TSTP Solution File: FLD070-4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : FLD070-4 : 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 : n024.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 16:07:03 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f287,plain,
    $false,
    inference(subsumption_resolution,[],[f283,f33]) ).

fof(f33,axiom,
    ~ less_or_equal(additive_identity,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_7) ).

fof(f283,plain,
    less_or_equal(additive_identity,c),
    inference(resolution,[],[f179,f31]) ).

fof(f31,axiom,
    less_or_equal(additive_identity,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_5) ).

fof(f179,plain,
    ! [X0] :
      ( ~ less_or_equal(X0,b)
      | less_or_equal(X0,c) ),
    inference(resolution,[],[f164,f22]) ).

fof(f22,axiom,
    ! [X3,X0,X5] :
      ( ~ less_or_equal(X3,X5)
      | less_or_equal(X0,X5)
      | ~ less_or_equal(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).

fof(f164,plain,
    less_or_equal(b,c),
    inference(subsumption_resolution,[],[f163,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).

fof(f163,plain,
    ( ~ defined(b)
    | less_or_equal(b,c) ),
    inference(subsumption_resolution,[],[f157,f30]) ).

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

fof(f157,plain,
    ( ~ less_or_equal(additive_identity,a)
    | less_or_equal(b,c)
    | ~ defined(b) ),
    inference(resolution,[],[f99,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f99,plain,
    ! [X21,X20] :
      ( ~ sum(X21,b,X20)
      | less_or_equal(X20,c)
      | ~ less_or_equal(X21,a) ),
    inference(resolution,[],[f24,f32]) ).

fof(f32,axiom,
    sum(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD070-4 : 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
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:47:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (20207)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 (3000ds/498Mi)
% 0.20/0.48  % (20199)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)
% 0.20/0.49  % (20186)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)
% 0.20/0.50  % (20192)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.51  % (20201)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.51  % (20192)Instruction limit reached!
% 0.20/0.51  % (20192)------------------------------
% 0.20/0.51  % (20192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (20192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (20192)Termination reason: Unknown
% 0.20/0.51  % (20192)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (20192)Memory used [KB]: 5500
% 0.20/0.51  % (20192)Time elapsed: 0.071 s
% 0.20/0.51  % (20192)Instructions burned: 8 (million)
% 0.20/0.51  % (20192)------------------------------
% 0.20/0.51  % (20192)------------------------------
% 0.20/0.51  % (20186)Refutation not found, incomplete strategy% (20186)------------------------------
% 0.20/0.51  % (20186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (20186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (20186)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (20186)Memory used [KB]: 5373
% 0.20/0.51  % (20186)Time elapsed: 0.104 s
% 0.20/0.51  % (20186)Instructions burned: 3 (million)
% 0.20/0.51  % (20186)------------------------------
% 0.20/0.51  % (20186)------------------------------
% 0.20/0.51  % (20209)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.20/0.51  % (20198)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.52  % (20209)First to succeed.
% 0.20/0.53  % (20209)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (20209)------------------------------
% 0.20/0.53  % (20209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (20209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (20209)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (20209)Memory used [KB]: 5500
% 0.20/0.53  % (20209)Time elapsed: 0.119 s
% 0.20/0.53  % (20209)Instructions burned: 14 (million)
% 0.20/0.53  % (20209)------------------------------
% 0.20/0.53  % (20209)------------------------------
% 0.20/0.53  % (20184)Success in time 0.174 s
%------------------------------------------------------------------------------