TSTP Solution File: LCL117-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL117-1 : 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 17:38:58 EDT 2022

% Result   : Unsatisfiable 0.15s 0.48s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19,plain,
    $false,
    inference(resolution,[],[f16,f3]) ).

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

fof(f16,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X2,X1))),
    inference(resolution,[],[f15,f6]) ).

fof(f6,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X3,X2)))),
    inference(resolution,[],[f4,f2]) ).

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

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

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

fof(f15,plain,
    ! [X10,X8,X9] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X8,X9),equivalent(X8,X9)),X10))
      | is_a_theorem(X10) ),
    inference(resolution,[],[f8,f1]) ).

fof(f8,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(resolution,[],[f6,f5]) ).

fof(f5,plain,
    ! [X3,X6,X4,X5] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X5,X4),equivalent(X5,X3))),X6))
      | is_a_theorem(X6) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : LCL117-1 : 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
% 0.09/0.31  % Computer : n025.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit   : 300
% 0.09/0.31  % WCLimit    : 300
% 0.09/0.31  % DateTime   : Tue Aug 30 01:46:14 EDT 2022
% 0.09/0.31  % CPUTime    : 
% 0.15/0.46  % (9400)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.46  % (9401)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)
% 0.15/0.46  % (9407)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.47  % (9407)First to succeed.
% 0.15/0.47  % (9408)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.47  % (9416)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.15/0.47  % (9423)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)
% 0.15/0.47  % (9401)Refutation not found, incomplete strategy% (9401)------------------------------
% 0.15/0.47  % (9401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (9401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (9401)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47  
% 0.15/0.47  % (9401)Memory used [KB]: 5756
% 0.15/0.47  % (9401)Time elapsed: 0.101 s
% 0.15/0.47  % (9401)Instructions burned: 2 (million)
% 0.15/0.47  % (9401)------------------------------
% 0.15/0.47  % (9401)------------------------------
% 0.15/0.48  % (9408)Also succeeded, but the first one will report.
% 0.15/0.48  % (9407)Refutation found. Thanks to Tanya!
% 0.15/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48  % (9407)------------------------------
% 0.15/0.48  % (9407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (9407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (9407)Termination reason: Refutation
% 0.15/0.48  
% 0.15/0.48  % (9407)Memory used [KB]: 5756
% 0.15/0.48  % (9407)Time elapsed: 0.096 s
% 0.15/0.48  % (9407)Instructions burned: 2 (million)
% 0.15/0.48  % (9407)------------------------------
% 0.15/0.48  % (9407)------------------------------
% 0.15/0.48  % (9393)Success in time 0.161 s
%------------------------------------------------------------------------------