TSTP Solution File: KLE089+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE089+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 : 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 03:03:07 EDT 2024
% Result : Theorem 0.55s 0.71s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 26 unt; 0 def)
% Number of atoms : 40 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 0 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 29 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f179,plain,
$false,
inference(subsumption_resolution,[],[f178,f48]) ).
fof(f48,plain,
sP2(zero),
inference(inequality_splitting,[],[f45,f47]) ).
fof(f47,plain,
~ sP2(multiplication(antidomain(antidomain(sK0)),sK1)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f45,plain,
zero != multiplication(antidomain(antidomain(sK0)),sK1),
inference(definition_unfolding,[],[f32,f44]) ).
fof(f44,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/tmp/tmp.uaW3KUI2wi/Vampire---4.8_15266',domain4) ).
fof(f32,plain,
zero != multiplication(domain(sK0),sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( zero != multiplication(domain(sK0),sK1)
& antidomain(sK1) = addition(domain(sK0),antidomain(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f29]) ).
fof(f29,plain,
( ? [X0,X1] :
( zero != multiplication(domain(X0),X1)
& antidomain(X1) = addition(domain(X0),antidomain(X1)) )
=> ( zero != multiplication(domain(sK0),sK1)
& antidomain(sK1) = addition(domain(sK0),antidomain(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1] :
( zero != multiplication(domain(X0),X1)
& antidomain(X1) = addition(domain(X0),antidomain(X1)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( antidomain(X1) = addition(domain(X0),antidomain(X1))
=> zero = multiplication(domain(X0),X1) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X3,X4] :
( antidomain(X4) = addition(domain(X3),antidomain(X4))
=> zero = multiplication(domain(X3),X4) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X3,X4] :
( antidomain(X4) = addition(domain(X3),antidomain(X4))
=> zero = multiplication(domain(X3),X4) ),
file('/export/starexec/sandbox2/tmp/tmp.uaW3KUI2wi/Vampire---4.8_15266',goals) ).
fof(f178,plain,
~ sP2(zero),
inference(backward_demodulation,[],[f47,f177]) ).
fof(f177,plain,
zero = multiplication(antidomain(antidomain(sK0)),sK1),
inference(forward_demodulation,[],[f167,f43]) ).
fof(f43,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] : zero = multiplication(antidomain(X0),X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] : zero = multiplication(antidomain(X3),X3),
file('/export/starexec/sandbox2/tmp/tmp.uaW3KUI2wi/Vampire---4.8_15266',domain1) ).
fof(f167,plain,
multiplication(antidomain(antidomain(sK0)),sK1) = multiplication(antidomain(sK1),sK1),
inference(superposition,[],[f146,f57]) ).
fof(f57,plain,
antidomain(sK1) = addition(antidomain(sK1),antidomain(antidomain(sK0))),
inference(superposition,[],[f46,f37]) ).
fof(f37,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.uaW3KUI2wi/Vampire---4.8_15266',additive_commutativity) ).
fof(f46,plain,
antidomain(sK1) = addition(antidomain(antidomain(sK0)),antidomain(sK1)),
inference(definition_unfolding,[],[f31,f44]) ).
fof(f31,plain,
antidomain(sK1) = addition(domain(sK0),antidomain(sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f146,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(forward_demodulation,[],[f129,f49]) ).
fof(f49,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f37,f40]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.uaW3KUI2wi/Vampire---4.8_15266',additive_identity) ).
fof(f129,plain,
! [X0,X1] : addition(zero,multiplication(X1,X0)) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f33,f43]) ).
fof(f33,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.uaW3KUI2wi/Vampire---4.8_15266',left_distributivity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : KLE089+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
% 0.10/0.30 % Computer : n031.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 19:13:44 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30 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.uaW3KUI2wi/Vampire---4.8_15266
% 0.55/0.70 % (15441)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)
% 0.55/0.70 % (15448)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)
% 0.55/0.70 % (15448)Refutation not found, incomplete strategy% (15448)------------------------------
% 0.55/0.70 % (15448)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.70 % (15448)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70
% 0.55/0.70 % (15448)Memory used [KB]: 975
% 0.55/0.70 % (15448)Time elapsed: 0.001 s
% 0.55/0.70 % (15448)Instructions burned: 2 (million)
% 0.55/0.70 % (15448)------------------------------
% 0.55/0.70 % (15448)------------------------------
% 0.55/0.70 % (15441)Refutation not found, incomplete strategy% (15441)------------------------------
% 0.55/0.70 % (15441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.70 % (15441)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70
% 0.55/0.70 % (15441)Memory used [KB]: 1055
% 0.55/0.70 % (15441)Time elapsed: 0.002 s
% 0.55/0.70 % (15441)Instructions burned: 3 (million)
% 0.55/0.70 % (15441)------------------------------
% 0.55/0.70 % (15441)------------------------------
% 0.55/0.70 % (15443)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.70 % (15442)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)
% 0.55/0.70 % (15445)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)
% 0.55/0.70 % (15444)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)
% 0.55/0.70 % (15446)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)
% 0.55/0.70 % (15447)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)
% 0.55/0.70 % (15445)Refutation not found, incomplete strategy% (15445)------------------------------
% 0.55/0.70 % (15445)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.70 % (15445)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70
% 0.55/0.70 % (15445)Memory used [KB]: 991
% 0.55/0.70 % (15445)Time elapsed: 0.003 s
% 0.55/0.70 % (15445)Instructions burned: 3 (million)
% 0.55/0.70 % (15445)------------------------------
% 0.55/0.70 % (15445)------------------------------
% 0.55/0.70 % (15444)Refutation not found, incomplete strategy% (15444)------------------------------
% 0.55/0.70 % (15444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.70 % (15444)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70
% 0.55/0.70 % (15444)Memory used [KB]: 977
% 0.55/0.70 % (15444)Time elapsed: 0.003 s
% 0.55/0.70 % (15444)Instructions burned: 3 (million)
% 0.55/0.70 % (15444)------------------------------
% 0.55/0.70 % (15444)------------------------------
% 0.55/0.70 % (15451)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)
% 0.55/0.70 % (15452)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)
% 0.55/0.70 % (15452)Refutation not found, incomplete strategy% (15452)------------------------------
% 0.55/0.70 % (15452)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.70 % (15452)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.70
% 0.55/0.70 % (15452)Memory used [KB]: 974
% 0.55/0.70 % (15452)Time elapsed: 0.001 s
% 0.55/0.70 % (15452)Instructions burned: 3 (million)
% 0.55/0.70 % (15452)------------------------------
% 0.55/0.70 % (15452)------------------------------
% 0.55/0.70 % (15457)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)
% 0.55/0.70 % (15451)First to succeed.
% 0.55/0.70 % (15454)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)
% 0.55/0.70 % (15455)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)
% 0.55/0.71 % (15451)Refutation found. Thanks to Tanya!
% 0.55/0.71 % SZS status Theorem for Vampire---4
% 0.55/0.71 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.71 % (15451)------------------------------
% 0.55/0.71 % (15451)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.71 % (15451)Termination reason: Refutation
% 0.55/0.71
% 0.55/0.71 % (15451)Memory used [KB]: 1081
% 0.55/0.71 % (15451)Time elapsed: 0.004 s
% 0.55/0.71 % (15451)Instructions burned: 11 (million)
% 0.55/0.71 % (15451)------------------------------
% 0.55/0.71 % (15451)------------------------------
% 0.55/0.71 % (15411)Success in time 0.393 s
% 0.55/0.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------