TSTP Solution File: KLE137+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE137+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n014.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 03:03:23 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 23 unt; 0 def)
% Number of atoms : 43 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 7 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 45 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f512,plain,
$false,
inference(subsumption_resolution,[],[f511,f136]) ).
fof(f136,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,X0)),
inference(superposition,[],[f87,f44]) ).
fof(f44,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/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',additive_commutativity) ).
fof(f87,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f43,f42]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',idempotence) ).
fof(f43,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',additive_associativity) ).
fof(f511,plain,
addition(one,sK0) != addition(sK0,addition(one,sK0)),
inference(resolution,[],[f507,f32]) ).
fof(f32,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != 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/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',order) ).
fof(f507,plain,
~ leq(sK0,addition(one,sK0)),
inference(forward_demodulation,[],[f504,f39]) ).
fof(f39,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',multiplicative_left_identity) ).
fof(f504,plain,
~ leq(sK0,addition(one,multiplication(one,sK0))),
inference(resolution,[],[f134,f30]) ).
fof(f30,plain,
~ leq(sK0,strong_iteration(one)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
~ leq(sK0,strong_iteration(one)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f27]) ).
fof(f27,plain,
( ? [X0] : ~ leq(X0,strong_iteration(one))
=> ~ leq(sK0,strong_iteration(one)) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] : ~ leq(X0,strong_iteration(one)),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0] : leq(X0,strong_iteration(one)),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3] : leq(X3,strong_iteration(one)),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3] : leq(X3,strong_iteration(one)),
file('/export/starexec/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',goals) ).
fof(f134,plain,
! [X0,X1] :
( leq(X1,strong_iteration(X0))
| ~ leq(X1,addition(one,multiplication(X0,X1))) ),
inference(forward_demodulation,[],[f130,f44]) ).
fof(f130,plain,
! [X0,X1] :
( leq(X1,strong_iteration(X0))
| ~ leq(X1,addition(multiplication(X0,X1),one)) ),
inference(superposition,[],[f33,f40]) ).
fof(f40,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',multiplicative_right_identity) ).
fof(f33,plain,
! [X2,X0,X1] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.BwGMr3DzNl/Vampire---4.8_21486',infty_coinduction) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % 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
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:31:49 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.BwGMr3DzNl/Vampire---4.8_21486
% 0.61/0.77 % (21703)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.77 % (21706)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)
% 0.61/0.77 % (21701)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)
% 0.61/0.77 % (21702)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)
% 0.61/0.77 % (21704)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)
% 0.61/0.77 % (21705)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)
% 0.61/0.77 % (21707)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)
% 0.61/0.77 % (21706)Refutation not found, incomplete strategy% (21706)------------------------------
% 0.61/0.77 % (21706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (21706)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (21706)Memory used [KB]: 963
% 0.61/0.77 % (21706)Time elapsed: 0.003 s
% 0.61/0.77 % (21706)Instructions burned: 2 (million)
% 0.61/0.77 % (21706)------------------------------
% 0.61/0.77 % (21706)------------------------------
% 0.61/0.77 % (21708)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)
% 0.61/0.77 % (21705)Refutation not found, incomplete strategy% (21705)------------------------------
% 0.61/0.77 % (21705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (21704)Refutation not found, incomplete strategy% (21704)------------------------------
% 0.61/0.77 % (21704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (21705)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (21705)Memory used [KB]: 967
% 0.61/0.77 % (21705)Time elapsed: 0.004 s
% 0.61/0.77 % (21705)Instructions burned: 2 (million)
% 0.61/0.77 % (21705)------------------------------
% 0.61/0.77 % (21705)------------------------------
% 0.61/0.77 % (21701)Refutation not found, incomplete strategy% (21701)------------------------------
