TSTP Solution File: KLE111+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : KLE111+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n027.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 : Mon Jun 24 10:06:49 EDT 2024

% Result   : Theorem 4.07s 1.07s
% Output   : Refutation 4.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  237 ( 236 unt;   0 def)
%            Number of atoms       :  238 ( 232 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   20 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  23 con; 0-2 aty)
%            Number of variables   :  215 ( 211   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11790,plain,
    $false,
    inference(subsumption_resolution,[],[f11768,f103]) ).

fof(f103,plain,
    ~ sP2(sF4),
    inference(definition_folding,[],[f81,f84,f83]) ).

fof(f83,plain,
    antidomain(sK1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f84,plain,
    antidomain(sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f81,plain,
    ~ sP2(antidomain(antidomain(sK1))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f11768,plain,
    sP2(sF4),
    inference(backward_demodulation,[],[f102,f11767]) ).

fof(f11767,plain,
    sF4 = sF21,
    inference(backward_demodulation,[],[f101,f11766]) ).

fof(f11766,plain,
    sF4 = addition(sF20,sF4),
    inference(forward_demodulation,[],[f11765,f53]) ).

fof(f53,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f11765,plain,
    addition(sF20,sF4) = multiplication(one,sF4),
    inference(forward_demodulation,[],[f11748,f873]) ).

fof(f873,plain,
    one = addition(sF20,one),
    inference(superposition,[],[f173,f144]) ).

fof(f144,plain,
    one = addition(sF20,sF19),
    inference(forward_demodulation,[],[f137,f100]) ).

fof(f100,plain,
    coantidomain(sF19) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f137,plain,
    one = addition(coantidomain(sF19),sF19),
    inference(superposition,[],[f60,f99]) ).

fof(f99,plain,
    coantidomain(sF18) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f60,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f173,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
    inference(superposition,[],[f70,f54]) ).

fof(f54,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f70,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,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/benchmark/theBenchmark.p',unknown) ).

fof(f11748,plain,
    addition(sF20,sF4) = multiplication(addition(sF20,one),sF4),
    inference(superposition,[],[f387,f11170]) ).

fof(f11170,plain,
    sF20 = multiplication(sF20,sF4),
    inference(forward_demodulation,[],[f11169,f51]) ).

fof(f51,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f11169,plain,
    addition(sF20,zero) = multiplication(sF20,sF4),
    inference(forward_demodulation,[],[f11168,f11134]) ).

fof(f11134,plain,
    ! [X0] : multiplication(sF20,X0) = multiplication(sF20,addition(X0,sF3)),
    inference(forward_demodulation,[],[f11101,f51]) ).

fof(f11101,plain,
    ! [X0] : addition(multiplication(sF20,X0),zero) = multiplication(sF20,addition(X0,sF3)),
    inference(superposition,[],[f72,f11070]) ).

fof(f11070,plain,
    zero = multiplication(sF20,sF3),
    inference(forward_demodulation,[],[f11050,f52]) ).

fof(f52,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f11050,plain,
    zero = multiplication(sF20,multiplication(sF3,one)),
    inference(superposition,[],[f214,f8172]) ).

fof(f8172,plain,
    one = coantidomain(multiplication(sF20,sF3)),
    inference(forward_demodulation,[],[f8171,f8134]) ).

fof(f8134,plain,
    ! [X0] : one = addition(one,coantidomain(X0)),
    inference(superposition,[],[f850,f62]) ).

fof(f62,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/benchmark/theBenchmark.p',unknown) ).

fof(f850,plain,
    ! [X0] : one = addition(coantidomain(X0),one),
    inference(superposition,[],[f173,f139]) ).

fof(f139,plain,
    ! [X0] : one = addition(coantidomain(X0),coantidomain(coantidomain(X0))),
    inference(superposition,[],[f60,f62]) ).

fof(f8171,plain,
    coantidomain(multiplication(sF20,sF3)) = addition(one,coantidomain(multiplication(sF20,sF3))),
    inference(backward_demodulation,[],[f7251,f8164]) ).

fof(f8164,plain,
    one = coantidomain(multiplication(sF17,sF10)),
    inference(backward_demodulation,[],[f7035,f8134]) ).

fof(f7035,plain,
    coantidomain(multiplication(sF17,sF10)) = addition(one,coantidomain(multiplication(sF17,sF10))),
    inference(backward_demodulation,[],[f5945,f6978]) ).

fof(f6978,plain,
    one = coantidomain(zero),
    inference(superposition,[],[f6958,f49]) ).

fof(f49,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6958,plain,
    ! [X0] : one = coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),
    inference(forward_demodulation,[],[f6957,f6359]) ).

fof(f6359,plain,
    ! [X0] : one = addition(sF4,addition(sF3,coantidomain(X0))),
    inference(forward_demodulation,[],[f6320,f848]) ).

fof(f848,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),one),
    inference(superposition,[],[f173,f60]) ).

fof(f6320,plain,
    ! [X0] : addition(sF4,addition(sF3,coantidomain(X0))) = addition(coantidomain(coantidomain(coantidomain(X0))),one),
    inference(superposition,[],[f620,f60]) ).

fof(f620,plain,
    ! [X0,X1] : addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)) = addition(sF4,addition(sF3,X1)),
    inference(backward_demodulation,[],[f608,f617]) ).

fof(f617,plain,
    ! [X0] : addition(sF17,addition(sF16,X0)) = addition(sF4,addition(sF3,X0)),
    inference(backward_demodulation,[],[f603,f616]) ).

fof(f616,plain,
    ! [X0] : addition(one,X0) = addition(sF4,addition(sF3,X0)),
    inference(superposition,[],[f70,f162]) ).

fof(f162,plain,
    one = addition(sF4,sF3),
    inference(forward_demodulation,[],[f146,f84]) ).

fof(f146,plain,
    one = addition(antidomain(sF3),sF3),
    inference(superposition,[],[f61,f83]) ).

fof(f61,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f603,plain,
    ! [X0] : addition(one,X0) = addition(sF17,addition(sF16,X0)),
    inference(superposition,[],[f70,f143]) ).

fof(f143,plain,
    one = addition(sF17,sF16),
    inference(forward_demodulation,[],[f135,f97]) ).

fof(f97,plain,
    coantidomain(sF16) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f135,plain,
    one = addition(coantidomain(sF16),sF16),
    inference(superposition,[],[f60,f96]) ).

fof(f96,plain,
    coantidomain(sF15) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f608,plain,
    ! [X0,X1] : addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)) = addition(sF17,addition(sF16,X1)),
    inference(backward_demodulation,[],[f178,f603]) ).

fof(f178,plain,
    ! [X0,X1] : addition(one,X1) = addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)),
    inference(superposition,[],[f70,f60]) ).

fof(f6957,plain,
    ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(sF4,addition(sF3,coantidomain(zero))),
    inference(forward_demodulation,[],[f6956,f173]) ).

