TSTP Solution File: BOO014-10 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : BOO014-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n025.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 04:39:31 EDT 2024

% Result   : Unsatisfiable 235.08s 33.90s
% Output   : Refutation 235.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   52
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  221 ( 221 unt;   0 def)
%            Number of atoms       :  221 ( 220 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-4 aty)
%            Number of variables   :  400 ( 400   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f772747,plain,
    $false,
    inference(trivial_inequality_removal,[],[f772079]) ).

fof(f772079,plain,
    x_inverse_times_y_inverse != x_inverse_times_y_inverse,
    inference(superposition,[],[f27,f770831]) ).

fof(f770831,plain,
    x_inverse_times_y_inverse = inverse(x_plus_y),
    inference(forward_demodulation,[],[f770104,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f770104,plain,
    inverse(x_plus_y) = ifeq2(true,true,x_inverse_times_y_inverse,inverse(x_plus_y)),
    inference(superposition,[],[f85,f769920]) ).

fof(f769920,plain,
    true = sum(additive_identity,x_inverse_times_y_inverse,inverse(x_plus_y)),
    inference(superposition,[],[f769737,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f769737,plain,
    true = ifeq(true,true,sum(additive_identity,x_inverse_times_y_inverse,inverse(x_plus_y)),true),
    inference(superposition,[],[f760082,f10]) ).

fof(f10,axiom,
    ! [X3] : true = product(X3,multiplicative_identity,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f760082,plain,
    ! [X0] : true = ifeq(product(inverse(x_plus_y),multiplicative_identity,X0),true,sum(additive_identity,x_inverse_times_y_inverse,X0),true),
    inference(forward_demodulation,[],[f760081,f412427]) ).

fof(f412427,plain,
    inverse(x_plus_y) = add(inverse(x_plus_y),x_inverse_times_y_inverse),
    inference(forward_demodulation,[],[f411562,f1]) ).

fof(f411562,plain,
    add(inverse(x_plus_y),x_inverse_times_y_inverse) = ifeq2(true,true,inverse(x_plus_y),add(inverse(x_plus_y),x_inverse_times_y_inverse)),
    inference(superposition,[],[f1137,f411129]) ).

fof(f411129,plain,
    true = sum(inverse(x_plus_y),x_inverse_times_y_inverse,inverse(x_plus_y)),
    inference(superposition,[],[f409580,f2]) ).

fof(f409580,plain,
    true = ifeq(true,true,sum(inverse(x_plus_y),x_inverse_times_y_inverse,inverse(x_plus_y)),true),
    inference(forward_demodulation,[],[f409148,f2]) ).

fof(f409148,plain,
    true = ifeq(true,true,ifeq(true,true,sum(inverse(x_plus_y),x_inverse_times_y_inverse,inverse(x_plus_y)),true),true),
    inference(superposition,[],[f199906,f407991]) ).

fof(f407991,plain,
    true = product(x_inverse_times_y_inverse,inverse(x_plus_y),x_inverse_times_y_inverse),
    inference(superposition,[],[f4,f407303]) ).

fof(f407303,plain,
    x_inverse_times_y_inverse = multiply(x_inverse_times_y_inverse,inverse(x_plus_y)),
    inference(forward_demodulation,[],[f406494,f1]) ).

fof(f406494,plain,
    multiply(x_inverse_times_y_inverse,inverse(x_plus_y)) = ifeq2(true,true,x_inverse_times_y_inverse,multiply(x_inverse_times_y_inverse,inverse(x_plus_y))),
    inference(superposition,[],[f108,f406481]) ).

fof(f406481,plain,
    true = product(multiplicative_identity,x_inverse_times_y_inverse,multiply(x_inverse_times_y_inverse,inverse(x_plus_y))),
    inference(superposition,[],[f406470,f2]) ).

fof(f406470,plain,
    true = ifeq(true,true,product(multiplicative_identity,x_inverse_times_y_inverse,multiply(x_inverse_times_y_inverse,inverse(x_plus_y))),true),
    inference(superposition,[],[f326174,f795]) ).

fof(f795,plain,
    ! [X0,X1] : true = product(X0,X1,multiply(X1,X0)),
    inference(superposition,[],[f50,f2]) ).

fof(f50,plain,
    ! [X0,X1] : true = ifeq(true,true,product(X1,X0,multiply(X0,X1)),true),
    inference(superposition,[],[f6,f4]) ).

fof(f6,axiom,
    ! [X3,X4,X5] : true = ifeq(product(X3,X4,X5),true,product(X4,X3,X5),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f326174,plain,
    ! [X0] : true = ifeq(product(inverse(x_plus_y),x_inverse_times_y_inverse,X0),true,product(multiplicative_identity,x_inverse_times_y_inverse,X0),true),
    inference(forward_demodulation,[],[f325491,f2]) ).

fof(f325491,plain,
    ! [X0] : true = ifeq(product(inverse(x_plus_y),x_inverse_times_y_inverse,X0),true,ifeq(true,true,product(multiplicative_identity,x_inverse_times_y_inverse,X0),true),true),
    inference(superposition,[],[f3624,f321666]) ).

fof(f321666,plain,
    true = product(x_plus_y,x_inverse_times_y_inverse,additive_identity),
    inference(backward_demodulation,[],[f294700,f321258]) ).

fof(f321258,plain,
    additive_identity = multiply(y,x_inverse_times_y_inverse),
    inference(forward_demodulation,[],[f320479,f1]) ).

fof(f320479,plain,
    multiply(y,x_inverse_times_y_inverse) = ifeq2(true,true,additive_identity,multiply(y,x_inverse_times_y_inverse)),
    inference(superposition,[],[f112,f320366]) ).

fof(f320366,plain,
    true = product(y,inverse(y),multiply(y,x_inverse_times_y_inverse)),
    inference(superposition,[],[f320215,f2]) ).

fof(f320215,plain,
    true = ifeq(true,true,product(y,inverse(y),multiply(y,x_inverse_times_y_inverse)),true),
    inference(superposition,[],[f238523,f4]) ).

fof(f238523,plain,
    ! [X0] : true = ifeq(product(y,x_inverse_times_y_inverse,X0),true,product(y,inverse(y),X0),true),
    inference(forward_demodulation,[],[f237787,f2]) ).

fof(f237787,plain,
    ! [X0] : true = ifeq(product(y,x_inverse_times_y_inverse,X0),true,ifeq(true,true,product(y,inverse(y),X0),true),true),
    inference(superposition,[],[f3002,f237729]) ).

fof(f237729,plain,
    true = sum(inverse(y),x_inverse_times_y_inverse,inverse(y)),
    inference(superposition,[],[f201671,f2]) ).

fof(f201671,plain,
    true = ifeq(true,true,sum(inverse(y),x_inverse_times_y_inverse,inverse(y)),true),
    inference(forward_demodulation,[],[f201591,f2]) ).

fof(f201591,plain,
    true = ifeq(true,true,ifeq(true,true,sum(inverse(y),x_inverse_times_y_inverse,inverse(y)),true),true),
    inference(superposition,[],[f199905,f281]) ).

fof(f281,plain,
    true = product(inverse(y),inverse(x),x_inverse_times_y_inverse),
    inference(superposition,[],[f53,f2]) ).

fof(f53,plain,
    true = ifeq(true,true,product(inverse(y),inverse(x),x_inverse_times_y_inverse),true),
    inference(superposition,[],[f6,f26]) ).

fof(f26,axiom,
    true = product(inverse(x),inverse(y),x_inverse_times_y_inverse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f199905,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X0,X1,X2),true,sum(X0,X2,X0),true),true),
    inference(forward_demodulation,[],[f198747,f2]) ).

fof(f198747,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X0,X1,X2),true,ifeq(true,true,sum(X0,X2,X0),true),true),true),
    inference(backward_demodulation,[],[f2669,f197423]) ).

fof(f197423,plain,
    ! [X0] : true = sum(multiplicative_identity,X0,multiplicative_identity),
    inference(superposition,[],[f3,f196441]) ).

