TSTP Solution File: SYN328-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 : Wed Aug 31 19:37:31 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   50 (  19   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f71,plain,
    $false,
    inference(resolution,[],[f51,f63]) ).

fof(f63,plain,
    ! [X1] : f(X1),
    inference(resolution,[],[f48,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ g(y(X0))
      | f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f48,plain,
    ! [X1] : g(X1),
    inference(resolution,[],[f46,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ h(y(X0))
      | g(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f46,plain,
    ! [X2] : h(X2),
    inference(subsumption_resolution,[],[f45,f37]) ).

fof(f37,plain,
    ! [X1] :
      ( ~ g(X1)
      | h(X1) ),
    inference(subsumption_resolution,[],[f34,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ h(y(X0))
      | h(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f34,plain,
    ! [X1] :
      ( h(y(X1))
      | h(X1)
      | ~ g(X1) ),
    inference(resolution,[],[f30,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ f(y(X0))
      | h(y(X0))
      | ~ g(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f30,plain,
    ! [X0] :
      ( f(y(X0))
      | h(X0) ),
    inference(resolution,[],[f29,f10]) ).

fof(f29,plain,
    ! [X1] :
      ( h(X1)
      | f(X1) ),
    inference(subsumption_resolution,[],[f28,f3]) ).

fof(f28,plain,
    ! [X1] :
      ( h(X1)
      | f(X1)
      | g(y(X1)) ),
    inference(resolution,[],[f9,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( f(y(X0))
      | f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ f(y(X0))
      | h(X0)
      | g(y(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f45,plain,
    ! [X2] :
      ( h(X2)
      | g(X2) ),
    inference(subsumption_resolution,[],[f43,f6]) ).

fof(f43,plain,
    ! [X2] :
      ( h(X2)
      | h(y(X2))
      | g(X2) ),
    inference(resolution,[],[f27,f37]) ).

fof(f27,plain,
    ! [X0] :
      ( g(y(X0))
      | g(X0)
      | h(X0) ),
    inference(resolution,[],[f9,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( f(y(X0))
      | g(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f51,plain,
    ! [X3] : ~ f(z(X3)),
    inference(subsumption_resolution,[],[f50,f40]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ f(X0)
      | g(X0) ),
    inference(subsumption_resolution,[],[f39,f6]) ).

fof(f39,plain,
    ! [X0] :
      ( g(X0)
      | ~ f(X0)
      | h(y(X0)) ),
    inference(resolution,[],[f37,f12]) ).

fof(f12,plain,
    ! [X0] :
      ( g(y(X0))
      | g(X0)
      | ~ f(X0) ),
    inference(resolution,[],[f1,f5]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ f(y(X0))
      | g(y(X0))
      | ~ f(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f50,plain,
    ! [X3] :
      ( ~ g(z(X3))
      | ~ f(z(X3)) ),
    inference(resolution,[],[f46,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ h(z(X0))
      | ~ f(z(X0))
      | ~ g(z(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN328-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.32  % Computer : n018.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue Aug 30 21:47:10 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.19/0.47  % (32434)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.48  % (32442)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.49  % (32434)First to succeed.
% 0.19/0.49  % (32425)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49  % (32416)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.49  % (32429)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49  % (32417)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.49  % (32418)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.49  % (32434)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (32434)------------------------------
% 0.19/0.49  % (32434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (32434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (32434)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (32434)Memory used [KB]: 5373
% 0.19/0.49  % (32434)Time elapsed: 0.106 s
% 0.19/0.49  % (32434)Instructions burned: 3 (million)
% 0.19/0.49  % (32434)------------------------------
% 0.19/0.49  % (32434)------------------------------
% 0.19/0.49  % (32415)Success in time 0.16 s
%------------------------------------------------------------------------------