TSTP Solution File: KLE148+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE148+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 : n027.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 03:03:28 EDT 2024
% Result : Theorem 0.63s 0.81s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 24 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,plain,
$false,
inference(subsumption_resolution,[],[f271,f31]) ).
fof(f31,plain,
sK0 != multiplication(sK0,strong_iteration(sK1)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( sK0 != multiplication(sK0,strong_iteration(sK1))
& zero = multiplication(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f23,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( multiplication(X0,strong_iteration(X1)) != X0
& zero = multiplication(X0,X1) )
=> ( sK0 != multiplication(sK0,strong_iteration(sK1))
& zero = multiplication(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1] :
( multiplication(X0,strong_iteration(X1)) != X0
& zero = multiplication(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ! [X0,X1] :
( zero = multiplication(X0,X1)
=> multiplication(X0,strong_iteration(X1)) = X0 ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( zero = multiplication(X3,X4)
=> multiplication(X3,strong_iteration(X4)) = X3 ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( zero = multiplication(X3,X4)
=> multiplication(X3,strong_iteration(X4)) = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',goals) ).
fof(f271,plain,
sK0 = multiplication(sK0,strong_iteration(sK1)),
inference(forward_demodulation,[],[f258,f42]) ).
fof(f42,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',multiplicative_right_identity) ).
fof(f258,plain,
multiplication(sK0,strong_iteration(sK1)) = multiplication(sK0,one),
inference(superposition,[],[f162,f35]) ).
fof(f35,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/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',infty_unfold1) ).
fof(f162,plain,
! [X0,X1] : multiplication(sK0,addition(multiplication(sK1,X0),X1)) = multiplication(sK0,X1),
inference(forward_demodulation,[],[f140,f51]) ).
fof(f51,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f47,f45]) ).
fof(f45,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',additive_identity) ).
fof(f47,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.z21H5XmuqE/Vampire---4.8_29809',additive_commutativity) ).
fof(f140,plain,
! [X0,X1] : multiplication(sK0,addition(multiplication(sK1,X0),X1)) = addition(zero,multiplication(sK0,X1)),
inference(superposition,[],[f40,f83]) ).
fof(f83,plain,
! [X0] : zero = multiplication(sK0,multiplication(sK1,X0)),
inference(forward_demodulation,[],[f75,f38]) ).
fof(f38,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',left_annihilation) ).
fof(f75,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK0,multiplication(sK1,X0)),
inference(superposition,[],[f43,f30]) ).
fof(f30,plain,
zero = multiplication(sK0,sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f43,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/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',multiplicative_associativity) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.z21H5XmuqE/Vampire---4.8_29809',distributivity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : KLE148+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % 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
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 19:08:17 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.z21H5XmuqE/Vampire---4.8_29809
% 0.60/0.80 % (29920)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 (2995ds/34Mi)
% 0.60/0.80 % (29924)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 (2995ds/34Mi)
% 0.60/0.80 % (29923)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (29922)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (29921)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 (2995ds/51Mi)
% 0.60/0.80 % (29925)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (29926)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 (2995ds/83Mi)
% 0.60/0.80 % (29927)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 (2995ds/56Mi)
% 0.60/0.80 % (29924)Refutation not found, incomplete strategy% (29924)------------------------------
% 0.60/0.80 % (29924)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (29924)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (29924)Memory used [KB]: 981
% 0.60/0.80 % (29924)Time elapsed: 0.003 s
% 0.60/0.80 % (29924)Instructions burned: 3 (million)
% 0.60/0.80 % (29924)------------------------------
% 0.60/0.80 % (29924)------------------------------
% 0.60/0.80 % (29923)Refutation not found, incomplete strategy% (29923)------------------------------
% 0.60/0.80 % (29923)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (29920)Refutation not found, incomplete strategy% (29920)------------------------------
% 0.60/0.80 % (29920)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (29923)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (29923)Memory used [KB]: 965
% 0.60/0.80 % (29923)Time elapsed: 0.003 s
% 0.60/0.80 % (29923)Instructions burned: 2 (million)
% 0.60/0.80 % (29923)------------------------------
% 0.60/0.80 % (29923)------------------------------
% 0.60/0.80 % (29920)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (29920)Memory used [KB]: 981
% 0.60/0.80 % (29920)Time elapsed: 0.003 s
% 0.60/0.80 % (29920)Instructions burned: 3 (million)
% 0.60/0.80 % (29920)------------------------------
% 0.60/0.80 % (29920)------------------------------
% 0.60/0.80 % (29927)Refutation not found, incomplete strategy% (29927)------------------------------
% 0.60/0.80 % (29927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (29927)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (29927)Memory used [KB]: 967
% 0.60/0.80 % (29927)Time elapsed: 0.003 s
% 0.60/0.80 % (29927)Instructions burned: 3 (million)
% 0.60/0.80 % (29927)------------------------------
% 0.60/0.80 % (29927)------------------------------
% 0.60/0.80 % (29928)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 (2995ds/55Mi)
% 0.60/0.80 % (29929)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)
% 0.60/0.80 % (29930)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)
% 0.60/0.80 % (29931)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)
% 0.63/0.80 % (29929)Refutation not found, incomplete strategy% (29929)------------------------------
% 0.63/0.80 % (29929)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.80 % (29929)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80
% 0.63/0.80 % (29929)Memory used [KB]: 964
% 0.63/0.80 % (29929)Time elapsed: 0.003 s
% 0.63/0.80 % (29929)Instructions burned: 3 (million)
% 0.63/0.80 % (29929)------------------------------
% 0.63/0.80 % (29929)------------------------------
% 0.63/0.81 % (29932)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)
% 0.63/0.81 % (29931)First to succeed.
% 0.63/0.81 % (29931)Refutation found. Thanks to Tanya!
% 0.63/0.81 % SZS status Theorem for Vampire---4
% 0.63/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.81 % (29931)------------------------------
% 0.63/0.81 % (29931)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.81 % (29931)Termination reason: Refutation
% 0.63/0.81
% 0.63/0.81 % (29931)Memory used [KB]: 1100
% 0.63/0.81 % (29931)Time elapsed: 0.011 s
% 0.63/0.81 % (29931)Instructions burned: 18 (million)
% 0.63/0.81 % (29931)------------------------------
% 0.63/0.81 % (29931)------------------------------
% 0.63/0.81 % (29917)Success in time 0.497 s
% 0.63/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------