TSTP Solution File: BOO015-10 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : BOO015-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n003.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 04:38:50 EDT 2024

% Result   : Unsatisfiable 78.47s 11.67s
% Output   : Refutation 78.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  288 ( 288 unt;   0 def)
%            Number of atoms       :  288 ( 287 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  12 con; 0-4 aty)
%            Number of variables   :  408 ( 408   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f316550,plain,
    $false,
    inference(subsumption_resolution,[],[f316549,f29]) ).

fof(f29,plain,
    x_inverse_plus_y_inverse != sF0,
    inference(definition_folding,[],[f27,f28]) ).

fof(f28,plain,
    inverse(x_times_y) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f27,axiom,
    x_inverse_plus_y_inverse != inverse(x_times_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f316549,plain,
    x_inverse_plus_y_inverse = sF0,
    inference(forward_demodulation,[],[f316375,f484]) ).

fof(f484,plain,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    inference(forward_demodulation,[],[f480,f1]) ).

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

fof(f480,plain,
    ! [X0] : ifeq2(true,true,multiply(X0,multiplicative_identity),X0) = X0,
    inference(superposition,[],[f262,f132]) ).

fof(f132,plain,
    ! [X0,X1] : true = product(X1,X0,multiply(X0,X1)),
    inference(forward_demodulation,[],[f108,f2]) ).

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

fof(f108,plain,
    ! [X0,X1] : true = ifeq(true,true,product(X1,X0,multiply(X0,X1)),true),
    inference(superposition,[],[f6,f4]) ).

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

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

fof(f262,plain,
    ! [X0,X1] : ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0) = X0,
    inference(forward_demodulation,[],[f234,f1]) ).

fof(f234,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(product(multiplicative_identity,X0,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f24,f9]) ).

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

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f316375,plain,
    x_inverse_plus_y_inverse = multiply(sF0,multiplicative_identity),
    inference(backward_demodulation,[],[f303737,f316240]) ).

fof(f316240,plain,
    multiplicative_identity = add(y,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f316121,f1]) ).

fof(f316121,plain,
    multiplicative_identity = ifeq2(true,true,add(y,x_inverse_plus_y_inverse),multiplicative_identity),
    inference(superposition,[],[f189,f316100]) ).

fof(f316100,plain,
    true = sum(y,sF3,add(y,x_inverse_plus_y_inverse)),
    inference(forward_demodulation,[],[f316075,f2]) ).

fof(f316075,plain,
    true = ifeq(true,true,sum(y,sF3,add(y,x_inverse_plus_y_inverse)),true),
    inference(superposition,[],[f316025,f3]) ).

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

fof(f316025,plain,
    ! [X0] : true = ifeq(sum(y,x_inverse_plus_y_inverse,X0),true,sum(y,sF3,X0),true),
    inference(forward_demodulation,[],[f315977,f2]) ).

fof(f315977,plain,
    ! [X0] : true = ifeq(true,true,ifeq(sum(y,x_inverse_plus_y_inverse,X0),true,sum(y,sF3,X0),true),true),
    inference(superposition,[],[f15431,f157855]) ).

fof(f157855,plain,
    true = product(sF3,x_inverse_plus_y_inverse,sF3),
    inference(superposition,[],[f132,f157594]) ).

fof(f157594,plain,
    sF3 = multiply(x_inverse_plus_y_inverse,sF3),
    inference(forward_demodulation,[],[f157502,f313]) ).

fof(f313,plain,
    ! [X0] : add(X0,additive_identity) = X0,
    inference(forward_demodulation,[],[f309,f1]) ).

fof(f309,plain,
    ! [X0] : ifeq2(true,true,add(X0,additive_identity),X0) = X0,
    inference(superposition,[],[f182,f76]) ).

fof(f76,plain,
    ! [X0,X1] : true = sum(X1,X0,add(X0,X1)),
    inference(forward_demodulation,[],[f52,f2]) ).

fof(f52,plain,
    ! [X0,X1] : true = ifeq(true,true,sum(X1,X0,add(X0,X1)),true),
    inference(superposition,[],[f5,f3]) ).

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

fof(f182,plain,
    ! [X0,X1] : ifeq2(sum(additive_identity,X0,X1),true,X1,X0) = X0,
    inference(forward_demodulation,[],[f154,f1]) ).

fof(f154,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(sum(additive_identity,X0,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f23,f7]) ).

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

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f157502,plain,
    multiply(x_inverse_plus_y_inverse,sF3) = add(sF3,additive_identity),
    inference(backward_demodulation,[],[f73895,f157494]) ).

fof(f157494,plain,
    additive_identity = multiply(additive_identity,sF2),
    inference(forward_demodulation,[],[f157419,f1]) ).

fof(f157419,plain,
    multiply(additive_identity,sF2) = ifeq2(true,true,additive_identity,multiply(additive_identity,sF2)),
    inference(superposition,[],[f183,f157389]) ).

fof(f157389,plain,
    true = sum(multiply(additive_identity,sF2),additive_identity,additive_identity),
    inference(forward_demodulation,[],[f157388,f1831]) ).

fof(f1831,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[],[f1805,f1]) ).

fof(f1805,plain,
    ! [X0,X1] : multiply(X1,X0) = ifeq2(true,true,multiply(X0,X1),multiply(X1,X0)),
    inference(superposition,[],[f278,f132]) ).

fof(f278,plain,
    ! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,multiply(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f250,f1]) ).

fof(f250,plain,
    ! [X2,X0,X1] : ifeq2(product(X0,X1,X2),true,ifeq2(true,true,multiply(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f24,f4]) ).

fof(f157388,plain,
    true = sum(multiply(sF2,additive_identity),additive_identity,additive_identity),
    inference(forward_demodulation,[],[f157372,f2]) ).

fof(f157372,plain,
    true = ifeq(true,true,sum(multiply(sF2,additive_identity),additive_identity,additive_identity),true),
    inference(superposition,[],[f152561,f4]) ).

fof(f152561,plain,
    ! [X0] : true = ifeq(product(sF2,additive_identity,X0),true,sum(X0,additive_identity,additive_identity),true),
    inference(forward_demodulation,[],[f152560,f1265]) ).

fof(f1265,plain,
    additive_identity = multiply(x,sF2),
    inference(forward_demodulation,[],[f1261,f1]) ).

fof(f1261,plain,
    additive_identity = ifeq2(true,true,multiply(x,sF2),additive_identity),
    inference(superposition,[],[f268,f4]) ).

fof(f268,plain,
    ! [X0] : additive_identity = ifeq2(product(x,sF2,X0),true,X0,additive_identity),
    inference(forward_demodulation,[],[f240,f1]) ).

fof(f240,plain,
    ! [X0] : additive_identity = ifeq2(true,true,ifeq2(product(x,sF2,X0),true,X0,additive_identity),additive_identity),
    inference(superposition,[],[f24,f48]) ).

fof(f48,plain,
    true = product(x,sF2,additive_identity),
    inference(superposition,[],[f22,f32]) ).

fof(f32,plain,
    inverse(x) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

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

fof(f152560,plain,
    ! [X0] : true = ifeq(product(sF2,additive_identity,X0),true,sum(X0,multiply(x,sF2),additive_identity),true),
    inference(forward_demodulation,[],[f152559,f1831]) ).

fof(f152559,plain,
    ! [X0] : true = ifeq(product(sF2,additive_identity,X0),true,sum(X0,multiply(sF2,x),additive_identity),true),
    inference(forward_demodulation,[],[f152546,f2]) ).

fof(f152546,plain,
    ! [X0] : true = ifeq(true,true,ifeq(product(sF2,additive_identity,X0),true,sum(X0,multiply(sF2,x),additive_identity),true),true),
    inference(superposition,[],[f8161,f4]) ).

fof(f8161,plain,
    ! [X0,X1] : true = ifeq(product(sF2,x,X0),true,ifeq(product(sF2,additive_identity,X1),true,sum(X1,X0,additive_identity),true),true),
    inference(forward_demodulation,[],[f8095,f2]) ).

fof(f8095,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(product(sF2,x,X0),true,ifeq(product(sF2,additive_identity,X1),true,sum(X1,X0,additive_identity),true),true),true),
    inference(superposition,[],[f432,f45]) ).

fof(f45,plain,
    true = product(sF2,x,additive_identity),
    inference(superposition,[],[f21,f32]) ).

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

fof(f432,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X1,X0,X3),true,ifeq(product(X1,additive_identity,X4),true,sum(X4,X3,X2),true),true),true),
    inference(forward_demodulation,[],[f361,f2]) ).

fof(f361,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X1,X0,X3),true,ifeq(product(X1,additive_identity,X4),true,ifeq(true,true,sum(X4,X3,X2),true),true),true),true),
    inference(superposition,[],[f11,f7]) ).

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f183,plain,
    ! [X0,X1] : ifeq2(sum(X0,additive_identity,X1),true,X1,X0) = X0,
    inference(forward_demodulation,[],[f155,f1]) ).

fof(f155,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(sum(X0,additive_identity,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f23,f8]) ).

