TSTP Solution File: GRP451-1 by SnakeForV-SAT---1.0

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n011.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 : Wed Aug 31 16:22:33 EDT 2022

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (  31 unt;   0 def)
%            Number of atoms       :   31 (  30 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f279,plain,
    $false,
    inference(subsumption_resolution,[],[f275,f9]) ).

fof(f9,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f4,f8,f7,f6,f5]) ).

fof(f5,plain,
    inverse(a1) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    multiply(sF0,a1) = sF1,
    introduced(function_definition,[]) ).

fof(f7,plain,
    inverse(b1) = sF2,
    introduced(function_definition,[]) ).

fof(f8,plain,
    multiply(sF2,b1) = sF3,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f275,plain,
    sF1 = sF3,
    inference(superposition,[],[f265,f8]) ).

fof(f265,plain,
    multiply(sF2,b1) = sF1,
    inference(superposition,[],[f236,f7]) ).

fof(f236,plain,
    ! [X15] : sF1 = multiply(inverse(X15),X15),
    inference(forward_demodulation,[],[f235,f152]) ).

fof(f152,plain,
    ! [X0,X1] : sF1 = divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1),
    inference(forward_demodulation,[],[f151,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).

fof(f151,plain,
    ! [X0,X1] : sF1 = divide(inverse(multiply(X0,divide(divide(divide(X0,X0),X0),X1))),X1),
    inference(forward_demodulation,[],[f150,f36]) ).

fof(f36,plain,
    ! [X8,X7] : multiply(X7,X8) = divide(X7,inverse(X8)),
    inference(forward_demodulation,[],[f21,f12]) ).

fof(f12,plain,
    ! [X2,X3] : divide(inverse(inverse(inverse(divide(X2,X2)))),X3) = inverse(X3),
    inference(superposition,[],[f10,f10]) ).

fof(f10,plain,
    ! [X0,X1] : divide(inverse(divide(X0,X0)),X1) = inverse(X1),
    inference(superposition,[],[f3,f3]) ).

fof(f21,plain,
    ! [X8,X6,X7] : divide(X7,divide(inverse(inverse(inverse(divide(X6,X6)))),X8)) = multiply(X7,X8),
    inference(superposition,[],[f2,f11]) ).

fof(f11,plain,
    ! [X0,X1] : divide(inverse(inverse(divide(X0,X0))),X1) = inverse(X1),
    inference(superposition,[],[f10,f3]) ).

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

fof(f150,plain,
    ! [X0,X1] : sF1 = divide(inverse(divide(X0,inverse(divide(divide(divide(X0,X0),X0),X1)))),X1),
    inference(forward_demodulation,[],[f95,f3]) ).

fof(f95,plain,
    ! [X0,X1] : divide(divide(divide(X0,X0),divide(X0,inverse(divide(divide(divide(X0,X0),X0),X1)))),X1) = sF1,
    inference(superposition,[],[f1,f68]) ).

fof(f68,plain,
    ! [X4] : inverse(X4) = divide(sF1,X4),
    inference(superposition,[],[f3,f63]) ).

fof(f63,plain,
    divide(sF0,sF0) = sF1,
    inference(superposition,[],[f49,f6]) ).

fof(f49,plain,
    ! [X0] : divide(X0,sF0) = multiply(X0,a1),
    inference(superposition,[],[f36,f5]) ).

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

fof(f235,plain,
    ! [X16,X17,X15] : divide(inverse(multiply(X16,divide(inverse(X16),X17))),X17) = multiply(inverse(X15),X15),
    inference(forward_demodulation,[],[f234,f3]) ).

fof(f234,plain,
    ! [X16,X17,X15] : divide(inverse(multiply(X16,divide(divide(divide(X16,X16),X16),X17))),X17) = multiply(inverse(X15),X15),
    inference(forward_demodulation,[],[f233,f36]) ).

fof(f233,plain,
    ! [X16,X17,X15] : divide(inverse(divide(X16,inverse(divide(divide(divide(X16,X16),X16),X17)))),X17) = multiply(inverse(X15),X15),
    inference(forward_demodulation,[],[f221,f3]) ).

fof(f221,plain,
    ! [X16,X17,X15] : divide(divide(divide(X16,X16),divide(X16,inverse(divide(divide(divide(X16,X16),X16),X17)))),X17) = multiply(inverse(X15),X15),
    inference(superposition,[],[f1,f35]) ).

fof(f35,plain,
    ! [X8,X7] : divide(multiply(inverse(X7),X7),X8) = inverse(X8),
    inference(forward_demodulation,[],[f30,f3]) ).

fof(f30,plain,
    ! [X8,X6,X7] : divide(multiply(divide(divide(X6,X6),X7),X7),X8) = inverse(X8),
    inference(superposition,[],[f3,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:26:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.52  % (6398)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.21/0.52  % (6381)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.54  % (6381)First to succeed.
% 0.21/0.55  % (6381)Refutation found. Thanks to Tanya!
% 0.21/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55  % (6381)------------------------------
% 0.21/0.55  % (6381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (6381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (6381)Termination reason: Refutation
% 0.21/0.55  
% 0.21/0.55  % (6381)Memory used [KB]: 5628
% 0.21/0.55  % (6381)Time elapsed: 0.125 s
% 0.21/0.55  % (6381)Instructions burned: 10 (million)
% 0.21/0.55  % (6381)------------------------------
% 0.21/0.55  % (6381)------------------------------
% 0.21/0.55  % (6367)Success in time 0.192 s
%------------------------------------------------------------------------------