TSTP Solution File: NUM042-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 : Sun May 5 08:07:24 EDT 2024
% Result : Unsatisfiable 0.65s 0.77s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 26 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f536,plain,
$false,
inference(unit_resulting_resolution,[],[f316,f306,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',intersection1) ).
fof(f306,plain,
member(not_subclass_element(intersection(x,cross_product(domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))),domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))),complement(identity_relation)),intersection(x,cross_product(domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))),domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))))),
inference(unit_resulting_resolution,[],[f300,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',not_subclass_members1) ).
fof(f300,plain,
~ subclass(intersection(x,cross_product(domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))),domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))),complement(identity_relation)),
inference(unit_resulting_resolution,[],[f251,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ subclass(intersection(X0,cross_product(X1,X1)),complement(identity_relation))
| irreflexive(X0,X1) ),
inference(definition_unfolding,[],[f115,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',restriction1) ).
fof(f115,axiom,
! [X0,X1] :
( irreflexive(X0,X1)
| ~ subclass(restrict(X0,X1,X1),complement(identity_relation)) ),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',irreflexive2) ).
fof(f251,plain,
~ irreflexive(x,domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class)))))))),
inference(definition_unfolding,[],[f160,f174]) ).
fof(f174,plain,
! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(domain_of(flip(cross_product(X0,universal_class)))))),
inference(definition_unfolding,[],[f113,f26,f38]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',inverse) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',union) ).
fof(f113,axiom,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',symmetrization) ).
fof(f160,axiom,
~ irreflexive(x,domain_of(symmetrization_of(x))),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',prove_irreflexive_class_property4_2) ).
fof(f316,plain,
~ member(not_subclass_element(intersection(x,cross_product(domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))),domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))),complement(identity_relation)),x),
inference(unit_resulting_resolution,[],[f159,f305,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',subclass_members) ).
fof(f305,plain,
~ member(not_subclass_element(intersection(x,cross_product(domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))),domain_of(complement(intersection(complement(x),complement(domain_of(flip(cross_product(x,universal_class))))))))),complement(identity_relation)),complement(identity_relation)),
inference(unit_resulting_resolution,[],[f300,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',not_subclass_members2) ).
fof(f159,axiom,
subclass(x,complement(identity_relation)),
file('/export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216',prove_irreflexive_class_property4_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM042-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:41:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.HyY29qu4Jy/Vampire---4.8_9216
% 0.56/0.74 % (9332)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (9325)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (9328)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (9329)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (9330)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (9326)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (9331)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (9332)Refutation not found, incomplete strategy% (9332)------------------------------
% 0.56/0.74 % (9332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9332)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9332)Memory used [KB]: 1166
% 0.56/0.74 % (9332)Time elapsed: 0.003 s
% 0.56/0.74 % (9332)Instructions burned: 6 (million)
% 0.56/0.74 % (9332)------------------------------
% 0.56/0.74 % (9332)------------------------------
% 0.56/0.74 % (9329)Refutation not found, incomplete strategy% (9329)------------------------------
% 0.56/0.74 % (9329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9329)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9329)Memory used [KB]: 1145
% 0.56/0.74 % (9329)Time elapsed: 0.003 s
% 0.56/0.74 % (9329)Instructions burned: 3 (million)
% 0.56/0.74 % (9331)Refutation not found, incomplete strategy% (9331)------------------------------
% 0.56/0.74 % (9331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9331)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9331)Memory used [KB]: 1160
% 0.56/0.74 % (9331)Time elapsed: 0.004 s
% 0.56/0.74 % (9329)------------------------------
% 0.56/0.74 % (9329)------------------------------
% 0.56/0.74 % (9331)Instructions burned: 3 (million)
% 0.56/0.74 % (9331)------------------------------
% 0.56/0.74 % (9331)------------------------------
% 0.56/0.74 % (9325)Refutation not found, incomplete strategy% (9325)------------------------------
% 0.56/0.74 % (9325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (9325)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (9325)Memory used [KB]: 1199
