TSTP Solution File: SYN332-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN332-1 : 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 : n011.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 19:37:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   4 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  12   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(resolution,[],[f79,f38]) ).

fof(f38,plain,
    ! [X0] : ~ f(X0,z(X0,X0)),
    inference(subsumption_resolution,[],[f36,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | ~ f(X1,X0)
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f36,plain,
    ! [X0] :
      ( f(X0,X0)
      | ~ f(X0,z(X0,X0)) ),
    inference(duplicate_literal_removal,[],[f32]) ).

fof(f32,plain,
    ! [X0] :
      ( f(X0,X0)
      | f(X0,X0)
      | ~ f(X0,z(X0,X0)) ),
    inference(resolution,[],[f13,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( f(z(X0,X1),X0)
      | ~ f(X0,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),X1)
      | f(X1,X0)
      | f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).

fof(f79,plain,
    ! [X3,X4] : f(X4,X3),
    inference(subsumption_resolution,[],[f78,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ f(X1,X0)
      | f(X0,X1) ),
    inference(resolution,[],[f46,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(X0,X1))
      | f(X0,X1)
      | ~ f(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f46,plain,
    ! [X1] : f(X1,X1),
    inference(resolution,[],[f38,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( f(X0,z(X0,X1))
      | f(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f78,plain,
    ! [X3,X4] :
      ( f(X3,X4)
      | f(X4,X3) ),
    inference(duplicate_literal_removal,[],[f76]) ).

fof(f76,plain,
    ! [X3,X4] :
      ( f(X4,X3)
      | f(X3,X4)
      | f(X3,X4) ),
    inference(resolution,[],[f54,f13]) ).

fof(f54,plain,
    ! [X4,X5] :
      ( f(z(X4,X5),X5)
      | f(X4,X5) ),
    inference(resolution,[],[f51,f19]) ).

fof(f19,plain,
    ! [X2,X3] :
      ( f(X2,z(X3,X2))
      | f(X3,X2) ),
    inference(resolution,[],[f7,f1]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN332-1 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 21:41:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (10929)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (10937)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (10945)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51  % (10945)First to succeed.
% 0.20/0.52  % (10932)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 (2999ds/68Mi)
% 0.20/0.52  % (10944)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 (2999ds/68Mi)
% 0.20/0.52  % (10929)Also succeeded, but the first one will report.
% 0.20/0.52  % (10945)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (10945)------------------------------
% 0.20/0.52  % (10945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10945)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (10945)Memory used [KB]: 895
% 0.20/0.52  % (10945)Time elapsed: 0.111 s
% 0.20/0.52  % (10945)Instructions burned: 2 (million)
% 0.20/0.52  % (10945)------------------------------
% 0.20/0.52  % (10945)------------------------------
% 0.20/0.52  % (10917)Success in time 0.165 s
%------------------------------------------------------------------------------