TSTP Solution File: SYN650-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN650-1 : 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 : n011.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 12:11:48 EDT 2024

% Result   : Unsatisfiable 46.54s 7.04s
% Output   : Refutation 46.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   32 (  12 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   78 (  35   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   7 con; 0-5 aty)
%            Number of variables   :   52 (  52   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144225,plain,
    $false,
    inference(subsumption_resolution,[],[f144224,f34]) ).

fof(f34,axiom,
    ~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f18_is_not_p23_34) ).

fof(f144224,plain,
    p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
    inference(subsumption_resolution,[],[f144223,f8]) ).

fof(f8,axiom,
    p22(f3(f4(f5(c26))),c27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_8) ).

fof(f144223,plain,
    ( ~ p22(f3(f4(f5(c26))),c27)
    | p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
    inference(subsumption_resolution,[],[f144222,f24]) ).

fof(f24,axiom,
    ~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_24) ).

fof(f144222,plain,
    ( p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
    inference(subsumption_resolution,[],[f144220,f10]) ).

fof(f10,axiom,
    p24(c33,f20(f11(c29,f12(c27,c30)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_10) ).

fof(f144220,plain,
    ( ~ p24(c33,f20(f11(c29,f12(c27,c30))))
    | p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))) ),
    inference(resolution,[],[f144214,f45]) ).

fof(f45,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p25(f16(f17(X77,X88)),f16(f17(X77,f21(X74,X75,X76,X77,X88))))
      | ~ p24(X88,f20(f11(X74,f12(X75,X76))))
      | p8(X88,f9(f11(X74,f12(X75,X76)),c31,X77))
      | ~ p22(f3(f4(f5(c26))),X75)
      | p23(f18(f11(X74,f12(X75,X76)),f9(f11(X74,f12(X75,X76)),c31,X77))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_45) ).

fof(f144214,plain,
    p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
    inference(resolution,[],[f8789,f4868]) ).

fof(f4868,plain,
    p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33))),
    inference(resolution,[],[f1959,f2]) ).

fof(f2,axiom,
    ! [X1] : p8(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).

fof(f1959,plain,
    ! [X0] :
      ( ~ p8(f16(f17(c32,c33)),X0)
      | p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),X0) ),
    inference(resolution,[],[f691,f110]) ).

fof(f110,plain,
    ! [X0] :
      ( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X0)
      | ~ p8(f16(f17(c32,c33)),X0) ),
    inference(resolution,[],[f35,f18]) ).

fof(f18,axiom,
    ! [X1,X22,X23] :
      ( ~ p8(X1,X22)
      | ~ p8(X1,X23)
      | p8(X22,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_18) ).

fof(f35,axiom,
    p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_35) ).

fof(f691,plain,
    ! [X0] :
      ( ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X0)
      | p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),X0) ),
    inference(resolution,[],[f270,f2]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),X0)
      | ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X1)
      | p8(X0,X1) ),
    inference(resolution,[],[f141,f18]) ).

fof(f141,plain,
    ! [X0] :
      ( p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X0)
      | ~ p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),X0) ),
    inference(resolution,[],[f38,f18]) ).

fof(f38,axiom,
    p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_38) ).

fof(f8789,plain,
    ! [X0,X1] :
      ( ~ p8(f16(f17(X0,f9(f11(c29,f12(c27,c30)),c31,X0))),X1)
      | p25(X1,f16(f17(X0,f21(c29,c27,c30,c32,c33)))) ),
    inference(resolution,[],[f1104,f2]) ).

fof(f1104,plain,
    ! [X2,X0,X1] :
      ( ~ p8(f16(f17(X0,f21(c29,c27,c30,c32,c33))),X1)
      | ~ p8(f16(f17(X0,f9(f11(c29,f12(c27,c30)),c31,X0))),X2)
      | p25(X2,X1) ),
    inference(resolution,[],[f727,f303]) ).

fof(f303,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ p24(X0,f20(f11(X1,f12(c27,X2))))
      | ~ p8(f16(f17(X3,X0)),X4)
      | ~ p8(f16(f17(X3,f9(f11(X1,f12(c27,X2)),c31,X3))),X5)
      | p25(X5,X4) ),
    inference(resolution,[],[f161,f8]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p22(f3(f4(f5(c26))),X2)
      | ~ p24(X0,f20(f11(X1,f12(X2,X3))))
      | ~ p8(f16(f17(X4,X0)),X5)
      | ~ p8(f16(f17(X4,f9(f11(X1,f12(X2,X3)),c31,X4))),X6)
      | p25(X6,X5) ),
    inference(resolution,[],[f40,f25]) ).

