TSTP Solution File: SYN349-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN349-1 : 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 : 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 : Wed Aug 31 19:37:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   50 (  21   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f59,plain,
    $false,
    inference(subsumption_resolution,[],[f58,f38]) ).

fof(f38,plain,
    ! [X3] : f(w(X3),g(X3,w(X3))),
    inference(subsumption_resolution,[],[f37,f17]) ).

fof(f17,plain,
    ! [X0] :
      ( f(g(X0,w(X0)),w(X0))
      | f(w(X0),g(X0,w(X0))) ),
    inference(subsumption_resolution,[],[f14,f2]) ).

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

fof(f14,plain,
    ! [X0] :
      ( f(g(X0,w(X0)),w(X0))
      | f(w(X0),g(X0,w(X0)))
      | f(X0,g(X0,w(X0))) ),
    inference(factoring,[],[f5]) ).

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

fof(f37,plain,
    ! [X3] :
      ( ~ f(g(X3,w(X3)),w(X3))
      | f(w(X3),g(X3,w(X3))) ),
    inference(subsumption_resolution,[],[f35,f2]) ).

fof(f35,plain,
    ! [X3] :
      ( ~ f(g(X3,w(X3)),w(X3))
      | f(X3,g(X3,w(X3)))
      | f(w(X3),g(X3,w(X3))) ),
    inference(duplicate_literal_removal,[],[f33]) ).

fof(f33,plain,
    ! [X3] :
      ( f(w(X3),g(X3,w(X3)))
      | f(w(X3),g(X3,w(X3)))
      | f(X3,g(X3,w(X3)))
      | ~ f(g(X3,w(X3)),w(X3)) ),
    inference(resolution,[],[f8,f17]) ).

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

fof(f58,plain,
    ! [X3] : ~ f(w(X3),g(X3,w(X3))),
    inference(subsumption_resolution,[],[f57,f47]) ).

fof(f47,plain,
    ! [X0] : f(g(X0,w(X0)),w(X0)),
    inference(subsumption_resolution,[],[f46,f38]) ).

fof(f46,plain,
    ! [X0] :
      ( f(g(X0,w(X0)),w(X0))
      | ~ f(w(X0),g(X0,w(X0))) ),
    inference(duplicate_literal_removal,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( f(g(X0,w(X0)),w(X0))
      | ~ f(w(X0),g(X0,w(X0)))
      | f(g(X0,w(X0)),w(X0)) ),
    inference(resolution,[],[f44,f3]) ).

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

fof(f44,plain,
    ! [X0] : f(X0,g(X0,w(X0))),
    inference(resolution,[],[f38,f1]) ).

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

fof(f57,plain,
    ! [X3] :
      ( ~ f(g(X3,w(X3)),w(X3))
      | ~ f(w(X3),g(X3,w(X3))) ),
    inference(subsumption_resolution,[],[f55,f44]) ).

fof(f55,plain,
    ! [X3] :
      ( ~ f(X3,g(X3,w(X3)))
      | ~ f(w(X3),g(X3,w(X3)))
      | ~ f(g(X3,w(X3)),w(X3)) ),
    inference(resolution,[],[f10,f47]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ f(g(X0,X1),w(X0))
      | ~ f(X0,g(X0,X1))
      | ~ f(X1,g(X0,X1))
      | ~ f(g(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:47:07 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (24593)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (24607)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50  % (24593)Instruction limit reached!
% 0.19/0.50  % (24593)------------------------------
% 0.19/0.50  % (24593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (24599)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)
% 0.19/0.50  % (24593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (24593)Termination reason: Unknown
% 0.19/0.50  % (24593)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (24593)Memory used [KB]: 5373
% 0.19/0.50  % (24593)Time elapsed: 0.006 s
% 0.19/0.50  % (24593)Instructions burned: 4 (million)
% 0.19/0.50  % (24593)------------------------------
% 0.19/0.50  % (24593)------------------------------
% 0.19/0.50  % (24588)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (24594)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 (2999ds/51Mi)
% 0.19/0.50  % (24607)First to succeed.
% 0.19/0.50  % (24604)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)
% 0.19/0.50  % (24607)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (24607)------------------------------
% 0.19/0.50  % (24607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (24607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (24607)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (24607)Memory used [KB]: 895
% 0.19/0.50  % (24607)Time elapsed: 0.063 s
% 0.19/0.50  % (24607)Instructions burned: 2 (million)
% 0.19/0.50  % (24607)------------------------------
% 0.19/0.50  % (24607)------------------------------
% 0.19/0.50  % (24584)Success in time 0.16 s
%------------------------------------------------------------------------------