TSTP Solution File: GRP562-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP562-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 : Tue Apr 30 12:07:33 EDT 2024

% Result   : Unsatisfiable 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f421,plain,
    $false,
    inference(trivial_inequality_removal,[],[f402]) ).

fof(f402,plain,
    a2 != a2,
    inference(superposition,[],[f3,f113]) ).

fof(f113,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
    inference(superposition,[],[f90,f2]) ).

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

fof(f90,plain,
    ! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
    inference(superposition,[],[f77,f73]) ).

fof(f73,plain,
    ! [X3,X1] : divide(multiply(X3,X1),X3) = X1,
    inference(forward_demodulation,[],[f72,f2]) ).

fof(f72,plain,
    ! [X3,X1] : divide(divide(X3,inverse(X1)),X3) = X1,
    inference(forward_demodulation,[],[f53,f4]) ).

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

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

fof(f53,plain,
    ! [X2,X3,X0,X1] : divide(divide(X3,divide(divide(multiply(X0,inverse(X1)),X2),divide(X0,X2))),X3) = X1,
    inference(superposition,[],[f7,f22]) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] : multiply(divide(multiply(divide(multiply(X0,inverse(X1)),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[],[f7,f2]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] : divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1) = X3,
    inference(superposition,[],[f4,f4]) ).

fof(f77,plain,
    ! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
    inference(superposition,[],[f4,f73]) ).

fof(f3,axiom,
    a2 != multiply(multiply(inverse(b2),b2),a2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP562-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n024.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
% 0.15/0.35  % DateTime   : Tue Apr 30 04:21:36 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (7322)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (7323)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [3]
% 0.22/0.38  % (7325)WARNING: value z3 for option sas not known
% 0.22/0.38  % (7326)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (7324)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (7328)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)
% 0.22/0.38  % (7329)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)
% 0.22/0.38  % (7327)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)
% 0.22/0.38  % (7325)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)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  TRYING [4]
% 0.22/0.40  % (7329)First to succeed.
% 0.22/0.40  % (7325)Also succeeded, but the first one will report.
% 0.22/0.40  % (7329)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (7329)------------------------------
% 0.22/0.40  % (7329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (7329)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (7329)Memory used [KB]: 936
% 0.22/0.40  % (7329)Time elapsed: 0.016 s
% 0.22/0.40  % (7329)Instructions burned: 22 (million)
% 0.22/0.40  % (7329)------------------------------
% 0.22/0.40  % (7329)------------------------------
% 0.22/0.40  % (7322)Success in time 0.043 s
%------------------------------------------------------------------------------