TSTP Solution File: SWV282-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV282-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 : Wed Aug 31 18:56:09 EDT 2022
% Result : Unsatisfiable 2.13s 0.62s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 13
% Syntax : Number of formulae : 75 ( 26 unt; 0 def)
% Number of atoms : 197 ( 135 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 175 ( 53 ~; 122 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f720,plain,
$false,
inference(resolution,[],[f707,f72]) ).
fof(f72,plain,
! [X4] : c_less(X4,c_plus(c_1,X4,tc_nat),tc_nat),
inference(backward_demodulation,[],[f19,f67]) ).
fof(f67,plain,
! [X1] : c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_plus(c_1,X1,tc_nat),
inference(superposition,[],[f58,f20]) ).
fof(f20,plain,
! [X3] : c_Binomial_Obinomial(X3,c_1) = X3,
inference(backward_demodulation,[],[f17,f18]) ).
fof(f18,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/benchmark/theBenchmark.p',cls_SetInterval_Ocard__atMost_0) ).
fof(f5,axiom,
c_Suc(c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',cls_Binomial_Obinomial__1_0) ).
fof(f58,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,[],[f57,f20]) ).
fof(f57,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,[],[f52,f18]) ).
fof(f52,plain,
! [X0] : c_plus(c_1,c_Binomial_Obinomial(X0,c_Finite__Set_Ocard(c_SetInterval_OatMost(c_0,tc_nat),tc_nat)),tc_nat) = 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)),
inference(superposition,[],[f15,f4]) ).
fof(f4,axiom,
! [X4] : c_Binomial_Obinomial(X4,c_0) = c_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Binomial_Obinomial__n__0_0) ).
fof(f15,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/benchmark/theBenchmark.p',cls_Binomial_Obinomial__Suc__Suc_0) ).
fof(f19,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/benchmark/theBenchmark.p',cls_Nat_OlessI_0) ).
fof(f707,plain,
! [X2] : ~ c_less(v_sko__urX(v_evs_H_H),X2,tc_nat),
inference(superposition,[],[f12,f660]) ).
fof(f660,plain,
! [X0] : c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H),
inference(resolution,[],[f619,f8]) ).
fof(f8,axiom,
! [X6,X4] : c_lessequals(X4,c_plus(X4,X6,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Ole__add1_0) ).
fof(f619,plain,
! [X7] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),c_plus(v_sko__urX(v_evs_H_H),X7,tc_nat),tc_nat)
| v_sko__urX(v_evs_H_H) = c_plus(v_sko__urX(v_evs_H_H),X7,tc_nat) ),
inference(superposition,[],[f73,f596]) ).
fof(f596,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,[],[f576,f72]) ).
fof(f576,plain,
! [X3,X4] :
( ~ c_less(c_plus(v_sko__urX(v_evs_H_H),X4,tc_nat),X3,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_H) = c_plus(v_sko__urX(v_evs_H_H),X4,tc_nat) ),
inference(superposition,[],[f12,f519]) ).
fof(f519,plain,
! [X0,X1] :
( c_plus(v_sko__urX(v_evs_H_H),X0,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)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f486,f8]) ).
fof(f486,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| 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_H_H),X1,tc_nat) = X0
| v_sko__urX(v_evs_H_H) = X0 ),
inference(backward_demodulation,[],[f407,f473]) ).
fof(f473,plain,
v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H),
inference(resolution,[],[f463,f72]) ).
fof(f463,plain,
! [X1] :
( ~ c_less(v_sko__urX(v_evs_H_H),X1,tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[],[f12,f458]) ).
fof(f458,plain,
! [X0] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
! [X0] :
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(resolution,[],[f423,f436]) ).
fof(f436,plain,
( ~ c_lessequals(v_sko__urX(v_evs_H_H),v_sko__urX(v_evs_H),tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[],[f73,f432]) ).
fof(f432,plain,
( 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_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(resolution,[],[f422,f72]) ).
fof(f422,plain,
! [X0] :
( ~ c_less(v_sko__urX(v_evs_H),X0,tc_nat)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[],[f12,f418]) ).
fof(f418,plain,
! [X0] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(resolution,[],[f417,f8]) ).
fof(f417,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs_H) = X0
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| v_sko__urX(v_evs_H_H) = X0 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
! [X0] :
( v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| c_0 != c_0
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs_H) = X0 ),
inference(superposition,[],[f405,f7]) ).
