TSTP Solution File: SWV282-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 23:09:17 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 16
% Syntax : Number of formulae : 85 ( 35 unt; 0 def)
% Number of atoms : 178 ( 120 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 34 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 84 (; 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,plain,
$false,
inference(resolution,[],[f472,f126]) ).
fof(f126,plain,
! [X4] : c_less(X4,c_plus(c_1,X4,tc_nat),tc_nat),
inference(backward_demodulation,[],[f16,f121]) ).
fof(f121,plain,
! [X0] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat) = c_plus(c_1,X0,tc_nat),
inference(forward_demodulation,[],[f120,f24]) ).
fof(f24,plain,
! [X3] : c_Binomial_Obinomial(X3,c_1) = X3,
inference(forward_demodulation,[],[f17,f15]) ).
fof(f15,plain,
c_1 = c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat),
inference(definition_unfolding,[],[f5,f14]) ).
fof(f14,axiom,
! [X10] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X10,tc_nat),tc_nat) = c_Suc(X10),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_SetInterval_Ocard__atMost_0) ).
fof(f5,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_OOne__nat__def_0) ).
fof(f17,plain,
! [X3] : c_Binomial_Obinomial(X3,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)) = X3,
inference(definition_unfolding,[],[f2,f14]) ).
fof(f2,axiom,
! [X3] : c_Binomial_Obinomial(X3,c_Suc(c_0)) = X3,
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Binomial_Obinomial__1_0) ).
fof(f120,plain,
! [X0] : c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_1) = c_plus(c_1,X0,tc_nat),
inference(forward_demodulation,[],[f119,f24]) ).
fof(f119,plain,
! [X0] : c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_1) = c_plus(c_1,c_Binomial_Obinomial(X0,c_1),tc_nat),
inference(forward_demodulation,[],[f112,f15]) ).
fof(f112,plain,
! [X0] : c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)) = c_plus(c_1,c_Binomial_Obinomial(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)),tc_nat),
inference(superposition,[],[f18,f4]) ).
fof(f4,axiom,
! [X4] : c_Binomial_Obinomial(X4,c_0) = c_1,
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Binomial_Obinomial__n__0_0) ).
fof(f18,plain,
! [X4,X5] : c_Binomial_Obinomial(c_Finite__Set_Ocard(c_SetInterval_OatMost(X4,tc_nat),tc_nat),c_Finite__Set_Ocard(c_SetInterval_OatMost(X5,tc_nat),tc_nat)) = c_plus(c_Binomial_Obinomial(X4,X5),c_Binomial_Obinomial(X4,c_Finite__Set_Ocard(c_SetInterval_OatMost(X5,tc_nat),tc_nat)),tc_nat),
inference(definition_unfolding,[],[f3,f14,f14,f14]) ).
fof(f3,axiom,
! [X4,X5] : c_Binomial_Obinomial(c_Suc(X4),c_Suc(X5)) = c_plus(c_Binomial_Obinomial(X4,X5),c_Binomial_Obinomial(X4,c_Suc(X5)),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Binomial_Obinomial__Suc__Suc_0) ).
fof(f16,plain,
! [X4] : c_less(X4,c_Finite__Set_Ocard(c_SetInterval_OatMost(X4,tc_nat),tc_nat),tc_nat),
inference(definition_unfolding,[],[f9,f14]) ).
fof(f9,axiom,
! [X4] : c_less(X4,c_Suc(X4),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_OlessI_0) ).
fof(f472,plain,
! [X4] : ~ c_less(v_sko__urX(v_evs_H_H),X4,tc_nat),
inference(superposition,[],[f12,f445]) ).
fof(f445,plain,
! [X0] : v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat),
inference(resolution,[],[f436,f8]) ).
fof(f8,axiom,
! [X6,X4] : c_lessequals(X4,c_plus(X4,X6,tc_nat),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_Ole__add1_0) ).
fof(f436,plain,
! [X9] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X9,tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X9,tc_nat) ),
inference(superposition,[],[f123,f419]) ).
fof(f419,plain,
! [X1] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),c_plus(c_1,c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) ),
inference(resolution,[],[f399,f126]) ).
fof(f399,plain,
! [X12,X13] :
( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X13,tc_nat),X12,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X13,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X12,tc_nat) ),
inference(superposition,[],[f12,f369]) ).
fof(f369,plain,
! [X2,X1] :
( c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) = 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_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) ),
inference(forward_demodulation,[],[f368,f363]) ).
fof(f363,plain,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H),
inference(resolution,[],[f357,f126]) ).
fof(f357,plain,
! [X7] :
( ~ c_less(v_sko__urX(v_evs_H_H),X7,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f12,f350]) ).
fof(f350,plain,
! [X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(duplicate_literal_removal,[],[f347]) ).
fof(f347,plain,
! [X0] :
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f318,f337]) ).
fof(f337,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f123,f331]) ).
fof(f331,plain,
( v_sko__urX(v_evs_H_H) = 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) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f317,f126]) ).
