TSTP Solution File: GRP567-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 01:25:54 EDT 2023

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  138 ( 138 unt;   0 def)
%            Number of atoms       :  138 ( 137 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-2 aty)
%            Number of variables   :   80 (;  80   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4347,plain,
    $false,
    inference(subsumption_resolution,[],[f4346,f16]) ).

fof(f16,plain,
    sF3 != sF7,
    inference(definition_folding,[],[f6,f15,f14,f13,f12,f11,f10,f9,f8]) ).

fof(f8,plain,
    double_divide(b3,a3) = sF0,
    introduced(function_definition,[]) ).

fof(f9,plain,
    double_divide(sF0,identity) = sF1,
    introduced(function_definition,[]) ).

fof(f10,plain,
    double_divide(c3,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f11,plain,
    double_divide(sF2,identity) = sF3,
    introduced(function_definition,[]) ).

fof(f12,plain,
    double_divide(c3,b3) = sF4,
    introduced(function_definition,[]) ).

fof(f13,plain,
    double_divide(sF4,identity) = sF5,
    introduced(function_definition,[]) ).

fof(f14,plain,
    double_divide(sF5,a3) = sF6,
    introduced(function_definition,[]) ).

fof(f15,plain,
    double_divide(sF6,identity) = sF7,
    introduced(function_definition,[]) ).

fof(f6,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
    inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    file('/export/starexec/sandbox2/tmp/tmp.HdrVTKT1AI/Vampire---4.8_20921',multiply) ).

fof(f5,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/tmp/tmp.HdrVTKT1AI/Vampire---4.8_20921',prove_these_axioms_3) ).

fof(f4346,plain,
    sF3 = sF7,
    inference(forward_demodulation,[],[f4337,f3309]) ).

fof(f3309,plain,
    sF7 = double_divide(sF4,double_divide(a3,identity)),
    inference(forward_demodulation,[],[f3306,f601]) ).

fof(f601,plain,
    ! [X11] : double_divide(X11,sF4) = double_divide(sF4,X11),
    inference(superposition,[],[f570,f319]) ).

fof(f319,plain,
    ! [X1] : sF4 = double_divide(double_divide(X1,sF4),X1),
    inference(forward_demodulation,[],[f314,f178]) ).

fof(f178,plain,
    sF4 = double_divide(sF5,identity),
    inference(backward_demodulation,[],[f42,f171]) ).

fof(f171,plain,
    identity = double_divide(identity,identity),
    inference(forward_demodulation,[],[f170,f7]) ).

fof(f7,plain,
    ! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
    inference(definition_unfolding,[],[f4,f3]) ).

fof(f3,axiom,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    file('/export/starexec/sandbox2/tmp/tmp.HdrVTKT1AI/Vampire---4.8_20921',inverse) ).

fof(f4,axiom,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.HdrVTKT1AI/Vampire---4.8_20921',identity) ).

fof(f170,plain,
    double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
    inference(forward_demodulation,[],[f167,f7]) ).

fof(f167,plain,
    double_divide(identity,identity) = double_divide(double_divide(sF1,double_divide(sF1,identity)),double_divide(identity,identity)),
    inference(superposition,[],[f49,f157]) ).

fof(f157,plain,
    sF1 = double_divide(double_divide(identity,identity),sF0),
    inference(forward_demodulation,[],[f154,f68]) ).

fof(f68,plain,
    ! [X0] : double_divide(double_divide(X0,identity),sF0) = double_divide(double_divide(X0,sF1),double_divide(identity,identity)),
    inference(superposition,[],[f1,f63]) ).

fof(f63,plain,
    ! [X0] : sF1 = double_divide(double_divide(double_divide(X0,sF0),X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f49]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),double_divide(identity,identity)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.HdrVTKT1AI/Vampire---4.8_20921',single_axiom) ).

fof(f154,plain,
    sF1 = double_divide(double_divide(identity,sF1),double_divide(identity,identity)),
    inference(superposition,[],[f63,f152]) ).

