TSTP Solution File: SWW407-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW407-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 07:22:45 EDT 2024

% Result   : Unsatisfiable 39.47s 6.04s
% Output   : Refutation 39.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  15 unt;   0 def)
%            Number of atoms       :   32 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  10   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26981,plain,
    $false,
    inference(subsumption_resolution,[],[f26980,f43]) ).

fof(f43,plain,
    ~ heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
    inference(forward_demodulation,[],[f32,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).

fof(f32,plain,
    ~ heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
    inference(superposition,[],[f21,f1]) ).

fof(f21,axiom,
    ~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

fof(f26980,plain,
    heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
    inference(forward_demodulation,[],[f26801,f170]) ).

fof(f170,plain,
    ! [X2,X3,X0,X1] : sep(X1,sep(X2,sep(X0,X3))) = sep(X1,sep(X0,sep(X2,X3))),
    inference(superposition,[],[f24,f1]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
    inference(superposition,[],[f1,f1]) ).

fof(f26801,plain,
    heap(sep(lseg(x3,x2),sep(next(x2,x4),sep(lseg(x4,nil),emp)))),
    inference(resolution,[],[f1878,f22464]) ).

fof(f22464,plain,
    heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
    inference(subsumption_resolution,[],[f22331,f16]) ).

fof(f16,axiom,
    x1 != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).

fof(f22331,plain,
    ( heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp)))))
    | x1 = x2 ),
    inference(resolution,[],[f935,f813]) ).

fof(f813,plain,
    heap(sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x1,x2),sep(next(x2,x4),emp))))),
    inference(forward_demodulation,[],[f812,f170]) ).

fof(f812,plain,
    heap(sep(lseg(x3,x1),sep(next(x1,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
    inference(forward_demodulation,[],[f20,f1]) ).

fof(f20,axiom,
    heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).

fof(f935,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ heap(sep(X2,sep(X3,sep(next(X0,X1),X4))))
      | heap(sep(lseg(X0,X1),sep(X2,sep(X3,X4))))
      | X0 = X1 ),
    inference(superposition,[],[f910,f24]) ).

fof(f910,plain,
    ! [X2,X0,X1] :
      ( ~ heap(sep(next(X2,X0),X1))
      | heap(sep(lseg(X2,X0),X1))
      | X0 = X2 ),
    inference(superposition,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).

fof(f8,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
      | heap(sep(lseg(X3,X5),X2))
      | X3 = X4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).

fof(f1878,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ heap(sep(lseg(X4,X0),sep(lseg(X5,X4),sep(X2,sep(next(X0,X1),X3)))))
      | heap(sep(lseg(X5,X0),sep(next(X0,X1),sep(X2,X3)))) ),
    inference(superposition,[],[f962,f1]) ).

fof(f962,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(next(X2,X3),X4))))
      | heap(sep(lseg(X0,X2),sep(next(X2,X3),X4))) ),
    inference(superposition,[],[f10,f1]) ).

fof(f10,axiom,
    ! [X2,X3,X6,X4,X5] :
      ( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(next(X5,X6),X2))))
      | heap(sep(lseg(X3,X5),sep(next(X5,X6),X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : SWW407-1 : TPTP v8.2.0. Released v5.2.0.
% 0.10/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.39  % Computer : n025.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Sat May 18 20:24:23 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.15/0.39  % (12515)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.41  % (12518)WARNING: value z3 for option sas not known
% 0.25/0.41  % (12518)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.25/0.41  % (12520)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.25/0.41  % (12517)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.25/0.41  % (12522)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.25/0.41  % (12519)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.25/0.41  % (12521)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.25/0.41  % (12516)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.25/0.42  TRYING [1]
% 0.25/0.42  TRYING [2]
% 0.25/0.42  TRYING [3]
% 0.25/0.42  TRYING [1]
% 0.25/0.42  TRYING [2]
% 0.25/0.43  TRYING [3]
% 0.25/0.44  TRYING [4]
% 0.25/0.50  TRYING [4]
% 0.25/0.54  TRYING [5]
% 3.90/0.96  TRYING [6]
% 8.02/1.52  TRYING [1]
% 8.02/1.52  TRYING [2]
% 8.02/1.52  TRYING [3]
% 8.11/1.54  TRYING [4]
% 8.66/1.63  TRYING [5]
% 10.13/1.87  TRYING [7]
% 12.91/2.24  TRYING [6]
% 24.75/3.97  TRYING [8]
% 29.07/4.53  TRYING [7]
% 39.47/6.02  TRYING [5]
% 39.47/6.04  % (12518)First to succeed.
% 39.47/6.04  % (12518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12515"
% 39.47/6.04  % (12518)Refutation found. Thanks to Tanya!
% 39.47/6.04  % SZS status Unsatisfiable for theBenchmark
% 39.47/6.04  % SZS output start Proof for theBenchmark
% See solution above
% 39.47/6.04  % (12518)------------------------------
% 39.47/6.04  % (12518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 39.47/6.04  % (12518)Termination reason: Refutation
% 39.47/6.04  
% 39.47/6.04  % (12518)Memory used [KB]: 36638
% 39.47/6.04  % (12518)Time elapsed: 5.634 s
% 39.47/6.04  % (12518)Instructions burned: 13277 (million)
% 39.47/6.04  % (12515)Success in time 5.602 s
%------------------------------------------------------------------------------