fof(f317,plain,
! [X6] :
( ~ c_less(v_sko__urX(v_evs),X6,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X6,tc_nat) ),
inference(superposition,[],[f12,f311]) ).
fof(f311,plain,
! [X0] :
( v_sko__urX(v_evs) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) ),
inference(resolution,[],[f303,f34]) ).
fof(f34,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs)),sF1,tc_Message_Omsg),
inference(resolution,[],[f29,f27]) ).
fof(f27,plain,
! [X0] : c_lessequals(X0,X0,tc_nat),
inference(trivial_inequality_removal,[],[f26]) ).
fof(f26,plain,
! [X0] :
( c_0 != c_0
| c_lessequals(X0,X0,tc_nat) ),
inference(superposition,[],[f6,f7]) ).
fof(f7,axiom,
! [X6] : c_0 = c_minus(X6,X6,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_Odiff__self__eq__0_0) ).
fof(f6,axiom,
! [X6,X4] :
( c_0 != c_minus(X6,X4,tc_nat)
| c_lessequals(X6,X4,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_Odiff__is__0__eq_0) ).
fof(f29,plain,
! [X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X1),sF1,tc_Message_Omsg) ),
inference(superposition,[],[f13,f21]) ).
fof(f21,plain,
c_Event_Oused(v_evs) = sF1,
introduced(function_definition,[]) ).
fof(f13,axiom,
! [X0,X9] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(X9),tc_Message_Omsg)
| ~ c_lessequals(v_sko__urX(X9),X0,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Public_ONonce__supply__lemma_0) ).
fof(f303,plain,
! [X2,X1] :
( c_in(c_Message_Omsg_ONonce(X1),sF1,tc_Message_Omsg)
| v_sko__urX(v_evs_H_H) = X1
| c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) = X1
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) ),
inference(forward_demodulation,[],[f296,f288]) ).
fof(f288,plain,
v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H),
inference(resolution,[],[f282,f126]) ).
fof(f282,plain,
! [X6] :
( ~ c_less(v_sko__urX(v_evs_H_H),X6,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f12,f277]) ).
fof(f277,plain,
! [X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
! [X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f245,f84]) ).
fof(f84,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f70,f19]) ).
fof(f19,plain,
! [X6,X4] :
( c_less(X6,c_Finite__Set_Ocard(c_SetInterval_OatMost(X4,tc_nat),tc_nat),tc_nat)
| ~ c_lessequals(X6,X4,tc_nat) ),
inference(definition_unfolding,[],[f10,f14]) ).
fof(f10,axiom,
! [X6,X4] :
( ~ c_lessequals(X6,X4,tc_nat)
| c_less(X6,c_Suc(X4),tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_Oless__Suc__eq__le_1) ).
fof(f70,plain,
( ~ c_less(v_sko__urX(v_evs_H_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f12,f63]) ).
fof(f63,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f58,f16]) ).
fof(f58,plain,
! [X1] :
( ~ c_less(v_sko__urX(v_evs_H),X1,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),X1,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f12,f45]) ).
fof(f45,plain,
! [X0] :
( v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f39,f33]) ).
fof(f33,plain,
! [X0] : ~ c_in(c_Message_Omsg_ONonce(c_plus(v_sko__urX(v_evs),X0,tc_nat)),sF1,tc_Message_Omsg),
inference(resolution,[],[f29,f8]) ).
fof(f39,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(X0),sF1,tc_Message_Omsg)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H) = X0 ),
inference(resolution,[],[f37,f36]) ).
fof(f36,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H_H)),sF2,tc_Message_Omsg),
inference(resolution,[],[f30,f27]) ).
fof(f30,plain,
! [X2] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X2,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X2),sF2,tc_Message_Omsg) ),
inference(superposition,[],[f13,f22]) ).
fof(f22,plain,
c_Event_Oused(v_evs_H_H) = sF2,
introduced(function_definition,[]) ).
fof(f37,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),sF2,tc_Message_Omsg)
| X0 = X1
| v_sko__urX(v_evs_H) = X1
| c_in(c_Message_Omsg_ONonce(X0),sF1,tc_Message_Omsg)
| v_sko__urX(v_evs_H) = X0 ),
inference(resolution,[],[f23,f32]) ).
fof(f32,plain,
~ c_in(c_Message_Omsg_ONonce(v_sko__urX(v_evs_H)),sF0,tc_Message_Omsg),
inference(resolution,[],[f28,f27]) ).
fof(f28,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| ~ c_in(c_Message_Omsg_ONonce(X0),sF0,tc_Message_Omsg) ),
inference(superposition,[],[f13,f20]) ).
fof(f20,plain,
c_Event_Oused(v_evs_H) = sF0,
introduced(function_definition,[]) ).
fof(f23,plain,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X2),sF0,tc_Message_Omsg)
| X0 = X2
| X0 = X1
| X1 = X2
| c_in(c_Message_Omsg_ONonce(X0),sF1,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),sF2,tc_Message_Omsg) ),
inference(definition_folding,[],[f1,f22,f21,f20]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( X1 = X2
| X0 = X2
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_conjecture_0) ).