fof(f6956,plain,
    ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(sF4,addition(sF3,addition(sF3,coantidomain(zero)))),
    inference(forward_demodulation,[],[f6955,f1318]) ).

fof(f1318,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X0,addition(X1,addition(X0,X2))),
    inference(forward_demodulation,[],[f1317,f70]) ).

fof(f1317,plain,
    ! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X0,addition(X1,addition(X0,X2))),
    inference(forward_demodulation,[],[f1255,f70]) ).

fof(f1255,plain,
    ! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(addition(X0,X1),addition(X0,X2)),
    inference(superposition,[],[f174,f173]) ).

fof(f174,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X1,X0),X2),
    inference(superposition,[],[f70,f62]) ).

fof(f6955,plain,
    ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(sF4,addition(sF3,addition(sF4,addition(sF3,coantidomain(zero))))),
    inference(forward_demodulation,[],[f6954,f6355]) ).

fof(f6355,plain,
    ! [X0] : addition(sF4,addition(sF3,X0)) = addition(coantidomain(zero),X0),
    inference(forward_demodulation,[],[f6312,f126]) ).

fof(f126,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f62,f51]) ).

fof(f6312,plain,
    ! [X0] : addition(sF4,addition(sF3,X0)) = addition(coantidomain(zero),addition(zero,X0)),
    inference(superposition,[],[f620,f108]) ).

fof(f108,plain,
    zero = coantidomain(one),
    inference(superposition,[],[f55,f53]) ).

fof(f55,plain,
    ! [X0] : zero = multiplication(X0,coantidomain(X0)),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] : zero = multiplication(X0,coantidomain(X0)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3] : zero = multiplication(X3,coantidomain(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f6954,plain,
    ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(coantidomain(zero),addition(sF4,addition(sF3,coantidomain(zero)))),
    inference(backward_demodulation,[],[f467,f6953]) ).

fof(f6953,plain,
    ! [X0,X1] : addition(X1,coantidomain(multiplication(coantidomain(coantidomain(zero)),X0))) = addition(coantidomain(zero),addition(sF4,addition(sF3,X1))),
    inference(forward_demodulation,[],[f6941,f6951]) ).

fof(f6951,plain,
    ! [X0,X1] : addition(sF4,addition(sF3,X1)) = addition(coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),X1),
    inference(forward_demodulation,[],[f6950,f6379]) ).

fof(f6379,plain,
    ! [X0,X1] : addition(sF4,addition(sF3,X1)) = addition(coantidomain(X0),addition(sF4,addition(sF3,X1))),
    inference(backward_demodulation,[],[f6358,f6378]) ).

fof(f6378,plain,
    ! [X0,X1] : addition(sF4,addition(sF3,X1)) = addition(sF4,addition(sF3,addition(coantidomain(X0),X1))),
    inference(forward_demodulation,[],[f6329,f620]) ).

fof(f6329,plain,
    ! [X0,X1] : addition(coantidomain(coantidomain(X0)),addition(coantidomain(X0),X1)) = addition(sF4,addition(sF3,addition(coantidomain(X0),X1))),
    inference(superposition,[],[f620,f173]) ).

fof(f6358,plain,
    ! [X0,X1] : addition(sF4,addition(sF3,addition(coantidomain(X0),X1))) = addition(coantidomain(X0),addition(sF4,addition(sF3,X1))),
    inference(forward_demodulation,[],[f6319,f2764]) ).

fof(f2764,plain,
    ! [X0] : coantidomain(X0) = coantidomain(coantidomain(coantidomain(X0))),
    inference(forward_demodulation,[],[f2763,f1076]) ).

fof(f1076,plain,
    ! [X0] : multiplication(X0,coantidomain(coantidomain(X0))) = X0,
    inference(forward_demodulation,[],[f1047,f52]) ).

fof(f1047,plain,
    ! [X0] : multiplication(X0,one) = multiplication(X0,coantidomain(coantidomain(X0))),
    inference(superposition,[],[f303,f139]) ).

fof(f303,plain,
    ! [X0,X1] : multiplication(X0,X1) = multiplication(X0,addition(coantidomain(X0),X1)),
    inference(forward_demodulation,[],[f247,f126]) ).

fof(f247,plain,
    ! [X0,X1] : addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(coantidomain(X0),X1)),
    inference(superposition,[],[f72,f55]) ).

fof(f2763,plain,
    ! [X0] : coantidomain(coantidomain(coantidomain(X0))) = multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))),
    inference(forward_demodulation,[],[f2700,f53]) ).

fof(f2700,plain,
    ! [X0] : multiplication(coantidomain(X0),coantidomain(coantidomain(coantidomain(X0)))) = multiplication(one,coantidomain(coantidomain(coantidomain(X0)))),
    inference(superposition,[],[f419,f60]) ).

fof(f419,plain,
    ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = multiplication(X1,coantidomain(X0)),
    inference(forward_demodulation,[],[f359,f126]) ).

fof(f359,plain,
    ! [X0,X1] : multiplication(addition(X0,X1),coantidomain(X0)) = addition(zero,multiplication(X1,coantidomain(X0))),
    inference(superposition,[],[f73,f55]) ).

fof(f73,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/benchmark/theBenchmark.p',unknown) ).

fof(f6319,plain,
    ! [X0,X1] : addition(sF4,addition(sF3,addition(coantidomain(X0),X1))) = addition(coantidomain(coantidomain(coantidomain(X0))),addition(sF4,addition(sF3,X1))),
    inference(superposition,[],[f620,f620]) ).

fof(f6950,plain,
    ! [X0,X1] : addition(coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),X1) = addition(coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),addition(sF4,addition(sF3,X1))),
    inference(forward_demodulation,[],[f6940,f6355]) ).

fof(f6940,plain,
    ! [X0,X1] : addition(coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),X1) = addition(coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),addition(coantidomain(zero),X1)),
    inference(superposition,[],[f174,f467]) ).

fof(f6941,plain,
    ! [X0,X1] : addition(coantidomain(zero),addition(coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)),X1)) = addition(X1,coantidomain(multiplication(coantidomain(coantidomain(zero)),X0))),
    inference(superposition,[],[f182,f467]) ).

fof(f182,plain,
    ! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
    inference(superposition,[],[f70,f62]) ).

fof(f467,plain,
    ! [X0] : coantidomain(multiplication(coantidomain(coantidomain(zero)),X0)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(zero)),X0))),
    inference(superposition,[],[f68,f50]) ).

fof(f50,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f68,plain,
    ! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] : coantidomain(multiplication(coantidomain(coantidomain(X0)),X1)) = addition(coantidomain(multiplication(X0,X1)),coantidomain(multiplication(coantidomain(coantidomain(X0)),X1))),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3,X4] : coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)) = addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5945,plain,
    coantidomain(multiplication(sF17,sF10)) = addition(coantidomain(zero),coantidomain(multiplication(sF17,sF10))),
    inference(forward_demodulation,[],[f5944,f97]) ).

