TSTP Solution File: KLE021+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE021+4 : 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 03:02:44 EDT 2024
% Result : Theorem 0.67s 0.83s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 13 unt; 0 def)
% Number of atoms : 139 ( 39 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 137 ( 55 ~; 47 |; 18 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 57 ( 53 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[f83,f237,f240,f244,f267]) ).
fof(f267,plain,
( ~ spl3_14
| ~ spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f266,f76,f165,f234]) ).
fof(f234,plain,
( spl3_14
<=> complement(sK2,c(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f165,plain,
( spl3_10
<=> leq(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f76,plain,
( spl3_1
<=> leq(multiplication(addition(sK2,c(sK2)),sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f266,plain,
( ~ leq(sK1,sK1)
| ~ complement(sK2,c(sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f262,f53]) ).
fof(f53,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.n25FwwLchM/Vampire---4.8_25029',multiplicative_left_identity) ).
fof(f262,plain,
( ~ leq(multiplication(one,sK1),sK1)
| ~ complement(sK2,c(sK2))
| spl3_1 ),
inference(superposition,[],[f78,f143]) ).
fof(f143,plain,
! [X0,X1] :
( addition(X1,X0) = one
| ~ complement(X1,X0) ),
inference(superposition,[],[f63,f47]) ).
fof(f47,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.n25FwwLchM/Vampire---4.8_25029',additive_commutativity) ).
fof(f63,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n25FwwLchM/Vampire---4.8_25029',test_2) ).
fof(f78,plain,
( ~ leq(multiplication(addition(sK2,c(sK2)),sK1),sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f244,plain,
spl3_14,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl3_14 ),
inference(resolution,[],[f241,f70]) ).
fof(f70,plain,
test(sK2),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( ~ leq(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),sK1)
| ~ leq(sK1,addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))) )
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f37,f45]) ).
fof(f45,plain,
( ? [X0,X1] :
( ( ~ leq(addition(multiplication(X1,X0),multiplication(c(X1),X0)),X0)
| ~ leq(X0,addition(multiplication(X1,X0),multiplication(c(X1),X0))) )
& test(X1) )
=> ( ( ~ leq(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),sK1)
| ~ leq(sK1,addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))) )
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1] :
( ( ~ leq(addition(multiplication(X1,X0),multiplication(c(X1),X0)),X0)
| ~ leq(X0,addition(multiplication(X1,X0),multiplication(c(X1),X0))) )
& test(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X1] :
( test(X1)
=> ( leq(addition(multiplication(X1,X0),multiplication(c(X1),X0)),X0)
& leq(X0,addition(multiplication(X1,X0),multiplication(c(X1),X0))) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( test(X4)
=> ( leq(addition(multiplication(X4,X3),multiplication(c(X4),X3)),X3)
& leq(X3,addition(multiplication(X4,X3),multiplication(c(X4),X3))) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( test(X4)
=> ( leq(addition(multiplication(X4,X3),multiplication(c(X4),X3)),X3)
& leq(X3,addition(multiplication(X4,X3),multiplication(c(X4),X3))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n25FwwLchM/Vampire---4.8_25029',goals) ).
fof(f241,plain,
( ~ test(sK2)
| spl3_14 ),
inference(resolution,[],[f236,f72]) ).
fof(f72,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n25FwwLchM/Vampire---4.8_25029',test_3) ).
fof(f236,plain,
( ~ complement(sK2,c(sK2))
| spl3_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f240,plain,
spl3_10,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| spl3_10 ),
inference(resolution,[],[f167,f103]) ).
fof(f103,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f98]) ).
fof(f98,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f58,f50]) ).
fof(f50,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.n25FwwLchM/Vampire---4.8_25029',additive_idempotence) ).
fof(f58,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.n25FwwLchM/Vampire---4.8_25029',order) ).
fof(f167,plain,
( ~ leq(sK1,sK1)
| spl3_10 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f237,plain,
( ~ spl3_14
| ~ spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f232,f80,f165,f234]) ).
fof(f80,plain,
( spl3_2
<=> leq(sK1,multiplication(addition(sK2,c(sK2)),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f232,plain,
( ~ leq(sK1,sK1)
| ~ complement(sK2,c(sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f229,f53]) ).
fof(f229,plain,
( ~ leq(sK1,multiplication(one,sK1))
| ~ complement(sK2,c(sK2))
| spl3_2 ),
inference(superposition,[],[f82,f143]) ).
fof(f82,plain,
( ~ leq(sK1,multiplication(addition(sK2,c(sK2)),sK1))
| spl3_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f74,f80,f76]) ).
