TSTP Solution File: GRP002-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP002-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 : Sun May  5 05:44:12 EDT 2024

% Result   : Unsatisfiable 0.98s 0.72s
% Output   : Refutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  154 ( 154 unt;   0 def)
%            Number of atoms       :  154 ( 135 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   17 (  17   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :  108 ( 108   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3521,plain,
    $false,
    inference(subsumption_resolution,[],[f3520,f63]) ).

fof(f63,plain,
    ! [X0] : sP0(multiply(X0,multiply(X0,X0))),
    inference(superposition,[],[f14,f6]) ).

fof(f6,axiom,
    ! [X0] : identity = multiply(X0,multiply(X0,X0)),
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',x_cubed_is_identity) ).

fof(f14,plain,
    sP0(identity),
    inference(inequality_splitting,[],[f12,f13]) ).

fof(f13,plain,
    ~ sP0(multiply(k,inverse(b))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f12,axiom,
    identity != multiply(k,inverse(b)),
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',prove_k_times_inverse_b_is_e) ).

fof(f3520,plain,
    ~ sP0(multiply(sF2,multiply(sF2,sF2))),
    inference(forward_demodulation,[],[f3519,f100]) ).

fof(f100,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
    inference(forward_demodulation,[],[f99,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',left_identity) ).

fof(f99,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(X0,multiply(X0,X1))),
    inference(forward_demodulation,[],[f81,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',associativity) ).

fof(f81,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(multiply(X0,X0),X1)),
    inference(superposition,[],[f3,f6]) ).

fof(f3519,plain,
    ~ sP0(multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF4,sF2)))))),
    inference(forward_demodulation,[],[f3507,f2205]) ).

fof(f2205,plain,
    multiply(sF4,sF2) = multiply(sF2,multiply(sF4,sF7)),
    inference(superposition,[],[f100,f2191]) ).

fof(f2191,plain,
    multiply(sF4,sF7) = multiply(sF2,multiply(sF2,multiply(sF4,sF2))),
    inference(forward_demodulation,[],[f2187,f1730]) ).

fof(f1730,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,X2)))))) = X2,
    inference(forward_demodulation,[],[f1729,f3]) ).

fof(f1729,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(multiply(X0,X1),X2))))) = X2,
    inference(forward_demodulation,[],[f1728,f3]) ).

fof(f1728,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(multiply(X1,multiply(X0,X1)),X2)))) = X2,
    inference(forward_demodulation,[],[f1727,f3]) ).

fof(f1727,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(X0,multiply(X1,multiply(X0,X1))),X2))) = X2,
    inference(forward_demodulation,[],[f1726,f3]) ).

fof(f1726,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = X2,
    inference(forward_demodulation,[],[f1725,f1339]) ).

fof(f1339,plain,
    ! [X0] : multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF4,X0))))))) = X0,
    inference(forward_demodulation,[],[f1338,f3]) ).

fof(f1338,plain,
    ! [X0] : multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(multiply(sF2,sF4),X0)))))) = X0,
    inference(forward_demodulation,[],[f1337,f3]) ).

fof(f1337,plain,
    ! [X0] : multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(multiply(sF4,multiply(sF2,sF4)),X0))))) = X0,
    inference(forward_demodulation,[],[f1336,f3]) ).

fof(f1336,plain,
    ! [X0] : multiply(sF7,multiply(sF2,multiply(sF2,multiply(multiply(sF4,multiply(sF4,multiply(sF2,sF4))),X0)))) = X0,
    inference(forward_demodulation,[],[f1335,f3]) ).

fof(f1335,plain,
    ! [X0] : multiply(sF7,multiply(sF2,multiply(multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))),X0))) = X0,
    inference(forward_demodulation,[],[f1334,f3]) ).

fof(f1334,plain,
    ! [X0] : multiply(sF7,multiply(multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4))))),X0)) = X0,
    inference(forward_demodulation,[],[f1329,f3]) ).

fof(f1329,plain,
    ! [X0] : multiply(multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),X0) = X0,
    inference(backward_demodulation,[],[f1,f1095]) ).

fof(f1095,plain,
    identity = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),
    inference(forward_demodulation,[],[f1094,f3]) ).

fof(f1094,plain,
    identity = multiply(sF7,multiply(sF2,multiply(sF2,multiply(multiply(sF4,sF4),multiply(sF2,sF4))))),
    inference(forward_demodulation,[],[f1093,f394]) ).

fof(f394,plain,
    ! [X0] : inverse(X0) = multiply(X0,X0),
    inference(forward_demodulation,[],[f370,f4]) ).

fof(f4,axiom,
    ! [X0] : multiply(X0,identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',right_identity) ).

fof(f370,plain,
    ! [X0] : multiply(X0,X0) = multiply(inverse(X0),identity),
    inference(superposition,[],[f103,f6]) ).

fof(f103,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f84,f1]) ).

fof(f84,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',left_inverse) ).

fof(f1093,plain,
    identity = multiply(sF7,multiply(sF2,multiply(sF2,multiply(inverse(sF4),multiply(sF2,sF4))))),
    inference(forward_demodulation,[],[f1061,f3]) ).