fof(f5944,plain,
    coantidomain(multiplication(coantidomain(sF16),sF10)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(sF16),sF10))),
    inference(backward_demodulation,[],[f479,f5880]) ).

fof(f5880,plain,
    sF16 = coantidomain(sF11),
    inference(backward_demodulation,[],[f96,f5879]) ).

fof(f5879,plain,
    sF11 = sF15,
    inference(forward_demodulation,[],[f5806,f5702]) ).

fof(f5702,plain,
    sF11 = antidomain(sF12),
    inference(backward_demodulation,[],[f93,f5701]) ).

fof(f5701,plain,
    sF11 = sF13,
    inference(forward_demodulation,[],[f5700,f5535]) ).

fof(f5535,plain,
    sF11 = addition(sF11,sF13),
    inference(superposition,[],[f2903,f62]) ).

fof(f2903,plain,
    sF11 = addition(sF13,sF11),
    inference(forward_demodulation,[],[f2902,f53]) ).

fof(f2902,plain,
    addition(sF13,sF11) = multiplication(one,sF11),
    inference(forward_demodulation,[],[f2896,f866]) ).

fof(f866,plain,
    one = addition(sF13,one),
    inference(superposition,[],[f173,f169]) ).

fof(f169,plain,
    one = addition(sF13,sF12),
    inference(forward_demodulation,[],[f154,f93]) ).

fof(f154,plain,
    one = addition(antidomain(sF12),sF12),
    inference(superposition,[],[f61,f92]) ).

fof(f92,plain,
    antidomain(sF11) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f2896,plain,
    addition(sF13,sF11) = multiplication(addition(sF13,one),sF11),
    inference(superposition,[],[f387,f2033]) ).

fof(f2033,plain,
    sF13 = multiplication(sF13,sF11),
    inference(forward_demodulation,[],[f2032,f93]) ).

fof(f2032,plain,
    antidomain(sF12) = multiplication(antidomain(sF12),sF11),
    inference(forward_demodulation,[],[f1957,f52]) ).

fof(f1957,plain,
    multiplication(antidomain(sF12),sF11) = multiplication(antidomain(sF12),one),
    inference(superposition,[],[f309,f168]) ).

fof(f168,plain,
    one = addition(sF12,sF11),
    inference(forward_demodulation,[],[f153,f92]) ).

fof(f153,plain,
    one = addition(antidomain(sF11),sF11),
    inference(superposition,[],[f61,f91]) ).

fof(f91,plain,
    antidomain(sF10) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f309,plain,
    ! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
    inference(forward_demodulation,[],[f251,f126]) ).

fof(f251,plain,
    ! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = addition(zero,multiplication(antidomain(X0),X1)),
    inference(superposition,[],[f72,f56]) ).

fof(f56,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5700,plain,
    sF13 = addition(sF11,sF13),
    inference(forward_demodulation,[],[f5699,f91]) ).

fof(f5699,plain,
    sF13 = addition(antidomain(sF10),sF13),
    inference(forward_demodulation,[],[f5698,f93]) ).

fof(f5698,plain,
    antidomain(sF12) = addition(antidomain(sF10),antidomain(sF12)),
    inference(forward_demodulation,[],[f5668,f53]) ).

fof(f5668,plain,
    antidomain(multiplication(one,sF12)) = addition(antidomain(sF10),antidomain(multiplication(one,sF12))),
    inference(superposition,[],[f594,f53]) ).

fof(f594,plain,
    ! [X0] : antidomain(multiplication(X0,sF12)) = addition(antidomain(multiplication(X0,sF10)),antidomain(multiplication(X0,sF12))),
    inference(forward_demodulation,[],[f549,f92]) ).

fof(f549,plain,
    ! [X0] : antidomain(multiplication(X0,antidomain(sF11))) = addition(antidomain(multiplication(X0,sF10)),antidomain(multiplication(X0,antidomain(sF11)))),
    inference(superposition,[],[f69,f91]) ).

fof(f69,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f93,plain,
    antidomain(sF12) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f5806,plain,
    antidomain(sF12) = sF15,
    inference(backward_demodulation,[],[f95,f5805]) ).

fof(f5805,plain,
    sF12 = sF14,
    inference(forward_demodulation,[],[f5703,f92]) ).

fof(f5703,plain,
    antidomain(sF11) = sF14,
    inference(backward_demodulation,[],[f94,f5701]) ).

fof(f94,plain,
    antidomain(sF13) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f95,plain,
    antidomain(sF14) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f479,plain,
    coantidomain(multiplication(coantidomain(coantidomain(sF11)),sF10)) = addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(sF11)),sF10))),
    inference(superposition,[],[f68,f118]) ).

fof(f118,plain,
    zero = multiplication(sF11,sF10),
    inference(superposition,[],[f56,f91]) ).

fof(f7251,plain,
    coantidomain(multiplication(sF20,sF3)) = addition(coantidomain(multiplication(sF17,sF10)),coantidomain(multiplication(sF20,sF3))),
    inference(superposition,[],[f513,f4742]) ).

fof(f4742,plain,
    sF10 = multiplication(sK0,sF3),
    inference(backward_demodulation,[],[f90,f4741]) ).

fof(f4741,plain,
    sF3 = sF9,
    inference(forward_demodulation,[],[f4711,f4530]) ).

fof(f4530,plain,
    sF3 = antidomain(sF4),
    inference(backward_demodulation,[],[f85,f4529]) ).

fof(f4529,plain,
    sF3 = sF5,
    inference(forward_demodulation,[],[f4528,f53]) ).

fof(f4528,plain,
    sF5 = multiplication(one,sF3),
    inference(forward_demodulation,[],[f4525,f623]) ).

fof(f623,plain,
    one = addition(sF4,sF5),
    inference(superposition,[],[f163,f62]) ).

fof(f163,plain,
    one = addition(sF5,sF4),
    inference(forward_demodulation,[],[f147,f85]) ).

fof(f147,plain,
    one = addition(antidomain(sF4),sF4),
    inference(superposition,[],[f61,f84]) ).

fof(f4525,plain,
    sF5 = multiplication(addition(sF4,sF5),sF3),
    inference(backward_demodulation,[],[f4084,f4524]) ).

fof(f4524,plain,
    sF5 = addition(sF3,sF5),
    inference(forward_demodulation,[],[f4523,f83]) ).

fof(f4523,plain,
    sF5 = addition(antidomain(sK1),sF5),
    inference(forward_demodulation,[],[f4522,f85]) ).

fof(f4522,plain,
    antidomain(sF4) = addition(antidomain(sK1),antidomain(sF4)),
    inference(forward_demodulation,[],[f4486,f53]) ).

fof(f4486,plain,
    antidomain(multiplication(one,sF4)) = addition(antidomain(sK1),antidomain(multiplication(one,sF4))),
    inference(superposition,[],[f588,f53]) ).

