TSTP Solution File: SYN690-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN690-1 : 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 : n028.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 08:37:16 EDT 2024

% Result   : Unsatisfiable 0.23s 0.51s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   56 (  23   ~;  33   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3571,plain,
    $false,
    inference(subsumption_resolution,[],[f3570,f737]) ).

fof(f737,plain,
    ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
    inference(subsumption_resolution,[],[f728,f20]) ).

fof(f20,axiom,
    ~ p2(c38,c40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_20) ).

fof(f728,plain,
    ( p2(c38,c40)
    | ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
    inference(resolution,[],[f521,f22]) ).

fof(f22,axiom,
    ! [X19] : p4(f5(c38,X19),f5(f7(c39,c38),X19)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_22) ).

fof(f521,plain,
    ! [X0] :
      ( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),c40)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),c40)))
      | p2(X0,c40)
      | ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
    inference(resolution,[],[f351,f21]) ).

fof(f21,axiom,
    ! [X18] : p4(f5(c40,X18),f5(f7(c39,c40),X18)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_21) ).

fof(f351,plain,
    ! [X2,X0,X1] :
      ( ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
      | p2(X0,X1)
      | ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
      | ~ p4(f5(f7(X2,f26(f28(c43,c37),X2)),f30(f32(c42,c37),X2)),f5(f7(X2,f26(f28(c44,c37),X2)),f30(f32(c42,c37),X2))) ),
    inference(resolution,[],[f62,f19]) ).

fof(f19,axiom,
    p34(c36,c37),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34_19) ).

fof(f62,axiom,
    ! [X127,X130,X128,X129] :
      ( ~ p34(c36,X129)
      | p2(X127,X128)
      | ~ p4(f5(X128,f18(f20(f22(f24(c45,X129),X130),X127),X128)),f5(f7(X130,X128),f18(f20(f22(f24(c45,X129),X130),X127),X128)))
      | ~ p4(f5(X127,f18(f20(f22(f24(c45,X129),X130),X127),X128)),f5(f7(X130,X127),f18(f20(f22(f24(c45,X129),X130),X127),X128)))
      | ~ p4(f5(f7(X130,f26(f28(c43,X129),X130)),f30(f32(c42,X129),X130)),f5(f7(X130,f26(f28(c44,X129),X130)),f30(f32(c42,X129),X130))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).

fof(f3570,plain,
    p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
    inference(duplicate_literal_removal,[],[f3567]) ).

fof(f3567,plain,
    ( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
    | p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
    inference(resolution,[],[f1538,f58]) ).

fof(f58,axiom,
    ! [X120,X121,X122] :
      ( ~ p4(f5(X120,f12(f14(f16(c41,X120),X122),X121)),f5(X122,f12(f14(f16(c41,X120),X122),X121)))
      | p4(f5(f7(c39,X120),X121),f5(f7(c39,X122),X121)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).

fof(f1538,plain,
    ! [X0,X1] :
      ( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))))
      | p4(f5(f7(c39,X0),f30(f32(c42,c37),c39)),f5(f7(c39,X1),f30(f32(c42,c37),c39))) ),
    inference(subsumption_resolution,[],[f1522,f20]) ).

fof(f1522,plain,
    ! [X0,X1] :
      ( p2(c38,c40)
      | p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))))
      | p4(f5(f7(c39,X0),f30(f32(c42,c37),c39)),f5(f7(c39,X1),f30(f32(c42,c37),c39))) ),
    inference(resolution,[],[f607,f21]) ).

fof(f607,plain,
    ! [X2,X0,X1] :
      ( ~ p4(f5(X2,f18(f20(f22(f24(c45,c37),c39),c38),X2)),f5(f7(c39,X2),f18(f20(f22(f24(c45,c37),c39),c38),X2)))
      | p2(c38,X2)
      | p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X0),X1),f30(f32(c42,c37),c39))))
      | p4(f5(f7(c39,X0),f30(f32(c42,c37),c39)),f5(f7(c39,X1),f30(f32(c42,c37),c39))) ),
    inference(resolution,[],[f288,f22]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
      | p4(f5(f26(f28(c43,c37),X2),f12(f14(f16(c41,X3),X4),f30(f32(c42,c37),X2))),f5(f26(f28(c44,c37),X2),f12(f14(f16(c41,X3),X4),f30(f32(c42,c37),X2))))
      | p2(X0,X1)
      | ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
      | p4(f5(f7(c39,X3),f30(f32(c42,c37),X2)),f5(f7(c39,X4),f30(f32(c42,c37),X2))) ),
    inference(subsumption_resolution,[],[f287,f19]) ).

