TSTP Solution File: SYN641-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN641-1 : 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 : n012.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 18:04:39 EDT 2024

% Result   : Unsatisfiable 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6535,plain,
    $false,
    inference(subsumption_resolution,[],[f6522,f28]) ).

fof(f28,axiom,
    ~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_28) ).

fof(f6522,plain,
    p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
    inference(resolution,[],[f6499,f628]) ).

fof(f628,plain,
    ! [X0,X1] :
      ( ~ p6(f9(X0,f7(f3(c18))),X1)
      | p6(X1,f9(X0,f7(c18))) ),
    inference(resolution,[],[f613,f23]) ).

fof(f23,axiom,
    ! [X1,X22,X23] :
      ( ~ p6(X1,X23)
      | ~ p6(X1,X22)
      | p6(X22,X23) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_23) ).

fof(f613,plain,
    ! [X0] : p6(f9(X0,f7(f3(c18))),f9(X0,f7(c18))),
    inference(resolution,[],[f599,f12]) ).

fof(f12,axiom,
    p6(f7(f3(c18)),f7(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_12) ).

fof(f599,plain,
    ! [X2,X0,X1] :
      ( ~ p6(X0,X1)
      | p6(f9(X2,X0),f9(X2,X1)) ),
    inference(resolution,[],[f33,f4]) ).

fof(f4,axiom,
    ! [X1] : p6(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).

fof(f33,axiom,
    ! [X38,X39,X36,X37] :
      ( ~ p6(X36,X38)
      | ~ p6(X37,X39)
      | p6(f9(X36,X37),f9(X38,X39)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).

fof(f6499,plain,
    p6(f9(f7(c19),f7(f3(c18))),f7(f10(f3(c19),f3(c18)))),
    inference(resolution,[],[f6483,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ~ p6(X0,X1)
      | p6(X1,X0) ),
    inference(resolution,[],[f23,f4]) ).

fof(f6483,plain,
    p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(f3(c18)))),
    inference(resolution,[],[f5325,f863]) ).

fof(f863,plain,
    ! [X0,X1] :
      ( ~ p6(f9(f7(f3(c19)),X0),X1)
      | p6(X1,f9(f7(c19),X0)) ),
    inference(resolution,[],[f840,f23]) ).

fof(f840,plain,
    ! [X0] : p6(f9(f7(f3(c19)),X0),f9(f7(c19),X0)),
    inference(resolution,[],[f605,f4]) ).

fof(f605,plain,
    ! [X0,X1] :
      ( ~ p6(X0,X1)
      | p6(f9(f7(f3(c19)),X0),f9(f7(c19),X1)) ),
    inference(resolution,[],[f33,f13]) ).

fof(f13,axiom,
    p6(f7(f3(c19)),f7(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_13) ).

fof(f5325,plain,
    p6(f9(f7(f3(c19)),f7(f3(c18))),f7(f10(f3(c19),f3(c18)))),
    inference(resolution,[],[f4951,f69]) ).

fof(f4951,plain,
    p6(f7(f10(f3(c19),f3(c18))),f9(f7(f3(c19)),f7(f3(c18)))),
    inference(resolution,[],[f1120,f1]) ).

fof(f1,axiom,
    p15(f3(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).

fof(f1120,plain,
    ! [X0] :
      ( ~ p15(X0)
      | p6(f7(f10(X0,f3(c18))),f9(f7(X0),f7(f3(c18)))) ),
    inference(resolution,[],[f38,f2]) ).

fof(f2,axiom,
    p15(f3(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).

fof(f38,axiom,
    ! [X18,X19] :
      ( ~ p15(X19)
      | ~ p15(X18)
      | p6(f7(f10(X18,X19)),f9(f7(X18),f7(X19))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_38) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN641-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 01:40:27 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (1680)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (1681)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (1682)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (1684)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (1683)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)
% 0.15/0.38  % (1686)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (1685)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (1687)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)
% 0.15/0.38  TRYING [1,1,1,1,1,1,1,1,1,1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1,1,1,1,1]
% 0.15/0.38  TRYING [2,1,1,1,1,1,1,1,1,1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2,1,1,1,1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3,1,1,1,1,1,1,1,1,1]
% 0.15/0.38  TRYING [3,1,1,1,1]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.21/0.40  TRYING [4]
% 0.21/0.41  TRYING [4]
% 0.21/0.41  TRYING [4,1,1,1,1]
% 0.21/0.41  TRYING [4,1,1,1,1,1,1,1,1,1]
% 0.21/0.46  TRYING [5]
% 0.21/0.47  % (1685)First to succeed.
% 0.21/0.47  % (1685)Refutation found. Thanks to Tanya!
% 0.21/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47  % (1685)------------------------------
% 0.21/0.47  % (1685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.47  % (1685)Termination reason: Refutation
% 0.21/0.47  
% 0.21/0.47  % (1685)Memory used [KB]: 2842
% 0.21/0.47  % (1685)Time elapsed: 0.095 s
% 0.21/0.47  % (1685)Instructions burned: 211 (million)
% 0.21/0.47  % (1685)------------------------------
% 0.21/0.47  % (1685)------------------------------
% 0.21/0.47  % (1680)Success in time 0.111 s
%------------------------------------------------------------------------------