fof(f588,plain,
    ! [X0] : antidomain(multiplication(X0,sF4)) = addition(antidomain(multiplication(X0,sK1)),antidomain(multiplication(X0,sF4))),
    inference(forward_demodulation,[],[f542,f84]) ).

fof(f542,plain,
    ! [X0] : antidomain(multiplication(X0,antidomain(sF3))) = addition(antidomain(multiplication(X0,sK1)),antidomain(multiplication(X0,antidomain(sF3)))),
    inference(superposition,[],[f69,f83]) ).

fof(f4084,plain,
    addition(sF3,sF5) = multiplication(addition(sF4,addition(sF3,sF5)),sF3),
    inference(superposition,[],[f622,f2008]) ).

fof(f2008,plain,
    sF5 = multiplication(sF5,sF3),
    inference(forward_demodulation,[],[f2007,f52]) ).

fof(f2007,plain,
    multiplication(sF5,one) = multiplication(sF5,sF3),
    inference(forward_demodulation,[],[f1943,f85]) ).

fof(f1943,plain,
    multiplication(antidomain(sF4),one) = multiplication(antidomain(sF4),sF3),
    inference(superposition,[],[f309,f162]) ).

fof(f622,plain,
    ! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(sF4,addition(sF3,X1)),X0),
    inference(backward_demodulation,[],[f606,f617]) ).

fof(f606,plain,
    ! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(sF17,addition(sF16,X1)),X0),
    inference(backward_demodulation,[],[f362,f603]) ).

fof(f362,plain,
    ! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
    inference(superposition,[],[f73,f53]) ).

fof(f85,plain,
    antidomain(sF4) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f4711,plain,
    antidomain(sF4) = sF9,
    inference(backward_demodulation,[],[f89,f4710]) ).

fof(f4710,plain,
    sF4 = sF8,
    inference(forward_demodulation,[],[f4666,f84]) ).

fof(f4666,plain,
    antidomain(sF3) = sF8,
    inference(backward_demodulation,[],[f88,f4665]) ).

fof(f4665,plain,
    sF3 = sF7,
    inference(forward_demodulation,[],[f4608,f4530]) ).

fof(f4608,plain,
    antidomain(sF4) = sF7,
    inference(backward_demodulation,[],[f87,f4607]) ).

fof(f4607,plain,
    sF4 = sF6,
    inference(forward_demodulation,[],[f4531,f84]) ).

fof(f4531,plain,
    antidomain(sF3) = sF6,
    inference(backward_demodulation,[],[f86,f4529]) ).

fof(f86,plain,
    antidomain(sF5) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f87,plain,
    antidomain(sF6) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f88,plain,
    antidomain(sF7) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

fof(f89,plain,
    antidomain(sF8) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f90,plain,
    multiplication(sK0,sF9) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f513,plain,
    ! [X0] : coantidomain(multiplication(sF20,X0)) = addition(coantidomain(multiplication(sF17,multiplication(sK0,X0))),coantidomain(multiplication(sF20,X0))),
    inference(forward_demodulation,[],[f512,f209]) ).

fof(f209,plain,
    ! [X0] : multiplication(sF17,multiplication(sK0,X0)) = multiplication(sF18,X0),
    inference(superposition,[],[f71,f98]) ).

fof(f98,plain,
    multiplication(sF17,sK0) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f71,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/benchmark/theBenchmark.p',unknown) ).

fof(f512,plain,
    ! [X0] : coantidomain(multiplication(sF20,X0)) = addition(coantidomain(multiplication(sF18,X0)),coantidomain(multiplication(sF20,X0))),
    inference(forward_demodulation,[],[f492,f100]) ).

fof(f492,plain,
    ! [X0] : coantidomain(multiplication(coantidomain(sF19),X0)) = addition(coantidomain(multiplication(sF18,X0)),coantidomain(multiplication(coantidomain(sF19),X0))),
    inference(superposition,[],[f68,f99]) ).

fof(f214,plain,
    ! [X0,X1] : zero = multiplication(X0,multiplication(X1,coantidomain(multiplication(X0,X1)))),
    inference(superposition,[],[f71,f55]) ).

fof(f72,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/benchmark/theBenchmark.p',unknown) ).

fof(f11168,plain,
    addition(sF20,zero) = multiplication(sF20,addition(sF4,sF3)),
    inference(forward_demodulation,[],[f11122,f54]) ).

fof(f11122,plain,
    addition(sF20,zero) = multiplication(sF20,addition(sF4,addition(sF3,sF3))),
    inference(superposition,[],[f621,f11070]) ).

fof(f621,plain,
    ! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(sF4,addition(sF3,X1))),
    inference(backward_demodulation,[],[f607,f617]) ).

fof(f607,plain,
    ! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(sF17,addition(sF16,X1))),
    inference(backward_demodulation,[],[f246,f603]) ).

fof(f246,plain,
    ! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
    inference(superposition,[],[f72,f52]) ).

fof(f387,plain,
    ! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
    inference(superposition,[],[f73,f53]) ).

fof(f101,plain,
    addition(sF20,sF4) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f102,plain,
    sP2(sF21),
    inference(definition_folding,[],[f82,f101,f84,f83,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83]) ).

fof(f82,plain,
    sP2(addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),sK0))),antidomain(antidomain(sK1)))),
    inference(inequality_splitting,[],[f80,f81]) ).

fof(f80,plain,
    antidomain(antidomain(sK1)) != addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(sK1))))))))))))))),sK0))),antidomain(antidomain(sK1))),
    inference(definition_unfolding,[],[f48,f59,f75,f79,f59,f59]) ).

fof(f79,plain,
    ! [X0,X1] : forward_box(X0,X1) = antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X0,antidomain(antidomain(antidomain(antidomain(antidomain(X1))))))))))),
    inference(definition_unfolding,[],[f65,f74,f78,f74]) ).

fof(f78,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f66,f59,f59]) ).

fof(f66,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f74,plain,
    ! [X0] : c(X0) = antidomain(antidomain(antidomain(X0))),
    inference(definition_unfolding,[],[f57,f59]) ).

fof(f57,plain,
    ! [X0] : c(X0) = antidomain(domain(X0)),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0] : c(X0) = antidomain(domain(X0)),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3] : c(X3) = antidomain(domain(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f65,plain,
    ! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] : forward_box(X0,X1) = c(forward_diamond(X0,c(X1))),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] : forward_box(X3,X4) = c(forward_diamond(X3,c(X4))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f75,plain,
    ! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
    inference(definition_unfolding,[],[f67,f58,f58]) ).

fof(f58,plain,
    ! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f67,plain,
    ! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f59,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f48,plain,
    domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46]) ).

