TSTP Solution File: SYN128-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN128-1 : 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 : n032.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 12:09:00 EDT 2024

% Result   : Unsatisfiable 0.15s 0.37s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   30 (  17 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  18   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3065,plain,
    $false,
    inference(subsumption_resolution,[],[f3064,f369]) ).

fof(f369,axiom,
    ~ l5(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f3064,plain,
    l5(c),
    inference(resolution,[],[f3035,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(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f3035,plain,
    ! [X0] :
      ( ~ k1(X0)
      | l5(X0) ),
    inference(resolution,[],[f3026,f340]) ).

fof(f340,axiom,
    ! [X2,X5] :
      ( ~ q4(X2,X2)
      | l5(X5)
      | ~ k1(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_302) ).

fof(f3026,plain,
    q4(a,a),
    inference(resolution,[],[f2998,f531]) ).

fof(f531,plain,
    q2(a,a,a),
    inference(resolution,[],[f224,f386]) ).

fof(f386,plain,
    l1(a,a),
    inference(resolution,[],[f40,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

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

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

fof(f2998,plain,
    ! [X0,X1] :
      ( ~ q2(a,X1,X0)
      | q4(X0,X1) ),
    inference(resolution,[],[f2988,f475]) ).

fof(f475,plain,
    ! [X0] : k3(X0,X0,X0),
    inference(resolution,[],[f472,f248]) ).

fof(f248,axiom,
    ! [X7] :
      ( ~ n2(X7)
      | k3(X7,X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_210) ).

fof(f472,plain,
    ! [X0] : n2(X0),
    inference(resolution,[],[f470,f175]) ).

fof(f175,axiom,
    ! [X10,X11,X6] :
      ( ~ p1(X11,X6,X10)
      | n2(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

fof(f470,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

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

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).

fof(f2988,plain,
    ! [X2,X0,X1] :
      ( ~ k3(X2,X2,X1)
      | q4(X1,X0)
      | ~ q2(a,X0,X1) ),
    inference(resolution,[],[f333,f416]) ).

fof(f416,plain,
    m3(a,a,a),
    inference(resolution,[],[f274,f405]) ).

fof(f405,plain,
    n2(a),
    inference(resolution,[],[f175,f397]) ).

fof(f397,plain,
    p1(a,a,a),
    inference(subsumption_resolution,[],[f126,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f126,axiom,
    ( ~ l0(a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).

fof(f274,axiom,
    ! [X10] :
      ( ~ n2(X10)
      | m3(X10,X10,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_236) ).

fof(f333,axiom,
    ! [X11,X8,X6,X9,X7] :
      ( ~ m3(X8,X9,X8)
      | ~ q2(X8,X6,X11)
      | q4(X11,X6)
      | ~ k3(X7,X7,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_295) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN128-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n032.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri May  3 17:14:37 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  % (16274)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35  % (16278)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35  % (16279)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35  % (16275)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35  % (16277)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)
% 0.11/0.35  % (16281)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)
% 0.11/0.35  % (16280)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.36  % (16276)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [5]
% 0.11/0.36  TRYING [1]
% 0.11/0.36  TRYING [2]
% 0.11/0.36  Detected minimum model sizes of [1]
% 0.11/0.36  Detected maximum model sizes of [5]
% 0.11/0.36  TRYING [1]
% 0.11/0.37  TRYING [1,1,1,1,1,1,1,1]
% 0.11/0.37  TRYING [2]
% 0.11/0.37  TRYING [2,1,1,1,1,1,1,1]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [3,1,1,1,1,1,1,1]
% 0.15/0.37  % (16279)First to succeed.
% 0.15/0.37  % (16279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16274"
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [1,1,1,1,1]
% 0.15/0.37  % (16279)Refutation found. Thanks to Tanya!
% 0.15/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.37  % (16279)------------------------------
% 0.15/0.37  % (16279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.37  % (16279)Termination reason: Refutation
% 0.15/0.37  
% 0.15/0.37  % (16279)Memory used [KB]: 1531
% 0.15/0.37  % (16279)Time elapsed: 0.022 s
% 0.15/0.37  % (16279)Instructions burned: 63 (million)
% 0.15/0.37  % (16274)Success in time 0.035 s
%------------------------------------------------------------------------------