TSTP Solution File: SYN687-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN687-1 : 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 : Sun May  5 12:11:55 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   24 (   8   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   8 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f153,plain,
    $false,
    inference(resolution,[],[f150,f40]) ).

fof(f40,axiom,
    ! [X62] : ~ p4(f5(X62,f7(c38,X62)),f5(f9(c39,X62),f7(c38,X62))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_40) ).

fof(f150,plain,
    ! [X0] : p4(f5(f26(f28(c46,c37),c39),X0),f5(f9(c39,f26(f28(c46,c37),c39)),X0)),
    inference(resolution,[],[f143,f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ p4(f5(f9(X0,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(X0,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
      | p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1)) ),
    inference(resolution,[],[f58,f19]) ).

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

fof(f58,axiom,
    ! [X125,X122,X123] :
      ( ~ p34(c36,X122)
      | p4(f5(f26(f28(c46,X122),X123),X125),f5(f9(X123,f26(f28(c46,X122),X123)),X125))
      | ~ p4(f5(f9(X123,f26(f28(c46,X122),X123)),f30(f32(c45,X122),X123)),f5(f9(X123,f26(f28(c47,X122),X123)),f30(f32(c45,X122),X123))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).

fof(f143,plain,
    p4(f5(f9(c39,f26(f28(c46,c37),c39)),f30(f32(c45,c37),c39)),f5(f9(c39,f26(f28(c47,c37),c39)),f30(f32(c45,c37),c39))),
    inference(resolution,[],[f142,f40]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
      | p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( p4(f5(f26(f28(c46,c37),X0),X1),f5(f9(X0,f26(f28(c46,c37),X0)),X1))
      | p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0)))
      | p4(f5(f9(c39,f26(f28(c46,c37),X0)),f30(f32(c45,c37),X0)),f5(f9(c39,f26(f28(c47,c37),X0)),f30(f32(c45,c37),X0))) ),
    inference(resolution,[],[f133,f56]) ).

fof(f56,axiom,
    ! [X120,X121,X119] :
      ( ~ p4(f5(X119,f14(f16(f18(c40,X119),X121),X120)),f5(X121,f14(f16(f18(c40,X119),X121),X120)))
      | p4(f5(f9(c39,X119),X120),f5(f9(c39,X121),X120)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_56) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))))
      | p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))
      | p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0))) ),
    inference(subsumption_resolution,[],[f132,f19]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p34(c36,c37)
      | p4(f5(f26(f28(c46,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))),f5(f26(f28(c47,c37),X0),f14(f16(f18(c40,X1),X2),f30(f32(c45,c37),X0))))
      | p4(f5(f26(f28(c46,c37),X0),X3),f5(f9(X0,f26(f28(c46,c37),X0)),X3))
      | p4(f5(f9(c39,X1),f30(f32(c45,c37),X0)),f5(f9(c39,X2),f30(f32(c45,c37),X0))) ),
    inference(resolution,[],[f57,f55]) ).

fof(f55,axiom,
    ! [X120,X121,X119] :
      ( p35(f12(c37,f14(f16(f18(c40,X119),X121),X120)),X120)
      | p4(f5(f9(c39,X119),X120),f5(f9(c39,X121),X120)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_55) ).

fof(f57,axiom,
    ! [X124,X125,X122,X123] :
      ( ~ p35(f12(X122,X124),f30(f32(c45,X122),X123))
      | ~ p34(c36,X122)
      | p4(f5(f26(f28(c46,X122),X123),X124),f5(f26(f28(c47,X122),X123),X124))
      | p4(f5(f26(f28(c46,X122),X123),X125),f5(f9(X123,f26(f28(c46,X122),X123)),X125)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_57) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN687-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n005.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 17:15:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (26747)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (26751)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  % (26748)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (26752)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (26753)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (26750)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  % (26749)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (26754)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)
% 0.15/0.38  % (26752)First to succeed.
% 0.15/0.38  % (26752)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26747"
% 0.15/0.38  % (26752)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (26752)------------------------------
% 0.15/0.38  % (26752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (26752)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (26752)Memory used [KB]: 859
% 0.15/0.38  % (26752)Time elapsed: 0.007 s
% 0.15/0.38  % (26752)Instructions burned: 9 (million)
% 0.15/0.38  % (26747)Success in time 0.025 s
%------------------------------------------------------------------------------