TSTP Solution File: SYN332-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN332-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 12:09:41 EDT 2024

% Result   : Unsatisfiable 0.24s 0.42s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   32 (  12   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,plain,
    $false,
    inference(subsumption_resolution,[],[f96,f84]) ).

fof(f84,plain,
    ! [X0,X1] : f(X1,X0),
    inference(subsumption_resolution,[],[f83,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ f(X1,X0)
      | f(X0,X1) ),
    inference(subsumption_resolution,[],[f8,f58]) ).

fof(f58,plain,
    ! [X0] : f(X0,X0),
    inference(duplicate_literal_removal,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( f(X0,X0)
      | f(X0,X0)
      | f(X0,X0) ),
    inference(resolution,[],[f13,f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( f(z(X0,X1),X0)
      | f(X1,X0) ),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( f(X0,z(X0,X1))
      | f(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(z(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),X1)
      | f(X1,X0)
      | f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ f(X1,X0)
      | f(X0,X1)
      | ~ f(z(X0,X1),z(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f83,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | f(X1,X0) ),
    inference(duplicate_literal_removal,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( f(X0,X1)
      | f(X1,X0)
      | f(X0,X1) ),
    inference(resolution,[],[f70,f13]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( f(z(X0,X1),X1)
      | f(X0,X1) ),
    inference(resolution,[],[f67,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( f(X0,z(X1,X0))
      | f(X1,X0) ),
    inference(resolution,[],[f7,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( f(X0,z(X0,X1))
      | f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ f(X0,z(X0,X1))
      | f(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f96,plain,
    ! [X0,X1] : ~ f(X1,X0),
    inference(subsumption_resolution,[],[f86,f84]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ f(X0,X1)
      | ~ f(X1,X0) ),
    inference(resolution,[],[f84,f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),X1)
      | ~ f(X1,X0)
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SYN332-1 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.17  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.17/0.39  % Computer : n023.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit   : 300
% 0.17/0.39  % WCLimit    : 300
% 0.17/0.39  % DateTime   : Fri May  3 17:30:08 EDT 2024
% 0.17/0.39  % CPUTime    : 
% 0.17/0.39  % (1618)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.41  % (1622)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.24/0.41  % (1621)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)
% 0.24/0.41  % (1619)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.24/0.41  % (1623)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.24/0.41  % (1620)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.24/0.41  % (1624)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.24/0.41  % (1626)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)
% 0.24/0.41  TRYING [1]
% 0.24/0.41  TRYING [2]
% 0.24/0.41  TRYING [1]
% 0.24/0.41  TRYING [1]
% 0.24/0.41  TRYING [1]
% 0.24/0.41  TRYING [2]
% 0.24/0.41  TRYING [2]
% 0.24/0.41  TRYING [2]
% 0.24/0.41  TRYING [3]
% 0.24/0.41  TRYING [3]
% 0.24/0.41  TRYING [3]
% 0.24/0.41  TRYING [3]
% 0.24/0.41  % (1623)First to succeed.
% 0.24/0.41  % (1624)Also succeeded, but the first one will report.
% 0.24/0.41  % (1621)Also succeeded, but the first one will report.
% 0.24/0.41  % (1623)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1618"
% 0.24/0.42  TRYING [4]
% 0.24/0.42  % (1623)Refutation found. Thanks to Tanya!
% 0.24/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.24/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.42  % (1623)------------------------------
% 0.24/0.42  % (1623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.42  % (1623)Termination reason: Refutation
% 0.24/0.42  
% 0.24/0.42  % (1623)Memory used [KB]: 748
% 0.24/0.42  % (1623)Time elapsed: 0.004 s
% 0.24/0.42  % (1623)Instructions burned: 4 (million)
% 0.24/0.42  % (1618)Success in time 0.01 s
%------------------------------------------------------------------------------