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

fof(f73895,plain,
    multiply(x_inverse_plus_y_inverse,sF3) = add(sF3,multiply(additive_identity,sF2)),
    inference(forward_demodulation,[],[f73894,f1831]) ).

fof(f73894,plain,
    multiply(sF3,x_inverse_plus_y_inverse) = add(sF3,multiply(additive_identity,sF2)),
    inference(forward_demodulation,[],[f73875,f1]) ).

fof(f73875,plain,
    multiply(sF3,x_inverse_plus_y_inverse) = ifeq2(true,true,add(sF3,multiply(additive_identity,sF2)),multiply(sF3,x_inverse_plus_y_inverse)),
    inference(superposition,[],[f264,f73842]) ).

fof(f73842,plain,
    true = product(sF3,x_inverse_plus_y_inverse,add(sF3,multiply(additive_identity,sF2))),
    inference(forward_demodulation,[],[f73841,f1767]) ).

fof(f1767,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(forward_demodulation,[],[f1741,f1]) ).

fof(f1741,plain,
    ! [X0,X1] : add(X1,X0) = ifeq2(true,true,add(X0,X1),add(X1,X0)),
    inference(superposition,[],[f198,f76]) ).

fof(f198,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,add(X0,X1),X2) = X2,
    inference(forward_demodulation,[],[f170,f1]) ).

fof(f170,plain,
    ! [X2,X0,X1] : ifeq2(sum(X0,X1,X2),true,ifeq2(true,true,add(X0,X1),X2),X2) = X2,
    inference(superposition,[],[f23,f3]) ).

fof(f73841,plain,
    true = product(sF3,x_inverse_plus_y_inverse,add(multiply(additive_identity,sF2),sF3)),
    inference(forward_demodulation,[],[f73811,f2]) ).

fof(f73811,plain,
    true = ifeq(true,true,product(sF3,x_inverse_plus_y_inverse,add(multiply(additive_identity,sF2),sF3)),true),
    inference(superposition,[],[f73283,f3]) ).

fof(f73283,plain,
    ! [X0] : true = ifeq(sum(multiply(additive_identity,sF2),sF3,X0),true,product(sF3,x_inverse_plus_y_inverse,X0),true),
    inference(forward_demodulation,[],[f73270,f2]) ).

fof(f73270,plain,
    ! [X0] : true = ifeq(true,true,ifeq(sum(multiply(additive_identity,sF2),sF3,X0),true,product(sF3,x_inverse_plus_y_inverse,X0),true),true),
    inference(superposition,[],[f5691,f4]) ).

fof(f5691,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,sF2,X0),true,ifeq(sum(X0,sF3,X1),true,product(sF3,x_inverse_plus_y_inverse,X1),true),true),
    inference(forward_demodulation,[],[f5670,f2]) ).

fof(f5670,plain,
    ! [X0,X1] : true = ifeq(product(additive_identity,sF2,X0),true,ifeq(sum(X0,sF3,X1),true,ifeq(true,true,product(sF3,x_inverse_plus_y_inverse,X1),true),true),true),
    inference(superposition,[],[f1379,f7]) ).

fof(f1379,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,sF2,X1),true,ifeq(sum(X1,sF3,X2),true,ifeq(sum(X0,sF3,X3),true,product(X3,x_inverse_plus_y_inverse,X2),true),true),true),
    inference(forward_demodulation,[],[f1309,f2]) ).

fof(f1309,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,sF2,X1),true,ifeq(sum(X1,sF3,X2),true,ifeq(true,true,ifeq(sum(X0,sF3,X3),true,product(X3,x_inverse_plus_y_inverse,X2),true),true),true),true),
    inference(superposition,[],[f17,f37]) ).

fof(f37,plain,
    true = sum(sF2,sF3,x_inverse_plus_y_inverse),
    inference(backward_demodulation,[],[f34,f35]) ).

fof(f35,plain,
    true = sF4,
    inference(definition_folding,[],[f26,f34,f33,f32]) ).

fof(f33,plain,
    inverse(y) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f26,axiom,
    true = sum(inverse(x),inverse(y),x_inverse_plus_y_inverse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f34,plain,
    sum(sF2,sF3,x_inverse_plus_y_inverse) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f264,plain,
    ! [X2,X0,X1] : multiply(X0,X1) = ifeq2(product(X0,X1,X2),true,X2,multiply(X0,X1)),
    inference(forward_demodulation,[],[f236,f1]) ).

fof(f236,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(f15431,plain,
    ! [X2,X0,X1] : true = ifeq(product(sF3,X0,X1),true,ifeq(sum(y,X0,X2),true,sum(y,X1,X2),true),true),
    inference(forward_demodulation,[],[f15362,f2]) ).

fof(f15362,plain,
    ! [X2,X0,X1] : true = ifeq(product(sF3,X0,X1),true,ifeq(sum(y,X0,X2),true,ifeq(true,true,sum(y,X1,X2),true),true),true),
    inference(superposition,[],[f1181,f43]) ).

fof(f43,plain,
    true = sum(y,sF3,multiplicative_identity),
    inference(superposition,[],[f20,f33]) ).

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

fof(f1181,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,X0),true,ifeq(sum(X4,X1,multiplicative_identity),true,sum(X4,X3,X0),true),true),true),
    inference(forward_demodulation,[],[f1110,f2]) ).

fof(f1110,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(product(X1,X2,X3),true,ifeq(sum(X4,X2,X0),true,ifeq(sum(X4,X1,multiplicative_identity),true,sum(X4,X3,X0),true),true),true),true),
    inference(superposition,[],[f16,f9]) ).

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f189,plain,
    ! [X0] : multiplicative_identity = ifeq2(sum(y,sF3,X0),true,X0,multiplicative_identity),
    inference(forward_demodulation,[],[f161,f1]) ).

fof(f161,plain,
    ! [X0] : multiplicative_identity = ifeq2(true,true,ifeq2(sum(y,sF3,X0),true,X0,multiplicative_identity),multiplicative_identity),
    inference(superposition,[],[f23,f43]) ).

fof(f303737,plain,
    x_inverse_plus_y_inverse = multiply(sF0,add(y,x_inverse_plus_y_inverse)),
    inference(backward_demodulation,[],[f285464,f303724]) ).

fof(f303724,plain,
    add(x_times_y,x_inverse_plus_y_inverse) = add(y,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f303647,f1]) ).

fof(f303647,plain,
    add(x_times_y,x_inverse_plus_y_inverse) = ifeq2(true,true,add(y,x_inverse_plus_y_inverse),add(x_times_y,x_inverse_plus_y_inverse)),
    inference(superposition,[],[f184,f303328]) ).

fof(f303328,plain,
    true = sum(x_times_y,x_inverse_plus_y_inverse,add(y,x_inverse_plus_y_inverse)),
    inference(forward_demodulation,[],[f303229,f2]) ).

fof(f303229,plain,
    true = ifeq(true,true,sum(x_times_y,x_inverse_plus_y_inverse,add(y,x_inverse_plus_y_inverse)),true),
    inference(superposition,[],[f76624,f303187]) ).

fof(f303187,plain,
    true = sum(x,x_inverse_plus_y_inverse,multiplicative_identity),
    inference(superposition,[],[f3,f303022]) ).

fof(f303022,plain,
    multiplicative_identity = add(x,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f303021,f802]) ).

fof(f802,plain,
    multiplicative_identity = add(x,sF2),
    inference(forward_demodulation,[],[f798,f1]) ).

fof(f798,plain,
    multiplicative_identity = ifeq2(true,true,add(x,sF2),multiplicative_identity),
    inference(superposition,[],[f188,f3]) ).

fof(f188,plain,
    ! [X0] : multiplicative_identity = ifeq2(sum(x,sF2,X0),true,X0,multiplicative_identity),
    inference(forward_demodulation,[],[f160,f1]) ).

fof(f160,plain,
    ! [X0] : multiplicative_identity = ifeq2(true,true,ifeq2(sum(x,sF2,X0),true,X0,multiplicative_identity),multiplicative_identity),
    inference(superposition,[],[f23,f42]) ).

fof(f42,plain,
    true = sum(x,sF2,multiplicative_identity),
    inference(superposition,[],[f20,f32]) ).

fof(f303021,plain,
    add(x,sF2) = add(x,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f303020,f1767]) ).

fof(f303020,plain,
    add(sF2,x) = add(x,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f303019,f221597]) ).

fof(f221597,plain,
    ! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
    inference(forward_demodulation,[],[f221596,f1831]) ).

fof(f221596,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = X0,
    inference(forward_demodulation,[],[f220647,f1]) ).

fof(f220647,plain,
    ! [X0,X1] : multiply(add(X0,X1),X0) = ifeq2(true,true,X0,multiply(add(X0,X1),X0)),
    inference(superposition,[],[f264,f216213]) ).

fof(f216213,plain,
    ! [X0,X1] : true = product(add(X0,X1),X0,X0),
    inference(forward_demodulation,[],[f216040,f2]) ).

fof(f216040,plain,
    ! [X0,X1] : true = ifeq(true,true,product(add(X0,X1),X0,X0),true),
    inference(superposition,[],[f209821,f3]) ).

fof(f209821,plain,
    ! [X2,X0,X1] : true = ifeq(sum(X0,X1,X2),true,product(X2,X0,X0),true),
    inference(forward_demodulation,[],[f209813,f2]) ).

fof(f209813,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,ifeq(sum(X0,X1,X2),true,product(X2,X0,X0),true),true),
    inference(backward_demodulation,[],[f14424,f209407]) ).

fof(f209407,plain,
    ! [X0] : true = product(X0,additive_identity,additive_identity),
    inference(superposition,[],[f4,f208561]) ).

fof(f208561,plain,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    inference(forward_demodulation,[],[f208296,f1]) ).

fof(f208296,plain,
    ! [X0] : multiply(X0,additive_identity) = ifeq2(true,true,additive_identity,multiply(X0,additive_identity)),
    inference(superposition,[],[f280,f208264]) ).

fof(f208264,plain,
    ! [X0] : true = product(X0,inverse(X0),multiply(X0,additive_identity)),
    inference(forward_demodulation,[],[f208229,f2]) ).

fof(f208229,plain,
    ! [X0] : true = ifeq(true,true,product(X0,inverse(X0),multiply(X0,additive_identity)),true),
    inference(superposition,[],[f178429,f4]) ).

fof(f178429,plain,
    ! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,product(X0,inverse(X0),X1),true),
    inference(forward_demodulation,[],[f178283,f2]) ).

fof(f178283,plain,
    ! [X0,X1] : true = ifeq(product(X0,additive_identity,X1),true,ifeq(true,true,product(X0,inverse(X0),X1),true),true),
    inference(superposition,[],[f9343,f22]) ).

fof(f9343,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,[],[f9275,f2]) ).

fof(f9275,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,[],[f584,f8]) ).

fof(f584,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,[],[f514,f2]) ).

