TSTP Solution File: NUM020-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n017.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 17:56:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f60,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1,f23,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( equalish(successor(X0),successor(X1))
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_substitution) ).

fof(f23,plain,
    ~ equalish(successor(add(a,n0)),successor(a)),
    inference(unit_resulting_resolution,[],[f2,f11,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X4] :
      ( ~ equalish(X3,X4)
      | equalish(X2,X4)
      | ~ equalish(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f11,axiom,
    ~ equalish(add(a,successor(n0)),successor(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',deny_addition_lemma) ).

fof(f2,axiom,
    ! [X0,X1] : equalish(add(X0,successor(X1)),successor(add(X0,X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',addition) ).

fof(f1,axiom,
    ! [X0] : equalish(add(X0,n0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',adding_zero) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13  % 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 : n017.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   : Tue Aug 30 05:14:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (5493)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)
% 0.20/0.50  % (5491)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)
% 0.20/0.50  % (5485)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (5493)Instruction limit reached!
% 0.20/0.51  % (5493)------------------------------
% 0.20/0.51  % (5493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (5493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (5493)Termination reason: Unknown
% 0.20/0.51  % (5493)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (5493)Memory used [KB]: 5756
% 0.20/0.51  % (5493)Time elapsed: 0.110 s
% 0.20/0.51  % (5493)Instructions burned: 3 (million)
% 0.20/0.51  % (5493)------------------------------
% 0.20/0.51  % (5493)------------------------------
% 0.20/0.51  % (5487)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)
% 0.20/0.51  % (5498)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51  % (5504)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.51  % (5489)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)
% 0.20/0.51  % (5489)First to succeed.
% 0.20/0.51  % (5509)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (5489)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (5489)------------------------------
% 0.20/0.52  % (5489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (5489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (5489)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (5489)Memory used [KB]: 5756
% 0.20/0.52  % (5489)Time elapsed: 0.116 s
% 0.20/0.52  % (5489)Instructions burned: 3 (million)
% 0.20/0.52  % (5489)------------------------------
% 0.20/0.52  % (5489)------------------------------
% 0.20/0.52  % (5481)Success in time 0.168 s
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