TSTP Solution File: NUM181-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM181-1 : 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_sat --cores 0 -t %d %s
% Computer : n019.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 18:03:38 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 39 ( 28 unt; 0 def)
% Number of atoms : 52 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f599,plain,
$false,
inference(subsumption_resolution,[],[f597,f439]) ).
fof(f439,plain,
! [X1] : member(complement(universal_class),unordered_pair(complement(universal_class),X1)),
inference(backward_demodulation,[],[f323,f420]) ).
fof(f420,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f414]) ).
fof(f414,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f262,f321]) ).
fof(f321,plain,
! [X5] :
( member(regular(X5),universal_class)
| null_class = X5 ),
inference(resolution,[],[f277,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f277,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/sandbox/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/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f262,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f323,plain,
! [X1] : member(null_class,unordered_pair(null_class,X1)),
inference(resolution,[],[f313,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f313,plain,
member(null_class,universal_class),
inference(resolution,[],[f277,f258]) ).
fof(f258,plain,
member(null_class,intersection(complement(kind_1_ordinals),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,
member(null_class,limit_ordinals),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_not_a_limit_ordinal_1) ).
fof(f597,plain,
~ member(complement(universal_class),unordered_pair(complement(universal_class),complement(universal_class))),
inference(resolution,[],[f593,f24]) ).
fof(f593,plain,
member(complement(universal_class),complement(unordered_pair(complement(universal_class),complement(universal_class)))),
inference(resolution,[],[f591,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f591,plain,
member(complement(universal_class),intersection(complement(unordered_pair(complement(universal_class),complement(universal_class))),complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(ordinal_numbers,universal_class),successor_relation),universal_class))))))),
inference(subsumption_resolution,[],[f590,f436]) ).
fof(f436,plain,
member(complement(universal_class),universal_class),
inference(backward_demodulation,[],[f313,f420]) ).
fof(f590,plain,
( ~ member(complement(universal_class),universal_class)
| member(complement(universal_class),intersection(complement(unordered_pair(complement(universal_class),complement(universal_class))),complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(ordinal_numbers,universal_class),successor_relation),universal_class))))))) ),
inference(resolution,[],[f585,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f585,plain,
~ member(complement(universal_class),complement(intersection(complement(unordered_pair(complement(universal_class),complement(universal_class))),complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(ordinal_numbers,universal_class),successor_relation),universal_class)))))))),
inference(backward_demodulation,[],[f433,f555]) ).
fof(f555,plain,
kind_1_ordinals = complement(intersection(complement(unordered_pair(complement(universal_class),complement(universal_class))),complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(ordinal_numbers,universal_class),successor_relation),universal_class))))))),
inference(forward_demodulation,[],[f182,f420]) ).
fof(f182,plain,
kind_1_ordinals = complement(intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(ordinal_numbers,universal_class),successor_relation),universal_class))))))),
inference(definition_unfolding,[],[f138,f26,f12,f164]) ).
fof(f164,plain,
! [X0,X5] : image(X5,X0) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X5),universal_class)))),
inference(definition_unfolding,[],[f42,f161,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f161,plain,
! [X4] : range_of(X4) = domain_of(domain_of(flip(cross_product(X4,universal_class)))),
inference(definition_unfolding,[],[f39,f38]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f39,axiom,
! [X4] : domain_of(inverse(X4)) = range_of(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f42,axiom,
! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f138,axiom,
union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kind_1_ordinals) ).
fof(f433,plain,
~ member(complement(universal_class),kind_1_ordinals),
inference(backward_demodulation,[],[f274,f420]) ).
fof(f274,plain,
~ member(null_class,kind_1_ordinals),
inference(resolution,[],[f272,f24]) ).
fof(f272,plain,
member(null_class,complement(kind_1_ordinals)),
inference(resolution,[],[f21,f258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM181-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 06:09:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (18055)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 % (18063)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.50 % (18039)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (18035)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (18047)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (18036)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (18041)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (18041)Instruction limit reached!
% 0.19/0.51 % (18041)------------------------------
% 0.19/0.51 % (18041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18041)Termination reason: Unknown
% 0.19/0.51 % (18041)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (18041)Memory used [KB]: 5628
% 0.19/0.51 % (18041)Time elapsed: 0.124 s
% 0.19/0.51 % (18041)Instructions burned: 9 (million)
% 0.19/0.51 % (18041)------------------------------
% 0.19/0.51 % (18041)------------------------------
% 0.19/0.51 % (18056)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)
% 0.19/0.52 % (18045)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)
% 0.19/0.52 % (18034)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)
% 0.19/0.52 % (18048)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)
% 0.19/0.52 % (18058)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (18061)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 % (18054)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.52 % (18060)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)
% 0.19/0.53 % (18038)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (18037)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)
% 0.19/0.53 % (18049)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.53 % (18050)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (18062)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (18040)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)
% 0.19/0.53 % (18053)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (18052)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (18051)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (18042)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (18057)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)
% 0.19/0.54 % (18042)Instruction limit reached!
% 0.19/0.54 % (18042)------------------------------
% 0.19/0.54 % (18042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (18042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (18042)Termination reason: Unknown
% 0.19/0.54 % (18042)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (18042)Memory used [KB]: 1023
% 0.19/0.54 % (18042)Time elapsed: 0.004 s
% 0.19/0.54 % (18042)Instructions burned: 3 (million)
% 0.19/0.54 % (18042)------------------------------
% 0.19/0.54 % (18042)------------------------------
% 0.19/0.54 % (18059)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (18046)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (18044)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (18043)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (18056)First to succeed.
% 0.19/0.57 % (18056)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (18056)------------------------------
% 0.19/0.57 % (18056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (18056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (18056)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (18056)Memory used [KB]: 1535
% 0.19/0.57 % (18056)Time elapsed: 0.128 s
% 0.19/0.57 % (18056)Instructions burned: 30 (million)
% 0.19/0.57 % (18056)------------------------------
% 0.19/0.57 % (18056)------------------------------
% 0.19/0.57 % (18033)Success in time 0.225 s
%------------------------------------------------------------------------------