fof(f7,axiom,
! [X6] : c_0 = c_minus(X6,X6,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__self__eq__0_0) ).
fof(f405,plain,
! [X6,X5] :
( c_0 != c_minus(v_sko__urX(v_evs_H),X6,tc_nat)
| X5 = X6
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X5,tc_nat)
| v_sko__urX(v_evs_H_H) = X6
| v_sko__urX(v_evs_H_H) = X5 ),
inference(forward_demodulation,[],[f338,f319]) ).
fof(f319,plain,
v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H),
inference(resolution,[],[f301,f72]) ).
fof(f301,plain,
! [X1] :
( ~ c_less(v_sko__urX(v_evs_H_H),X1,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f12,f298]) ).
fof(f298,plain,
! [X0] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f289,plain,
! [X0] :
( c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f238,f121]) ).
fof(f121,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(resolution,[],[f71,f105]) ).
fof(f105,plain,
( ~ c_less(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(superposition,[],[f12,f99]) ).
fof(f99,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),tc_nat),tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f94,f72]) ).
fof(f94,plain,
! [X0] :
( ~ c_less(v_sko__urX(v_evs),X0,tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f12,f49]) ).
fof(f49,plain,
! [X0] :
( c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| c_plus(v_sko__urX(v_evs_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f48,f8]) ).
fof(f48,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs_H_H) = X0
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs) = X0 ),
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
! [X0] :
( v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| c_0 != c_0
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs_H_H) = X0 ),
inference(superposition,[],[f43,f7]) ).
fof(f43,plain,
! [X6,X5] :
( c_0 != c_minus(v_sko__urX(v_evs_H_H),X6,tc_nat)
| X5 = X6
| v_sko__urX(v_evs) = X5
| v_sko__urX(v_evs) = X6
| ~ c_lessequals(v_sko__urX(v_evs_H),X5,tc_nat) ),
inference(resolution,[],[f40,f6]) ).
fof(f6,axiom,
! [X6,X4] :
( c_lessequals(X6,X4,tc_nat)
| c_0 != c_minus(X6,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__is__0__eq_0) ).
fof(f40,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| X0 = X1
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = X1 ),
inference(trivial_inequality_removal,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( c_0 != c_0
| v_sko__urX(v_evs) = X1
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X1,tc_nat)
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| v_sko__urX(v_evs) = X0 ),
inference(superposition,[],[f32,f7]) ).
fof(f32,plain,
! [X8,X9,X7] :
( c_0 != c_minus(v_sko__urX(v_evs),X9,tc_nat)
| X7 = X8
| ~ c_lessequals(v_sko__urX(v_evs_H),X7,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X8,tc_nat)
| X8 = X9
| X7 = X9 ),
inference(resolution,[],[f29,f6]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs),X2,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H),X1,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| X1 = X2
| X0 = X2
| X0 = X1 ),
inference(resolution,[],[f28,f13]) ).
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/benchmark/theBenchmark.p',cls_Public_ONonce__supply__lemma_0) ).
fof(f28,plain,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg)
| X0 = X2
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs),X1,tc_nat)
| X1 = X2 ),
inference(resolution,[],[f22,f13]) ).
fof(f22,plain,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs),tc_Message_Omsg)
| X0 = X1
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| X1 = X2
| X0 = X2
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
inference(resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(v_evs_H_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Event_Oused(v_evs),tc_Message_Omsg)
| X1 = X2
| X0 = X2
| X0 = X1
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(v_evs_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f71,plain,
! [X6,X4] :
( c_less(X6,c_plus(c_1,X4,tc_nat),tc_nat)
| ~ c_lessequals(X6,X4,tc_nat) ),
inference(backward_demodulation,[],[f16,f67]) ).
fof(f16,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_less(X6,c_Suc(X4),tc_nat)
| ~ c_lessequals(X6,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oless__Suc__eq__le_1) ).
fof(f238,plain,
! [X1] :
( 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),X1,tc_nat) ),
inference(superposition,[],[f8,f140]) ).
fof(f140,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)
| c_plus(v_sko__urX(v_evs_H_H),X0,tc_nat) = v_sko__urX(v_evs_H_H) ),
inference(resolution,[],[f113,f8]) ).
