TSTP Solution File: SET173-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET173-6 : 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 : 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 18:24:03 EDT 2022
% Result : Unsatisfiable 1.41s 0.55s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 56 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f337,plain,
$false,
inference(subsumption_resolution,[],[f335,f241]) ).
fof(f241,plain,
member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),x),
inference(subsumption_resolution,[],[f239,f235]) ).
fof(f235,plain,
( ~ member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),x)
| member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),x) ),
inference(resolution,[],[f232,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f232,plain,
( ~ subclass(x,intersection(x,complement(intersection(complement(x),complement(y)))))
| ~ member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),x) ),
inference(resolution,[],[f216,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f216,plain,
( ~ subclass(intersection(x,complement(intersection(complement(x),complement(y)))),x)
| ~ subclass(x,intersection(x,complement(intersection(complement(x),complement(y))))) ),
inference(extensionality_resolution,[],[f7,f151]) ).
fof(f151,plain,
x != intersection(x,complement(intersection(complement(x),complement(y)))),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f113,axiom,
x != intersection(x,union(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_absorbtion_for_intersection_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f239,plain,
( member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),x)
| member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),x) ),
inference(resolution,[],[f237,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f237,plain,
( member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),intersection(x,complement(intersection(complement(x),complement(y)))))
| member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),x) ),
inference(resolution,[],[f233,f2]) ).
fof(f233,plain,
( ~ subclass(x,intersection(x,complement(intersection(complement(x),complement(y)))))
| member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),intersection(x,complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f216,f2]) ).
fof(f335,plain,
~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),x),
inference(resolution,[],[f331,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f331,plain,
member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),complement(x)),
inference(resolution,[],[f329,f21]) ).
fof(f329,plain,
member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))),
inference(subsumption_resolution,[],[f328,f246]) ).
fof(f246,plain,
member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),universal_class),
inference(resolution,[],[f241,f193]) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f328,plain,
( ~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),universal_class)
| member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),intersection(complement(x),complement(y))) ),
inference(resolution,[],[f327,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(f327,plain,
~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),complement(intersection(complement(x),complement(y)))),
inference(subsumption_resolution,[],[f324,f241]) ).
fof(f324,plain,
( ~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),complement(intersection(complement(x),complement(y))))
| ~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),x) ),
inference(resolution,[],[f23,f245]) ).
fof(f245,plain,
~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),intersection(x,complement(intersection(complement(x),complement(y))))),
inference(subsumption_resolution,[],[f243,f234]) ).
fof(f234,plain,
( ~ member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),x)
| ~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),intersection(x,complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f232,f3]) ).
fof(f243,plain,
( member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),x)
| ~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),intersection(x,complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f236,f21]) ).
fof(f236,plain,
( member(not_subclass_element(intersection(x,complement(intersection(complement(x),complement(y)))),x),intersection(x,complement(intersection(complement(x),complement(y)))))
| ~ member(not_subclass_element(x,intersection(x,complement(intersection(complement(x),complement(y))))),intersection(x,complement(intersection(complement(x),complement(y))))) ),
inference(resolution,[],[f233,f3]) ).
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
% 0.07/0.12 % Problem : SET173-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:33:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (3977)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)
% 0.19/0.50 % (4002)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)
% 0.19/0.50 % (3996)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (3994)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)
% 0.19/0.51 % (3985)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (3983)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (3986)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)
% 0.19/0.51 % (3983)Instruction limit reached!
% 0.19/0.51 % (3983)------------------------------
% 0.19/0.51 % (3983)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (3983)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (3983)Termination reason: Unknown
% 0.19/0.51 % (3983)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (3983)Memory used [KB]: 895
% 0.19/0.51 % (3983)Time elapsed: 0.002 s
% 0.19/0.51 % (3983)Instructions burned: 2 (million)
% 0.19/0.51 % (3983)------------------------------
% 0.19/0.51 % (3983)------------------------------
% 1.24/0.52 % (3984)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)
% 1.24/0.52 % (3997)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)
% 1.24/0.52 % (3980)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)
% 1.24/0.52 % (3988)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.24/0.52 % (3989)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)
% 1.24/0.52 % (4004)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)
% 1.24/0.53 % (3981)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)
% 1.24/0.53 % (3976)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)
% 1.24/0.53 % (3978)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)
% 1.24/0.53 % (3982)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.24/0.53 % (3982)Instruction limit reached!
% 1.24/0.53 % (3982)------------------------------
% 1.24/0.53 % (3982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (3982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (3982)Termination reason: Unknown
% 1.24/0.53 % (3982)Termination phase: Saturation
% 1.24/0.53
% 1.24/0.53 % (3982)Memory used [KB]: 5628
% 1.24/0.53 % (3982)Time elapsed: 0.123 s
% 1.24/0.53 % (3982)Instructions burned: 8 (million)
% 1.24/0.53 % (3982)------------------------------
% 1.24/0.53 % (3982)------------------------------
% 1.24/0.53 % (3975)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)
% 1.41/0.53 % (3977)Instruction limit reached!
% 1.41/0.53 % (3977)------------------------------
% 1.41/0.53 % (3977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.53 % (3998)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)
% 1.41/0.54 % (3995)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)
% 1.41/0.54 % (3979)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54 % (3990)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)
% 1.41/0.54 % (4003)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.54 % (3997)First to succeed.
% 1.41/0.54 % (4001)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)
% 1.41/0.55 % (3997)Refutation found. Thanks to Tanya!
% 1.41/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.41/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.55 % (3997)------------------------------
% 1.41/0.55 % (3997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (3997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (3997)Termination reason: Refutation
% 1.41/0.55
% 1.41/0.55 % (3997)Memory used [KB]: 1279
% 1.41/0.55 % (3997)Time elapsed: 0.094 s
% 1.41/0.55 % (3997)Instructions burned: 15 (million)
% 1.41/0.55 % (3997)------------------------------
% 1.41/0.55 % (3997)------------------------------
% 1.41/0.55 % (3974)Success in time 0.193 s
%------------------------------------------------------------------------------