fof(f514,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(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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f280,plain,
    ! [X0,X1] : ifeq2(product(X0,inverse(X0),X1),true,additive_identity,X1) = X1,
    inference(forward_demodulation,[],[f252,f1]) ).

fof(f252,plain,
    ! [X0,X1] : ifeq2(product(X0,inverse(X0),X1),true,ifeq2(true,true,additive_identity,X1),X1) = X1,
    inference(superposition,[],[f24,f22]) ).

fof(f14424,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,[],[f14356,f2]) ).

fof(f14356,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,[],[f1037,f8]) ).

fof(f1037,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,[],[f967,f2]) ).

fof(f967,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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f303019,plain,
    add(x,x_inverse_plus_y_inverse) = add(sF2,multiply(x,add(x,x_inverse_plus_y_inverse))),
    inference(forward_demodulation,[],[f303018,f1831]) ).

fof(f303018,plain,
    add(x,x_inverse_plus_y_inverse) = add(sF2,multiply(add(x,x_inverse_plus_y_inverse),x)),
    inference(forward_demodulation,[],[f302973,f1767]) ).

fof(f302973,plain,
    add(x,x_inverse_plus_y_inverse) = add(multiply(add(x,x_inverse_plus_y_inverse),x),sF2),
    inference(superposition,[],[f302774,f180578]) ).

fof(f180578,plain,
    sF2 = multiply(sF2,add(x,x_inverse_plus_y_inverse)),
    inference(forward_demodulation,[],[f180515,f1]) ).

fof(f180515,plain,
    multiply(sF2,add(x,x_inverse_plus_y_inverse)) = ifeq2(true,true,sF2,multiply(sF2,add(x,x_inverse_plus_y_inverse))),
    inference(superposition,[],[f264,f180453]) ).

fof(f180453,plain,
    true = product(sF2,add(x,x_inverse_plus_y_inverse),sF2),
    inference(forward_demodulation,[],[f180427,f2]) ).

fof(f180427,plain,
    true = ifeq(true,true,product(sF2,add(x,x_inverse_plus_y_inverse),sF2),true),
    inference(superposition,[],[f177448,f3]) ).

fof(f177448,plain,
    ! [X0] : true = ifeq(sum(x,x_inverse_plus_y_inverse,X0),true,product(sF2,X0,sF2),true),
    inference(forward_demodulation,[],[f177412,f2]) ).

fof(f177412,plain,
    ! [X0] : true = ifeq(true,true,ifeq(sum(x,x_inverse_plus_y_inverse,X0),true,product(sF2,X0,sF2),true),true),
    inference(superposition,[],[f9338,f162189]) ).

fof(f162189,plain,
    true = product(sF2,x_inverse_plus_y_inverse,sF2),
    inference(forward_demodulation,[],[f162188,f2]) ).

fof(f162188,plain,
    true = ifeq(true,true,product(sF2,x_inverse_plus_y_inverse,sF2),true),
    inference(backward_demodulation,[],[f63508,f162000]) ).

fof(f162000,plain,
    true = product(additive_identity,sF3,additive_identity),
    inference(backward_demodulation,[],[f159867,f161874]) ).

fof(f161874,plain,
    additive_identity = multiply(additive_identity,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f161798,f1]) ).

fof(f161798,plain,
    multiply(additive_identity,x_inverse_plus_y_inverse) = ifeq2(true,true,additive_identity,multiply(additive_identity,x_inverse_plus_y_inverse)),
    inference(superposition,[],[f183,f161757]) ).

fof(f161757,plain,
    true = sum(multiply(additive_identity,x_inverse_plus_y_inverse),additive_identity,additive_identity),
    inference(forward_demodulation,[],[f161741,f2]) ).

fof(f161741,plain,
    true = ifeq(true,true,sum(multiply(additive_identity,x_inverse_plus_y_inverse),additive_identity,additive_identity),true),
    inference(superposition,[],[f153240,f159868]) ).

fof(f159868,plain,
    true = product(sF3,additive_identity,multiply(additive_identity,x_inverse_plus_y_inverse)),
    inference(superposition,[],[f132,f159718]) ).

fof(f159718,plain,
    multiply(additive_identity,x_inverse_plus_y_inverse) = multiply(additive_identity,sF3),
    inference(forward_demodulation,[],[f159677,f1]) ).

fof(f159677,plain,
    multiply(additive_identity,x_inverse_plus_y_inverse) = ifeq2(true,true,multiply(additive_identity,sF3),multiply(additive_identity,x_inverse_plus_y_inverse)),
    inference(superposition,[],[f264,f158795]) ).

fof(f158795,plain,
    true = product(additive_identity,x_inverse_plus_y_inverse,multiply(additive_identity,sF3)),
    inference(forward_demodulation,[],[f158634,f2]) ).

fof(f158634,plain,
    true = ifeq(true,true,product(additive_identity,x_inverse_plus_y_inverse,multiply(additive_identity,sF3)),true),
    inference(superposition,[],[f27937,f157902]) ).

fof(f157902,plain,
    true = product(additive_identity,sF2,additive_identity),
    inference(superposition,[],[f4,f157494]) ).

fof(f27937,plain,
    ! [X0] : true = ifeq(product(X0,sF2,additive_identity),true,product(X0,x_inverse_plus_y_inverse,multiply(X0,sF3)),true),
    inference(forward_demodulation,[],[f27921,f2]) ).

fof(f27921,plain,
    ! [X0] : true = ifeq(true,true,ifeq(product(X0,sF2,additive_identity),true,product(X0,x_inverse_plus_y_inverse,multiply(X0,sF3)),true),true),
    inference(superposition,[],[f3007,f4]) ).

fof(f3007,plain,
    ! [X0,X1] : true = ifeq(product(X1,sF3,X0),true,ifeq(product(X1,sF2,additive_identity),true,product(X1,x_inverse_plus_y_inverse,X0),true),true),
    inference(forward_demodulation,[],[f2979,f2]) ).

fof(f2979,plain,
    ! [X0,X1] : true = ifeq(product(X1,sF3,X0),true,ifeq(product(X1,sF2,additive_identity),true,ifeq(true,true,product(X1,x_inverse_plus_y_inverse,X0),true),true),true),
    inference(superposition,[],[f610,f7]) ).

fof(f610,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,sF3,X1),true,ifeq(product(X0,sF2,X2),true,ifeq(sum(X2,X1,X3),true,product(X0,x_inverse_plus_y_inverse,X3),true),true),true),
    inference(forward_demodulation,[],[f540,f2]) ).

fof(f540,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,sF3,X1),true,ifeq(product(X0,sF2,X2),true,ifeq(sum(X2,X1,X3),true,ifeq(true,true,product(X0,x_inverse_plus_y_inverse,X3),true),true),true),true),
    inference(superposition,[],[f12,f37]) ).

fof(f153240,plain,
    ! [X0] : true = ifeq(product(sF3,additive_identity,X0),true,sum(X0,additive_identity,additive_identity),true),
    inference(forward_demodulation,[],[f153239,f1401]) ).

fof(f1401,plain,
    additive_identity = multiply(y,sF3),
    inference(forward_demodulation,[],[f1397,f1]) ).

fof(f1397,plain,
    additive_identity = ifeq2(true,true,multiply(y,sF3),additive_identity),
    inference(superposition,[],[f269,f4]) ).

fof(f269,plain,
    ! [X0] : additive_identity = ifeq2(product(y,sF3,X0),true,X0,additive_identity),
    inference(forward_demodulation,[],[f241,f1]) ).

fof(f241,plain,
    ! [X0] : additive_identity = ifeq2(true,true,ifeq2(product(y,sF3,X0),true,X0,additive_identity),additive_identity),
    inference(superposition,[],[f24,f49]) ).

fof(f49,plain,
    true = product(y,sF3,additive_identity),
    inference(superposition,[],[f22,f33]) ).

fof(f153239,plain,
    ! [X0] : true = ifeq(product(sF3,additive_identity,X0),true,sum(X0,multiply(y,sF3),additive_identity),true),
    inference(forward_demodulation,[],[f153238,f1831]) ).

fof(f153238,plain,
    ! [X0] : true = ifeq(product(sF3,additive_identity,X0),true,sum(X0,multiply(sF3,y),additive_identity),true),
    inference(forward_demodulation,[],[f153225,f2]) ).

fof(f153225,plain,
    ! [X0] : true = ifeq(true,true,ifeq(product(sF3,additive_identity,X0),true,sum(X0,multiply(sF3,y),additive_identity),true),true),
    inference(superposition,[],[f8162,f4]) ).

fof(f8162,plain,
    ! [X0,X1] : true = ifeq(product(sF3,y,X0),true,ifeq(product(sF3,additive_identity,X1),true,sum(X1,X0,additive_identity),true),true),
    inference(forward_demodulation,[],[f8096,f2]) ).

fof(f8096,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(product(sF3,y,X0),true,ifeq(product(sF3,additive_identity,X1),true,sum(X1,X0,additive_identity),true),true),true),
    inference(superposition,[],[f432,f46]) ).

fof(f46,plain,
    true = product(sF3,y,additive_identity),
    inference(superposition,[],[f21,f33]) ).

fof(f159867,plain,
    true = product(additive_identity,sF3,multiply(additive_identity,x_inverse_plus_y_inverse)),
    inference(superposition,[],[f4,f159718]) ).

fof(f63508,plain,
    true = ifeq(product(additive_identity,sF3,additive_identity),true,product(sF2,x_inverse_plus_y_inverse,sF2),true),
    inference(forward_demodulation,[],[f63497,f2]) ).

fof(f63497,plain,
    true = ifeq(product(additive_identity,sF3,additive_identity),true,ifeq(true,true,product(sF2,x_inverse_plus_y_inverse,sF2),true),true),
    inference(superposition,[],[f4422,f8]) ).

