TSTP Solution File: SYN137-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN137-1 : 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 : n028.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 12:09:02 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   37 (  19 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   61 (  31   ~;  30   |;   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   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1684,plain,
    $false,
    inference(subsumption_resolution,[],[f1683,f369]) ).

fof(f369,axiom,
    ~ m3(b,c,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1683,plain,
    m3(b,c,b),
    inference(subsumption_resolution,[],[f1681,f1635]) ).

fof(f1635,plain,
    s2(c),
    inference(resolution,[],[f1628,f620]) ).

fof(f620,plain,
    ! [X5] :
      ( ~ q2(b,X5,b)
      | s2(X5) ),
    inference(subsumption_resolution,[],[f227,f379]) ).

fof(f379,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

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

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f227,axiom,
    ! [X5] :
      ( ~ s1(b)
      | s2(X5)
      | ~ q2(b,X5,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).

fof(f1628,plain,
    q2(b,c,b),
    inference(resolution,[],[f1615,f371]) ).

fof(f371,plain,
    k1(b),
    inference(resolution,[],[f39,f7]) ).

fof(f7,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f1615,plain,
    ! [X0] :
      ( ~ k1(X0)
      | q2(X0,c,X0) ),
    inference(resolution,[],[f1614,f1132]) ).

fof(f1132,plain,
    ! [X8,X7] :
      ( ~ l2(X8,X7)
      | ~ k1(X8)
      | q2(X7,c,X8) ),
    inference(subsumption_resolution,[],[f221,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f221,axiom,
    ! [X8,X7] :
      ( ~ l0(c)
      | ~ k1(X8)
      | ~ l2(X8,X7)
      | q2(X7,c,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_183) ).

fof(f1614,plain,
    ! [X0] : l2(X0,X0),
    inference(resolution,[],[f1596,f14]) ).

fof(f1596,plain,
    ! [X0,X1] :
      ( ~ p0(X1,X1)
      | l2(X0,X0) ),
    inference(resolution,[],[f1547,f19]) ).

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

fof(f1547,plain,
    ! [X3,X10,X11,X6] :
      ( ~ m0(X6,X11,X3)
      | l2(X3,X3)
      | ~ p0(X10,X10) ),
    inference(subsumption_resolution,[],[f171,f502]) ).

fof(f502,plain,
    ! [X0] : s1(X0),
    inference(resolution,[],[f495,f379]) ).

fof(f495,plain,
    ! [X0,X1] :
      ( ~ s1(X1)
      | s1(X0) ),
    inference(resolution,[],[f164,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | s1(X9)
      | ~ s1(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ s1(X11)
      | ~ p0(X10,X10)
      | l2(X3,X3)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

fof(f1681,plain,
    ( ~ s2(c)
    | m3(b,c,b) ),
    inference(resolution,[],[f1677,f275]) ).

fof(f275,axiom,
    ! [X3] :
      ( ~ q2(X3,c,c)
      | ~ s2(c)
      | m3(X3,c,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_237) ).

fof(f1677,plain,
    q2(b,c,c),
    inference(resolution,[],[f1640,f372]) ).

fof(f372,plain,
    k1(c),
    inference(resolution,[],[f39,f26]) ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f1640,plain,
    ! [X0] :
      ( ~ k1(X0)
      | q2(b,c,X0) ),
    inference(resolution,[],[f1638,f1132]) ).

fof(f1638,plain,
    ! [X0] : l2(X0,b),
    inference(resolution,[],[f1617,f11]) ).

fof(f11,axiom,
    n0(e,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f1617,plain,
    ! [X0,X1] :
      ( ~ n0(e,X0)
      | l2(X1,X0) ),
    inference(resolution,[],[f1614,f1126]) ).

fof(f1126,plain,
    ! [X8,X7] :
      ( ~ l2(X8,X8)
      | ~ n0(e,X8)
      | l2(X7,X8) ),
    inference(subsumption_resolution,[],[f169,f502]) ).

fof(f169,axiom,
    ! [X8,X7] :
      ( ~ s1(X7)
      | ~ n0(e,X8)
      | ~ l2(X8,X8)
      | l2(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_131) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN137-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 17:23:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (22704)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (22709)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (22705)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (22706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (22707)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)
% 0.14/0.37  % (22710)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (22708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (22711)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)
% 0.14/0.38  % (22709)First to succeed.
% 0.14/0.38  % (22709)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22704"
% 0.14/0.38  % (22709)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (22709)------------------------------
% 0.14/0.38  % (22709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (22709)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (22709)Memory used [KB]: 1400
% 0.14/0.38  % (22709)Time elapsed: 0.015 s
% 0.14/0.38  % (22709)Instructions burned: 34 (million)
% 0.14/0.38  % (22704)Success in time 0.033 s
%------------------------------------------------------------------------------