TSTP Solution File: CSR103+7 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR103+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Sun May  5 05:02:31 EDT 2024

% Result   : Theorem 16.65s 3.86s
% Output   : Refutation 16.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   30 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   30 (  14   ~;   7   |;   6   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (  18   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f166937,plain,
    $false,
    inference(resolution,[],[f104788,f163830]) ).

fof(f163830,plain,
    ! [X1] : s__instance(X1,s__UnitOfMeasure),
    inference(equality_resolution,[],[f160789]) ).

fof(f160789,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__UnitOfMeasure)
      | times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 ),
    inference(cnf_transformation,[],[f103581]) ).

fof(f103581,plain,
    ! [X0,X1] :
      ( ( ( s__MeasureFn("1",s__SquareUnitFn(X1)) = X0
          & s__instance(X1,s__UnitOfMeasure) )
        | times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 )
      & ( times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) = X0
        | s__MeasureFn("1",s__SquareUnitFn(X1)) != X0
        | ~ s__instance(X1,s__UnitOfMeasure) ) ),
    inference(flattening,[],[f103580]) ).

fof(f103580,plain,
    ! [X0,X1] :
      ( ( ( s__MeasureFn("1",s__SquareUnitFn(X1)) = X0
          & s__instance(X1,s__UnitOfMeasure) )
        | times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) != X0 )
      & ( times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) = X0
        | s__MeasureFn("1",s__SquareUnitFn(X1)) != X0
        | ~ s__instance(X1,s__UnitOfMeasure) ) ),
    inference(nnf_transformation,[],[f62827]) ).

fof(f62827,plain,
    ! [X0,X1] :
      ( ( s__MeasureFn("1",s__SquareUnitFn(X1)) = X0
        & s__instance(X1,s__UnitOfMeasure) )
    <=> times(s__MeasureFn("1",X1),s__MeasureFn("1",X1)) = X0 ),
    inference(rectify,[],[f11954]) ).

fof(f11954,axiom,
    ! [X300,X247] :
      ( ( s__MeasureFn("1",s__SquareUnitFn(X247)) = X300
        & s__instance(X247,s__UnitOfMeasure) )
    <=> times(s__MeasureFn("1",X247),s__MeasureFn("1",X247)) = X300 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_12071) ).

fof(f104788,plain,
    ! [X0] : ~ s__instance(sK2041(X0),X0),
    inference(cnf_transformation,[],[f97601]) ).

fof(f97601,plain,
    ! [X0] : ~ s__instance(sK2041(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2041])],[f76790,f97600]) ).

fof(f97600,plain,
    ! [X0] :
      ( ? [X1] : ~ s__instance(X1,X0)
     => ~ s__instance(sK2041(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f76790,plain,
    ! [X0] :
    ? [X1] : ~ s__instance(X1,X0),
    inference(ennf_transformation,[],[f55589]) ).

fof(f55589,plain,
    ~ ? [X0] :
      ! [X1] : s__instance(X1,X0),
    inference(rectify,[],[f55588]) ).

fof(f55588,negated_conjecture,
    ~ ? [X2340] :
      ! [X2341] : s__instance(X2341,X2340),
    inference(negated_conjecture,[],[f55587]) ).

fof(f55587,conjecture,
    ? [X2340] :
    ! [X2341] : s__instance(X2341,X2340),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR103+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:17:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (2080)Running in auto input_syntax mode. Trying TPTP
% 1.50/1.67  % (2087)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)
% 1.50/1.67  % (2083)WARNING: value z3 for option sas not known
% 1.50/1.67  % (2081)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.50/1.67  % (2082)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 1.50/1.67  % (2083)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)
% 1.50/1.67  % (2084)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.50/1.67  % (2085)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)
% 1.50/1.68  % (2086)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)
% 16.29/3.82  % (2087)First to succeed.
% 16.57/3.83  % (2087)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2080"
% 16.65/3.86  % (2087)Refutation found. Thanks to Tanya!
% 16.65/3.86  % SZS status Theorem for theBenchmark
% 16.65/3.86  % SZS output start Proof for theBenchmark
% See solution above
% 16.65/3.86  % (2087)------------------------------
% 16.65/3.86  % (2087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.65/3.86  % (2087)Termination reason: Refutation
% 16.65/3.86  
% 16.65/3.86  % (2087)Memory used [KB]: 136217
% 16.65/3.86  % (2087)Time elapsed: 2.162 s
% 16.65/3.86  % (2087)Instructions burned: 7549 (million)
% 16.65/3.86  % (2080)Success in time 3.474 s
%------------------------------------------------------------------------------