TSTP Solution File: SET094-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET094-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:19:07 EDT 2022

% Result   : Unsatisfiable 1.76s 0.60s
% Output   : Refutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   8 unt;   0 def)
%            Number of atoms       :   11 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f143,plain,
    $false,
    inference(subsumption_resolution,[],[f142,f93]) ).

fof(f93,axiom,
    member(y,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).

fof(f142,plain,
    ~ member(y,x),
    inference(forward_demodulation,[],[f138,f123]) ).

fof(f123,plain,
    x = unordered_pair(member_of(x),member_of(x)),
    inference(definition_unfolding,[],[f92,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).

fof(f92,axiom,
    x = singleton(member_of(x)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).

fof(f138,plain,
    ~ member(y,unordered_pair(member_of(x),member_of(x))),
    inference(unit_resulting_resolution,[],[f94,f94,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f94,axiom,
    member_of(x) != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET094-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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   : Tue Aug 30 13:16:07 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  % (20167)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57  % (20164)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.57  % (20167)Instruction limit reached!
% 0.20/0.57  % (20167)------------------------------
% 0.20/0.57  % (20167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (20167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (20167)Termination reason: Unknown
% 0.20/0.57  % (20167)Termination phase: Property scanning
% 0.20/0.57  
% 0.20/0.57  % (20167)Memory used [KB]: 1407
% 0.20/0.57  % (20167)Time elapsed: 0.004 s
% 0.20/0.57  % (20167)Instructions burned: 3 (million)
% 0.20/0.57  % (20167)------------------------------
% 0.20/0.57  % (20167)------------------------------
% 0.20/0.58  % (20159)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.59  % (20181)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.60  % (20162)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.76/0.60  % (20181)First to succeed.
% 1.76/0.60  % (20162)Refutation not found, incomplete strategy% (20162)------------------------------
% 1.76/0.60  % (20162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (20162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (20162)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.60  
% 1.76/0.60  % (20162)Memory used [KB]: 5884
% 1.76/0.60  % (20162)Time elapsed: 0.178 s
% 1.76/0.60  % (20162)Instructions burned: 3 (million)
% 1.76/0.60  % (20162)------------------------------
% 1.76/0.60  % (20162)------------------------------
% 1.76/0.60  % (20172)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.76/0.60  % (20177)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.76/0.60  % (20181)Refutation found. Thanks to Tanya!
% 1.76/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.76/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.60  % (20181)------------------------------
% 1.76/0.60  % (20181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.60  % (20181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.60  % (20181)Termination reason: Refutation
% 1.76/0.60  
% 1.76/0.60  % (20181)Memory used [KB]: 6012
% 1.76/0.60  % (20181)Time elapsed: 0.170 s
% 1.76/0.60  % (20181)Instructions burned: 7 (million)
% 1.76/0.60  % (20181)------------------------------
% 1.76/0.60  % (20181)------------------------------
% 1.76/0.60  % (20158)Success in time 0.248 s
%------------------------------------------------------------------------------