TSTP Solution File: BOO075-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : BOO075-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 10:42:13 EDT 2024

% Result   : Unsatisfiable 0.14s 0.41s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f693,plain,
    $false,
    inference(trivial_inequality_removal,[],[f657]) ).

fof(f657,plain,
    a != a,
    inference(superposition,[],[f2,f632]) ).

fof(f632,plain,
    ! [X0,X1] : nand(nand(X0,X0),nand(X1,X0)) = X0,
    inference(forward_demodulation,[],[f594,f105]) ).

fof(f105,plain,
    ! [X0] : nand(X0,X0) = nand(X0,nand(nand(X0,X0),X0)),
    inference(forward_demodulation,[],[f90,f10]) ).

fof(f10,plain,
    ! [X3,X0,X1] : nand(nand(X1,nand(nand(X3,X1),X1)),nand(X3,nand(X0,nand(nand(X1,X0),X0)))) = X3,
    inference(superposition,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0))) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sh_1) ).

fof(f4,plain,
    ! [X2,X3,X0,X1] : nand(nand(nand(X1,nand(X2,X0)),nand(nand(X3,nand(X1,nand(X2,X0))),nand(X1,nand(X2,X0)))),nand(X3,X1)) = X3,
    inference(superposition,[],[f1,f1]) ).

fof(f90,plain,
    ! [X0] : nand(X0,nand(nand(X0,X0),X0)) = nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X0),
    inference(superposition,[],[f41,f73]) ).

fof(f73,plain,
    ! [X0,X1] : nand(nand(X1,nand(nand(X0,X1),X1)),nand(X0,nand(nand(X0,X0),X0))) = X0,
    inference(forward_demodulation,[],[f54,f10]) ).

fof(f54,plain,
    ! [X0,X1] : nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))) = nand(nand(X1,nand(nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X1),X1)),nand(X0,nand(nand(X0,X0),X0))),
    inference(superposition,[],[f41,f1]) ).

fof(f41,plain,
    ! [X0,X1] : nand(X0,nand(nand(X0,X0),X0)) = nand(nand(X1,nand(nand(nand(X0,nand(nand(X0,X0),X0)),X1),X1)),X0),
    inference(superposition,[],[f10,f1]) ).

fof(f594,plain,
    ! [X0,X1] : nand(nand(X0,nand(nand(X0,X0),X0)),nand(X1,X0)) = X0,
    inference(superposition,[],[f1,f196]) ).

fof(f196,plain,
    ! [X0,X1] : nand(X1,X0) = nand(X0,nand(nand(nand(nand(X1,X0),nand(X1,X0)),X0),X0)),
    inference(forward_demodulation,[],[f195,f113]) ).

fof(f113,plain,
    ! [X0] : nand(nand(X0,X0),nand(X0,X0)) = X0,
    inference(superposition,[],[f73,f105]) ).

fof(f195,plain,
    ! [X0,X1] : nand(X0,nand(nand(nand(nand(X1,X0),nand(X1,X0)),X0),X0)) = nand(nand(nand(X1,X0),nand(X1,X0)),nand(nand(X1,X0),nand(X1,X0))),
    inference(forward_demodulation,[],[f194,f105]) ).

fof(f194,plain,
    ! [X0,X1] : nand(X0,nand(nand(nand(nand(X1,X0),nand(X1,X0)),X0),X0)) = nand(nand(nand(X1,X0),nand(nand(nand(X1,X0),nand(X1,X0)),nand(X1,X0))),nand(nand(X1,X0),nand(X1,X0))),
    inference(forward_demodulation,[],[f165,f105]) ).

fof(f165,plain,
    ! [X0,X1] : nand(X0,nand(nand(nand(nand(X1,X0),nand(nand(nand(X1,X0),nand(X1,X0)),nand(X1,X0))),X0),X0)) = nand(nand(nand(X1,X0),nand(nand(nand(X1,X0),nand(nand(nand(X1,X0),nand(X1,X0)),nand(X1,X0))),nand(X1,X0))),nand(nand(X1,X0),nand(nand(nand(X1,X0),nand(X1,X0)),nand(X1,X0)))),
    inference(superposition,[],[f5,f41]) ).

fof(f5,plain,
    ! [X2,X0,X1] : nand(X0,nand(nand(X1,X0),X0)) = nand(nand(nand(X2,X0),nand(nand(nand(X0,nand(nand(X1,X0),X0)),nand(X2,X0)),nand(X2,X0))),X1),
    inference(superposition,[],[f1,f1]) ).

fof(f2,axiom,
    a != nand(nand(a,a),nand(b,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_meredith_2_basis_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : BOO075-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n012.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   : Tue Apr 30 02:16:56 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (9706)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (9709)WARNING: value z3 for option sas not known
% 0.14/0.38  % (9707)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (9708)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  % (9710)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (9709)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  % (9711)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  % (9712)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)
% 0.14/0.38  % (9713)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  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [4]
% 0.14/0.39  TRYING [4]
% 0.14/0.40  TRYING [5]
% 0.14/0.41  % (9709)First to succeed.
% 0.14/0.41  % (9709)Refutation found. Thanks to Tanya!
% 0.14/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41  % (9709)------------------------------
% 0.14/0.41  % (9709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.41  % (9709)Termination reason: Refutation
% 0.14/0.41  
% 0.14/0.41  % (9709)Memory used [KB]: 1179
% 0.14/0.41  % (9709)Time elapsed: 0.034 s
% 0.14/0.41  % (9709)Instructions burned: 61 (million)
% 0.14/0.41  % (9709)------------------------------
% 0.14/0.41  % (9709)------------------------------
% 0.14/0.41  % (9706)Success in time 0.05 s
%------------------------------------------------------------------------------