TSTP Solution File: SET002-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET002-6 : 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 : n018.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 18:23:00 EDT 2022
% Result : Unsatisfiable 1.29s 0.69s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 77 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 44 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(subsumption_resolution,[],[f305,f290]) ).
fof(f290,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x),
inference(subsumption_resolution,[],[f289,f239]) ).
fof(f239,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),universal_class)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(resolution,[],[f193,f228]) ).
fof(f228,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(intersection(complement(x),complement(x))))
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(resolution,[],[f224,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(f224,plain,
( ~ subclass(x,complement(intersection(complement(x),complement(x))))
| member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(intersection(complement(x),complement(x)))) ),
inference(resolution,[],[f207,f2]) ).
fof(f207,plain,
( ~ subclass(complement(intersection(complement(x),complement(x))),x)
| ~ subclass(x,complement(intersection(complement(x),complement(x)))) ),
inference(extensionality_resolution,[],[f7,f138]) ).
fof(f138,plain,
x != complement(intersection(complement(x),complement(x))),
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 != union(x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotency_of_union_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(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,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f289,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),universal_class)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(subsumption_resolution,[],[f288,f226]) ).
fof(f226,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),x)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(resolution,[],[f223,f2]) ).
fof(f223,plain,
( ~ subclass(x,complement(intersection(complement(x),complement(x))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),x) ),
inference(resolution,[],[f207,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(f288,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),x)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),universal_class) ),
inference(resolution,[],[f287,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(f287,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(x))
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(duplicate_literal_removal,[],[f283]) ).
fof(f283,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(x))
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(resolution,[],[f23,f229]) ).
fof(f229,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),intersection(complement(x),complement(x)))
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x) ),
inference(resolution,[],[f228,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
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) ).
fof(f305,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),x),
inference(resolution,[],[f302,f24]) ).
fof(f302,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(x)),
inference(resolution,[],[f301,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f301,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),intersection(complement(x),complement(x))),
inference(subsumption_resolution,[],[f300,f291]) ).
fof(f291,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),universal_class),
inference(resolution,[],[f290,f193]) ).
fof(f300,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),universal_class)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),intersection(complement(x),complement(x))) ),
inference(resolution,[],[f299,f25]) ).
fof(f299,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))),
inference(subsumption_resolution,[],[f298,f238]) ).
fof(f238,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),universal_class)
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(resolution,[],[f193,f227]) ).
fof(f227,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(intersection(complement(x),complement(x))))
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(resolution,[],[f224,f3]) ).
fof(f298,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),universal_class)
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(subsumption_resolution,[],[f297,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),x)
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(resolution,[],[f223,f3]) ).
fof(f297,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),x)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),universal_class)
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(resolution,[],[f286,f25]) ).
fof(f286,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(x))
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(x))
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x))))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),complement(x)) ),
inference(resolution,[],[f23,f230]) ).
fof(f230,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(x))),x),intersection(complement(x),complement(x)))
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(x)))),complement(intersection(complement(x),complement(x)))) ),
inference(resolution,[],[f227,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET002-6 : 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
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:54:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ipcrm: permission denied for id (574947331)
% 0.13/0.37 ipcrm: permission denied for id (574980122)
% 0.13/0.38 ipcrm: permission denied for id (575045663)
% 0.13/0.39 ipcrm: permission denied for id (575078438)
% 0.13/0.39 ipcrm: permission denied for id (575111211)
% 0.18/0.47 ipcrm: permission denied for id (575438957)
% 1.12/0.63 % (14591)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.12/0.64 % (14600)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.12/0.64 % (14594)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.29/0.65 % (14603)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 (2998ds/68Mi)
% 1.29/0.65 % (14593)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 (2998ds/48Mi)
% 1.29/0.65 % (14610)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.29/0.65 % (14592)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.29/0.66 % (14618)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 (2998ds/355Mi)
% 1.29/0.66 % (14589)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.29/0.67 % (14611)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 (2998ds/498Mi)
% 1.29/0.67 % (14607)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.29/0.67 % (14615)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 (2998ds/68Mi)
% 1.29/0.67 % (14616)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 (2998ds/177Mi)
% 1.29/0.68 % (14588)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 (2998ds/191324Mi)
% 1.29/0.68 % (14614)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.29/0.68 % (14590)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 (2998ds/37Mi)
% 1.29/0.68 % (14612)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 (2998ds/467Mi)
% 1.29/0.68 % (14602)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.29/0.68 % (14596)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.29/0.68 % (14604)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 (2998ds/75Mi)
% 1.29/0.68 % (14596)Instruction limit reached!
% 1.29/0.68 % (14596)------------------------------
% 1.29/0.68 % (14596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.68 % (14596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.68 % (14596)Termination reason: Unknown
% 1.29/0.68 % (14596)Termination phase: Function definition elimination
% 1.29/0.68
% 1.29/0.68 % (14596)Memory used [KB]: 1023
% 1.29/0.68 % (14596)Time elapsed: 0.002 s
% 1.29/0.68 % (14596)Instructions burned: 3 (million)
% 1.29/0.68 % (14596)------------------------------
% 1.29/0.68 % (14596)------------------------------
% 1.29/0.68 % (14594)Instruction limit reached!
% 1.29/0.68 % (14594)------------------------------
% 1.29/0.68 % (14594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.68 % (14617)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.29/0.69 % (14609)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 (2998ds/176Mi)
% 1.29/0.69 % (14608)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 (2998ds/100Mi)
% 1.29/0.69 % (14606)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.29/0.69 % (14597)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 (2998ds/51Mi)
% 1.29/0.69 % (14594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.69 % (14594)Termination reason: Unknown
% 1.29/0.69 % (14594)Termination phase: Finite model building preprocessing
% 1.29/0.69
% 1.29/0.69 % (14594)Memory used [KB]: 1663
% 1.29/0.69 % (14594)Time elapsed: 0.026 s
% 1.29/0.69 % (14594)Instructions burned: 53 (million)
% 1.29/0.69 % (14594)------------------------------
% 1.29/0.69 % (14594)------------------------------
% 1.29/0.69 % (14613)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.29/0.69 % (14611)First to succeed.
% 1.29/0.69 % (14611)Refutation found. Thanks to Tanya!
% 1.29/0.69 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.69 % (14611)------------------------------
% 1.29/0.69 % (14611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.69 % (14611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.69 % (14611)Termination reason: Refutation
% 1.29/0.69
% 1.29/0.69 % (14611)Memory used [KB]: 1151
% 1.29/0.69 % (14611)Time elapsed: 0.135 s
% 1.29/0.69 % (14611)Instructions burned: 13 (million)
% 1.29/0.69 % (14611)------------------------------
% 1.29/0.69 % (14611)------------------------------
% 1.29/0.69 % (14393)Success in time 0.357 s
%------------------------------------------------------------------------------