TSTP Solution File: SYN600-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN600-1 : 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 : n005.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 18:04:33 EDT 2024

% Result   : Unsatisfiable 5.47s 1.13s
% Output   : Refutation 5.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   34 (  11 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   85 (  43   ~;  42   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   12 (   3 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15513,plain,
    $false,
    inference(subsumption_resolution,[],[f15512,f8]) ).

fof(f8,axiom,
    ~ p3(f4(f6(c21)),f4(f6(c22))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_8) ).

fof(f15512,plain,
    p3(f4(f6(c21)),f4(f6(c22))),
    inference(resolution,[],[f15288,f6]) ).

fof(f6,axiom,
    ! [X3] : p3(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).

fof(f15288,plain,
    ! [X0] :
      ( ~ p3(f4(f6(c22)),X0)
      | p3(f4(f6(c21)),X0) ),
    inference(resolution,[],[f15268,f21]) ).

fof(f21,axiom,
    ! [X3,X28,X29] :
      ( ~ p3(X3,X28)
      | ~ p3(X3,X29)
      | p3(X28,X29) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_21) ).

fof(f15268,plain,
    p3(f4(f6(c22)),f4(f6(c21))),
    inference(subsumption_resolution,[],[f15267,f220]) ).

fof(f220,plain,
    p7(f15(f16(c21)),f15(f16(c22))),
    inference(resolution,[],[f187,f4]) ).

fof(f4,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_4) ).

fof(f187,plain,
    ! [X0] :
      ( ~ p7(f15(f16(c22)),X0)
      | p7(f15(f16(c21)),X0) ),
    inference(resolution,[],[f177,f19]) ).

fof(f19,axiom,
    ! [X1,X24,X25] :
      ( ~ p7(X1,X24)
      | ~ p7(X1,X25)
      | p7(X24,X25) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_19) ).

fof(f177,plain,
    p7(f15(f16(c22)),f15(f16(c21))),
    inference(resolution,[],[f161,f4]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ p7(X0,f16(c21))
      | p7(f15(f16(c22)),f15(X0)) ),
    inference(resolution,[],[f57,f7]) ).

fof(f7,axiom,
    p7(f16(c21),f16(c22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_7) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ p7(X1,X2)
      | p7(f15(X2),f15(X0))
      | ~ p7(X0,X1) ),
    inference(resolution,[],[f55,f39]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( ~ p7(f15(X0),X1)
      | p7(f15(X2),X1)
      | ~ p7(X0,X2) ),
    inference(resolution,[],[f19,f17]) ).

fof(f17,axiom,
    ! [X21,X20] :
      ( p7(f15(X20),f15(X21))
      | ~ p7(X20,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_17) ).

fof(f55,plain,
    ! [X0,X1] :
      ( p7(f15(X0),f15(X1))
      | ~ p7(X1,X0) ),
    inference(resolution,[],[f39,f4]) ).

fof(f15267,plain,
    ( p3(f4(f6(c22)),f4(f6(c21)))
    | ~ p7(f15(f16(c21)),f15(f16(c22))) ),
    inference(resolution,[],[f15164,f2]) ).

fof(f2,axiom,
    p19(c22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c22_is_p19_2) ).

fof(f15164,plain,
    ! [X0] :
      ( ~ p19(X0)
      | p3(f4(f6(X0)),f4(f6(c21)))
      | ~ p7(f15(f16(c21)),f15(f16(X0))) ),
    inference(subsumption_resolution,[],[f1292,f259]) ).

fof(f259,plain,
    ! [X0] :
      ( p17(X0,f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
      | ~ p7(f15(f16(c21)),X0) ),
    inference(resolution,[],[f104,f4]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X0)
      | ~ p7(f15(f16(c21)),X1)
      | p17(X1,X0) ),
    inference(resolution,[],[f66,f1]) ).

fof(f1,axiom,
    p19(c21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p19_1) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( ~ p19(X0)
      | ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X1)
      | ~ p7(f15(f16(X0)),X2)
      | p17(X2,X1) ),
    inference(resolution,[],[f28,f22]) ).

fof(f22,axiom,
    ! [X31,X32,X30,X33] :
      ( ~ p17(X32,X33)
      | ~ p7(X33,X31)
      | ~ p7(X32,X30)
      | p17(X30,X31) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_22) ).

fof(f28,axiom,
    ! [X50] :
      ( p17(f15(f16(X50)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X50))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
      | ~ p19(X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_28) ).

fof(f1292,plain,
    ! [X0] :
      ( ~ p7(f15(f16(c21)),f15(f16(X0)))
      | p3(f4(f6(X0)),f4(f6(c21)))
      | ~ p19(X0)
      | ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
    inference(resolution,[],[f245,f29]) ).

fof(f29,axiom,
    ! [X51,X52] :
      ( ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X52),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X51)))
      | p3(f4(f6(X51)),X52)
      | ~ p19(X51)
      | ~ p17(f15(f16(X51)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X52),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_29) ).

fof(f245,plain,
    ! [X0] :
      ( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X0)
      | ~ p7(f15(f16(c21)),X0) ),
    inference(resolution,[],[f93,f4]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c21))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X1)
      | ~ p7(f15(f16(c21)),X0)
      | p18(X1,X0) ),
    inference(resolution,[],[f64,f1]) ).

fof(f64,plain,
    ! [X2,X0,X1] :
      ( ~ p19(X0)
      | ~ p7(f15(f16(X0)),X1)
      | ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X2)
      | p18(X2,X1) ),
    inference(resolution,[],[f27,f23]) ).

fof(f23,axiom,
    ! [X36,X37,X34,X35] :
      ( ~ p18(X36,X37)
      | ~ p7(X37,X35)
      | ~ p7(X36,X34)
      | p18(X34,X35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_23) ).

fof(f27,axiom,
    ! [X50] :
      ( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X50))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X50)))
      | ~ p19(X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN600-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n005.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   : Tue Apr 30 01:45:26 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (29098)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (29100)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (29103)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38  % (29102)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  % (29099)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38  % (29104)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38  % (29105)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  % (29101)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)
% 0.16/0.39  TRYING [1]
% 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 [2,max]
% 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 [2,max]
% 0.16/0.39  TRYING [1,1]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [2]
% 0.16/0.39  TRYING [1,2]
% 0.16/0.39  TRYING [1,2]
% 0.16/0.40  TRYING [2,2]
% 0.16/0.40  TRYING [2,2]
% 0.22/0.52  TRYING [1,3]
% 0.22/0.53  TRYING [1,3]
% 0.22/0.53  TRYING [2,3]
% 0.22/0.53  TRYING [2,3]
% 0.22/0.55  TRYING [3]
% 0.22/0.56  TRYING [3]
% 5.47/1.13  % (29104)First to succeed.
% 5.47/1.13  % (29104)Refutation found. Thanks to Tanya!
% 5.47/1.13  % SZS status Unsatisfiable for theBenchmark
% 5.47/1.13  % SZS output start Proof for theBenchmark
% See solution above
% 5.47/1.13  % (29104)------------------------------
% 5.47/1.13  % (29104)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 5.47/1.13  % (29104)Termination reason: Refutation
% 5.47/1.13  
% 5.47/1.13  % (29104)Memory used [KB]: 7838
% 5.47/1.13  % (29104)Time elapsed: 0.748 s
% 5.47/1.13  % (29104)Instructions burned: 2821 (million)
% 5.47/1.13  % (29104)------------------------------
% 5.47/1.13  % (29104)------------------------------
% 5.47/1.13  % (29098)Success in time 0.755 s
%------------------------------------------------------------------------------