TSTP Solution File: SYN644-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN644-1 : TPTP v8.2.0. 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 May 21 08:37:07 EDT 2024

% Result   : Unsatisfiable 77.26s 11.36s
% Output   : Refutation 77.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   76 (  35   ~;  41   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-5 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f715177,plain,
    $false,
    inference(subsumption_resolution,[],[f715176,f7]) ).

fof(f7,axiom,
    p22(f3(f4(f5(c26))),c27),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_7) ).

fof(f715176,plain,
    ~ p22(f3(f4(f5(c26))),c27),
    inference(subsumption_resolution,[],[f715175,f10]) ).

fof(f10,axiom,
    p23(c28,f8(f10(c29,f11(c27,c30)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_10) ).

fof(f715175,plain,
    ( ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27) ),
    inference(subsumption_resolution,[],[f715174,f9]) ).

fof(f9,axiom,
    p24(f17(f10(c29,f11(c27,c30)),c28)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_p24_9) ).

fof(f715174,plain,
    ( ~ p24(f17(f10(c29,f11(c27,c30)),c28))
    | ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27) ),
    inference(subsumption_resolution,[],[f715169,f23]) ).

fof(f23,axiom,
    ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_23) ).

fof(f715169,plain,
    ( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
    | ~ p24(f17(f10(c29,f11(c27,c30)),c28))
    | ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | ~ p22(f3(f4(f5(c26))),c27) ),
    inference(duplicate_literal_removal,[],[f715167]) ).

fof(f715167,plain,
    ( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
    | ~ p24(f17(f10(c29,f11(c27,c30)),c28))
    | ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
    | ~ p22(f3(f4(f5(c26))),c27) ),
    inference(resolution,[],[f715092,f40]) ).

fof(f40,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p25(f13(f14(X77,X88)),f13(f14(X77,f21(X74,X75,X76,X77,X88))))
      | ~ p24(f17(f10(X74,f11(X75,X76)),X88))
      | ~ p23(X88,f8(f10(X74,f11(X75,X76))))
      | p12(X88,f16(f10(X74,f11(X75,X76)),c32,X77))
      | ~ p22(f3(f4(f5(c26))),X75) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_40) ).

fof(f715092,plain,
    ! [X0] :
      ( p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,X0,c28))))
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
    inference(resolution,[],[f46072,f84]) ).

fof(f84,plain,
    p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
    inference(resolution,[],[f33,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ p12(X0,X1)
      | p12(X1,X0) ),
    inference(resolution,[],[f17,f1]) ).

fof(f1,axiom,
    ! [X0] : p12(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_1) ).

fof(f17,axiom,
    ! [X21,X0,X20] :
      ( ~ p12(X0,X21)
      | ~ p12(X0,X20)
      | p12(X20,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_17) ).

fof(f33,axiom,
    p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_33) ).

fof(f46072,plain,
    ! [X2,X0,X1] :
      ( ~ p12(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),X2)
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
      | p25(X2,f13(f14(X1,f21(c29,c27,c30,X0,c28)))) ),
    inference(resolution,[],[f2884,f1]) ).

fof(f2884,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p12(f13(f14(X1,f21(c29,c27,c30,X0,c28))),X2)
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
      | ~ p12(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),X3)
      | p25(X3,X2) ),
    inference(resolution,[],[f782,f25]) ).

fof(f25,axiom,
    ! [X38,X39,X36,X37] :
      ( ~ p25(X39,X38)
      | ~ p12(X38,X37)
      | ~ p12(X39,X36)
      | p25(X36,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).

fof(f782,plain,
    ! [X0,X1] :
      ( p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,X0,c28))))
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
    inference(subsumption_resolution,[],[f779,f7]) ).

fof(f779,plain,
    ! [X0,X1] :
      ( p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
      | ~ p22(f3(f4(f5(c26))),c27)
      | p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,X0,c28)))) ),
    inference(resolution,[],[f776,f37]) ).

fof(f37,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p23(X88,f8(f10(X74,f11(X75,X76))))
      | ~ p22(f3(f4(f5(c26))),X75)
      | p25(f13(f14(X77,f16(f10(X74,f11(X75,X76)),c32,X77))),f13(f14(X77,X88))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_37) ).

fof(f776,plain,
    ! [X0] :
      ( p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0)) ),
    inference(subsumption_resolution,[],[f775,f7]) ).

fof(f775,plain,
    ! [X0] :
      ( ~ p22(f3(f4(f5(c26))),c27)
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
      | p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30)))) ),
    inference(subsumption_resolution,[],[f773,f9]) ).

fof(f773,plain,
    ! [X0] :
      ( ~ p24(f17(f10(c29,f11(c27,c30)),c28))
      | ~ p22(f3(f4(f5(c26))),c27)
      | p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))
      | p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30)))) ),
    inference(resolution,[],[f39,f10]) ).

fof(f39,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p23(X88,f8(f10(X74,f11(X75,X76))))
      | ~ p24(f17(f10(X74,f11(X75,X76)),X88))
      | ~ p22(f3(f4(f5(c26))),X75)
      | p12(X88,f16(f10(X74,f11(X75,X76)),c32,X77))
      | p23(f21(X74,X75,X76,X77,X88),f8(f10(X74,f11(X75,X76)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN644-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n012.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon May 20 14:07:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (22974)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37  % (22981)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)
% 0.16/0.38  TRYING [1]
% 0.16/0.38  TRYING [2]
% 0.16/0.38  % (22975)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38  % (22976)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (22978)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38  % (22977)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)
% 0.16/0.38  % (22979)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38  % (22980)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39  TRYING [1]
% 0.16/0.39  Detected minimum model sizes of [1,1]
% 0.16/0.39  Detected maximum model sizes of [max,1]
% 0.16/0.39  TRYING [1,1]
% 0.16/0.39  Detected minimum model sizes of [1,1]
% 0.16/0.39  Detected maximum model sizes of [max,1]
% 0.16/0.39  TRYING [1,1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [2,1]
% 0.16/0.39  TRYING [2,1]
% 0.16/0.40  TRYING [3]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [3,1]
% 0.22/0.42  TRYING [3,1]
% 0.22/0.52  TRYING [4]
% 0.22/0.53  TRYING [4]
% 0.22/0.54  TRYING [4,1]
% 0.22/0.54  TRYING [4,1]
% 5.96/1.20  TRYING [5,1]
% 6.19/1.25  TRYING [5,1]
% 6.19/1.27  TRYING [5]
% 6.68/1.32  TRYING [5]
% 23.87/3.78  TRYING [6,1]
% 23.87/3.82  TRYING [6]
% 27.95/4.33  TRYING [6,1]
% 27.95/4.34  TRYING [6]
% 77.13/11.34  % (22979)First to succeed.
% 77.13/11.34  % (22979)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22974"
% 77.26/11.36  % (22979)Refutation found. Thanks to Tanya!
% 77.26/11.36  % SZS status Unsatisfiable for theBenchmark
% 77.26/11.36  % SZS output start Proof for theBenchmark
% See solution above
% 77.26/11.36  % (22979)------------------------------
% 77.26/11.36  % (22979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 77.26/11.36  % (22979)Termination reason: Refutation
% 77.26/11.36  
% 77.26/11.36  % (22979)Memory used [KB]: 286150
% 77.26/11.36  % (22979)Time elapsed: 10.957 s
% 77.26/11.36  % (22979)Instructions burned: 39867 (million)
% 77.26/11.36  % (22974)Success in time 10.895 s
%------------------------------------------------------------------------------