TSTP Solution File: LCL013-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL013-1 : 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 : n002.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 17:46:34 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   4 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f8,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_um) ).

fof(f8,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
    inference(resolution,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xgf) ).

fof(f6,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
      | is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
    inference(resolution,[],[f5,f2]) ).

fof(f5,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X2,equivalent(X0,X1)))
      | ~ is_a_theorem(X0)
      | is_a_theorem(equivalent(X1,X2)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f4,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0)))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 01:41:13 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (1588)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.50  TRYING [1]
% 0.21/0.50  TRYING [2]
% 0.21/0.50  TRYING [3]
% 0.21/0.50  % (1605)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.21/0.50  % (1605)First to succeed.
% 0.21/0.50  % (1593)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)
% 0.21/0.50  % (1597)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.21/0.51  % (1586)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.51  % (1593)Also succeeded, but the first one will report.
% 0.21/0.51  % (1605)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (1605)------------------------------
% 0.21/0.51  % (1605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (1605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (1605)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (1605)Memory used [KB]: 5373
% 0.21/0.51  % (1605)Time elapsed: 0.061 s
% 0.21/0.51  % (1605)Instructions burned: 1 (million)
% 0.21/0.51  % (1605)------------------------------
% 0.21/0.51  % (1605)------------------------------
% 0.21/0.51  % (1577)Success in time 0.156 s
%------------------------------------------------------------------------------