fof(f113,plain,
! [X0] :
( ~ c_lessequals(v_sko__urX(v_evs_H_H),X0,tc_nat)
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| v_sko__urX(v_evs_H_H) = X0 ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
! [X0] :
( v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H)
| ~ c_lessequals(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) = X0 ),
inference(resolution,[],[f106,f40]) ).
fof(f106,plain,
( c_lessequals(v_sko__urX(v_evs_H),v_sko__urX(v_evs_H_H),tc_nat)
| v_sko__urX(v_evs) = v_sko__urX(v_evs_H_H) ),
inference(superposition,[],[f8,f99]) ).
fof(f338,plain,
! [X6,X5] :
( c_0 != c_minus(v_sko__urX(v_evs_H),X6,tc_nat)
| v_sko__urX(v_evs) = X6
| X5 = X6
| v_sko__urX(v_evs_H_H) = X5
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X5,tc_nat) ),
inference(backward_demodulation,[],[f46,f319]) ).
fof(f46,plain,
! [X6,X5] :
( c_0 != c_minus(v_sko__urX(v_evs_H),X6,tc_nat)
| X5 = X6
| ~ c_lessequals(v_sko__urX(v_evs_H_H),X5,tc_nat)
| v_sko__urX(v_evs) = X5
| v_sko__urX(v_evs) = X6 ),
inference(resolution,[],[f40,f6]) ).
fof(f423,plain,
! [X1] :
( 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),X1,tc_nat)
| v_sko__urX(v_evs_H_H) = v_sko__urX(v_evs_H) ),
inference(superposition,[],[f8,f418]) ).
fof(f407,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| 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_H_H),X1,tc_nat) = X0
| v_sko__urX(v_evs_H_H) = X0 ),
inference(forward_demodulation,[],[f333,f319]) ).
fof(f333,plain,
! [X0,X1] :
( ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat)
| 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_H_H),X1,tc_nat) = X0
| v_sko__urX(v_evs) = X0 ),
inference(backward_demodulation,[],[f41,f319]) ).
fof(f41,plain,
! [X0,X1] :
( c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat) = X0
| v_sko__urX(v_evs) = X0
| v_sko__urX(v_evs) = c_plus(v_sko__urX(v_evs_H_H),X1,tc_nat)
| ~ c_lessequals(v_sko__urX(v_evs_H),X0,tc_nat) ),
inference(resolution,[],[f40,f8]) ).
fof(f73,plain,
! [X0,X1] : ~ c_lessequals(c_plus(X0,c_plus(c_1,X1,tc_nat),tc_nat),X1,tc_nat),
inference(backward_demodulation,[],[f23,f67]) ).
fof(f23,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,[],[f16,f12]) ).
fof(f12,axiom,
! [X8,X7] : ~ c_less(c_plus(X7,X8,tc_nat),X8,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV282-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:13:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (3548)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (3578)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51 % (3551)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (3549)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (3561)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (3554)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (3552)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (3559)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (3572)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (3566)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (3563)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (3550)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (3577)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (3547)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (3576)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (3553)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 TRYING [2]
% 0.19/0.54 % (3558)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (3548)Refutation not found, incomplete strategy% (3548)------------------------------
% 0.19/0.54 % (3548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (3548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (3548)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (3548)Memory used [KB]: 5756
% 0.19/0.54 % (3548)Time elapsed: 0.149 s
% 0.19/0.54 % (3548)Instructions burned: 19 (million)
% 0.19/0.54 % (3548)------------------------------
% 0.19/0.54 % (3548)------------------------------
% 0.19/0.54 % (3564)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (3565)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (3575)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 % (3568)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (3554)Instruction limit reached!
% 0.19/0.54 % (3554)------------------------------
% 0.19/0.54 % (3554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (3554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (3554)Termination reason: Unknown
% 0.19/0.54 % (3554)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (3554)Memory used [KB]: 5500
% 0.19/0.54 % (3554)Time elapsed: 0.139 s
% 0.19/0.54 % (3554)Instructions burned: 7 (million)
% 0.19/0.54 % (3554)------------------------------
% 0.19/0.54 % (3554)------------------------------
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (3555)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (3556)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (3570)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.55 % (3557)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (3573)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (3567)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (3562)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (3574)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 % (3571)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.56 TRYING [3]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 TRYING [4]
% 0.19/0.57 % (3555)Instruction limit reached!
