TSTP Solution File: NUM001-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 17:56:32 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   8 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   6   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(subsumption_resolution,[],[f64,f41]) ).

fof(f41,plain,
    ! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(X2,add(X0,X1))),
    inference(unit_resulting_resolution,[],[f3,f4,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ equalish(X1,X2)
      | ~ equalish(X0,X1)
      | equalish(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).

fof(f4,axiom,
    ! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition) ).

fof(f3,axiom,
    ! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).

fof(f64,plain,
    ~ equalish(add(c,add(a,b)),add(b,add(c,a))),
    inference(unit_resulting_resolution,[],[f4,f35,f2]) ).

fof(f35,plain,
    ~ equalish(add(c,add(a,b)),add(add(b,c),a)),
    inference(unit_resulting_resolution,[],[f3,f16,f2]) ).

fof(f16,plain,
    ~ equalish(add(c,add(a,b)),add(a,add(b,c))),
    inference(unit_resulting_resolution,[],[f13,f3,f2]) ).

fof(f13,axiom,
    ~ equalish(add(add(a,b),c),add(a,add(b,c))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 05:44:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (11148)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.50  % (11132)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)
% 0.19/0.50  % (11132)Instruction limit reached!
% 0.19/0.50  % (11132)------------------------------
% 0.19/0.50  % (11132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (11132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (11132)Termination reason: Unknown
% 0.19/0.50  % (11132)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (11132)Memory used [KB]: 5884
% 0.19/0.50  % (11132)Time elapsed: 0.099 s
% 0.19/0.50  % (11132)Instructions burned: 5 (million)
% 0.19/0.50  % (11132)------------------------------
% 0.19/0.50  % (11132)------------------------------
% 0.19/0.50  % (11131)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51  % (11130)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (11120)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (11142)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)
% 0.19/0.51  % (11140)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (11140)First to succeed.
% 0.19/0.52  % (11140)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (11140)------------------------------
% 0.19/0.52  % (11140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11140)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (11140)Memory used [KB]: 1407
% 0.19/0.52  % (11140)Time elapsed: 0.113 s
% 0.19/0.52  % (11140)Instructions burned: 3 (million)
% 0.19/0.52  % (11140)------------------------------
% 0.19/0.52  % (11140)------------------------------
% 0.19/0.52  % (11119)Success in time 0.172 s
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