fof(f46,plain,
    ( ? [X0,X1] : domain(X1) != addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1))
   => domain(sK1) != addition(backward_diamond(sK0,forward_box(sK0,domain(sK1))),domain(sK1)) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1] : domain(X1) != addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ! [X0,X1] : domain(X1) = addition(backward_diamond(X0,forward_box(X0,domain(X1))),domain(X1)),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X3,X4] : domain(X4) = addition(backward_diamond(X3,forward_box(X3,domain(X4))),domain(X4)),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X3,X4] : domain(X4) = addition(backward_diamond(X3,forward_box(X3,domain(X4))),domain(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE111+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 20 21:52:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27140)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27137)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27141)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27135)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27139)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27136)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.21/0.42  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (27138)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.42  % (27139)Refutation not found, incomplete strategy% (27139)------------------------------
% 0.21/0.42  % (27139)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (27139)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (27139)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (27139)Memory used [KB]: 1152
% 0.21/0.42  % (27139)Time elapsed: 0.003 s
% 0.21/0.42  % (27139)Instructions burned: 2 (million)
% 0.21/0.42  % (27139)------------------------------
% 0.21/0.42  % (27139)------------------------------
% 0.21/0.42  % (27141)Refutation not found, incomplete strategy% (27141)------------------------------
% 0.21/0.42  % (27141)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (27141)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (27141)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (27141)Memory used [KB]: 1157
% 0.21/0.42  % (27141)Time elapsed: 0.003 s
% 0.21/0.42  % (27141)Instructions burned: 3 (million)
% 0.21/0.42  % (27140)Refutation not found, incomplete strategy% (27140)------------------------------
% 0.21/0.42  % (27140)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (27140)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (27140)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (27140)Memory used [KB]: 1164
% 0.21/0.42  % (27140)Time elapsed: 0.004 s
% 0.21/0.42  % (27140)Instructions burned: 3 (million)
% 0.21/0.42  % (27141)------------------------------
% 0.21/0.42  % (27141)------------------------------
% 0.21/0.42  % (27140)------------------------------
% 0.21/0.42  % (27140)------------------------------
% 0.21/0.42  % (27135)Refutation not found, incomplete strategy% (27135)------------------------------
% 0.21/0.42  % (27135)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (27135)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (27135)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (27135)Memory used [KB]: 1158
% 0.21/0.42  % (27135)Time elapsed: 0.005 s
% 0.21/0.42  % (27135)Instructions burned: 4 (million)
% 0.21/0.42  % (27135)------------------------------
% 0.21/0.42  % (27135)------------------------------
% 0.21/0.48  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (27142)lrs+21_1:64_drc=encompass:sil=32000:bsd=on:lma=on:spb=goal:nwc=10.0:i=123:add=large:ss=axioms:sgt=16:irw=on_0 on theBenchmark for (2999ds/123Mi)
% 0.21/0.48  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (27143)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=117:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.48  % (27138)Instruction limit reached!
% 0.21/0.48  % (27138)------------------------------
% 0.21/0.48  % (27138)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (27138)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (27138)Termination reason: Time limit
% 0.21/0.48  % (27138)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (27138)Memory used [KB]: 1812
% 0.21/0.48  % (27138)Time elapsed: 0.063 s
% 0.21/0.48  % (27138)Instructions burned: 110 (million)
% 0.21/0.48  % (27143)Refutation not found, incomplete strategy% (27143)------------------------------
% 0.21/0.48  % (27143)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (27143)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (27143)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48  
% 0.21/0.48  % (27143)Memory used [KB]: 1168
% 0.21/0.48  % (27143)Time elapsed: 0.002 s
% 0.21/0.48  % (27143)Instructions burned: 2 (million)
% 0.21/0.48  % (27143)------------------------------
% 0.21/0.48  % (27143)------------------------------
% 0.21/0.48  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (27145)dis+2_1:28_anc=none:sil=2000:plsqc=1:plsq=on:plsqr=87,4:sp=unary_first:spb=intro:plsql=on:st=2.0:i=117:afp=10:bd=off:nm=16:afr=on:ss=axioms:to=lpo:cond=fast:fsr=off:nwc=7.0_0 on theBenchmark for (2999ds/117Mi)
% 0.21/0.48  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (27144)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=138:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51  % (27142)Instruction limit reached!
% 0.21/0.51  % (27142)------------------------------
% 0.21/0.51  % (27142)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51  % (27142)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51  % (27142)Termination reason: Time limit
% 0.21/0.51  % (27142)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (27142)Memory used [KB]: 1670
% 0.21/0.51  % (27142)Time elapsed: 0.039 s
% 0.21/0.51  % (27142)Instructions burned: 124 (million)
% 0.21/0.52  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (27147)lrs-1002_1:1024_anc=none:slsqr=6559637,262144:sil=256000:tgt=ground:fde=unused:bsd=on:sp=const_min:sos=on:bce=on:rp=on:slsqc=3:slsq=on:cond=on:s2a=on:i=109:s2at=3.5:sd=3:kws=inv_arity:afp=300:slsql=off:bsdmm=3:afq=3.34235:uhcvi=on:ss=axioms:rawr=on:add=large:acc=model_0 on theBenchmark for (2998ds/109Mi)
% 0.21/0.52  % (27134)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (27146)lrs+1011_1:4_to=lpo:sil=4000:plsq=on:plsqr=32,1:sp=reverse_frequency:fs=off:spb=goal:plsql=on:rp=on:i=108:nm=16:fsr=off:amm=off:rawr=on:drc=off:avsq=on:avsql=on:avsqr=31485,524288:plsqc=2:nwc=5.0_0 on theBenchmark for (2998ds/108Mi)
% 1.26/0.52  % (27147)Refutation not found, incomplete strategy% (27147)------------------------------
