TSTP Solution File: SWV601-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV601-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n023.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 18:53:25 EDT 2022

% Result   : Unsatisfiable 2.52s 0.80s
% Output   : Refutation 2.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  18 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   6 con; 0-3 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1119,plain,
    $false,
    inference(subsumption_resolution,[],[f1118,f777]) ).

fof(f777,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__zero__not__eq__one_0) ).

fof(f1118,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(forward_demodulation,[],[f1117,f310]) ).

fof(f310,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).

fof(f1117,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(forward_demodulation,[],[f1107,f1098]) ).

fof(f1098,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),
    inference(subsumption_resolution,[],[f1093,f727]) ).

fof(f727,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Complex__eq__0_2) ).

fof(f1093,plain,
    ( c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
    inference(superposition,[],[f729,f1089]) ).

fof(f1089,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal))),
    inference(forward_demodulation,[],[f1088,f728]) ).

fof(f728,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__zero__def_0) ).

fof(f1088,plain,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal))),
    inference(forward_demodulation,[],[f1071,f868]) ).

fof(f868,axiom,
    ! [X8,X7] : c_HOL_Otimes__class_Otimes(X8,X7,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X7,X8,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).

fof(f1071,plain,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal))),
    inference(definition_unfolding,[],[f880,f786]) ).

fof(f786,axiom,
    ! [X4] : c_Transcendental_Osin(X4) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X4,tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__cos__eq_0) ).

fof(f880,axiom,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f729,axiom,
    ! [X2,X3] :
      ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(X2,X3)
      | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Complex__eq__0_1) ).

fof(f1107,plain,
    c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(superposition,[],[f1063,f1096]) ).

fof(f1096,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),
    inference(subsumption_resolution,[],[f1090,f727]) ).

fof(f1090,plain,
    ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal))
    | c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(superposition,[],[f730,f1089]) ).

fof(f730,axiom,
    ! [X2,X3] :
      ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(X2,X3)
      | c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Complex__eq__0_0) ).

fof(f1063,plain,
    ! [X4] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X4,tc_RealDef_Oreal)),c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X4,tc_RealDef_Oreal)),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(definition_unfolding,[],[f566,f786,f786]) ).

