TSTP Solution File: KLE042+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE042+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n008.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 05:36:32 EDT 2023

% Result   : Theorem 0.23s 0.71s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  125 ( 108 unt;   0 def)
%            Number of atoms       :  144 ( 116 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (  22   ~;  14   |;   1   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :  119 (; 115   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11204,plain,
    $false,
    inference(subsumption_resolution,[],[f11203,f51]) ).

fof(f51,plain,
    sF4 != sF7,
    inference(definition_folding,[],[f27,f50,f49,f48,f47,f46,f45]) ).

fof(f45,plain,
    multiplication(sK0,sK1) = sF2,
    introduced(function_definition,[]) ).

fof(f46,plain,
    star(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f47,plain,
    multiplication(sF3,sK0) = sF4,
    introduced(function_definition,[]) ).

fof(f48,plain,
    multiplication(sK1,sK0) = sF5,
    introduced(function_definition,[]) ).

fof(f49,plain,
    star(sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f50,plain,
    multiplication(sK0,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f27,plain,
    multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(sK0,star(multiplication(sK1,sK0))),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(sK0,star(multiplication(sK1,sK0))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f24]) ).

fof(f24,plain,
    ( ? [X0,X1] : multiplication(star(multiplication(X0,X1)),X0) != multiplication(X0,star(multiplication(X1,X0)))
   => multiplication(star(multiplication(sK0,sK1)),sK0) != multiplication(sK0,star(multiplication(sK1,sK0))) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ? [X0,X1] : multiplication(star(multiplication(X0,X1)),X0) != multiplication(X0,star(multiplication(X1,X0))),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1] : multiplication(star(multiplication(X0,X1)),X0) = multiplication(X0,star(multiplication(X1,X0))),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X3,X4] : multiplication(star(multiplication(X3,X4)),X3) = multiplication(X3,star(multiplication(X4,X3))),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X3,X4] : multiplication(star(multiplication(X3,X4)),X3) = multiplication(X3,star(multiplication(X4,X3))),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',goals) ).

fof(f11203,plain,
    sF4 = sF7,
    inference(backward_demodulation,[],[f7836,f11202]) ).

fof(f11202,plain,
    sF4 = addition(sF7,sF4),
    inference(forward_demodulation,[],[f11201,f7824]) ).

fof(f7824,plain,
    sF7 = multiplication(sF4,sF6),
    inference(backward_demodulation,[],[f246,f7778]) ).

fof(f7778,plain,
    sF7 = multiplication(sF3,sF7),
    inference(superposition,[],[f7547,f4758]) ).

fof(f4758,plain,
    sF7 = addition(sF7,multiplication(sF3,sF7)),
    inference(superposition,[],[f4752,f36]) ).

fof(f36,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',additive_commutativity) ).

fof(f4752,plain,
    sF7 = addition(multiplication(sF3,sF7),sF7),
    inference(forward_demodulation,[],[f4751,f46]) ).

fof(f4751,plain,
    sF7 = addition(multiplication(star(sF2),sF7),sF7),
    inference(subsumption_resolution,[],[f4734,f33]) ).

fof(f33,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',additive_idempotence) ).

fof(f4734,plain,
    ( sF7 != addition(sF7,sF7)
    | sF7 = addition(multiplication(star(sF2),sF7),sF7) ),
    inference(superposition,[],[f55,f4693]) ).

fof(f4693,plain,
    sF7 = addition(multiplication(sF2,sF7),sF7),
    inference(superposition,[],[f184,f4647]) ).

fof(f4647,plain,
    sF7 = addition(sF7,multiplication(sF2,sF7)),
    inference(forward_demodulation,[],[f4646,f50]) ).

fof(f4646,plain,
    multiplication(sK0,sF6) = addition(sF7,multiplication(sF2,sF7)),
    inference(forward_demodulation,[],[f4597,f165]) ).

fof(f165,plain,
    ! [X12] : multiplication(sK0,multiplication(sK1,X12)) = multiplication(sF2,X12),
    inference(superposition,[],[f40,f45]) ).

fof(f40,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',multiplicative_associativity) ).

fof(f4597,plain,
    multiplication(sK0,sF6) = addition(sF7,multiplication(sK0,multiplication(sK1,sF7))),
    inference(superposition,[],[f281,f544]) ).

fof(f544,plain,
    sF6 = addition(sF6,multiplication(sK1,sF7)),
    inference(superposition,[],[f342,f232]) ).

fof(f232,plain,
    sF6 = addition(one,addition(sF6,multiplication(sK1,sF7))),
    inference(backward_demodulation,[],[f149,f225]) ).

