TSTP Solution File: GRP028-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 11:50:32 EDT 2024

% Result   : Unsatisfiable 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(resolution,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X0] : ~ product(not_identity(X0),X0,not_identity(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

fof(f9,plain,
    ! [X0,X1] : product(X0,right_solution(X1,X1),X0),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : product(X0,right_solution(X0,X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).

fof(f7,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,X1,X0)
      | product(X2,X1,X2) ),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : product(left_solution(X0,X1),X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ product(left_solution(X0,X1),X2,X3)
      | ~ product(X0,X4,X2)
      | product(X1,X4,X3) ),
    inference(resolution,[],[f1,f2]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X1,X2)
      | ~ product(X0,X4,X5)
      | ~ product(X1,X3,X4)
      | product(X2,X3,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP028-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 04:28:48 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (23085)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (23086)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.38  TRYING [3]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  % (23092)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  % (23087)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  % (23089)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (23090)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [5]
% 0.22/0.39  % (23091)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39  TRYING [4]
% 0.22/0.39  % (23090)First to succeed.
% 0.22/0.39  TRYING [4]
% 0.22/0.39  % (23088)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.40  % (23091)Also succeeded, but the first one will report.
% 0.22/0.40  TRYING [4]
% 0.22/0.40  % (23090)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  % (23090)------------------------------
% 0.22/0.40  % (23090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (23090)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (23090)Memory used [KB]: 743
% 0.22/0.40  % (23090)Time elapsed: 0.004 s
% 0.22/0.40  % (23090)Instructions burned: 2 (million)
% 0.22/0.40  % (23090)------------------------------
% 0.22/0.40  % (23090)------------------------------
% 0.22/0.40  % (23085)Success in time 0.019 s
%------------------------------------------------------------------------------