% 1.26/0.52  % (27147)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.26/0.52  % (27147)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.26/0.52  % (27147)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52  
% 1.26/0.52  % (27147)Memory used [KB]: 1152
% 1.26/0.52  % (27147)Time elapsed: 0.003 s
% 1.26/0.52  % (27147)Instructions burned: 4 (million)
% 1.26/0.52  % (27147)------------------------------
% 1.26/0.52  % (27147)------------------------------
% 1.26/0.52  % (27145)Instruction limit reached!
% 1.26/0.52  % (27145)------------------------------
% 1.26/0.52  % (27145)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.26/0.52  % (27145)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.26/0.52  % (27145)Termination reason: Time limit
% 1.26/0.52  % (27145)Termination phase: Saturation
% 1.26/0.52  
% 1.26/0.52  % (27145)Memory used [KB]: 2137
% 1.26/0.52  % (27145)Time elapsed: 0.040 s
% 1.26/0.52  % (27145)Instructions burned: 118 (million)
% 1.34/0.55  % (27144)Instruction limit reached!
% 1.34/0.55  % (27144)------------------------------
% 1.34/0.55  % (27144)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.55  % (27144)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.55  % (27144)Termination reason: Time limit
% 1.34/0.55  % (27144)Termination phase: Saturation
% 1.34/0.55  
% 1.34/0.55  % (27144)Memory used [KB]: 2980
% 1.34/0.55  % (27144)Time elapsed: 0.065 s
% 1.34/0.55  % (27144)Instructions burned: 138 (million)
% 1.34/0.55  % (27146)Instruction limit reached!
% 1.34/0.55  % (27146)------------------------------
% 1.34/0.55  % (27146)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.55  % (27146)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.55  % (27146)Termination reason: Time limit
% 1.34/0.55  % (27146)Termination phase: Saturation
% 1.34/0.55  
% 1.34/0.55  % (27146)Memory used [KB]: 1823
% 1.34/0.55  % (27146)Time elapsed: 0.034 s
% 1.34/0.55  % (27146)Instructions burned: 110 (million)
% 1.34/0.55  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.55  % (27148)lrs+11_1:1_sos=on:urr=on:s2a=on:i=124:sd=1:aac=none:ss=axioms:gsp=on:sil=128000:nm=3:bce=on:fd=preordered:alpa=true:etr=on:bd=off:lcm=predicate_0 on theBenchmark for (2998ds/124Mi)
% 1.34/0.55  % (27148)Refutation not found, incomplete strategy% (27148)------------------------------
% 1.34/0.55  % (27148)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.55  % (27148)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.55  % (27148)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.55  
% 1.34/0.55  % (27148)Memory used [KB]: 1154
% 1.34/0.55  % (27148)Time elapsed: 0.002 s
% 1.34/0.55  % (27148)Instructions burned: 4 (million)
% 1.34/0.55  % (27148)------------------------------
% 1.34/0.55  % (27148)------------------------------
% 1.34/0.55  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.55  % (27149)lrs-1_1:1_drc=off:sil=4000:tgt=full:sp=occurrence:sos=on:urr=on:rp=on:i=247:bs=on:ins=1:av=off:rawr=on:to=lpo:br=off_0 on theBenchmark for (2998ds/247Mi)
% 1.34/0.55  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.55  % (27150)lrs+21_1:6_to=lpo:drc=off:sil=64000:tgt=ground:fd=preordered:i=151_0 on theBenchmark for (2998ds/151Mi)
% 1.34/0.56  % (27149)Refutation not found, incomplete strategy% (27149)------------------------------
% 1.34/0.56  % (27149)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.56  % (27149)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.56  % (27149)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.56  
% 1.34/0.56  % (27149)Memory used [KB]: 1179
% 1.34/0.56  % (27149)Time elapsed: 0.004 s
% 1.34/0.56  % (27149)Instructions burned: 6 (million)
% 1.34/0.56  % (27149)------------------------------
% 1.34/0.56  % (27149)------------------------------
% 1.34/0.58  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.58  % (27151)lrs+1011_1:32_sil=2000:tgt=ground:acc=model:lsd=10:nwc=1.1:flr=on:s2pl=no:i=113:bd=off:gsp=on:rawr=on_0 on theBenchmark for (2998ds/113Mi)
% 1.34/0.58  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.58  % (27152)dis+1010_5:1_sil=64000:sp=const_min:sos=on:acc=model:i=120:kws=precedence:bd=off:nm=20:alpa=random:ss=axioms_0 on theBenchmark for (2998ds/120Mi)
% 1.34/0.59  % (27152)Refutation not found, incomplete strategy% (27152)------------------------------
% 1.34/0.59  % (27152)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.59  % (27152)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.59  % (27152)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.59  
% 1.34/0.59  % (27152)Memory used [KB]: 1161
% 1.34/0.59  % (27152)Time elapsed: 0.003 s
% 1.34/0.59  % (27152)Instructions burned: 4 (million)
% 1.34/0.59  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.59  % (27153)dis+1002_1:128_sil=2000:fde=none:i=145:plsq=on:plsqc=1:plsqr=6,1:bd=off:tgt=ground:sac=on:sfv=off:s2a=on:s2at=5.0_0 on theBenchmark for (2998ds/145Mi)
% 1.34/0.59  % (27152)------------------------------
% 1.34/0.59  % (27152)------------------------------
% 1.34/0.59  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.59  % (27154)lrs+1010_974213:1048576_nwc=9.0:s2a=on:i=123:bd=off:lwlo=on:fd=off:sil=256000:s2agt=10:sims=off:nm=9:sp=const_min:rp=on:er=known:cond=fast:bce=on:abs=on:irw=on:amm=sco:afp=2000:updr=off:add=off:to=lpo:awrs=decay:awrsf=260:rawr=on:afq=2.0:uhcvi=on_0 on theBenchmark for (2997ds/123Mi)
% 1.34/0.60  % (27150)Instruction limit reached!
% 1.34/0.60  % (27150)------------------------------
% 1.34/0.60  % (27150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.60  % (27150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.60  % (27150)Termination reason: Time limit
% 1.34/0.60  % (27150)Termination phase: Saturation
% 1.34/0.60  
% 1.34/0.60  % (27150)Memory used [KB]: 2797
% 1.34/0.60  % (27150)Time elapsed: 0.050 s
% 1.34/0.60  % (27150)Instructions burned: 153 (million)
% 1.34/0.62  % (27151)Instruction limit reached!
% 1.34/0.62  % (27151)------------------------------
% 1.34/0.62  % (27151)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.34/0.62  % (27151)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.34/0.62  % (27151)Termination reason: Time limit
% 1.34/0.62  % (27151)Termination phase: Saturation
% 1.34/0.62  
% 1.34/0.62  % (27151)Memory used [KB]: 2848
% 1.34/0.62  % (27151)Time elapsed: 0.058 s
% 1.34/0.62  % (27151)Instructions burned: 113 (million)
% 1.34/0.62  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.34/0.62  % (27155)dis+11_1:7_sil=2000:tgt=ground:sp=reverse_arity:i=851:fd=preordered:fsr=off:drc=encompass_0 on theBenchmark for (2997ds/851Mi)
% 1.83/0.63  % (27153)Instruction limit reached!
% 1.83/0.63  % (27153)------------------------------
