TSTP Solution File: LCL189-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL189-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 : Sun May  5 07:44:22 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f145,plain,
    $false,
    inference(resolution,[],[f140,f44]) ).

fof(f44,plain,
    ~ theorem(or(not(q),q)),
    inference(resolution,[],[f33,f20]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f5,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ axiom(or(not(X4),X3))
      | theorem(X3)
      | ~ theorem(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f33,plain,
    ~ theorem(or(not(or(not(p),q)),or(not(p),q))),
    inference(resolution,[],[f17,f9]) ).

fof(f9,axiom,
    ~ theorem(or(not(p),or(not(or(not(p),q)),q))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f17,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f4,f7]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f140,plain,
    ! [X0] : theorem(or(not(X0),X0)),
    inference(resolution,[],[f62,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ axiom(or(X0,or(or(X0,X1),X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f32,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( theorem(X3)
      | ~ axiom(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(or(X0,X1),X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f17,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL189-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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   : Fri May  3 13:20:35 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.36  % (11097)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (11100)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.38  % (11098)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  % (11099)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38  % (11101)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.38  % (11102)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.38  % (11100)First to succeed.
% 0.21/0.38  % (11103)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.38  % (11100)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11097"
% 0.21/0.38  % (11104)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38  % (11100)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (11100)------------------------------
% 0.21/0.38  % (11100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (11100)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (11100)Memory used [KB]: 785
% 0.21/0.38  % (11100)Time elapsed: 0.005 s
% 0.21/0.38  % (11100)Instructions burned: 6 (million)
% 0.21/0.38  % (11097)Success in time 0.018 s
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