TSTP Solution File: HEN010-4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : n024.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 02:33:30 EDT 2024
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 31 unt; 0 def)
% Number of atoms : 48 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1056,plain,
$false,
inference(subsumption_resolution,[],[f1055,f102]) ).
fof(f102,plain,
~ less_equal(sF0,sF2),
inference(subsumption_resolution,[],[f101,f21]) ).
fof(f21,plain,
sF0 != sF2,
inference(definition_folding,[],[f17,f20,f19,f18,f18,f18]) ).
fof(f18,plain,
divide(identity,a) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f19,plain,
divide(identity,sF0) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f20,plain,
divide(sF0,sF1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f17,axiom,
divide(identity,a) != divide(divide(identity,a),divide(identity,divide(identity,a))),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',prove_property_of_inversion) ).
fof(f101,plain,
( sF0 = sF2
| ~ less_equal(sF0,sF2) ),
inference(resolution,[],[f6,f28]) ).
fof(f28,plain,
less_equal(sF2,sF0),
inference(superposition,[],[f3,f20]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',quotient_smaller_than_numerator) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',less_equal_and_equal) ).
fof(f1055,plain,
less_equal(sF0,sF2),
inference(forward_demodulation,[],[f1051,f787]) ).
fof(f787,plain,
! [X0] : divide(X0,zero) = X0,
inference(subsumption_resolution,[],[f771,f3]) ).
fof(f771,plain,
! [X0] :
( divide(X0,zero) = X0
| ~ less_equal(divide(X0,zero),X0) ),
inference(resolution,[],[f758,f6]) ).
fof(f758,plain,
! [X0] : less_equal(X0,divide(X0,zero)),
inference(trivial_inequality_removal,[],[f730]) ).
fof(f730,plain,
! [X0] :
( zero != zero
| less_equal(X0,divide(X0,zero)) ),
inference(superposition,[],[f2,f355]) ).
fof(f355,plain,
! [X0] : zero = divide(X0,divide(X0,zero)),
inference(resolution,[],[f137,f99]) ).
fof(f99,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f22]) ).
fof(f22,plain,
! [X0] : less_equal(zero,X0),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
! [X0] : zero = divide(X0,identity),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',everything_divide_id_is_zero) ).
fof(f137,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[],[f87,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',property_of_divide1) ).
fof(f87,plain,
! [X0] : less_equal(X0,X0),
inference(trivial_inequality_removal,[],[f79]) ).
fof(f79,plain,
! [X0] :
( zero != zero
| less_equal(X0,X0) ),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',quotient_less_equal2) ).
fof(f1051,plain,
less_equal(divide(sF0,zero),sF2),
inference(resolution,[],[f995,f13]) ).
fof(f995,plain,
less_equal(divide(sF0,sF2),zero),
inference(superposition,[],[f708,f187]) ).
fof(f187,plain,
sF0 = divide(identity,sF1),
inference(forward_demodulation,[],[f171,f19]) ).
fof(f171,plain,
sF0 = divide(identity,divide(identity,sF0)),
inference(superposition,[],[f16,f18]) ).
fof(f16,axiom,
! [X0] : divide(identity,X0) = divide(identity,divide(identity,divide(identity,X0))),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',one_inversion_equals_three) ).
fof(f708,plain,
! [X0] : less_equal(divide(divide(X0,sF1),sF2),zero),
inference(forward_demodulation,[],[f690,f20]) ).
fof(f690,plain,
! [X0] : less_equal(divide(divide(X0,sF1),divide(sF0,sF1)),zero),
inference(superposition,[],[f4,f345]) ).
fof(f345,plain,
! [X0] : zero = divide(divide(X0,sF0),sF1),
inference(resolution,[],[f250,f99]) ).
fof(f250,plain,
! [X0] : less_equal(divide(divide(X0,sF0),sF1),zero),
inference(forward_demodulation,[],[f249,f9]) ).
fof(f9,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',zero_divide_anything_is_zero) ).
fof(f249,plain,
! [X0] : less_equal(divide(divide(X0,sF0),sF1),divide(zero,sF0)),
inference(forward_demodulation,[],[f219,f8]) ).
fof(f219,plain,
! [X0] : less_equal(divide(divide(X0,sF0),sF1),divide(divide(X0,identity),sF0)),
inference(superposition,[],[f4,f19]) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox/tmp/tmp.rwjcdmCaCc/Vampire---4.8_20167',quotient_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.15 % 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 : n024.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 16:29:36 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_HRN 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.rwjcdmCaCc/Vampire---4.8_20167
% 0.58/0.75 % (20432)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)
% 0.58/0.75 % (20426)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)
% 0.58/0.75 % (20428)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (20427)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)
% 0.58/0.75 % (20429)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)
% 0.58/0.75 % (20431)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)
% 0.58/0.75 % (20430)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)
% 0.58/0.75 % (20429)Refutation not found, incomplete strategy% (20429)------------------------------
% 0.58/0.75 % (20429)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (20429)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (20429)Memory used [KB]: 962
% 0.58/0.75 % (20429)Time elapsed: 0.003 s
% 0.58/0.75 % (20429)Instructions burned: 2 (million)
% 0.58/0.75 % (20429)------------------------------
% 0.58/0.75 % (20429)------------------------------
% 0.60/0.76 % (20433)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 % (20426)Instruction limit reached!
