TSTP Solution File: GRP165-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP165-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 05:53:49 EDT 2024

% Result   : Unsatisfiable 0.22s 0.50s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 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    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5266,plain,
    $false,
    inference(trivial_inequality_removal,[],[f5265]) ).

fof(f5265,plain,
    multiply(a,a) != multiply(a,a),
    inference(forward_demodulation,[],[f5227,f18]) ).

fof(f18,plain,
    a = least_upper_bound(identity,a),
    inference(superposition,[],[f5,f16]) ).

fof(f16,axiom,
    a = least_upper_bound(a,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lat1a_1) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f5227,plain,
    multiply(a,a) != multiply(least_upper_bound(identity,a),a),
    inference(superposition,[],[f17,f970]) ).

fof(f970,plain,
    ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f14,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monotony_lub2) ).

fof(f17,axiom,
    multiply(a,a) != least_upper_bound(a,multiply(a,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lat1a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP165-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n005.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
% 0.15/0.36  % DateTime   : Fri May  3 20:48:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (7324)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (7327)WARNING: value z3 for option sas not known
% 0.15/0.38  % (7325)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (7326)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (7328)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (7329)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)
% 0.15/0.38  % (7327)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)
% 0.15/0.38  % (7330)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)
% 0.15/0.38  % (7331)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.40  TRYING [3]
% 0.15/0.41  TRYING [4]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [3]
% 0.22/0.44  TRYING [4]
% 0.22/0.46  TRYING [4]
% 0.22/0.50  TRYING [5]
% 0.22/0.50  % (7327)First to succeed.
% 0.22/0.50  % (7327)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7324"
% 0.22/0.50  % (7327)Refutation found. Thanks to Tanya!
% 0.22/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50  % (7327)------------------------------
% 0.22/0.50  % (7327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50  % (7327)Termination reason: Refutation
% 0.22/0.50  
% 0.22/0.50  % (7327)Memory used [KB]: 2219
% 0.22/0.50  % (7327)Time elapsed: 0.127 s
% 0.22/0.50  % (7327)Instructions burned: 271 (million)
% 0.22/0.50  % (7324)Success in time 0.132 s
%------------------------------------------------------------------------------