fof(f225,plain,
    multiplication(sF5,sF6) = multiplication(sK1,sF7),
    inference(superposition,[],[f167,f50]) ).

fof(f167,plain,
    ! [X14] : multiplication(sK1,multiplication(sK0,X14)) = multiplication(sF5,X14),
    inference(superposition,[],[f40,f48]) ).

fof(f149,plain,
    sF6 = addition(one,addition(sF6,multiplication(sF5,sF6))),
    inference(forward_demodulation,[],[f124,f36]) ).

fof(f124,plain,
    sF6 = addition(one,addition(multiplication(sF5,sF6),sF6)),
    inference(superposition,[],[f39,f74]) ).

fof(f74,plain,
    sF6 = addition(addition(one,multiplication(sF5,sF6)),sF6),
    inference(forward_literal_rewriting,[],[f69,f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | addition(X0,X1) = X1 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | addition(X0,X1) != X1 )
      & ( addition(X0,X1) = X1
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> addition(X0,X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',order) ).

fof(f69,plain,
    leq(addition(one,multiplication(sF5,sF6)),sF6),
    inference(superposition,[],[f34,f49]) ).

fof(f34,plain,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',star_unfold_right) ).

fof(f39,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',additive_associativity) ).

fof(f342,plain,
    ! [X0] : addition(sF6,X0) = addition(one,addition(sF6,X0)),
    inference(superposition,[],[f39,f338]) ).

fof(f338,plain,
    sF6 = addition(one,sF6),
    inference(superposition,[],[f106,f150]) ).

fof(f150,plain,
    sF6 = addition(one,addition(sF6,multiplication(sF6,sF5))),
    inference(forward_demodulation,[],[f125,f36]) ).

fof(f125,plain,
    sF6 = addition(one,addition(multiplication(sF6,sF5),sF6)),
    inference(superposition,[],[f39,f84]) ).

fof(f84,plain,
    sF6 = addition(addition(one,multiplication(sF6,sF5)),sF6),
    inference(forward_literal_rewriting,[],[f79,f37]) ).

fof(f79,plain,
    leq(addition(one,multiplication(sF6,sF5)),sF6),
    inference(superposition,[],[f35,f49]) ).

fof(f35,plain,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',star_unfold_left) ).

fof(f106,plain,
    ! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
    inference(superposition,[],[f39,f33]) ).

fof(f281,plain,
    ! [X13] : multiplication(sK0,addition(sF6,X13)) = addition(sF7,multiplication(sK0,X13)),
    inference(superposition,[],[f41,f50]) ).

fof(f41,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',right_distributivity) ).

fof(f184,plain,
    ! [X2,X1] : addition(X2,X1) = addition(X1,addition(X2,X1)),
    inference(superposition,[],[f106,f36]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( addition(addition(multiplication(X0,X1),X2),X1) != X1
      | addition(multiplication(star(X0),X2),X1) = X1 ),
    inference(forward_literal_rewriting,[],[f54,f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | addition(X0,X1) != X1 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( addition(multiplication(star(X0),X2),X1) = X1
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(forward_literal_rewriting,[],[f44,f37]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(star(X0),X2),X1)
      | ~ leq(addition(multiplication(X0,X1),X2),X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X1)
     => leq(multiplication(star(X0),X2),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',star_induction_left) ).

fof(f7547,plain,
    ! [X20] : multiplication(sF3,X20) = addition(X20,multiplication(sF3,X20)),
    inference(superposition,[],[f471,f270]) ).

fof(f270,plain,
    sF3 = addition(one,sF3),
    inference(superposition,[],[f106,f147]) ).

fof(f147,plain,
    sF3 = addition(one,addition(sF3,multiplication(sF2,sF3))),
    inference(forward_demodulation,[],[f122,f36]) ).

fof(f122,plain,
    sF3 = addition(one,addition(multiplication(sF2,sF3),sF3)),
    inference(superposition,[],[f39,f73]) ).

fof(f73,plain,
    sF3 = addition(addition(one,multiplication(sF2,sF3)),sF3),
    inference(forward_literal_rewriting,[],[f68,f37]) ).

fof(f68,plain,
    leq(addition(one,multiplication(sF2,sF3)),sF3),
    inference(superposition,[],[f34,f46]) ).

fof(f471,plain,
    ! [X10,X11] : multiplication(addition(one,X11),X10) = addition(X10,multiplication(X11,X10)),
    inference(superposition,[],[f42,f32]) ).

fof(f32,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',multiplicative_left_identity) ).

fof(f42,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',left_distributivity) ).

fof(f246,plain,
    multiplication(sF4,sF6) = multiplication(sF3,sF7),
    inference(superposition,[],[f168,f50]) ).