fof(f25,axiom,
    ! [X34,X35,X32,X33] :
      ( ~ p25(X34,X35)
      | ~ p8(X35,X33)
      | ~ p8(X34,X32)
      | p25(X32,X33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_25) ).

fof(f40,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( p25(f16(f17(X77,f9(f11(X74,f12(X75,X76)),c31,X77))),f16(f17(X77,X88)))
      | ~ p24(X88,f20(f11(X74,f12(X75,X76))))
      | ~ p22(f3(f4(f5(c26))),X75) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_40) ).

fof(f727,plain,
    p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))),
    inference(subsumption_resolution,[],[f723,f24]) ).

fof(f723,plain,
    ( p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30))))
    | p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)) ),
    inference(resolution,[],[f337,f34]) ).

fof(f337,plain,
    ! [X0] :
      ( p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X0)))
      | p24(f21(c29,c27,c30,X0,c33),f20(f11(c29,f12(c27,c30))))
      | p8(c33,f9(f11(c29,f12(c27,c30)),c31,X0)) ),
    inference(resolution,[],[f193,f10]) ).

fof(f193,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p24(X0,f20(f11(X1,f12(c27,X2))))
      | p8(X0,f9(f11(X1,f12(c27,X2)),c31,X3))
      | p24(f21(X1,c27,X2,X3,X0),f20(f11(X1,f12(c27,X2))))
      | p23(f18(f11(X1,f12(c27,X2)),f9(f11(X1,f12(c27,X2)),c31,X3))) ),
    inference(resolution,[],[f44,f8]) ).

fof(f44,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p22(f3(f4(f5(c26))),X75)
      | ~ p24(X88,f20(f11(X74,f12(X75,X76))))
      | p8(X88,f9(f11(X74,f12(X75,X76)),c31,X77))
      | p24(f21(X74,X75,X76,X77,X88),f20(f11(X74,f12(X75,X76))))
      | p23(f18(f11(X74,f12(X75,X76)),f9(f11(X74,f12(X75,X76)),c31,X77))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_44) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SYN650-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:41:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (7487)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (7490)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)
% 0.14/0.38  % (7488)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (7489)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (7491)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (7493)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (7494)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)
% 0.14/0.38  % (7492)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [1]
% 0.21/0.39  Detected minimum model sizes of [1,1]
% 0.21/0.39  Detected maximum model sizes of [max,1]
% 0.21/0.39  Detected minimum model sizes of [1,1]
% 0.21/0.39  Detected maximum model sizes of [max,1]
% 0.21/0.39  TRYING [1,1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1,1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [2,1]
% 0.21/0.39  TRYING [2,1]
% 0.21/0.42  TRYING [3]
% 0.21/0.42  TRYING [3,1]
% 0.21/0.42  TRYING [3,1]
% 0.21/0.43  TRYING [3]
% 1.31/0.54  TRYING [4,1]
% 1.31/0.55  TRYING [4,1]
% 1.31/0.55  TRYING [4]
% 1.31/0.58  TRYING [4]
% 7.68/1.50  TRYING [5]
% 8.26/1.55  TRYING [5,1]
% 9.77/1.75  TRYING [5,1]
% 9.77/1.80  TRYING [5]
% 37.00/5.69  TRYING [6,1]
% 46.54/7.03  % (7493)First to succeed.
% 46.54/7.03  % (7493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7487"
% 46.54/7.04  % (7493)Refutation found. Thanks to Tanya!
% 46.54/7.04  % SZS status Unsatisfiable for theBenchmark
% 46.54/7.04  % SZS output start Proof for theBenchmark
% See solution above
% 46.54/7.04  % (7493)------------------------------
% 46.54/7.04  % (7493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 46.54/7.04  % (7493)Termination reason: Refutation
% 46.54/7.04  
% 46.54/7.04  % (7493)Memory used [KB]: 47956
% 46.54/7.04  % (7493)Time elapsed: 6.653 s
% 46.54/7.04  % (7493)Instructions burned: 23191 (million)
% 46.54/7.04  % (7487)Success in time 6.645 s
%------------------------------------------------------------------------------