TSTP Solution File: KLE052+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE052+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 03:02:59 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 25 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f870,plain,
$false,
inference(trivial_inequality_removal,[],[f860]) ).
fof(f860,plain,
sK0 != sK0,
inference(superposition,[],[f29,f815]) ).
fof(f815,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(backward_demodulation,[],[f37,f814]) ).
fof(f814,plain,
! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
inference(forward_demodulation,[],[f777,f44]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.lcQ1a2nqgD/Vampire---4.8_30983',multiplicative_left_identity) ).
fof(f777,plain,
! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(domain(X0),X1)),
inference(superposition,[],[f170,f48]) ).
fof(f48,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f40,f35]) ).
fof(f35,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : one = addition(domain(X0),one),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : one = addition(domain(X3),one),
file('/export/starexec/sandbox2/tmp/tmp.lcQ1a2nqgD/Vampire---4.8_30983',domain3) ).
fof(f40,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.lcQ1a2nqgD/Vampire---4.8_30983',additive_commutativity) ).
fof(f170,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f44]) ).
fof(f30,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/sandbox2/tmp/tmp.lcQ1a2nqgD/Vampire---4.8_30983',left_distributivity) ).
fof(f37,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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/sandbox2/tmp/tmp.lcQ1a2nqgD/Vampire---4.8_30983',domain1) ).
fof(f29,plain,
sK0 != multiplication(domain(sK0),sK0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
sK0 != multiplication(domain(sK0),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f26,f27]) ).
fof(f27,plain,
( ? [X0] : multiplication(domain(X0),X0) != X0
=> sK0 != multiplication(domain(sK0),sK0) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0] : multiplication(domain(X0),X0) != X0,
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0] : multiplication(domain(X0),X0) = X0,
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X3] : multiplication(domain(X3),X3) = X3,
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X3] : multiplication(domain(X3),X3) = X3,
file('/export/starexec/sandbox2/tmp/tmp.lcQ1a2nqgD/Vampire---4.8_30983',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE052+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n027.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 : Tue Apr 30 19:08:33 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.lcQ1a2nqgD/Vampire---4.8_30983
% 0.61/0.79 % (31190)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (31195)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)
% 0.61/0.79 % (31195)Refutation not found, incomplete strategy% (31195)------------------------------
% 0.61/0.79 % (31195)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (31195)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (31195)Memory used [KB]: 972
% 0.61/0.79 % (31195)Time elapsed: 0.003 s
% 0.61/0.79 % (31195)Instructions burned: 2 (million)
% 0.61/0.79 % (31195)------------------------------
% 0.61/0.79 % (31195)------------------------------
% 0.61/0.79 % (31191)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)
% 0.61/0.79 % (31188)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)
% 0.61/0.79 % (31189)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)
% 0.61/0.79 % (31192)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)
% 0.61/0.79 % (31193)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)
% 0.61/0.79 % (31194)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)
% 0.61/0.79 % (31191)Refutation not found, incomplete strategy% (31191)------------------------------
% 0.61/0.79 % (31191)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (31191)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (31191)Memory used [KB]: 973
% 0.61/0.79 % (31192)Refutation not found, incomplete strategy% (31192)------------------------------
% 0.61/0.79 % (31192)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (31192)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31192)Memory used [KB]: 988
% 0.61/0.80 % (31192)Time elapsed: 0.005 s
% 0.61/0.80 % (31192)Instructions burned: 2 (million)
% 0.61/0.80 % (31193)Refutation not found, incomplete strategy% (31193)------------------------------
% 0.61/0.80 % (31193)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (31192)------------------------------
% 0.61/0.80 % (31192)------------------------------
% 0.61/0.80 % (31193)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31193)Memory used [KB]: 971
% 0.61/0.80 % (31193)Time elapsed: 0.005 s
% 0.61/0.80 % (31193)Instructions burned: 2 (million)
% 0.61/0.80 % (31193)------------------------------
% 0.61/0.80 % (31193)------------------------------
% 0.61/0.80 % (31191)Time elapsed: 0.005 s
% 0.61/0.80 % (31191)Instructions burned: 2 (million)
% 0.61/0.80 % (31188)Refutation not found, incomplete strategy% (31188)------------------------------