fof(f168,plain,
    ! [X15] : multiplication(sF3,multiplication(sK0,X15)) = multiplication(sF4,X15),
    inference(superposition,[],[f40,f47]) ).

fof(f11201,plain,
    sF4 = addition(multiplication(sF4,sF6),sF4),
    inference(forward_demodulation,[],[f11200,f49]) ).

fof(f11200,plain,
    sF4 = addition(multiplication(sF4,star(sF5)),sF4),
    inference(subsumption_resolution,[],[f11178,f33]) ).

fof(f11178,plain,
    ( sF4 != addition(sF4,sF4)
    | sF4 = addition(multiplication(sF4,star(sF5)),sF4) ),
    inference(superposition,[],[f53,f11098]) ).

fof(f11098,plain,
    sF4 = addition(multiplication(sF4,sF5),sF4),
    inference(forward_demodulation,[],[f11079,f7689]) ).

fof(f7689,plain,
    sF4 = addition(sK0,sF4),
    inference(forward_demodulation,[],[f7671,f31]) ).

fof(f31,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',multiplicative_right_identity) ).

fof(f7671,plain,
    multiplication(sF4,one) = addition(sK0,sF4),
    inference(superposition,[],[f7649,f31]) ).

fof(f7649,plain,
    ! [X24] : multiplication(sF4,X24) = multiplication(addition(sK0,sF4),X24),
    inference(forward_demodulation,[],[f7648,f168]) ).

fof(f7648,plain,
    ! [X24] : multiplication(sF3,multiplication(sK0,X24)) = multiplication(addition(sK0,sF4),X24),
    inference(forward_demodulation,[],[f7647,f270]) ).

fof(f7647,plain,
    ! [X24] : multiplication(addition(one,sF3),multiplication(sK0,X24)) = multiplication(addition(sK0,sF4),X24),
    inference(forward_demodulation,[],[f7580,f42]) ).

fof(f7580,plain,
    ! [X24] : multiplication(addition(one,sF3),multiplication(sK0,X24)) = addition(multiplication(sK0,X24),multiplication(sF4,X24)),
    inference(superposition,[],[f471,f168]) ).

fof(f11079,plain,
    addition(sK0,sF4) = addition(multiplication(sF4,sF5),sF4),
    inference(superposition,[],[f7722,f11005]) ).

fof(f11005,plain,
    sF4 = addition(sF4,multiplication(sF4,sF5)),
    inference(forward_demodulation,[],[f11004,f47]) ).

fof(f11004,plain,
    multiplication(sF3,sK0) = addition(sF4,multiplication(sF4,sF5)),
    inference(forward_demodulation,[],[f11003,f168]) ).

fof(f11003,plain,
    multiplication(sF3,sK0) = addition(sF4,multiplication(sF3,multiplication(sK0,sF5))),
    inference(forward_demodulation,[],[f11002,f207]) ).

fof(f207,plain,
    multiplication(sF2,sK0) = multiplication(sK0,sF5),
    inference(superposition,[],[f165,f48]) ).

fof(f11002,plain,
    multiplication(sF3,sK0) = addition(sF4,multiplication(sF3,multiplication(sF2,sK0))),
    inference(forward_demodulation,[],[f10953,f40]) ).

fof(f10953,plain,
    multiplication(sF3,sK0) = addition(sF4,multiplication(multiplication(sF3,sF2),sK0)),
    inference(superposition,[],[f479,f435]) ).

fof(f435,plain,
    sF3 = addition(sF3,multiplication(sF3,sF2)),
    inference(superposition,[],[f274,f148]) ).

fof(f148,plain,
    sF3 = addition(one,addition(sF3,multiplication(sF3,sF2))),
    inference(forward_demodulation,[],[f123,f36]) ).

fof(f123,plain,
    sF3 = addition(one,addition(multiplication(sF3,sF2),sF3)),
    inference(superposition,[],[f39,f83]) ).

fof(f83,plain,
    sF3 = addition(addition(one,multiplication(sF3,sF2)),sF3),
    inference(forward_literal_rewriting,[],[f78,f37]) ).

fof(f78,plain,
    leq(addition(one,multiplication(sF3,sF2)),sF3),
    inference(superposition,[],[f35,f46]) ).

fof(f274,plain,
    ! [X0] : addition(sF3,X0) = addition(one,addition(sF3,X0)),
    inference(superposition,[],[f39,f270]) ).

fof(f479,plain,
    ! [X22] : multiplication(addition(sF3,X22),sK0) = addition(sF4,multiplication(X22,sK0)),
    inference(superposition,[],[f42,f47]) ).

