TSTP Solution File: SWV377+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 10:51:36 EDT 2024

% Result   : Theorem 0.14s 0.39s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   31 (   6 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  15   ~;   2   |;   4   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   44 (  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f203,plain,
    $false,
    inference(resolution,[],[f198,f150]) ).

fof(f150,plain,
    ok(insert_cpq(triple(sK0,sK1,bad),sK3)),
    inference(backward_demodulation,[],[f92,f147]) ).

fof(f147,plain,
    bad = sK2,
    inference(resolution,[],[f115,f91]) ).

fof(f91,plain,
    ~ ok(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ ok(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f83]) ).

fof(f83,plain,
    ( ? [X0,X1,X2,X3] :
        ( ok(insert_cpq(triple(X0,X1,X2),X3))
        & ~ ok(triple(X0,X1,X2)) )
   => ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
      & ~ ok(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0,X1,X2,X3] :
      ( ok(insert_cpq(triple(X0,X1,X2),X3))
      & ~ ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ~ ok(triple(X0,X1,X2))
       => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ~ ok(triple(X0,X1,X2))
     => ~ ok(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l13_co) ).

fof(f115,plain,
    ! [X2,X0,X1] :
      ( ok(triple(X0,X1,X2))
      | bad = X2 ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( bad = X2
      | ok(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ~ ok(triple(X0,X1,X2))
     => bad = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).

fof(f92,plain,
    ok(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f84]) ).

fof(f198,plain,
    ! [X2,X0,X1] : ~ ok(insert_cpq(triple(X0,X2,bad),X1)),
    inference(superposition,[],[f109,f117]) ).

fof(f117,plain,
    ! [X2,X3,X0,X1] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).

fof(f109,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n004.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 20:55:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (16508)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (16511)WARNING: value z3 for option sas not known
% 0.14/0.38  % (16510)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (16512)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (16513)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)
% 0.14/0.38  % (16509)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (16511)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)
% 0.14/0.38  % (16515)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)
% 0.14/0.38  % (16514)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)
% 0.14/0.39  % (16514)First to succeed.
% 0.14/0.39  TRYING [1]
% 0.14/0.39  % (16514)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16508"
% 0.14/0.39  % (16514)Refutation found. Thanks to Tanya!
% 0.14/0.39  % SZS status Theorem for theBenchmark
% 0.14/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39  % (16514)------------------------------
% 0.14/0.39  % (16514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39  % (16514)Termination reason: Refutation
% 0.14/0.39  
% 0.14/0.39  % (16514)Memory used [KB]: 960
% 0.14/0.39  % (16514)Time elapsed: 0.009 s
% 0.14/0.39  % (16514)Instructions burned: 10 (million)
% 0.14/0.39  % (16508)Success in time 0.014 s
%------------------------------------------------------------------------------