TSTP Solution File: KLE061+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE061+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 03:03:01 EDT 2024
% Result : Theorem 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 35 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f422,plain,
$false,
inference(subsumption_resolution,[],[f417,f47]) ).
fof(f47,plain,
sP1(sF2),
inference(definition_folding,[],[f45,f46]) ).
fof(f46,plain,
domain(sK0) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f45,plain,
sP1(domain(sK0)),
inference(inequality_splitting,[],[f27,f44]) ).
fof(f44,plain,
~ sP1(multiplication(domain(sK0),domain(sK0))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f27,plain,
domain(sK0) != multiplication(domain(sK0),domain(sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
? [X0] : domain(X0) != multiplication(domain(X0),domain(X0)),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0] : domain(X0) = multiplication(domain(X0),domain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] : domain(X3) = multiplication(domain(X3),domain(X3)),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] : domain(X3) = multiplication(domain(X3),domain(X3)),
file('/export/starexec/sandbox/tmp/tmp.bNEqn3eFvK/Vampire---4.8_26524',goals) ).
fof(f417,plain,
~ sP1(sF2),
inference(backward_demodulation,[],[f50,f321]) ).
fof(f321,plain,
sF2 = multiplication(sF2,sF2),
inference(superposition,[],[f289,f75]) ).
fof(f75,plain,
sF2 = domain(sF2),
inference(superposition,[],[f67,f46]) ).
fof(f67,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f64,f42]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.bNEqn3eFvK/Vampire---4.8_26524',multiplicative_left_identity) ).
fof(f64,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f34,f42]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox/tmp/tmp.bNEqn3eFvK/Vampire---4.8_26524',domain2) ).
fof(f289,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f35,f177]) ).
fof(f177,plain,
! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
inference(forward_demodulation,[],[f161,f42]) ).
fof(f161,plain,
! [X0,X1] : multiplication(one,X1) = addition(multiplication(one,X1),multiplication(domain(X0),X1)),
inference(superposition,[],[f28,f53]) ).
fof(f53,plain,
! [X0] : one = addition(one,domain(X0)),
inference(backward_demodulation,[],[f38,f33]) ).
fof(f33,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.bNEqn3eFvK/Vampire---4.8_26524',additive_commutativity) ).
fof(f38,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox/tmp/tmp.bNEqn3eFvK/Vampire---4.8_26524',domain3) ).
fof(f28,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.bNEqn3eFvK/Vampire---4.8_26524',left_distributivity) ).
fof(f35,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
file('/export/starexec/sandbox/tmp/tmp.bNEqn3eFvK/Vampire---4.8_26524',domain1) ).
fof(f50,plain,
~ sP1(multiplication(sF2,sF2)),
inference(backward_demodulation,[],[f49,f48]) ).
fof(f48,plain,
multiplication(sF2,sF2) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f49,plain,
~ sP1(sF3),
inference(definition_folding,[],[f44,f48,f46,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KLE061+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % 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
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 18:55:41 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.bNEqn3eFvK/Vampire---4.8_26524
% 0.61/0.81 % (26639)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)
% 0.61/0.81 % (26640)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)
% 0.61/0.81 % (26641)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (26643)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)
% 0.61/0.81 % (26642)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)
% 0.61/0.81 % (26644)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)
% 0.61/0.81 % (26645)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)
% 0.61/0.81 % (26646)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)
% 0.61/0.81 % (26643)Refutation not found, incomplete strategy% (26643)------------------------------
% 0.61/0.81 % (26643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (26643)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (26643)Memory used [KB]: 988
% 0.61/0.81 % (26643)Time elapsed: 0.003 s
% 0.61/0.81 % (26643)Instructions burned: 2 (million)
% 0.61/0.81 % (26643)------------------------------
% 0.61/0.81 % (26643)------------------------------
% 0.61/0.81 % (26642)Refutation not found, incomplete strategy% (26642)------------------------------
% 0.61/0.81 % (26642)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (26642)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (26642)Memory used [KB]: 973
% 0.61/0.81 % (26642)Time elapsed: 0.003 s
% 0.61/0.81 % (26642)Instructions burned: 2 (million)
% 0.61/0.81 % (26642)------------------------------
% 0.61/0.81 % (26642)------------------------------
% 0.61/0.81 % (26645)Refutation not found, incomplete strategy% (26645)------------------------------
% 0.61/0.81 % (26645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (26645)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (26645)Memory used [KB]: 971
% 0.61/0.81 % (26645)Time elapsed: 0.003 s
% 0.61/0.81 % (26645)Instructions burned: 2 (million)
% 0.61/0.81 % (26645)------------------------------
% 0.61/0.81 % (26645)------------------------------
% 0.61/0.81 % (26639)Refutation not found, incomplete strategy% (26639)------------------------------
