TSTP Solution File: COM018+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COM018+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 : n008.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 10:47:05 EDT 2024

% Result   : Theorem 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  10 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  21   ~;  15   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (  14   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f178,plain,
    $false,
    inference(resolution,[],[f177,f108]) ).

fof(f108,plain,
    aElement0(xw),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ( sdtmndtasgtdt0(xv,xR,xw)
    & sdtmndtasgtdt0(xu,xR,xw)
    & aElement0(xw) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).

fof(f177,plain,
    ~ aElement0(xw),
    inference(resolution,[],[f175,f99]) ).

fof(f99,plain,
    aRewritingSystem0(xR),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,axiom,
    aRewritingSystem0(xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).

fof(f175,plain,
    ( ~ aRewritingSystem0(xR)
    | ~ aElement0(xw) ),
    inference(resolution,[],[f172,f101]) ).

fof(f101,plain,
    isTerminating0(xR),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ( isTerminating0(xR)
    & isLocallyConfluent0(xR) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).

fof(f172,plain,
    ( ~ isTerminating0(xR)
    | ~ aElement0(xw)
    | ~ aRewritingSystem0(xR) ),
    inference(resolution,[],[f151,f98]) ).

fof(f98,plain,
    ! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] : ~ aNormalFormOfIn0(X0,xw,xR),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,negated_conjecture,
    ~ ? [X0] : aNormalFormOfIn0(X0,xw,xR),
    inference(negated_conjecture,[],[f23]) ).

fof(f23,conjecture,
    ? [X0] : aNormalFormOfIn0(X0,xw,xR),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f151,plain,
    ! [X0,X1] :
      ( aNormalFormOfIn0(sK19(X0,X1),X1,X0)
      | ~ aElement0(X1)
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ! [X1] :
          ( aNormalFormOfIn0(sK19(X0,X1),X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f39,f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
     => aNormalFormOfIn0(sK19(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(flattening,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( ! [X1] :
          ( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
          | ~ aElement0(X1) )
      | ~ isTerminating0(X0)
      | ~ aRewritingSystem0(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ( isTerminating0(X0)
        & aRewritingSystem0(X0) )
     => ! [X1] :
          ( aElement0(X1)
         => ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n008.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 05:08:12 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (5631)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (5634)WARNING: value z3 for option sas not known
% 0.13/0.37  % (5633)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (5635)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (5636)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)
% 0.13/0.37  % (5632)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (5637)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)
% 0.13/0.37  % (5634)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)
% 0.13/0.37  % (5638)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)
% 0.13/0.37  % (5637)First to succeed.
% 0.13/0.38  TRYING [1]
% 0.13/0.38  TRYING [1]
% 0.13/0.38  % (5637)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Theorem for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (5637)------------------------------
% 0.13/0.38  % (5637)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38  % (5637)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (5637)Memory used [KB]: 919
% 0.13/0.38  % (5637)Time elapsed: 0.006 s
% 0.13/0.38  % (5637)Instructions burned: 7 (million)
% 0.13/0.38  % (5637)------------------------------
% 0.13/0.38  % (5637)------------------------------
% 0.13/0.38  % (5631)Success in time 0.022 s
%------------------------------------------------------------------------------