TSTP Solution File: SWW423-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW423-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 19:19:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   22 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_3,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_4,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_5,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f329,plain,
    $false,
    inference(subsumption_resolution,[],[f328,f32]) ).

fof(f32,plain,
    ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
    inference(literal_reordering,[],[f16]) ).

fof(f16,axiom,
    ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).

fof(f328,plain,
    heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
    inference(subsumption_resolution,[],[f318,f30]) ).

fof(f30,plain,
    x1 != x2,
    inference(literal_reordering,[],[f13]) ).

fof(f13,axiom,
    x1 != x2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).

fof(f318,plain,
    ( x1 = x2
    | heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))) ),
    inference(resolution,[],[f120,f97]) ).

fof(f97,plain,
    heap(sep(lseg(x2,nil),sep(next(x1,x2),sep(lseg(x3,nil),emp)))),
    inference(forward_demodulation,[],[f25,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    inference(literal_reordering,[],[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(f25,plain,
    heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
    inference(literal_reordering,[],[f15]) ).

fof(f15,axiom,
    heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_4) ).

fof(f120,plain,
    ! [X2,X3,X0,X1] :
      ( ~ heap(sep(lseg(X1,X2),sep(next(X0,X1),X3)))
      | heap(sep(lseg(X0,X2),X3))
      | X0 = X1 ),
    inference(superposition,[],[f22,f27]) ).

fof(f22,plain,
    ! [X2,X3,X4,X5] :
      ( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
      | heap(sep(lseg(X3,X5),X2))
      | X3 = X4 ),
    inference(literal_reordering,[],[f8]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW423-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.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   : Tue Aug 30 20:45:04 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  % (2823)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.48  % (2815)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.48  % (2808)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (2827)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (2807)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  TRYING [1]
% 0.20/0.50  % (2819)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  TRYING [2]
% 0.20/0.50  % (2808)Instruction limit reached!
% 0.20/0.50  % (2808)------------------------------
% 0.20/0.50  % (2808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (2808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (2808)Termination reason: Unknown
% 0.20/0.50  % (2808)Termination phase: Saturation
% 0.20/0.50  
% 0.20/0.50  % (2808)Memory used [KB]: 5500
% 0.20/0.50  % (2808)Time elapsed: 0.119 s
% 0.20/0.50  % (2808)Instructions burned: 8 (million)
% 0.20/0.50  % (2808)------------------------------
% 0.20/0.50  % (2808)------------------------------
% 0.20/0.51  % (2805)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (2810)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (2809)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (2815)First to succeed.
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (2815)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (2815)------------------------------
% 0.20/0.52  % (2815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2815)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (2815)Memory used [KB]: 6140
% 0.20/0.52  % (2815)Time elapsed: 0.015 s
% 0.20/0.52  % (2815)Instructions burned: 23 (million)
% 0.20/0.52  % (2815)------------------------------
% 0.20/0.52  % (2815)------------------------------
% 0.20/0.52  % (2800)Success in time 0.165 s
%------------------------------------------------------------------------------