TSTP Solution File: SET245-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET245-6 : 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_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 18:24:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 51 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f392,plain,
$false,
inference(subsumption_resolution,[],[f390,f366]) ).
fof(f366,plain,
member(not_subclass_element(complement(universal_class),intersection(complement(universal_class),cross_product(x,y))),universal_class),
inference(backward_demodulation,[],[f297,f350]) ).
fof(f350,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f346]) ).
fof(f346,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f184,f237]) ).
fof(f237,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f193,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f193,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,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f184,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(f297,plain,
member(not_subclass_element(null_class,intersection(null_class,cross_product(x,y))),universal_class),
inference(backward_demodulation,[],[f244,f166]) ).
fof(f166,plain,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = intersection(cross_product(X0,X1),X5),
inference(definition_unfolding,[],[f28,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(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f244,plain,
member(not_subclass_element(null_class,intersection(cross_product(x,y),null_class)),universal_class),
inference(resolution,[],[f193,f231]) ).
fof(f231,plain,
member(not_subclass_element(null_class,intersection(cross_product(x,y),null_class)),null_class),
inference(subsumption_resolution,[],[f229,f226]) ).
fof(f226,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),null_class),null_class),null_class)
| member(not_subclass_element(null_class,intersection(cross_product(x,y),null_class)),null_class) ),
inference(resolution,[],[f223,f2]) ).
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(f223,plain,
( ~ subclass(null_class,intersection(cross_product(x,y),null_class))
| ~ member(not_subclass_element(intersection(cross_product(x,y),null_class),null_class),null_class) ),
inference(resolution,[],[f207,f3]) ).
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(f207,plain,
( ~ subclass(intersection(cross_product(x,y),null_class),null_class)
| ~ subclass(null_class,intersection(cross_product(x,y),null_class)) ),
inference(extensionality_resolution,[],[f7,f144]) ).
fof(f144,plain,
null_class != intersection(cross_product(x,y),null_class),
inference(definition_unfolding,[],[f113,f29]) ).
fof(f113,axiom,
null_class != restrict(null_class,x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_null_class1_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f229,plain,
( member(not_subclass_element(intersection(cross_product(x,y),null_class),null_class),null_class)
| member(not_subclass_element(null_class,intersection(cross_product(x,y),null_class)),null_class) ),
inference(resolution,[],[f228,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f228,plain,
( member(not_subclass_element(intersection(cross_product(x,y),null_class),null_class),intersection(cross_product(x,y),null_class))
| member(not_subclass_element(null_class,intersection(cross_product(x,y),null_class)),null_class) ),
inference(resolution,[],[f224,f2]) ).
fof(f224,plain,
( ~ subclass(null_class,intersection(cross_product(x,y),null_class))
| member(not_subclass_element(intersection(cross_product(x,y),null_class),null_class),intersection(cross_product(x,y),null_class)) ),
inference(resolution,[],[f207,f2]) ).
fof(f390,plain,
~ member(not_subclass_element(complement(universal_class),intersection(complement(universal_class),cross_product(x,y))),universal_class),
inference(resolution,[],[f364,f24]) ).
fof(f364,plain,
member(not_subclass_element(complement(universal_class),intersection(complement(universal_class),cross_product(x,y))),complement(universal_class)),
inference(backward_demodulation,[],[f295,f350]) ).
fof(f295,plain,
member(not_subclass_element(null_class,intersection(null_class,cross_product(x,y))),null_class),
inference(backward_demodulation,[],[f231,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET245-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n020.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 13:33:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (1292)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)
% 0.18/0.49 % (1308)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)
% 0.18/0.49 % (1310)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.49 % (1301)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)
% 0.18/0.49 % (1300)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)
% 0.18/0.50 % (1288)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)
% 0.18/0.50 % (1293)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (1293)Instruction limit reached!
% 0.18/0.51 % (1293)------------------------------
% 0.18/0.51 % (1293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (1293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (1293)Termination reason: Unknown
% 0.18/0.51 % (1293)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (1293)Memory used [KB]: 5500
% 0.18/0.51 % (1293)Time elapsed: 0.078 s
% 0.18/0.51 % (1293)Instructions burned: 7 (million)
% 0.18/0.51 % (1293)------------------------------
% 0.18/0.51 % (1293)------------------------------
% 0.18/0.52 % (1287)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)
% 0.18/0.52 % (1308)First to succeed.
% 0.18/0.52 % (1289)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)
% 0.18/0.53 % (1286)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)
% 0.18/0.54 % (1296)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (1290)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 % (1305)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)
% 0.18/0.54 % (1301)Also succeeded, but the first one will report.
% 0.18/0.54 % (1308)Refutation found. Thanks to Tanya!
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (1308)------------------------------
% 0.18/0.54 % (1308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (1308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (1308)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (1308)Memory used [KB]: 1279
% 0.18/0.54 % (1308)Time elapsed: 0.136 s
% 0.18/0.54 % (1308)Instructions burned: 18 (million)
% 0.18/0.54 % (1308)------------------------------
% 0.18/0.54 % (1308)------------------------------
% 0.18/0.54 % (1285)Success in time 0.203 s
%------------------------------------------------------------------------------