fof(f152,plain,
    identity = double_divide(sF1,sF0),
    inference(forward_demodulation,[],[f151,f7]) ).

fof(f151,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(sF1,sF0),
    inference(forward_demodulation,[],[f140,f9]) ).

fof(f140,plain,
    double_divide(identity,double_divide(identity,identity)) = double_divide(double_divide(sF0,identity),sF0),
    inference(superposition,[],[f68,f17]) ).

fof(f17,plain,
    identity = double_divide(sF0,sF1),
    inference(superposition,[],[f7,f9]) ).

fof(f49,plain,
    ! [X0] : double_divide(double_divide(sF1,double_divide(double_divide(X0,sF0),identity)),double_divide(identity,identity)) = X0,
    inference(forward_demodulation,[],[f48,f7]) ).

fof(f48,plain,
    ! [X0] : double_divide(double_divide(sF1,double_divide(double_divide(X0,sF0),double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f40]) ).

fof(f40,plain,
    sF0 = double_divide(sF1,double_divide(identity,identity)),
    inference(superposition,[],[f39,f9]) ).

fof(f39,plain,
    ! [X0] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = X0,
    inference(forward_demodulation,[],[f35,f7]) ).

fof(f35,plain,
    ! [X0] : double_divide(double_divide(X0,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f7]) ).

fof(f42,plain,
    sF4 = double_divide(sF5,double_divide(identity,identity)),
    inference(superposition,[],[f39,f13]) ).

fof(f314,plain,
    ! [X1] : double_divide(double_divide(X1,sF4),X1) = double_divide(sF5,identity),
    inference(superposition,[],[f175,f191]) ).

fof(f191,plain,
    ! [X0] : sF5 = double_divide(double_divide(double_divide(X0,sF4),X0),identity),
    inference(backward_demodulation,[],[f103,f171]) ).

fof(f103,plain,
    ! [X0] : sF5 = double_divide(double_divide(double_divide(X0,sF4),X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f55]) ).

fof(f55,plain,
    ! [X0] : double_divide(double_divide(sF5,double_divide(double_divide(X0,sF4),identity)),double_divide(identity,identity)) = X0,
    inference(forward_demodulation,[],[f54,f7]) ).

fof(f54,plain,
    ! [X0] : double_divide(double_divide(sF5,double_divide(double_divide(X0,sF4),double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f42]) ).

fof(f175,plain,
    ! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
    inference(backward_demodulation,[],[f39,f171]) ).

fof(f570,plain,
    ! [X8,X9] : double_divide(double_divide(X9,X8),X8) = X9,
    inference(forward_demodulation,[],[f567,f402]) ).

fof(f402,plain,
    ! [X16] : double_divide(double_divide(identity,X16),identity) = X16,
    inference(forward_demodulation,[],[f343,f175]) ).

fof(f343,plain,
    ! [X16] : double_divide(double_divide(identity,double_divide(double_divide(X16,identity),identity)),identity) = X16,
    inference(superposition,[],[f173,f171]) ).

fof(f173,plain,
    ! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(identity,X2))),identity) = X1,
    inference(backward_demodulation,[],[f1,f171]) ).

fof(f567,plain,
    ! [X8,X9] : double_divide(double_divide(identity,double_divide(double_divide(X9,X8),X8)),identity) = X9,
    inference(superposition,[],[f173,f472]) ).

fof(f472,plain,
    ! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
    inference(forward_demodulation,[],[f469,f402]) ).

fof(f469,plain,
    ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,X0))),identity) = X0,
    inference(superposition,[],[f173,f453]) ).

fof(f453,plain,
    ! [X2] : identity = double_divide(X2,double_divide(identity,X2)),
    inference(superposition,[],[f212,f402]) ).

fof(f212,plain,
    ! [X0] : identity = double_divide(double_divide(X0,identity),X0),
    inference(superposition,[],[f7,f175]) ).

