TSTP Solution File: HEN010-4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : HEN010-4 : TPTP v8.2.0. 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 : Mon May 20 21:34:36 EDT 2024
% Result : Unsatisfiable 0.64s 0.78s
% Output : Refutation 0.64s
% 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',quotient_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN010-4 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.14 % 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
% 0.14/0.35 % Computer : n024.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 : Sun May 19 22:55:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.22/0.36 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/benchmark/theBenchmark.p
% 0.58/0.74 % (30497)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.74 % (30489)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.74 % (30493)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.74 % (30490)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 theBenchmark for (2996ds/51Mi)
% 0.58/0.74 % (30492)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.74 % (30494)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.74 % (30495)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.74 % (30496)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 theBenchmark for (2996ds/83Mi)
% 0.58/0.75 % (30493)Refutation not found, incomplete strategy% (30493)------------------------------
% 0.58/0.75 % (30493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (30493)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (30493)Memory used [KB]: 971
% 0.58/0.75 % (30493)Time elapsed: 0.003 s
% 0.58/0.75 % (30493)Instructions burned: 2 (million)
% 0.58/0.75 % (30493)------------------------------
% 0.58/0.75 % (30493)------------------------------
% 0.58/0.75 % (30498)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 theBenchmark for (2996ds/55Mi)
% 0.58/0.76 % (30489)Instruction limit reached!
% 0.58/0.76 % (30489)------------------------------
% 0.58/0.76 % (30489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (30489)Termination reason: Unknown
% 0.58/0.76 % (30489)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (30489)Memory used [KB]: 1148
% 0.58/0.76 % (30489)Time elapsed: 0.018 s
% 0.58/0.76 % (30489)Instructions burned: 35 (million)
% 0.58/0.76 % (30489)------------------------------
% 0.58/0.76 % (30489)------------------------------
% 0.58/0.76 % (30497)Instruction limit reached!
% 0.58/0.76 % (30497)------------------------------
% 0.58/0.76 % (30497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (30497)Termination reason: Unknown
% 0.58/0.76 % (30497)Termination phase: Saturation
% 0.58/0.76
% 0.58/0.76 % (30497)Memory used [KB]: 1305
% 0.58/0.76 % (30497)Time elapsed: 0.020 s
% 0.58/0.76 % (30497)Instructions burned: 58 (million)
% 0.58/0.76 % (30497)------------------------------
% 0.58/0.76 % (30497)------------------------------
% 0.64/0.76 % (30494)Instruction limit reached!
% 0.64/0.76 % (30494)------------------------------
% 0.64/0.76 % (30494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76 % (30494)Termination reason: Unknown
% 0.64/0.76 % (30494)Termination phase: Saturation
% 0.64/0.76
% 0.64/0.76 % (30494)Memory used [KB]: 1168
% 0.64/0.76 % (30494)Time elapsed: 0.021 s
% 0.64/0.76 % (30494)Instructions burned: 34 (million)
% 0.64/0.76 % (30494)------------------------------
% 0.64/0.76 % (30494)------------------------------
% 0.64/0.76 % (30500)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.64/0.76 % (30499)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 theBenchmark for (2996ds/50Mi)
% 0.64/0.77 % (30499)Refutation not found, incomplete strategy% (30499)------------------------------
% 0.64/0.77 % (30499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (30499)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (30499)Memory used [KB]: 970
% 0.64/0.77 % (30499)Time elapsed: 0.002 s
% 0.64/0.77 % (30499)Instructions burned: 2 (million)
% 0.64/0.77 % (30499)------------------------------
% 0.64/0.77 % (30499)------------------------------
% 0.64/0.77 % (30501)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 theBenchmark for (2995ds/52Mi)
% 0.64/0.77 % (30503)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 theBenchmark for (2995ds/518Mi)
% 0.64/0.77 % (30495)Instruction limit reached!
% 0.64/0.77 % (30495)------------------------------
% 0.64/0.77 % (30495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (30495)Termination reason: Unknown
% 0.64/0.77 % (30495)Termination phase: Saturation
% 0.64/0.77
% 0.64/0.77 % (30495)Memory used [KB]: 1322
% 0.64/0.77 % (30495)Time elapsed: 0.028 s
% 0.64/0.77 % (30495)Instructions burned: 46 (million)
% 0.64/0.77 % (30495)------------------------------
% 0.64/0.77 % (30495)------------------------------
% 0.64/0.77 % (30490)Instruction limit reached!
% 0.64/0.77 % (30490)------------------------------
% 0.64/0.77 % (30490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (30490)Termination reason: Unknown
% 0.64/0.77 % (30490)Termination phase: Saturation
% 0.64/0.77
% 0.64/0.77 % (30490)Memory used [KB]: 1287
% 0.64/0.77 % (30490)Time elapsed: 0.032 s
% 0.64/0.77 % (30490)Instructions burned: 51 (million)
% 0.64/0.77 % (30490)------------------------------
% 0.64/0.77 % (30490)------------------------------
% 0.64/0.77 % (30500)First to succeed.
% 0.64/0.77 % (30504)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 theBenchmark for (2995ds/42Mi)
% 0.64/0.78 % (30500)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30446"
% 0.64/0.78 % (30500)Refutation found. Thanks to Tanya!
% 0.64/0.78 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.78 % (30500)------------------------------
% 0.64/0.78 % (30500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (30500)Termination reason: Refutation
% 0.64/0.78
% 0.64/0.78 % (30500)Memory used [KB]: 1215
% 0.64/0.78 % (30500)Time elapsed: 0.012 s
% 0.64/0.78 % (30500)Instructions burned: 31 (million)
% 0.64/0.78 % (30446)Success in time 0.413 s
% 0.64/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------