TSTP Solution File: LCL007-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL007-1 : 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_uns --cores 0 -t %d %s

% Computer : n022.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 17:37:42 EDT 2022

% Result   : Unsatisfiable 0.14s 0.47s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(subsumption_resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).

fof(f7,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(a,equivalent(b,c)))),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).

fof(f5,plain,
    ! [X0] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(X0)
      | ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f4,axiom,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : LCL007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n022.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 01:31:41 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.46  % (9097)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.46  % (9105)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.14/0.46  % (9095)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.46  % (9094)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)
% 0.14/0.46  % (9095)First to succeed.
% 0.14/0.46  % (9094)Refutation not found, incomplete strategy% (9094)------------------------------
% 0.14/0.46  % (9094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (9094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46  % (9094)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46  
% 0.14/0.46  % (9094)Memory used [KB]: 5756
% 0.14/0.46  % (9094)Time elapsed: 0.100 s
% 0.14/0.46  % (9094)Instructions burned: 1 (million)
% 0.14/0.46  % (9094)------------------------------
% 0.14/0.46  % (9094)------------------------------
% 0.14/0.47  % (9095)Refutation found. Thanks to Tanya!
% 0.14/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47  % (9095)------------------------------
% 0.14/0.47  % (9095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47  % (9095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (9095)Termination reason: Refutation
% 0.14/0.47  
% 0.14/0.47  % (9095)Memory used [KB]: 5756
% 0.14/0.47  % (9095)Time elapsed: 0.102 s
% 0.14/0.47  % (9095)Instructions burned: 2 (million)
% 0.14/0.47  % (9095)------------------------------
% 0.14/0.47  % (9095)------------------------------
% 0.14/0.47  % (9086)Success in time 0.161 s
%------------------------------------------------------------------------------