TSTP Solution File: PUZ039-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ039-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 08:49:46 EDT 2024

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-12 aty)
%            Number of functors    :   14 (  14 usr;   1 con; 0-2 aty)
%            Number of variables   :   84 (  84   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1009,plain,
    $false,
    inference(subsumption_resolution,[],[f1006,f43]) ).

fof(f43,axiom,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X15,X5,X12] : ~ state(X0,X1,X2,X3,v4(s(s(o)),s(s(o))),X5,X12,X8,X9,X10,X15,X11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_state) ).

fof(f1006,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),
    inference(resolution,[],[f545,f30]) ).

fof(f30,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X5,X12] :
      ( ~ state(X0,X1,X2,X3,v4(X6,s(X7)),X5,X12,X8,X9,X10,e1(X6,X7),e2(s(X6),X7))
      | state(X0,X1,X2,X3,v4(X6,X7),X5,X12,X8,X9,X10,e1(X6,s(X7)),e2(s(X6),s(X7))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v4_left) ).

fof(f545,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),
    inference(resolution,[],[f275,f34]) ).

fof(f34,axiom,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X12] :
      ( ~ state(X0,X1,X2,X3,X4,h(X6,s(X7)),X12,X8,X9,X10,e1(X6,X7),X11)
      | state(X0,X1,X2,X3,X4,h(X6,X7),X12,X8,X9,X10,e1(X6,s(s(X7))),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_left) ).

fof(f275,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),
    inference(resolution,[],[f135,f41]) ).

fof(f41,axiom,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
      ( ~ state(X0,X1,X2,X3,X4,X5,X12,X8,X9,X10,e1(X6,X7),e2(X13,X14))
      | state(X0,X1,X2,X3,X4,X5,X12,X8,X9,X10,e1(X13,X14),e2(X6,X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',swap_blanks) ).

fof(f135,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(o)),o)),
    inference(resolution,[],[f70,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X10,X0,X11,X1,X6,X9,X7,X4,X5,X12] :
      ( ~ state(X0,X1,X2,X3,X4,X5,X12,s2(X6,X7),X9,X10,e1(s(X6),X7),X11)
      | state(X0,X1,X2,X3,X4,X5,X12,s2(s(X6),X7),X9,X10,e1(X6,X7),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_down) ).

fof(f70,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),
    inference(resolution,[],[f50,f13]) ).

fof(f13,axiom,
    ! [X2,X3,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ state(X0,X1,X2,X3,X4,X5,X12,X8,X9,s4(X6,X7),e1(X6,s(X7)),X11)
      | state(X0,X1,X2,X3,X4,X5,X12,X8,X9,s4(X6,s(X7)),e1(X6,X7),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s4_right) ).

fof(f50,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),
    inference(resolution,[],[f44,f41]) ).

fof(f44,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
    inference(resolution,[],[f42,f27]) ).

fof(f27,axiom,
    ! [X2,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
      ( ~ state(X0,X1,X2,v3(X6,X7),X4,X5,X12,X8,X9,X10,e1(s(s(X6)),X7),X11)
      | state(X0,X1,X2,v3(s(X6),X7),X4,X5,X12,X8,X9,X10,e1(X6,X7),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v3_down) ).

fof(f42,axiom,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ039-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 18:03:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (864)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36  % (870)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)
% 0.13/0.37  % (869)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (872)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (868)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (874)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)
% 0.13/0.37  % (871)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (873)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [1]
% 0.20/0.40  TRYING [2]
% 0.20/0.40  TRYING [2]
% 0.20/0.40  TRYING [2]
% 0.20/0.40  TRYING [2]
% 0.20/0.44  % (873)First to succeed.
% 0.20/0.44  % (873)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-864"
% 0.20/0.44  % (873)Refutation found. Thanks to Tanya!
% 0.20/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44  % (873)------------------------------
% 0.20/0.44  % (873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44  % (873)Termination reason: Refutation
% 0.20/0.44  
% 0.20/0.44  % (873)Memory used [KB]: 1073
% 0.20/0.44  % (873)Time elapsed: 0.075 s
% 0.20/0.44  % (873)Instructions burned: 155 (million)
% 0.20/0.44  % (864)Success in time 0.097 s
%------------------------------------------------------------------------------