TSTP Solution File: SWV282-2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:44:02 EDT 2023
% Result : Unsatisfiable 0.20s 0.66s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 14
% Syntax : Number of clauses : 89 ( 31 unt; 43 nHn; 40 RR)
% Number of literals : 208 ( 124 equ; 36 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 : 111 ( 20 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/sandbox/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.p',cls_Binomial_Obinomial__1_0) ).
cnf(cls_Nat_OOne__nat__def_0,axiom,
c_1 = c_Suc(c_0),
file('/export/starexec/sandbox/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.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 : run_E %s %d THM
% 0.17/0.34 % Computer : n025.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 2400
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Oct 3 04:11:21 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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/tmp/tmp.tEw3g2P4Jf/E---3.1_29905.p
% 0.20/0.66 # Version: 3.1pre001
% 0.20/0.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.66 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.66 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.66 # Starting sh5l with 300s (1) cores
% 0.20/0.66 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29983 completed with status 0
% 0.20/0.66 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.66 # No SInE strategy applied
% 0.20/0.66 # Search class: FGHSM-FFSF31-MFFFFFNN
% 0.20/0.66 # partial match(1): FGHSM-FFMF31-MFFFFFNN
% 0.20/0.66 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.66 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.20/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.66 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.66 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.66 # Starting sh5l with 136s (1) cores
% 0.20/0.66 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 29989 completed with status 0
% 0.20/0.66 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.20/0.66 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.66 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.66 # No SInE strategy applied
% 0.20/0.66 # Search class: FGHSM-FFSF31-MFFFFFNN
% 0.20/0.66 # partial match(1): FGHSM-FFMF31-MFFFFFNN
% 0.20/0.66 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.66 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 0.20/0.66 # Preprocessing time : 0.001 s
% 0.20/0.66 # Presaturation interreduction done
% 0.20/0.66
% 0.20/0.66 # Proof found!
% 0.20/0.66 # SZS status Unsatisfiable
% 0.20/0.66 # SZS output start CNFRefutation
% See solution above
% 0.20/0.66 # Parsed axioms : 14
% 0.20/0.66 # Removed by relevancy pruning/SinE : 0
% 0.20/0.66 # Initial clauses : 14
% 0.20/0.66 # Removed in clause preprocessing : 1
% 0.20/0.66 # Initial clauses in saturation : 13
% 0.20/0.66 # Processed clauses : 304
% 0.20/0.66 # ...of these trivial : 1
% 0.20/0.66 # ...subsumed : 131
% 0.20/0.66 # ...remaining for further processing : 172
% 0.20/0.66 # Other redundant clauses eliminated : 40
% 0.20/0.66 # Clauses deleted for lack of memory : 0
% 0.20/0.66 # Backward-subsumed : 14
% 0.20/0.66 # Backward-rewritten : 114
% 0.20/0.66 # Generated clauses : 5903
% 0.20/0.66 # ...of the previous two non-redundant : 5621
% 0.20/0.66 # ...aggressively subsumed : 0
% 0.20/0.66 # Contextual simplify-reflections : 2
% 0.20/0.66 # Paramodulations : 5600
% 0.20/0.66 # Factorizations : 263
% 0.20/0.66 # NegExts : 0
% 0.20/0.66 # Equation resolutions : 40
% 0.20/0.66 # Total rewrite steps : 598
% 0.20/0.66 # Propositional unsat checks : 0
% 0.20/0.66 # Propositional check models : 0
% 0.20/0.66 # Propositional check unsatisfiable : 0
% 0.20/0.66 # Propositional clauses : 0
% 0.20/0.66 # Propositional clauses after purity: 0
% 0.20/0.66 # Propositional unsat core size : 0
% 0.20/0.66 # Propositional preprocessing time : 0.000
% 0.20/0.66 # Propositional encoding time : 0.000
% 0.20/0.66 # Propositional solver time : 0.000
% 0.20/0.66 # Success case prop preproc time : 0.000
% 0.20/0.66 # Success case prop encoding time : 0.000
% 0.20/0.66 # Success case prop solver time : 0.000
% 0.20/0.66 # Current number of processed clauses : 31
% 0.20/0.66 # Positive orientable unit clauses : 13
% 0.20/0.66 # Positive unorientable unit clauses: 0
% 0.20/0.66 # Negative unit clauses : 5
% 0.20/0.66 # Non-unit-clauses : 13
% 0.20/0.66 # Current number of unprocessed clauses: 5213
% 0.20/0.66 # ...number of literals in the above : 42521
% 0.20/0.66 # Current number of archived formulas : 0
% 0.20/0.66 # Current number of archived clauses : 142
% 0.20/0.66 # Clause-clause subsumption calls (NU) : 2569
% 0.20/0.66 # Rec. Clause-clause subsumption calls : 666
% 0.20/0.66 # Non-unit clause-clause subsumptions : 135
% 0.20/0.66 # Unit Clause-clause subsumption calls : 78
% 0.20/0.66 # Rewrite failures with RHS unbound : 0
% 0.20/0.66 # BW rewrite match attempts : 41
% 0.20/0.66 # BW rewrite match successes : 36
% 0.20/0.66 # Condensation attempts : 0
% 0.20/0.66 # Condensation successes : 0
% 0.20/0.66 # Termbank termtop insertions : 156678
% 0.20/0.66
% 0.20/0.66 # -------------------------------------------------
% 0.20/0.66 # User time : 0.172 s
% 0.20/0.66 # System time : 0.009 s
% 0.20/0.66 # Total time : 0.180 s
% 0.20/0.66 # Maximum resident set size: 1724 pages
% 0.20/0.66
% 0.20/0.66 # -------------------------------------------------
% 0.20/0.66 # User time : 0.850 s
% 0.20/0.66 # System time : 0.023 s
% 0.20/0.66 # Total time : 0.873 s
% 0.20/0.66 # Maximum resident set size: 1684 pages
% 0.20/0.66 % E---3.1 exiting
% 0.20/0.66 % E---3.1 exiting
%------------------------------------------------------------------------------