fof(f1061,plain,
    identity = multiply(sF7,multiply(multiply(sF2,sF2),multiply(inverse(sF4),multiply(sF2,sF4)))),
    inference(backward_demodulation,[],[f961,f394]) ).

fof(f961,plain,
    identity = multiply(sF7,multiply(inverse(sF2),multiply(inverse(sF4),multiply(sF2,sF4)))),
    inference(forward_demodulation,[],[f960,f422]) ).

fof(f422,plain,
    sF4 = inverse(inverse(sF4)),
    inference(backward_demodulation,[],[f20,f402]) ).

fof(f402,plain,
    b = inverse(sF4),
    inference(forward_demodulation,[],[f380,f103]) ).

fof(f380,plain,
    b = multiply(inverse(h),multiply(h,inverse(sF4))),
    inference(superposition,[],[f103,f131]) ).

fof(f131,plain,
    multiply(h,b) = multiply(h,inverse(sF4)),
    inference(forward_demodulation,[],[f130,f116]) ).

fof(f116,plain,
    multiply(a,multiply(b,sF2)) = multiply(h,inverse(sF4)),
    inference(forward_demodulation,[],[f113,f4]) ).

fof(f113,plain,
    multiply(h,inverse(sF4)) = multiply(a,multiply(b,multiply(sF2,identity))),
    inference(superposition,[],[f111,f5]) ).

fof(f5,axiom,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',right_inverse) ).

fof(f111,plain,
    ! [X0] : multiply(h,X0) = multiply(a,multiply(b,multiply(sF2,multiply(sF4,X0)))),
    inference(forward_demodulation,[],[f110,f3]) ).

fof(f110,plain,
    ! [X0] : multiply(h,X0) = multiply(a,multiply(b,multiply(multiply(sF2,sF4),X0))),
    inference(forward_demodulation,[],[f109,f3]) ).

fof(f109,plain,
    ! [X0] : multiply(a,multiply(multiply(b,multiply(sF2,sF4)),X0)) = multiply(h,X0),
    inference(superposition,[],[f3,f95]) ).

fof(f95,plain,
    h = multiply(a,multiply(b,multiply(sF2,sF4))),
    inference(forward_demodulation,[],[f94,f3]) ).

fof(f94,plain,
    h = multiply(a,multiply(multiply(b,sF2),sF4)),
    inference(forward_demodulation,[],[f72,f3]) ).

fof(f72,plain,
    h = multiply(multiply(a,multiply(b,sF2)),sF4),
    inference(backward_demodulation,[],[f36,f3]) ).

fof(f36,plain,
    h = multiply(multiply(multiply(a,b),sF2),sF4),
    inference(forward_demodulation,[],[f35,f33]) ).

fof(f33,plain,
    d = multiply(multiply(a,b),sF2),
    inference(forward_demodulation,[],[f32,f30]) ).

fof(f30,plain,
    multiply(a,b) = c,
    inference(forward_demodulation,[],[f15,f16]) ).

fof(f16,plain,
    c = sF1,
    inference(definition_folding,[],[f7,f15]) ).

fof(f7,axiom,
    multiply(a,b) = c,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',a_times_b_is_c) ).

fof(f15,plain,
    multiply(a,b) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f32,plain,
    d = multiply(c,sF2),
    inference(forward_demodulation,[],[f18,f19]) ).

fof(f19,plain,
    d = sF3,
    inference(definition_folding,[],[f8,f18,f17]) ).

fof(f17,plain,
    inverse(a) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f8,axiom,
    multiply(c,inverse(a)) = d,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',c_times_inverse_a_is_d) ).

fof(f18,plain,
    multiply(c,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f35,plain,
    h = multiply(d,sF4),
    inference(forward_demodulation,[],[f21,f22]) ).

fof(f22,plain,
    h = sF5,
    inference(definition_folding,[],[f9,f21,f20]) ).

fof(f9,axiom,
    multiply(d,inverse(b)) = h,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',d_times_inverse_b_is_h) ).

fof(f21,plain,
    multiply(d,sF4) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f130,plain,
    multiply(h,b) = multiply(a,multiply(b,sF2)),
    inference(forward_demodulation,[],[f128,f4]) ).

fof(f128,plain,
    multiply(h,b) = multiply(a,multiply(b,multiply(sF2,identity))),
    inference(superposition,[],[f111,f45]) ).

fof(f45,plain,
    identity = multiply(sF4,b),
    inference(superposition,[],[f2,f20]) ).

fof(f20,plain,
    inverse(b) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f960,plain,
    identity = multiply(sF7,multiply(inverse(sF2),multiply(inverse(sF4),multiply(sF2,inverse(inverse(sF4)))))),
    inference(forward_demodulation,[],[f959,f3]) ).

fof(f959,plain,
    identity = multiply(sF7,multiply(inverse(sF2),multiply(multiply(inverse(sF4),sF2),inverse(inverse(sF4))))),
    inference(forward_demodulation,[],[f950,f3]) ).

fof(f950,plain,
    identity = multiply(sF7,multiply(multiply(inverse(sF2),multiply(inverse(sF4),sF2)),inverse(inverse(sF4)))),
    inference(superposition,[],[f86,f944]) ).

