TSTP Solution File: KLE119+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE119+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 : n007.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 03:03:17 EDT 2024
% Result : Theorem 0.70s 0.86s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 40 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(trivial_inequality_removal,[],[f140]) ).
fof(f140,plain,
antidomain(antidomain(sK1)) != antidomain(antidomain(sK1)),
inference(superposition,[],[f137,f50]) ).
fof(f50,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',additive_identity) ).
fof(f137,plain,
antidomain(antidomain(sK1)) != addition(antidomain(antidomain(sK1)),zero),
inference(forward_demodulation,[],[f133,f85]) ).
fof(f85,plain,
zero = coantidomain(one),
inference(superposition,[],[f63,f54]) ).
fof(f54,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',multiplicative_left_identity) ).
fof(f63,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] : zero = multiplication(X0,coantidomain(X0)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X3] : zero = multiplication(X3,coantidomain(X3)),
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',codomain1) ).
fof(f133,plain,
antidomain(antidomain(sK1)) != addition(antidomain(antidomain(sK1)),coantidomain(one)),
inference(superposition,[],[f90,f122]) ).
fof(f122,plain,
one = coantidomain(zero),
inference(superposition,[],[f117,f50]) ).
fof(f117,plain,
one = addition(coantidomain(zero),zero),
inference(superposition,[],[f65,f85]) ).
fof(f65,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',codomain3) ).
fof(f90,plain,
antidomain(antidomain(sK1)) != addition(antidomain(antidomain(sK1)),coantidomain(coantidomain(zero))),
inference(superposition,[],[f81,f48]) ).
fof(f48,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.k6yuP4D8Wy/Vampire---4.8_1422',additive_commutativity) ).
fof(f81,plain,
antidomain(antidomain(sK1)) != addition(coantidomain(coantidomain(zero)),antidomain(antidomain(sK1))),
inference(forward_demodulation,[],[f80,f57]) ).
fof(f57,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',right_annihilation) ).
fof(f80,plain,
antidomain(antidomain(sK1)) != addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK0)))),zero))),antidomain(antidomain(sK1))),
inference(definition_unfolding,[],[f73,f62,f75,f62,f62]) ).
fof(f75,plain,
! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
inference(definition_unfolding,[],[f70,f66,f66]) ).
fof(f66,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',codomain4) ).
fof(f70,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',backward_diamond) ).
fof(f62,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f33]) ).
fof(f33,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.k6yuP4D8Wy/Vampire---4.8_1422',domain4) ).
fof(f73,plain,
domain(sK1) != addition(backward_diamond(zero,domain(sK0)),domain(sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
domain(sK1) != addition(backward_diamond(zero,domain(sK0)),domain(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1] : domain(X1) != addition(backward_diamond(zero,domain(X0)),domain(X1))
=> domain(sK1) != addition(backward_diamond(zero,domain(sK0)),domain(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1] : domain(X1) != addition(backward_diamond(zero,domain(X0)),domain(X1)),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ! [X0,X1] : domain(X1) = addition(backward_diamond(zero,domain(X0)),domain(X1)),
inference(rectify,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X3,X4] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X3,X4] : domain(X4) = addition(backward_diamond(zero,domain(X3)),domain(X4)),
file('/export/starexec/sandbox2/tmp/tmp.k6yuP4D8Wy/Vampire---4.8_1422',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE119+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15 % 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
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:32:48 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.k6yuP4D8Wy/Vampire---4.8_1422
% 0.70/0.85 % (1645)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)
% 0.70/0.85 % (1646)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)
% 0.70/0.85 % (1647)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.70/0.85 % (1648)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)
% 0.70/0.85 % (1649)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)
% 0.70/0.85 % (1651)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)
% 0.70/0.85 % (1652)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)
% 0.70/0.85 % (1650)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)
% 0.70/0.85 % (1652)Refutation not found, incomplete strategy% (1652)------------------------------
% 0.70/0.85 % (1652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (1652)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85
% 0.70/0.85 % (1652)Memory used [KB]: 985
% 0.70/0.85 % (1652)Time elapsed: 0.003 s
% 0.70/0.85 % (1652)Instructions burned: 2 (million)
% 0.70/0.85 % (1645)Refutation not found, incomplete strategy% (1645)------------------------------
% 0.70/0.85 % (1645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (1645)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85
% 0.70/0.85 % (1645)Memory used [KB]: 1068
% 0.70/0.85 % (1645)Time elapsed: 0.003 s
% 0.70/0.85 % (1645)Instructions burned: 3 (million)
% 0.70/0.85 % (1645)------------------------------
% 0.70/0.85 % (1645)------------------------------
% 0.70/0.85 % (1652)------------------------------
% 0.70/0.85 % (1652)------------------------------
% 0.70/0.85 % (1649)Refutation not found, incomplete strategy% (1649)------------------------------
% 0.70/0.85 % (1649)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (1648)Refutation not found, incomplete strategy% (1648)------------------------------
% 0.70/0.85 % (1648)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (1648)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85
% 0.70/0.85 % (1648)Memory used [KB]: 987
% 0.70/0.85 % (1648)Time elapsed: 0.003 s
% 0.70/0.85 % (1648)Instructions burned: 3 (million)
% 0.70/0.85 % (1648)------------------------------
% 0.70/0.85 % (1648)------------------------------
% 0.70/0.85 % (1649)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85
% 0.70/0.85 % (1649)Memory used [KB]: 1068
% 0.70/0.85 % (1650)Refutation not found, incomplete strategy% (1650)------------------------------
% 0.70/0.85 % (1650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (1650)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85
% 0.70/0.85 % (1650)Memory used [KB]: 985
% 0.70/0.85 % (1650)Time elapsed: 0.003 s
% 0.70/0.85 % (1650)Instructions burned: 3 (million)
% 0.70/0.85 % (1650)------------------------------
% 0.70/0.85 % (1650)------------------------------
% 0.70/0.85 % (1649)Time elapsed: 0.003 s
% 0.70/0.85 % (1649)Instructions burned: 3 (million)
% 0.70/0.85 % (1649)------------------------------
% 0.70/0.85 % (1649)------------------------------
% 0.70/0.85 % (1651)Refutation not found, incomplete strategy% (1651)------------------------------
% 0.70/0.85 % (1651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.85 % (1651)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.85
% 0.70/0.85 % (1651)Memory used [KB]: 1053
% 0.70/0.85 % (1651)Time elapsed: 0.003 s
% 0.70/0.85 % (1651)Instructions burned: 3 (million)
% 0.70/0.85 % (1651)------------------------------
% 0.70/0.85 % (1651)------------------------------
% 0.70/0.85 % (1646)First to succeed.
% 0.70/0.86 % (1647)Also succeeded, but the first one will report.
% 0.70/0.86 % (1646)Refutation found. Thanks to Tanya!
% 0.70/0.86 % SZS status Theorem for Vampire---4
% 0.70/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.86 % (1646)------------------------------
% 0.70/0.86 % (1646)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.86 % (1646)Termination reason: Refutation
% 0.70/0.86
% 0.70/0.86 % (1646)Memory used [KB]: 1072
% 0.70/0.86 % (1646)Time elapsed: 0.005 s
% 0.70/0.86 % (1646)Instructions burned: 7 (million)
% 0.70/0.86 % (1646)------------------------------
% 0.70/0.86 % (1646)------------------------------
% 0.70/0.86 % (1585)Success in time 0.479 s
% 0.70/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------