TSTP Solution File: SYN668-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN668-1 : 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 : 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 18:04:44 EDT 2024

% Result   : Unsatisfiable 0.23s 0.41s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   42 (  23   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f555,plain,
    $false,
    inference(subsumption_resolution,[],[f553,f380]) ).

fof(f380,plain,
    p2(f11(f4(c32),c34),f11(f4(c33),c34)),
    inference(resolution,[],[f326,f7]) ).

fof(f7,axiom,
    ! [X5] : p2(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

fof(f326,plain,
    ! [X0] :
      ( ~ p2(f11(f4(c33),c34),X0)
      | p2(f11(f4(c32),c34),X0) ),
    inference(subsumption_resolution,[],[f322,f12]) ).

fof(f12,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).

fof(f322,plain,
    ! [X0] :
      ( ~ p25(c33,c36)
      | ~ p2(f11(f4(c33),c34),X0)
      | p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[],[f136,f14]) ).

fof(f14,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_14) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ~ p25(c32,X0)
      | ~ p25(X0,c36)
      | ~ p2(f11(f4(X0),c34),X1)
      | p2(f11(f4(c32),c34),X1) ),
    inference(resolution,[],[f50,f30]) ).

fof(f30,axiom,
    ! [X34,X5,X33] :
      ( ~ p2(X5,X33)
      | ~ p2(X5,X34)
      | p2(X33,X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).

fof(f50,axiom,
    ! [X82] :
      ( p2(f11(f4(X82),c34),f11(f4(c32),c34))
      | ~ p25(c32,X82)
      | ~ p25(X82,c36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_50) ).

fof(f553,plain,
    ~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
    inference(resolution,[],[f549,f92]) ).

fof(f92,plain,
    ! [X0] :
      ( p2(f18(f11(f4(c33),c34),f9(f17(c31))),X0)
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[],[f38,f30]) ).

fof(f38,axiom,
    p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_38) ).

fof(f549,plain,
    ! [X0] : ~ p2(f18(X0,f9(f17(c31))),X0),
    inference(resolution,[],[f529,f7]) ).

fof(f529,plain,
    ! [X0,X1] :
      ( ~ p2(f9(f17(c31)),X1)
      | ~ p2(f18(X0,X1),X0) ),
    inference(resolution,[],[f294,f18]) ).

fof(f18,axiom,
    ! [X10] : ~ p2(X10,f18(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_18) ).

fof(f294,plain,
    ! [X2,X3,X0,X1] :
      ( p2(f18(X3,X1),f18(X2,X0))
      | ~ p2(X2,X3)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f122,f7]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p2(f18(X0,X2),X4)
      | ~ p2(X2,X3)
      | ~ p2(X0,X1)
      | p2(f18(X1,X3),X4) ),
    inference(resolution,[],[f48,f30]) ).

fof(f48,axiom,
    ! [X80,X78,X79,X77] :
      ( p2(f18(X77,X78),f18(X79,X80))
      | ~ p2(X77,X79)
      | ~ p2(X78,X80) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_48) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN668-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % 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 02:11:25 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (22745)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (22746)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (22747)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (22748)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  % (22749)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  % (22750)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39  % (22751)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (22752)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)
% 0.15/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  Detected maximum model sizes of [2,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.15/0.39  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  Detected minimum model sizes of [1,1,1,1,1,1,1]
% 0.15/0.39  Detected maximum model sizes of [1,3,max,1,max,max,max]
% 0.15/0.39  TRYING [1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.39  TRYING [1,1,2,1,1,1,1]
% 0.15/0.39  TRYING [2]
% 0.23/0.39  TRYING [1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.40  TRYING [1,2,2,1,1,1,1]
% 0.23/0.40  TRYING [3]
% 0.23/0.40  TRYING [3]
% 0.23/0.40  TRYING [1,1,3,1,1,1,1]
% 0.23/0.40  TRYING [2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.41  % (22751)First to succeed.
% 0.23/0.41  % (22751)Refutation found. Thanks to Tanya!
% 0.23/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.41  % (22751)------------------------------
% 0.23/0.41  % (22751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.41  % (22751)Termination reason: Refutation
% 0.23/0.41  
% 0.23/0.41  % (22751)Memory used [KB]: 1013
% 0.23/0.41  % (22751)Time elapsed: 0.024 s
% 0.23/0.41  % (22751)Instructions burned: 41 (million)
% 0.23/0.41  % (22751)------------------------------
% 0.23/0.41  % (22751)------------------------------
% 0.23/0.41  % (22745)Success in time 0.041 s
%------------------------------------------------------------------------------