fof(f196441,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(forward_demodulation,[],[f195088,f1]) ).

fof(f195088,plain,
    ! [X0] : add(multiplicative_identity,X0) = ifeq2(true,true,multiplicative_identity,add(multiplicative_identity,X0)),
    inference(superposition,[],[f1002,f194918]) ).

fof(f194918,plain,
    ! [X0,X1] : true = product(add(X0,X1),X0,X0),
    inference(superposition,[],[f141098,f2]) ).

fof(f141098,plain,
    ! [X0,X1] : true = ifeq(true,true,product(add(X0,X1),X0,X0),true),
    inference(forward_demodulation,[],[f141067,f2]) ).

fof(f141067,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(true,true,product(add(X0,X1),X0,X0),true),true),
    inference(superposition,[],[f136683,f3]) ).

fof(f136683,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(sum(X0,X1,X2),true,product(X2,X0,X0),true),true),
    inference(backward_demodulation,[],[f3782,f130284]) ).

fof(f130284,plain,
    ! [X0] : true = product(X0,additive_identity,additive_identity),
    inference(superposition,[],[f4,f129017]) ).

fof(f129017,plain,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    inference(forward_demodulation,[],[f128002,f1]) ).

fof(f128002,plain,
    ! [X0] : multiply(X0,additive_identity) = ifeq2(true,true,additive_identity,multiply(X0,additive_identity)),
    inference(superposition,[],[f112,f127979]) ).

fof(f127979,plain,
    ! [X0] : true = product(X0,inverse(X0),multiply(X0,additive_identity)),
    inference(superposition,[],[f127877,f2]) ).

fof(f127877,plain,
    ! [X0] : true = ifeq(true,true,product(X0,inverse(X0),multiply(X0,additive_identity)),true),
    inference(superposition,[],[f39050,f4]) ).

fof(f39050,plain,
    ! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,product(X0,inverse(X0),X1),true),
    inference(forward_demodulation,[],[f39024,f2]) ).

fof(f39024,plain,
    ! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(true,true,product(X0,inverse(X0),X1),true),true),
    inference(superposition,[],[f3005,f22]) ).

fof(f22,axiom,
    ! [X3] : true = product(X3,inverse(X3),additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3005,plain,
    ! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,X2),true,ifeq(product(X1,X0,additive_identity),true,product(X1,X0,X2),true),true),
    inference(forward_demodulation,[],[f2985,f2]) ).

fof(f2985,plain,
    ! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,X2),true,ifeq(product(X1,X0,additive_identity),true,ifeq(true,true,product(X1,X0,X2),true),true),true),
    inference(superposition,[],[f213,f8]) ).

fof(f8,axiom,
    ! [X3] : true = sum(X3,additive_identity,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f213,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X3,additive_identity),true,ifeq(sum(X3,X2,X4),true,product(X1,X4,X0),true),true),true),
    inference(forward_demodulation,[],[f187,f2]) ).

fof(f187,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X1,X3,additive_identity),true,ifeq(true,true,ifeq(sum(X3,X2,X4),true,product(X1,X4,X0),true),true),true),true),
    inference(superposition,[],[f12,f7]) ).

fof(f7,axiom,
    ! [X3] : true = sum(additive_identity,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f12,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X3,X5,X8),true,ifeq(product(X3,X4,X9),true,ifeq(sum(X9,X8,X7),true,ifeq(sum(X4,X5,X6),true,product(X3,X6,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3782,plain,
    ! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,additive_identity),true,ifeq(sum(X0,X1,X2),true,product(X2,X0,X0),true),true),
    inference(forward_demodulation,[],[f3756,f2]) ).

fof(f3756,plain,
    ! [X2,X0,X1] : true = ifeq(product(X1,additive_identity,additive_identity),true,ifeq(true,true,ifeq(sum(X0,X1,X2),true,product(X2,X0,X0),true),true),true),
    inference(superposition,[],[f396,f8]) ).

fof(f396,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(sum(X0,X2,X3),true,ifeq(sum(X0,X1,X4),true,product(X4,X3,X0),true),true),true),
    inference(forward_demodulation,[],[f368,f2]) ).

fof(f368,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(true,true,ifeq(sum(X0,X2,X3),true,ifeq(sum(X0,X1,X4),true,product(X4,X3,X0),true),true),true),true),
    inference(superposition,[],[f15,f8]) ).

fof(f15,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X4,X5,X6),true,ifeq(sum(X3,X6,X7),true,ifeq(sum(X3,X5,X8),true,ifeq(sum(X3,X4,X9),true,product(X9,X8,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1002,plain,
    ! [X0,X1] : ifeq2(product(X0,multiplicative_identity,X1),true,X1,X0) = X0,
    inference(superposition,[],[f97,f1]) ).

fof(f97,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(product(X0,multiplicative_identity,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f24,f10]) ).

fof(f24,axiom,
    ! [X3,X10,X11,X4] : ifeq2(product(X3,X4,X10),true,ifeq2(product(X3,X4,X11),true,X11,X10),X10) = X10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3,axiom,
    ! [X3,X4] : sum(X3,X4,add(X3,X4)) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2669,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X0,X1,X2),true,ifeq(sum(multiplicative_identity,X1,multiplicative_identity),true,sum(X0,X2,X0),true),true),true),
    inference(superposition,[],[f155,f10]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),
    inference(forward_demodulation,[],[f128,f2]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),true),
    inference(superposition,[],[f11,f10]) ).

fof(f11,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X3,X6,X7),true,ifeq(product(X3,X5,X8),true,ifeq(product(X3,X4,X9),true,ifeq(sum(X4,X5,X6),true,sum(X9,X8,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3002,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(inverse(X0),X1,X3),true,product(X0,X3,X2),true),true),
    inference(forward_demodulation,[],[f2982,f2]) ).

fof(f2982,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(inverse(X0),X1,X3),true,product(X0,X3,X2),true),true),true),
    inference(superposition,[],[f213,f22]) ).

fof(f112,plain,
    ! [X0,X1] : ifeq2(product(X0,inverse(X0),X1),true,additive_identity,X1) = X1,
    inference(forward_demodulation,[],[f106,f1]) ).

fof(f106,plain,
    ! [X0,X1] : ifeq2(product(X0,inverse(X0),X1),true,ifeq2(true,true,additive_identity,X1),X1) = X1,
    inference(superposition,[],[f24,f22]) ).

fof(f294700,plain,
    true = product(x_plus_y,x_inverse_times_y_inverse,multiply(y,x_inverse_times_y_inverse)),
    inference(superposition,[],[f290856,f2]) ).

fof(f290856,plain,
    true = ifeq(true,true,product(x_plus_y,x_inverse_times_y_inverse,multiply(y,x_inverse_times_y_inverse)),true),
    inference(superposition,[],[f77109,f289664]) ).

fof(f289664,plain,
    true = product(x,x_inverse_times_y_inverse,additive_identity),
    inference(superposition,[],[f4,f289233]) ).

fof(f289233,plain,
    additive_identity = multiply(x,x_inverse_times_y_inverse),
    inference(forward_demodulation,[],[f288540,f1]) ).

fof(f288540,plain,
    multiply(x,x_inverse_times_y_inverse) = ifeq2(true,true,additive_identity,multiply(x,x_inverse_times_y_inverse)),
    inference(superposition,[],[f112,f288282]) ).

fof(f288282,plain,
    true = product(x,inverse(x),multiply(x,x_inverse_times_y_inverse)),
    inference(superposition,[],[f288276,f2]) ).

fof(f288276,plain,
    true = ifeq(true,true,product(x,inverse(x),multiply(x,x_inverse_times_y_inverse)),true),
    inference(superposition,[],[f232749,f4]) ).

fof(f232749,plain,
    ! [X0] : true = ifeq(product(x,x_inverse_times_y_inverse,X0),true,product(x,inverse(x),X0),true),
    inference(forward_demodulation,[],[f232016,f2]) ).

