TSTP Solution File: KLE150+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE150+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n031.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 03:03:30 EDT 2024
% Result : Theorem 0.56s 0.71s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 24 unt; 0 def)
% Number of atoms : 70 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 17 |; 4 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f329,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f324,f327]) ).
fof(f327,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f325,f97]) ).
fof(f97,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f89]) ).
fof(f89,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f37,f33]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',idempotence) ).
fof(f37,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',order) ).
fof(f325,plain,
( ~ leq(sF2,sF2)
| spl4_2 ),
inference(forward_demodulation,[],[f61,f312]) ).
fof(f312,plain,
sF2 = sF3,
inference(forward_demodulation,[],[f305,f51]) ).
fof(f51,plain,
addition(one,sF1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f305,plain,
addition(one,sF1) = sF3,
inference(superposition,[],[f224,f35]) ).
fof(f35,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',additive_commutativity) ).
fof(f224,plain,
sF3 = addition(sF1,one),
inference(forward_demodulation,[],[f219,f52]) ).
fof(f52,plain,
strong_iteration(sF1) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f219,plain,
strong_iteration(sF1) = addition(sF1,one),
inference(superposition,[],[f45,f216]) ).
fof(f216,plain,
! [X0] : sF1 = multiplication(sF1,X0),
inference(forward_demodulation,[],[f215,f50]) ).
fof(f50,plain,
multiplication(sK0,zero) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f215,plain,
! [X0] : multiplication(sK0,zero) = multiplication(sF1,X0),
inference(forward_demodulation,[],[f206,f42]) ).
fof(f42,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',left_annihilation) ).
fof(f206,plain,
! [X0] : multiplication(sK0,multiplication(zero,X0)) = multiplication(sF1,X0),
inference(superposition,[],[f44,f50]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',multiplicative_associativity) ).
fof(f45,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',infty_unfold1) ).
fof(f61,plain,
( ~ leq(sF2,sF3)
| spl4_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl4_2
<=> leq(sF2,sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f324,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f323]) ).
fof(f323,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f320,f97]) ).
fof(f320,plain,
( ~ leq(sF2,sF2)
| spl4_1 ),
inference(superposition,[],[f57,f312]) ).
fof(f57,plain,
( ~ leq(sF3,sF2)
| spl4_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl4_1
<=> leq(sF3,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f62,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f53,f59,f55]) ).
fof(f53,plain,
( ~ leq(sF2,sF3)
| ~ leq(sF3,sF2) ),
inference(definition_folding,[],[f30,f51,f50,f52,f50,f52,f50,f51,f50]) ).
fof(f30,plain,
( ~ leq(addition(one,multiplication(sK0,zero)),strong_iteration(multiplication(sK0,zero)))
| ~ leq(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(sK0,zero))) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ~ leq(addition(one,multiplication(sK0,zero)),strong_iteration(multiplication(sK0,zero)))
| ~ leq(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(sK0,zero))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).
fof(f27,plain,
( ? [X0] :
( ~ leq(addition(one,multiplication(X0,zero)),strong_iteration(multiplication(X0,zero)))
| ~ leq(strong_iteration(multiplication(X0,zero)),addition(one,multiplication(X0,zero))) )
=> ( ~ leq(addition(one,multiplication(sK0,zero)),strong_iteration(multiplication(sK0,zero)))
| ~ leq(strong_iteration(multiplication(sK0,zero)),addition(one,multiplication(sK0,zero))) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] :
( ~ leq(addition(one,multiplication(X0,zero)),strong_iteration(multiplication(X0,zero)))
| ~ leq(strong_iteration(multiplication(X0,zero)),addition(one,multiplication(X0,zero))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] :
( leq(addition(one,multiplication(X0,zero)),strong_iteration(multiplication(X0,zero)))
& leq(strong_iteration(multiplication(X0,zero)),addition(one,multiplication(X0,zero))) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] :
( leq(addition(one,multiplication(X3,zero)),strong_iteration(multiplication(X3,zero)))
& leq(strong_iteration(multiplication(X3,zero)),addition(one,multiplication(X3,zero))) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] :
( leq(addition(one,multiplication(X3,zero)),strong_iteration(multiplication(X3,zero)))
& leq(strong_iteration(multiplication(X3,zero)),addition(one,multiplication(X3,zero))) ),
file('/export/starexec/sandbox/tmp/tmp.PWNDpqEf2y/Vampire---4.8_15153',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : KLE150+2 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % 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
% 0.12/0.31 % Computer : n031.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 19:13:44 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.32 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.PWNDpqEf2y/Vampire---4.8_15153
% 0.48/0.70 % (15418)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)
% 0.48/0.70 % (15419)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)
% 0.48/0.70 % (15412)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)
% 0.48/0.70 % (15414)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.48/0.70 % (15416)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)
% 0.48/0.70 % (15413)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)
% 0.48/0.70 % (15417)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)
% 0.48/0.70 % (15415)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)
% 0.48/0.70 % (15419)Refutation not found, incomplete strategy% (15419)------------------------------
% 0.48/0.70 % (15419)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.70 % (15419)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70
