TSTP Solution File: COL080-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL080-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 : Mon May 20 19:06:22 EDT 2024

% Result   : Unsatisfiable 10.47s 1.90s
% Output   : Refutation 10.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35248,plain,
    $false,
    inference(unit_resulting_resolution,[],[f12,f35135,f1250]) ).

fof(f1250,plain,
    ! [X0,X1] :
      ( apply(X1,n(k(X0),X1)) != X0
      | k(X0) = X1 ),
    inference(superposition,[],[f9,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : apply(k(X0),X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).

fof(f35135,plain,
    ! [X0,X1] : apply(apply(abstraction,apply(abstraction,k(X0))),X1) = X0,
    inference(unit_resulting_resolution,[],[f8161,f9]) ).

fof(f8161,plain,
    ! [X2,X0,X1] : apply(X0,X1) = apply(apply(apply(abstraction,apply(abstraction,k(X0))),X2),X1),
    inference(forward_demodulation,[],[f8132,f1]) ).

fof(f8132,plain,
    ! [X2,X0,X1] : apply(apply(apply(abstraction,apply(abstraction,k(X0))),X2),X1) = apply(X0,apply(k(X1),apply(X2,X1))),
    inference(superposition,[],[f2814,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).

fof(f2814,plain,
    ! [X2,X0,X1] : apply(apply(apply(abstraction,k(X0)),X2),X1) = apply(X0,apply(X2,X1)),
    inference(superposition,[],[f6,f1]) ).

fof(f12,axiom,
    k(b) != apply(abstraction,apply(abstraction,k(b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_TRC2b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL080-1 : TPTP v8.2.0. Released v1.2.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n003.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Sat May 18 13:11:38 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.37  % (3642)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (3647)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)
% 0.13/0.38  % (3646)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (3645)WARNING: value z3 for option sas not known
% 0.13/0.38  % (3644)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (3648)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)
% 0.13/0.38  % (3649)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)
% 0.13/0.38  % (3643)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  TRYING [1]
% 0.13/0.38  % (3645)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)
% 0.13/0.38  TRYING [2]
% 0.13/0.39  TRYING [3]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [4]
% 0.13/0.40  TRYING [3]
% 0.20/0.41  TRYING [5]
% 0.20/0.43  TRYING [4]
% 0.20/0.46  TRYING [6]
% 0.20/0.55  TRYING [5]
% 0.20/0.59  TRYING [7]
% 3.74/0.90  TRYING [8]
% 7.73/1.48  TRYING [1]
% 7.73/1.48  TRYING [2]
% 7.73/1.49  TRYING [3]
% 7.73/1.49  TRYING [4]
% 8.09/1.52  TRYING [5]
% 8.37/1.56  TRYING [6]
% 8.37/1.59  TRYING [6]
% 9.37/1.70  TRYING [9]
% 9.97/1.78  TRYING [7]
% 10.47/1.89  % (3649)First to succeed.
% 10.47/1.90  % (3649)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3642"
% 10.47/1.90  % (3649)Refutation found. Thanks to Tanya!
% 10.47/1.90  % SZS status Unsatisfiable for theBenchmark
% 10.47/1.90  % SZS output start Proof for theBenchmark
% See solution above
% 10.47/1.90  % (3649)------------------------------
% 10.47/1.90  % (3649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.47/1.90  % (3649)Termination reason: Refutation
% 10.47/1.90  
% 10.47/1.90  % (3649)Memory used [KB]: 14902
% 10.47/1.90  % (3649)Time elapsed: 1.516 s
% 10.47/1.90  % (3649)Instructions burned: 2449 (million)
% 10.47/1.90  % (3642)Success in time 1.518 s
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