% 0.19/0.57 % (3555)------------------------------
% 0.19/0.57 % (3555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (3555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3555)Termination reason: Unknown
% 0.19/0.57 % (3555)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (3555)Memory used [KB]: 5373
% 0.19/0.57 % (3555)Time elapsed: 0.002 s
% 0.19/0.57 % (3555)Instructions burned: 2 (million)
% 0.19/0.57 % (3555)------------------------------
% 0.19/0.57 % (3555)------------------------------
% 0.19/0.57 % (3549)Instruction limit reached!
% 0.19/0.57 % (3549)------------------------------
% 0.19/0.57 % (3549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (3549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3549)Termination reason: Unknown
% 0.19/0.57 % (3549)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (3549)Memory used [KB]: 1279
% 0.19/0.57 % (3549)Time elapsed: 0.157 s
% 0.19/0.57 % (3549)Instructions burned: 38 (million)
% 0.19/0.57 % (3549)------------------------------
% 0.19/0.57 % (3549)------------------------------
% 0.19/0.58 TRYING [4]
% 0.19/0.58 TRYING [4]
% 0.19/0.59 % (3551)Instruction limit reached!
% 0.19/0.59 % (3551)------------------------------
% 0.19/0.59 % (3551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (3550)Instruction limit reached!
% 1.91/0.61 % (3550)------------------------------
% 1.91/0.61 % (3550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (3552)Instruction limit reached!
% 1.91/0.61 % (3552)------------------------------
% 1.91/0.61 % (3552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (3551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (3551)Termination reason: Unknown
% 1.91/0.61 % (3551)Termination phase: Saturation
% 1.91/0.61
% 1.91/0.61 % (3551)Memory used [KB]: 5884
% 1.91/0.61 % (3551)Time elapsed: 0.203 s
% 1.91/0.61 % (3551)Instructions burned: 51 (million)
% 1.91/0.61 % (3551)------------------------------
% 1.91/0.61 % (3551)------------------------------
% 1.91/0.61 % (3565)Instruction limit reached!
% 1.91/0.61 % (3565)------------------------------
% 1.91/0.61 % (3565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (3565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (3565)Termination reason: Unknown
% 1.91/0.61 % (3565)Termination phase: Finite model building SAT solving
% 1.91/0.61
% 1.91/0.61 % (3565)Memory used [KB]: 7675
% 1.91/0.61 % (3565)Time elapsed: 0.176 s
% 1.91/0.61 % (3565)Instructions burned: 60 (million)
% 1.91/0.61 % (3565)------------------------------
% 1.91/0.61 % (3565)------------------------------
% 1.91/0.61 % (3550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (3550)Termination reason: Unknown
% 1.91/0.61 % (3550)Termination phase: Saturation
% 1.91/0.61
% 1.91/0.61 % (3550)Memory used [KB]: 6012
% 1.91/0.61 % (3550)Time elapsed: 0.205 s
% 1.91/0.61 % (3550)Instructions burned: 51 (million)
% 1.91/0.61 % (3550)------------------------------
% 1.91/0.61 % (3550)------------------------------
% 1.91/0.61 % (3553)Instruction limit reached!
% 1.91/0.61 % (3553)------------------------------
% 1.91/0.61 % (3553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (3553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (3553)Termination reason: Unknown
% 1.91/0.61 % (3553)Termination phase: Finite model building SAT solving
% 1.91/0.61
% 1.91/0.61 % (3553)Memory used [KB]: 7419
% 1.91/0.61 % (3553)Time elapsed: 0.165 s
% 1.91/0.61 % (3553)Instructions burned: 52 (million)
% 1.91/0.61 % (3553)------------------------------
% 1.91/0.61 % (3553)------------------------------
% 2.13/0.62 % (3556)First to succeed.
% 2.13/0.62 % (3556)Refutation found. Thanks to Tanya!
% 2.13/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.13/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.62 % (3556)------------------------------
% 2.13/0.62 % (3556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.62 % (3556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.62 % (3556)Termination reason: Refutation
% 2.13/0.62
% 2.13/0.62 % (3556)Memory used [KB]: 1279
% 2.13/0.62 % (3556)Time elapsed: 0.219 s
% 2.13/0.62 % (3556)Instructions burned: 50 (million)
% 2.13/0.62 % (3556)------------------------------
% 2.13/0.62 % (3556)------------------------------
% 2.13/0.62 % (3542)Success in time 0.27 s
%------------------------------------------------------------------------------