fof(f3306,plain,
    sF7 = double_divide(double_divide(a3,identity),sF4),
    inference(superposition,[],[f570,f3282]) ).

fof(f3282,plain,
    double_divide(a3,identity) = double_divide(sF7,sF4),
    inference(superposition,[],[f402,f3259]) ).

fof(f3259,plain,
    a3 = double_divide(identity,double_divide(sF7,sF4)),
    inference(forward_demodulation,[],[f3258,f1245]) ).

fof(f1245,plain,
    a3 = double_divide(sF6,sF5),
    inference(forward_demodulation,[],[f1243,f1152]) ).

fof(f1152,plain,
    ! [X0] : double_divide(X0,sF6) = double_divide(sF6,X0),
    inference(superposition,[],[f570,f1130]) ).

fof(f1130,plain,
    ! [X3] : sF6 = double_divide(double_divide(X3,sF6),X3),
    inference(forward_demodulation,[],[f1113,f179]) ).

fof(f179,plain,
    sF6 = double_divide(sF7,identity),
    inference(backward_demodulation,[],[f43,f171]) ).

fof(f43,plain,
    sF6 = double_divide(sF7,double_divide(identity,identity)),
    inference(superposition,[],[f39,f15]) ).

fof(f1113,plain,
    ! [X3] : double_divide(sF7,identity) = double_divide(double_divide(X3,sF6),X3),
    inference(superposition,[],[f402,f1092]) ).

fof(f1092,plain,
    ! [X0] : sF7 = double_divide(identity,double_divide(double_divide(X0,sF6),X0)),
    inference(forward_demodulation,[],[f192,f454]) ).

fof(f454,plain,
    ! [X3] : double_divide(identity,X3) = double_divide(X3,identity),
    inference(superposition,[],[f175,f402]) ).

fof(f192,plain,
    ! [X0] : sF7 = double_divide(double_divide(double_divide(X0,sF6),X0),identity),
    inference(backward_demodulation,[],[f123,f171]) ).

fof(f123,plain,
    ! [X0] : sF7 = double_divide(double_divide(double_divide(X0,sF6),X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f58]) ).

fof(f58,plain,
    ! [X0] : double_divide(double_divide(sF7,double_divide(double_divide(X0,sF6),identity)),double_divide(identity,identity)) = X0,
    inference(forward_demodulation,[],[f57,f7]) ).

fof(f57,plain,
    ! [X0] : double_divide(double_divide(sF7,double_divide(double_divide(X0,sF6),double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f43]) ).

fof(f1243,plain,
    a3 = double_divide(sF5,sF6),
    inference(superposition,[],[f570,f1207]) ).

fof(f1207,plain,
    sF5 = double_divide(a3,sF6),
    inference(superposition,[],[f1152,f637]) ).

fof(f637,plain,
    sF5 = double_divide(sF6,a3),
    inference(superposition,[],[f570,f14]) ).

fof(f3258,plain,
    double_divide(sF6,sF5) = double_divide(identity,double_divide(sF7,sF4)),
    inference(forward_demodulation,[],[f3257,f2059]) ).

fof(f2059,plain,
    ! [X0] : double_divide(X0,sF5) = double_divide(sF5,X0),
    inference(superposition,[],[f570,f2010]) ).

fof(f2010,plain,
    ! [X0] : sF5 = double_divide(double_divide(X0,sF5),X0),
    inference(superposition,[],[f2002,f570]) ).

fof(f2002,plain,
    ! [X0] : sF5 = double_divide(X0,double_divide(X0,sF5)),
    inference(forward_demodulation,[],[f1986,f107]) ).

fof(f107,plain,
    sF5 = double_divide(identity,sF4),
    inference(superposition,[],[f103,f39]) ).

fof(f1986,plain,
    ! [X0] : double_divide(identity,sF4) = double_divide(X0,double_divide(X0,sF5)),
    inference(superposition,[],[f472,f988]) ).

