TSTP Solution File: SWW412-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW412-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 17:32:25 EDT 2024

% Result   : Unsatisfiable 0.21s 0.47s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  20 unt;   0 def)
%            Number of atoms       :   25 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  17   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4955,plain,
    $false,
    inference(subsumption_resolution,[],[f4954,f19]) ).

fof(f19,axiom,
    heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).

fof(f4954,plain,
    ~ heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
    inference(forward_demodulation,[],[f4953,f25]) ).

fof(f25,plain,
    ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
    inference(superposition,[],[f1,f1]) ).

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

fof(f4953,plain,
    ~ heap(sep(lseg(x4,nil),sep(next(x1,x4),sep(lseg(x3,nil),sep(next(x2,x3),emp))))),
    inference(forward_demodulation,[],[f4948,f1]) ).

fof(f4948,plain,
    ~ heap(sep(next(x1,x4),sep(lseg(x4,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp))))),
    inference(unit_resulting_resolution,[],[f17,f4715,f8]) ).

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/sandbox/benchmark/theBenchmark.p',unfolding_2) ).

fof(f4715,plain,
    ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp)))),
    inference(forward_demodulation,[],[f4714,f2]) ).

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

fof(f4714,plain,
    ~ heap(sep(lseg(x1,nil),sep(lseg(x2,x2),sep(lseg(x3,nil),sep(next(x2,x3),emp))))),
    inference(forward_demodulation,[],[f4713,f25]) ).

fof(f4713,plain,
    ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),sep(lseg(x2,x2),emp))))),
    inference(forward_demodulation,[],[f4712,f25]) ).

fof(f4712,plain,
    ~ heap(sep(lseg(x3,nil),sep(next(x2,x3),sep(lseg(x1,nil),sep(lseg(x2,x2),emp))))),
    inference(forward_demodulation,[],[f2151,f1]) ).

fof(f2151,plain,
    ~ heap(sep(next(x2,x3),sep(lseg(x3,nil),sep(lseg(x1,nil),sep(lseg(x2,x2),emp))))),
    inference(unit_resulting_resolution,[],[f15,f884,f8]) ).

fof(f884,plain,
    ! [X0] : ~ heap(sep(lseg(X0,nil),sep(lseg(x1,nil),sep(lseg(x2,X0),emp)))),
    inference(superposition,[],[f868,f1]) ).

fof(f868,plain,
    ! [X0] : ~ heap(sep(lseg(x1,nil),sep(lseg(X0,nil),sep(lseg(x2,X0),emp)))),
    inference(superposition,[],[f780,f1]) ).

fof(f780,plain,
    ! [X0] : ~ heap(sep(lseg(x1,nil),sep(lseg(x2,X0),sep(lseg(X0,nil),emp)))),
    inference(forward_demodulation,[],[f718,f25]) ).

fof(f718,plain,
    ! [X0] : ~ heap(sep(lseg(x2,X0),sep(lseg(X0,nil),sep(lseg(x1,nil),emp)))),
    inference(unit_resulting_resolution,[],[f20,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X4] :
      ( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2)))
      | heap(sep(lseg(X3,nil),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unfolding_3) ).

fof(f20,axiom,
    ~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

fof(f15,axiom,
    x2 != x3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

fof(f17,axiom,
    x1 != x4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_6) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW412-1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n019.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   : Tue Apr 30 03:00:44 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (24732)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (24735)WARNING: value z3 for option sas not known
% 0.15/0.37  % (24738)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)
% 0.15/0.38  % (24733)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (24735)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)
% 0.15/0.38  % (24737)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)
% 0.15/0.38  % (24734)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (24739)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)
% 0.15/0.38  % (24736)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [3]
% 0.15/0.38  Detected maximum model sizes of [max]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  Detected minimum model sizes of [3]
% 0.15/0.39  Detected maximum model sizes of [max]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [4]
% 0.21/0.47  TRYING [4]
% 0.21/0.47  % (24739)First to succeed.
% 0.21/0.47  % (24739)Refutation found. Thanks to Tanya!
% 0.21/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48  % (24739)------------------------------
% 0.21/0.48  % (24739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.48  % (24739)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (24739)Memory used [KB]: 3095
% 0.21/0.48  % (24739)Time elapsed: 0.098 s
% 0.21/0.48  % (24739)Instructions burned: 198 (million)
% 0.21/0.48  % (24739)------------------------------
% 0.21/0.48  % (24739)------------------------------
% 0.21/0.48  % (24732)Success in time 0.115 s
%------------------------------------------------------------------------------