fof(f4422,plain,
    ! [X0,X1] : true = ifeq(product(X0,sF3,additive_identity),true,ifeq(sum(sF2,X0,X1),true,product(X1,x_inverse_plus_y_inverse,sF2),true),true),
    inference(forward_demodulation,[],[f4401,f2]) ).

fof(f4401,plain,
    ! [X0,X1] : true = ifeq(product(X0,sF3,additive_identity),true,ifeq(true,true,ifeq(sum(sF2,X0,X1),true,product(X1,x_inverse_plus_y_inverse,sF2),true),true),true),
    inference(superposition,[],[f1062,f8]) ).

fof(f1062,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,sF3,X1),true,ifeq(sum(sF2,X1,X2),true,ifeq(sum(sF2,X0,X3),true,product(X3,x_inverse_plus_y_inverse,X2),true),true),true),
    inference(forward_demodulation,[],[f992,f2]) ).

fof(f992,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,sF3,X1),true,ifeq(sum(sF2,X1,X2),true,ifeq(true,true,ifeq(sum(sF2,X0,X3),true,product(X3,x_inverse_plus_y_inverse,X2),true),true),true),true),
    inference(superposition,[],[f15,f37]) ).

fof(f9338,plain,
    ! [X2,X0,X1] : true = ifeq(product(sF2,X0,X1),true,ifeq(sum(x,X0,X2),true,product(sF2,X2,X1),true),true),
    inference(forward_demodulation,[],[f9270,f2]) ).

fof(f9270,plain,
    ! [X2,X0,X1] : true = ifeq(product(sF2,X0,X1),true,ifeq(true,true,ifeq(sum(x,X0,X2),true,product(sF2,X2,X1),true),true),true),
    inference(superposition,[],[f584,f45]) ).

fof(f302774,plain,
    ! [X0] : add(multiply(X0,x),multiply(sF2,X0)) = X0,
    inference(superposition,[],[f302758,f1831]) ).

fof(f302758,plain,
    ! [X0] : add(multiply(X0,x),multiply(X0,sF2)) = X0,
    inference(forward_demodulation,[],[f302731,f1]) ).

fof(f302731,plain,
    ! [X0] : add(multiply(X0,x),multiply(X0,sF2)) = ifeq2(true,true,X0,add(multiply(X0,x),multiply(X0,sF2))),
    inference(superposition,[],[f184,f302687]) ).

fof(f302687,plain,
    ! [X0] : true = sum(multiply(X0,x),multiply(X0,sF2),X0),
    inference(forward_demodulation,[],[f302646,f2]) ).

fof(f302646,plain,
    ! [X0] : true = ifeq(true,true,sum(multiply(X0,x),multiply(X0,sF2),X0),true),
    inference(superposition,[],[f116085,f4]) ).

fof(f116085,plain,
    ! [X0,X1] : true = ifeq(product(X0,x,X1),true,sum(X1,multiply(X0,sF2),X0),true),
    inference(forward_demodulation,[],[f116013,f2]) ).

fof(f116013,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(product(X0,x,X1),true,sum(X1,multiply(X0,sF2),X0),true),true),
    inference(superposition,[],[f7173,f4]) ).

fof(f7173,plain,
    ! [X2,X0,X1] : true = ifeq(product(X0,sF2,X1),true,ifeq(product(X0,x,X2),true,sum(X2,X1,X0),true),true),
    inference(forward_demodulation,[],[f7088,f2]) ).

fof(f7088,plain,
    ! [X2,X0,X1] : true = ifeq(product(X0,sF2,X1),true,ifeq(product(X0,x,X2),true,ifeq(true,true,sum(X2,X1,X0),true),true),true),
    inference(superposition,[],[f391,f42]) ).

fof(f391,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X3,X1,multiplicative_identity),true,sum(X4,X2,X0),true),true),true),
    inference(forward_demodulation,[],[f320,f2]) ).

fof(f320,plain,
    ! [X2,X3,X0,X1,X4] : true = ifeq(true,true,ifeq(product(X0,X1,X2),true,ifeq(product(X0,X3,X4),true,ifeq(sum(X3,X1,multiplicative_identity),true,sum(X4,X2,X0),true),true),true),true),
    inference(superposition,[],[f11,f10]) ).

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

fof(f76624,plain,
    ! [X0] : true = ifeq(sum(x,X0,multiplicative_identity),true,sum(x_times_y,X0,add(y,X0)),true),
    inference(forward_demodulation,[],[f76602,f2]) ).

fof(f76602,plain,
    ! [X0] : true = ifeq(true,true,ifeq(sum(x,X0,multiplicative_identity),true,sum(x_times_y,X0,add(y,X0)),true),true),
    inference(superposition,[],[f6298,f3]) ).

fof(f6298,plain,
    ! [X0,X1] : true = ifeq(sum(y,X1,X0),true,ifeq(sum(x,X1,multiplicative_identity),true,sum(x_times_y,X1,X0),true),true),
    inference(forward_demodulation,[],[f6262,f2]) ).

fof(f6262,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(sum(y,X1,X0),true,ifeq(sum(x,X1,multiplicative_identity),true,sum(x_times_y,X1,X0),true),true),true),
    inference(superposition,[],[f1512,f9]) ).

fof(f1512,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(y,X3,X1),true,ifeq(sum(x,X3,X0),true,sum(x_times_y,X3,X2),true),true),true),
    inference(forward_demodulation,[],[f1441,f2]) ).

fof(f1441,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(y,X3,X1),true,ifeq(sum(x,X3,X0),true,sum(x_times_y,X3,X2),true),true),true),true),
    inference(superposition,[],[f18,f36]) ).

fof(f36,plain,
    true = product(x,y,x_times_y),
    inference(backward_demodulation,[],[f30,f31]) ).

fof(f31,plain,
    true = sF1,
    inference(definition_folding,[],[f25,f30]) ).

fof(f25,axiom,
    true = product(x,y,x_times_y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f30,plain,
    product(x,y,x_times_y) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

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/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f184,plain,
    ! [X2,X0,X1] : add(X0,X1) = ifeq2(sum(X0,X1,X2),true,X2,add(X0,X1)),
    inference(forward_demodulation,[],[f156,f1]) ).

fof(f156,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(f285464,plain,
    x_inverse_plus_y_inverse = multiply(sF0,add(x_times_y,x_inverse_plus_y_inverse)),
    inference(forward_demodulation,[],[f285423,f1]) ).

fof(f285423,plain,
    multiply(sF0,add(x_times_y,x_inverse_plus_y_inverse)) = ifeq2(true,true,x_inverse_plus_y_inverse,multiply(sF0,add(x_times_y,x_inverse_plus_y_inverse))),
    inference(superposition,[],[f264,f285369]) ).

fof(f285369,plain,
    true = product(sF0,add(x_times_y,x_inverse_plus_y_inverse),x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f285342,f2]) ).

fof(f285342,plain,
    true = ifeq(true,true,product(sF0,add(x_times_y,x_inverse_plus_y_inverse),x_inverse_plus_y_inverse),true),
    inference(superposition,[],[f270251,f3]) ).

fof(f270251,plain,
    ! [X0] : true = ifeq(sum(x_times_y,x_inverse_plus_y_inverse,X0),true,product(sF0,X0,x_inverse_plus_y_inverse),true),
    inference(forward_demodulation,[],[f270170,f2]) ).

fof(f270170,plain,
    ! [X0] : true = ifeq(true,true,ifeq(sum(x_times_y,x_inverse_plus_y_inverse,X0),true,product(sF0,X0,x_inverse_plus_y_inverse),true),true),
    inference(superposition,[],[f9337,f269090]) ).

fof(f269090,plain,
    true = product(sF0,x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),
    inference(forward_demodulation,[],[f269089,f2]) ).

fof(f269089,plain,
    true = ifeq(true,true,product(sF0,x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),
    inference(backward_demodulation,[],[f261238,f269061]) ).

fof(f269061,plain,
    true = product(sF0,sF2,sF2),
    inference(superposition,[],[f4,f268930]) ).

fof(f268930,plain,
    sF2 = multiply(sF0,sF2),
    inference(forward_demodulation,[],[f268836,f1]) ).

fof(f268836,plain,
    multiply(sF0,sF2) = ifeq2(true,true,sF2,multiply(sF0,sF2)),
    inference(superposition,[],[f182,f268823]) ).

fof(f268823,plain,
    true = sum(additive_identity,multiply(sF0,sF2),sF2),
    inference(forward_demodulation,[],[f268822,f1831]) ).

fof(f268822,plain,
    true = sum(additive_identity,multiply(sF2,sF0),sF2),
    inference(forward_demodulation,[],[f268811,f2]) ).

fof(f268811,plain,
    true = ifeq(true,true,sum(additive_identity,multiply(sF2,sF0),sF2),true),
    inference(superposition,[],[f231693,f4]) ).

fof(f231693,plain,
    ! [X0] : true = ifeq(product(sF2,sF0,X0),true,sum(additive_identity,X0,sF2),true),
    inference(forward_demodulation,[],[f231607,f2]) ).

fof(f231607,plain,
    ! [X0] : true = ifeq(product(sF2,sF0,X0),true,ifeq(true,true,sum(additive_identity,X0,sF2),true),true),
    inference(superposition,[],[f7165,f231246]) ).

fof(f231246,plain,
    true = sum(x,sF0,multiplicative_identity),
    inference(superposition,[],[f3,f231024]) ).

fof(f231024,plain,
    multiplicative_identity = add(x,sF0),
    inference(forward_demodulation,[],[f231023,f220762]) ).

fof(f220762,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(forward_demodulation,[],[f220483,f1]) ).

fof(f220483,plain,
    ! [X0] : add(multiplicative_identity,X0) = ifeq2(true,true,multiplicative_identity,add(multiplicative_identity,X0)),
    inference(superposition,[],[f263,f216213]) ).

fof(f263,plain,
    ! [X0,X1] : ifeq2(product(X0,multiplicative_identity,X1),true,X1,X0) = X0,
    inference(forward_demodulation,[],[f235,f1]) ).

