TSTP Solution File: FLD067-4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 16:07:01 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   25 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f110,plain,
    $false,
    inference(subsumption_resolution,[],[f106,f32]) ).

fof(f32,axiom,
    ~ less_or_equal(additive_identity,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_6) ).

fof(f106,plain,
    less_or_equal(additive_identity,u),
    inference(resolution,[],[f97,f43]) ).

fof(f43,plain,
    sum(a,sF0,additive_identity),
    inference(resolution,[],[f38,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X5] :
      ( ~ sum(X0,X3,X5)
      | sum(X3,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).

fof(f38,plain,
    sum(sF0,a,additive_identity),
    inference(subsumption_resolution,[],[f37,f27]) ).

fof(f27,axiom,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

fof(f37,plain,
    ( sum(sF0,a,additive_identity)
    | ~ defined(a) ),
    inference(superposition,[],[f4,f33]) ).

fof(f33,plain,
    additive_inverse(a) = sF0,
    introduced(function_definition,[]) ).

fof(f4,axiom,
    ! [X0] :
      ( sum(additive_inverse(X0),X0,additive_identity)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).

fof(f97,plain,
    ! [X0] :
      ( ~ sum(a,sF0,X0)
      | less_or_equal(X0,u) ),
    inference(resolution,[],[f82,f34]) ).

fof(f34,plain,
    sum(b,sF0,u),
    inference(definition_folding,[],[f31,f33]) ).

fof(f31,axiom,
    sum(b,additive_inverse(a),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).

fof(f82,plain,
    ! [X2,X0,X1] :
      ( ~ sum(b,X0,X1)
      | ~ sum(a,X0,X2)
      | less_or_equal(X2,X1) ),
    inference(resolution,[],[f24,f30]) ).

fof(f30,axiom,
    less_or_equal(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).

fof(f24,axiom,
    ! [X3,X0,X1,X4,X5] :
      ( ~ less_or_equal(X0,X3)
      | ~ sum(X3,X5,X1)
      | ~ sum(X0,X5,X4)
      | less_or_equal(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n022.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   : Mon Aug 29 20:46:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.53  % (7051)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53  % (7034)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (7043)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (7035)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (7035)Instruction limit reached!
% 0.20/0.54  % (7035)------------------------------
% 0.20/0.54  % (7035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.55  TRYING [3]
% 0.20/0.55  % (7043)First to succeed.
% 0.20/0.55  % (7042)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 (2999ds/68Mi)
% 0.20/0.55  % (7050)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (7035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (7035)Termination reason: Unknown
% 0.20/0.55  % (7035)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (7035)Memory used [KB]: 5500
% 0.20/0.55  % (7035)Time elapsed: 0.126 s
% 0.20/0.55  % (7035)Instructions burned: 7 (million)
% 0.20/0.55  % (7035)------------------------------
% 0.20/0.55  % (7035)------------------------------
% 0.20/0.55  % (7051)Also succeeded, but the first one will report.
% 0.20/0.55  % (7043)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (7043)------------------------------
% 0.20/0.55  % (7043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (7043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (7043)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (7043)Memory used [KB]: 1023
% 0.20/0.55  % (7043)Time elapsed: 0.128 s
% 0.20/0.55  % (7043)Instructions burned: 6 (million)
% 0.20/0.55  % (7043)------------------------------
% 0.20/0.55  % (7043)------------------------------
% 0.20/0.55  % (7027)Success in time 0.2 s
%------------------------------------------------------------------------------