TSTP Solution File: GRP004-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.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 : Wed Aug 31 16:18:54 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f102,plain,
    $false,
    inference(resolution,[],[f87,f5]) ).

fof(f5,axiom,
    ! [X0] : ~ product(a,X0,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_inverse) ).

fof(f87,plain,
    ! [X0] : product(X0,inverse(X0),identity),
    inference(resolution,[],[f40,f2]) ).

fof(f2,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f40,plain,
    ! [X8,X9] :
      ( ~ product(identity,X9,inverse(X8))
      | product(X8,X9,identity) ),
    inference(resolution,[],[f9,f15]) ).

fof(f15,plain,
    ! [X1] : product(inverse(inverse(X1)),identity,X1),
    inference(resolution,[],[f11,f1]) ).

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

fof(f11,plain,
    ! [X2,X3,X4] :
      ( ~ product(X2,X4,X3)
      | product(inverse(X2),X3,X4) ),
    inference(resolution,[],[f6,f1]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X3,identity)
      | product(X0,X1,X2)
      | ~ product(X3,X2,X1) ),
    inference(resolution,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X2,X3,X5)
      | product(X0,X4,X5)
      | ~ product(X0,X1,X2)
      | ~ product(X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).

fof(f9,plain,
    ! [X6,X7,X4,X5] :
      ( ~ product(inverse(X7),X6,X4)
      | product(X4,X5,identity)
      | ~ product(X6,X5,X7) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ product(X0,X4,X5)
      | product(X2,X3,X5)
      | ~ product(X1,X3,X4)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:08:11 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (24726)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50  % (24736)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.50  % (24744)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51  % (24739)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.20/0.51  % (24752)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.51  % (24729)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.51  % (24752)First to succeed.
% 0.20/0.52  % (24730)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (24724)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52  % (24752)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (24752)------------------------------
% 0.20/0.52  % (24752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (24752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (24752)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (24752)Memory used [KB]: 895
% 0.20/0.52  % (24752)Time elapsed: 0.121 s
% 0.20/0.52  % (24752)Instructions burned: 6 (million)
% 0.20/0.52  % (24752)------------------------------
% 0.20/0.52  % (24752)------------------------------
% 0.20/0.52  % (24719)Success in time 0.173 s
%------------------------------------------------------------------------------