fof(f944,plain,
    inverse(sF4) = multiply(sF7,multiply(inverse(sF2),multiply(inverse(sF4),sF2))),
    inference(forward_demodulation,[],[f941,f25]) ).

fof(f25,plain,
    inverse(h) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f941,plain,
    inverse(sF4) = multiply(inverse(h),multiply(inverse(sF2),multiply(inverse(sF4),sF2))),
    inference(superposition,[],[f103,f928]) ).

fof(f928,plain,
    multiply(h,inverse(sF4)) = multiply(inverse(sF2),multiply(inverse(sF4),sF2)),
    inference(backward_demodulation,[],[f425,f406]) ).

fof(f406,plain,
    a = inverse(sF2),
    inference(forward_demodulation,[],[f384,f4]) ).

fof(f384,plain,
    a = multiply(inverse(sF2),identity),
    inference(superposition,[],[f103,f44]) ).

fof(f44,plain,
    identity = multiply(sF2,a),
    inference(superposition,[],[f2,f17]) ).

fof(f425,plain,
    multiply(h,inverse(sF4)) = multiply(a,multiply(inverse(sF4),sF2)),
    inference(backward_demodulation,[],[f116,f402]) ).

fof(f86,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
    inference(superposition,[],[f3,f5]) ).

fof(f1725,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF4,X2))))))),
    inference(forward_demodulation,[],[f1724,f3]) ).

fof(f1724,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(multiply(sF2,sF4),X2)))))),
    inference(forward_demodulation,[],[f1723,f3]) ).

fof(f1723,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(multiply(sF4,multiply(sF2,sF4)),X2))))),
    inference(forward_demodulation,[],[f1722,f3]) ).

fof(f1722,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(multiply(sF4,multiply(sF4,multiply(sF2,sF4))),X2)))),
    inference(forward_demodulation,[],[f1721,f3]) ).

fof(f1721,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(sF7,multiply(sF2,multiply(multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))),X2))),
    inference(forward_demodulation,[],[f1720,f3]) ).

fof(f1720,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(sF7,multiply(multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4))))),X2)),
    inference(forward_demodulation,[],[f1590,f3]) ).

fof(f1590,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),X2)) = multiply(multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),X2),
    inference(superposition,[],[f3,f1333]) ).

fof(f1333,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),
    inference(backward_demodulation,[],[f104,f1095]) ).

fof(f104,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1))))),
    inference(forward_demodulation,[],[f87,f3]) ).

fof(f87,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(X0,X1)))),
    inference(superposition,[],[f3,f6]) ).

fof(f2187,plain,
    ! [X0] : multiply(sF2,multiply(sF2,multiply(sF4,sF2))) = multiply(X0,multiply(sF7,multiply(X0,multiply(sF7,multiply(X0,multiply(sF7,multiply(sF4,sF7))))))),
    inference(superposition,[],[f1730,f2150]) ).

fof(f2150,plain,
    multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,sF2)))) = multiply(sF7,multiply(sF4,sF7)),
    inference(forward_demodulation,[],[f2149,f100]) ).

fof(f2149,plain,
    multiply(sF7,multiply(sF4,sF7)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF4,multiply(sF4,sF2))))))),
    inference(forward_demodulation,[],[f2141,f100]) ).

fof(f2141,plain,
    multiply(sF7,multiply(sF4,sF7)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,sF2)))))))))),
    inference(superposition,[],[f1339,f1992]) ).

fof(f1992,plain,
    multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,sF2)))) = multiply(sF4,multiply(sF7,multiply(sF4,sF7))),
    inference(backward_demodulation,[],[f1108,f1781]) ).

fof(f1781,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,multiply(X1,X0))) = multiply(X0,multiply(X0,multiply(X1,X1))),
    inference(superposition,[],[f100,f1710]) ).

fof(f1710,plain,
    ! [X0,X1] : multiply(X0,X0) = multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))),
    inference(forward_demodulation,[],[f1588,f1330]) ).

fof(f1330,plain,
    ! [X0] : multiply(X0,multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4))))))) = X0,
    inference(backward_demodulation,[],[f4,f1095]) ).

fof(f1588,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,multiply(X1,multiply(X0,X1)))) = multiply(X0,multiply(X0,multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))))),
    inference(superposition,[],[f100,f1333]) ).

fof(f1108,plain,
    multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,sF2)))) = multiply(sF7,multiply(sF7,multiply(sF4,sF4))),
    inference(forward_demodulation,[],[f1107,f3]) ).

fof(f1107,plain,
    multiply(sF2,multiply(sF2,multiply(multiply(sF4,sF4),sF2))) = multiply(sF7,multiply(sF7,multiply(sF4,sF4))),
    inference(forward_demodulation,[],[f1106,f3]) ).

fof(f1106,plain,
    multiply(sF2,multiply(sF2,multiply(multiply(sF4,sF4),sF2))) = multiply(multiply(sF7,sF7),multiply(sF4,sF4)),
    inference(forward_demodulation,[],[f1105,f394]) ).

