TSTP Solution File: SYN205-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN205-1 : 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 : 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 12:09:15 EDT 2024

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   40 (  19 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   71 (  36   ~;  35   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3326,plain,
    $false,
    inference(resolution,[],[f3312,f369]) ).

fof(f369,axiom,
    ~ s3(a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f3312,plain,
    ! [X0] : s3(a,X0),
    inference(resolution,[],[f3306,f2348]) ).

fof(f2348,plain,
    ! [X0,X1] :
      ( ~ s2(X0)
      | s3(X0,X1) ),
    inference(resolution,[],[f2315,f19]) ).

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

fof(f2315,plain,
    ! [X2,X0,X1] :
      ( ~ m0(X0,X2,X1)
      | s3(X0,X1)
      | ~ s2(X0) ),
    inference(resolution,[],[f311,f619]) ).

fof(f619,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(subsumption_resolution,[],[f219,f470]) ).

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(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',rule_273) ).

fof(f3306,plain,
    s2(a),
    inference(resolution,[],[f3303,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(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(f3303,plain,
    q2(b,a,b),
    inference(resolution,[],[f3217,f2104]) ).

fof(f2104,plain,
    ! [X0] : n1(a,X0,X0),
    inference(subsumption_resolution,[],[f2103,f20]) ).

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

fof(f2103,plain,
    ! [X0] :
      ( ~ l0(a)
      | n1(a,X0,X0) ),
    inference(resolution,[],[f2091,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(f2091,plain,
    ! [X0,X1] :
      ( ~ l1(X0,a)
      | ~ l0(X0)
      | n1(a,X1,X1) ),
    inference(resolution,[],[f92,f1085]) ).

fof(f1085,plain,
    ! [X0] : n1(a,X0,a),
    inference(resolution,[],[f1084,f20]) ).

fof(f1084,plain,
    ! [X8,X7] :
      ( ~ l0(X7)
      | n1(X7,X8,X7) ),
    inference(subsumption_resolution,[],[f1083,f14]) ).

fof(f1083,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/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f88,axiom,
    ! [X8,X7] :
      ( ~ s0(b)
      | ~ l0(X7)
      | ~ p0(b,X8)
      | n1(X7,X8,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).

fof(f92,axiom,
    ! [X8,X9,X4] :
      ( ~ n1(X8,X9,X8)
      | ~ l1(X4,X8)
      | ~ l0(X4)
      | n1(X8,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).

fof(f3217,plain,
    ! [X0] :
      ( ~ n1(X0,b,b)
      | q2(b,X0,b) ),
    inference(subsumption_resolution,[],[f3196,f396]) ).

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

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

fof(f106,axiom,
    ! [X7] :
      ( ~ k0(X7)
      | p1(X7,X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_068) ).

fof(f3196,plain,
    ! [X0] :
      ( ~ n1(X0,b,b)
      | ~ p1(b,b,b)
      | q2(b,X0,b) ),
    inference(resolution,[],[f220,f930]) ).

fof(f930,plain,
    ! [X0] : q2(X0,b,b),
    inference(resolution,[],[f925,f32]) ).

fof(f925,plain,
    ! [X8,X9] :
      ( ~ k0(X9)
      | q2(X8,X9,X9) ),
    inference(subsumption_resolution,[],[f215,f470]) ).

fof(f215,axiom,
    ! [X8,X9] :
      ( ~ k0(X9)
      | ~ p1(X8,X8,X8)
      | q2(X8,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',rule_182) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN205-1 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n023.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   : Fri May  3 17:11:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (32417)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39  % (32418)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.39  % (32420)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)
% 0.21/0.39  % (32422)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39  % (32419)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39  % (32423)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39  % (32421)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39  % (32424)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)
% 0.21/0.41  Detected minimum model sizes of [1]
% 0.21/0.41  Detected maximum model sizes of [5]
% 0.21/0.41  TRYING [1]
% 0.21/0.41  Detected minimum model sizes of [1]
% 0.21/0.41  Detected maximum model sizes of [5]
% 0.21/0.41  TRYING [1]
% 0.21/0.41  TRYING [2]
% 0.21/0.41  TRYING [2]
% 0.21/0.41  TRYING [1,1,1,1,1,1]
% 0.21/0.42  TRYING [1,1,1,1,1,1,1,1,1]
% 0.21/0.42  TRYING [2,1,1,1,1,1]
% 0.21/0.42  TRYING [2,1,1,1,1,1,1,1,1]
% 0.21/0.42  TRYING [3]
% 0.21/0.42  TRYING [3]
% 0.21/0.42  TRYING [3,1,1,1,1,1]
% 0.21/0.43  TRYING [3,1,1,1,1,1,1,1,1]
% 0.21/0.43  % (32422)First to succeed.
% 0.21/0.43  % (32422)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32417"
% 0.21/0.43  % (32422)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (32422)------------------------------
% 0.21/0.43  % (32422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.43  % (32422)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (32422)Memory used [KB]: 1598
% 0.21/0.43  % (32422)Time elapsed: 0.039 s
% 0.21/0.43  % (32422)Instructions burned: 69 (million)
% 0.21/0.43  % (32417)Success in time 0.064 s
%------------------------------------------------------------------------------