TSTP Solution File: SYN567-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN567-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n010.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 19:27:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   36 (  18   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-1 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f65,f36]) ).

fof(f36,plain,
    ! [X1] : p5(X1,f8(f6(X1))),
    inference(resolution,[],[f25,f3]) ).

fof(f3,axiom,
    ! [X2] : p5(f8(f6(X2)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ p5(X1,X0)
      | p5(X0,X1) ),
    inference(resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X1] : p5(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_2) ).

fof(f14,axiom,
    ! [X1,X16,X15] :
      ( ~ p5(X1,X16)
      | p5(X15,X16)
      | ~ p5(X1,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_14) ).

fof(f65,plain,
    ~ p5(c9,f8(f6(c9))),
    inference(resolution,[],[f64,f31]) ).

fof(f31,plain,
    ! [X2,X1] :
      ( p2(f6(X1),f6(X2))
      | ~ p5(X2,X1) ),
    inference(resolution,[],[f20,f10]) ).

fof(f10,axiom,
    ! [X10,X9] :
      ( p2(f6(X9),f6(X10))
      | ~ p5(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f13,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f13,axiom,
    ! [X0,X14,X13] :
      ( ~ p2(X0,X14)
      | p2(X13,X14)
      | ~ p2(X0,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).

fof(f64,plain,
    ~ p2(f6(f8(f6(c9))),f6(c9)),
    inference(subsumption_resolution,[],[f63,f6]) ).

fof(f6,axiom,
    ~ p2(f6(c9),f3(f7(f7(f4(c10))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_6) ).

fof(f63,plain,
    ( ~ p2(f6(f8(f6(c9))),f6(c9))
    | p2(f6(c9),f3(f7(f7(f4(c10))))) ),
    inference(subsumption_resolution,[],[f62,f4]) ).

fof(f4,axiom,
    ~ p2(f6(c9),f3(f4(c10))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_4) ).

fof(f62,plain,
    ( ~ p2(f6(f8(f6(c9))),f6(c9))
    | p2(f6(c9),f3(f4(c10)))
    | p2(f6(c9),f3(f7(f7(f4(c10))))) ),
    inference(subsumption_resolution,[],[f58,f5]) ).

fof(f5,axiom,
    ~ p2(f6(c9),f3(f7(f4(c10)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_5) ).

fof(f58,plain,
    ( p2(f6(c9),f3(f7(f4(c10))))
    | p2(f6(c9),f3(f4(c10)))
    | p2(f6(c9),f3(f7(f7(f4(c10)))))
    | ~ p2(f6(f8(f6(c9))),f6(c9)) ),
    inference(resolution,[],[f19,f12]) ).

fof(f12,axiom,
    ~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_12) ).

fof(f19,axiom,
    ! [X17] :
      ( p2(X17,f3(f7(f7(f7(f4(c10))))))
      | p2(X17,f3(f4(c10)))
      | ~ p2(f6(f8(X17)),X17)
      | p2(X17,f3(f7(f4(c10))))
      | p2(X17,f3(f7(f7(f4(c10))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN567-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n010.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 22:01:13 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  % (18839)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (18839)First to succeed.
% 0.20/0.50  % (18839)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (18839)------------------------------
% 0.20/0.50  % (18839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (18839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (18839)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (18839)Memory used [KB]: 5884
% 0.20/0.50  % (18839)Time elapsed: 0.091 s
% 0.20/0.50  % (18839)Instructions burned: 3 (million)
% 0.20/0.50  % (18839)------------------------------
% 0.20/0.50  % (18839)------------------------------
% 0.20/0.50  % (18831)Success in time 0.142 s
%------------------------------------------------------------------------------