TSTP Solution File: SWV282-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Thu Aug 31 21:37:31 EDT 2023
% Result : Unsatisfiable 0.21s 0.76s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of formulae : 108 ( 31 unt; 19 typ; 0 def)
% Number of atoms : 208 ( 124 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 36 ~; 119 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 12 >; 13 *; 0 +; 0 <<)
% 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 : 111 ( 20 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_23,type,
v_evs_H_H: $i ).
tff(decl_24,type,
c_Event_Oused: $i > $i ).
tff(decl_25,type,
tc_Message_Omsg: $i ).
tff(decl_26,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
v_evs_H: $i ).
tff(decl_28,type,
v_evs: $i ).
tff(decl_29,type,
c_0: $i ).
tff(decl_30,type,
c_Suc: $i > $i ).
tff(decl_31,type,
c_Binomial_Obinomial: ( $i * $i ) > $i ).
tff(decl_32,type,
tc_nat: $i ).
tff(decl_33,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_1: $i ).
tff(decl_35,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
c_less: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
v_sko__urX: $i > $i ).
tff(decl_39,type,
c_SetInterval_OatMost: ( $i * $i ) > $i ).
tff(decl_40,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).
cnf(cls_Nat_Ole__add1_0,axiom,
c_lessequals(X1,c_plus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
cnf(cls_Nat_Onot__add__less2_0,axiom,
~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
cnf(cls_Nat_OlessI_0,axiom,
c_less(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OlessI_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/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
cnf(cls_Binomial_Obinomial__1_0,axiom,
c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_0) ).
cnf(cls_Nat_OOne__nat__def_0,axiom,
c_1 = c_Suc(c_0),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__Suc_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/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).
cnf(cls_Binomial_Obinomial__n__0_0,axiom,
c_Binomial_Obinomial(X1,c_0) = c_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).
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/sandbox/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,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_23,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_22]) ).
cnf(c_0_24,axiom,
c_lessequals(X1,c_plus(X1,X2,tc_nat),tc_nat),
cls_Nat_Ole__add1_0 ).
cnf(c_0_25,axiom,
~ c_less(c_plus(X1,X2,tc_nat),X2,tc_nat),
cls_Nat_Onot__add__less2_0 ).
cnf(c_0_26,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_23,c_0_24]) ).
cnf(c_0_27,axiom,
c_less(X1,c_Suc(X1),tc_nat),
cls_Nat_OlessI_0 ).
cnf(c_0_28,axiom,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
cls_SetInterval_Ocard__atMost_0 ).
cnf(c_0_29,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_25,c_0_26]) ).
cnf(c_0_30,plain,
c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs),tc_nat),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_29,c_0_30]) ).
cnf(c_0_32,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_33,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_24,c_0_31]) ).
cnf(c_0_34,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_32,c_0_33]) ).
cnf(c_0_35,axiom,
c_Binomial_Obinomial(X1,c_Suc(c_0)) = X1,
cls_Binomial_Obinomial__1_0 ).
cnf(c_0_36,axiom,
c_1 = c_Suc(c_0),
cls_Nat_OOne__nat__def_0 ).
cnf(c_0_37,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_34]) ).
cnf(c_0_38,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_39,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_35,c_0_28]) ).
cnf(c_0_40,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_36,c_0_28]) ).
cnf(c_0_41,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_37,c_0_24]) ).
cnf(c_0_42,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_43,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_38,c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_44,axiom,
c_Binomial_Obinomial(X1,c_0) = c_1,
cls_Binomial_Obinomial__n__0_0 ).
cnf(c_0_45,plain,
c_Binomial_Obinomial(X1,c_1) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,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_25,c_0_41]) ).
cnf(c_0_47,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_42,c_0_28]) ).
cnf(c_0_48,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_49,plain,
c_plus(c_1,X1,tc_nat) = c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_44]),c_0_45]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs),tc_nat),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_46,c_0_30]) ).
cnf(c_0_51,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_32,c_0_19]) ).