% 0.61/0.81 % (26639)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (26639)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (26639)Memory used [KB]: 988
% 0.61/0.81 % (26639)Time elapsed: 0.003 s
% 0.61/0.81 % (26639)Instructions burned: 3 (million)
% 0.61/0.81 % (26639)------------------------------
% 0.61/0.81 % (26639)------------------------------
% 0.61/0.81 % (26646)Refutation not found, incomplete strategy% (26646)------------------------------
% 0.61/0.81 % (26646)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (26646)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (26646)Memory used [KB]: 972
% 0.61/0.81 % (26646)Time elapsed: 0.004 s
% 0.61/0.81 % (26646)Instructions burned: 2 (million)
% 0.61/0.81 % (26646)------------------------------
% 0.61/0.81 % (26646)------------------------------
% 0.61/0.81 % (26644)Refutation not found, incomplete strategy% (26644)------------------------------
% 0.61/0.81 % (26644)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (26644)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (26644)Memory used [KB]: 971
% 0.61/0.81 % (26644)Time elapsed: 0.003 s
% 0.61/0.81 % (26644)Instructions burned: 2 (million)
% 0.61/0.81 % (26644)------------------------------
% 0.61/0.81 % (26644)------------------------------
% 0.61/0.81 % (26647)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)
% 0.61/0.81 % (26648)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)
% 0.61/0.81 % (26649)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)
% 0.61/0.81 % (26650)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)
% 0.61/0.82 % (26651)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)
% 0.61/0.82 % (26648)Refutation not found, incomplete strategy% (26648)------------------------------
% 0.61/0.82 % (26648)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (26648)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (26648)Memory used [KB]: 970
% 0.61/0.82 % (26648)Time elapsed: 0.002 s
% 0.61/0.82 % (26648)Instructions burned: 2 (million)
% 0.61/0.82 % (26648)------------------------------
% 0.61/0.82 % (26648)------------------------------
% 0.61/0.82 % (26652)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)
% 0.61/0.82 % (26651)Refutation not found, incomplete strategy% (26651)------------------------------
% 0.61/0.82 % (26651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (26651)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (26651)Memory used [KB]: 973
% 0.61/0.82 % (26651)Time elapsed: 0.002 s
% 0.61/0.82 % (26651)Instructions burned: 2 (million)
% 0.61/0.82 % (26651)------------------------------
% 0.61/0.82 % (26651)------------------------------
% 0.61/0.82 % (26652)Refutation not found, incomplete strategy% (26652)------------------------------
% 0.61/0.82 % (26652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (26652)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (26652)Memory used [KB]: 973
% 0.61/0.82 % (26652)Time elapsed: 0.002 s
% 0.61/0.82 % (26652)Instructions burned: 2 (million)
% 0.61/0.82 % (26652)------------------------------
% 0.61/0.82 % (26652)------------------------------
% 0.61/0.82 % (26653)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)
% 0.61/0.82 % (26654)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)
% 0.61/0.82 % (26655)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)
% 0.61/0.82 % (26654)Refutation not found, incomplete strategy% (26654)------------------------------
% 0.61/0.82 % (26654)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (26654)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (26654)Memory used [KB]: 972
% 0.61/0.82 % (26654)Time elapsed: 0.002 s
% 0.61/0.82 % (26654)Instructions burned: 2 (million)
% 0.61/0.82 % (26654)------------------------------
% 0.61/0.82 % (26654)------------------------------
% 0.61/0.82 % (26655)Refutation not found, incomplete strategy% (26655)------------------------------
% 0.61/0.82 % (26655)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (26655)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (26655)Memory used [KB]: 1055
% 0.61/0.82 % (26655)Time elapsed: 0.003 s
% 0.61/0.82 % (26655)Instructions burned: 4 (million)
% 0.61/0.82 % (26655)------------------------------
% 0.61/0.82 % (26655)------------------------------
% 0.61/0.82 % (26656)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.61/0.83 % (26657)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.61/0.83 % (26657)Refutation not found, incomplete strategy% (26657)------------------------------
% 0.61/0.83 % (26657)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (26657)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83
% 0.61/0.83 % (26657)Memory used [KB]: 974
% 0.61/0.83 % (26657)Time elapsed: 0.002 s
% 0.61/0.83 % (26657)Instructions burned: 2 (million)
% 0.61/0.83 % (26657)------------------------------
% 0.61/0.83 % (26657)------------------------------
% 0.61/0.83 % (26653)First to succeed.
% 0.61/0.83 % (26653)Refutation found. Thanks to Tanya!
% 0.61/0.83 % SZS status Theorem for Vampire---4
% 0.61/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83 % (26653)------------------------------
% 0.61/0.83 % (26653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (26653)Termination reason: Refutation
% 0.61/0.83
% 0.61/0.83 % (26653)Memory used [KB]: 1193
% 0.61/0.83 % (26653)Time elapsed: 0.011 s
% 0.61/0.83 % (26653)Instructions burned: 19 (million)
% 0.61/0.83 % (26653)------------------------------
% 0.61/0.83 % (26653)------------------------------
% 0.61/0.83 % (26633)Success in time 0.5 s
% 0.61/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------