TSTP Solution File: SYN705-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN705-1 : 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 : n004.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 12:11:59 EDT 2024

% Result   : Unsatisfiable 0.20s 0.45s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (  11 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  11 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f222,plain,
    $false,
    inference(resolution,[],[f218,f51]) ).

fof(f51,axiom,
    ~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).

fof(f218,plain,
    ! [X0,X1] : p47(f5(c48,f13(f16(f18(c50,c51),X0),X1)),c55),
    inference(resolution,[],[f215,f76]) ).

fof(f76,axiom,
    ! [X163,X166,X164,X165] :
      ( ~ p47(X163,X164)
      | p47(f5(c48,f13(f16(f18(c50,X163),X165),X166)),X164) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).

fof(f215,plain,
    p47(c51,c55),
    inference(resolution,[],[f210,f75]) ).

fof(f75,axiom,
    ! [X78,X76,X77,X167,X75] :
      ( ~ p47(f20(f22(f24(f26(c56,X75),X76),X77),X78),X167)
      | p47(X75,X167) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_75) ).

fof(f210,plain,
    p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
    inference(resolution,[],[f209,f74]) ).

fof(f74,axiom,
    ! [X163,X166,X164,X165] :
      ( ~ p47(f5(c48,f13(f16(f18(c50,X163),X165),X166)),X164)
      | p47(X163,X164) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_74) ).

fof(f209,plain,
    p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55),
    inference(resolution,[],[f202,f3]) ).

fof(f3,axiom,
    ! [X2] : p7(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).

fof(f202,plain,
    ! [X0] :
      ( ~ p7(c55,X0)
      | p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),X0) ),
    inference(resolution,[],[f178,f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),X0)
      | ~ p7(c55,X1)
      | p47(X0,X1) ),
    inference(resolution,[],[f77,f53]) ).

fof(f53,axiom,
    ! [X82,X80,X81,X79] :
      ( ~ p47(X81,X82)
      | ~ p4(X81,X79)
      | ~ p7(X82,X80)
      | p47(X79,X80) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_53) ).

fof(f77,axiom,
    p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_77) ).

fof(f178,plain,
    ! [X2,X3,X0,X1,X4] : p4(f5(X0,f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4)),f5(X0,f13(f16(f18(c50,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4)))),
    inference(resolution,[],[f80,f138]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( ~ p3(X0,X1)
      | p4(f5(X2,X0),f5(X2,X1)) ),
    inference(resolution,[],[f58,f20]) ).

fof(f20,axiom,
    ! [X19] : p2(X19,X19),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).

fof(f58,axiom,
    ! [X101,X99,X102,X100] :
      ( ~ p2(X99,X101)
      | ~ p3(X100,X102)
      | p4(f5(X99,X100),f5(X101,X102)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).

fof(f80,axiom,
    ! [X78,X76,X77,X75] : p3(f8(f10(c49,f13(f16(f18(c50,X75),X76),X77)),X78),f13(f16(f18(c50,f20(f22(f24(f26(c56,X75),X76),X77),X78)),f30(f32(f34(f36(c57,X75),X76),X77),X78)),f40(f42(f44(f46(c58,X75),X76),X77),X78))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_80) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19  % Problem    : SYN705-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.21  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.42  % Computer : n004.cluster.edu
% 0.14/0.42  % Model    : x86_64 x86_64
% 0.14/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42  % Memory   : 8042.1875MB
% 0.14/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.42  % CPULimit   : 300
% 0.14/0.42  % WCLimit    : 300
% 0.14/0.42  % DateTime   : Fri May  3 17:28:53 EDT 2024
% 0.14/0.42  % CPUTime    : 
% 0.14/0.42  % (27274)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.44  % (27281)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.44  % (27277)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.44  % (27279)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.44  % (27280)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.44  % (27278)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)
% 0.14/0.44  % (27282)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)
% 0.20/0.45  % (27280)First to succeed.
% 0.20/0.45  % (27280)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27274"
% 0.20/0.45  % (27280)Refutation found. Thanks to Tanya!
% 0.20/0.45  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45  % (27280)------------------------------
% 0.20/0.45  % (27280)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.45  % (27280)Termination reason: Refutation
% 0.20/0.45  
% 0.20/0.45  % (27280)Memory used [KB]: 867
% 0.20/0.45  % (27280)Time elapsed: 0.007 s
% 0.20/0.45  % (27280)Instructions burned: 10 (million)
% 0.20/0.45  % (27274)Success in time 0.014 s
%------------------------------------------------------------------------------