TSTP Solution File: SET166-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET166-6 : 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 : n028.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 18:24:01 EDT 2022
% Result : Unsatisfiable 1.85s 0.63s
% Output : Refutation 1.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 49 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f339,plain,
$false,
inference(resolution,[],[f335,f218]) ).
fof(f218,plain,
~ member(x,complement(intersection(complement(y),complement(z)))),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f176,plain,
member(x,complement(intersection(complement(y),complement(z)))),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f113,axiom,
member(x,union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union1_1) ).
fof(f335,plain,
! [X0] : member(x,X0),
inference(subsumption_resolution,[],[f334,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f334,plain,
! [X0] :
( member(x,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f333,f201]) ).
fof(f201,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,X0)
| ~ subclass(X0,X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f333,plain,
member(x,universal_class),
inference(subsumption_resolution,[],[f332,f198]) ).
fof(f198,plain,
member(x,y),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f114,axiom,
~ member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union1_2) ).
fof(f332,plain,
( ~ member(x,y)
| member(x,universal_class) ),
inference(duplicate_literal_removal,[],[f330]) ).
fof(f330,plain,
( ~ member(x,y)
| member(x,universal_class)
| member(x,universal_class) ),
inference(resolution,[],[f321,f186]) ).
fof(f186,plain,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0)
| member(X4,universal_class) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,X0)
| member(X4,complement(X0))
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f321,plain,
( member(x,complement(y))
| member(x,universal_class) ),
inference(subsumption_resolution,[],[f319,f249]) ).
fof(f249,plain,
member(x,z),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f115,axiom,
~ member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union1_3) ).
fof(f319,plain,
( member(x,complement(y))
| member(x,universal_class)
| ~ member(x,z) ),
inference(resolution,[],[f310,f186]) ).
fof(f310,plain,
( member(x,complement(z))
| member(x,complement(y)) ),
inference(resolution,[],[f183,f278]) ).
fof(f278,plain,
member(x,intersection(complement(y),complement(z))),
inference(resolution,[],[f206,f218]) ).
fof(f206,plain,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f183,plain,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0)
| member(X4,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET166-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % 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 : n028.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:33:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.54 % (29685)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)
% 0.19/0.55 % (29677)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)
% 0.19/0.56 % (29684)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57 % (29680)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)
% 0.19/0.57 % (29676)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)
% 1.66/0.58 % (29682)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.66/0.58 % (29682)Instruction limit reached!
% 1.66/0.58 % (29682)------------------------------
% 1.66/0.58 % (29682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58 % (29682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58 % (29682)Termination reason: Unknown
% 1.66/0.58 % (29682)Termination phase: Function definition elimination
% 1.66/0.58
% 1.66/0.58 % (29682)Memory used [KB]: 895
% 1.66/0.58 % (29682)Time elapsed: 0.002 s
% 1.66/0.58 % (29682)Instructions burned: 2 (million)
% 1.66/0.58 % (29682)------------------------------
% 1.66/0.58 % (29682)------------------------------
% 1.66/0.59 % (29679)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)
% 1.66/0.59 % (29683)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)
% 1.66/0.59 % (29692)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.66/0.59 % (29693)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)
% 1.66/0.59 % (29674)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)
% 1.85/0.60 % (29697)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)
% 1.85/0.60 % (29678)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.60 % (29675)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)
% 1.85/0.60 % (29689)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)
% 1.85/0.61 % (29693)First to succeed.
% 1.85/0.61 % (29696)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)
% 1.85/0.61 % (29695)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.85/0.61 % (29698)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.85/0.61 % (29688)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)
% 1.85/0.61 % (29702)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.85/0.62 % (29687)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.85/0.62 % (29694)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)
% 1.85/0.62 % (29699)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.85/0.62 % (29700)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)
% 1.85/0.63 % (29676)Also succeeded, but the first one will report.
% 1.85/0.63 % (29681)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.85/0.63 % (29693)Refutation found. Thanks to Tanya!
% 1.85/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.85/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.63 % (29693)------------------------------
% 1.85/0.63 % (29693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.63 % (29693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.63 % (29693)Termination reason: Refutation
% 1.85/0.63
% 1.85/0.63 % (29693)Memory used [KB]: 1279
% 1.85/0.63 % (29693)Time elapsed: 0.181 s
% 1.85/0.63 % (29693)Instructions burned: 16 (million)
% 1.85/0.63 % (29693)------------------------------
% 1.85/0.63 % (29693)------------------------------
% 1.85/0.63 % (29673)Success in time 0.271 s
%------------------------------------------------------------------------------