fof(f235,plain,
    ! [X0,X1] : ifeq2(true,true,ifeq2(product(X0,multiplicative_identity,X1),true,X1,X0),X0) = X0,
    inference(superposition,[],[f24,f10]) ).

fof(f231023,plain,
    add(x,sF0) = add(multiplicative_identity,add(x,sF0)),
    inference(forward_demodulation,[],[f230927,f1767]) ).

fof(f230927,plain,
    add(x,sF0) = add(add(x,sF0),multiplicative_identity),
    inference(superposition,[],[f230811,f61229]) ).

fof(f61229,plain,
    multiplicative_identity = multiply(add(x,sF0),add(y,sF0)),
    inference(forward_demodulation,[],[f61213,f1]) ).

fof(f61213,plain,
    multiply(add(x,sF0),add(y,sF0)) = ifeq2(true,true,multiplicative_identity,multiply(add(x,sF0),add(y,sF0))),
    inference(superposition,[],[f264,f61182]) ).

fof(f61182,plain,
    true = product(add(x,sF0),add(y,sF0),multiplicative_identity),
    inference(forward_demodulation,[],[f61181,f1767]) ).

fof(f61181,plain,
    true = product(add(sF0,x),add(y,sF0),multiplicative_identity),
    inference(forward_demodulation,[],[f61150,f2]) ).

fof(f61150,plain,
    true = ifeq(true,true,product(add(sF0,x),add(y,sF0),multiplicative_identity),true),
    inference(superposition,[],[f61140,f3]) ).

fof(f61140,plain,
    ! [X0] : true = ifeq(sum(sF0,x,X0),true,product(X0,add(y,sF0),multiplicative_identity),true),
    inference(forward_demodulation,[],[f61139,f1767]) ).

fof(f61139,plain,
    ! [X0] : true = ifeq(sum(sF0,x,X0),true,product(X0,add(sF0,y),multiplicative_identity),true),
    inference(forward_demodulation,[],[f61123,f2]) ).

fof(f61123,plain,
    ! [X0] : true = ifeq(true,true,ifeq(sum(sF0,x,X0),true,product(X0,add(sF0,y),multiplicative_identity),true),true),
    inference(superposition,[],[f4158,f3]) ).

fof(f4158,plain,
    ! [X0,X1] : true = ifeq(sum(sF0,y,X0),true,ifeq(sum(sF0,x,X1),true,product(X1,X0,multiplicative_identity),true),true),
    inference(forward_demodulation,[],[f4157,f28]) ).

fof(f4157,plain,
    ! [X0,X1] : true = ifeq(sum(inverse(x_times_y),y,X0),true,ifeq(sum(inverse(x_times_y),x,X1),true,product(X1,X0,multiplicative_identity),true),true),
    inference(forward_demodulation,[],[f4126,f2]) ).

fof(f4126,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(sum(inverse(x_times_y),y,X0),true,ifeq(sum(inverse(x_times_y),x,X1),true,product(X1,X0,multiplicative_identity),true),true),true),
    inference(superposition,[],[f1034,f19]) ).

fof(f19,axiom,
    ! [X3] : true = sum(inverse(X3),X3,multiplicative_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1034,plain,
    ! [X2,X3,X0,X1] : true = ifeq(sum(X0,x_times_y,X1),true,ifeq(sum(X0,y,X2),true,ifeq(sum(X0,x,X3),true,product(X3,X2,X1),true),true),true),
    inference(forward_demodulation,[],[f964,f2]) ).

fof(f964,plain,
    ! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(sum(X0,x_times_y,X1),true,ifeq(sum(X0,y,X2),true,ifeq(sum(X0,x,X3),true,product(X3,X2,X1),true),true),true),true),
    inference(superposition,[],[f15,f36]) ).

fof(f230811,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
    inference(forward_demodulation,[],[f230532,f1]) ).

fof(f230532,plain,
    ! [X0,X1] : add(X0,multiply(X0,X1)) = ifeq2(true,true,X0,add(X0,multiply(X0,X1))),
    inference(superposition,[],[f184,f221845]) ).

fof(f221845,plain,
    ! [X0,X1] : true = sum(X0,multiply(X0,X1),X0),
    inference(forward_demodulation,[],[f221798,f2]) ).

fof(f221798,plain,
    ! [X0,X1] : true = ifeq(true,true,sum(X0,multiply(X0,X1),X0),true),
    inference(backward_demodulation,[],[f115543,f221692]) ).

fof(f221692,plain,
    ! [X0] : true = sum(multiplicative_identity,X0,multiplicative_identity),
    inference(superposition,[],[f3,f220762]) ).

fof(f115543,plain,
    ! [X0,X1] : true = ifeq(sum(multiplicative_identity,X1,multiplicative_identity),true,sum(X0,multiply(X0,X1),X0),true),
    inference(forward_demodulation,[],[f115458,f2]) ).

fof(f115458,plain,
    ! [X0,X1] : true = ifeq(true,true,ifeq(sum(multiplicative_identity,X1,multiplicative_identity),true,sum(X0,multiply(X0,X1),X0),true),true),
    inference(superposition,[],[f7152,f4]) ).

fof(f7152,plain,
    ! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(sum(multiplicative_identity,X1,multiplicative_identity),true,sum(X0,X2,X0),true),true),
    inference(forward_demodulation,[],[f7067,f2]) ).

fof(f7067,plain,
    ! [X2,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(sum(multiplicative_identity,X1,multiplicative_identity),true,sum(X0,X2,X0),true),true),true),
    inference(superposition,[],[f391,f10]) ).

fof(f7165,plain,
    ! [X0,X1] : true = ifeq(product(sF2,X0,X1),true,ifeq(sum(x,X0,multiplicative_identity),true,sum(additive_identity,X1,sF2),true),true),
    inference(forward_demodulation,[],[f7080,f2]) ).

fof(f7080,plain,
    ! [X0,X1] : true = ifeq(product(sF2,X0,X1),true,ifeq(true,true,ifeq(sum(x,X0,multiplicative_identity),true,sum(additive_identity,X1,sF2),true),true),true),
    inference(superposition,[],[f391,f45]) ).

fof(f261238,plain,
    true = ifeq(product(sF0,sF2,sF2),true,product(sF0,x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),
    inference(superposition,[],[f72396,f261216]) ).

fof(f261216,plain,
    sF0 = add(sF0,sF3),
    inference(superposition,[],[f230811,f261085]) ).

fof(f261085,plain,
    sF3 = multiply(sF0,sF3),
    inference(forward_demodulation,[],[f260996,f1]) ).

fof(f260996,plain,
    multiply(sF0,sF3) = ifeq2(true,true,sF3,multiply(sF0,sF3)),
    inference(superposition,[],[f182,f260984]) ).

fof(f260984,plain,
    true = sum(additive_identity,multiply(sF0,sF3),sF3),
    inference(forward_demodulation,[],[f260983,f1831]) ).

fof(f260983,plain,
    true = sum(additive_identity,multiply(sF3,sF0),sF3),
    inference(forward_demodulation,[],[f260973,f2]) ).

fof(f260973,plain,
    true = ifeq(true,true,sum(additive_identity,multiply(sF3,sF0),sF3),true),
    inference(superposition,[],[f231349,f4]) ).

fof(f231349,plain,
    ! [X0] : true = ifeq(product(sF3,sF0,X0),true,sum(additive_identity,X0,sF3),true),
    inference(forward_demodulation,[],[f231263,f2]) ).

fof(f231263,plain,
    ! [X0] : true = ifeq(product(sF3,sF0,X0),true,ifeq(true,true,sum(additive_identity,X0,sF3),true),true),
    inference(superposition,[],[f7166,f231078]) ).

fof(f231078,plain,
    true = sum(y,sF0,multiplicative_identity),
    inference(superposition,[],[f3,f231040]) ).

fof(f231040,plain,
    multiplicative_identity = add(y,sF0),
    inference(forward_demodulation,[],[f231030,f483]) ).

fof(f483,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(forward_demodulation,[],[f479,f1]) ).

fof(f479,plain,
    ! [X0] : ifeq2(true,true,multiply(multiplicative_identity,X0),X0) = X0,
    inference(superposition,[],[f262,f4]) ).

fof(f231030,plain,
    multiplicative_identity = multiply(multiplicative_identity,add(y,sF0)),
    inference(backward_demodulation,[],[f61229,f231024]) ).

fof(f7166,plain,
    ! [X0,X1] : true = ifeq(product(sF3,X0,X1),true,ifeq(sum(y,X0,multiplicative_identity),true,sum(additive_identity,X1,sF3),true),true),
    inference(forward_demodulation,[],[f7081,f2]) ).

fof(f7081,plain,
    ! [X0,X1] : true = ifeq(product(sF3,X0,X1),true,ifeq(true,true,ifeq(sum(y,X0,multiplicative_identity),true,sum(additive_identity,X1,sF3),true),true),true),
    inference(superposition,[],[f391,f46]) ).

fof(f72396,plain,
    ! [X0] : true = ifeq(product(X0,sF2,sF2),true,product(add(X0,sF3),x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),
    inference(forward_demodulation,[],[f72383,f2]) ).

fof(f72383,plain,
    ! [X0] : true = ifeq(product(X0,sF2,sF2),true,ifeq(true,true,product(add(X0,sF3),x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),true),
    inference(superposition,[],[f5597,f3]) ).

fof(f5597,plain,
    ! [X0,X1] : true = ifeq(product(X0,sF2,sF2),true,ifeq(sum(X0,sF3,X1),true,product(X1,x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),true),
    inference(forward_demodulation,[],[f5581,f2]) ).

fof(f5581,plain,
    ! [X0,X1] : true = ifeq(product(X0,sF2,sF2),true,ifeq(true,true,ifeq(sum(X0,sF3,X1),true,product(X1,x_inverse_plus_y_inverse,x_inverse_plus_y_inverse),true),true),true),
    inference(superposition,[],[f1365,f37]) ).