fof(f232016,plain,
    ! [X0] : true = ifeq(product(x,x_inverse_times_y_inverse,X0),true,ifeq(true,true,product(x,inverse(x),X0),true),true),
    inference(superposition,[],[f3002,f231958]) ).

fof(f231958,plain,
    true = sum(inverse(x),x_inverse_times_y_inverse,inverse(x)),
    inference(superposition,[],[f201670,f2]) ).

fof(f201670,plain,
    true = ifeq(true,true,sum(inverse(x),x_inverse_times_y_inverse,inverse(x)),true),
    inference(forward_demodulation,[],[f201590,f2]) ).

fof(f201590,plain,
    true = ifeq(true,true,ifeq(true,true,sum(inverse(x),x_inverse_times_y_inverse,inverse(x)),true),true),
    inference(superposition,[],[f199905,f26]) ).

fof(f77109,plain,
    ! [X0] : true = ifeq(product(x,X0,additive_identity),true,product(x_plus_y,X0,multiply(y,X0)),true),
    inference(forward_demodulation,[],[f77043,f2]) ).

fof(f77043,plain,
    ! [X0] : true = ifeq(product(x,X0,additive_identity),true,ifeq(true,true,product(x_plus_y,X0,multiply(y,X0)),true),true),
    inference(superposition,[],[f3577,f68]) ).

fof(f68,plain,
    true = sum(y,x,x_plus_y),
    inference(superposition,[],[f33,f2]) ).

fof(f33,plain,
    true = ifeq(true,true,sum(y,x,x_plus_y),true),
    inference(superposition,[],[f5,f25]) ).

fof(f25,axiom,
    true = sum(x,y,x_plus_y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f5,axiom,
    ! [X3,X4,X5] : true = ifeq(sum(X3,X4,X5),true,sum(X4,X3,X5),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3577,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X2,X1,additive_identity),true,ifeq(sum(X0,X2,X3),true,product(X3,X1,multiply(X0,X1)),true),true),
    inference(forward_demodulation,[],[f3553,f2]) ).

fof(f3553,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X2,X1,additive_identity),true,ifeq(true,true,ifeq(sum(X0,X2,X3),true,product(X3,X1,multiply(X0,X1)),true),true),true),
    inference(superposition,[],[f321,f4]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X3,X2,X0),true,ifeq(sum(X3,X1,X4),true,product(X4,X2,X0),true),true),true),
    inference(forward_demodulation,[],[f295,f2]) ).

fof(f295,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X3,X2,X0),true,ifeq(true,true,ifeq(sum(X3,X1,X4),true,product(X4,X2,X0),true),true),true),true),
    inference(superposition,[],[f14,f8]) ).

fof(f14,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X5,X3,X8),true,ifeq(product(X4,X3,X9),true,ifeq(sum(X9,X8,X7),true,ifeq(sum(X4,X5,X6),true,product(X6,X3,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f3624,plain,
    ! [X2,X0,X1] : true = ifeq(product(inverse(X0),X1,X2),true,ifeq(product(X0,X1,additive_identity),true,product(multiplicative_identity,X1,X2),true),true),
    inference(forward_demodulation,[],[f3604,f2]) ).

fof(f3604,plain,
    ! [X2,X0,X1] : true = ifeq(product(inverse(X0),X1,X2),true,ifeq(product(X0,X1,additive_identity),true,ifeq(true,true,product(multiplicative_identity,X1,X2),true),true),true),
    inference(superposition,[],[f324,f20]) ).

fof(f20,axiom,
    ! [X3] : true = sum(X3,inverse(X3),multiplicative_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f324,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X3,X2,additive_identity),true,ifeq(sum(X3,X1,X4),true,product(X4,X2,X0),true),true),true),
    inference(forward_demodulation,[],[f298,f2]) ).

fof(f298,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X0),true,ifeq(product(X3,X2,additive_identity),true,ifeq(true,true,ifeq(sum(X3,X1,X4),true,product(X4,X2,X0),true),true),true),true),
    inference(superposition,[],[f14,f7]) ).

fof(f108,plain,
    ! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,X0,X1) = X1,
    inference(forward_demodulation,[],[f102,f1]) ).

fof(f102,plain,
    ! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
    inference(superposition,[],[f24,f9]) ).

fof(f9,axiom,
    ! [X3] : true = product(multiplicative_identity,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f4,axiom,
    ! [X3,X4] : true = product(X3,X4,multiply(X3,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f199906,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X1,X0,X2),true,sum(X0,X2,X0),true),true),
    inference(forward_demodulation,[],[f198748,f2]) ).

fof(f198748,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X1,X0,X2),true,ifeq(true,true,sum(X0,X2,X0),true),true),true),
    inference(backward_demodulation,[],[f3217,f197423]) ).

fof(f3217,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X1,X0,X2),true,ifeq(sum(multiplicative_identity,X1,multiplicative_identity),true,sum(X0,X2,X0),true),true),true),
    inference(superposition,[],[f267,f9]) ).

fof(f267,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),
    inference(forward_demodulation,[],[f240,f2]) ).

fof(f240,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,X0,X4),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X3,X1),true,sum(X0,X4,X2),true),true),true),true),
    inference(superposition,[],[f13,f9]) ).

fof(f13,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X6,X3,X7),true,ifeq(product(X5,X3,X8),true,ifeq(product(X4,X3,X9),true,ifeq(sum(X4,X5,X6),true,sum(X9,X8,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f1137,plain,
    ! [X2,X0,X1] : add(X0,X1) = ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),
    inference(superposition,[],[f72,f1]) ).

fof(f72,plain,
    ! [X2,X0,X1] : add(X0,X1) = ifeq2(true,true,ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),add(X0,X1)),
    inference(superposition,[],[f23,f3]) ).

fof(f23,axiom,
    ! [X3,X10,X11,X4] : ifeq2(sum(X3,X4,X10),true,ifeq2(sum(X3,X4,X11),true,X11,X10),X10) = X10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f760081,plain,
    ! [X0] : true = ifeq(product(add(inverse(x_plus_y),x_inverse_times_y_inverse),multiplicative_identity,X0),true,sum(additive_identity,x_inverse_times_y_inverse,X0),true),
    inference(forward_demodulation,[],[f759369,f2]) ).

fof(f759369,plain,
    ! [X0] : true = ifeq(product(add(inverse(x_plus_y),x_inverse_times_y_inverse),multiplicative_identity,X0),true,ifeq(true,true,sum(additive_identity,x_inverse_times_y_inverse,X0),true),true),
    inference(superposition,[],[f6771,f758936]) ).

fof(f758936,plain,
    true = sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),
    inference(superposition,[],[f756439,f2]) ).

fof(f756439,plain,
    true = ifeq(true,true,sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),true),
    inference(forward_demodulation,[],[f756438,f2]) ).

fof(f756438,plain,
    true = ifeq(true,true,ifeq(true,true,sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),true),true),
    inference(forward_demodulation,[],[f756437,f695236]) ).

fof(f695236,plain,
    true = sum(x_plus_y,inverse(y),multiplicative_identity),
    inference(superposition,[],[f3,f694259]) ).

fof(f694259,plain,
    multiplicative_identity = add(x_plus_y,inverse(y)),
    inference(forward_demodulation,[],[f693472,f1]) ).

fof(f693472,plain,
    add(x_plus_y,inverse(y)) = ifeq2(true,true,multiplicative_identity,add(x_plus_y,inverse(y))),
    inference(superposition,[],[f985,f693377]) ).

fof(f693377,plain,
    true = product(multiplicative_identity,add(x_plus_y,inverse(y)),multiplicative_identity),
    inference(superposition,[],[f685329,f2]) ).

fof(f685329,plain,
    true = ifeq(true,true,product(multiplicative_identity,add(x_plus_y,inverse(y)),multiplicative_identity),true),
    inference(forward_demodulation,[],[f685328,f205090]) ).

