TSTP Solution File: SYN162-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN162-1 : 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 : n029.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 : Tue Apr 30 18:02:22 EDT 2024

% Result   : Unsatisfiable 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1027,plain,
    $false,
    inference(resolution,[],[f1025,f369]) ).

fof(f369,axiom,
    ~ n5(c,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1025,plain,
    ! [X0] : n5(X0,X0),
    inference(resolution,[],[f1019,f352]) ).

fof(f352,axiom,
    ! [X11] :
      ( ~ r4(X11)
      | n5(X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_314) ).

fof(f1019,plain,
    ! [X0] : r4(X0),
    inference(resolution,[],[f1016,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

fof(f1016,plain,
    ! [X0,X1] :
      ( ~ p0(X0,X1)
      | r4(X1) ),
    inference(resolution,[],[f1015,f971]) ).

fof(f971,plain,
    q3(e,e),
    inference(subsumption_resolution,[],[f967,f30]) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

fof(f967,plain,
    ( q3(e,e)
    | ~ n0(e,e) ),
    inference(resolution,[],[f293,f530]) ).

fof(f530,plain,
    q2(e,e,e),
    inference(resolution,[],[f224,f380]) ).

fof(f380,plain,
    l1(e,e),
    inference(resolution,[],[f40,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_002) ).

fof(f224,axiom,
    ! [X4,X5] :
      ( ~ l1(X5,X4)
      | q2(X4,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).

fof(f293,axiom,
    ! [X2,X4,X5] :
      ( ~ q2(X2,X4,X5)
      | q3(X4,X5)
      | ~ n0(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).

fof(f1015,plain,
    ! [X2,X3,X4,X5] :
      ( ~ q3(X5,X2)
      | ~ p0(X3,X4)
      | r4(X4) ),
    inference(subsumption_resolution,[],[f336,f591]) ).

fof(f591,plain,
    ! [X0] : n3(X0),
    inference(resolution,[],[f585,f278]) ).

fof(f278,axiom,
    ! [X8,X9,X7] :
      ( ~ p2(X8,X9,X7)
      | n3(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).

fof(f585,plain,
    ! [X0] : p2(X0,X0,X0),
    inference(resolution,[],[f188,f545]) ).

fof(f545,plain,
    ! [X0] : m1(X0,X0,X0),
    inference(resolution,[],[f44,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f44,axiom,
    ! [X3,X10] :
      ( ~ m0(X10,X10,X3)
      | m1(X3,X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).

fof(f188,axiom,
    ! [X9,X4] :
      ( ~ m1(X4,X4,X9)
      | p2(X9,X9,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).

fof(f336,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ n3(X4)
      | r4(X4)
      | ~ p0(X3,X4)
      | ~ q3(X5,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN162-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n029.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 Apr 30 02:08:54 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (15760)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (15766)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39  % (15765)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39  % (15764)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39  % (15762)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39  % (15761)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39  % (15767)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)
% 0.14/0.39  % (15763)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)
% 0.14/0.40  % (15765)First to succeed.
% 0.14/0.40  % (15765)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (15765)------------------------------
% 0.14/0.40  % (15765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.40  % (15765)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (15765)Memory used [KB]: 1302
% 0.14/0.40  % (15765)Time elapsed: 0.012 s
% 0.14/0.40  % (15765)Instructions burned: 19 (million)
% 0.14/0.40  % (15765)------------------------------
% 0.14/0.40  % (15765)------------------------------
% 0.14/0.40  % (15760)Success in time 0.027 s
%------------------------------------------------------------------------------