TSTP Solution File: GRP029-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP029-2 : 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_uns --cores 0 -t %d %s

% Computer : n002.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 16:13:46 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f101,plain,
    $false,
    inference(subsumption_resolution,[],[f89,f48]) ).

fof(f48,plain,
    ! [X0] : product(inverse(inverse(X0)),identity,X0),
    inference(unit_resulting_resolution,[],[f14,f15,f15,f12]) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X0,X5,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X4,X2,X3)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).

fof(f15,axiom,
    ! [X6] : product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f14,axiom,
    ! [X6] : product(identity,X6,X6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f89,plain,
    ~ product(inverse(inverse(not_right_identity(identity))),identity,not_right_identity(identity)),
    inference(unit_resulting_resolution,[],[f15,f14,f60,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( product(X4,X2,X3)
      | ~ product(X1,X2,X5)
      | ~ product(X0,X5,X3)
      | ~ product(X0,X1,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).

fof(f60,plain,
    ~ product(not_right_identity(identity),inverse(not_right_identity(identity)),identity),
    inference(unit_resulting_resolution,[],[f15,f14,f16,f12]) ).

fof(f16,axiom,
    ! [X6] : ~ product(not_right_identity(X6),X6,not_right_identity(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP029-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:21:28 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (22673)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (22665)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53  % (22666)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53  % (22665)Instruction limit reached!
% 0.19/0.53  % (22665)------------------------------
% 0.19/0.53  % (22665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22673)First to succeed.
% 0.19/0.53  % (22665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (22665)Termination reason: Unknown
% 0.19/0.53  % (22665)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (22665)Memory used [KB]: 5884
% 0.19/0.53  % (22665)Time elapsed: 0.112 s
% 0.19/0.53  % (22665)Instructions burned: 4 (million)
% 0.19/0.53  % (22665)------------------------------
% 0.19/0.53  % (22665)------------------------------
% 0.19/0.53  % (22673)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (22673)------------------------------
% 0.19/0.53  % (22673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (22673)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (22673)Memory used [KB]: 5884
% 0.19/0.53  % (22673)Time elapsed: 0.119 s
% 0.19/0.53  % (22673)Instructions burned: 5 (million)
% 0.19/0.53  % (22673)------------------------------
% 0.19/0.53  % (22673)------------------------------
% 0.19/0.53  % (22662)Success in time 0.179 s
%------------------------------------------------------------------------------