TSTP Solution File: BOO004-4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : BOO004-4 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 18:58:43 EDT 2024

% Result   : Unsatisfiable 0.18s 0.37s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f149,plain,
    $false,
    inference(trivial_inequality_removal,[],[f148]) ).

fof(f148,plain,
    a != a,
    inference(superposition,[],[f9,f135]) ).

fof(f135,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(forward_demodulation,[],[f122,f5]) ).

fof(f5,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).

fof(f122,plain,
    ! [X0] : add(X0,additive_identity) = add(X0,X0),
    inference(superposition,[],[f50,f8]) ).

fof(f8,axiom,
    ! [X0] : additive_identity = multiply(X0,inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).

fof(f50,plain,
    ! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
    inference(forward_demodulation,[],[f40,f6]) ).

fof(f6,axiom,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).

fof(f40,plain,
    ! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
    inference(superposition,[],[f3,f7]) ).

fof(f7,axiom,
    ! [X0] : multiplicative_identity = add(X0,inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).

fof(f3,axiom,
    ! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).

fof(f9,axiom,
    a != add(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_plus_a_is_a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : BOO004-4 : TPTP v8.2.0. Released v1.1.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sat May 18 14:22:22 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.18/0.32  % (29455)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.33  % (29456)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.34  % (29460)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)
% 0.18/0.35  TRYING [1]
% 0.18/0.35  TRYING [2]
% 0.18/0.35  % (29462)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)
% 0.18/0.35  % (29457)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.35  TRYING [3]
% 0.18/0.36  TRYING [1]
% 0.18/0.36  TRYING [2]
% 0.18/0.36  % (29461)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)
% 0.18/0.36  TRYING [3]
% 0.18/0.36  % (29459)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36  % (29462)First to succeed.
% 0.18/0.36  TRYING [1]
% 0.18/0.36  % (29462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29455"
% 0.18/0.36  TRYING [2]
% 0.18/0.36  % (29458)WARNING: value z3 for option sas not known
% 0.18/0.36  TRYING [3]
% 0.18/0.37  % (29462)Refutation found. Thanks to Tanya!
% 0.18/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.37  % (29462)------------------------------
% 0.18/0.37  % (29462)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.37  % (29462)Termination reason: Refutation
% 0.18/0.37  
% 0.18/0.37  % (29462)Memory used [KB]: 832
% 0.18/0.37  % (29462)Time elapsed: 0.013 s
% 0.18/0.37  % (29462)Instructions burned: 8 (million)
% 0.18/0.37  % (29455)Success in time 0.041 s
%------------------------------------------------------------------------------