TSTP Solution File: SYN608-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN608-1 : 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 : n029.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 18:04:34 EDT 2024

% Result   : Unsatisfiable 2.46s 0.74s
% Output   : Refutation 2.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (  10 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26829,plain,
    $false,
    inference(subsumption_resolution,[],[f26826,f29]) ).

fof(f29,axiom,
    ! [X49] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X49,c21))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_29) ).

fof(f26826,plain,
    p17(f9(f10(f14(f4(f9(c19)),c19),f12(c22,c21))),f6(f7(f8(c20)))),
    inference(resolution,[],[f6021,f1289]) ).

fof(f1289,plain,
    ! [X0] : p2(f9(f10(X0,f15(c22))),f9(f10(X0,f12(c22,c21)))),
    inference(resolution,[],[f1282,f12]) ).

fof(f12,axiom,
    ! [X10,X9] :
      ( ~ p3(X9,X10)
      | p2(f9(X9),f9(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

fof(f1282,plain,
    ! [X0] : p3(f10(X0,f15(c22)),f10(X0,f12(c22,c21))),
    inference(resolution,[],[f1197,f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(X1,X0) ),
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).

fof(f19,axiom,
    ! [X2,X24,X23] :
      ( ~ p3(X2,X24)
      | ~ p3(X2,X23)
      | p3(X23,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_19) ).

fof(f1197,plain,
    ! [X0] : p3(f10(X0,f12(c22,c21)),f10(X0,f15(c22))),
    inference(resolution,[],[f408,f4]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( ~ p3(X0,X1)
      | p3(f10(X0,f12(c22,c21)),f10(X1,f15(c22))) ),
    inference(resolution,[],[f24,f6]) ).

fof(f6,axiom,
    p3(f12(c22,c21),f15(c22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).

fof(f24,axiom,
    ! [X40,X38,X39,X37] :
      ( ~ p3(X38,X40)
      | ~ p3(X37,X39)
      | p3(f10(X37,X38),f10(X39,X40)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_24) ).

fof(f6021,plain,
    ! [X0] :
      ( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),X0)
      | p17(X0,f6(f7(f8(c20)))) ),
    inference(resolution,[],[f1010,f2]) ).

fof(f2,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

fof(f1010,plain,
    ! [X0,X1] :
      ( ~ p2(f6(f7(f8(c20))),X0)
      | ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),X1)
      | p17(X1,X0) ),
    inference(resolution,[],[f27,f20]) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p17(X27,X28)
      | ~ p2(X28,X26)
      | ~ p2(X27,X25)
      | p17(X25,X26) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_20) ).

fof(f27,axiom,
    p17(f9(f10(f14(f4(f9(c19)),c19),f15(c22))),f6(f7(f8(c20)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN608-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n029.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 02:13:35 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (4537)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (4538)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  % (4539)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40  % (4540)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)
% 0.15/0.40  % (4541)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40  % (4542)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40  % (4544)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)
% 0.15/0.40  % (4543)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.40  TRYING [1,1,1,1]
% 0.15/0.40  TRYING [2,1,1,1]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  TRYING [1,1]
% 0.15/0.40  TRYING [2]
% 0.15/0.40  TRYING [2,1]
% 0.15/0.41  TRYING [3,1,1,1]
% 0.15/0.41  TRYING [3]
% 0.15/0.41  TRYING [3,1]
% 0.15/0.41  TRYING [4]
% 0.23/0.43  TRYING [4,1,1,1]
% 0.23/0.43  TRYING [4]
% 0.23/0.44  TRYING [4,1]
% 0.23/0.49  TRYING [5,1]
% 0.23/0.50  TRYING [5]
% 0.23/0.50  TRYING [5]
% 0.23/0.51  TRYING [5,1,1,1]
% 1.67/0.62  TRYING [6,1]
% 1.67/0.62  TRYING [6,1,1,1]
% 1.67/0.62  TRYING [6]
% 1.97/0.66  TRYING [6]
% 2.46/0.73  % (4542)First to succeed.
% 2.46/0.74  % (4542)Refutation found. Thanks to Tanya!
% 2.46/0.74  % SZS status Unsatisfiable for theBenchmark
% 2.46/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.74  % (4542)------------------------------
% 2.46/0.74  % (4542)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.46/0.74  % (4542)Termination reason: Refutation
% 2.46/0.74  
% 2.46/0.74  % (4542)Memory used [KB]: 9361
% 2.46/0.74  % (4542)Time elapsed: 0.341 s
% 2.46/0.74  % (4542)Instructions burned: 1025 (million)
% 2.46/0.74  % (4542)------------------------------
% 2.46/0.74  % (4542)------------------------------
% 2.46/0.74  % (4537)Success in time 0.369 s
%------------------------------------------------------------------------------