fof(f205090,plain,
    ! [X0,X1] : true = product(X1,add(X0,X1),X1),
    inference(superposition,[],[f795,f204706]) ).

fof(f204706,plain,
    ! [X0,X1] : multiply(add(X1,X0),X0) = X0,
    inference(superposition,[],[f196692,f1491]) ).

fof(f1491,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(superposition,[],[f859,f1]) ).

fof(f859,plain,
    ! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
    inference(superposition,[],[f84,f700]) ).

fof(f700,plain,
    ! [X0,X1] : true = sum(X0,X1,add(X1,X0)),
    inference(superposition,[],[f30,f2]) ).

fof(f30,plain,
    ! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
    inference(superposition,[],[f5,f3]) ).

fof(f84,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f78,f1]) ).

fof(f78,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f23,f3]) ).

fof(f196692,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = X0,
    inference(forward_demodulation,[],[f195637,f1]) ).

fof(f195637,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = ifeq2(true,true,X0,multiply(add(X0,X1),X0)),
    inference(superposition,[],[f1183,f194918]) ).

fof(f1183,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = ifeq2(product(X0,X1,X2),true,X2,multiply(X0,X1)),
    inference(superposition,[],[f98,f1]) ).

fof(f98,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = ifeq2(true,true,ifeq2(product(X0,X1,X2),true,X2,multiply(X0,X1)),multiply(X0,X1)),
    inference(superposition,[],[f24,f4]) ).

fof(f685328,plain,
    true = ifeq(product(inverse(y),add(x_plus_y,inverse(y)),inverse(y)),true,product(multiplicative_identity,add(x_plus_y,inverse(y)),multiplicative_identity),true),
    inference(forward_demodulation,[],[f684768,f2]) ).

fof(f684768,plain,
    true = ifeq(product(inverse(y),add(x_plus_y,inverse(y)),inverse(y)),true,ifeq(true,true,product(multiplicative_identity,add(x_plus_y,inverse(y)),multiplicative_identity),true),true),
    inference(superposition,[],[f6040,f684327]) ).

fof(f684327,plain,
    true = product(y,add(x_plus_y,inverse(y)),y),
    inference(superposition,[],[f672954,f2]) ).

fof(f672954,plain,
    true = ifeq(true,true,product(y,add(x_plus_y,inverse(y)),y),true),
    inference(superposition,[],[f132747,f22]) ).

fof(f132747,plain,
    ! [X0] : true = ifeq(product(y,X0,additive_identity),true,product(y,add(x_plus_y,X0),y),true),
    inference(forward_demodulation,[],[f132382,f2]) ).

fof(f132382,plain,
    ! [X0] : true = ifeq(product(y,X0,additive_identity),true,ifeq(true,true,product(y,add(x_plus_y,X0),y),true),true),
    inference(superposition,[],[f2963,f131257]) ).

fof(f131257,plain,
    true = product(y,x_plus_y,y),
    inference(superposition,[],[f4,f130987]) ).

fof(f130987,plain,
    y = multiply(y,x_plus_y),
    inference(forward_demodulation,[],[f130754,f541]) ).

fof(f541,plain,
    ! [X0] : add(X0,additive_identity) = X0,
    inference(forward_demodulation,[],[f537,f1]) ).

fof(f537,plain,
    ! [X0] : add(X0,additive_identity) = ifeq2(true,true,X0,add(X0,additive_identity)),
    inference(superposition,[],[f82,f3]) ).

fof(f82,plain,
    ! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,X0,X1) = X1,
    inference(forward_demodulation,[],[f76,f1]) ).

fof(f76,plain,
    ! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
    inference(superposition,[],[f23,f8]) ).

fof(f130754,plain,
    add(y,additive_identity) = multiply(y,x_plus_y),
    inference(backward_demodulation,[],[f27228,f130282]) ).

fof(f130282,plain,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    inference(superposition,[],[f129017,f1603]) ).

fof(f1603,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[],[f887,f1]) ).

fof(f887,plain,
    ! [X0,X1] : multiply(X1,X0) = ifeq2(true,true,multiply(X0,X1),multiply(X1,X0)),
    inference(superposition,[],[f110,f795]) ).

fof(f110,plain,
    ! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,multiply(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f104,f1]) ).

fof(f104,plain,
    ! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(true,true,multiply(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f24,f4]) ).

fof(f27228,plain,
    multiply(y,x_plus_y) = add(y,multiply(additive_identity,x)),
    inference(forward_demodulation,[],[f26958,f1]) ).

fof(f26958,plain,
    add(y,multiply(additive_identity,x)) = ifeq2(true,true,multiply(y,x_plus_y),add(y,multiply(additive_identity,x))),
    inference(superposition,[],[f110,f26891]) ).

fof(f26891,plain,
    true = product(y,x_plus_y,add(y,multiply(additive_identity,x))),
    inference(superposition,[],[f26888,f2]) ).

fof(f26888,plain,
    true = ifeq(true,true,product(y,x_plus_y,add(y,multiply(additive_identity,x))),true),
    inference(forward_demodulation,[],[f26881,f1491]) ).

fof(f26881,plain,
    true = ifeq(true,true,product(y,x_plus_y,add(multiply(additive_identity,x),y)),true),
    inference(superposition,[],[f15621,f4]) ).

fof(f15621,plain,
    ! [X0] : true = ifeq(product(additive_identity,x,X0),true,product(y,x_plus_y,add(X0,y)),true),
    inference(forward_demodulation,[],[f15613,f2]) ).

fof(f15613,plain,
    ! [X0] : true = ifeq(product(additive_identity,x,X0),true,ifeq(true,true,product(y,x_plus_y,add(X0,y)),true),true),
    inference(superposition,[],[f1752,f3]) ).

fof(f1752,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,x,X0),true,ifeq(sum(X0,y,X1),true,product(y,x_plus_y,X1),true),true),
    inference(forward_demodulation,[],[f1738,f2]) ).

fof(f1738,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,x,X0),true,ifeq(sum(X0,y,X1),true,ifeq(true,true,product(y,x_plus_y,X1),true),true),true),
    inference(superposition,[],[f526,f7]) ).

fof(f526,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,x,X1),true,ifeq(sum(X1,y,X2),true,ifeq(sum(X0,y,X3),true,product(X3,x_plus_y,X2),true),true),true),
    inference(forward_demodulation,[],[f498,f2]) ).

fof(f498,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,x,X1),true,ifeq(sum(X1,y,X2),true,ifeq(true,true,ifeq(sum(X0,y,X3),true,product(X3,x_plus_y,X2),true),true),true),true),
    inference(superposition,[],[f17,f25]) ).

fof(f17,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X4,X5,X6),true,ifeq(sum(X6,X3,X7),true,ifeq(sum(X5,X3,X8),true,ifeq(sum(X4,X3,X9),true,product(X9,X8,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f2963,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X2,X1,additive_identity),true,ifeq(product(X2,X0,X3),true,product(X2,add(X0,X1),X3),true),true),
    inference(forward_demodulation,[],[f2939,f2]) ).

fof(f2939,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X2,X1,additive_identity),true,ifeq(product(X2,X0,X3),true,ifeq(true,true,product(X2,add(X0,X1),X3),true),true),true),
    inference(superposition,[],[f210,f3]) ).

fof(f210,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X1,X3,X0),true,ifeq(sum(X3,X2,X4),true,product(X1,X4,X0),true),true),true),
    inference(forward_demodulation,[],[f184,f2]) ).

fof(f184,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,additive_identity),true,ifeq(product(X1,X3,X0),true,ifeq(true,true,ifeq(sum(X3,X2,X4),true,product(X1,X4,X0),true),true),true),true),
    inference(superposition,[],[f12,f8]) ).

fof(f6040,plain,
    ! [X2,X0,X1] : true = ifeq(product(inverse(X0),X1,inverse(X2)),true,ifeq(product(X0,X1,X2),true,product(multiplicative_identity,X1,multiplicative_identity),true),true),
    inference(forward_demodulation,[],[f6020,f2]) ).