fof(f566,axiom,
    ! [X4] : c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X4),c_Transcendental_Ocos(X4),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X4),c_Transcendental_Osin(X4),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__cos__squared__add3_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV601-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n023.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 20:07:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.07/0.64  % (4439)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.62/0.64  % (4455)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.62/0.65  % (4447)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.62/0.65  % (4437)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.62/0.65  % (4440)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.67  % (4448)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.83/0.68  % (4433)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.83/0.68  % (4448)Instruction limit reached!
% 1.83/0.68  % (4448)------------------------------
% 1.83/0.68  % (4448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.68  % (4435)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.83/0.68  % (4456)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.83/0.68  % (4436)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.83/0.69  % (4461)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.83/0.69  % (4448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.69  % (4448)Termination reason: Unknown
% 1.83/0.69  % (4448)Termination phase: Function definition elimination
% 1.83/0.69  
% 1.83/0.69  % (4448)Memory used [KB]: 2302
% 1.83/0.69  % (4448)Time elapsed: 0.008 s
% 1.83/0.69  % (4448)Instructions burned: 7 (million)
% 1.83/0.69  % (4448)------------------------------
% 1.83/0.69  % (4448)------------------------------
% 1.83/0.69  % (4434)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.83/0.69  % (4445)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.83/0.70  % (4438)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.83/0.70  % (4458)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.83/0.70  % (4453)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.83/0.70  % (4453)Instruction limit reached!
% 1.83/0.70  % (4453)------------------------------
% 1.83/0.70  % (4453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70  % (4453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70  % (4453)Termination reason: Unknown
% 1.83/0.70  % (4453)Termination phase: SInE selection
% 1.83/0.70  
% 1.83/0.70  % (4453)Memory used [KB]: 2302
% 1.83/0.70  % (4453)Time elapsed: 0.006 s
% 1.83/0.70  % (4453)Instructions burned: 6 (million)
% 1.83/0.70  % (4453)------------------------------
% 1.83/0.70  % (4453)------------------------------
% 1.83/0.70  % (4452)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.83/0.70  % (4451)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.83/0.70  % (4462)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.83/0.70  % (4447)Instruction limit reached!
% 1.83/0.70  % (4447)------------------------------
% 1.83/0.70  % (4447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70  % (4442)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.83/0.70  % (4435)Instruction limit reached!
% 1.83/0.70  % (4435)------------------------------
% 1.83/0.70  % (4435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.70  % (4435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.70  % (4435)Termination reason: Unknown
% 1.83/0.70  % (4435)Termination phase: Function definition elimination
% 1.83/0.70  
% 1.83/0.70  % (4435)Memory used [KB]: 2302
% 1.83/0.70  % (4435)Time elapsed: 0.006 s
% 1.83/0.70  % (4435)Instructions burned: 4 (million)
% 1.83/0.70  % (4435)------------------------------
% 1.83/0.70  % (4435)------------------------------
% 1.83/0.71  % (4441)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.71  % (4447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.71  % (4447)Termination reason: Unknown
% 1.83/0.71  % (4447)Termination phase: Blocked clause elimination
% 1.83/0.71  
% 1.83/0.71  % (4447)Memory used [KB]: 2686
% 1.83/0.71  % (4447)Time elapsed: 0.025 s
% 1.83/0.71  % (4447)Instructions burned: 30 (million)
% 1.83/0.71  % (4447)------------------------------
% 1.83/0.71  % (4447)------------------------------
% 1.83/0.71  % (4443)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.83/0.71  % (4454)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.83/0.71  % (4441)Instruction limit reached!
% 1.83/0.71  % (4441)------------------------------
% 1.83/0.71  % (4441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.71  % (4441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.71  % (4441)Termination reason: Unknown
% 1.83/0.71  % (4441)Termination phase: shuffling
% 1.83/0.71  
% 1.83/0.71  % (4441)Memory used [KB]: 2302
% 1.83/0.71  % (4441)Time elapsed: 0.004 s
% 1.83/0.71  % (4441)Instructions burned: 3 (million)
% 1.83/0.71  % (4441)------------------------------
% 1.83/0.71  % (4441)------------------------------