% 1.83/0.63  % (27153)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.63  % (27153)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.63  % (27153)Termination reason: Time limit
% 1.83/0.63  % (27153)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (27153)Memory used [KB]: 2521
% 1.83/0.63  % (27153)Time elapsed: 0.046 s
% 1.83/0.63  % (27153)Instructions burned: 146 (million)
% 1.83/0.63  % (27154)Instruction limit reached!
% 1.83/0.63  % (27154)------------------------------
% 1.83/0.63  % (27154)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.63  % (27154)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.63  % (27154)Termination reason: Time limit
% 1.83/0.63  % (27154)Termination phase: Saturation
% 1.83/0.63  
% 1.83/0.63  % (27154)Memory used [KB]: 2623
% 1.83/0.63  % (27154)Time elapsed: 0.043 s
% 1.83/0.63  % (27154)Instructions burned: 125 (million)
% 1.83/0.64  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.64  % (27156)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=126:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/126Mi)
% 1.83/0.64  % (27156)Refutation not found, incomplete strategy% (27156)------------------------------
% 1.83/0.64  % (27156)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.64  % (27156)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.64  % (27156)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.64  
% 1.83/0.64  % (27156)Memory used [KB]: 1149
% 1.83/0.64  % (27156)Time elapsed: 0.002 s
% 1.83/0.64  % (27156)Instructions burned: 2 (million)
% 1.83/0.64  % (27156)------------------------------
% 1.83/0.64  % (27156)------------------------------
% 1.83/0.65  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.65  % (27157)lrs+1010_1:16_sil=2000:plsq=on:plsqr=32,1:slsq=on:i=138:slsql=off:bd=off:er=filter:erml=3:slsqc=2:cond=on:alpa=false:fsr=off:acc=on_0 on theBenchmark for (2997ds/138Mi)
% 1.83/0.66  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.66  % (27158)lrs+1011_1:6_to=lpo:drc=encompass:sil=256000:tgt=full:sp=unary_first:nwc=10.0:i=1458:aac=none:bd=preordered:ss=axioms:sgt=16_0 on theBenchmark for (2997ds/1458Mi)
% 1.83/0.67  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.67  % (27159)dis+1011_2809:262144_drc=off:sil=2000:tgt=ground:plsq=on:plsqr=450601,524288:sp=reverse_arity:sos=on:foolp=on:rnwc=on:plsql=on:fd=preordered:rp=on:nwc=4.574864195731069:i=172:bd=preordered:nm=6:fsr=off:ss=axioms:sgt=100:rawr=on:afp=1000:afq=2.7331722210582745_0 on theBenchmark for (2997ds/172Mi)
% 1.83/0.67  % (27159)Refutation not found, incomplete strategy% (27159)------------------------------
% 1.83/0.67  % (27159)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.67  % (27159)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.67  % (27159)Termination reason: Refutation not found, incomplete strategy
% 1.83/0.67  
% 1.83/0.67  % (27159)Memory used [KB]: 1165
% 1.83/0.67  % (27159)Time elapsed: 0.003 s
% 1.83/0.67  % (27159)Instructions burned: 5 (million)
% 1.83/0.67  % (27159)------------------------------
% 1.83/0.67  % (27159)------------------------------
% 1.83/0.67  % (27134)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.67  % (27160)lrs+21_1:334_sil=64000:sp=frequency:spb=units:nwc=5.0:flr=on:s2a=on:i=246:s2at=3.0:bd=off:uhcvi=on:abs=on:alpa=true:lcm=predicate_0 on theBenchmark for (2997ds/246Mi)
% 2.16/0.70  % (27157)Instruction limit reached!
% 2.16/0.70  % (27157)------------------------------
% 2.16/0.70  % (27157)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.70  % (27157)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.70  % (27157)Termination reason: Time limit
% 2.16/0.70  % (27157)Termination phase: Saturation
% 2.16/0.70  
% 2.16/0.70  % (27157)Memory used [KB]: 2604
% 2.16/0.70  % (27157)Time elapsed: 0.048 s
% 2.16/0.70  % (27157)Instructions burned: 140 (million)
% 2.16/0.70  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.70  % (27161)lrs-32_1:4_to=lpo:drc=off:sil=2000:sp=reverse_arity:spb=goal_then_units:urr=on:nwc=2.0:i=480:ss=included:st=2.0:bd=preordered_0 on theBenchmark for (2996ds/480Mi)
% 2.16/0.73  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.16/0.73  % (27162)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=266:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/266Mi)
% 2.16/0.75  % (27160)Instruction limit reached!
% 2.16/0.75  % (27160)------------------------------
% 2.16/0.75  % (27160)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.16/0.75  % (27160)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.16/0.75  % (27160)Termination reason: Time limit
% 2.16/0.75  % (27160)Termination phase: Saturation
% 2.16/0.75  
% 2.16/0.75  % (27160)Memory used [KB]: 2196
% 2.16/0.75  % (27160)Time elapsed: 0.074 s
% 2.16/0.75  % (27160)Instructions burned: 247 (million)
% 2.50/0.78  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.50/0.78  % (27163)lrs+1010_1:128_sil=2000:tgt=ground:nwc=2.4:flr=on:i=185:bd=off:ins=2:av=off:rawr=on:plsq=on:plsql=on:plsqc=1:plsqr=1947,254:rnwc=on_0 on theBenchmark for (2996ds/185Mi)
% 2.59/0.82  % (27162)Instruction limit reached!
% 2.59/0.82  % (27162)------------------------------
% 2.59/0.82  % (27162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.59/0.82  % (27162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.59/0.82  % (27162)Termination reason: Time limit
% 2.59/0.82  % (27162)Termination phase: Saturation
% 2.59/0.82  
% 2.59/0.82  % (27162)Memory used [KB]: 4079
% 2.59/0.82  % (27162)Time elapsed: 0.094 s
% 2.59/0.82  % (27162)Instructions burned: 268 (million)
% 2.59/0.84  % (27163)Instruction limit reached!
% 2.59/0.84  % (27163)------------------------------
% 2.59/0.84  % (27163)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.59/0.84  % (27163)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.59/0.84  % (27163)Termination reason: Time limit
% 2.59/0.84  % (27163)Termination phase: Saturation
% 2.59/0.84  
% 2.59/0.84  % (27163)Memory used [KB]: 3307
% 2.59/0.84  % (27163)Time elapsed: 0.059 s
% 2.59/0.84  % (27163)Instructions burned: 185 (million)
% 2.88/0.86  % (27161)Instruction limit reached!
% 2.88/0.86  % (27161)------------------------------
% 2.88/0.86  % (27161)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.88/0.86  % (27161)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.88/0.86  % (27161)Termination reason: Time limit
% 2.88/0.86  % (27161)Termination phase: Saturation
% 2.88/0.86  
% 2.88/0.86  % (27161)Memory used [KB]: 4393
% 2.88/0.86  % (27161)Time elapsed: 0.154 s
% 2.88/0.86  % (27161)Instructions burned: 480 (million)
% 2.88/0.86  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.88/0.86  % (27179)lrs+2_1:1_to=lpo:drc=off:sil=4000:tgt=ground:sp=unary_first:spb=non_intro:urr=on:fd=preordered:i=1687:afp=1000:ins=3:rawr=on_0 on theBenchmark for (2995ds/1687Mi)
