TSTP Solution File: COL010-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n009.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 04:45:33 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f61,plain,
    $false,
    inference(equality_resolution,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) != apply(apply(apply(s2,apply(b,combinator)),X1),X0),
    inference(superposition,[],[f3,f10]) ).

fof(f10,plain,
    ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,X2))) = apply(apply(apply(s2,apply(b,X0)),X2),X1),
    inference(superposition,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

fof(f2,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s2,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_definition) ).

fof(f3,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n009.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 18:31:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (3331)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (3335)WARNING: value z3 for option sas not known
% 0.14/0.37  % (3335)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  % (3335)First to succeed.
% 0.14/0.38  % (3335)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3331"
% 0.14/0.38  % (3336)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (3335)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (3335)------------------------------
% 0.14/0.38  % (3335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (3335)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (3335)Memory used [KB]: 831
% 0.14/0.38  % (3335)Time elapsed: 0.005 s
% 0.14/0.38  % (3335)Instructions burned: 7 (million)
% 0.14/0.38  % (3331)Success in time 0.016 s
%------------------------------------------------------------------------------