% 1.83/0.71  % (4450)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.83/0.71  % (4459)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.83/0.71  % (4457)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.83/0.72  % (4444)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.83/0.72  % (4445)Instruction limit reached!
% 1.83/0.72  % (4445)------------------------------
% 1.83/0.72  % (4445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.72  % (4445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.72  % (4445)Termination reason: Unknown
% 1.83/0.72  % (4445)Termination phase: Function definition elimination
% 1.83/0.72  
% 1.83/0.72  % (4445)Memory used [KB]: 2302
% 1.83/0.72  % (4445)Time elapsed: 0.007 s
% 1.83/0.72  % (4445)Instructions burned: 6 (million)
% 1.83/0.72  % (4445)------------------------------
% 1.83/0.72  % (4445)------------------------------
% 1.83/0.72  % (4449)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.83/0.72  % (4449)Instruction limit reached!
% 1.83/0.72  % (4449)------------------------------
% 1.83/0.72  % (4449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.72  % (4449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.72  % (4449)Termination reason: Unknown
% 1.83/0.72  % (4449)Termination phase: shuffling
% 1.83/0.72  
% 1.83/0.72  % (4449)Memory used [KB]: 2174
% 1.83/0.72  % (4449)Time elapsed: 0.003 s
% 1.83/0.72  % (4449)Instructions burned: 2 (million)
% 1.83/0.72  % (4449)------------------------------
% 1.83/0.72  % (4449)------------------------------
% 1.83/0.72  % (4439)Instruction limit reached!
% 1.83/0.72  % (4439)------------------------------
% 1.83/0.72  % (4439)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.72  % (4439)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.72  % (4439)Termination reason: Unknown
% 1.83/0.72  % (4439)Termination phase: Saturation
% 1.83/0.72  
% 1.83/0.72  % (4439)Memory used [KB]: 2430
% 1.83/0.72  % (4439)Time elapsed: 0.212 s
% 1.83/0.72  % (4439)Instructions burned: 49 (million)
% 1.83/0.72  % (4439)------------------------------
% 1.83/0.72  % (4439)------------------------------
% 1.83/0.72  % (4460)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.83/0.72  % (4446)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.83/0.72  % (4446)Instruction limit reached!
% 1.83/0.72  % (4446)------------------------------
% 1.83/0.72  % (4446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.72  % (4446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.72  % (4446)Termination reason: Unknown
% 1.83/0.72  % (4446)Termination phase: SInE selection
% 1.83/0.72  
% 1.83/0.72  % (4446)Memory used [KB]: 2174
% 1.83/0.72  % (4446)Time elapsed: 0.005 s
% 1.83/0.72  % (4446)Instructions burned: 3 (million)
% 1.83/0.72  % (4446)------------------------------
% 1.83/0.72  % (4446)------------------------------
% 2.31/0.73  % (4452)Instruction limit reached!
% 2.31/0.73  % (4452)------------------------------
% 2.31/0.73  % (4452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.73  % (4452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.73  % (4452)Termination reason: Unknown
% 2.31/0.73  % (4452)Termination phase: Function definition elimination
% 2.31/0.73  
% 2.31/0.73  % (4452)Memory used [KB]: 2302
% 2.31/0.73  % (4452)Time elapsed: 0.007 s
% 2.31/0.73  % (4452)Instructions burned: 7 (million)
% 2.31/0.73  % (4452)------------------------------
% 2.31/0.73  % (4452)------------------------------
% 2.31/0.73  % (4443)Instruction limit reached!
% 2.31/0.73  % (4443)------------------------------
% 2.31/0.73  % (4443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.73  % (4443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.73  % (4443)Termination reason: Unknown
% 2.31/0.73  % (4443)Termination phase: SInE selection
% 2.31/0.73  
% 2.31/0.73  % (4443)Memory used [KB]: 2302
% 2.31/0.73  % (4443)Time elapsed: 0.008 s
% 2.31/0.73  % (4443)Instructions burned: 7 (million)
% 2.31/0.73  % (4443)------------------------------
% 2.31/0.73  % (4443)------------------------------
% 2.31/0.74  % (4450)Instruction limit reached!
% 2.31/0.74  % (4450)------------------------------
% 2.31/0.74  % (4450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.74  % (4450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.74  % (4450)Termination reason: Unknown
% 2.31/0.74  % (4450)Termination phase: Property scanning
% 2.31/0.74  
% 2.31/0.74  % (4450)Memory used [KB]: 2430
% 2.31/0.74  % (4450)Time elapsed: 0.009 s
% 2.31/0.74  % (4450)Instructions burned: 8 (million)
% 2.31/0.74  % (4450)------------------------------
% 2.31/0.74  % (4450)------------------------------
% 2.31/0.74  % (4461)Instruction limit reached!
% 2.31/0.74  % (4461)------------------------------
% 2.31/0.74  % (4461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.74  % (4461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.74  % (4461)Termination reason: Unknown
% 2.31/0.74  % (4461)Termination phase: Function definition elimination
% 2.31/0.74  
% 2.31/0.74  % (4461)Memory used [KB]: 2302
% 2.31/0.74  % (4461)Time elapsed: 0.017 s
