TSTP Solution File: FLD065-3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : FLD065-3 : 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 : n001.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 16:06:00 EDT 2022

% Result   : Unsatisfiable 1.55s 0.57s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(subsumption_resolution,[],[f101,f31]) ).

fof(f31,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(unit_resulting_resolution,[],[f27,f4]) ).

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

fof(f101,plain,
    ~ sum(additive_inverse(a),a,additive_identity),
    inference(unit_resulting_resolution,[],[f29,f28,f30,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(f30,plain,
    sum(additive_identity,a,a),
    inference(unit_resulting_resolution,[],[f27,f3]) ).

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

fof(f28,axiom,
    less_or_equal(additive_inverse(a),additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_2) ).

fof(f29,axiom,
    ~ less_or_equal(additive_identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : FLD065-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13  % 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 : n001.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 21:05:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (32340)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.55  % (32334)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.55  % (32348)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.56  % (32356)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.56  % (32356)First to succeed.
% 0.19/0.56  % (32349)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)
% 0.19/0.57  TRYING [1]
% 0.19/0.57  TRYING [2]
% 0.19/0.57  % (32349)Instruction limit reached!
% 0.19/0.57  % (32349)------------------------------
% 0.19/0.57  % (32349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (32349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (32349)Termination reason: Unknown
% 0.19/0.57  % (32349)Termination phase: Finite model building SAT solving
% 0.19/0.57  
% 0.19/0.57  % (32349)Memory used [KB]: 6012
% 0.19/0.57  % (32349)Time elapsed: 0.133 s
% 0.19/0.57  % (32349)Instructions burned: 6 (million)
% 0.19/0.57  % (32349)------------------------------
% 0.19/0.57  % (32349)------------------------------
% 0.19/0.57  % (32341)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)
% 1.55/0.57  % (32356)Refutation found. Thanks to Tanya!
% 1.55/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.55/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.57  % (32356)------------------------------
% 1.55/0.57  % (32356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.57  % (32356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.57  % (32356)Termination reason: Refutation
% 1.55/0.57  
% 1.55/0.57  % (32356)Memory used [KB]: 5884
% 1.55/0.57  % (32356)Time elapsed: 0.145 s
% 1.55/0.57  % (32356)Instructions burned: 3 (million)
% 1.55/0.57  % (32356)------------------------------
% 1.55/0.57  % (32356)------------------------------
% 1.55/0.57  % (32333)Success in time 0.224 s
%------------------------------------------------------------------------------