TSTP Solution File: SET083-7 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET083-7 : 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_sat --cores 0 -t %d %s

% Computer : n020.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 18:23:36 EDT 2022

% Result   : Unsatisfiable 1.35s 0.54s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   9 unt;   0 def)
%            Number of atoms       :   15 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f297,plain,
    $false,
    inference(subsumption_resolution,[],[f296,f231]) ).

fof(f231,plain,
    ! [X5] : member(x,unordered_pair(x,X5)),
    inference(resolution,[],[f9,f128]) ).

fof(f128,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_2) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | member(X0,unordered_pair(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).

fof(f296,plain,
    ~ member(x,unordered_pair(x,x)),
    inference(forward_demodulation,[],[f279,f151]) ).

fof(f151,plain,
    unordered_pair(y,y) = unordered_pair(x,x),
    inference(definition_unfolding,[],[f127,f12,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f127,axiom,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_1) ).

fof(f279,plain,
    ~ member(x,unordered_pair(y,y)),
    inference(extensionality_resolution,[],[f166,f129]) ).

fof(f129,axiom,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_3) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ member(X1,unordered_pair(X0,X0))
      | X0 = X1 ),
    inference(definition_unfolding,[],[f125,f12]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | ~ member(X1,singleton(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET083-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 13:14:00 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (8657)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.50  % (8681)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.50  % (8679)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)
% 0.21/0.51  % (8663)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)
% 0.21/0.51  % (8665)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (8668)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  % (8665)Instruction limit reached!
% 0.21/0.52  % (8665)------------------------------
% 0.21/0.52  % (8665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (8665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (8671)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)
% 0.21/0.52  % (8665)Termination reason: Unknown
% 0.21/0.52  % (8665)Termination phase: Property scanning
% 0.21/0.52  
% 0.21/0.52  % (8665)Memory used [KB]: 1023
% 0.21/0.52  % (8665)Time elapsed: 0.003 s
% 0.21/0.52  % (8665)Instructions burned: 3 (million)
% 0.21/0.52  % (8665)------------------------------
% 0.21/0.52  % (8665)------------------------------
% 0.21/0.52  % (8669)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52  % (8680)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53  % (8679)First to succeed.
% 1.35/0.53  % (8664)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.53  % (8660)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.35/0.54  % (8679)Refutation found. Thanks to Tanya!
% 1.35/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.35/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.35/0.54  % (8679)------------------------------
% 1.35/0.54  % (8679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (8679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (8679)Termination reason: Refutation
% 1.35/0.54  
% 1.35/0.54  % (8679)Memory used [KB]: 1151
% 1.35/0.54  % (8679)Time elapsed: 0.128 s
% 1.35/0.54  % (8679)Instructions burned: 10 (million)
% 1.35/0.54  % (8679)------------------------------
% 1.35/0.54  % (8679)------------------------------
% 1.35/0.54  % (8656)Success in time 0.178 s
%------------------------------------------------------------------------------