TSTP Solution File: GRP540-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP540-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 : Sun May  5 06:09:24 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 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    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f225,plain,
    $false,
    inference(trivial_inequality_removal,[],[f224]) ).

fof(f224,plain,
    multiply(a,b) != multiply(a,b),
    inference(superposition,[],[f5,f114]) ).

fof(f114,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(superposition,[],[f53,f59]) ).

fof(f59,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
    inference(forward_demodulation,[],[f57,f8]) ).

fof(f8,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f7,f6]) ).

fof(f6,plain,
    ! [X0] : inverse(X0) = divide(identity,X0),
    inference(forward_demodulation,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f3,axiom,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    inference(forward_demodulation,[],[f2,f4]) ).

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

fof(f57,plain,
    ! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
    inference(superposition,[],[f1,f44]) ).

fof(f44,plain,
    ! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
    inference(forward_demodulation,[],[f35,f6]) ).

fof(f35,plain,
    ! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
    inference(superposition,[],[f1,f4]) ).

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

fof(f53,plain,
    ! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
    inference(superposition,[],[f44,f8]) ).

fof(f5,axiom,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP540-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n005.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 20:53:23 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (23608)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (23611)WARNING: value z3 for option sas not known
% 0.15/0.32  % (23612)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  % (23610)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  % (23613)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)
% 0.15/0.32  % (23611)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  % (23609)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32  % (23616)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.32  % (23614)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)
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [3]
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  TRYING [4]
% 0.15/0.32  % (23616)First to succeed.
% 0.15/0.33  % (23616)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23608"
% 0.15/0.33  % (23611)Also succeeded, but the first one will report.
% 0.15/0.33  TRYING [3]
% 0.15/0.33  % (23616)Refutation found. Thanks to Tanya!
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.33  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33  % (23616)------------------------------
% 0.15/0.33  % (23616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.33  % (23616)Termination reason: Refutation
% 0.15/0.33  
% 0.15/0.33  % (23616)Memory used [KB]: 830
% 0.15/0.33  % (23616)Time elapsed: 0.006 s
% 0.15/0.33  % (23616)Instructions burned: 10 (million)
% 0.15/0.33  % (23608)Success in time 0.021 s
%------------------------------------------------------------------------------