TSTP Solution File: SYN035-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN035-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 19:36:36 EDT 2022

% Result   : Unsatisfiable 0.24s 0.52s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   22 (  13   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f1]) ).

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

fof(f8,plain,
    ! [X0,X1] : ~ p(X1,f(X0,X1)),
    inference(subsumption_resolution,[],[f7,f5]) ).

fof(f5,plain,
    ! [X0,X1] : q(X0,X1),
    inference(subsumption_resolution,[],[f4,f1]) ).

fof(f4,plain,
    ! [X0,X1] :
      ( q(X0,X1)
      | ~ p(X1,f(X0,X1)) ),
    inference(subsumption_resolution,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ p(f(X0,X1),f(X0,X1))
      | q(X0,X1)
      | ~ p(X1,f(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ q(X0,f(X0,X1))
      | ~ p(X1,f(X0,X1)) ),
    inference(subsumption_resolution,[],[f6,f1]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ p(f(X0,X1),f(X0,X1))
      | ~ q(X0,f(X0,X1))
      | ~ p(X1,f(X0,X1)) ),
    inference(subsumption_resolution,[],[f3,f5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SYN035-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.38  % Computer : n029.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 300
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Tue Aug 30 21:32:12 EDT 2022
% 0.15/0.38  % CPUTime    : 
% 0.24/0.51  % (26850)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 (3000ds/177Mi)
% 0.24/0.51  % (26847)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.24/0.52  % (26839)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.24/0.52  % (26831)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.24/0.52  % (26834)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.24/0.52  % (26842)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 (3000ds/100Mi)
% 0.24/0.52  % (26839)First to succeed.
% 0.24/0.52  % (26839)Refutation found. Thanks to Tanya!
% 0.24/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.24/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.52  % (26839)------------------------------
% 0.24/0.52  % (26839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.24/0.52  % (26839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.24/0.52  % (26839)Termination reason: Refutation
% 0.24/0.52  
% 0.24/0.52  % (26839)Memory used [KB]: 5373
% 0.24/0.52  % (26839)Time elapsed: 0.107 s
% 0.24/0.52  % (26839)Instructions burned: 1 (million)
% 0.24/0.52  % (26839)------------------------------
% 0.24/0.52  % (26839)------------------------------
% 0.24/0.52  % (26822)Success in time 0.136 s
%------------------------------------------------------------------------------