TSTP Solution File: GRP019-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP019-1 : 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_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 16:13:43 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   13 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f11]) ).

fof(f11,plain,
    a != sF0,
    inference(definition_folding,[],[f9,f10]) ).

fof(f10,plain,
    multiply(identity,a) = sF0,
    introduced(function_definition,[]) ).

fof(f9,axiom,
    a != multiply(identity,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_id_times_X_is_X) ).

fof(f24,plain,
    a = sF0,
    inference(backward_demodulation,[],[f10,f22]) ).

fof(f22,plain,
    ! [X1] : multiply(identity,X1) = X1,
    inference(resolution,[],[f13,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : product(X0,X1,multiply(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ product(identity,X1,X0)
      | X0 = X1 ),
    inference(resolution,[],[f6,f1]) ).

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

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | X2 = X3
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:19:58 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (16851)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)
% 0.18/0.50  % (16853)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50  % (16848)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50  % (16848)First to succeed.
% 0.18/0.51  % (16862)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.51  % (16853)Also succeeded, but the first one will report.
% 0.18/0.51  % (16864)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (16879)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.18/0.51  % (16879)Refutation not found, incomplete strategy% (16879)------------------------------
% 0.18/0.51  % (16879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16879)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (16879)Memory used [KB]: 5756
% 0.18/0.51  % (16879)Time elapsed: 0.125 s
% 0.18/0.51  % (16879)Instructions burned: 1 (million)
% 0.18/0.51  % (16879)------------------------------
% 0.18/0.51  % (16879)------------------------------
% 0.18/0.51  % (16848)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (16848)------------------------------
% 0.18/0.51  % (16848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (16848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (16848)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (16848)Memory used [KB]: 5756
% 0.18/0.51  % (16848)Time elapsed: 0.111 s
% 0.18/0.51  % (16848)Instructions burned: 2 (million)
% 0.18/0.51  % (16848)------------------------------
% 0.18/0.51  % (16848)------------------------------
% 0.18/0.51  % (16845)Success in time 0.17 s
%------------------------------------------------------------------------------