TSTP Solution File: SYN181-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN181-1 : 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 : n002.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 18:02:25 EDT 2024

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   24 (  13 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  18   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3130,plain,
    $false,
    inference(resolution,[],[f3109,f369]) ).

fof(f369,axiom,
    ~ q4(d,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f3109,plain,
    ! [X0] : q4(d,X0),
    inference(resolution,[],[f3080,f1215]) ).

fof(f1215,plain,
    ! [X0] : q2(X0,X0,d),
    inference(resolution,[],[f1210,f224]) ).

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

fof(f1210,plain,
    ! [X0] : l1(d,X0),
    inference(resolution,[],[f1208,f9]) ).

fof(f9,axiom,
    r0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f1208,plain,
    ! [X0,X1] :
      ( ~ r0(X1)
      | l1(d,X0) ),
    inference(resolution,[],[f1150,f10]) ).

fof(f10,axiom,
    p0(b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f1150,plain,
    ! [X2,X0,X1] :
      ( ~ p0(X0,d)
      | l1(d,X1)
      | ~ r0(X2) ),
    inference(resolution,[],[f41,f19]) ).

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

fof(f41,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m0(X7,X6,X8)
      | ~ p0(X8,X6)
      | l1(X6,X7)
      | ~ r0(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_003) ).

fof(f3080,plain,
    ! [X2,X0,X1] :
      ( ~ q2(X2,X1,X0)
      | q4(X0,X1) ),
    inference(resolution,[],[f2979,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(f2979,plain,
    ! [X2,X3,X0,X1] :
      ( ~ k3(X3,X3,X2)
      | q4(X2,X1)
      | ~ q2(X0,X1,X2) ),
    inference(resolution,[],[f333,f474]) ).

fof(f474,plain,
    ! [X0] : m3(X0,X0,X0),
    inference(resolution,[],[f472,f274]) ).

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
% 0.04/0.13  % Problem    : SYN181-1 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n002.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 02:11:10 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (21568)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (21569)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  % (21570)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39  % (21572)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39  % (21573)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (21574)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (21571)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)
% 0.15/0.39  % (21575)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)
% 0.15/0.41  Detected minimum model sizes of [1]
% 0.15/0.41  Detected maximum model sizes of [5]
% 0.15/0.41  TRYING [1]
% 0.15/0.41  Detected minimum model sizes of [1]
% 0.15/0.41  Detected maximum model sizes of [5]
% 0.15/0.41  TRYING [1]
% 0.15/0.41  TRYING [2]
% 0.15/0.41  TRYING [1,1,1,1,1,1]
% 0.15/0.41  TRYING [2]
% 0.15/0.41  TRYING [1,1,1,1,1,1,1,1,1]
% 0.15/0.41  TRYING [2,1,1,1,1,1]
% 0.15/0.41  TRYING [2,1,1,1,1,1,1,1,1]
% 0.15/0.42  TRYING [3]
% 0.15/0.42  TRYING [3]
% 0.15/0.42  TRYING [3,1,1,1,1,1]
% 0.15/0.42  TRYING [3,1,1,1,1,1,1,1,1]
% 0.15/0.42  % (21573)First to succeed.
% 0.15/0.43  % (21573)Refutation found. Thanks to Tanya!
% 0.15/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.43  % (21573)------------------------------
% 0.15/0.43  % (21573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.43  % (21573)Termination reason: Refutation
% 0.15/0.43  
% 0.15/0.43  % (21573)Memory used [KB]: 1536
% 0.15/0.43  % (21573)Time elapsed: 0.037 s
% 0.15/0.43  % (21573)Instructions burned: 64 (million)
% 0.15/0.43  % (21573)------------------------------
% 0.15/0.43  % (21573)------------------------------
% 0.15/0.43  % (21568)Success in time 0.061 s
%------------------------------------------------------------------------------