% 0.61/0.77 % (21701)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (21701)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (21701)Memory used [KB]: 993
% 0.61/0.77 % (21701)Time elapsed: 0.004 s
% 0.61/0.77 % (21701)Instructions burned: 3 (million)
% 0.61/0.77 % (21701)------------------------------
% 0.61/0.77 % (21701)------------------------------
% 0.61/0.77 % (21704)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (21704)Memory used [KB]: 965
% 0.61/0.77 % (21704)Time elapsed: 0.005 s
% 0.61/0.77 % (21704)Instructions burned: 2 (million)
% 0.61/0.77 % (21704)------------------------------
% 0.61/0.77 % (21704)------------------------------
% 0.61/0.77 % (21708)Refutation not found, incomplete strategy% (21708)------------------------------
% 0.61/0.77 % (21708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (21708)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (21708)Memory used [KB]: 966
% 0.61/0.77 % (21708)Time elapsed: 0.005 s
% 0.61/0.77 % (21708)Instructions burned: 2 (million)
% 0.61/0.77 % (21708)------------------------------
% 0.61/0.77 % (21708)------------------------------
% 0.61/0.77 % (21707)Refutation not found, incomplete strategy% (21707)------------------------------
% 0.61/0.77 % (21707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (21707)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (21707)Memory used [KB]: 1030
% 0.61/0.77 % (21707)Time elapsed: 0.005 s
% 0.61/0.78 % (21707)Instructions burned: 3 (million)
% 0.61/0.78 % (21707)------------------------------
% 0.61/0.78 % (21707)------------------------------
% 0.61/0.78 % (21709)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)
% 0.61/0.78 % (21711)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)
% 0.61/0.78 % (21710)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)
% 0.61/0.78 % (21712)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)
% 0.61/0.78 % (21713)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)
% 0.61/0.78 % (21714)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)
% 0.61/0.78 % (21710)Refutation not found, incomplete strategy% (21710)------------------------------
% 0.61/0.78 % (21710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (21710)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (21710)Memory used [KB]: 967
% 0.61/0.78 % (21710)Time elapsed: 0.004 s
% 0.61/0.78 % (21710)Instructions burned: 3 (million)
% 0.61/0.78 % (21710)------------------------------
% 0.61/0.78 % (21710)------------------------------
% 0.61/0.78 % (21713)Refutation not found, incomplete strategy% (21713)------------------------------
% 0.61/0.78 % (21713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (21713)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (21713)Memory used [KB]: 965
% 0.61/0.78 % (21713)Time elapsed: 0.005 s
% 0.61/0.78 % (21713)Instructions burned: 3 (million)
% 0.61/0.78 % (21713)------------------------------
% 0.61/0.78 % (21713)------------------------------
% 0.61/0.78 % (21714)Refutation not found, incomplete strategy% (21714)------------------------------
% 0.61/0.78 % (21714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (21714)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (21714)Memory used [KB]: 981
% 0.61/0.78 % (21714)Time elapsed: 0.004 s
% 0.61/0.78 % (21714)Instructions burned: 3 (million)
% 0.61/0.78 % (21714)------------------------------
% 0.61/0.78 % (21714)------------------------------
% 0.61/0.79 % (21716)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)
% 0.61/0.79 % (21717)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)
% 0.61/0.79 % (21718)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)
% 0.61/0.79 % (21703)First to succeed.
% 0.61/0.79 % (21717)Refutation not found, incomplete strategy% (21717)------------------------------
% 0.61/0.79 % (21717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (21717)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (21717)Memory used [KB]: 966
% 0.61/0.79 % (21717)Time elapsed: 0.005 s
% 0.61/0.79 % (21717)Instructions burned: 3 (million)
% 0.61/0.79 % (21717)------------------------------
% 0.61/0.79 % (21717)------------------------------
% 0.61/0.79 % (21703)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Theorem for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (21703)------------------------------
% 0.61/0.79 % (21703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (21703)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (21703)Memory used [KB]: 1333
% 0.61/0.79 % (21703)Time elapsed: 0.024 s
% 0.61/0.79 % (21703)Instructions burned: 45 (million)
% 0.61/0.79 % (21703)------------------------------
% 0.61/0.79 % (21703)------------------------------
% 0.61/0.79 % (21674)Success in time 0.413 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------