TSTP Solution File: GRP044-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP044-2 : 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 : n010.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 11:51:00 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f72,plain,
    $false,
    inference(subsumption_resolution,[],[f69,f10]) ).

fof(f10,axiom,
    ~ product(b,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_product_with_b) ).

fof(f69,plain,
    product(b,c,result),
    inference(resolution,[],[f49,f30]) ).

fof(f30,plain,
    product(identity,a,b),
    inference(resolution,[],[f15,f1]) ).

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

fof(f15,plain,
    ! [X0,X1] :
      ( ~ product(X0,X1,a)
      | product(X0,X1,b) ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    equalish(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ equalish(X0,X1)
      | ~ product(X3,X2,X0)
      | product(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).

fof(f49,plain,
    ! [X0] :
      ( ~ product(identity,a,X0)
      | product(X0,c,result) ),
    inference(resolution,[],[f27,f1]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ product(X0,result,X1)
      | ~ product(X0,a,X2)
      | product(X2,c,X1) ),
    inference(resolution,[],[f6,f9]) ).

fof(f9,axiom,
    product(a,c,result),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_with_a) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X1,X2,X5)
      | ~ product(X0,X5,X3)
      | ~ product(X0,X1,X4)
      | product(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP044-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Apr 30 04:18:20 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (31715)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (31717)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36  % (31719)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36  TRYING [1]
% 0.12/0.36  % (31718)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)
% 0.12/0.36  TRYING [2]
% 0.12/0.36  % (31722)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)
% 0.12/0.36  % (31720)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36  % (31721)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  TRYING [3]
% 0.12/0.36  % (31716)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36  % (31721)First to succeed.
% 0.12/0.36  TRYING [1]
% 0.12/0.36  TRYING [2]
% 0.12/0.36  % (31721)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (31721)------------------------------
% 0.12/0.36  % (31721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36  % (31721)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (31721)Memory used [KB]: 773
% 0.12/0.36  % (31721)Time elapsed: 0.004 s
% 0.12/0.36  % (31721)Instructions burned: 5 (million)
% 0.12/0.36  % (31721)------------------------------
% 0.12/0.36  % (31721)------------------------------
% 0.12/0.36  % (31715)Success in time 0.019 s
%------------------------------------------------------------------------------