TSTP Solution File: SYN252-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN252-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n005.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 : Sat Sep  2 14:25:16 EDT 2023

% Result   : Unsatisfiable 0.23s 0.48s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   51 (  23 unt;   0 def)
%            Number of atoms       :   98 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   95 (  48   ~;  47   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   75 (;  75   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3534,plain,
    $false,
    inference(resolution,[],[f3531,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ m4(X0,d),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',prove_this) ).

fof(f3531,plain,
    ! [X0,X1] : m4(X0,X1),
    inference(resolution,[],[f3421,f1675]) ).

fof(f1675,plain,
    ! [X0] : l2(X0,X0),
    inference(resolution,[],[f1665,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_14) ).

fof(f1665,plain,
    ! [X0,X1] :
      ( ~ p0(X1,X1)
      | l2(X0,X0) ),
    inference(resolution,[],[f1623,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_19) ).

fof(f1623,plain,
    ! [X3,X10,X11,X6] :
      ( ~ m0(X6,X11,X3)
      | l2(X3,X3)
      | ~ p0(X10,X10) ),
    inference(subsumption_resolution,[],[f171,f516]) ).

fof(f516,plain,
    ! [X0] : s1(X0),
    inference(resolution,[],[f501,f379]) ).

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

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_125) ).

fof(f501,plain,
    ! [X0,X1] :
      ( ~ s1(X1)
      | s1(X0) ),
    inference(resolution,[],[f164,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_17) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | s1(X9)
      | ~ s1(X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_126) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ s1(X11)
      | ~ p0(X10,X10)
      | l2(X3,X3)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_133) ).

fof(f3421,plain,
    ! [X2,X0,X1] :
      ( ~ l2(X0,X1)
      | m4(X2,X1) ),
    inference(resolution,[],[f3407,f317]) ).

fof(f317,axiom,
    ! [X8,X9,X4] :
      ( ~ s3(a,X8)
      | ~ l2(X4,X9)
      | m4(X8,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_279) ).

fof(f3407,plain,
    ! [X0] : s3(a,X0),
    inference(resolution,[],[f3401,f2409]) ).

fof(f2409,plain,
    ! [X0,X1] :
      ( ~ s2(X0)
      | s3(X0,X1) ),
    inference(resolution,[],[f2350,f19]) ).

fof(f2350,plain,
    ! [X2,X0,X1] :
      ( ~ m0(X0,X2,X1)
      | s3(X0,X1)
      | ~ s2(X0) ),
    inference(resolution,[],[f311,f625]) ).

fof(f625,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(subsumption_resolution,[],[f219,f475]) ).

fof(f475,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_085) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_181) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( ~ q2(X10,X2,X10)
      | s3(X2,X3)
      | ~ m0(X10,X11,X3)
      | ~ s2(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_273) ).

fof(f3401,plain,
    s2(a),
    inference(resolution,[],[f3398,f626]) ).

fof(f626,plain,
    ! [X5] :
      ( ~ q2(b,X5,b)
      | s2(X5) ),
    inference(subsumption_resolution,[],[f227,f379]) ).

fof(f227,axiom,
    ! [X5] :
      ( ~ s1(b)
      | s2(X5)
      | ~ q2(b,X5,b) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_189) ).

fof(f3398,plain,
    q2(b,a,b),
    inference(resolution,[],[f3312,f2174]) ).

fof(f2174,plain,
    ! [X1] : n1(a,X1,X1),
    inference(subsumption_resolution,[],[f2173,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_20) ).

fof(f2173,plain,
    ! [X1] :
      ( ~ l0(a)
      | n1(a,X1,X1) ),
    inference(resolution,[],[f2161,f386]) ).