fof(f74,plain,
( ~ leq(sK1,multiplication(addition(sK2,c(sK2)),sK1))
| ~ leq(multiplication(addition(sK2,c(sK2)),sK1),sK1) ),
inference(forward_demodulation,[],[f73,f55]) ).
fof(f55,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.n25FwwLchM/Vampire---4.8_25029',left_distributivity) ).
fof(f73,plain,
( ~ leq(multiplication(addition(sK2,c(sK2)),sK1),sK1)
| ~ leq(sK1,addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))) ),
inference(forward_demodulation,[],[f71,f55]) ).
fof(f71,plain,
( ~ leq(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),sK1)
| ~ leq(sK1,addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))) ),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % 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
% 0.14/0.35 % Computer : n007.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 18:31:03 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.n25FwwLchM/Vampire---4.8_25029
% 0.62/0.82 % (25243)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)
% 0.62/0.82 % (25247)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)
% 0.62/0.82 % (25244)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (25245)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)
% 0.62/0.82 % (25246)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)
% 0.67/0.82 % (25242)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)
% 0.67/0.82 % (25248)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)
% 0.67/0.82 % (25249)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)
% 0.67/0.82 % (25247)Refutation not found, incomplete strategy% (25247)------------------------------
% 0.67/0.82 % (25247)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82 % (25247)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82
% 0.67/0.82 % (25247)Memory used [KB]: 985
% 0.67/0.82 % (25247)Time elapsed: 0.003 s
% 0.67/0.82 % (25247)Instructions burned: 3 (million)
% 0.67/0.82 % (25247)------------------------------
% 0.67/0.82 % (25247)------------------------------
% 0.67/0.82 % (25249)Refutation not found, incomplete strategy% (25249)------------------------------
% 0.67/0.82 % (25249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82 % (25249)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82
% 0.67/0.82 % (25249)Memory used [KB]: 983
% 0.67/0.82 % (25249)Time elapsed: 0.003 s
% 0.67/0.82 % (25246)Refutation not found, incomplete strategy% (25246)------------------------------
% 0.67/0.82 % (25246)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82 % (25246)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82
% 0.67/0.82 % (25246)Memory used [KB]: 1054
% 0.67/0.82 % (25246)Time elapsed: 0.003 s
% 0.67/0.82 % (25246)Instructions burned: 3 (million)
% 0.67/0.82 % (25246)------------------------------
% 0.67/0.82 % (25246)------------------------------
% 0.67/0.82 % (25249)Instructions burned: 2 (million)
% 0.67/0.82 % (25249)------------------------------
% 0.67/0.82 % (25249)------------------------------
% 0.67/0.82 % (25245)Refutation not found, incomplete strategy% (25245)------------------------------
% 0.67/0.82 % (25245)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82 % (25245)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82 % (25242)Refutation not found, incomplete strategy% (25242)------------------------------
% 0.67/0.82 % (25242)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.82 % (25242)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82
% 0.67/0.82 % (25242)Memory used [KB]: 1067
% 0.67/0.82 % (25242)Time elapsed: 0.004 s
% 0.67/0.82 % (25242)Instructions burned: 3 (million)
% 0.67/0.82 % (25242)------------------------------
% 0.67/0.82 % (25242)------------------------------
% 0.67/0.82
% 0.67/0.82 % (25245)Memory used [KB]: 1054
% 0.67/0.82 % (25245)Time elapsed: 0.004 s
% 0.67/0.82 % (25245)Instructions burned: 3 (million)
% 0.67/0.82 % (25245)------------------------------
% 0.67/0.82 % (25245)------------------------------
% 0.67/0.82 % (25243)First to succeed.
% 0.67/0.82 % (25255)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)
% 0.67/0.82 % (25254)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)
% 0.67/0.82 % (25253)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)
% 0.67/0.82 % (25256)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)
% 0.67/0.82 % (25257)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)
% 0.67/0.83 % (25243)Refutation found. Thanks to Tanya!
% 0.67/0.83 % SZS status Theorem for Vampire---4
% 0.67/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.83 % (25243)------------------------------
% 0.67/0.83 % (25243)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.83 % (25243)Termination reason: Refutation
% 0.67/0.83
% 0.67/0.83 % (25243)Memory used [KB]: 1114
% 0.67/0.83 % (25243)Time elapsed: 0.008 s
% 0.67/0.83 % (25243)Instructions burned: 10 (million)
% 0.67/0.83 % (25243)------------------------------
% 0.67/0.83 % (25243)------------------------------
% 0.67/0.83 % (25195)Success in time 0.46 s
% 0.67/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------