TSTP Solution File: LCL046-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL046-1 : 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 : n023.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 17:38:00 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (  11   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(resolution,[],[f15,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).

fof(f15,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(not(a),X0),a)),
    inference(resolution,[],[f14,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).

fof(f14,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(a,X0))
      | ~ is_a_theorem(implies(X0,a)) ),
    inference(resolution,[],[f2,f8]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,implies(a,a))))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f6,f1]) ).

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

fof(f6,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(a,a)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_16) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : LCL046-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 01:52:20 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  % (23965)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.50  % (23967)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51  % (23993)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51  % (23967)First to succeed.
% 0.21/0.51  % (23965)Also succeeded, but the first one will report.
% 0.21/0.51  % (23967)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  % (23967)------------------------------
% 0.21/0.51  % (23967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (23967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (23967)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (23967)Memory used [KB]: 5756
% 0.21/0.51  % (23967)Time elapsed: 0.085 s
% 0.21/0.51  % (23967)Instructions burned: 2 (million)
% 0.21/0.51  % (23967)------------------------------
% 0.21/0.51  % (23967)------------------------------
% 0.21/0.51  % (23959)Success in time 0.146 s
%------------------------------------------------------------------------------