fof(f245,plain,
! [X3] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X3,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(duplicate_literal_removal,[],[f234]) ).
fof(f234,plain,
! [X3] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X3,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f59,f227]) ).
fof(f227,plain,
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f224,f27]) ).
fof(f224,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H_H),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f105,f136]) ).
fof(f136,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_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) = v_sko__urX(v_evs_H_H) ),
inference(backward_demodulation,[],[f73,f121]) ).
fof(f73,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H),c_Finite__Set_Ocard(c_SetInterval_OatMost(v_sko__urX(v_evs_H),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f63,f44]) ).
fof(f44,plain,
( v_sko__urX(v_evs_H) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f39,f34]) ).
fof(f105,plain,
! [X2] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H),X2,tc_nat),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f41,f98]) ).
fof(f98,plain,
! [X0] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),c_Finite__Set_Ocard(c_SetInterval_OatMost(c_plus(v_sko__urX(v_evs_H),X0,tc_nat),tc_nat),tc_nat),tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f64,f8]) ).
fof(f64,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),c_Finite__Set_Ocard(c_SetInterval_OatMost(X0,tc_nat),tc_nat),tc_nat) ),
inference(resolution,[],[f58,f19]) ).
fof(f41,plain,
! [X0,X1] : ~ c_lessequals(c_plus(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),X1,tc_nat),
inference(resolution,[],[f19,f12]) ).
fof(f59,plain,
! [X2] :
( c_lessequals(v_sko__urX(v_evs),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),X2,tc_nat)
| v_sko__urX(v_evs_H) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f8,f45]) ).
fof(f296,plain,
! [X2,X1] :
( v_sko__urX(v_evs_H_H) = X1
| c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) = X1
| v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| c_in(c_Message_Omsg_ONonce(X1),sF1,tc_Message_Omsg) ),
inference(backward_demodulation,[],[f40,f288]) ).
fof(f40,plain,
! [X2,X1] :
( c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) = X1
| v_sko__urX(v_evs_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| c_in(c_Message_Omsg_ONonce(X1),sF1,tc_Message_Omsg)
| v_sko__urX(v_evs_H) = X1 ),
inference(resolution,[],[f37,f35]) ).
fof(f35,plain,
! [X0] : ~ c_in(c_Message_Omsg_ONonce(c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat)),sF2,tc_Message_Omsg),
inference(resolution,[],[f30,f8]) ).
fof(f318,plain,
! [X7] :
( c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs),tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X7,tc_nat) ),
inference(superposition,[],[f8,f311]) ).
fof(f368,plain,
! [X2,X1] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)
| c_plus(v_sko__urX(v_evs),X1,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) ),
inference(backward_demodulation,[],[f312,f363]) ).
fof(f312,plain,
! [X2,X1] :
( v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs),X1,tc_nat)
| c_plus(v_sko__urX(v_evs),X1,tc_nat) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X2,tc_nat) ),
inference(resolution,[],[f303,f33]) ).
fof(f123,plain,
! [X0,X1] : ~ c_lessequals(c_plus(X0,c_plus(c_1,X1,tc_nat),tc_nat),X1,tc_nat),
inference(backward_demodulation,[],[f41,f121]) ).
fof(f12,axiom,
! [X8,X7] : ~ c_less(c_plus(X7,X8,tc_nat),X8,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790',cls_Nat_Onot__add__less2_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV282-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 06:46:43 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790
% 0.15/0.35 % (31901)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (31905)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.21/0.41 % (31904)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.21/0.41 % (31906)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.21/0.41 % (31903)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.21/0.41 % (31902)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.21/0.41 % (31907)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.21/0.42 % (31906)Refutation not found, incomplete strategy% (31906)------------------------------
% 0.21/0.42 % (31906)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (31906)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (31906)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42 % (31906)Memory used [KB]: 895
% 0.21/0.42 % (31906)Time elapsed: 0.004 s
% 0.21/0.42 % (31906)------------------------------
% 0.21/0.42 % (31906)------------------------------
% 0.21/0.43 % (31904)First to succeed.
% 0.21/0.44 % (31904)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (31904)------------------------------
% 0.21/0.44 % (31904)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (31904)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (31904)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (31904)Memory used [KB]: 1151
% 0.21/0.44 % (31904)Time elapsed: 0.022 s
% 0.21/0.44 % (31904)------------------------------
% 0.21/0.44 % (31904)------------------------------
% 0.21/0.44 % (31901)Success in time 0.08 s
% 0.21/0.44 31902 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.tDnOYwB80b/Vampire---4.8_31790
% 0.21/0.44 % (31902)------------------------------
% 0.21/0.44 % (31902)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (31902)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (31902)Termination reason: Unknown
% 0.21/0.44 % (31902)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (31902)Memory used [KB]: 5373
% 0.21/0.44 % (31902)Time elapsed: 0.025 s
% 0.21/0.44 % (31902)------------------------------
% 0.21/0.44 % (31902)------------------------------
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------