TSTP Solution File: SET120-7 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 May 1 03:45:15 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 18 unt; 0 def)
% Number of atoms : 36 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f564,plain,
$false,
inference(subsumption_resolution,[],[f563,f267]) ).
fof(f267,plain,
! [X0,X1] : ~ member(sF3,cross_product(X0,X1)),
inference(forward_demodulation,[],[f266,f202]) ).
fof(f202,plain,
unordered_pair(sF0,sF2) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f266,plain,
! [X0,X1] : ~ member(unordered_pair(sF0,sF2),cross_product(X0,X1)),
inference(forward_demodulation,[],[f265,f201]) ).
fof(f201,plain,
unordered_pair(x,sF1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f265,plain,
! [X0,X1] : ~ member(unordered_pair(sF0,unordered_pair(x,sF1)),cross_product(X0,X1)),
inference(superposition,[],[f262,f200]) ).
fof(f200,plain,
singleton(y) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f262,plain,
! [X2,X0,X1] : ~ member(unordered_pair(sF0,unordered_pair(x,singleton(X0))),cross_product(X1,X2)),
inference(subsumption_resolution,[],[f258,f166]) ).
fof(f166,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103',prove_corollary_2_to_OP_determines_components1_1) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(sF0,unordered_pair(x,singleton(X0))),cross_product(X1,X2))
| member(x,universal_class) ),
inference(superposition,[],[f173,f199]) ).
fof(f199,plain,
singleton(x) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(singleton(X2),unordered_pair(X2,singleton(X3))),cross_product(X0,X1))
| member(X2,universal_class) ),
inference(definition_unfolding,[],[f94,f13]) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103',ordered_pair) ).
fof(f94,axiom,
! [X2,X3,X0,X1] :
( member(X2,universal_class)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103',corollary_1_to_cartesian_product) ).
fof(f563,plain,
member(sF3,cross_product(universal_class,universal_class)),
inference(forward_demodulation,[],[f562,f328]) ).
fof(f328,plain,
sF3 = unordered_pair(singleton(first(sF3)),unordered_pair(first(sF3),singleton(sF4))),
inference(subsumption_resolution,[],[f315,f204]) ).
fof(f204,plain,
sF3 != sF4,
inference(definition_folding,[],[f168,f203,f202,f201,f200,f199,f202,f201,f200,f199]) ).
fof(f203,plain,
second(sF3) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f168,plain,
unordered_pair(singleton(x),unordered_pair(x,singleton(y))) != second(unordered_pair(singleton(x),unordered_pair(x,singleton(y)))),
inference(definition_unfolding,[],[f167,f13,f13]) ).
fof(f167,axiom,
ordered_pair(x,y) != second(ordered_pair(x,y)),
file('/export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103',prove_corollary_2_to_OP_determines_components1_2) ).
fof(f315,plain,
( sF3 = unordered_pair(singleton(first(sF3)),unordered_pair(first(sF3),singleton(sF4)))
| sF3 = sF4 ),
inference(superposition,[],[f188,f203]) ).
fof(f188,plain,
! [X0] :
( unordered_pair(singleton(first(X0)),unordered_pair(first(X0),singleton(second(X0)))) = X0
| second(X0) = X0 ),
inference(definition_unfolding,[],[f163,f13]) ).
fof(f163,axiom,
! [X0] :
( second(X0) = X0
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103',unique_1st_and_2nd_in_pair_of_non_sets4) ).
fof(f562,plain,
member(unordered_pair(singleton(first(sF3)),unordered_pair(first(sF3),singleton(sF4))),cross_product(universal_class,universal_class)),
inference(subsumption_resolution,[],[f554,f204]) ).
fof(f554,plain,
( member(unordered_pair(singleton(first(sF3)),unordered_pair(first(sF3),singleton(sF4))),cross_product(universal_class,universal_class))
| sF3 = sF4 ),
inference(superposition,[],[f190,f203]) ).
fof(f190,plain,
! [X0] :
( member(unordered_pair(singleton(first(X0)),unordered_pair(first(X0),singleton(second(X0)))),cross_product(universal_class,universal_class))
| second(X0) = X0 ),
inference(definition_unfolding,[],[f161,f13]) ).
fof(f161,axiom,
! [X0] :
( second(X0) = X0
| member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103',unique_1st_and_2nd_in_pair_of_non_sets2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET120-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 17:56:11 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.0j0KoR9l94/Vampire---4.8_22103
% 0.55/0.75 % (22366)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)
% 0.55/0.75 % (22360)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)
% 0.55/0.75 % (22361)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)
% 0.55/0.75 % (22363)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)
% 0.55/0.75 % (22362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (22364)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)
% 0.55/0.75 % (22365)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)
% 0.55/0.75 % (22365)Refutation not found, incomplete strategy% (22365)------------------------------
% 0.55/0.75 % (22365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (22365)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (22365)Memory used [KB]: 1115
% 0.55/0.75 % (22365)Time elapsed: 0.003 s
% 0.55/0.75 % (22365)Instructions burned: 2 (million)
% 0.55/0.75 % (22365)------------------------------
% 0.55/0.75 % (22365)------------------------------
% 0.60/0.76 % (22367)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)
% 0.60/0.77 % (22363)Instruction limit reached!