fof(f988,plain,
    ! [X1] : sF4 = double_divide(identity,double_divide(X1,double_divide(X1,sF5))),
    inference(forward_demodulation,[],[f987,f107]) ).

fof(f987,plain,
    ! [X1] : sF4 = double_divide(identity,double_divide(X1,double_divide(X1,double_divide(identity,sF4)))),
    inference(forward_demodulation,[],[f983,f454]) ).

fof(f983,plain,
    ! [X1] : sF4 = double_divide(double_divide(X1,double_divide(X1,double_divide(identity,sF4))),identity),
    inference(superposition,[],[f173,f772]) ).

fof(f772,plain,
    ! [X1] : double_divide(sF4,double_divide(X1,sF4)) = X1,
    inference(superposition,[],[f601,f570]) ).

fof(f3257,plain,
    double_divide(sF5,sF6) = double_divide(identity,double_divide(sF7,sF4)),
    inference(forward_demodulation,[],[f3256,f601]) ).

fof(f3256,plain,
    double_divide(sF5,sF6) = double_divide(identity,double_divide(sF4,sF7)),
    inference(forward_demodulation,[],[f3221,f127]) ).

fof(f127,plain,
    sF7 = double_divide(identity,sF6),
    inference(superposition,[],[f123,f39]) ).

fof(f3221,plain,
    double_divide(sF5,sF6) = double_divide(identity,double_divide(sF4,double_divide(identity,sF6))),
    inference(superposition,[],[f1903,f1130]) ).

fof(f1903,plain,
    ! [X41] : double_divide(identity,double_divide(sF4,double_divide(identity,double_divide(X41,sF5)))) = X41,
    inference(forward_demodulation,[],[f1902,f454]) ).

fof(f1902,plain,
    ! [X41] : double_divide(identity,double_divide(sF4,double_divide(double_divide(X41,sF5),identity))) = X41,
    inference(forward_demodulation,[],[f412,f454]) ).

fof(f412,plain,
    ! [X41] : double_divide(double_divide(sF4,double_divide(double_divide(X41,sF5),identity)),identity) = X41,
    inference(forward_demodulation,[],[f368,f171]) ).

fof(f368,plain,
    ! [X41] : double_divide(double_divide(sF4,double_divide(double_divide(X41,sF5),double_divide(identity,identity))),identity) = X41,
    inference(superposition,[],[f173,f13]) ).

fof(f4337,plain,
    sF3 = double_divide(sF4,double_divide(a3,identity)),
    inference(superposition,[],[f1863,f4312]) ).

fof(f4312,plain,
    double_divide(a3,identity) = double_divide(sF3,sF4),
    inference(forward_demodulation,[],[f4311,f454]) ).

fof(f4311,plain,
    double_divide(identity,a3) = double_divide(sF3,sF4),
    inference(forward_demodulation,[],[f4310,f707]) ).

fof(f707,plain,
    a3 = double_divide(b3,sF0),
    inference(superposition,[],[f570,f679]) ).

fof(f679,plain,
    b3 = double_divide(a3,sF0),
    inference(superposition,[],[f599,f615]) ).

fof(f615,plain,
    b3 = double_divide(sF0,a3),
    inference(superposition,[],[f570,f8]) ).

fof(f599,plain,
    ! [X9] : double_divide(X9,sF0) = double_divide(sF0,X9),
    inference(superposition,[],[f570,f266]) ).

fof(f266,plain,
    ! [X1] : sF0 = double_divide(double_divide(X1,sF0),X1),
    inference(forward_demodulation,[],[f261,f176]) ).

fof(f176,plain,
    sF0 = double_divide(sF1,identity),
    inference(backward_demodulation,[],[f40,f171]) ).

fof(f261,plain,
    ! [X1] : double_divide(double_divide(X1,sF0),X1) = double_divide(sF1,identity),
    inference(superposition,[],[f175,f188]) ).