fof(f1105,plain,
    multiply(sF2,multiply(sF2,multiply(multiply(sF4,sF4),sF2))) = multiply(inverse(sF7),multiply(sF4,sF4)),
    inference(forward_demodulation,[],[f1104,f394]) ).

fof(f1104,plain,
    multiply(sF2,multiply(sF2,multiply(inverse(sF4),sF2))) = multiply(inverse(sF7),inverse(sF4)),
    inference(forward_demodulation,[],[f1064,f3]) ).

fof(f1064,plain,
    multiply(inverse(sF7),inverse(sF4)) = multiply(multiply(sF2,sF2),multiply(inverse(sF4),sF2)),
    inference(backward_demodulation,[],[f978,f394]) ).

fof(f978,plain,
    multiply(inverse(sF2),multiply(inverse(sF4),sF2)) = multiply(inverse(sF7),inverse(sF4)),
    inference(backward_demodulation,[],[f928,f408]) ).

fof(f408,plain,
    h = inverse(sF7),
    inference(forward_demodulation,[],[f386,f4]) ).

fof(f386,plain,
    h = multiply(inverse(sF7),identity),
    inference(superposition,[],[f103,f46]) ).

fof(f46,plain,
    identity = multiply(sF7,h),
    inference(superposition,[],[f2,f25]) ).

fof(f3507,plain,
    ~ sP0(multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF4,sF7))))))),
    inference(backward_demodulation,[],[f2335,f3463]) ).

fof(f3463,plain,
    multiply(sF7,sF4) = multiply(sF4,sF7),
    inference(forward_demodulation,[],[f3434,f2221]) ).

fof(f2221,plain,
    sF7 = multiply(sF2,multiply(sF4,multiply(sF2,multiply(sF4,multiply(sF4,sF2))))),
    inference(superposition,[],[f1730,f2205]) ).

fof(f3434,plain,
    multiply(sF7,sF4) = multiply(sF4,multiply(sF2,multiply(sF4,multiply(sF2,multiply(sF4,multiply(sF4,sF2)))))),
    inference(superposition,[],[f3333,f2892]) ).

fof(f2892,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X0,X1)))))) = X0,
    inference(forward_demodulation,[],[f2580,f61]) ).

fof(f61,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,multiply(X0,X0))) = X1,
    inference(superposition,[],[f4,f6]) ).

fof(f2580,plain,
    ! [X0,X1] : multiply(X0,multiply(sF4,multiply(sF4,sF4))) = multiply(X1,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X0,X1)))))),
    inference(superposition,[],[f100,f2485]) ).

fof(f2485,plain,
    ! [X2,X0,X1] : multiply(sF4,multiply(sF4,sF4)) = multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,X2)))))))),
    inference(forward_demodulation,[],[f1646,f1440]) ).

fof(f1440,plain,
    ! [X0] : multiply(sF4,multiply(sF4,X0)) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,X0)))))),
    inference(superposition,[],[f1339,f100]) ).

fof(f1646,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,X2)))))))) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),
    inference(forward_demodulation,[],[f1645,f3]) ).

fof(f1645,plain,
    ! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X0,multiply(X1,X2))))))) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),
    inference(forward_demodulation,[],[f1563,f3]) ).

fof(f1563,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X0,multiply(X1,X2)))))) = multiply(sF7,multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,sF4)))))),
    inference(superposition,[],[f1333,f3]) ).

fof(f3333,plain,
    ! [X0] : multiply(sF4,multiply(sF2,X0)) = multiply(sF7,multiply(sF2,multiply(sF4,X0))),
    inference(forward_demodulation,[],[f3332,f3]) ).

fof(f3332,plain,
    ! [X0] : multiply(multiply(sF4,sF2),X0) = multiply(sF7,multiply(sF2,multiply(sF4,X0))),
    inference(forward_demodulation,[],[f3324,f3]) ).

fof(f3324,plain,
    ! [X0] : multiply(multiply(sF4,sF2),X0) = multiply(sF7,multiply(multiply(sF2,sF4),X0)),
    inference(superposition,[],[f3,f3313]) ).

fof(f3313,plain,
    multiply(sF4,sF2) = multiply(sF7,multiply(sF2,sF4)),
    inference(forward_demodulation,[],[f3017,f100]) ).

fof(f3017,plain,
    multiply(sF4,multiply(sF4,multiply(sF4,multiply(sF4,sF2)))) = multiply(sF7,multiply(sF2,sF4)),
    inference(superposition,[],[f1440,f2892]) ).

fof(f2335,plain,
    ~ sP0(multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF7,sF4))))))),
    inference(forward_demodulation,[],[f2288,f100]) ).

fof(f2288,plain,
    ~ sP0(multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF4,multiply(sF7,sF4)))))))))),
    inference(backward_demodulation,[],[f1120,f1443]) ).

fof(f1443,plain,
    ! [X0] : multiply(sF7,multiply(sF7,X0)) = multiply(sF2,multiply(sF2,multiply(sF4,multiply(sF4,multiply(sF2,multiply(sF4,X0)))))),
    inference(superposition,[],[f100,f1339]) ).