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

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_37) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_002) ).

fof(f2161,plain,
    ! [X10,X9] :
      ( ~ l1(X9,a)
      | ~ l0(X9)
      | n1(a,X10,X10) ),
    inference(resolution,[],[f92,f1142]) ).

fof(f1142,plain,
    ! [X0] : n1(a,X0,a),
    inference(resolution,[],[f1141,f20]) ).

fof(f1141,plain,
    ! [X8,X7] :
      ( ~ l0(X7)
      | n1(X7,X8,X7) ),
    inference(subsumption_resolution,[],[f1140,f14]) ).

fof(f1140,plain,
    ! [X8,X7] :
      ( ~ l0(X7)
      | ~ p0(b,X8)
      | n1(X7,X8,X7) ),
    inference(subsumption_resolution,[],[f88,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_5) ).

fof(f88,axiom,
    ! [X8,X7] :
      ( ~ s0(b)
      | ~ l0(X7)
      | ~ p0(b,X8)
      | n1(X7,X8,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_050) ).

fof(f92,axiom,
    ! [X8,X9,X4] :
      ( ~ n1(X8,X9,X8)
      | ~ l1(X4,X8)
      | ~ l0(X4)
      | n1(X8,X9,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_054) ).

fof(f3312,plain,
    ! [X3] :
      ( ~ n1(X3,b,b)
      | q2(b,X3,b) ),
    inference(subsumption_resolution,[],[f3291,f396]) ).

fof(f396,plain,
    p1(b,b,b),
    inference(resolution,[],[f106,f32]) ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',axiom_32) ).

fof(f106,axiom,
    ! [X7] :
      ( ~ k0(X7)
      | p1(X7,X7,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_068) ).

fof(f3291,plain,
    ! [X3] :
      ( ~ n1(X3,b,b)
      | ~ p1(b,b,b)
      | q2(b,X3,b) ),
    inference(resolution,[],[f220,f959]) ).

fof(f959,plain,
    ! [X1] : q2(X1,b,b),
    inference(resolution,[],[f957,f32]) ).

fof(f957,plain,
    ! [X8,X9] :
      ( ~ k0(X9)
      | q2(X8,X9,X9) ),
    inference(subsumption_resolution,[],[f215,f475]) ).

fof(f215,axiom,
    ! [X8,X9] :
      ( ~ k0(X9)
      | ~ p1(X8,X8,X8)
      | q2(X8,X9,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_177) ).

fof(f220,axiom,
    ! [X9,X4,X5] :
      ( ~ q2(X4,X5,X9)
      | ~ n1(X4,X9,X5)
      | ~ p1(X9,X9,X5)
      | q2(X9,X4,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.clZFRbpHwW/Vampire---4.8_25323',rule_182) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN252-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 15:56:38 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.42  % (25559)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (25592)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.44  % (25593)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.23/0.44  % (25594)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 Vampire---4 for (476ds/0Mi)
% 0.23/0.44  % (25596)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.23/0.44  % (25595)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44  % (25597)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.23/0.44  % (25598)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.23/0.45  Detected minimum model sizes of [1]
% 0.23/0.45  Detected maximum model sizes of [5]
% 0.23/0.45  Detected minimum model sizes of [1]
% 0.23/0.45  Detected maximum model sizes of [5]
% 0.23/0.45  TRYING [1]
% 0.23/0.45  TRYING [1]
% 0.23/0.45  Detected minimum model sizes of [1]
% 0.23/0.45  Detected maximum model sizes of [5]
% 0.23/0.45  TRYING [1]
% 0.23/0.45  Detected minimum model sizes of [1]
% 0.23/0.45  Detected maximum model sizes of [5]
% 0.23/0.45  TRYING [2]
% 0.23/0.45  TRYING [1]
% 0.23/0.46  TRYING [2]
% 0.23/0.46  TRYING [2]
% 0.23/0.46  TRYING [2]
% 0.23/0.46  TRYING [3]
% 0.23/0.47  TRYING [3]
% 0.23/0.47  TRYING [3]
% 0.23/0.47  TRYING [3]
% 0.23/0.48  % (25596)First to succeed.
% 0.23/0.48  % (25596)Refutation found. Thanks to Tanya!
% 0.23/0.48  % SZS status Unsatisfiable for Vampire---4
% 0.23/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48  % (25596)------------------------------
% 0.23/0.48  % (25596)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48  % (25596)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48  % (25596)Termination reason: Refutation
% 0.23/0.48  
% 0.23/0.48  % (25596)Memory used [KB]: 2302
% 0.23/0.48  % (25596)Time elapsed: 0.042 s
% 0.23/0.48  % (25596)------------------------------
% 0.23/0.48  % (25596)------------------------------
% 0.23/0.48  % (25559)Success in time 0.109 s
% 0.23/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------