fof(f188,plain,
    ! [X0] : sF1 = double_divide(double_divide(double_divide(X0,sF0),X0),identity),
    inference(backward_demodulation,[],[f63,f171]) ).

fof(f4310,plain,
    double_divide(sF3,sF4) = double_divide(identity,double_divide(b3,sF0)),
    inference(forward_demodulation,[],[f4309,f599]) ).

fof(f4309,plain,
    double_divide(sF3,sF4) = double_divide(identity,double_divide(sF0,b3)),
    inference(forward_demodulation,[],[f4308,f809]) ).

fof(f809,plain,
    b3 = double_divide(c3,sF4),
    inference(superposition,[],[f570,f779]) ).

fof(f779,plain,
    c3 = double_divide(b3,sF4),
    inference(superposition,[],[f601,f617]) ).

fof(f617,plain,
    c3 = double_divide(sF4,b3),
    inference(superposition,[],[f570,f12]) ).

fof(f4308,plain,
    double_divide(sF3,sF4) = double_divide(identity,double_divide(sF0,double_divide(c3,sF4))),
    inference(forward_demodulation,[],[f4276,f601]) ).

fof(f4276,plain,
    double_divide(sF3,sF4) = double_divide(identity,double_divide(sF0,double_divide(sF4,c3))),
    inference(superposition,[],[f1348,f319]) ).

fof(f1348,plain,
    ! [X0] : double_divide(identity,double_divide(sF0,double_divide(double_divide(X0,sF3),c3))) = X0,
    inference(forward_demodulation,[],[f1347,f481]) ).

fof(f481,plain,
    ! [X4] : double_divide(identity,double_divide(X4,identity)) = X4,
    inference(superposition,[],[f454,f175]) ).

fof(f1347,plain,
    ! [X0] : double_divide(identity,double_divide(sF0,double_divide(double_divide(X0,sF3),double_divide(identity,double_divide(c3,identity))))) = X0,
    inference(forward_demodulation,[],[f1342,f454]) ).

fof(f1342,plain,
    ! [X0] : double_divide(double_divide(sF0,double_divide(double_divide(X0,sF3),double_divide(identity,double_divide(c3,identity)))),identity) = X0,
    inference(superposition,[],[f173,f1337]) ).

fof(f1337,plain,
    sF3 = double_divide(sF0,double_divide(c3,identity)),
    inference(forward_demodulation,[],[f1336,f454]) ).

fof(f1336,plain,
    sF3 = double_divide(sF0,double_divide(identity,c3)),
    inference(forward_demodulation,[],[f1335,f727]) ).

fof(f727,plain,
    c3 = double_divide(sF1,sF2),
    inference(superposition,[],[f600,f616]) ).

fof(f616,plain,
    c3 = double_divide(sF2,sF1),
    inference(superposition,[],[f570,f10]) ).

fof(f600,plain,
    ! [X10] : double_divide(X10,sF2) = double_divide(sF2,X10),
    inference(superposition,[],[f570,f291]) ).

fof(f291,plain,
    ! [X1] : sF2 = double_divide(double_divide(X1,sF2),X1),
    inference(forward_demodulation,[],[f286,f177]) ).

fof(f177,plain,
    sF2 = double_divide(sF3,identity),
    inference(backward_demodulation,[],[f41,f171]) ).

fof(f41,plain,
    sF2 = double_divide(sF3,double_divide(identity,identity)),
    inference(superposition,[],[f39,f11]) ).

fof(f286,plain,
    ! [X1] : double_divide(double_divide(X1,sF2),X1) = double_divide(sF3,identity),
    inference(superposition,[],[f175,f190]) ).

fof(f190,plain,
    ! [X0] : sF3 = double_divide(double_divide(double_divide(X0,sF2),X0),identity),
    inference(backward_demodulation,[],[f83,f171]) ).