fof(f1120,plain,
    ~ sP0(multiply(sF7,multiply(sF7,multiply(sF4,multiply(sF4,multiply(sF7,sF4)))))),
    inference(forward_demodulation,[],[f1119,f3]) ).

fof(f1119,plain,
    ~ sP0(multiply(multiply(sF7,sF7),multiply(sF4,multiply(sF4,multiply(sF7,sF4))))),
    inference(forward_demodulation,[],[f1118,f394]) ).

fof(f1118,plain,
    ~ sP0(multiply(inverse(sF7),multiply(sF4,multiply(sF4,multiply(sF7,sF4))))),
    inference(forward_demodulation,[],[f1069,f3]) ).

fof(f1069,plain,
    ~ sP0(multiply(inverse(sF7),multiply(multiply(sF4,sF4),multiply(sF7,sF4)))),
    inference(backward_demodulation,[],[f975,f394]) ).

fof(f975,plain,
    ~ sP0(multiply(inverse(sF7),multiply(inverse(sF4),multiply(sF7,sF4)))),
    inference(backward_demodulation,[],[f238,f408]) ).

fof(f238,plain,
    ~ sP0(multiply(h,multiply(inverse(sF4),multiply(sF7,sF4)))),
    inference(backward_demodulation,[],[f96,f138]) ).

fof(f138,plain,
    ! [X0] : multiply(h,multiply(inverse(sF4),X0)) = multiply(h,multiply(b,X0)),
    inference(forward_demodulation,[],[f137,f3]) ).

fof(f137,plain,
    ! [X0] : multiply(multiply(h,inverse(sF4)),X0) = multiply(h,multiply(b,X0)),
    inference(superposition,[],[f3,f131]) ).

fof(f96,plain,
    ~ sP0(multiply(h,multiply(b,multiply(sF7,sF4)))),
    inference(forward_demodulation,[],[f75,f3]) ).

fof(f75,plain,
    ~ sP0(multiply(multiply(h,b),multiply(sF7,sF4))),
    inference(backward_demodulation,[],[f43,f3]) ).

fof(f43,plain,
    ~ sP0(multiply(multiply(multiply(h,b),sF7),sF4)),
    inference(backward_demodulation,[],[f29,f42]) ).

fof(f42,plain,
    sF9 = multiply(multiply(multiply(h,b),sF7),sF4),
    inference(forward_demodulation,[],[f28,f40]) ).

fof(f40,plain,
    k = multiply(multiply(h,b),sF7),
    inference(forward_demodulation,[],[f39,f37]) ).

fof(f37,plain,
    multiply(h,b) = j,
    inference(forward_demodulation,[],[f23,f24]) ).

fof(f24,plain,
    j = sF6,
    inference(definition_folding,[],[f10,f23]) ).

fof(f10,axiom,
    multiply(h,b) = j,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',h_times_b_is_j) ).

fof(f23,plain,
    multiply(h,b) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f39,plain,
    k = multiply(j,sF7),
    inference(forward_demodulation,[],[f26,f27]) ).

fof(f27,plain,
    k = sF8,
    inference(definition_folding,[],[f11,f26,f25]) ).

fof(f11,axiom,
    multiply(j,inverse(h)) = k,
    file('/export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668',j_times_inverse_h_is_k) ).

fof(f26,plain,
    multiply(j,sF7) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

