7.71/5.72 % SZS status Unsatisfiable for theBenchmark.p
% 7.71/5.72 % SZS output start CNFRefutation
% See solution above
% 7.71/5.74 % Total time : 4.372s
%------------------------------------------------------------------------------