TSTP Solution File: SYN110-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN110-1 : 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 : 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 : Tue Apr 30 18:02:13 EDT 2024

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  19   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2591,plain,
    $false,
    inference(subsumption_resolution,[],[f2587,f376]) ).

fof(f376,plain,
    k1(a),
    inference(resolution,[],[f39,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f2587,plain,
    ~ k1(a),
    inference(resolution,[],[f2586,f580]) ).

fof(f580,plain,
    ! [X0] : k2(X0,X0),
    inference(resolution,[],[f570,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( ~ q1(X10,X3,X3)
      | k2(X3,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).

fof(f570,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[],[f148,f19]) ).

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

fof(f148,axiom,
    ! [X11,X6,X7] :
      ( ~ m0(X6,X7,X11)
      | q1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_110) ).

fof(f2586,plain,
    ! [X0] :
      ( ~ k2(X0,a)
      | ~ k1(X0) ),
    inference(subsumption_resolution,[],[f2583,f369]) ).

fof(f369,axiom,
    ~ k2(c,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f2583,plain,
    ! [X0] :
      ( ~ k2(X0,a)
      | k2(c,a)
      | ~ k1(X0) ),
    inference(resolution,[],[f2581,f165]) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m1(X8,X7,X6)
      | ~ k2(X9,X7)
      | k2(X6,X7)
      | ~ k1(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).

fof(f2581,plain,
    m1(d,a,c),
    inference(resolution,[],[f2580,f33]) ).

fof(f33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).

fof(f2580,plain,
    ! [X0] :
      ( ~ q0(X0,c)
      | m1(X0,a,c) ),
    inference(resolution,[],[f2572,f389]) ).

fof(f389,plain,
    m1(c,c,c),
    inference(subsumption_resolution,[],[f58,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

fof(f58,axiom,
    ( ~ l0(c)
    | m1(c,c,c) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_020) ).

fof(f2572,plain,
    ! [X9,X4] :
      ( ~ m1(X4,c,X4)
      | ~ q0(X9,X4)
      | m1(X9,a,X4) ),
    inference(subsumption_resolution,[],[f62,f12]) ).

fof(f12,axiom,
    ! [X0] : m0(a,X0,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f62,axiom,
    ! [X9,X4,X5] :
      ( ~ q0(X9,X4)
      | ~ m0(a,X5,a)
      | ~ m1(X4,c,X4)
      | m1(X9,a,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_024) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -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   : Tue Apr 30 01:42:41 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (17705)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (17711)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39  % (17707)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39  % (17708)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)
% 0.22/0.39  % (17709)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  % (17706)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  % (17712)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)
% 0.22/0.39  % (17710)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.41  Detected minimum model sizes of [1]
% 0.22/0.41  Detected maximum model sizes of [5]
% 0.22/0.41  TRYING [1]
% 0.22/0.41  Detected minimum model sizes of [1]
% 0.22/0.41  Detected maximum model sizes of [5]
% 0.22/0.41  TRYING [1]
% 0.22/0.41  TRYING [2]
% 0.22/0.41  TRYING [2]
% 0.22/0.41  TRYING [1,1,1,1,1,1]
% 0.22/0.41  TRYING [1,1,1,1,1,1,1,1,1]
% 0.22/0.41  TRYING [2,1,1,1,1,1]
% 0.22/0.41  TRYING [2,1,1,1,1,1,1,1,1]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  % (17710)First to succeed.
% 0.22/0.42  TRYING [3,1,1,1,1,1]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [3,1,1,1,1,1,1,1,1]
% 0.22/0.42  % (17710)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42  % (17710)------------------------------
% 0.22/0.42  % (17710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42  % (17710)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (17710)Memory used [KB]: 1502
% 0.22/0.42  % (17710)Time elapsed: 0.033 s
% 0.22/0.42  % (17710)Instructions burned: 54 (million)
% 0.22/0.42  % (17710)------------------------------
% 0.22/0.42  % (17710)------------------------------
% 0.22/0.42  % (17705)Success in time 0.048 s
%------------------------------------------------------------------------------