fof(f28,plain,
    multiply(k,sF4) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f29,plain,
    ~ sP0(sF9),
    inference(definition_folding,[],[f13,f28,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : GRP002-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.09  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Fri May  3 20:38:52 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.28  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.n860j9zfZW/Vampire---4.8_25668
% 0.13/0.63  % (26020)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.13/0.63  % (26013)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.13/0.63  % (26017)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.13/0.63  % (26015)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.13/0.63  % (26016)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.13/0.63  % (26020)Refutation not found, incomplete strategy% (26020)------------------------------
% 0.13/0.63  % (26020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.63  % (26020)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.63  
% 0.13/0.63  % (26020)Memory used [KB]: 961
% 0.13/0.63  % (26020)Time elapsed: 0.001 s
% 0.13/0.63  % (26020)Instructions burned: 2 (million)
% 0.13/0.63  % (26020)------------------------------
% 0.13/0.63  % (26020)------------------------------
% 0.13/0.63  % (26013)Refutation not found, incomplete strategy% (26013)------------------------------
% 0.13/0.63  % (26013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.63  % (26013)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.63  
% 0.13/0.63  % (26013)Memory used [KB]: 975
% 0.13/0.63  % (26013)Time elapsed: 0.002 s
% 0.13/0.63  % (26013)Instructions burned: 2 (million)
% 0.13/0.63  % (26017)Refutation not found, incomplete strategy% (26017)------------------------------
% 0.13/0.63  % (26017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.63  % (26017)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.63  
% 0.13/0.63  % (26014)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.13/0.63  % (26017)Memory used [KB]: 976
% 0.13/0.63  % (26017)Time elapsed: 0.002 s
% 0.13/0.63  % (26017)Instructions burned: 2 (million)
% 0.13/0.63  % (26013)------------------------------
% 0.13/0.63  % (26013)------------------------------
% 0.13/0.63  % (26018)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.13/0.63  % (26017)------------------------------
% 0.13/0.63  % (26017)------------------------------
% 0.13/0.63  % (26019)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.13/0.63  % (26016)Refutation not found, incomplete strategy% (26016)------------------------------
% 0.13/0.63  % (26016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.63  % (26016)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.63  
% 0.13/0.63  % (26016)Memory used [KB]: 962
% 0.13/0.63  % (26016)Time elapsed: 0.003 s
% 0.13/0.63  % (26016)Instructions burned: 2 (million)
% 0.13/0.63  % (26016)------------------------------
% 0.13/0.63  % (26016)------------------------------
% 0.13/0.64  % (26022)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.13/0.64  % (26024)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.13/0.64  % (26025)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.13/0.64  % (26024)Refutation not found, incomplete strategy% (26024)------------------------------
% 0.13/0.64  % (26024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.64  % (26024)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.64  
% 0.13/0.64  % (26024)Memory used [KB]: 963
% 0.13/0.64  % (26024)Time elapsed: 0.001 s
% 0.13/0.64  % (26024)Instructions burned: 2 (million)
% 0.13/0.64  % (26024)------------------------------
% 0.13/0.64  % (26024)------------------------------
% 0.13/0.64  % (26026)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.13/0.64  % (26029)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.13/0.65  % (26022)Instruction limit reached!
% 0.13/0.65  % (26022)------------------------------
% 0.13/0.65  % (26022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.65  % (26022)Termination reason: Unknown
% 0.13/0.65  % (26022)Termination phase: Saturation
% 0.13/0.65  
% 0.13/0.65  % (26022)Memory used [KB]: 1546
% 0.13/0.65  % (26022)Time elapsed: 0.019 s
% 0.13/0.65  % (26022)Instructions burned: 55 (million)
% 0.13/0.65  % (26022)------------------------------
% 0.13/0.65  % (26022)------------------------------
% 0.13/0.65  % (26018)Instruction limit reached!
% 0.13/0.65  % (26018)------------------------------
% 0.13/0.65  % (26018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.65  % (26018)Termination reason: Unknown
% 0.13/0.65  % (26018)Termination phase: Saturation
% 0.13/0.65  
% 0.13/0.65  % (26018)Memory used [KB]: 1234
% 0.13/0.65  % (26018)Time elapsed: 0.024 s
% 0.13/0.65  % (26018)Instructions burned: 46 (million)
% 0.13/0.65  % (26018)------------------------------
% 0.13/0.65  % (26018)------------------------------
% 0.13/0.66  % (26036)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.13/0.66  % (26036)Refutation not found, incomplete strategy% (26036)------------------------------
% 0.13/0.66  % (26036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26036)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.66  
% 0.13/0.66  % (26036)Memory used [KB]: 971
% 0.13/0.66  % (26014)Instruction limit reached!
% 0.13/0.66  % (26014)------------------------------
% 0.13/0.66  % (26014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26036)Time elapsed: 0.001 s
% 0.13/0.66  % (26036)Instructions burned: 2 (million)
% 0.13/0.66  % (26014)Termination reason: Unknown
% 0.13/0.66  % (26014)Termination phase: Saturation
% 0.13/0.66  
% 0.13/0.66  % (26014)Memory used [KB]: 1610
% 0.13/0.66  % (26014)Time elapsed: 0.025 s
% 0.13/0.66  % (26014)Instructions burned: 52 (million)
% 0.13/0.66  % (26014)------------------------------