% 2.31/0.74  % (4461)Instructions burned: 20 (million)
% 2.31/0.74  % (4461)------------------------------
% 2.31/0.74  % (4461)------------------------------
% 2.31/0.74  % (4438)Instruction limit reached!
% 2.31/0.74  % (4438)------------------------------
% 2.31/0.74  % (4438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.74  % (4438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.74  % (4438)Termination reason: Unknown
% 2.31/0.74  % (4438)Termination phase: Saturation
% 2.31/0.74  
% 2.31/0.74  % (4438)Memory used [KB]: 6908
% 2.31/0.74  % (4438)Time elapsed: 0.019 s
% 2.31/0.74  % (4438)Instructions burned: 25 (million)
% 2.31/0.74  % (4438)------------------------------
% 2.31/0.74  % (4438)------------------------------
% 2.31/0.75  % (4437)Instruction limit reached!
% 2.31/0.75  % (4437)------------------------------
% 2.31/0.75  % (4437)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.75  % (4437)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.75  % (4437)Termination reason: Unknown
% 2.31/0.75  % (4437)Termination phase: Saturation
% 2.31/0.75  
% 2.31/0.75  % (4437)Memory used [KB]: 7419
% 2.31/0.75  % (4437)Time elapsed: 0.241 s
% 2.31/0.75  % (4437)Instructions burned: 34 (million)
% 2.31/0.75  % (4437)------------------------------
% 2.31/0.75  % (4437)------------------------------
% 2.31/0.75  % (4456)Instruction limit reached!
% 2.31/0.75  % (4456)------------------------------
% 2.31/0.75  % (4456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.75  % (4456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.75  % (4456)Termination reason: Unknown
% 2.31/0.75  % (4456)Termination phase: Saturation
% 2.31/0.75  
% 2.31/0.75  % (4456)Memory used [KB]: 2430
% 2.31/0.75  % (4456)Time elapsed: 0.033 s
% 2.31/0.75  % (4456)Instructions burned: 38 (million)
% 2.31/0.75  % (4456)------------------------------
% 2.31/0.75  % (4456)------------------------------
% 2.52/0.75  % (4440)Instruction limit reached!
% 2.52/0.75  % (4440)------------------------------
% 2.52/0.75  % (4440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.75  % (4440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.75  % (4440)Termination reason: Unknown
% 2.52/0.75  % (4440)Termination phase: Blocked clause elimination
% 2.52/0.75  
% 2.52/0.75  % (4440)Memory used [KB]: 2686
% 2.52/0.75  % (4440)Time elapsed: 0.047 s
% 2.52/0.75  % (4440)Instructions burned: 51 (million)
% 2.52/0.75  % (4440)------------------------------
% 2.52/0.75  % (4440)------------------------------
% 2.52/0.76  % (4444)Instruction limit reached!
% 2.52/0.76  % (4444)------------------------------
% 2.52/0.76  % (4444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.76  % (4444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.76  % (4444)Termination reason: Unknown
% 2.52/0.76  % (4444)Termination phase: Saturation
% 2.52/0.76  
% 2.52/0.76  % (4444)Memory used [KB]: 2430
% 2.52/0.76  % (4444)Time elapsed: 0.019 s
% 2.52/0.76  % (4444)Instructions burned: 23 (million)
% 2.52/0.76  % (4444)------------------------------
% 2.52/0.76  % (4444)------------------------------
% 2.52/0.77  % (4451)Instruction limit reached!
% 2.52/0.77  % (4451)------------------------------
% 2.52/0.77  % (4451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.77  % (4451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.77  % (4451)Termination reason: Unknown
% 2.52/0.77  % (4451)Termination phase: Saturation
% 2.52/0.77  
% 2.52/0.77  % (4451)Memory used [KB]: 7164
% 2.52/0.77  % (4451)Time elapsed: 0.023 s
% 2.52/0.77  % (4451)Instructions burned: 29 (million)
% 2.52/0.77  % (4451)------------------------------
% 2.52/0.77  % (4451)------------------------------
% 2.52/0.80  % (4460)First to succeed.
% 2.52/0.80  % (4434)Instruction limit reached!
% 2.52/0.80  % (4434)------------------------------
% 2.52/0.80  % (4434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.80  % (4434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.80  % (4434)Termination reason: Unknown
% 2.52/0.80  % (4434)Termination phase: Saturation
% 2.52/0.80  
% 2.52/0.80  % (4434)Memory used [KB]: 3198
% 2.52/0.80  % (4434)Time elapsed: 0.033 s
% 2.52/0.80  % (4434)Instructions burned: 42 (million)
% 2.52/0.80  % (4434)------------------------------
% 2.52/0.80  % (4434)------------------------------
% 2.52/0.80  % (4460)Refutation found. Thanks to Tanya!
% 2.52/0.80  % SZS status Unsatisfiable for theBenchmark
% 2.52/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.80  % (4460)------------------------------
% 2.52/0.80  % (4460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.80  % (4460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.80  % (4460)Termination reason: Refutation
% 2.52/0.80  
% 2.52/0.80  % (4460)Memory used [KB]: 3070
% 2.52/0.80  % (4460)Time elapsed: 0.291 s
% 2.52/0.80  % (4460)Instructions burned: 35 (million)
% 2.52/0.80  % (4460)------------------------------
% 2.52/0.80  % (4460)------------------------------
% 2.52/0.80  % (4402)Success in time 0.455 s
%------------------------------------------------------------------------------