TSTP Solution File: GRP521-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP521-1 : 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 : n009.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 21:31:15 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 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    :    6 (   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   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f262,plain,
    $false,
    inference(subsumption_resolution,[],[f255,f175]) ).

fof(f175,plain,
    ! [X0,X1] : divide(X1,X1) = multiply(inverse(X0),X0),
    inference(superposition,[],[f151,f5]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[],[f2,f3]) ).

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

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(f151,plain,
    ! [X2,X1] : divide(X2,X2) = divide(X1,X1),
    inference(superposition,[],[f122,f122]) ).

fof(f122,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(multiply(X1,inverse(X1))),
    inference(forward_demodulation,[],[f110,f5]) ).

fof(f110,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(divide(X1,inverse(inverse(X1)))),
    inference(superposition,[],[f91,f7]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(inverse(X1)) = multiply(divide(X0,X0),X1),
    inference(superposition,[],[f5,f3]) ).

fof(f91,plain,
    ! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
    inference(forward_demodulation,[],[f90,f5]) ).

fof(f90,plain,
    ! [X2,X1] : inverse(divide(X1,divide(X2,inverse(X1)))) = X2,
    inference(forward_demodulation,[],[f67,f3]) ).

fof(f67,plain,
    ! [X2,X0,X1] : inverse(divide(X1,divide(X2,divide(divide(X0,X0),X1)))) = X2,
    inference(superposition,[],[f1,f3]) ).

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

fof(f255,plain,
    ! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
    inference(superposition,[],[f4,f175]) ).

fof(f4,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP521-1 : TPTP v8.2.0. Released v2.6.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 04:23:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (3685)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (3693)WARNING: value z3 for option sas not known
% 0.14/0.37  % (3693)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)
% 0.14/0.37  % (3692)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (3695)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)
% 0.14/0.37  % (3697)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)
% 0.14/0.37  % (3694)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (3691)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.38  % (3696)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)
% 0.14/0.38  TRYING [4]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (3697)First to succeed.
% 0.14/0.38  % (3693)Also succeeded, but the first one will report.
% 0.14/0.38  % (3697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3685"
% 0.14/0.38  % (3697)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (3697)------------------------------
% 0.14/0.38  % (3697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (3697)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (3697)Memory used [KB]: 850
% 0.14/0.38  % (3697)Time elapsed: 0.010 s
% 0.14/0.38  % (3697)Instructions burned: 14 (million)
% 0.14/0.38  % (3685)Success in time 0.024 s
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