cnf(c_0_52,plain,
~ c_lessequals(c_plus(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat),X2,tc_nat),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_53,plain,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X2,tc_nat),tc_nat),tc_nat) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_49]) ).
cnf(c_0_54,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs),tc_nat),tc_nat),X1,tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_24])]) ).
cnf(c_0_55,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_51]) ).
cnf(c_0_56,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),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_52,c_0_26]) ).
cnf(c_0_57,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_53,c_0_54]) ).
cnf(c_0_58,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_55,c_0_24]) ).
cnf(c_0_59,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),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_56,c_0_57]) ).
cnf(c_0_60,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_25,c_0_58]) ).
cnf(c_0_61,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_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs),tc_nat) ),
inference(spm,[status(thm)],[c_0_24,c_0_26]) ).
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_52,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs),tc_nat),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_60,c_0_30]) ).
cnf(c_0_64,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),tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_52,c_0_61]) ).
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_24]) ).
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),v_sko__urX(v_evs),tc_nat) ),
inference(spm,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_67,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),tc_nat) ),
inference(spm,[status(thm)],[c_0_64,c_0_24]) ).
cnf(c_0_68,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_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_65]),c_0_65]) ).
cnf(c_0_69,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,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_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(X1,X2,tc_nat) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_68]),c_0_24])]) ).
cnf(c_0_71,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) != v_sko__urX(v_evs_H) ),
inference(ef,[status(thm)],[c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(X1,X2,tc_nat)
| ~ c_less(v_sko__urX(v_evs_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_25,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H)
| ~ c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_69]),c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_72,c_0_30]) ).
cnf(c_0_75,negated_conjecture,
( X1 = X2
| X1 = X3
| X2 = X3
| 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_H),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(v_evs_H),X3,tc_nat) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_76,negated_conjecture,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| ~ c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat) ),
inference(rw,[status(thm)],[c_0_73,c_0_65]) ).
cnf(c_0_77,negated_conjecture,
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat) ),
inference(spm,[status(thm)],[c_0_53,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( X1 = v_sko__urX(v_evs_H)
| X2 = v_sko__urX(v_evs_H)
| X2 = X1
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_75,c_0_19]) ).
cnf(c_0_79,negated_conjecture,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( X1 = v_sko__urX(v_evs_H)
| X2 = v_sko__urX(v_evs_H)
| X1 = X2
| 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)],[inference(spm,[status(thm)],[c_0_14,c_0_78]),c_0_65]),c_0_79]) ).
cnf(c_0_81,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = X2
| X2 = v_sko__urX(v_evs_H)
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_80,c_0_24]) ).
cnf(c_0_82,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),X1,tc_nat) = v_sko__urX(v_evs_H)
| X2 = v_sko__urX(v_evs_H)
| 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_25,c_0_81]) ).
cnf(c_0_83,negated_conjecture,
( c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat) = v_sko__urX(v_evs_H)
| X1 = v_sko__urX(v_evs_H)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_82,c_0_30]) ).
cnf(c_0_84,negated_conjecture,
( X1 = v_sko__urX(v_evs_H)
| 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_52,c_0_83]) ).
cnf(c_0_85,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_84,c_0_24]) ).
cnf(c_0_86,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_85]),c_0_79]),c_0_24])]) ).
cnf(c_0_87,negated_conjecture,
c_lessequals(X1,X2,tc_nat),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_86]),c_0_24])]) ).
cnf(c_0_88,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_87])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 07:40:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.76 % Version : CSE_E---1.5
% 0.21/0.76 % Problem : theBenchmark.p
% 0.21/0.76 % Proof found
% 0.21/0.76 % SZS status Theorem for theBenchmark.p
% 0.21/0.76 % SZS output start Proof
% See solution above
% 0.69/0.77 % Total time : 0.172000 s
% 0.69/0.77 % SZS output end Proof
% 0.69/0.77 % Total time : 0.175000 s
%------------------------------------------------------------------------------