% 0.13/0.66  % (26014)------------------------------
% 0.13/0.66  % (26036)------------------------------
% 0.13/0.66  % (26036)------------------------------
% 0.13/0.66  % (26015)Instruction limit reached!
% 0.13/0.66  % (26015)------------------------------
% 0.13/0.66  % (26015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26015)Termination reason: Unknown
% 0.13/0.66  % (26015)Termination phase: Saturation
% 0.13/0.66  
% 0.13/0.66  % (26015)Memory used [KB]: 1766
% 0.13/0.66  % (26015)Time elapsed: 0.028 s
% 0.13/0.66  % (26015)Instructions burned: 78 (million)
% 0.13/0.66  % (26015)------------------------------
% 0.13/0.66  % (26015)------------------------------
% 0.13/0.66  % (26038)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.13/0.66  % (26041)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.13/0.66  % (26026)Instruction limit reached!
% 0.13/0.66  % (26026)------------------------------
% 0.13/0.66  % (26026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26026)Termination reason: Unknown
% 0.13/0.66  % (26026)Termination phase: Saturation
% 0.13/0.66  
% 0.13/0.66  % (26026)Memory used [KB]: 1573
% 0.13/0.66  % (26026)Time elapsed: 0.024 s
% 0.13/0.66  % (26026)Instructions burned: 53 (million)
% 0.13/0.66  % (26026)------------------------------
% 0.13/0.66  % (26026)------------------------------
% 0.13/0.66  % (26040)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.13/0.66  % (26041)Refutation not found, incomplete strategy% (26041)------------------------------
% 0.13/0.66  % (26041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26041)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.66  
% 0.13/0.66  % (26041)Memory used [KB]: 977
% 0.13/0.66  % (26041)Time elapsed: 0.002 s
% 0.13/0.66  % (26041)Instructions burned: 3 (million)
% 0.13/0.66  % (26041)------------------------------
% 0.13/0.66  % (26041)------------------------------
% 0.13/0.66  % (26040)Refutation not found, incomplete strategy% (26040)------------------------------
% 0.13/0.66  % (26040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26040)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.66  
% 0.13/0.66  % (26040)Memory used [KB]: 961
% 0.13/0.66  % (26040)Time elapsed: 0.002 s
% 0.13/0.66  % (26040)Instructions burned: 2 (million)
% 0.13/0.66  % (26040)------------------------------
% 0.13/0.66  % (26040)------------------------------
% 0.13/0.66  % (26043)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.13/0.66  % (26044)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.13/0.66  % (26045)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32: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 Vampire---4 for (2996ds/32Mi)
% 0.13/0.66  % (26044)Refutation not found, incomplete strategy% (26044)------------------------------
% 0.13/0.66  % (26044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.66  % (26044)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.66  
% 0.13/0.66  % (26044)Memory used [KB]: 961
% 0.13/0.66  % (26044)Time elapsed: 0.002 s
% 0.13/0.66  % (26044)Instructions burned: 2 (million)
% 0.13/0.66  % (26044)------------------------------
% 0.13/0.66  % (26044)------------------------------
% 0.13/0.66  % (26046)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.13/0.67  % (26047)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.13/0.67  % (26047)Refutation not found, incomplete strategy% (26047)------------------------------
% 0.13/0.67  % (26047)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.67  % (26047)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.67  
% 0.13/0.67  % (26047)Memory used [KB]: 979
% 0.13/0.67  % (26047)Time elapsed: 0.002 s
% 0.13/0.67  % (26047)Instructions burned: 3 (million)
% 0.13/0.67  % (26047)------------------------------
% 0.13/0.67  % (26047)------------------------------
% 0.13/0.67  % (26049)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.13/0.67  % (26045)Instruction limit reached!
% 0.13/0.67  % (26045)------------------------------
% 0.13/0.67  % (26045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.67  % (26045)Termination reason: Unknown
% 0.13/0.67  % (26045)Termination phase: Saturation
% 0.13/0.67  
% 0.13/0.67  % (26045)Memory used [KB]: 1280
% 0.13/0.67  % (26045)Time elapsed: 0.010 s
% 0.13/0.67  % (26045)Instructions burned: 32 (million)
% 0.13/0.67  % (26045)------------------------------
% 0.13/0.67  % (26045)------------------------------
% 0.13/0.67  % (26019)Instruction limit reached!
% 0.13/0.67  % (26019)------------------------------
% 0.13/0.67  % (26019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.67  % (26019)Termination reason: Unknown
% 0.13/0.67  % (26019)Termination phase: Saturation
% 0.13/0.67  
% 0.13/0.67  % (26019)Memory used [KB]: 1921
% 0.13/0.67  % (26019)Time elapsed: 0.041 s
% 0.13/0.67  % (26019)Instructions burned: 83 (million)
% 0.13/0.67  % (26019)------------------------------
% 0.13/0.67  % (26019)------------------------------
% 0.13/0.67  % (26052)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.13/0.67  % (26052)Refutation not found, incomplete strategy% (26052)------------------------------
% 0.13/0.67  % (26052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.67  % (26052)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.67  
% 0.13/0.67  % (26052)Memory used [KB]: 961
% 0.13/0.67  % (26052)Time elapsed: 0.001 s
% 0.13/0.67  % (26052)Instructions burned: 2 (million)
% 0.13/0.67  % (26052)------------------------------
% 0.13/0.67  % (26052)------------------------------
% 0.13/0.67  % (26053)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.13/0.68  % (26054)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.13/0.69  % (26049)Instruction limit reached!
% 0.13/0.69  % (26049)------------------------------
% 0.13/0.69  % (26049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.69  % (26049)Termination reason: Unknown
