TSTP Solution File: FLD069-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD069-3 : 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_uns --cores 0 -t %d %s

% Computer : n029.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 16:06:03 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            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 :   28 (  16   ~;  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    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(subsumption_resolution,[],[f72,f28]) ).

fof(f28,axiom,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

fof(f72,plain,
    ~ defined(b),
    inference(subsumption_resolution,[],[f71,f36]) ).

fof(f36,plain,
    ~ less_or_equal(b,additive_identity),
    inference(subsumption_resolution,[],[f35,f30]) ).

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

fof(f35,plain,
    ( ~ less_or_equal(additive_identity,b)
    | ~ less_or_equal(b,additive_identity) ),
    inference(resolution,[],[f31,f21]) ).

fof(f21,axiom,
    ! [X3,X0] :
      ( sum(additive_identity,X0,X3)
      | ~ less_or_equal(X0,X3)
      | ~ less_or_equal(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).

fof(f31,axiom,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_5) ).

fof(f71,plain,
    ( less_or_equal(b,additive_identity)
    | ~ defined(b) ),
    inference(subsumption_resolution,[],[f59,f29]) ).

fof(f29,axiom,
    less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).

fof(f59,plain,
    ( ~ less_or_equal(additive_identity,a)
    | less_or_equal(b,additive_identity)
    | ~ defined(b) ),
    inference(resolution,[],[f39,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( sum(additive_identity,X0,X0)
      | ~ defined(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).

fof(f39,plain,
    ! [X3,X4] :
      ( ~ sum(X3,b,X4)
      | less_or_equal(X4,additive_identity)
      | ~ less_or_equal(X3,a) ),
    inference(resolution,[],[f32,f24]) ).

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

fof(f32,axiom,
    sum(a,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : FLD069-3 : 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_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n029.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 20:55:11 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.55  % (2947)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (2948)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57  % (2955)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.57  % (2956)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57  % (2947)First to succeed.
% 0.21/0.57  % (2948)Instruction limit reached!
% 0.21/0.57  % (2948)------------------------------
% 0.21/0.57  % (2948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (2948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (2948)Termination reason: Unknown
% 0.21/0.57  % (2948)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (2948)Memory used [KB]: 5884
% 0.21/0.57  % (2948)Time elapsed: 0.142 s
% 0.21/0.57  % (2948)Instructions burned: 3 (million)
% 0.21/0.57  % (2948)------------------------------
% 0.21/0.57  % (2948)------------------------------
% 0.21/0.57  % (2947)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (2947)------------------------------
% 0.21/0.57  % (2947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (2947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (2947)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (2947)Memory used [KB]: 5884
% 0.21/0.57  % (2947)Time elapsed: 0.134 s
% 0.21/0.57  % (2947)Instructions burned: 2 (million)
% 0.21/0.57  % (2947)------------------------------
% 0.21/0.57  % (2947)------------------------------
% 0.21/0.57  % (2939)Success in time 0.21 s
%------------------------------------------------------------------------------