fof(f1365,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,sF2),true,ifeq(sum(X1,sF3,X2),true,ifeq(sum(X0,sF3,X3),true,product(X3,X2,x_inverse_plus_y_inverse),true),true),true),
    inference(forward_demodulation,[],[f1295,f2]) ).

fof(f1295,plain,
    ! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,sF2),true,ifeq(true,true,ifeq(sum(X1,sF3,X2),true,ifeq(sum(X0,sF3,X3),true,product(X3,X2,x_inverse_plus_y_inverse),true),true),true),true),
    inference(superposition,[],[f17,f37]) ).

fof(f9337,plain,
    ! [X2,X0,X1] : true = ifeq(product(sF0,X0,X1),true,ifeq(sum(x_times_y,X0,X2),true,product(sF0,X2,X1),true),true),
    inference(forward_demodulation,[],[f9269,f2]) ).

fof(f9269,plain,
    ! [X2,X0,X1] : true = ifeq(product(sF0,X0,X1),true,ifeq(true,true,ifeq(sum(x_times_y,X0,X2),true,product(sF0,X2,X1),true),true),true),
    inference(superposition,[],[f584,f44]) ).

fof(f44,plain,
    true = product(sF0,x_times_y,additive_identity),
    inference(superposition,[],[f21,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : BOO015-10 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Jun 18 19:06:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.20/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.20/0.35  Running first-order theorem proving
% 0.20/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20002)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=150:ins=1:dpc=on:rawr=on_0 on theBenchmark for (2999ds/150Mi)
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20003)lrs+10_1:8_drc=encompass:sil=16000:tgt=ground:i=123:bd=preordered:ss=axioms_0 on theBenchmark for (2999ds/123Mi)
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20001)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=126:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2999ds/126Mi)
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (19998)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=116130:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (2999ds/116130Mi)
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (19999)dis+10_5:2_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:sos=all:i=207332:bd=off:fsr=off:dpc=on_0 on theBenchmark for (2999ds/207332Mi)
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20004)lrs+10_1:1_drc=encompass:sil=4000:i=209:ss=axioms:sgt=8:sp=occurrence_0 on theBenchmark for (2999ds/209Mi)
% 0.21/0.42  % (20003)Refutation not found, incomplete strategy% (20003)------------------------------
% 0.21/0.42  % (20003)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (20003)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (20003)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (20003)Memory used [KB]: 768
% 0.21/0.42  % (20003)Time elapsed: 0.004 s
% 0.21/0.42  % (20003)Instructions burned: 4 (million)
% 0.21/0.42  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (20000)lrs+10_1:64_drc=encompass:sil=2000:i=105:plsq=on:ss=axioms_0 on theBenchmark for (2999ds/105Mi)
% 0.21/0.42  % (20003)------------------------------
% 0.21/0.42  % (20003)------------------------------
% 0.21/0.42  % (20004)Refutation not found, incomplete strategy% (20004)------------------------------
% 0.21/0.42  % (20004)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (20004)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (20004)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (20004)Memory used [KB]: 768
% 0.21/0.42  % (20004)Time elapsed: 0.004 s
% 0.21/0.42  % (20004)Instructions burned: 4 (million)
% 0.21/0.42  % (20004)------------------------------
% 0.21/0.42  % (20004)------------------------------
% 0.21/0.42  % (20000)Refutation not found, incomplete strategy% (20000)------------------------------
% 0.21/0.42  % (20000)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.42  % (20000)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.42  % (20000)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (20000)Memory used [KB]: 762
% 0.21/0.42  % (20000)Time elapsed: 0.004 s
% 0.21/0.42  % (20000)Instructions burned: 3 (million)
% 0.21/0.42  % (20000)------------------------------
% 0.21/0.42  % (20000)------------------------------
% 0.21/0.48  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (20007)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=454:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2999ds/454Mi)
% 0.21/0.48  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (20006)lrs+10_1:4_drc=encompass:sil=16000:tgt=ground:lwlo=on:s2a=on:i=192:s2at=2.0_0 on theBenchmark for (2999ds/192Mi)
% 0.21/0.48  % (20001)Instruction limit reached!
% 0.21/0.48  % (20001)------------------------------
% 0.21/0.48  % (20001)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (20001)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (20001)Termination reason: Time limit
% 0.21/0.48  % (20001)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (20001)Memory used [KB]: 2619
% 0.21/0.48  % (20001)Time elapsed: 0.066 s
% 0.21/0.48  % (20001)Instructions burned: 127 (million)
% 0.21/0.48  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48  % (20008)lrs+10_1:2_sil=2000:tgt=ground:spb=goal:i=359:kws=precedence:irc=eager_0 on theBenchmark for (2999ds/359Mi)
% 0.21/0.50  % (20002)Instruction limit reached!
% 0.21/0.50  % (20002)------------------------------
% 0.21/0.50  % (20002)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50  % (20002)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50  % (20002)Termination reason: Time limit
% 0.21/0.50  % (20002)Termination phase: Saturation
% 0.21/0.50  
% 0.21/0.50  % (20002)Memory used [KB]: 2786
% 0.21/0.50  % (20002)Time elapsed: 0.083 s
% 0.21/0.50  % (20002)Instructions burned: 151 (million)
% 0.21/0.53  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (20009)lrs+10_1:1_sil=4000:sp=occurrence:i=163:ss=axioms:st=3.0:sd=2_0 on theBenchmark for (2998ds/163Mi)
% 0.21/0.53  % (19997)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53  % (20010)lrs+10_1:1024_drc=encompass:sil=4000:tgt=full:i=1030:kws=inv_frequency:awrs=converge_0 on theBenchmark for (2998ds/1030Mi)
% 0.21/0.55  % (20006)Instruction limit reached!
% 0.21/0.55  % (20006)------------------------------
% 0.21/0.55  % (20006)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.55  % (20006)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.55  % (20006)Termination reason: Time limit
% 0.21/0.55  % (20006)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (20006)Memory used [KB]: 3502
% 0.21/0.55  % (20006)Time elapsed: 0.074 s
% 0.21/0.55  % (20006)Instructions burned: 194 (million)
% 1.59/0.58  % (20009)Instruction limit reached!
% 1.59/0.58  % (20009)------------------------------
% 1.59/0.58  % (20009)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.59/0.58  % (20009)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.59/0.58  % (20009)Termination reason: Time limit
% 1.59/0.58  % (20009)Termination phase: Saturation
% 1.59/0.58  
% 1.59/0.58  % (20009)Memory used [KB]: 3318
% 1.59/0.58  % (20009)Time elapsed: 0.058 s
% 1.59/0.58  % (20009)Instructions burned: 163 (million)
% 1.59/0.59  % (19997)Running in auto input_syntax mode. Trying TPTP
% 1.59/0.59  % (20011)lrs+10_3:1_sil=4000:tgt=ground:i=631:kws=frequency:bd=off:drc=encompass:irc=lazy_0 on theBenchmark for (2998ds/631Mi)
% 1.74/0.61  % (20008)Instruction limit reached!
% 1.74/0.61  % (20008)------------------------------
% 1.74/0.61  % (20008)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.74/0.61  % (20008)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.74/0.61  % (20008)Termination reason: Time limit
% 1.74/0.61  % (20008)Termination phase: Saturation
% 1.74/0.61  
% 1.74/0.61  % (20008)Memory used [KB]: 5830
% 1.74/0.61  % (20008)Time elapsed: 0.126 s
% 1.74/0.61  % (20008)Instructions burned: 359 (million)
% 1.74/0.62  % (19997)Running in auto input_syntax mode. Trying TPTP
% 1.74/0.62  % (20012)lrs+10_1:3_to=lpo:drc=encompass:sil=4000:tgt=full:i=901:rawr=on:ins=4:bd=off:fd=preordered_0 on theBenchmark for (2997ds/901Mi)
% 1.97/0.64  % (20007)Instruction limit reached!
% 1.97/0.64  % (20007)------------------------------
% 1.97/0.64  % (20007)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.97/0.64  % (20007)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.97/0.64  % (20007)Termination reason: Time limit
% 1.97/0.64  % (20007)Termination phase: Saturation
% 1.97/0.64  
% 1.97/0.64  % (20007)Memory used [KB]: 5934
% 1.97/0.64  % (20007)Time elapsed: 0.179 s
% 1.97/0.64  % (20007)Instructions burned: 456 (million)
% 1.97/0.64  % (19997)Running in auto input_syntax mode. Trying TPTP
% 1.97/0.64  % (20013)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=312:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2997ds/312Mi)
% 1.97/0.68  % (19997)Running in auto input_syntax mode. Trying TPTP
% 1.97/0.68  % (20014)lrs+10_1:1_drc=encompass:sil=2000:slsq=on:s2a=on:i=1363:s2at=7.0_0 on theBenchmark for (2997ds/1363Mi)
% 2.28/0.74  % (20013)Instruction limit reached!
