TSTP Solution File: SYN645-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN645-1 : 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 : n020.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 12:11:47 EDT 2024

% Result   : Unsatisfiable 22.05s 3.57s
% Output   : Refutation 22.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   68 (  30   ~;  38   |;   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    :   18 (  18 usr;   7 con; 0-5 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80610,plain,
    $false,
    inference(subsumption_resolution,[],[f80609,f32]) ).

fof(f32,axiom,
    ~ p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f17_is_not_p24_32) ).

fof(f80609,plain,
    p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))),
    inference(subsumption_resolution,[],[f80608,f7]) ).

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

fof(f80608,plain,
    ( ~ p22(f3(f4(f5(c26))),c27)
    | p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
    inference(subsumption_resolution,[],[f80607,f22]) ).

fof(f22,axiom,
    ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_22) ).

fof(f80607,plain,
    ( p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
    inference(subsumption_resolution,[],[f80605,f9]) ).

fof(f9,axiom,
    p23(c28,f8(f10(c29,f11(c27,c30)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_9) ).

fof(f80605,plain,
    ( ~ p23(c28,f8(f10(c29,f11(c27,c30))))
    | p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))
    | ~ p22(f3(f4(f5(c26))),c27)
    | p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,c31))) ),
    inference(resolution,[],[f80601,f42]) ).

fof(f42,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p25(f13(f14(X77,X88)),f13(f14(X77,f21(X74,X75,X76,X77,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)
      | p24(f17(f10(X74,f11(X75,X76)),f16(f10(X74,f11(X75,X76)),c32,X77))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_42) ).

fof(f80601,plain,
    p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,c31,c28)))),
    inference(resolution,[],[f7368,f252]) ).

fof(f252,plain,
    p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28))),
    inference(resolution,[],[f111,f1]) ).

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

fof(f111,plain,
    ! [X0] :
      ( ~ p12(f13(f14(c31,c28)),X0)
      | p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0) ),
    inference(resolution,[],[f33,f16]) ).

fof(f16,axiom,
    ! [X21,X0,X20] :
      ( ~ p12(X0,X20)
      | ~ p12(X0,X21)
      | p12(X20,X21) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).

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(f7368,plain,
    ! [X0,X1] :
      ( ~ p12(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),X1)
      | p25(X1,f13(f14(X0,f21(c29,c27,c30,c31,c28)))) ),
    inference(resolution,[],[f1004,f1]) ).

fof(f1004,plain,
    ! [X2,X0,X1] :
      ( ~ p12(f13(f14(X0,f21(c29,c27,c30,c31,c28))),X1)
      | ~ p12(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),X2)
      | p25(X2,X1) ),
    inference(subsumption_resolution,[],[f1002,f7]) ).

fof(f1002,plain,
    ! [X2,X0,X1] :
      ( ~ p22(f3(f4(f5(c26))),c27)
      | ~ p12(f13(f14(X0,f21(c29,c27,c30,c31,c28))),X1)
      | ~ p12(f13(f14(X0,f16(f10(c29,f11(c27,c30)),c32,X0))),X2)
      | p25(X2,X1) ),
    inference(resolution,[],[f646,f154]) ).

fof(f154,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ p23(X0,f8(f10(X1,f11(X2,X3))))
      | ~ p22(f3(f4(f5(c26))),X2)
      | ~ p12(f13(f14(X4,X0)),X5)
      | ~ p12(f13(f14(X4,f16(f10(X1,f11(X2,X3)),c32,X4))),X6)
      | p25(X6,X5) ),
    inference(resolution,[],[f37,f23]) ).

fof(f23,axiom,
    ! [X34,X35,X32,X33] :
      ( ~ p25(X35,X34)
      | ~ p12(X34,X33)
      | ~ p12(X35,X32)
      | p25(X32,X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_23) ).

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

fof(f646,plain,
    p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30)))),
    inference(subsumption_resolution,[],[f642,f22]) ).

fof(f642,plain,
    ( p23(f21(c29,c27,c30,c31,c28),f8(f10(c29,f11(c27,c30))))
    | p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
    inference(resolution,[],[f318,f32]) ).

fof(f318,plain,
    ! [X0] :
      ( p24(f17(f10(c29,f11(c27,c30)),f16(f10(c29,f11(c27,c30)),c32,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(resolution,[],[f181,f9]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p23(X0,f8(f10(X1,f11(c27,X2))))
      | p12(X0,f16(f10(X1,f11(c27,X2)),c32,X3))
      | p23(f21(X1,c27,X2,X3,X0),f8(f10(X1,f11(c27,X2))))
      | p24(f17(f10(X1,f11(c27,X2)),f16(f10(X1,f11(c27,X2)),c32,X3))) ),
    inference(resolution,[],[f41,f7]) ).

fof(f41,axiom,
    ! [X88,X76,X77,X74,X75] :
      ( ~ p22(f3(f4(f5(c26))),X75)
      | ~ p23(X88,f8(f10(X74,f11(X75,X76))))
      | p12(X88,f16(f10(X74,f11(X75,X76)),c32,X77))
      | p23(f21(X74,X75,X76,X77,X88),f8(f10(X74,f11(X75,X76))))
      | p24(f17(f10(X74,f11(X75,X76)),f16(f10(X74,f11(X75,X76)),c32,X77))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_41) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN645-1 : 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 : n020.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   : Fri May  3 17:24:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (17205)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (17209)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (17208)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (17210)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  % (17211)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (17212)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (17213)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (17214)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)
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  Detected minimum model sizes of [1,1]
% 0.22/0.39  Detected maximum model sizes of [max,1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [1,1]
% 0.22/0.39  Detected minimum model sizes of [1,1]
% 0.22/0.39  Detected maximum model sizes of [max,1]
% 0.22/0.39  TRYING [1,1]
% 0.22/0.39  TRYING [2]
% 0.22/0.40  TRYING [2,1]
% 0.22/0.40  TRYING [2,1]
% 0.22/0.42  TRYING [3]
% 0.22/0.42  TRYING [3,1]
% 0.22/0.42  TRYING [3,1]
% 0.22/0.43  TRYING [3]
% 1.32/0.56  TRYING [4,1]
% 1.32/0.56  TRYING [4]
% 1.32/0.57  TRYING [4]
% 1.32/0.59  TRYING [4,1]
% 4.96/1.08  TRYING [5,1]
% 5.14/1.12  TRYING [5]
% 5.43/1.14  TRYING [5,1]
% 7.14/1.39  TRYING [5]
% 18.07/2.99  TRYING [6]
% 18.76/3.09  TRYING [6,1]
% 22.05/3.56  % (17213)First to succeed.
% 22.05/3.56  % (17213)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17205"
% 22.05/3.57  % (17213)Refutation found. Thanks to Tanya!
% 22.05/3.57  % SZS status Unsatisfiable for theBenchmark
% 22.05/3.57  % SZS output start Proof for theBenchmark
% See solution above
% 22.05/3.57  % (17213)------------------------------
% 22.05/3.57  % (17213)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.05/3.57  % (17213)Termination reason: Refutation
% 22.05/3.57  
% 22.05/3.57  % (17213)Memory used [KB]: 26683
% 22.05/3.57  % (17213)Time elapsed: 3.180 s
% 22.05/3.57  % (17213)Instructions burned: 12300 (million)
% 22.05/3.57  % (17205)Success in time 3.178 s
%------------------------------------------------------------------------------