% 0.56/0.74 % (9325)Time elapsed: 0.005 s
% 0.56/0.74 % (9325)Instructions burned: 6 (million)
% 0.56/0.75 % (9325)------------------------------
% 0.56/0.75 % (9325)------------------------------
% 0.56/0.75 % (9333)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75 % (9330)Refutation not found, incomplete strategy% (9330)------------------------------
% 0.56/0.75 % (9330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9330)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9330)Memory used [KB]: 1161
% 0.56/0.75 % (9330)Time elapsed: 0.005 s
% 0.56/0.75 % (9330)Instructions burned: 8 (million)
% 0.56/0.75 % (9330)------------------------------
% 0.56/0.75 % (9330)------------------------------
% 0.56/0.75 % (9333)Refutation not found, incomplete strategy% (9333)------------------------------
% 0.56/0.75 % (9333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9333)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9333)Memory used [KB]: 1144
% 0.56/0.75 % (9333)Time elapsed: 0.002 s
% 0.56/0.75 % (9333)Instructions burned: 3 (million)
% 0.56/0.75 % (9333)------------------------------
% 0.56/0.75 % (9333)------------------------------
% 0.56/0.75 % (9335)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.75 % (9336)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.75 % (9337)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.75 % (9339)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.75 % (9334)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.75 % (9334)Refutation not found, incomplete strategy% (9334)------------------------------
% 0.56/0.75 % (9334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9334)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9334)Memory used [KB]: 1159
% 0.56/0.75 % (9334)Time elapsed: 0.004 s
% 0.56/0.75 % (9334)Instructions burned: 3 (million)
% 0.56/0.75 % (9334)------------------------------
% 0.56/0.75 % (9334)------------------------------
% 0.56/0.75 % (9338)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.75 % (9336)Refutation not found, incomplete strategy% (9336)------------------------------
% 0.56/0.75 % (9336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9336)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9336)Memory used [KB]: 1198
% 0.56/0.75 % (9336)Time elapsed: 0.007 s
% 0.56/0.75 % (9336)Instructions burned: 8 (million)
% 0.56/0.75 % (9336)------------------------------
% 0.56/0.75 % (9336)------------------------------
% 0.56/0.76 % (9338)Refutation not found, incomplete strategy% (9338)------------------------------
% 0.56/0.76 % (9338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9338)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76 % (9340)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.76
% 0.56/0.76 % (9338)Memory used [KB]: 1180
% 0.56/0.76 % (9338)Time elapsed: 0.005 s
% 0.56/0.76 % (9338)Instructions burned: 6 (million)
% 0.56/0.76 % (9338)------------------------------
% 0.56/0.76 % (9338)------------------------------
% 0.56/0.76 % (9341)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.65/0.76 % (9342)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.65/0.76 % (9341)Refutation not found, incomplete strategy% (9341)------------------------------
% 0.65/0.76 % (9341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (9341)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.76
% 0.65/0.76 % (9341)Memory used [KB]: 1165
% 0.65/0.76 % (9341)Time elapsed: 0.004 s
% 0.65/0.76 % (9341)Instructions burned: 4 (million)
% 0.65/0.76 % (9341)------------------------------
% 0.65/0.76 % (9341)------------------------------
% 0.65/0.76 % (9339)Instruction limit reached!
% 0.65/0.76 % (9339)------------------------------
% 0.65/0.76 % (9339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76 % (9339)Termination reason: Unknown
% 0.65/0.76 % (9339)Termination phase: Saturation
% 0.65/0.76
% 0.65/0.76 % (9339)Memory used [KB]: 1845
% 0.65/0.76 % (9339)Time elapsed: 0.016 s
% 0.65/0.76 % (9339)Instructions burned: 43 (million)
% 0.65/0.76 % (9339)------------------------------
% 0.65/0.76 % (9339)------------------------------
% 0.65/0.76 % (9343)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.65/0.77 % (9344)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.65/0.77 % (9337)Instruction limit reached!
% 0.65/0.77 % (9337)------------------------------
% 0.65/0.77 % (9337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (9337)Termination reason: Unknown
% 0.65/0.77 % (9337)Termination phase: Saturation
% 0.65/0.77
% 0.65/0.77 % (9337)Memory used [KB]: 1736
% 0.65/0.77 % (9337)Time elapsed: 0.025 s
% 0.65/0.77 % (9337)Instructions burned: 53 (million)
% 0.65/0.77 % (9337)------------------------------
% 0.65/0.77 % (9337)------------------------------
% 0.65/0.77 % (9344)First to succeed.
% 0.65/0.77 % (9344)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9324"
% 0.65/0.77 % (9344)Refutation found. Thanks to Tanya!
% 0.65/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.65/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.77 % (9344)------------------------------
% 0.65/0.77 % (9344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77 % (9344)Termination reason: Refutation
% 0.65/0.77
% 0.65/0.77 % (9344)Memory used [KB]: 1336
% 0.65/0.77 % (9344)Time elapsed: 0.007 s
% 0.65/0.77 % (9344)Instructions burned: 19 (million)
% 0.65/0.77 % (9324)Success in time 0.404 s
% 0.65/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------