% 2.28/0.74  % (20013)------------------------------
% 2.28/0.74  % (20013)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.28/0.74  % (20013)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.28/0.74  % (20013)Termination reason: Time limit
% 2.28/0.74  % (20013)Termination phase: Saturation
% 2.28/0.74  
% 2.28/0.74  % (20013)Memory used [KB]: 4784
% 2.28/0.74  % (20013)Time elapsed: 0.104 s
% 2.28/0.74  % (20013)Instructions burned: 312 (million)
% 2.67/0.78  % (19997)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.78  % (20015)ott+10_8:1_drc=encompass:sil=256000:i=471:rawr=on:irc=lazy_0 on theBenchmark for (2996ds/471Mi)
% 2.67/0.79  % (20011)Instruction limit reached!
% 2.67/0.79  % (20011)------------------------------
% 2.67/0.79  % (20011)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.67/0.79  % (20011)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.67/0.79  % (20011)Termination reason: Time limit
% 2.67/0.79  % (20011)Termination phase: Saturation
% 2.67/0.79  
% 2.67/0.79  % (20011)Memory used [KB]: 9759
% 2.67/0.79  % (20011)Time elapsed: 0.207 s
% 2.67/0.79  % (20011)Instructions burned: 632 (million)
% 2.67/0.83  % (19997)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.83  % (20016)lrs+10_1:4_drc=encompass:sil=4000:tgt=full:sp=reverse_arity:st=-1.0:i=2897:kws=precedence:ss=included:lwlo=on:rawr=on:bd=off:urr=on:bsd=on_0 on theBenchmark for (2995ds/2897Mi)
% 2.99/0.88  % (20010)Instruction limit reached!
% 2.99/0.88  % (20010)------------------------------
% 2.99/0.88  % (20010)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.99/0.88  % (20010)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.99/0.88  % (20010)Termination reason: Time limit
% 2.99/0.88  % (20010)Termination phase: Saturation
% 2.99/0.88  
% 2.99/0.88  % (20010)Memory used [KB]: 11277
% 2.99/0.88  % (20010)Time elapsed: 0.346 s
% 2.99/0.88  % (20010)Instructions burned: 1030 (million)
% 3.08/0.90  % (20012)Instruction limit reached!
% 3.08/0.90  % (20012)------------------------------
% 3.08/0.90  % (20012)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.08/0.90  % (20012)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.08/0.90  % (20012)Termination reason: Time limit
% 3.08/0.90  % (20012)Termination phase: Saturation
% 3.08/0.90  
% 3.08/0.90  % (20012)Memory used [KB]: 10478
% 3.08/0.90  % (20012)Time elapsed: 0.286 s
% 3.08/0.90  % (20012)Instructions burned: 903 (million)
% 3.08/0.91  % (19997)Running in auto input_syntax mode. Trying TPTP
% 3.08/0.91  % (20017)lrs+10_1:12_sil=2000:tgt=full:sp=reverse_frequency:i=569:kws=inv_frequency:bd=off:fsr=off:rawr=on:awrs=converge_0 on theBenchmark for (2994ds/569Mi)
% 3.50/0.93  % (19997)Running in auto input_syntax mode. Trying TPTP
% 3.50/0.93  % (20018)lrs+10_1:1_drc=encompass:sil=2000:st=5.0:s2a=on:i=577:s2at=5.0:sd=1:bd=preordered:irc=lazy:ss=axioms:sgt=10_0 on theBenchmark for (2994ds/577Mi)
% 3.50/0.94  % (20015)Instruction limit reached!
% 3.50/0.94  % (20015)------------------------------
% 3.50/0.94  % (20015)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.94  % (20015)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.94  % (20015)Termination reason: Time limit
% 3.50/0.94  % (20015)Termination phase: Saturation
% 3.50/0.94  
% 3.50/0.94  % (20015)Memory used [KB]: 6706
% 3.50/0.94  % (20015)Time elapsed: 0.163 s
% 3.50/0.94  % (20015)Instructions burned: 473 (million)
% 3.50/0.97  % (19997)Running in auto input_syntax mode. Trying TPTP
% 3.50/0.97  % (20019)lrs+10_8:1_drc=encompass:sil=4000:tgt=ground:spb=non_intro:i=843:bd=off:irc=lazy_0 on theBenchmark for (2994ds/843Mi)
% 5.13/1.08  % (20017)Instruction limit reached!
% 5.13/1.08  % (20017)------------------------------
% 5.13/1.08  % (20017)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.13/1.08  % (20017)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.13/1.08  % (20017)Termination reason: Time limit
% 5.13/1.08  % (20017)Termination phase: Saturation
% 5.13/1.08  
% 5.13/1.08  % (20017)Memory used [KB]: 6709
% 5.13/1.08  % (20017)Time elapsed: 0.169 s
% 5.13/1.08  % (20017)Instructions burned: 571 (million)
% 5.13/1.11  % (19997)Running in auto input_syntax mode. Trying TPTP
% 5.13/1.11  % (20020)lrs+10_1:1_drc=encompass:sil=2000:tgt=ground:st=5.0:i=1015:bd=off:ss=axioms_0 on theBenchmark for (2992ds/1015Mi)
% 5.13/1.13  % (20018)Instruction limit reached!
% 5.13/1.13  % (20018)------------------------------
% 5.13/1.13  % (20018)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.13/1.13  % (20018)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.13/1.13  % (20018)Termination reason: Time limit
% 5.13/1.13  % (20018)Termination phase: Saturation
% 5.13/1.13  
% 5.13/1.13  % (20018)Memory used [KB]: 6995
% 5.13/1.13  % (20018)Time elapsed: 0.214 s
% 5.13/1.13  % (20018)Instructions burned: 577 (million)
% 5.13/1.16  % (19997)Running in auto input_syntax mode. Trying TPTP
% 5.13/1.16  % (20021)lrs+10_15:26_drc=encompass:sil=16000:i=4402:ins=4:irc=lazy_0 on theBenchmark for (2992ds/4402Mi)
% 5.13/1.16  % (20014)Instruction limit reached!
% 5.13/1.16  % (20014)------------------------------
% 5.13/1.16  % (20014)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.13/1.16  % (20014)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.13/1.16  % (20014)Termination reason: Time limit
% 5.13/1.16  % (20014)Termination phase: Saturation
% 5.13/1.16  
% 5.13/1.16  % (20014)Memory used [KB]: 12005
% 5.13/1.16  % (20014)Time elapsed: 0.497 s
% 5.13/1.16  % (20014)Instructions burned: 1363 (million)
% 5.67/1.19  % (19997)Running in auto input_syntax mode. Trying TPTP
% 5.67/1.19  % (20022)lrs+10_16:1_to=lpo:sil=32000:urr=ec_only:fd=preordered:nwc=10.0:i=1315:bd=off:irc=lazy:drc=encompass_0 on theBenchmark for (2992ds/1315Mi)
% 5.90/1.23  % (20019)Instruction limit reached!
% 5.90/1.23  % (20019)------------------------------
% 5.90/1.23  % (20019)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.90/1.23  % (20019)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.90/1.23  % (20019)Termination reason: Time limit
% 5.90/1.23  % (20019)Termination phase: Saturation
% 5.90/1.23  
% 5.90/1.23  % (20019)Memory used [KB]: 11738
% 5.90/1.23  % (20019)Time elapsed: 0.277 s
% 5.90/1.23  % (20019)Instructions burned: 845 (million)
% 5.90/1.26  % (19997)Running in auto input_syntax mode. Trying TPTP
% 5.90/1.26  % (20023)lrs+10_8:1_drc=encompass:sil=256000:st=3.0:s2a=on:i=2957:s2at=1.2:ss=axioms:sd=15_0 on theBenchmark for (2991ds/2957Mi)
% 6.42/1.41  % (20020)Instruction limit reached!
% 6.42/1.41  % (20020)------------------------------
% 6.42/1.41  % (20020)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.42/1.41  % (20020)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.42/1.41  % (20020)Termination reason: Time limit
% 6.42/1.41  % (20020)Termination phase: Saturation
% 6.42/1.41  
% 6.42/1.41  % (20020)Memory used [KB]: 10500
% 6.42/1.41  % (20020)Time elapsed: 0.323 s
% 6.42/1.41  % (20020)Instructions burned: 1016 (million)
% 6.42/1.44  % (19997)Running in auto input_syntax mode. Trying TPTP
% 6.42/1.44  % (20024)lrs+10_3:1_drc=encompass:sil=4000:tgt=full:sp=unary_first:sos=all:lwlo=on:i=3869:irc=lazy_0 on theBenchmark for (2989ds/3869Mi)
% 7.14/1.62  % (20022)Instruction limit reached!
% 7.14/1.62  % (20022)------------------------------
% 7.14/1.62  % (20022)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.14/1.62  % (20022)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.14/1.62  % (20022)Termination reason: Time limit
% 7.14/1.62  % (20022)Termination phase: Saturation
% 7.14/1.62  
% 7.14/1.62  % (20022)Memory used [KB]: 15429
% 7.14/1.62  % (20022)Time elapsed: 0.445 s
% 7.14/1.62  % (20022)Instructions burned: 1316 (million)
% 7.90/1.65  % (19997)Running in auto input_syntax mode. Trying TPTP
% 7.90/1.65  % (20025)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:s2agt=8:s2a=on:i=2041_0 on theBenchmark for (2987ds/2041Mi)
% 9.51/1.74  % (20016)Instruction limit reached!
% 9.51/1.74  % (20016)------------------------------
% 9.51/1.74  % (20016)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.51/1.74  % (20016)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.51/1.74  % (20016)Termination reason: Time limit
% 9.51/1.74  % (20016)Termination phase: Saturation
% 9.51/1.74  
% 9.51/1.74  % (20016)Memory used [KB]: 22858
% 9.51/1.74  % (20016)Time elapsed: 0.910 s
% 9.51/1.74  % (20016)Instructions burned: 2899 (million)
% 9.51/1.77  % (19997)Running in auto input_syntax mode. Trying TPTP
% 9.51/1.77  % (20026)ott+10_1:28_sil=256000:tgt=full:fd=preordered:i=6716:bd=off_0 on theBenchmark for (2986ds/6716Mi)
% 13.13/2.25  % (20023)Instruction limit reached!
% 13.13/2.25  % (20023)------------------------------
% 13.13/2.25  % (20023)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.13/2.25  % (20023)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.13/2.25  % (20023)Termination reason: Time limit
% 13.13/2.25  % (20023)Termination phase: Saturation
% 13.13/2.25  