% 0.61/0.80 % (31188)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (31188)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31188)Memory used [KB]: 988
% 0.61/0.80 % (31188)Time elapsed: 0.004 s
% 0.61/0.80 % (31188)Instructions burned: 3 (million)
% 0.61/0.80 % (31188)------------------------------
% 0.61/0.80 % (31188)------------------------------
% 0.61/0.80 % (31191)------------------------------
% 0.61/0.80 % (31191)------------------------------
% 0.61/0.80 % (31194)Refutation not found, incomplete strategy% (31194)------------------------------
% 0.61/0.80 % (31194)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (31194)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31194)Memory used [KB]: 972
% 0.61/0.80 % (31194)Time elapsed: 0.004 s
% 0.61/0.80 % (31194)Instructions burned: 2 (million)
% 0.61/0.80 % (31194)------------------------------
% 0.61/0.80 % (31194)------------------------------
% 0.61/0.80 % (31197)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)
% 0.61/0.80 % (31199)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)
% 0.61/0.80 % (31198)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)
% 0.61/0.80 % (31200)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)
% 0.61/0.80 % (31201)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)
% 0.61/0.80 % (31202)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)
% 0.61/0.80 % (31198)Refutation not found, incomplete strategy% (31198)------------------------------
% 0.61/0.80 % (31198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (31198)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31198)Memory used [KB]: 970
% 0.61/0.80 % (31198)Time elapsed: 0.004 s
% 0.61/0.80 % (31198)Instructions burned: 2 (million)
% 0.61/0.80 % (31198)------------------------------
% 0.61/0.80 % (31198)------------------------------
% 0.61/0.80 % (31201)Refutation not found, incomplete strategy% (31201)------------------------------
% 0.61/0.80 % (31201)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (31201)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31201)Memory used [KB]: 973
% 0.61/0.80 % (31201)Time elapsed: 0.005 s
% 0.61/0.80 % (31201)Instructions burned: 2 (million)
% 0.61/0.80 % (31201)------------------------------
% 0.61/0.80 % (31201)------------------------------
% 0.61/0.80 % (31202)Refutation not found, incomplete strategy% (31202)------------------------------
% 0.61/0.80 % (31202)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (31202)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (31202)Memory used [KB]: 973
% 0.61/0.80 % (31202)Time elapsed: 0.004 s
% 0.61/0.80 % (31202)Instructions burned: 2 (million)
% 0.61/0.80 % (31202)------------------------------
% 0.61/0.80 % (31202)------------------------------
% 0.61/0.81 % (31205)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)
% 0.61/0.81 % (31206)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)
% 0.61/0.81 % (31207)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)
% 0.61/0.81 % (31206)Refutation not found, incomplete strategy% (31206)------------------------------
% 0.61/0.81 % (31206)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (31206)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (31206)Memory used [KB]: 972
% 0.61/0.81 % (31206)Time elapsed: 0.005 s
% 0.61/0.81 % (31206)Instructions burned: 2 (million)
% 0.61/0.81 % (31206)------------------------------
% 0.61/0.81 % (31206)------------------------------
% 0.61/0.81 % (31207)Refutation not found, incomplete strategy% (31207)------------------------------
% 0.61/0.81 % (31207)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (31207)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (31207)Memory used [KB]: 1055
% 0.61/0.81 % (31207)Time elapsed: 0.006 s
% 0.61/0.81 % (31207)Instructions burned: 4 (million)
% 0.61/0.81 % (31207)------------------------------
% 0.61/0.81 % (31207)------------------------------
% 0.61/0.82 % (31209)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)
% 0.61/0.82 % (31210)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)
% 0.61/0.82 % (31190)First to succeed.
% 0.61/0.82 % (31210)Refutation not found, incomplete strategy% (31210)------------------------------
% 0.61/0.82 % (31210)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (31210)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (31210)Memory used [KB]: 974
% 0.61/0.82 % (31210)Time elapsed: 0.003 s
% 0.61/0.82 % (31210)Instructions burned: 2 (million)
% 0.61/0.82 % (31210)------------------------------
% 0.61/0.82 % (31210)------------------------------
% 0.61/0.82 % (31190)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Theorem for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (31190)------------------------------
% 0.61/0.82 % (31190)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (31190)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (31190)Memory used [KB]: 1361
% 0.61/0.82 % (31190)Time elapsed: 0.032 s
% 0.61/0.82 % (31190)Instructions burned: 57 (million)
% 0.61/0.82 % (31190)------------------------------
% 0.61/0.82 % (31190)------------------------------
% 0.61/0.82 % (31161)Success in time 0.446 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------