TSTP Solution File: KLE059+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KLE059+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 13:11:49 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f93,plain,
    $false,
    inference(trivial_inequality_removal,[],[f92]) ).

fof(f92,plain,
    domain(sK1) != domain(sK1),
    inference(forward_demodulation,[],[f82,f29]) ).

fof(f29,plain,
    sK1 = addition(sK0,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ( domain(sK1) != addition(domain(sK0),domain(sK1))
    & sK1 = addition(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).

fof(f27,plain,
    ( ? [X0,X1] :
        ( domain(X1) != addition(domain(X0),domain(X1))
        & addition(X0,X1) = X1 )
   => ( domain(sK1) != addition(domain(sK0),domain(sK1))
      & sK1 = addition(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1] :
      ( domain(X1) != addition(domain(X0),domain(X1))
      & addition(X0,X1) = X1 ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1] :
        ( addition(X0,X1) = X1
       => domain(X1) = addition(domain(X0),domain(X1)) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4] :
        ( addition(X3,X4) = X4
       => domain(X4) = addition(domain(X3),domain(X4)) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4] :
      ( addition(X3,X4) = X4
     => domain(X4) = addition(domain(X3),domain(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f82,plain,
    domain(sK1) != domain(addition(sK0,sK1)),
    inference(superposition,[],[f30,f42]) ).

fof(f42,plain,
    ! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] : addition(domain(X0),domain(X1)) = domain(addition(X0,X1)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain5) ).

fof(f30,plain,
    domain(sK1) != addition(domain(sK0),domain(sK1)),
    inference(cnf_transformation,[],[f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KLE059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n006.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   : Tue Apr 30 04:56:05 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (8796)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (8799)WARNING: value z3 for option sas not known
% 0.20/0.37  % (8800)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37  % (8802)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37  % (8799)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (8803)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37  % (8801)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.37  % (8798)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  % (8803)First to succeed.
% 0.20/0.37  % (8802)Also succeeded, but the first one will report.
% 0.20/0.37  TRYING [3]
% 0.20/0.37  % (8797)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37  % (8799)Also succeeded, but the first one will report.
% 0.20/0.37  % (8803)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (8803)------------------------------
% 0.20/0.37  % (8803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.37  % (8803)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (8803)Memory used [KB]: 851
% 0.20/0.37  % (8803)Time elapsed: 0.004 s
% 0.20/0.37  % (8803)Instructions burned: 6 (million)
% 0.20/0.37  % (8803)------------------------------
% 0.20/0.37  % (8803)------------------------------
% 0.20/0.37  % (8796)Success in time 0.018 s
%------------------------------------------------------------------------------