% 0.60/0.77 % (22363)------------------------------
% 0.60/0.77 % (22363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (22363)Termination reason: Unknown
% 0.60/0.77 % (22363)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (22363)Memory used [KB]: 1667
% 0.60/0.77 % (22363)Time elapsed: 0.019 s
% 0.60/0.77 % (22363)Instructions burned: 34 (million)
% 0.60/0.77 % (22363)------------------------------
% 0.60/0.77 % (22363)------------------------------
% 0.60/0.77 % (22364)Instruction limit reached!
% 0.60/0.77 % (22364)------------------------------
% 0.60/0.77 % (22364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (22364)Termination reason: Unknown
% 0.60/0.77 % (22364)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (22364)Memory used [KB]: 1527
% 0.60/0.77 % (22364)Time elapsed: 0.022 s
% 0.60/0.77 % (22364)Instructions burned: 35 (million)
% 0.60/0.77 % (22364)------------------------------
% 0.60/0.77 % (22364)------------------------------
% 0.60/0.77 % (22360)Instruction limit reached!
% 0.60/0.77 % (22360)------------------------------
% 0.60/0.77 % (22360)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (22360)Termination reason: Unknown
% 0.60/0.77 % (22360)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (22360)Memory used [KB]: 1349
% 0.60/0.77 % (22360)Time elapsed: 0.023 s
% 0.60/0.77 % (22360)Instructions burned: 34 (million)
% 0.60/0.77 % (22360)------------------------------
% 0.60/0.77 % (22360)------------------------------
% 0.60/0.77 % (22369)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)
% 0.60/0.77 % (22366)Instruction limit reached!
% 0.60/0.77 % (22366)------------------------------
% 0.60/0.77 % (22366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (22366)Termination reason: Unknown
% 0.60/0.77 % (22366)Termination phase: Saturation
% 0.60/0.77 % (22368)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)
% 0.60/0.77
% 0.60/0.77 % (22366)Memory used [KB]: 1493
% 0.60/0.77 % (22366)Time elapsed: 0.025 s
% 0.60/0.77 % (22366)Instructions burned: 85 (million)
% 0.60/0.77 % (22366)------------------------------
% 0.60/0.77 % (22366)------------------------------
% 0.60/0.77 % (22370)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)
% 0.60/0.77 % (22372)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)
% 0.60/0.78 % (22371)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)
% 0.60/0.78 % (22372)Refutation not found, incomplete strategy% (22372)------------------------------
% 0.60/0.78 % (22372)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (22372)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (22372)Memory used [KB]: 1139
% 0.60/0.78 % (22372)Time elapsed: 0.002 s
% 0.60/0.78 % (22372)Instructions burned: 5 (million)
% 0.60/0.78 % (22372)------------------------------
% 0.60/0.78 % (22372)------------------------------
% 0.60/0.78 % (22361)Instruction limit reached!
% 0.60/0.78 % (22361)------------------------------
% 0.60/0.78 % (22361)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (22361)Termination reason: Unknown
% 0.60/0.78 % (22361)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (22361)Memory used [KB]: 1391
% 0.60/0.78 % (22361)Time elapsed: 0.024 s
% 0.60/0.78 % (22361)Instructions burned: 52 (million)
% 0.60/0.78 % (22361)------------------------------
% 0.60/0.78 % (22361)------------------------------
% 0.60/0.78 % (22367)Instruction limit reached!
% 0.60/0.78 % (22367)------------------------------
% 0.60/0.78 % (22367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (22367)Termination reason: Unknown
% 0.60/0.78 % (22367)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (22367)Memory used [KB]: 2210
% 0.60/0.78 % (22367)Time elapsed: 0.027 s
% 0.60/0.78 % (22367)Instructions burned: 56 (million)
% 0.60/0.78 % (22367)------------------------------
% 0.60/0.78 % (22367)------------------------------
% 0.60/0.78 % (22373)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)
% 0.60/0.78 % (22374)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)
% 0.60/0.78 % (22375)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)
% 0.60/0.79 % (22370)First to succeed.
% 0.60/0.79 % (22370)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (22370)------------------------------
% 0.60/0.79 % (22370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (22370)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (22370)Memory used [KB]: 1227
% 0.60/0.79 % (22370)Time elapsed: 0.014 s
% 0.60/0.79 % (22370)Instructions burned: 19 (million)
% 0.60/0.79 % (22370)------------------------------
% 0.60/0.79 % (22370)------------------------------
% 0.60/0.79 % (22356)Success in time 0.403 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------