% 0.13/0.69  % (26049)Termination phase: Saturation
% 0.13/0.69  
% 0.13/0.69  % (26049)Memory used [KB]: 1673
% 0.13/0.69  % (26049)Time elapsed: 0.019 s
% 0.13/0.69  % (26049)Instructions burned: 54 (million)
% 0.13/0.69  % (26049)------------------------------
% 0.13/0.69  % (26049)------------------------------
% 0.13/0.69  % (26043)Instruction limit reached!
% 0.13/0.69  % (26043)------------------------------
% 0.13/0.69  % (26043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.69  % (26043)Termination reason: Unknown
% 0.13/0.69  % (26043)Termination phase: Saturation
% 0.13/0.69  
% 0.13/0.69  % (26043)Memory used [KB]: 1775
% 0.13/0.69  % (26043)Time elapsed: 0.028 s
% 0.13/0.69  % (26043)Instructions burned: 96 (million)
% 0.13/0.69  % (26043)------------------------------
% 0.13/0.69  % (26043)------------------------------
% 0.13/0.69  % (26054)Instruction limit reached!
% 0.13/0.69  % (26054)------------------------------
% 0.13/0.69  % (26054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.69  % (26054)Termination reason: Unknown
% 0.13/0.69  % (26054)Termination phase: Saturation
% 0.13/0.69  
% 0.13/0.69  % (26054)Memory used [KB]: 1483
% 0.13/0.69  % (26054)Time elapsed: 0.013 s
% 0.13/0.69  % (26054)Instructions burned: 37 (million)
% 0.13/0.69  % (26054)------------------------------
% 0.13/0.69  % (26054)------------------------------
% 0.13/0.69  % (26061)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.13/0.69  % (26063)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2996ds/109Mi)
% 0.13/0.69  % (26065)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2996ds/161Mi)
% 0.13/0.69  % (26065)Refutation not found, incomplete strategy% (26065)------------------------------
% 0.13/0.69  % (26065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.69  % (26065)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.69  
% 0.13/0.69  % (26065)Memory used [KB]: 959
% 0.13/0.69  % (26065)Time elapsed: 0.001 s
% 0.13/0.69  % (26065)Instructions burned: 2 (million)
% 0.13/0.69  % (26065)------------------------------
% 0.13/0.69  % (26065)------------------------------
% 0.89/0.69  % (26068)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2996ds/69Mi)
% 0.89/0.70  % (26068)Refutation not found, incomplete strategy% (26068)------------------------------
% 0.89/0.70  % (26068)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.70  % (26068)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.70  
% 0.89/0.70  % (26068)Memory used [KB]: 964
% 0.89/0.70  % (26068)Time elapsed: 0.001 s
% 0.89/0.70  % (26068)Instructions burned: 2 (million)
% 0.89/0.70  % (26068)------------------------------
% 0.89/0.70  % (26068)------------------------------
% 0.89/0.70  % (26025)Instruction limit reached!
% 0.89/0.70  % (26025)------------------------------
% 0.89/0.70  % (26025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.70  % (26025)Termination reason: Unknown
% 0.89/0.70  % (26025)Termination phase: Saturation
% 0.89/0.70  
% 0.89/0.70  % (26025)Memory used [KB]: 3016
% 0.89/0.70  % (26025)Time elapsed: 0.062 s
% 0.89/0.70  % (26025)Instructions burned: 210 (million)
% 0.89/0.70  % (26025)------------------------------
% 0.89/0.70  % (26025)------------------------------
% 0.89/0.70  % (26071)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2996ds/40Mi)
% 0.89/0.70  % (26073)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2996ds/360Mi)
% 0.98/0.71  % (26071)Instruction limit reached!
% 0.98/0.71  % (26071)------------------------------
% 0.98/0.71  % (26071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.71  % (26071)Termination reason: Unknown
% 0.98/0.71  % (26071)Termination phase: Saturation
% 0.98/0.71  
% 0.98/0.71  % (26071)Memory used [KB]: 1418
% 0.98/0.71  % (26071)Time elapsed: 0.016 s
% 0.98/0.71  % (26071)Instructions burned: 42 (million)
% 0.98/0.71  % (26071)------------------------------
% 0.98/0.71  % (26071)------------------------------
% 0.98/0.72  % (26089)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.98/0.72  % (26038)First to succeed.
% 0.98/0.72  % (26061)Instruction limit reached!
% 0.98/0.72  % (26061)------------------------------
% 0.98/0.72  % (26061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.72  % (26061)Termination reason: Unknown
% 0.98/0.72  % (26061)Termination phase: Saturation
% 0.98/0.72  
% 0.98/0.72  % (26061)Memory used [KB]: 1861
% 0.98/0.72  % (26061)Time elapsed: 0.028 s
% 0.98/0.72  % (26061)Instructions burned: 88 (million)
% 0.98/0.72  % (26061)------------------------------
% 0.98/0.72  % (26061)------------------------------
% 0.98/0.72  % (26053)Instruction limit reached!
% 0.98/0.72  % (26053)------------------------------
% 0.98/0.72  % (26053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.72  % (26053)Termination reason: Unknown
% 0.98/0.72  % (26053)Termination phase: Saturation
% 0.98/0.72  
% 0.98/0.72  % (26053)Memory used [KB]: 2912
% 0.98/0.72  % (26053)Time elapsed: 0.044 s
% 0.98/0.72  % (26053)Instructions burned: 103 (million)
% 0.98/0.72  % (26053)------------------------------
% 0.98/0.72  % (26053)------------------------------
% 0.98/0.72  % (26038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25838"
% 0.98/0.72  % (26038)Refutation found. Thanks to Tanya!
% 0.98/0.72  % SZS status Unsatisfiable for Vampire---4
% 0.98/0.72  % SZS output start Proof for Vampire---4
% See solution above
% 0.98/0.72  % (26038)------------------------------
% 0.98/0.72  % (26038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/0.72  % (26038)Termination reason: Refutation
% 0.98/0.72  
% 0.98/0.72  % (26038)Memory used [KB]: 2411
% 0.98/0.72  % (26038)Time elapsed: 0.062 s
% 0.98/0.72  % (26038)Instructions burned: 165 (million)
% 0.98/0.72  % (25838)Success in time 0.42 s
% 0.98/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------