% 2.88/0.87  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.88/0.87  % (27180)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=207:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2995ds/207Mi)
% 2.88/0.88  % (27155)Instruction limit reached!
% 2.88/0.88  % (27155)------------------------------
% 2.88/0.88  % (27155)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.88/0.88  % (27155)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.88/0.88  % (27155)Termination reason: Time limit
% 2.88/0.88  % (27155)Termination phase: Saturation
% 2.88/0.88  
% 2.88/0.88  % (27155)Memory used [KB]: 10668
% 2.88/0.88  % (27155)Time elapsed: 0.261 s
% 2.88/0.88  % (27155)Instructions burned: 852 (million)
% 2.88/0.89  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.88/0.89  % (27181)lrs+1002_1:4_sil=2000:fde=unused:plsq=on:plsqr=32,1:sos=on:bce=on:i=208:sd=1:ss=included:rawr=on_0 on theBenchmark for (2995ds/208Mi)
% 2.88/0.89  % (27181)Refutation not found, incomplete strategy% (27181)------------------------------
% 2.88/0.89  % (27181)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.88/0.89  % (27181)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.88/0.89  % (27181)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.89  
% 2.88/0.89  % (27181)Memory used [KB]: 1152
% 2.88/0.89  % (27181)Time elapsed: 0.002 s
% 2.88/0.89  % (27181)Instructions burned: 4 (million)
% 2.88/0.89  % (27181)------------------------------
% 2.88/0.89  % (27181)------------------------------
% 2.88/0.91  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.88/0.91  % (27188)ott+33_191939:1048576_drc=encompass:sil=4000:tgt=ground:sp=const_frequency:lma=on:spb=goal:gs=on:nwc=17.8226:gsem=off:cond=fast:i=502:kws=inv_arity:bd=preordered:nm=35:av=off:fsr=off:uhcvi=on:rawr=on:bs=unit_only:urr=ec_only:ins=1_0 on theBenchmark for (2994ds/502Mi)
% 2.88/0.92  % (27134)Running in auto input_syntax mode. Trying TPTP
% 2.88/0.92  % (27193)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=234:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2994ds/234Mi)
% 2.88/0.92  % (27193)Refutation not found, incomplete strategy% (27193)------------------------------
% 2.88/0.92  % (27193)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.88/0.92  % (27193)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.88/0.92  % (27193)Termination reason: Refutation not found, incomplete strategy
% 2.88/0.92  
% 2.88/0.92  % (27193)Memory used [KB]: 1169
% 2.88/0.92  % (27193)Time elapsed: 0.003 s
% 2.88/0.92  % (27193)Instructions burned: 5 (million)
% 2.88/0.92  % (27193)------------------------------
% 2.88/0.92  % (27193)------------------------------
% 3.63/0.93  % (27180)Instruction limit reached!
% 3.63/0.93  % (27180)------------------------------
% 3.63/0.93  % (27180)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.63/0.93  % (27180)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.63/0.93  % (27180)Termination reason: Time limit
% 3.63/0.93  % (27180)Termination phase: Saturation
% 3.63/0.93  
% 3.63/0.93  % (27180)Memory used [KB]: 2667
% 3.63/0.93  % (27180)Time elapsed: 0.064 s
% 3.63/0.93  % (27180)Instructions burned: 208 (million)
% 3.63/0.96  % (27134)Running in auto input_syntax mode. Trying TPTP
% 3.63/0.96  % (27195)dis-1011_1785:1048576_bsr=unit_only:sil=4000:tgt=ground:plsqc=1:plsq=on:plsqr=125493,524288:sp=frequency:spb=goal:plsql=on:nwc=2.32086:updr=off:newcnf=on:cond=fast:st=2:s2a=on:i=253:s2at=4:bd=off:nm=3:ins=3:aer=off:uhcvi=on:afr=on:ss=axioms:sgt=20:rawr=on:fsr=off_0 on theBenchmark for (2994ds/253Mi)
% 3.63/0.96  % (27134)Running in auto input_syntax mode. Trying TPTP
% 3.63/0.96  % (27196)lrs+11_3:4_drc=off:sil=2000:tgt=ground:sp=occurrence:urr=on:nwc=5.0:st=3.0:i=327:kws=inv_frequency:av=off:ss=axioms:br=off:rawr=on:newcnf=on_0 on theBenchmark for (2994ds/327Mi)
% 3.84/1.03  % (27195)Instruction limit reached!
% 3.84/1.03  % (27195)------------------------------
% 3.84/1.03  % (27195)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.84/1.03  % (27195)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.84/1.03  % (27195)Termination reason: Time limit
% 3.84/1.03  % (27195)Termination phase: Saturation
% 3.84/1.03  
% 3.84/1.03  % (27195)Memory used [KB]: 3386
% 3.84/1.03  % (27195)Time elapsed: 0.079 s
% 3.84/1.03  % (27195)Instructions burned: 254 (million)
% 4.07/1.07  % (27179)First to succeed.
% 4.07/1.07  % (27196)Instruction limit reached!
% 4.07/1.07  % (27196)------------------------------
% 4.07/1.07  % (27196)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/1.07  % (27196)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/1.07  % (27196)Termination reason: Time limit
% 4.07/1.07  % (27196)Termination phase: Saturation
% 4.07/1.07  
% 4.07/1.07  % (27196)Memory used [KB]: 4433
% 4.07/1.07  % (27196)Time elapsed: 0.108 s
% 4.07/1.07  % (27196)Instructions burned: 328 (million)
% 4.07/1.07  % (27188)Instruction limit reached!
% 4.07/1.07  % (27188)------------------------------
% 4.07/1.07  % (27188)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/1.07  % (27188)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/1.07  % (27188)Termination reason: Time limit
% 4.07/1.07  % (27188)Termination phase: Saturation
% 4.07/1.07  
% 4.07/1.07  % (27188)Memory used [KB]: 5522
% 4.07/1.07  % (27188)Time elapsed: 0.161 s
% 4.07/1.07  % (27188)Instructions burned: 504 (million)
% 4.07/1.07  % (27134)Running in auto input_syntax mode. Trying TPTP
% 4.07/1.07  % (27243)lrs-32_2:11_drc=encompass:sil=4000:sp=reverse_frequency:nwc=10.0:s2a=on:i=1751:s2at=5.0:nm=16:amm=sco_0 on theBenchmark for (2993ds/1751Mi)
% 4.07/1.07  % (27179)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27134"
% 4.07/1.07  % (27134)Running in auto input_syntax mode. Trying TPTP
% 4.07/1.07  % (27179)Refutation found. Thanks to Tanya!
% 4.07/1.07  % SZS status Theorem for theBenchmark
% 4.07/1.07  % SZS output start Proof for theBenchmark
% See solution above
% 4.07/1.08  % (27179)------------------------------
% 4.07/1.08  % (27179)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.07/1.08  % (27179)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.07/1.08  % (27179)Termination reason: Refutation
% 4.07/1.08  
% 4.07/1.08  % (27179)Memory used [KB]: 7051
% 4.07/1.08  % (27179)Time elapsed: 0.213 s
% 4.07/1.08  % (27179)Instructions burned: 648 (million)
% 4.07/1.08  % (27179)------------------------------
% 4.07/1.08  % (27179)------------------------------
% 4.07/1.08  % (27134)Success in time 0.72 s
%------------------------------------------------------------------------------