TSTP Solution File: NUM180-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM180-1 : 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 : n012.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 17:57:21 EDT 2022

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f279,plain,
    $false,
    inference(subsumption_resolution,[],[f277,f267]) ).

fof(f267,plain,
    ~ member(not_subclass_element(intersection(complement(kind_1_ordinals),ordinal_numbers),ordinal_numbers),ordinal_numbers),
    inference(resolution,[],[f3,f258]) ).

fof(f258,plain,
    ~ subclass(intersection(complement(kind_1_ordinals),ordinal_numbers),ordinal_numbers),
    inference(backward_demodulation,[],[f159,f139]) ).

fof(f139,axiom,
    intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',limit_ordinals) ).

fof(f159,axiom,
    ~ subclass(limit_ordinals,ordinal_numbers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_limit_ordinals_are_ordinals_1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f277,plain,
    member(not_subclass_element(intersection(complement(kind_1_ordinals),ordinal_numbers),ordinal_numbers),ordinal_numbers),
    inference(resolution,[],[f22,f266]) ).

fof(f266,plain,
    member(not_subclass_element(intersection(complement(kind_1_ordinals),ordinal_numbers),ordinal_numbers),intersection(complement(kind_1_ordinals),ordinal_numbers)),
    inference(resolution,[],[f2,f258]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : NUM180-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30  % Computer : n012.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Aug 30 06:04:50 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.15/0.46  % (29180)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.46  % (29158)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)
% 0.15/0.46  % (29162)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.46  % (29164)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)
% 0.15/0.46  % (29168)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)
% 0.15/0.46  % (29168)Instruction limit reached!
% 0.15/0.46  % (29168)------------------------------
% 0.15/0.46  % (29168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (29172)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47  % (29184)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.15/0.47  % (29164)Instruction limit reached!
% 0.15/0.47  % (29164)------------------------------
% 0.15/0.47  % (29164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (29164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (29164)Termination reason: Unknown
% 0.15/0.47  % (29164)Termination phase: Function definition elimination
% 0.15/0.47  
% 0.15/0.47  % (29164)Memory used [KB]: 1535
% 0.15/0.47  % (29164)Time elapsed: 0.005 s
% 0.15/0.47  % (29164)Instructions burned: 3 (million)
% 0.15/0.47  % (29164)------------------------------
% 0.15/0.47  % (29164)------------------------------
% 0.15/0.47  % (29179)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)
% 0.15/0.47  % (29168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (29168)Termination reason: Unknown
% 0.15/0.47  % (29168)Termination phase: Saturation
% 0.15/0.47  
% 0.15/0.47  % (29168)Memory used [KB]: 1535
% 0.15/0.47  % (29168)Time elapsed: 0.004 s
% 0.15/0.47  % (29168)Instructions burned: 6 (million)
% 0.15/0.47  % (29168)------------------------------
% 0.15/0.47  % (29168)------------------------------
% 0.15/0.47  % (29158)Instruction limit reached!
% 0.15/0.47  % (29158)------------------------------
% 0.15/0.47  % (29158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47  % (29158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47  % (29158)Termination reason: Unknown
% 0.15/0.47  % (29158)Termination phase: Property scanning
% 0.15/0.47  
% 0.15/0.47  % (29158)Memory used [KB]: 1535
% 0.15/0.47  % (29158)Time elapsed: 0.005 s
% 0.15/0.47  % (29158)Instructions burned: 5 (million)
% 0.15/0.47  % (29158)------------------------------
% 0.15/0.47  % (29158)------------------------------
% 0.15/0.47  % (29176)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.47  % (29162)First to succeed.
% 0.15/0.48  % (29171)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)
% 0.15/0.48  % (29178)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)
% 0.15/0.48  % (29176)Instruction limit reached!
% 0.15/0.48  % (29176)------------------------------
% 0.15/0.48  % (29176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (29176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (29176)Termination reason: Unknown
% 0.15/0.48  % (29176)Termination phase: Property scanning
% 0.15/0.48  
% 0.15/0.48  % (29176)Memory used [KB]: 1535
% 0.15/0.48  % (29176)Time elapsed: 0.007 s
% 0.15/0.48  % (29176)Instructions burned: 7 (million)
% 0.15/0.48  % (29176)------------------------------
% 0.15/0.48  % (29176)------------------------------
% 0.15/0.48  % (29172)Instruction limit reached!
% 0.15/0.48  % (29172)------------------------------
% 0.15/0.48  % (29172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48  % (29172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48  % (29172)Termination reason: Unknown
% 0.15/0.48  % (29172)Termination phase: Function definition elimination
% 0.15/0.48  
% 0.15/0.48  % (29172)Memory used [KB]: 1535
% 0.15/0.48  % (29172)Time elapsed: 0.005 s
% 0.15/0.48  % (29172)Instructions burned: 3 (million)
% 0.15/0.48  % (29172)------------------------------
% 0.15/0.48  % (29172)------------------------------
% 0.15/0.48  % (29170)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.49  % (29184)Instruction limit reached!
% 0.15/0.49  % (29184)------------------------------
% 0.15/0.49  % (29184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (29184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (29184)Termination reason: Unknown
% 0.15/0.49  % (29184)Termination phase: Saturation
% 0.15/0.49  
% 0.15/0.49  % (29184)Memory used [KB]: 6396
% 0.15/0.49  % (29184)Time elapsed: 0.126 s
% 0.15/0.49  % (29184)Instructions burned: 20 (million)
% 0.15/0.49  % (29184)------------------------------
% 0.15/0.49  % (29184)------------------------------
% 0.15/0.49  % (29171)Instruction limit reached!
% 0.15/0.49  % (29171)------------------------------
% 0.15/0.49  % (29171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (29171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (29171)Termination reason: Unknown
% 0.15/0.49  % (29171)Termination phase: Finite model building preprocessing
% 0.15/0.49  
% 0.15/0.49  % (29171)Memory used [KB]: 1535
% 0.15/0.49  % (29171)Time elapsed: 0.006 s
% 0.15/0.49  % (29171)Instructions burned: 7 (million)
% 0.15/0.49  % (29171)------------------------------
% 0.15/0.49  % (29171)------------------------------
% 0.15/0.49  % (29162)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (29162)------------------------------
% 0.15/0.49  % (29162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49  % (29162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49  % (29162)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (29162)Memory used [KB]: 1663
% 0.15/0.49  % (29162)Time elapsed: 0.110 s
% 0.15/0.49  % (29162)Instructions burned: 11 (million)
% 0.15/0.49  % (29162)------------------------------
% 0.15/0.49  % (29162)------------------------------
% 0.15/0.49  % (29155)Success in time 0.178 s
%------------------------------------------------------------------------------