fof(f6020,plain,
    ! [X2,X0,X1] : true = ifeq(product(inverse(X0),X1,inverse(X2)),true,ifeq(product(X0,X1,X2),true,ifeq(true,true,product(multiplicative_identity,X1,multiplicative_identity),true),true),true),
    inference(superposition,[],[f322,f20]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,inverse(X0)),true,ifeq(product(X3,X2,X0),true,ifeq(sum(X3,X1,X4),true,product(X4,X2,multiplicative_identity),true),true),true),
    inference(forward_demodulation,[],[f296,f2]) ).

fof(f296,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,inverse(X0)),true,ifeq(product(X3,X2,X0),true,ifeq(true,true,ifeq(sum(X3,X1,X4),true,product(X4,X2,multiplicative_identity),true),true),true),true),
    inference(superposition,[],[f14,f20]) ).

fof(f985,plain,
    ! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0) = X0,
    inference(superposition,[],[f96,f1]) ).

fof(f96,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f24,f9]) ).

fof(f756437,plain,
    true = ifeq(true,true,ifeq(sum(x_plus_y,inverse(y),multiplicative_identity),true,sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),true),true),
    inference(forward_demodulation,[],[f755766,f2]) ).

fof(f755766,plain,
    true = ifeq(true,true,ifeq(sum(x_plus_y,inverse(y),multiplicative_identity),true,ifeq(true,true,sum(x_plus_y,x_inverse_times_y_inverse,multiplicative_identity),true),true),true),
    inference(superposition,[],[f2091,f755229]) ).

fof(f755229,plain,
    true = sum(x_plus_y,inverse(x),multiplicative_identity),
    inference(superposition,[],[f3,f754250]) ).

fof(f754250,plain,
    multiplicative_identity = add(x_plus_y,inverse(x)),
    inference(forward_demodulation,[],[f753465,f1]) ).

fof(f753465,plain,
    add(x_plus_y,inverse(x)) = ifeq2(true,true,multiplicative_identity,add(x_plus_y,inverse(x))),
    inference(superposition,[],[f985,f753371]) ).

fof(f753371,plain,
    true = product(multiplicative_identity,add(x_plus_y,inverse(x)),multiplicative_identity),
    inference(superposition,[],[f745361,f2]) ).

fof(f745361,plain,
    true = ifeq(true,true,product(multiplicative_identity,add(x_plus_y,inverse(x)),multiplicative_identity),true),
    inference(forward_demodulation,[],[f745360,f205090]) ).

fof(f745360,plain,
    true = ifeq(product(inverse(x),add(x_plus_y,inverse(x)),inverse(x)),true,product(multiplicative_identity,add(x_plus_y,inverse(x)),multiplicative_identity),true),
    inference(forward_demodulation,[],[f744785,f2]) ).

fof(f744785,plain,
    true = ifeq(product(inverse(x),add(x_plus_y,inverse(x)),inverse(x)),true,ifeq(true,true,product(multiplicative_identity,add(x_plus_y,inverse(x)),multiplicative_identity),true),true),
    inference(superposition,[],[f6040,f744370]) ).

fof(f744370,plain,
    true = product(x,add(x_plus_y,inverse(x)),x),
    inference(superposition,[],[f737913,f2]) ).

fof(f737913,plain,
    true = ifeq(true,true,product(x,add(x_plus_y,inverse(x)),x),true),
    inference(superposition,[],[f134620,f22]) ).

fof(f134620,plain,
    ! [X0] : true = ifeq(product(x,X0,additive_identity),true,product(x,add(x_plus_y,X0),x),true),
    inference(forward_demodulation,[],[f134237,f2]) ).

fof(f134237,plain,
    ! [X0] : true = ifeq(product(x,X0,additive_identity),true,ifeq(true,true,product(x,add(x_plus_y,X0),x),true),true),
    inference(superposition,[],[f2963,f131575]) ).

fof(f131575,plain,
    true = product(x,x_plus_y,x),
    inference(superposition,[],[f4,f130989]) ).

fof(f130989,plain,
    x = multiply(x,x_plus_y),
    inference(forward_demodulation,[],[f130803,f541]) ).

fof(f130803,plain,
    add(x,additive_identity) = multiply(x,x_plus_y),
    inference(backward_demodulation,[],[f21401,f130282]) ).

fof(f21401,plain,
    multiply(x,x_plus_y) = add(x,multiply(additive_identity,y)),
    inference(forward_demodulation,[],[f21132,f1]) ).

fof(f21132,plain,
    add(x,multiply(additive_identity,y)) = ifeq2(true,true,multiply(x,x_plus_y),add(x,multiply(additive_identity,y))),
    inference(superposition,[],[f110,f21064]) ).

fof(f21064,plain,
    true = product(x,x_plus_y,add(x,multiply(additive_identity,y))),
    inference(superposition,[],[f21055,f2]) ).

fof(f21055,plain,
    true = ifeq(true,true,product(x,x_plus_y,add(x,multiply(additive_identity,y))),true),
    inference(superposition,[],[f15442,f4]) ).

fof(f15442,plain,
    ! [X0] : true = ifeq(product(additive_identity,y,X0),true,product(x,x_plus_y,add(x,X0)),true),
    inference(forward_demodulation,[],[f15434,f2]) ).

fof(f15434,plain,
    ! [X0] : true = ifeq(product(additive_identity,y,X0),true,ifeq(true,true,product(x,x_plus_y,add(x,X0)),true),true),
    inference(superposition,[],[f1529,f3]) ).

fof(f1529,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,y,X0),true,ifeq(sum(x,X0,X1),true,product(x,x_plus_y,X1),true),true),
    inference(forward_demodulation,[],[f1515,f2]) ).

fof(f1515,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,y,X0),true,ifeq(sum(x,X0,X1),true,ifeq(true,true,product(x,x_plus_y,X1),true),true),true),
    inference(superposition,[],[f408,f8]) ).

fof(f408,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,y,X1),true,ifeq(sum(x,X1,X2),true,ifeq(sum(x,X0,X3),true,product(X3,x_plus_y,X2),true),true),true),
    inference(forward_demodulation,[],[f380,f2]) ).

fof(f380,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,y,X1),true,ifeq(sum(x,X1,X2),true,ifeq(true,true,ifeq(sum(x,X0,X3),true,product(X3,x_plus_y,X2),true),true),true),true),
    inference(superposition,[],[f15,f25]) ).

fof(f2091,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(sum(X1,inverse(y),multiplicative_identity),true,ifeq(sum(X1,inverse(x),X0),true,sum(X1,x_inverse_times_y_inverse,X0),true),true),true),
    inference(superposition,[],[f459,f10]) ).

fof(f459,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(X3,inverse(y),X1),true,ifeq(sum(X3,inverse(x),X0),true,sum(X3,x_inverse_times_y_inverse,X2),true),true),true),
    inference(forward_demodulation,[],[f430,f2]) ).

fof(f430,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(X3,inverse(y),X1),true,ifeq(sum(X3,inverse(x),X0),true,sum(X3,x_inverse_times_y_inverse,X2),true),true),true),true),
    inference(superposition,[],[f16,f26]) ).

fof(f16,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X9,X8,X7),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X3,X5,X8),true,ifeq(sum(X3,X4,X9),true,sum(X3,X6,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6771,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(add(inverse(X0),X1),X2,X3),true,ifeq(sum(X0,X1,X2),true,sum(additive_identity,X1,X3),true),true),
    inference(forward_demodulation,[],[f6751,f2]) ).

fof(f6751,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(add(inverse(X0),X1),X2,X3),true,ifeq(sum(X0,X1,X2),true,ifeq(true,true,sum(additive_identity,X1,X3),true),true),true),
    inference(superposition,[],[f581,f3]) ).

fof(f581,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X3),true,ifeq(sum(X0,X4,X2),true,ifeq(sum(inverse(X0),X4,X1),true,sum(additive_identity,X4,X3),true),true),true),
    inference(forward_demodulation,[],[f552,f2]) ).