% 0.60/0.77 % (20426)------------------------------
% 0.60/0.77 % (20426)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (20426)Termination reason: Unknown
% 0.60/0.77 % (20426)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (20426)Memory used [KB]: 1139
% 0.60/0.77 % (20426)Time elapsed: 0.018 s
% 0.60/0.77 % (20426)Instructions burned: 35 (million)
% 0.60/0.77 % (20426)------------------------------
% 0.60/0.77 % (20426)------------------------------
% 0.60/0.77 % (20434)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 % (20430)Instruction limit reached!
% 0.60/0.77 % (20430)------------------------------
% 0.60/0.77 % (20430)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (20430)Termination reason: Unknown
% 0.60/0.77 % (20430)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (20430)Memory used [KB]: 1160
% 0.60/0.77 % (20430)Time elapsed: 0.021 s
% 0.60/0.77 % (20430)Instructions burned: 34 (million)
% 0.60/0.77 % (20430)------------------------------
% 0.60/0.77 % (20430)------------------------------
% 0.60/0.77 % (20435)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 (2995ds/50Mi)
% 0.60/0.77 % (20436)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 (2995ds/208Mi)
% 0.60/0.77 % (20435)Refutation not found, incomplete strategy% (20435)------------------------------
% 0.60/0.77 % (20435)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (20435)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (20435)Memory used [KB]: 962
% 0.60/0.77 % (20435)Time elapsed: 0.002 s
% 0.60/0.77 % (20435)Instructions burned: 2 (million)
% 0.60/0.77 % (20435)------------------------------
% 0.60/0.77 % (20435)------------------------------
% 0.60/0.78 % (20432)Instruction limit reached!
% 0.60/0.78 % (20432)------------------------------
% 0.60/0.78 % (20432)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (20432)Termination reason: Unknown
% 0.60/0.78 % (20432)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (20432)Memory used [KB]: 1596
% 0.60/0.78 % (20432)Time elapsed: 0.028 s
% 0.60/0.78 % (20432)Instructions burned: 83 (million)
% 0.60/0.78 % (20432)------------------------------
% 0.60/0.78 % (20432)------------------------------
% 0.60/0.78 % (20431)Instruction limit reached!
% 0.60/0.78 % (20431)------------------------------
% 0.60/0.78 % (20431)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (20431)Termination reason: Unknown
% 0.60/0.78 % (20431)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (20431)Memory used [KB]: 1313
% 0.60/0.78 % (20431)Time elapsed: 0.028 s
% 0.60/0.78 % (20431)Instructions burned: 46 (million)
% 0.60/0.78 % (20431)------------------------------
% 0.60/0.78 % (20431)------------------------------
% 0.60/0.78 % (20437)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 (2995ds/52Mi)
% 0.60/0.78 % (20438)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 (2995ds/518Mi)
% 0.60/0.78 % (20439)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 (2995ds/42Mi)
% 0.60/0.78 % (20427)Instruction limit reached!
% 0.60/0.78 % (20427)------------------------------
% 0.60/0.78 % (20427)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (20427)Termination reason: Unknown
% 0.60/0.78 % (20427)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (20427)Memory used [KB]: 1306
% 0.60/0.78 % (20427)Time elapsed: 0.033 s
% 0.60/0.78 % (20427)Instructions burned: 51 (million)
% 0.60/0.78 % (20427)------------------------------
% 0.60/0.78 % (20427)------------------------------
% 0.60/0.78 % (20439)Refutation not found, incomplete strategy% (20439)------------------------------
% 0.60/0.78 % (20439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (20439)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (20439)Memory used [KB]: 961
% 0.60/0.78 % (20439)Time elapsed: 0.003 s
% 0.60/0.78 % (20439)Instructions burned: 2 (million)
% 0.60/0.78 % (20439)------------------------------
% 0.60/0.78 % (20439)------------------------------
% 0.60/0.79 % (20440)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 (2995ds/243Mi)
% 0.60/0.79 % (20441)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 (2995ds/117Mi)
% 0.60/0.79 % (20433)Instruction limit reached!
% 0.60/0.79 % (20433)------------------------------
% 0.60/0.79 % (20433)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (20433)Termination reason: Unknown
% 0.60/0.79 % (20433)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (20433)Memory used [KB]: 1278
% 0.60/0.79 % (20433)Time elapsed: 0.034 s
% 0.60/0.79 % (20433)Instructions burned: 57 (million)
% 0.60/0.79 % (20433)------------------------------
% 0.60/0.79 % (20433)------------------------------
% 0.60/0.79 % (20442)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 (2995ds/143Mi)
% 0.60/0.79 % (20436)First to succeed.
% 0.60/0.79 % (20436)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 % (20436)------------------------------
% 0.60/0.79 % (20436)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (20436)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (20436)Memory used [KB]: 1207
% 0.60/0.79 % (20436)Time elapsed: 0.020 s
% 0.60/0.79 % (20436)Instructions burned: 31 (million)
% 0.60/0.79 % (20436)------------------------------
% 0.60/0.79 % (20436)------------------------------
% 0.60/0.79 % (20421)Success in time 0.431 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------