% 0.48/0.70 % (15419)Memory used [KB]: 969
% 0.48/0.70 % (15419)Time elapsed: 0.003 s
% 0.48/0.70 % (15419)Instructions burned: 3 (million)
% 0.48/0.70 % (15419)------------------------------
% 0.48/0.70 % (15419)------------------------------
% 0.48/0.70 % (15418)Refutation not found, incomplete strategy% (15418)------------------------------
% 0.48/0.70 % (15418)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.70 % (15418)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70
% 0.48/0.70 % (15418)Memory used [KB]: 1034
% 0.48/0.70 % (15418)Time elapsed: 0.002 s
% 0.48/0.70 % (15418)Instructions burned: 4 (million)
% 0.48/0.70 % (15418)------------------------------
% 0.48/0.70 % (15418)------------------------------
% 0.48/0.70 % (15416)Refutation not found, incomplete strategy% (15416)------------------------------
% 0.48/0.70 % (15416)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.70 % (15416)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70
% 0.48/0.70 % (15416)Memory used [KB]: 1033
% 0.48/0.70 % (15416)Time elapsed: 0.003 s
% 0.48/0.70 % (15416)Instructions burned: 3 (million)
% 0.48/0.70 % (15416)------------------------------
% 0.48/0.70 % (15416)------------------------------
% 0.48/0.70 % (15417)Refutation not found, incomplete strategy% (15417)------------------------------
% 0.48/0.70 % (15417)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.70 % (15417)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70
% 0.48/0.70 % (15412)Refutation not found, incomplete strategy% (15412)------------------------------
% 0.48/0.70 % (15412)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.70 % (15417)Memory used [KB]: 1033
% 0.48/0.70 % (15412)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70
% 0.48/0.70 % (15417)Time elapsed: 0.003 s
% 0.48/0.70 % (15412)Memory used [KB]: 1062
% 0.48/0.70 % (15417)Instructions burned: 3 (million)
% 0.48/0.70 % (15412)Time elapsed: 0.003 s
% 0.48/0.70 % (15417)------------------------------
% 0.48/0.70 % (15417)------------------------------
% 0.48/0.70 % (15412)Instructions burned: 3 (million)
% 0.48/0.70 % (15412)------------------------------
% 0.48/0.70 % (15412)------------------------------
% 0.48/0.70 % (15415)Refutation not found, incomplete strategy% (15415)------------------------------
% 0.48/0.70 % (15415)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.70 % (15415)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.70
% 0.48/0.70 % (15415)Memory used [KB]: 1036
% 0.48/0.70 % (15415)Time elapsed: 0.004 s
% 0.48/0.70 % (15415)Instructions burned: 4 (million)
% 0.48/0.70 % (15415)------------------------------
% 0.48/0.70 % (15415)------------------------------
% 0.48/0.70 % (15420)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)
% 0.56/0.70 % (15422)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)
% 0.56/0.70 % (15423)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)
% 0.56/0.70 % (15424)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)
% 0.56/0.70 % (15425)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)
% 0.56/0.70 % (15424)Refutation not found, incomplete strategy% (15424)------------------------------
% 0.56/0.70 % (15424)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.70 % (15424)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.70
% 0.56/0.70 % (15424)Memory used [KB]: 1034
% 0.56/0.70 % (15424)Time elapsed: 0.004 s
% 0.56/0.70 % (15424)Instructions burned: 3 (million)
% 0.56/0.70 % (15424)------------------------------
% 0.56/0.70 % (15424)------------------------------
% 0.56/0.70 % (15425)Refutation not found, incomplete strategy% (15425)------------------------------
% 0.56/0.70 % (15425)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.70 % (15425)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.70
% 0.56/0.70 % (15425)Memory used [KB]: 1047
% 0.56/0.70 % (15425)Time elapsed: 0.004 s
% 0.56/0.70 % (15425)Instructions burned: 3 (million)
% 0.56/0.70 % (15425)------------------------------
% 0.56/0.70 % (15425)------------------------------
% 0.56/0.71 % (15426)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)
% 0.56/0.71 % (15421)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)
% 0.56/0.71 % (15427)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)
% 0.56/0.71 % (15421)Refutation not found, incomplete strategy% (15421)------------------------------
% 0.56/0.71 % (15421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.71 % (15421)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.71
% 0.56/0.71 % (15421)Memory used [KB]: 980
% 0.56/0.71 % (15421)Time elapsed: 0.003 s
% 0.56/0.71 % (15421)Instructions burned: 3 (million)
% 0.56/0.71 % (15421)------------------------------
% 0.56/0.71 % (15421)------------------------------
% 0.56/0.71 % (15427)Refutation not found, incomplete strategy% (15427)------------------------------
% 0.56/0.71 % (15427)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.71 % (15427)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.71
% 0.56/0.71 % (15427)Memory used [KB]: 1034
% 0.56/0.71 % (15427)Time elapsed: 0.004 s
% 0.56/0.71 % (15427)Instructions burned: 3 (million)
% 0.56/0.71 % (15422)First to succeed.
% 0.56/0.71 % (15427)------------------------------
% 0.56/0.71 % (15427)------------------------------
% 0.56/0.71 % (15422)Refutation found. Thanks to Tanya!
% 0.56/0.71 % SZS status Theorem for Vampire---4
% 0.56/0.71 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.71 % (15422)------------------------------
% 0.56/0.71 % (15422)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.71 % (15422)Termination reason: Refutation
% 0.56/0.71
% 0.56/0.71 % (15422)Memory used [KB]: 1107
% 0.56/0.71 % (15422)Time elapsed: 0.012 s
% 0.56/0.71 % (15422)Instructions burned: 16 (million)
% 0.56/0.71 % (15422)------------------------------
% 0.56/0.71 % (15422)------------------------------
% 0.56/0.71 % (15408)Success in time 0.383 s
% 0.56/0.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------