TSTP Solution File: GRP590-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP590-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n010.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 May 20 21:31:28 EDT 2024

% Result   : Unsatisfiable 0.15s 0.34s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  24 unt;   0 def)
%            Number of atoms       :   24 (  23 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f760,plain,
    $false,
    inference(trivial_inequality_removal,[],[f747]) ).

fof(f747,plain,
    a2 != a2,
    inference(superposition,[],[f360,f676]) ).

fof(f676,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
    inference(superposition,[],[f463,f57]) ).

fof(f57,plain,
    ! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
    inference(superposition,[],[f40,f53]) ).

fof(f53,plain,
    ! [X0,X1] : inverse(X1) = multiply(inverse(X1),multiply(inverse(X0),X0)),
    inference(superposition,[],[f2,f40]) ).

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

fof(f40,plain,
    ! [X0,X1] : double_divide(multiply(inverse(X1),X1),inverse(X0)) = X0,
    inference(superposition,[],[f7,f8]) ).

fof(f8,plain,
    ! [X2,X0,X1] : inverse(X0) = multiply(X2,multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),
    inference(superposition,[],[f2,f5]) ).

fof(f5,plain,
    ! [X2,X0,X1] : double_divide(multiply(multiply(inverse(X2),X0),double_divide(X0,X1)),X1) = X2,
    inference(forward_demodulation,[],[f4,f2]) ).

fof(f4,plain,
    ! [X2,X0,X1] : double_divide(multiply(inverse(double_divide(X0,inverse(X2))),double_divide(X0,X1)),X1) = X2,
    inference(forward_demodulation,[],[f1,f2]) ).

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

fof(f7,plain,
    ! [X2,X3,X0,X1] : double_divide(multiply(multiply(inverse(X3),multiply(multiply(inverse(X0),X1),double_divide(X1,X2))),X0),X2) = X3,
    inference(superposition,[],[f5,f5]) ).

fof(f463,plain,
    ! [X0,X1] : double_divide(inverse(X1),inverse(multiply(inverse(X1),X0))) = X0,
    inference(superposition,[],[f220,f239]) ).

fof(f239,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(X1),multiply(inverse(X0),X1)),
    inference(superposition,[],[f2,f220]) ).

fof(f220,plain,
    ! [X3,X0] : double_divide(multiply(inverse(X3),X0),inverse(X0)) = X3,
    inference(forward_demodulation,[],[f197,f8]) ).

fof(f197,plain,
    ! [X2,X3,X0,X1] : double_divide(multiply(inverse(X3),X0),multiply(X2,multiply(multiply(inverse(X0),X1),double_divide(X1,X2)))) = X3,
    inference(superposition,[],[f172,f5]) ).

fof(f172,plain,
    ! [X2,X3,X1] : double_divide(multiply(inverse(X3),double_divide(X2,X1)),multiply(X1,X2)) = X3,
    inference(forward_demodulation,[],[f159,f53]) ).

fof(f159,plain,
    ! [X2,X3,X0,X1] : double_divide(multiply(multiply(inverse(X3),multiply(inverse(X0),X0)),double_divide(X2,X1)),multiply(X1,X2)) = X3,
    inference(superposition,[],[f5,f47]) ).

fof(f47,plain,
    ! [X2,X0,X1] : double_divide(X0,X1) = double_divide(multiply(inverse(X2),X2),multiply(X1,X0)),
    inference(superposition,[],[f40,f2]) ).

fof(f360,plain,
    ! [X0] : a2 != multiply(inverse(multiply(inverse(X0),X0)),a2),
    inference(superposition,[],[f326,f53]) ).

fof(f326,plain,
    ! [X0] : a2 != multiply(multiply(inverse(X0),X0),a2),
    inference(superposition,[],[f3,f283]) ).

fof(f283,plain,
    ! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
    inference(superposition,[],[f236,f57]) ).

fof(f236,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
    inference(superposition,[],[f220,f53]) ).

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GRP590-1 : TPTP v8.2.0. Released v2.6.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.30  % Computer : n010.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Sun May 19 04:53:07 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.11/0.30  % (18422)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (18425)WARNING: value z3 for option sas not known
% 0.15/0.32  % (18424)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32  % (18425)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.32  % (18426)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  % (18428)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.33  TRYING [4]
% 0.15/0.33  % (18427)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.34  % (18423)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.34  TRYING [1]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  % (18425)First to succeed.
% 0.15/0.34  % (18425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18422"
% 0.15/0.34  % (18425)Refutation found. Thanks to Tanya!
% 0.15/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.34  % (18425)------------------------------
% 0.15/0.34  % (18425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.34  % (18425)Termination reason: Refutation
% 0.15/0.34  
% 0.15/0.34  % (18425)Memory used [KB]: 1172
% 0.15/0.34  % (18425)Time elapsed: 0.024 s
% 0.15/0.34  % (18425)Instructions burned: 48 (million)
% 0.15/0.34  % (18422)Success in time 0.038 s
%------------------------------------------------------------------------------