fof(f552,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X3),true,ifeq(true,true,ifeq(sum(X0,X4,X2),true,ifeq(sum(inverse(X0),X4,X1),true,sum(additive_identity,X4,X3),true),true),true),true),
    inference(superposition,[],[f18,f21]) ).

fof(f21,axiom,
    ! [X3] : true = product(inverse(X3),X3,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f18,axiom,
    ! [X3,X8,X6,X9,X7,X4,X5] : true = ifeq(product(X9,X8,X7),true,ifeq(product(X4,X5,X6),true,ifeq(sum(X5,X3,X8),true,ifeq(sum(X4,X3,X9),true,sum(X6,X3,X7),true),true),true),true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f85,plain,
    ! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X0,X1) = X1,
    inference(forward_demodulation,[],[f79,f1]) ).

fof(f79,plain,
    ! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,ifeq2(true,true,X0,X1),X1) = X1,
    inference(superposition,[],[f23,f7]) ).

fof(f27,axiom,
    x_inverse_times_y_inverse != inverse(x_plus_y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : BOO014-10 : TPTP v8.2.0. Released v7.3.0.
% 0.10/0.11  % Command    : run_vampire %s %d SAT
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Jun 18 19:42:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.35  Running first-order model finding
% 0.12/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.40  % (3518)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.41  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (3516)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.41  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (3520)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.42  TRYING [1]
% 0.21/0.42  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (3519)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.42  TRYING [2]
% 0.21/0.42  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (3515)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.43  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (3517)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.43  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (3514)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.43  % (3518)Instruction limit reached!
% 0.21/0.43  % (3518)------------------------------
% 0.21/0.43  % (3518)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43  % (3518)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43  % (3518)Termination reason: Time limit
% 0.21/0.43  % (3518)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (3518)Memory used [KB]: 2405
% 0.21/0.43  % (3518)Time elapsed: 0.035 s
% 0.21/0.43  % (3518)Instructions burned: 104 (million)
% 0.21/0.44  Cannot represent all propositional literals internally
% 0.21/0.44  % (3517)Refutation not found, incomplete strategy% (3517)------------------------------
% 0.21/0.44  % (3517)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (3517)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (3517)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44  
% 0.21/0.44  % (3517)Memory used [KB]: 966
% 0.21/0.44  % (3517)Time elapsed: 0.012 s
% 0.21/0.44  % (3517)Instructions burned: 20 (million)
% 0.21/0.44  % (3517)------------------------------
% 0.21/0.44  % (3517)------------------------------
% 0.21/0.46  TRYING [3]
% 0.21/0.47  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.47  % (3521)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.21/0.47  % (3520)Instruction limit reached!
% 0.21/0.47  % (3520)------------------------------
% 0.21/0.47  % (3520)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47  % (3520)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47  % (3520)Termination reason: Time limit
% 0.21/0.47  % (3520)Termination phase: Saturation
% 0.21/0.47  
% 0.21/0.47  % (3520)Memory used [KB]: 2007
% 0.21/0.47  % (3520)Time elapsed: 0.060 s
% 0.21/0.47  % (3520)Instructions burned: 116 (million)
% 0.21/0.48  % (3519)Instruction limit reached!
% 0.21/0.48  % (3519)------------------------------
% 0.21/0.48  % (3519)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (3519)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (3519)Termination reason: Time limit
% 0.21/0.48  % (3519)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (3519)Memory used [KB]: 2573
% 0.21/0.48  % (3519)Time elapsed: 0.062 s
% 0.21/0.48  % (3519)Instructions burned: 148 (million)
% 0.21/0.48  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (3522)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.21/0.50  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50  % (3523)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.21/0.51  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (3524)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.21/0.53  % (3522)Instruction limit reached!
% 0.21/0.53  % (3522)------------------------------
% 0.21/0.53  % (3522)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53  % (3522)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53  % (3522)Termination reason: Time limit
% 0.21/0.53  % (3522)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (3522)Memory used [KB]: 2887
% 0.21/0.53  % (3522)Time elapsed: 0.053 s
% 0.21/0.53  % (3522)Instructions burned: 175 (million)
% 0.21/0.58  % (3513)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.58  % (3525)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.21/0.58  TRYING [1]
% 0.21/0.59  TRYING [2]
% 0.21/0.59  % (3521)Instruction limit reached!
% 0.21/0.59  % (3521)------------------------------
% 0.21/0.59  % (3521)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.59  % (3521)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.59  % (3521)Termination reason: Time limit
% 0.21/0.59  % (3521)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (3521)Memory used [KB]: 4507
% 0.21/0.59  % (3521)Time elapsed: 0.123 s
% 0.21/0.59  % (3521)Instructions burned: 404 (million)
% 1.77/0.62  % (3523)Instruction limit reached!
% 1.77/0.62  % (3523)------------------------------
% 1.77/0.62  % (3523)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.62  % (3523)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.62  % (3523)Termination reason: Time limit
% 1.77/0.62  % (3523)Termination phase: Saturation
% 1.77/0.62  
% 1.77/0.62  % (3523)Memory used [KB]: 4364
% 1.77/0.62  % (3523)Time elapsed: 0.104 s
% 1.77/0.62  % (3523)Instructions burned: 270 (million)
% 1.77/0.62  TRYING [3]
% 1.77/0.62  % (3513)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.62  % (3526)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.97/0.66  % (3513)Running in auto input_syntax mode. Trying TPTP
% 1.97/0.66  % (3527)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2997ds/1187Mi)
% 2.66/0.81  % (3524)Instruction limit reached!
% 2.66/0.81  % (3524)------------------------------
% 2.66/0.81  % (3524)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.66/0.81  % (3524)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.66/0.81  % (3524)Termination reason: Time limit
% 2.66/0.81  % (3524)Termination phase: Saturation
% 2.66/0.81  
% 2.66/0.81  % (3524)Memory used [KB]: 10198
% 2.66/0.81  % (3524)Time elapsed: 0.298 s
% 2.66/0.81  % (3524)Instructions burned: 900 (million)
% 2.66/0.85  % (3513)Running in auto input_syntax mode. Trying TPTP
% 2.66/0.85  % (3528)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2995ds/23580Mi)
% 3.05/0.86  TRYING [1]
% 3.05/0.86  TRYING [2]
% 3.15/0.90  TRYING [3]
% 3.36/0.94  TRYING [4]
% 3.65/1.06  % (3527)Instruction limit reached!
% 3.65/1.06  % (3527)------------------------------
% 3.65/1.06  % (3527)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.65/1.06  % (3527)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.65/1.06  % (3527)Termination reason: Time limit
% 3.65/1.06  % (3527)Termination phase: Saturation
% 3.65/1.06  
% 3.65/1.06  % (3527)Memory used [KB]: 9824