fof(f7722,plain,
    ! [X2] : addition(X2,sF4) = addition(sK0,addition(sF4,X2)),
    inference(superposition,[],[f129,f7689]) ).

fof(f129,plain,
    ! [X8,X9,X7] : addition(X7,addition(X8,X9)) = addition(X9,addition(X7,X8)),
    inference(superposition,[],[f39,f36]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( addition(addition(multiplication(X0,X1),X2),X0) != X0
      | addition(multiplication(X2,star(X1)),X0) = X0 ),
    inference(forward_literal_rewriting,[],[f52,f38]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( addition(multiplication(X2,star(X1)),X0) = X0
      | ~ leq(addition(multiplication(X0,X1),X2),X0) ),
    inference(forward_literal_rewriting,[],[f43,f37]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( leq(multiplication(X2,star(X1)),X0)
      | ~ leq(addition(multiplication(X0,X1),X2),X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( leq(multiplication(X2,star(X1)),X0)
      | ~ leq(addition(multiplication(X0,X1),X2),X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( leq(addition(multiplication(X0,X1),X2),X0)
     => leq(multiplication(X2,star(X1)),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',star_induction_right) ).

fof(f7836,plain,
    sF7 = addition(sF7,sF4),
    inference(backward_demodulation,[],[f4124,f7778]) ).

fof(f4124,plain,
    multiplication(sF3,sF7) = addition(multiplication(sF3,sF7),sF4),
    inference(forward_demodulation,[],[f4118,f56]) ).

fof(f56,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f36,f30]) ).

fof(f30,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173',additive_identity) ).

fof(f4118,plain,
    addition(multiplication(sF3,sF7),sF4) = addition(zero,multiplication(sF3,sF7)),
    inference(superposition,[],[f1268,f3140]) ).

fof(f3140,plain,
    multiplication(sF3,sF7) = addition(sF4,multiplication(sF3,sF7)),
    inference(superposition,[],[f2981,f246]) ).

fof(f2981,plain,
    ! [X15] : multiplication(X15,sF6) = addition(X15,multiplication(X15,sF6)),
    inference(superposition,[],[f276,f338]) ).

fof(f276,plain,
    ! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
    inference(superposition,[],[f41,f31]) ).

fof(f1268,plain,
    ! [X36,X37] : addition(X37,X36) = addition(zero,addition(X36,X37)),
    inference(superposition,[],[f129,f56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE042+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 11:01:32 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.KEt6rKCGg4/Vampire---4.8_7173
% 0.15/0.37  % (7285)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.41  % (7288)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)
% 0.23/0.43  % (7287)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)
% 0.23/0.43  % (7289)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)
% 0.23/0.43  % (7286)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)
% 0.23/0.43  % (7290)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)
% 0.23/0.43  % (7292)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.43  % (7291)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)
% 0.23/0.43  % (7290)Refutation not found, incomplete strategy% (7290)------------------------------
% 0.23/0.43  % (7290)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.43  % (7290)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.43  % (7290)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43  
% 0.23/0.43  % (7290)Memory used [KB]: 895
% 0.23/0.43  % (7290)Time elapsed: 0.003 s
% 0.23/0.43  % (7290)------------------------------
% 0.23/0.43  % (7290)------------------------------
% 0.23/0.49  % (7293)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.23/0.49  % (7293)Refutation not found, incomplete strategy% (7293)------------------------------
% 0.23/0.49  % (7293)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.49  % (7293)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.49  % (7293)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49  
% 0.23/0.49  % (7293)Memory used [KB]: 895
% 0.23/0.49  % (7293)Time elapsed: 0.003 s
% 0.23/0.49  % (7293)------------------------------
% 0.23/0.49  % (7293)------------------------------
% 0.23/0.53  % (7295)lrs-11_16_av=off:bs=on:bsr=on:drc=off:fsd=off:fsr=off:nm=4:sp=scramble:tgt=ground:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.23/0.71  % (7292)First to succeed.
% 0.23/0.71  % (7292)Refutation found. Thanks to Tanya!
% 0.23/0.71  % SZS status Theorem for Vampire---4
% 0.23/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.71  % (7292)------------------------------
% 0.23/0.71  % (7292)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.71  % (7292)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.71  % (7292)Termination reason: Refutation
% 0.23/0.71  
% 0.23/0.71  % (7292)Memory used [KB]: 9722
% 0.23/0.71  % (7292)Time elapsed: 0.282 s
% 0.23/0.71  % (7292)------------------------------
% 0.23/0.71  % (7292)------------------------------
% 0.23/0.71  % (7285)Success in time 0.319 s
% 0.23/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------