fof(f83,plain,
    ! [X0] : sF3 = double_divide(double_divide(double_divide(X0,sF2),X0),double_divide(identity,identity)),
    inference(superposition,[],[f1,f52]) ).

fof(f52,plain,
    ! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(X0,sF2),identity)),double_divide(identity,identity)) = X0,
    inference(forward_demodulation,[],[f51,f7]) ).

fof(f51,plain,
    ! [X0] : double_divide(double_divide(sF3,double_divide(double_divide(X0,sF2),double_divide(identity,double_divide(identity,identity)))),double_divide(identity,identity)) = X0,
    inference(superposition,[],[f1,f41]) ).

fof(f1335,plain,
    sF3 = double_divide(sF0,double_divide(identity,double_divide(sF1,sF2))),
    inference(forward_demodulation,[],[f1334,f454]) ).

fof(f1334,plain,
    sF3 = double_divide(sF0,double_divide(double_divide(sF1,sF2),identity)),
    inference(forward_demodulation,[],[f142,f599]) ).

fof(f142,plain,
    sF3 = double_divide(double_divide(double_divide(sF1,sF2),identity),sF0),
    inference(superposition,[],[f68,f83]) ).

fof(f1863,plain,
    ! [X2] : sF3 = double_divide(X2,double_divide(sF3,X2)),
    inference(superposition,[],[f1756,f1813]) ).

fof(f1813,plain,
    ! [X0] : double_divide(X0,sF3) = double_divide(sF3,X0),
    inference(superposition,[],[f570,f1764]) ).

fof(f1764,plain,
    ! [X0] : sF3 = double_divide(double_divide(X0,sF3),X0),
    inference(superposition,[],[f1756,f570]) ).

fof(f1756,plain,
    ! [X0] : sF3 = double_divide(X0,double_divide(X0,sF3)),
    inference(forward_demodulation,[],[f1739,f87]) ).

fof(f87,plain,
    sF3 = double_divide(identity,sF2),
    inference(superposition,[],[f83,f39]) ).

fof(f1739,plain,
    ! [X0] : double_divide(identity,sF2) = double_divide(X0,double_divide(X0,sF3)),
    inference(superposition,[],[f472,f957]) ).

fof(f957,plain,
    ! [X1] : sF2 = double_divide(identity,double_divide(X1,double_divide(X1,sF3))),
    inference(forward_demodulation,[],[f956,f87]) ).

fof(f956,plain,
    ! [X1] : sF2 = double_divide(identity,double_divide(X1,double_divide(X1,double_divide(identity,sF2)))),
    inference(forward_demodulation,[],[f952,f454]) ).

fof(f952,plain,
    ! [X1] : sF2 = double_divide(double_divide(X1,double_divide(X1,double_divide(identity,sF2))),identity),
    inference(superposition,[],[f173,f721]) ).

fof(f721,plain,
    ! [X1] : double_divide(sF2,double_divide(X1,sF2)) = X1,
    inference(superposition,[],[f600,f570]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP567-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 28 22:03:43 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.HdrVTKT1AI/Vampire---4.8_20921
% 0.15/0.36  % (21175)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (21180)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.22/0.42  % (21178)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.42  % (21184)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.22/0.42  % (21181)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.22/0.42  % (21182)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 0.22/0.42  % (21183)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.22/0.42  % (21179)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.22/0.50  % (21179)First to succeed.
% 0.22/0.51  % (21179)Refutation found. Thanks to Tanya!
% 0.22/0.51  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.51  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.51  % (21179)------------------------------
% 0.22/0.51  % (21179)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.51  % (21179)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.51  % (21179)Termination reason: Refutation
% 0.22/0.51  
% 0.22/0.51  % (21179)Memory used [KB]: 2686
% 0.22/0.51  % (21179)Time elapsed: 0.086 s
% 0.22/0.51  % (21179)------------------------------
% 0.22/0.51  % (21179)------------------------------
% 0.22/0.51  % (21175)Success in time 0.146 s
% 0.22/0.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------