% 3.65/1.06  % (3527)Time elapsed: 0.395 s
% 3.65/1.06  % (3527)Instructions burned: 1189 (million)
% 4.34/1.09  % (3513)Running in auto input_syntax mode. Trying TPTP
% 4.34/1.09  % (3529)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2992ds/2892Mi)
% 4.34/1.10  Cannot represent all propositional literals internally
% 4.34/1.10  % (3529)Refutation not found, incomplete strategy% (3529)------------------------------
% 4.34/1.10  % (3529)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.34/1.10  % (3529)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.34/1.10  % (3529)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.10  
% 4.34/1.10  % (3529)Memory used [KB]: 965
% 4.34/1.10  % (3529)Time elapsed: 0.007 s
% 4.34/1.10  % (3529)Instructions burned: 20 (million)
% 4.34/1.10  % (3529)------------------------------
% 4.34/1.10  % (3529)------------------------------
% 4.34/1.13  % (3513)Running in auto input_syntax mode. Trying TPTP
% 4.34/1.13  % (3530)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2992ds/1693Mi)
% 4.34/1.14  TRYING [4]
% 6.65/1.32  % (3526)Instruction limit reached!
% 6.65/1.32  % (3526)------------------------------
% 6.65/1.32  % (3526)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.65/1.32  % (3526)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.65/1.32  % (3526)Termination reason: Time limit
% 6.65/1.32  % (3526)Termination phase: Saturation
% 6.65/1.32  
% 6.65/1.32  % (3526)Memory used [KB]: 18907
% 6.65/1.32  % (3526)Time elapsed: 0.702 s
% 6.65/1.32  % (3526)Instructions burned: 2147 (million)
% 6.65/1.36  % (3513)Running in auto input_syntax mode. Trying TPTP
% 6.65/1.36  % (3531)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2990ds/1735Mi)
% 7.04/1.42  TRYING [4]
% 10.17/1.80  % (3530)Instruction limit reached!
% 10.17/1.80  % (3530)------------------------------
% 10.17/1.80  % (3530)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.17/1.80  % (3530)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.17/1.80  % (3530)Termination reason: Time limit
% 10.17/1.80  % (3530)Termination phase: Saturation
% 10.17/1.80  
% 10.17/1.80  % (3530)Memory used [KB]: 18227
% 10.17/1.80  % (3530)Time elapsed: 0.675 s
% 10.17/1.80  % (3530)Instructions burned: 1694 (million)
% 10.17/1.83  % (3531)Instruction limit reached!
% 10.17/1.83  % (3531)------------------------------
% 10.17/1.83  % (3531)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.17/1.83  % (3531)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.17/1.83  % (3531)Termination reason: Time limit
% 10.17/1.83  % (3531)Termination phase: Saturation
% 10.17/1.83  
% 10.17/1.83  % (3531)Memory used [KB]: 13360
% 10.17/1.83  % (3531)Time elapsed: 0.474 s
% 10.17/1.83  % (3531)Instructions burned: 1740 (million)
% 10.35/1.84  % (3513)Running in auto input_syntax mode. Trying TPTP
% 10.35/1.84  % (3532)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2985ds/131798Mi)
% 10.35/1.87  % (3513)Running in auto input_syntax mode. Trying TPTP
% 10.35/1.87  % (3533)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2985ds/3451Mi)
% 10.35/1.88  TRYING [4]
% 14.16/2.38  % (3525)Instruction limit reached!
% 14.16/2.38  % (3525)------------------------------
% 14.16/2.38  % (3525)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.16/2.38  % (3525)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.16/2.38  % (3525)Termination reason: Time limit
% 14.16/2.38  % (3525)Termination phase: Finite model building SAT solving
% 14.16/2.38  
% 14.16/2.38  % (3525)Memory used [KB]: 107478
% 14.16/2.38  % (3525)Time elapsed: 1.803 s
% 14.16/2.38  % (3525)Instructions burned: 7862 (million)
% 14.48/2.43  % (3513)Running in auto input_syntax mode. Trying TPTP
% 14.48/2.43  % (3534)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2979ds/3978Mi)
% 15.02/2.52  % (3533)Instruction limit reached!
% 15.02/2.52  % (3533)------------------------------
% 15.02/2.52  % (3533)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.02/2.52  % (3533)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.02/2.52  % (3533)Termination reason: Time limit
% 15.02/2.52  % (3533)Termination phase: Finite model building constraint generation
% 15.02/2.52  
% 15.02/2.52  % (3533)Memory used [KB]: 981
% 15.02/2.52  % (3533)Time elapsed: 0.651 s
% 15.02/2.52  % (3533)Instructions burned: 3454 (million)
% 15.02/2.57  % (3513)Running in auto input_syntax mode. Trying TPTP
% 15.02/2.57  % (3535)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2978ds/33091Mi)
% 23.32/3.71  % (3534)Instruction limit reached!
% 23.32/3.71  % (3534)------------------------------
% 23.32/3.71  % (3534)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.32/3.71  % (3534)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.32/3.71  % (3534)Termination reason: Time limit
% 23.32/3.71  % (3534)Termination phase: Saturation
% 23.32/3.71  
% 23.32/3.71  % (3534)Memory used [KB]: 33039
% 23.32/3.71  % (3534)Time elapsed: 1.282 s
% 23.32/3.71  % (3534)Instructions burned: 3978 (million)
% 23.59/3.74  % (3513)Running in auto input_syntax mode. Trying TPTP
% 23.59/3.74  % (3536)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2966ds/9564Mi)
% 41.58/6.35  % (3528)Instruction limit reached!
% 41.58/6.35  % (3528)------------------------------
% 41.58/6.35  % (3528)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 41.58/6.35  % (3528)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 41.58/6.35  % (3528)Termination reason: Time limit
% 41.58/6.35  % (3528)Termination phase: Finite model building SAT solving
% 41.58/6.35  
% 41.58/6.35  % (3528)Memory used [KB]: 107398
% 41.58/6.35  % (3528)Time elapsed: 5.498 s
% 41.58/6.35  % (3528)Instructions burned: 23582 (million)
% 42.35/6.40  % (3513)Running in auto input_syntax mode. Trying TPTP
% 42.35/6.40  % (3537)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2939ds/50409Mi)
% 42.35/6.41  TRYING [1]
% 42.35/6.41  TRYING [2]
% 42.45/6.45  TRYING [3]
% 45.34/6.88  % (3536)Instruction limit reached!
% 45.34/6.88  % (3536)------------------------------
% 45.34/6.88  % (3536)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 45.34/6.88  % (3536)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 45.34/6.88  % (3536)Termination reason: Time limit
% 45.34/6.88  % (3536)Termination phase: Saturation
% 45.34/6.88  
% 45.34/6.88  % (3536)Memory used [KB]: 81906
% 45.34/6.88  % (3536)Time elapsed: 3.134 s
% 45.34/6.88  % (3536)Instructions burned: 9566 (million)
% 45.90/6.92  % (3513)Running in auto input_syntax mode. Trying TPTP
% 45.90/6.92  % (3538)dis+2_3:1_bsr=on:sil=64000:abs=on:i=10852:gsp=on:fs=off:fsr=off_0 on theBenchmark for (2934ds/10852Mi)
% 45.90/6.94  TRYING [4]
% 53.31/8.00  TRYING [5]
% 60.16/9.01  TRYING [5]
% 63.73/9.46  TRYING [10]
% 66.97/9.98  % (3538)Instruction limit reached!
% 66.97/9.98  % (3538)------------------------------
% 66.97/9.98  % (3538)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 66.97/9.98  % (3538)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 66.97/9.98  % (3538)Termination reason: Time limit
% 66.97/9.98  % (3538)Termination phase: Saturation
% 66.97/9.98  
% 66.97/9.98  % (3538)Memory used [KB]: 43029
% 66.97/9.98  % (3538)Time elapsed: 3.065 s
% 66.97/9.98  % (3538)Instructions burned: 10854 (million)
% 67.47/10.02  % (3513)Running in auto input_syntax mode. Trying TPTP
% 67.47/10.02  % (3539)dis+11_61:31_bsr=unit_only:sil=16000:sp=frequency:rp=on:newcnf=on:i=11327:uhcvi=on:rawr=on:abs=on:lsd=5:add=off_0 on theBenchmark for (2903ds/11327Mi)
% 87.33/12.88  % (3535)Instruction limit reached!
% 87.33/12.88  % (3535)------------------------------
% 87.33/12.88  % (3535)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 87.33/12.88  % (3535)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 87.33/12.88  % (3535)Termination reason: Time limit