fof(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p2(X0,X1)
      | ~ p34(c36,c37)
      | p4(f5(f26(f28(c43,c37),X2),f12(f14(f16(c41,X3),X4),f30(f32(c42,c37),X2))),f5(f26(f28(c44,c37),X2),f12(f14(f16(c41,X3),X4),f30(f32(c42,c37),X2))))
      | ~ p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
      | ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))
      | p4(f5(f7(c39,X3),f30(f32(c42,c37),X2)),f5(f7(c39,X4),f30(f32(c42,c37),X2))) ),
    inference(resolution,[],[f61,f57]) ).

fof(f57,axiom,
    ! [X120,X121,X122] :
      ( p35(f10(c37,f12(f14(f16(c41,X120),X122),X121)),X121)
      | p4(f5(f7(c39,X120),X121),f5(f7(c39,X122),X121)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_57) ).

fof(f61,axiom,
    ! [X127,X130,X131,X128,X129] :
      ( ~ p35(f10(X129,X131),f30(f32(c42,X129),X130))
      | p2(X127,X128)
      | ~ p34(c36,X129)
      | p4(f5(f26(f28(c43,X129),X130),X131),f5(f26(f28(c44,X129),X130),X131))
      | ~ p4(f5(X127,f18(f20(f22(f24(c45,X129),X130),X127),X128)),f5(f7(X130,X127),f18(f20(f22(f24(c45,X129),X130),X127),X128)))
      | ~ p4(f5(X128,f18(f20(f22(f24(c45,X129),X130),X127),X128)),f5(f7(X130,X128),f18(f20(f22(f24(c45,X129),X130),X127),X128))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_61) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SYN690-1 : TPTP v8.2.0. Released v2.5.0.
% 0.14/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37  % Computer : n028.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 15:46:38 EDT 2024
% 0.15/0.38  % CPUTime    : 
% 0.15/0.38  % (18952)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40  % (18956)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40  % (18959)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)
% 0.15/0.41  % (18953)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.41  % (18958)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.41  % (18957)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.41  % (18955)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)
% 0.15/0.41  % (18954)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.42  TRYING [1]
% 0.15/0.42  TRYING [2]
% 0.15/0.42  TRYING [1]
% 0.15/0.42  TRYING [2]
% 0.15/0.43  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.43  Detected maximum model sizes of [max,1,max,max,max,1,max,max,max,1,max,max,max,max,1,4,max,2]
% 0.15/0.43  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.43  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.43  TRYING [2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.15/0.44  TRYING [2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.44  TRYING [3]
% 0.23/0.44  TRYING [2,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1]
% 0.23/0.44  TRYING [3]
% 0.23/0.45  TRYING [2,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1]
% 0.23/0.45  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.45  Detected maximum model sizes of [max,1,max,max,max,1,max,max,max,1,max,max,max,max,1,4,max,2]
% 0.23/0.45  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.45  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.45  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1]
% 0.23/0.45  TRYING [2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.46  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
% 0.23/0.46  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 0.23/0.46  TRYING [2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.47  TRYING [2,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1]
% 0.23/0.47  TRYING [2,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1]
% 0.23/0.47  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1]
% 0.23/0.47  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1]
% 0.23/0.48  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1]
% 0.23/0.48  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 0.23/0.48  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1]
% 0.23/0.48  TRYING [3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.48  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1]
% 0.23/0.48  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 0.23/0.48  TRYING [2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 0.23/0.49  TRYING [3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.23/0.49  TRYING [2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 0.23/0.50  TRYING [2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 0.23/0.50  TRYING [2,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2]
% 0.23/0.50  TRYING [2,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2]
% 0.23/0.50  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2]
% 0.23/0.50  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2]
% 0.23/0.51  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2]
% 0.23/0.51  % (18957)First to succeed.
% 0.23/0.51  TRYING [2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2]
% 0.23/0.51  % (18957)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18952"
% 0.23/0.51  TRYING [2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2]
% 0.23/0.51  % (18957)Refutation found. Thanks to Tanya!
% 0.23/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.51  % (18957)------------------------------
% 0.23/0.51  % (18957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.51  % (18957)Termination reason: Refutation
% 0.23/0.51  
% 0.23/0.51  % (18957)Memory used [KB]: 1344
% 0.23/0.51  % (18957)Time elapsed: 0.101 s
% 0.23/0.51  % (18957)Instructions burned: 176 (million)
% 0.23/0.51  % (18952)Success in time 0.128 s
%------------------------------------------------------------------------------