TSTP Solution File: KLE129+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE129+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 : n006.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 03:03:21 EDT 2024
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 34 ( 15 ~; 8 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,plain,
$false,
inference(subsumption_resolution,[],[f63,f42]) ).
fof(f42,plain,
zero != divergence(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( zero != divergence(sK0)
& ! [X1] :
( zero = domain(X1)
| forward_diamond(sK0,domain(X1)) != addition(domain(X1),forward_diamond(sK0,domain(X1))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f39,plain,
( ? [X0] :
( zero != divergence(X0)
& ! [X1] :
( zero = domain(X1)
| forward_diamond(X0,domain(X1)) != addition(domain(X1),forward_diamond(X0,domain(X1))) ) )
=> ( zero != divergence(sK0)
& ! [X1] :
( zero = domain(X1)
| forward_diamond(sK0,domain(X1)) != addition(domain(X1),forward_diamond(sK0,domain(X1))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
( zero != divergence(X0)
& ! [X1] :
( zero = domain(X1)
| forward_diamond(X0,domain(X1)) != addition(domain(X1),forward_diamond(X0,domain(X1))) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0] :
( ! [X1] :
( forward_diamond(X0,domain(X1)) = addition(domain(X1),forward_diamond(X0,domain(X1)))
=> zero = domain(X1) )
=> zero = divergence(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X3] :
( ! [X4] :
( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
=> zero = domain(X4) )
=> zero = divergence(X3) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X3] :
( ! [X4] :
( forward_diamond(X3,domain(X4)) = addition(domain(X4),forward_diamond(X3,domain(X4)))
=> zero = domain(X4) )
=> zero = divergence(X3) ),
file('/export/starexec/sandbox2/tmp/tmp.XaVXdooPx0/Vampire---4.8_15206',goals) ).
fof(f63,plain,
zero = divergence(sK0),
inference(subsumption_resolution,[],[f62,f45]) ).
fof(f45,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.XaVXdooPx0/Vampire---4.8_15206',additive_idempotence) ).
fof(f62,plain,
( divergence(sK0) != addition(divergence(sK0),divergence(sK0))
| zero = divergence(sK0) ),
inference(superposition,[],[f61,f59]) ).
fof(f59,plain,
! [X0] : divergence(X0) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(divergence(X0)))))),
inference(definition_unfolding,[],[f54,f57]) ).
fof(f57,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f53,f52,f52]) ).
fof(f52,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3] : antidomain(antidomain(X3)) = domain(X3),
file('/export/starexec/sandbox2/tmp/tmp.XaVXdooPx0/Vampire---4.8_15206',domain4) ).
fof(f53,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
file('/export/starexec/sandbox2/tmp/tmp.XaVXdooPx0/Vampire---4.8_15206',forward_diamond) ).
fof(f54,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] : divergence(X0) = forward_diamond(X0,divergence(X0)),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X3] : divergence(X3) = forward_diamond(X3,divergence(X3)),
file('/export/starexec/sandbox2/tmp/tmp.XaVXdooPx0/Vampire---4.8_15206',divergence1) ).
fof(f61,plain,
! [X0] :
( antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))) != addition(divergence(X0),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(divergence(X0)))))))
| zero = divergence(X0) ),
inference(superposition,[],[f58,f59]) ).
fof(f58,plain,
! [X1] :
( antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1))))))) != addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(X1))))))))
| zero = antidomain(antidomain(X1)) ),
inference(definition_unfolding,[],[f41,f52,f57,f52,f52,f57,f52]) ).
fof(f41,plain,
! [X1] :
( zero = domain(X1)
| forward_diamond(sK0,domain(X1)) != addition(domain(X1),forward_diamond(sK0,domain(X1))) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : KLE129+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % 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
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 18:34:35 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.XaVXdooPx0/Vampire---4.8_15206
% 0.55/0.77 % (15406)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)
% 0.55/0.77 % (15409)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)
% 0.55/0.77 % (15409)Refutation not found, incomplete strategy% (15409)------------------------------
% 0.55/0.77 % (15409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (15409)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (15409)Memory used [KB]: 1061
% 0.55/0.77 % (15409)Time elapsed: 0.002 s
% 0.55/0.77 % (15409)Instructions burned: 3 (million)
% 0.55/0.77 % (15409)------------------------------
% 0.55/0.77 % (15409)------------------------------
% 0.55/0.77 % (15406)Refutation not found, incomplete strategy% (15406)------------------------------
% 0.55/0.77 % (15406)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (15406)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (15406)Memory used [KB]: 1082
% 0.55/0.77 % (15406)Time elapsed: 0.002 s
% 0.55/0.77 % (15406)Instructions burned: 3 (million)
% 0.55/0.77 % (15406)------------------------------
% 0.55/0.77 % (15406)------------------------------
% 0.55/0.77 % (15402)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)
% 0.55/0.77 % (15403)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)
% 0.55/0.77 % (15404)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.77 % (15405)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)
% 0.55/0.77 % (15407)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)
% 0.55/0.77 % (15408)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)
% 0.55/0.77 % (15402)Refutation not found, incomplete strategy% (15402)------------------------------
% 0.55/0.77 % (15402)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (15405)Refutation not found, incomplete strategy% (15405)------------------------------
% 0.55/0.77 % (15405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (15405)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (15405)Memory used [KB]: 1064
% 0.55/0.77 % (15405)Time elapsed: 0.003 s
% 0.55/0.77 % (15405)Instructions burned: 3 (million)
% 0.55/0.77 % (15405)------------------------------
% 0.55/0.77 % (15405)------------------------------
% 0.55/0.77 % (15402)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77
% 0.55/0.77 % (15402)Memory used [KB]: 1077
% 0.55/0.77 % (15407)First to succeed.
% 0.55/0.77 % (15402)Time elapsed: 0.003 s
% 0.55/0.77 % (15402)Instructions burned: 4 (million)
% 0.55/0.77 % (15402)------------------------------
% 0.55/0.77 % (15402)------------------------------
% 0.55/0.77 % (15413)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)
% 0.55/0.77 % (15414)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)
% 0.55/0.77 % (15408)Also succeeded, but the first one will report.
% 0.55/0.77 % (15407)Refutation found. Thanks to Tanya!
% 0.55/0.77 % SZS status Theorem for Vampire---4
% 0.55/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.77 % (15407)------------------------------
% 0.55/0.77 % (15407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77 % (15407)Termination reason: Refutation
% 0.55/0.77
% 0.55/0.77 % (15407)Memory used [KB]: 1073
% 0.55/0.77 % (15407)Time elapsed: 0.004 s
% 0.55/0.77 % (15407)Instructions burned: 4 (million)
% 0.55/0.77 % (15407)------------------------------
% 0.55/0.77 % (15407)------------------------------
% 0.55/0.77 % (15351)Success in time 0.401 s
% 0.55/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------