% 87.33/12.88  % (3535)Termination phase: Saturation
% 87.33/12.88  
% 87.33/12.88  % (3535)Memory used [KB]: 199777
% 87.33/12.88  % (3535)Time elapsed: 10.326 s
% 87.33/12.88  % (3535)Instructions burned: 33093 (million)
% 87.95/12.93  % (3513)Running in auto input_syntax mode. Trying TPTP
% 87.95/12.93  % (3540)fmb+10_1:1_fmbas=expand:sil=128000:i=17908:nm=2:fmbss=15:gsp=on_0 on theBenchmark for (2874ds/17908Mi)
% 92.18/13.58  % (3539)Instruction limit reached!
% 92.18/13.58  % (3539)------------------------------
% 92.18/13.58  % (3539)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 92.18/13.58  % (3539)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 92.18/13.58  % (3539)Termination reason: Time limit
% 92.18/13.58  % (3539)Termination phase: Saturation
% 92.18/13.58  
% 92.18/13.58  % (3539)Memory used [KB]: 95221
% 92.18/13.58  % (3539)Time elapsed: 3.559 s
% 92.18/13.58  % (3539)Instructions burned: 11328 (million)
% 92.18/13.62  % (3513)Running in auto input_syntax mode. Trying TPTP
% 92.18/13.62  % (3698)dis+11_1:1_anc=all:sil=64000:rp=on:newcnf=on:i=22636:alpa=false:atotf=0.1:gs=on_0 on theBenchmark for (2867ds/22636Mi)
% 93.72/13.81  TRYING [5]
% 110.81/16.23  % (3540)Instruction limit reached!
% 110.81/16.23  % (3540)------------------------------
% 110.81/16.23  % (3540)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 110.81/16.23  % (3540)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 110.81/16.23  % (3540)Termination reason: Time limit
% 110.81/16.23  % (3540)Termination phase: Finite model building constraint generation
% 110.81/16.23  
% 110.81/16.23  % (3540)Memory used [KB]: 981
% 110.81/16.23  % (3540)Time elapsed: 3.278 s
% 110.81/16.23  % (3540)Instructions burned: 17908 (million)
% 112.05/16.37  % (3513)Running in auto input_syntax mode. Trying TPTP
% 112.05/16.37  % (3768)fmb+10_1:1_i=30223_0 on theBenchmark for (2840ds/30223Mi)
% 112.05/16.38  TRYING [1]
% 112.05/16.38  TRYING [2]
% 112.05/16.42  TRYING [3]
% 115.64/16.90  TRYING [4]
% 122.46/17.89  % (3537)Instruction limit reached!
% 122.46/17.89  % (3537)------------------------------
% 122.46/17.89  % (3537)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 122.46/17.89  % (3537)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 122.46/17.89  % (3537)Termination reason: Time limit
% 122.46/17.89  % (3537)Termination phase: Finite model building constraint generation
% 122.46/17.89  
% 122.46/17.89  % (3537)Memory used [KB]: 707159
% 122.46/17.89  % (3537)Time elapsed: 11.488 s
% 122.46/17.89  % (3537)Instructions burned: 50410 (million)
% 123.34/17.99  % (3513)Running in auto input_syntax mode. Trying TPTP
% 123.34/17.99  % (3769)ott+11_8:1_sil=64000:i=37350:fsr=off:bsr=unit_only:newcnf=on_0 on theBenchmark for (2824ds/37350Mi)
% 133.81/19.50  % (3514)Instruction limit reached!
% 133.81/19.50  % (3514)------------------------------
% 133.81/19.50  % (3514)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 133.81/19.50  % (3514)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 133.81/19.50  % (3514)Termination reason: Time limit
% 133.81/19.50  % (3514)Termination phase: Finite model building constraint generation
% 133.81/19.50  
% 133.81/19.50  % (3514)Memory used [KB]: 4468956
% 133.81/19.50  % (3514)Time elapsed: 19.050 s
% 133.81/19.50  % (3514)Instructions burned: 98886 (million)
% 137.47/20.02  % (3513)Running in auto input_syntax mode. Trying TPTP
% 137.47/20.02  % (3770)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency:i=80557_0 on theBenchmark for (2803ds/80557Mi)
% 143.91/20.94  % (3698)Instruction limit reached!
% 143.91/20.94  % (3698)------------------------------
% 143.91/20.94  % (3698)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 143.91/20.94  % (3698)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 143.91/20.94  % (3698)Termination reason: Time limit
% 143.91/20.94  % (3698)Termination phase: Saturation
% 143.91/20.94  
% 143.91/20.94  % (3698)Memory used [KB]: 285387
% 143.91/20.94  % (3698)Time elapsed: 7.325 s
% 143.91/20.94  % (3698)Instructions burned: 22636 (million)
% 144.42/21.00  % (3513)Running in auto input_syntax mode. Trying TPTP
% 144.42/21.00  % (3771)fmb+10_1:1_sil=128000:fmbss=21:newcnf=on:i=44200:gsp=on_0 on theBenchmark for (2793ds/44200Mi)
% 144.42/21.01  Cannot represent all propositional literals internally
% 144.42/21.01  % (3771)Refutation not found, incomplete strategy% (3771)------------------------------
% 144.42/21.01  % (3771)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 144.42/21.01  % (3771)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 144.42/21.01  % (3771)Termination reason: Refutation not found, incomplete strategy
% 144.42/21.01  
% 144.42/21.01  % (3771)Memory used [KB]: 965
% 144.42/21.01  % (3771)Time elapsed: 0.007 s
% 144.42/21.01  % (3771)Instructions burned: 20 (million)
% 144.42/21.01  % (3771)------------------------------
% 144.42/21.01  % (3771)------------------------------
% 144.42/21.04  % (3513)Running in auto input_syntax mode. Trying TPTP
% 144.42/21.04  % (3772)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity:i=55207_0 on theBenchmark for (2793ds/55207Mi)
% 158.95/23.05  % (3768)Instruction limit reached!
% 158.95/23.05  % (3768)------------------------------
% 158.95/23.05  % (3768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 158.95/23.05  % (3768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 158.95/23.05  % (3768)Termination reason: Time limit
% 158.95/23.05  % (3768)Termination phase: Finite model building SAT solving
% 158.95/23.05  
% 158.95/23.05  % (3768)Memory used [KB]: 107398
% 158.95/23.05  % (3768)Time elapsed: 6.677 s
% 158.95/23.05  % (3768)Instructions burned: 30224 (million)
% 158.95/23.10  % (3513)Running in auto input_syntax mode. Trying TPTP
% 158.95/23.10  % (3773)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0:i=81447_0 on theBenchmark for (2773ds/81447Mi)
% 222.35/32.13  % (3532)Instruction limit reached!
% 222.35/32.13  % (3532)------------------------------
% 222.35/32.13  % (3532)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 222.35/32.13  % (3532)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 222.35/32.13  % (3532)Termination reason: Time limit
% 222.35/32.13  % (3532)Termination phase: Finite model building SAT solving
% 222.35/32.13  
% 222.35/32.13  % (3532)Memory used [KB]: 707159
% 222.35/32.13  % (3532)Time elapsed: 30.287 s
% 222.35/32.13  % (3532)Instructions burned: 131799 (million)
% 223.94/32.34  % (3513)Running in auto input_syntax mode. Trying TPTP
% 223.94/32.34  % (4135)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off:i=93915_0 on theBenchmark for (2680ds/93915Mi)
% 234.10/33.85  % (3770)First to succeed.
% 234.10/33.85  % (3770)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3513"
% 235.08/33.90  % (3513)Running in auto input_syntax mode. Trying TPTP
% 235.08/33.90  % (3770)Refutation found. Thanks to Tanya!
% 235.08/33.90  % SZS status Unsatisfiable for theBenchmark
% 235.08/33.90  % SZS output start Proof for theBenchmark
% See solution above
% 235.08/33.90  % (3770)------------------------------
% 235.08/33.90  % (3770)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 235.08/33.90  % (3770)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 235.08/33.90  % (3770)Termination reason: Refutation
% 235.08/33.90  
% 235.08/33.90  % (3770)Memory used [KB]: 319373
% 235.08/33.90  % (3770)Time elapsed: 13.848 s
% 235.08/33.90  % (3770)Instructions burned: 38296 (million)
% 235.08/33.90  % (3770)------------------------------
% 235.08/33.90  % (3770)------------------------------
% 235.08/33.90  % (3513)Success in time 33.537 s
%------------------------------------------------------------------------------