TSTP Solution File: NUM183-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM183-1 : 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 : n016.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 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 25 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f363,plain,
$false,
inference(subsumption_resolution,[],[f362,f160]) ).
fof(f160,axiom,
~ member(x,kind_1_ordinals),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_2) ).
fof(f362,plain,
member(x,kind_1_ordinals),
inference(subsumption_resolution,[],[f361,f324]) ).
fof(f324,plain,
member(x,universal_class),
inference(resolution,[],[f280,f159]) ).
fof(f159,axiom,
member(x,ordinal_numbers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_1) ).
fof(f280,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f361,plain,
( ~ member(x,universal_class)
| member(x,kind_1_ordinals) ),
inference(resolution,[],[f360,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f360,plain,
~ member(x,complement(kind_1_ordinals)),
inference(subsumption_resolution,[],[f354,f159]) ).
fof(f354,plain,
( ~ member(x,complement(kind_1_ordinals))
| ~ member(x,ordinal_numbers) ),
inference(resolution,[],[f23,f260]) ).
fof(f260,plain,
~ member(x,intersection(complement(kind_1_ordinals),ordinal_numbers)),
inference(backward_demodulation,[],[f161,f139]) ).
fof(f139,axiom,
intersection(complement(kind_1_ordinals),ordinal_numbers) = limit_ordinals,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',limit_ordinals) ).
fof(f161,axiom,
~ member(x,limit_ordinals),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordinals_are_kind_1_or_limit_3) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM183-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 06:29:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (30758)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)
% 0.18/0.49 % (30774)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)
% 0.18/0.50 % (30751)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50 % (30760)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)
% 0.18/0.50 % (30760)Instruction limit reached!
% 0.18/0.50 % (30760)------------------------------
% 0.18/0.50 % (30760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (30760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (30760)Termination reason: Unknown
% 0.18/0.50 % (30760)Termination phase: Equality resolution with deletion
% 0.18/0.50
% 0.18/0.50 % (30760)Memory used [KB]: 1535
% 0.18/0.50 % (30760)Time elapsed: 0.003 s
% 0.18/0.50 % (30760)Instructions burned: 3 (million)
% 0.18/0.50 % (30760)------------------------------
% 0.18/0.50 % (30760)------------------------------
% 0.18/0.50 % (30759)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)
% 0.18/0.51 % (30758)First to succeed.
% 0.18/0.51 % (30766)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)
% 0.18/0.51 % (30776)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)
% 0.18/0.51 % (30758)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (30758)------------------------------
% 0.18/0.51 % (30758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (30758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (30758)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (30758)Memory used [KB]: 1663
% 0.18/0.51 % (30758)Time elapsed: 0.101 s
% 0.18/0.51 % (30758)Instructions burned: 14 (million)
% 0.18/0.51 % (30758)------------------------------
% 0.18/0.51 % (30758)------------------------------
% 0.18/0.51 % (30747)Success in time 0.173 s
%------------------------------------------------------------------------------