TSTP Solution File: LCL044-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL044-1 : 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 : n025.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 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  14   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   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   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(subsumption_resolution,[],[f63,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

fof(f63,plain,
    ~ is_a_theorem(implies(a,implies(not(a),not(not(a))))),
    inference(resolution,[],[f29,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_21) ).

fof(f29,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(not(a),implies(a,not(not(a))))))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f25,f1]) ).

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

fof(f25,plain,
    ~ is_a_theorem(implies(not(a),implies(a,not(not(a))))),
    inference(resolution,[],[f16,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

fof(f16,plain,
    ! [X3] :
      ( ~ is_a_theorem(implies(not(X3),implies(a,not(not(a)))))
      | ~ is_a_theorem(implies(X3,implies(a,not(not(a))))) ),
    inference(resolution,[],[f10,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_54) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,implies(a,not(not(a))))))
      | ~ is_a_theorem(X0)
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(X0,implies(a,not(not(a)))))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(a,not(not(a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LCL044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 01:40:29 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.53  % (26351)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)
% 0.19/0.53  % (26351)Instruction limit reached!
% 0.19/0.53  % (26351)------------------------------
% 0.19/0.53  % (26351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (26351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (26351)Termination reason: Unknown
% 0.19/0.53  % (26351)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (26351)Memory used [KB]: 5756
% 0.19/0.53  % (26351)Time elapsed: 0.111 s
% 0.19/0.53  % (26351)Instructions burned: 3 (million)
% 0.19/0.53  % (26351)------------------------------
% 0.19/0.53  % (26351)------------------------------
% 0.19/0.54  % (26355)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.54  % (26362)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54  % (26343)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54  % (26355)Instruction limit reached!
% 0.19/0.54  % (26355)------------------------------
% 0.19/0.54  % (26355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26362)First to succeed.
% 0.19/0.54  % (26362)Refutation found. Thanks to Tanya!
% 0.19/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54  % (26362)------------------------------
% 0.19/0.54  % (26362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (26362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (26362)Termination reason: Refutation
% 0.19/0.54  
% 0.19/0.54  % (26362)Memory used [KB]: 5756
% 0.19/0.54  % (26362)Time elapsed: 0.122 s
% 0.19/0.54  % (26362)Instructions burned: 5 (million)
% 0.19/0.54  % (26362)------------------------------
% 0.19/0.54  % (26362)------------------------------
% 0.19/0.54  % (26342)Success in time 0.194 s
%------------------------------------------------------------------------------