TSTP Solution File: SYN616-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN616-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 18:04:35 EDT 2024

% Result   : Unsatisfiable 20.00s 3.28s
% Output   : Refutation 20.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   77 (  41   ~;  36   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77724,plain,
    $false,
    inference(subsumption_resolution,[],[f77723,f44]) ).

fof(f44,plain,
    p2(c28,c25),
    inference(resolution,[],[f38,f4]) ).

fof(f4,axiom,
    ! [X2] : p2(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f38,plain,
    ! [X0] :
      ( ~ p2(c25,X0)
      | p2(c28,X0) ),
    inference(resolution,[],[f17,f7]) ).

fof(f7,axiom,
    p2(c25,c28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

fof(f17,axiom,
    ! [X2,X18,X19] :
      ( ~ p2(X2,X18)
      | ~ p2(X2,X19)
      | p2(X18,X19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

fof(f77723,plain,
    ~ p2(c28,c25),
    inference(subsumption_resolution,[],[f77722,f4]) ).

fof(f77722,plain,
    ( ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
    | ~ p2(c28,c25) ),
    inference(subsumption_resolution,[],[f77721,f4]) ).

fof(f77721,plain,
    ( ~ p2(f3(f5(c20)),f3(f5(c20)))
    | ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
    | ~ p2(c28,c25) ),
    inference(subsumption_resolution,[],[f77719,f4]) ).

fof(f77719,plain,
    ( ~ p2(f6(c21),f6(c21))
    | ~ p2(f3(f5(c20)),f3(f5(c20)))
    | ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20))))
    | ~ p2(c28,c25) ),
    inference(resolution,[],[f3731,f30]) ).

fof(f30,axiom,
    ~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_30) ).

fof(f3731,plain,
    ! [X2,X3,X0,X1] :
      ( p14(f7(c22,f12(X0,X1)),X2,X3)
      | ~ p2(f6(c21),X3)
      | ~ p2(f3(f5(c20)),X2)
      | ~ p2(X0,f8(c21,f3(f5(c20))))
      | ~ p2(X1,c25) ),
    inference(resolution,[],[f406,f125]) ).

fof(f125,plain,
    ! [X2,X3,X0,X1] :
      ( p2(f12(X3,X1),f12(X2,X0))
      | ~ p2(X2,X3)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f69,f4]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p2(f12(X0,X2),X4)
      | ~ p2(X2,X3)
      | ~ p2(X0,X1)
      | p2(f12(X1,X3),X4) ),
    inference(resolution,[],[f27,f17]) ).

fof(f27,axiom,
    ! [X46,X44,X45,X43] :
      ( p2(f12(X43,X44),f12(X45,X46))
      | ~ p2(X43,X45)
      | ~ p2(X44,X46) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).

fof(f406,plain,
    ! [X2,X0,X1] :
      ( ~ p2(f12(f8(c21,f3(f5(c20))),c25),X1)
      | p14(f7(c22,X1),X2,X0)
      | ~ p2(f6(c21),X0)
      | ~ p2(f3(f5(c20)),X2) ),
    inference(resolution,[],[f149,f4]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(c22,X2)
      | ~ p2(f6(c21),X1)
      | p14(f7(X2,X3),X0,X1)
      | ~ p2(f12(f8(c21,f3(f5(c20))),c25),X3)
      | ~ p2(f3(f5(c20)),X0) ),
    inference(resolution,[],[f95,f28]) ).

fof(f28,axiom,
    ! [X50,X48,X49,X47] :
      ( p2(f7(X47,X48),f7(X49,X50))
      | ~ p2(X48,X50)
      | ~ p2(X47,X49) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),X0)
      | ~ p2(f3(f5(c20)),X1)
      | ~ p2(f6(c21),X2)
      | p14(X0,X1,X2) ),
    inference(resolution,[],[f31,f29]) ).

fof(f29,axiom,
    p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_29) ).

fof(f31,axiom,
    ! [X51,X56,X54,X55,X52,X53] :
      ( ~ p14(X56,X55,X54)
      | ~ p2(X56,X51)
      | ~ p2(X55,X52)
      | ~ p2(X54,X53)
      | p14(X51,X52,X53) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN616-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 01:44:19 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (20021)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (20024)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38  % (20028)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38  % (20027)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38  % (20026)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)
% 0.16/0.38  % (20025)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (20029)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38  % (20030)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)
% 0.16/0.38  TRYING [1]
% 0.16/0.38  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.16/0.38  Detected maximum model sizes of [max,1,1,max,max,max,max,max,max,max,max,max,max,max]
% 0.16/0.38  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.16/0.38  TRYING [1]
% 0.16/0.38  TRYING [2]
% 0.16/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.16/0.38  Detected maximum model sizes of [max,1,2,1]
% 0.16/0.38  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.16/0.38  TRYING [1,1,1,1]
% 0.16/0.38  TRYING [2]
% 0.16/0.38  TRYING [2,1,1,1]
% 0.16/0.38  TRYING [3,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [3]
% 0.16/0.39  TRYING [3,1,1,1]
% 0.16/0.40  TRYING [4,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [4]
% 0.16/0.40  TRYING [4,1,1,1]
% 0.22/0.43  TRYING [5]
% 0.22/0.44  TRYING [5,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.22/0.45  TRYING [5,1,1,1]
% 0.22/0.46  TRYING [5]
% 0.22/0.52  TRYING [6]
% 0.22/0.52  TRYING [6,1,1,1]
% 0.22/0.54  TRYING [6]
% 0.22/0.55  TRYING [6,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 1.97/0.68  TRYING [7]
% 1.97/0.69  TRYING [7]
% 2.58/0.74  TRYING [7,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 2.58/0.78  TRYING [7,1,1,1]
% 4.06/0.98  TRYING [8]
% 4.69/1.02  TRYING [8]
% 4.69/1.08  TRYING [8,1,1,1]
% 4.69/1.08  TRYING [8,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 8.04/1.50  TRYING [9]
% 9.45/1.70  TRYING [9,1,1,1]
% 9.45/1.77  TRYING [9,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 10.36/1.88  TRYING [9]
% 14.51/2.50  TRYING [10]
% 17.27/2.87  TRYING [10,1,1,1]
% 19.36/3.12  TRYING [10,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 20.00/3.27  % (20029)First to succeed.
% 20.00/3.28  % (20029)Refutation found. Thanks to Tanya!
% 20.00/3.28  % SZS status Unsatisfiable for theBenchmark
% 20.00/3.28  % SZS output start Proof for theBenchmark
% See solution above
% 20.00/3.28  % (20029)------------------------------
% 20.00/3.28  % (20029)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 20.00/3.28  % (20029)Termination reason: Refutation
% 20.00/3.28  
% 20.00/3.28  % (20029)Memory used [KB]: 31921
% 20.00/3.28  % (20029)Time elapsed: 2.893 s
% 20.00/3.28  % (20029)Instructions burned: 12105 (million)
% 20.00/3.28  % (20029)------------------------------
% 20.00/3.28  % (20029)------------------------------
% 20.00/3.28  % (20021)Success in time 2.867 s
%------------------------------------------------------------------------------