TSTP Solution File: SET081-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET081-6 : 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 : n004.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 18:19:00 EDT 2022

% Result   : Unsatisfiable 1.42s 0.55s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    9 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f132,plain,
    $false,
    inference(subsumption_resolution,[],[f131,f107]) ).

fof(f107,plain,
    member(y,unordered_pair(x,x)),
    inference(definition_unfolding,[],[f92,f12]) ).

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

fof(f92,axiom,
    member(y,singleton(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_only_member_in_singleton_1) ).

fof(f131,plain,
    ~ member(y,unordered_pair(x,x)),
    inference(unit_resulting_resolution,[],[f93,f93,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X1 = X2
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f93,axiom,
    y != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_only_member_in_singleton_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SET081-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.36  % Computer : n004.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Aug 30 13:07:04 EDT 2022
% 0.13/0.36  % CPUTime    : 
% 0.20/0.50  % (11544)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50  % (11552)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  % (11544)Instruction limit reached!
% 0.20/0.52  % (11544)------------------------------
% 0.20/0.52  % (11544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (11544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (11544)Termination reason: Unknown
% 0.20/0.52  % (11544)Termination phase: Finite model building preprocessing
% 0.20/0.52  
% 0.20/0.52  % (11544)Memory used [KB]: 1535
% 0.20/0.52  % (11544)Time elapsed: 0.007 s
% 0.20/0.52  % (11544)Instructions burned: 7 (million)
% 0.20/0.52  % (11544)------------------------------
% 0.20/0.52  % (11544)------------------------------
% 1.26/0.54  % (11552)Instruction limit reached!
% 1.26/0.54  % (11552)------------------------------
% 1.26/0.54  % (11552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.54  % (11552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.54  % (11552)Termination reason: Unknown
% 1.26/0.54  % (11552)Termination phase: Saturation
% 1.26/0.54  
% 1.26/0.54  % (11552)Memory used [KB]: 6780
% 1.26/0.54  % (11552)Time elapsed: 0.114 s
% 1.26/0.54  % (11552)Instructions burned: 37 (million)
% 1.26/0.54  % (11552)------------------------------
% 1.26/0.54  % (11552)------------------------------
% 1.26/0.55  % (11530)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.42/0.55  % (11532)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.42/0.55  % (11551)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)
% 1.42/0.55  % (11532)Refutation not found, incomplete strategy% (11532)------------------------------
% 1.42/0.55  % (11532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (11532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (11532)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55  
% 1.42/0.55  % (11532)Memory used [KB]: 5884
% 1.42/0.55  % (11532)Time elapsed: 0.124 s
% 1.42/0.55  % (11532)Instructions burned: 2 (million)
% 1.42/0.55  % (11532)------------------------------
% 1.42/0.55  % (11532)------------------------------
% 1.42/0.55  % (11530)Instruction limit reached!
% 1.42/0.55  % (11530)------------------------------
% 1.42/0.55  % (11530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (11530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (11530)Termination reason: Unknown
% 1.42/0.55  % (11530)Termination phase: Property scanning
% 1.42/0.55  
% 1.42/0.55  % (11530)Memory used [KB]: 1407
% 1.42/0.55  % (11530)Time elapsed: 0.004 s
% 1.42/0.55  % (11530)Instructions burned: 7 (million)
% 1.42/0.55  % (11530)------------------------------
% 1.42/0.55  % (11530)------------------------------
% 1.42/0.55  % (11541)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.42/0.55  % (11536)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.55  % (11529)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.42/0.55  % (11536)Refutation not found, incomplete strategy% (11536)------------------------------
% 1.42/0.55  % (11536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (11536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (11536)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55  
% 1.42/0.55  % (11536)Memory used [KB]: 5884
% 1.42/0.55  % (11536)Time elapsed: 0.118 s
% 1.42/0.55  % (11536)Instructions burned: 2 (million)
% 1.42/0.55  % (11536)------------------------------
% 1.42/0.55  % (11536)------------------------------
% 1.42/0.55  % (11551)First to succeed.
% 1.42/0.55  % (11541)Instruction limit reached!
% 1.42/0.55  % (11541)------------------------------
% 1.42/0.55  % (11541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (11541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (11541)Termination reason: Unknown
% 1.42/0.55  % (11541)Termination phase: Saturation
% 1.42/0.55  
% 1.42/0.55  % (11541)Memory used [KB]: 5884
% 1.42/0.55  % (11541)Time elapsed: 0.004 s
% 1.42/0.55  % (11541)Instructions burned: 5 (million)
% 1.42/0.55  % (11541)------------------------------
% 1.42/0.55  % (11541)------------------------------
% 1.42/0.55  % (11551)Refutation found. Thanks to Tanya!
% 1.42/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.55  % (11551)------------------------------
% 1.42/0.55  % (11551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55  % (11551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55  % (11551)Termination reason: Refutation
% 1.42/0.55  
% 1.42/0.55  % (11551)Memory used [KB]: 6012
% 1.42/0.55  % (11551)Time elapsed: 0.097 s
% 1.42/0.55  % (11551)Instructions burned: 7 (million)
% 1.42/0.55  % (11551)------------------------------
% 1.42/0.55  % (11551)------------------------------
% 1.42/0.55  % (11527)Success in time 0.181 s
%------------------------------------------------------------------------------