TSTP Solution File: SYN620-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN620-1 : 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 : n003.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 : Sun May  5 12:11:42 EDT 2024

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   39 (  24   ~;  14   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f668,plain,
    $false,
    inference(resolution,[],[f662,f1]) ).

fof(f1,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_1) ).

fof(f662,plain,
    ! [X0] : ~ p10(f13(f6(c22),X0),f13(f6(c22),c27)),
    inference(resolution,[],[f418,f24]) ).

fof(f24,axiom,
    ! [X33] : p10(f13(f6(c22),X33),f13(f6(c24),f16(c26,X33))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).

fof(f418,plain,
    ! [X0,X1] :
      ( ~ p10(X0,f13(f6(c24),X1))
      | ~ p10(X0,f13(f6(c22),c27)) ),
    inference(resolution,[],[f415,f19]) ).

fof(f19,axiom,
    ! [X0,X24,X23] :
      ( p10(X23,X24)
      | ~ p10(X0,X23)
      | ~ p10(X0,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).

fof(f415,plain,
    ! [X0] : ~ p10(f13(f6(c24),X0),f13(f6(c22),c27)),
    inference(resolution,[],[f407,f18]) ).

fof(f18,axiom,
    ! [X21,X22] :
      ( p11(f12(X21),f12(X22))
      | ~ p10(X21,X22) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).

fof(f407,plain,
    ! [X0] : ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))),
    inference(resolution,[],[f131,f32]) ).

fof(f32,axiom,
    ! [X58] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X58))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_32) ).

fof(f131,plain,
    ! [X0] :
      ( ~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),X0)
      | ~ p11(X0,f12(f13(f6(c22),c27))) ),
    inference(resolution,[],[f85,f39]) ).

fof(f39,plain,
    ! [X44,X45,X43] :
      ( sP2(X43,X45)
      | ~ p11(X44,X43)
      | ~ p20(X45,X44) ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ! [X45,X43] :
      ( ! [X44] :
          ( ~ p11(X44,X43)
          | ~ p20(X45,X44) )
    <=> ~ sP2(X43,X45) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f85,plain,
    ~ sP2(f12(f13(f6(c22),c27)),f12(f13(f6(c22),f14(f15(f7(c25)))))),
    inference(resolution,[],[f65,f5]) ).

fof(f5,axiom,
    ! [X4] : p11(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).

fof(f65,plain,
    ! [X0] :
      ( ~ p11(X0,f12(f13(f6(c22),f14(f15(f7(c25))))))
      | ~ sP2(f12(f13(f6(c22),c27)),X0) ),
    inference(resolution,[],[f33,f40]) ).

fof(f40,plain,
    ! [X45,X42,X43] :
      ( p20(X42,X43)
      | ~ p11(X45,X42)
      | ~ sP2(X43,X45) ),
    inference(general_splitting,[],[f28,f39_D]) ).

fof(f28,axiom,
    ! [X44,X45,X42,X43] :
      ( ~ p20(X45,X44)
      | ~ p11(X44,X43)
      | ~ p11(X45,X42)
      | p20(X42,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_28) ).

fof(f33,axiom,
    ~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN620-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 17:32:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (2311)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.36  % (2318)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)
% 0.19/0.36  % (2312)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.19/0.36  % (2316)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.19/0.36  % (2315)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.19/0.36  % (2317)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.19/0.36  % (2314)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)
% 0.19/0.36  % (2313)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.19/0.36  TRYING [1]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [1]
% 0.19/0.37  Detected minimum model sizes of [1,1,1,1,1,1,1]
% 0.19/0.37  Detected maximum model sizes of [2,max,max,max,max,max,max]
% 0.19/0.37  TRYING [1,1,1,1,1,1,1]
% 0.19/0.37  TRYING [2]
% 0.19/0.37  TRYING [1,2,1,1,1,1,1]
% 0.19/0.37  Detected minimum model sizes of [1,1]
% 0.19/0.37  Detected maximum model sizes of [2,max]
% 0.19/0.37  TRYING [1,1]
% 0.19/0.37  TRYING [1,2]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [2,2,1,1,1,1,1]
% 0.19/0.37  TRYING [3]
% 0.19/0.37  TRYING [2,2]
% 0.19/0.37  TRYING [1,3,1,1,1,1,1]
% 0.19/0.37  TRYING [1,3]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  TRYING [2,3,1,1,1,1,1]
% 0.19/0.38  TRYING [2,3]
% 0.19/0.38  TRYING [4]
% 0.19/0.38  % (2314)First to succeed.
% 0.19/0.39  % (2314)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2311"
% 0.19/0.39  % (2314)Refutation found. Thanks to Tanya!
% 0.19/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.39  % (2314)------------------------------
% 0.19/0.39  % (2314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.39  % (2314)Termination reason: Refutation
% 0.19/0.39  
% 0.19/0.39  % (2314)Memory used [KB]: 1013
% 0.19/0.39  % (2314)Time elapsed: 0.022 s
% 0.19/0.39  % (2314)Instructions burned: 38 (million)
% 0.19/0.39  % (2311)Success in time 0.038 s
%------------------------------------------------------------------------------