% 13.13/2.25  % (20023)Memory used [KB]: 22244
% 13.13/2.25  % (20023)Time elapsed: 1.019 s
% 13.13/2.25  % (20023)Instructions burned: 2957 (million)
% 13.13/2.29  % (19997)Running in auto input_syntax mode. Trying TPTP
% 13.13/2.29  % (20027)ott+10_1:14_bsr=unit_only:sil=256000:i=2510:sp=weighted_frequency:irc=lazy_0 on theBenchmark for (2981ds/2510Mi)
% 13.66/2.31  % (20025)Instruction limit reached!
% 13.66/2.31  % (20025)------------------------------
% 13.66/2.31  % (20025)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.66/2.31  % (20025)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.66/2.31  % (20025)Termination reason: Time limit
% 13.66/2.31  % (20025)Termination phase: Saturation
% 13.66/2.31  
% 13.66/2.31  % (20025)Memory used [KB]: 19245
% 13.66/2.31  % (20025)Time elapsed: 0.684 s
% 13.66/2.31  % (20025)Instructions burned: 2043 (million)
% 13.66/2.34  % (19997)Running in auto input_syntax mode. Trying TPTP
% 13.66/2.34  % (20028)lrs+10_1:10_drc=encompass:sil=16000:tgt=ground:plsq=on:fd=preordered:i=3229:bd=preordered:ins=1:rawr=on:ss=axioms:sgt=16_0 on theBenchmark for (2980ds/3229Mi)
% 15.62/2.69  % (20021)Instruction limit reached!
% 15.62/2.69  % (20021)------------------------------
% 15.62/2.69  % (20021)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.62/2.69  % (20021)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.62/2.69  % (20021)Termination reason: Time limit
% 15.62/2.69  % (20021)Termination phase: Saturation
% 15.62/2.69  
% 15.62/2.69  % (20021)Memory used [KB]: 35947
% 15.62/2.69  % (20021)Time elapsed: 1.553 s
% 15.62/2.69  % (20021)Instructions burned: 4403 (million)
% 15.62/2.72  % (20024)Refutation not found, non-redundant clauses discarded% (20024)------------------------------
% 15.62/2.72  % (20024)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.62/2.72  % (20024)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.62/2.72  % (20024)Termination reason: Refutation not found, non-redundant clauses discarded
% 15.62/2.72  
% 15.62/2.72  % (20024)Memory used [KB]: 22537
% 15.62/2.72  % (20024)Time elapsed: 1.302 s
% 15.62/2.72  % (20024)Instructions burned: 3683 (million)
% 15.62/2.72  % (20024)------------------------------
% 15.62/2.72  % (20024)------------------------------
% 15.62/2.72  % (19997)Running in auto input_syntax mode. Trying TPTP
% 15.62/2.72  % (20029)lrs+10_1:16_drc=encompass:sil=16000:sp=unary_frequency:i=7440:kws=precedence_0 on theBenchmark for (2976ds/7440Mi)
% 15.62/2.75  % (19997)Running in auto input_syntax mode. Trying TPTP
% 15.62/2.75  % (20030)ott+10_1:64_sil=256000:tgt=full:i=10214:sp=reverse_frequency:bd=off:drc=encompass_0 on theBenchmark for (2976ds/10214Mi)
% 19.44/3.13  % (20027)Instruction limit reached!
% 19.44/3.13  % (20027)------------------------------
% 19.44/3.13  % (20027)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.44/3.13  % (20027)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.44/3.13  % (20027)Termination reason: Time limit
% 19.44/3.13  % (20027)Termination phase: Saturation
% 19.44/3.13  
% 19.44/3.13  % (20027)Memory used [KB]: 25819
% 19.44/3.13  % (20027)Time elapsed: 0.846 s
% 19.44/3.13  % (20027)Instructions burned: 2510 (million)
% 19.44/3.20  % (19997)Running in auto input_syntax mode. Trying TPTP
% 19.44/3.20  % (20031)lrs+10_3:14_drc=encompass:sil=128000:sp=const_frequency:spb=goal:lwlo=on:i=29852:kws=precedence:irc=lazy:ins=4_0 on theBenchmark for (2972ds/29852Mi)
% 21.28/3.40  % (20028)Instruction limit reached!
% 21.28/3.40  % (20028)------------------------------
% 21.28/3.40  % (20028)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.28/3.40  % (20028)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.28/3.40  % (20028)Termination reason: Time limit
% 21.28/3.40  % (20028)Termination phase: Saturation
% 21.28/3.40  
% 21.28/3.40  % (20028)Memory used [KB]: 28697
% 21.28/3.40  % (20028)Time elapsed: 1.063 s
% 21.28/3.40  % (20028)Instructions burned: 3231 (million)
% 21.58/3.44  % (19997)Running in auto input_syntax mode. Trying TPTP
% 21.58/3.44  % (20032)lrs+10_1:6_drc=encompass:sil=32000:tgt=ground:s2agt=8:s2a=on:i=24503_0 on theBenchmark for (2969ds/24503Mi)
% 23.37/3.74  % (20026)Instruction limit reached!
% 23.37/3.74  % (20026)------------------------------
% 23.37/3.74  % (20026)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 23.37/3.74  % (20026)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 23.37/3.74  % (20026)Termination reason: Time limit
% 23.37/3.74  % (20026)Termination phase: Saturation
% 23.37/3.74  
% 23.37/3.74  % (20026)Memory used [KB]: 60093
% 23.37/3.74  % (20026)Time elapsed: 1.997 s
% 23.37/3.74  % (20026)Instructions burned: 6718 (million)
% 23.37/3.78  % (19997)Running in auto input_syntax mode. Trying TPTP
% 23.37/3.78  % (20033)dis+10_1:4_to=lpo:sil=256000:tgt=full:sp=reverse_frequency:spb=goal:i=11902:awrs=converge:awrsf=500:fd=preordered:irc=lazy:bd=off_0 on theBenchmark for (2966ds/11902Mi)
% 33.98/5.26  % (20029)Instruction limit reached!
% 33.98/5.26  % (20029)------------------------------
% 33.98/5.26  % (20029)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.98/5.26  % (20029)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.98/5.26  % (20029)Termination reason: Time limit
% 33.98/5.26  % (20029)Termination phase: Saturation
% 33.98/5.26  
% 33.98/5.26  % (20029)Memory used [KB]: 43979
% 33.98/5.26  % (20029)Time elapsed: 2.539 s
% 33.98/5.26  % (20029)Instructions burned: 7440 (million)
% 33.98/5.30  % (19997)Running in auto input_syntax mode. Trying TPTP
% 33.98/5.30  % (20035)dis+10_1:4_drc=encompass:sil=256000:tgt=ground:sos=all:i=13038:kws=inv_arity_squared:fsr=off:dpc=on_0 on theBenchmark for (2951ds/13038Mi)
% 37.99/5.79  % (20030)Instruction limit reached!
% 37.99/5.79  % (20030)------------------------------
% 37.99/5.79  % (20030)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 37.99/5.79  % (20030)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 37.99/5.79  % (20030)Termination reason: Time limit
% 37.99/5.79  % (20030)Termination phase: Saturation
% 37.99/5.79  
% 37.99/5.79  % (20030)Memory used [KB]: 84212
% 37.99/5.79  % (20030)Time elapsed: 3.031 s
% 37.99/5.79  % (20030)Instructions burned: 10215 (million)
% 37.99/5.83  % (19997)Running in auto input_syntax mode. Trying TPTP
% 37.99/5.83  % (20036)lrs+10_1:16_drc=encompass:sil=32000:sp=reverse_frequency:spb=goal:i=28291:kws=inv_arity_squared_0 on theBenchmark for (2945ds/28291Mi)
% 49.45/7.45  % (20033)Instruction limit reached!
% 49.45/7.45  % (20033)------------------------------
% 49.45/7.45  % (20033)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 49.45/7.45  % (20033)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 49.45/7.45  % (20033)Termination reason: Time limit
% 49.45/7.45  % (20033)Termination phase: Saturation
% 49.45/7.45  
% 49.45/7.45  % (20033)Memory used [KB]: 140784
% 49.45/7.45  % (20033)Time elapsed: 3.677 s
% 49.45/7.45  % (20033)Instructions burned: 11902 (million)
% 49.45/7.49  % (19997)Running in auto input_syntax mode. Trying TPTP
% 49.45/7.49  % (20037)dis+10_1:166_drc=encompass:sil=256000:tgt=full:i=19584:fsr=off:spb=non_intro:kws=inv_frequency_0 on theBenchmark for (2929ds/19584Mi)
% 62.38/9.30  % (20035)Instruction limit reached!
% 62.38/9.30  % (20035)------------------------------
% 62.38/9.30  % (20035)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 62.38/9.30  % (20035)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 62.38/9.30  % (20035)Termination reason: Time limit
% 62.38/9.30  % (20035)Termination phase: Saturation
% 62.38/9.30  
% 62.38/9.30  % (20035)Memory used [KB]: 125501
% 62.38/9.30  % (20035)Time elapsed: 4.014 s
% 62.38/9.30  % (20035)Instructions burned: 13038 (million)
% 62.52/9.34  % (19997)Running in auto input_syntax mode. Trying TPTP
% 62.52/9.34  % (20038)lrs+10_1:34_drc=encompass:sil=64000:tgt=ground:lwlo=on:i=37491:kws=frequency:irc=eager_0 on theBenchmark for (2910ds/37491Mi)
% 78.47/11.65  % (20032)First to succeed.
% 78.47/11.66  % (20032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19997"
% 78.47/11.67  % (19997)Running in auto input_syntax mode. Trying TPTP
% 78.47/11.67  % (20032)Refutation found. Thanks to Tanya!
% 78.47/11.67  % SZS status Unsatisfiable for theBenchmark
% 78.47/11.67  % SZS output start Proof for theBenchmark
% See solution above
% 78.47/11.67  % (20032)------------------------------
% 78.47/11.67  % (20032)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 78.47/11.67  % (20032)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 78.47/11.67  % (20032)Termination reason: Refutation
% 78.47/11.67  
% 78.47/11.67  % (20032)Memory used [KB]: 102450
% 78.47/11.67  % (20032)Time elapsed: 8.228 s
% 78.47/11.67  % (20032)Instructions burned: 22554 (million)
% 78.47/11.67  % (20032)------------------------------
% 78.47/11.67  % (20032)------------------------------
% 78.47/11.67  % (19997)Success in time 11.306 s
%------------------------------------------------------------------------------