TSTP Solution File: KLE007+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE007+3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 07:15:31 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 12 unt; 0 def)
% Number of atoms : 112 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 107 ( 40 ~; 30 |; 24 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 41 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(avatar_sat_refutation,[],[f267,f271,f301]) ).
fof(f301,plain,
spl3_13,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| spl3_13 ),
inference(resolution,[],[f298,f68]) ).
fof(f68,plain,
test(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( one != addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2)))
& test(sK1)
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f36,f44]) ).
fof(f44,plain,
( ? [X0,X1] :
( one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X0)
& test(X1) )
=> ( one != addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2)))
& test(sK1)
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1] :
( one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X0)
& test(X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1] :
( one != addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1)))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(multiplication(addition(X0,c(X0)),X1),multiplication(addition(X0,c(X0)),c(X1))) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(multiplication(addition(X3,c(X3)),X4),multiplication(addition(X3,c(X3)),c(X4))) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(multiplication(addition(X3,c(X3)),X4),multiplication(addition(X3,c(X3)),c(X4))) ),
file('/export/starexec/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282',goals) ).
fof(f298,plain,
( ~ test(sK2)
| spl3_13 ),
inference(resolution,[],[f297,f71]) ).
fof(f71,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,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/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282',test_3) ).
fof(f297,plain,
( ~ complement(sK2,c(sK2))
| spl3_13 ),
inference(trivial_inequality_removal,[],[f294]) ).
fof(f294,plain,
( one != one
| ~ complement(sK2,c(sK2))
| spl3_13 ),
inference(superposition,[],[f190,f151]) ).
fof(f151,plain,
! [X0,X1] :
( addition(X1,X0) = one
| ~ complement(X1,X0) ),
inference(superposition,[],[f61,f46]) ).
fof(f46,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/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282',additive_commutativity) ).
fof(f61,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f41]) ).
fof(f41,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/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282',test_2) ).
fof(f190,plain,
( one != addition(sK2,c(sK2))
| spl3_13 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl3_13
<=> one = addition(sK2,c(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f271,plain,
spl3_18,
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| spl3_18 ),
inference(resolution,[],[f268,f69]) ).
fof(f69,plain,
test(sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f268,plain,
( ~ test(sK1)
| spl3_18 ),
inference(resolution,[],[f248,f71]) ).
fof(f248,plain,
( ~ complement(sK1,c(sK1))
| spl3_18 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl3_18
<=> complement(sK1,c(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f267,plain,
( ~ spl3_18
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f266,f188,f246]) ).
fof(f266,plain,
( one != addition(sK2,c(sK2))
| ~ complement(sK1,c(sK1)) ),
inference(forward_demodulation,[],[f265,f52]) ).
fof(f52,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282',multiplicative_left_identity) ).
fof(f265,plain,
( one != multiplication(one,addition(sK2,c(sK2)))
| ~ complement(sK1,c(sK1)) ),
inference(forward_demodulation,[],[f242,f53]) ).
fof(f53,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282',right_distributivity) ).
fof(f242,plain,
( one != addition(multiplication(one,sK2),multiplication(one,c(sK2)))
| ~ complement(sK1,c(sK1)) ),
inference(superposition,[],[f70,f151]) ).
fof(f70,plain,
one != addition(multiplication(addition(sK1,c(sK1)),sK2),multiplication(addition(sK1,c(sK1)),c(sK2))),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KLE007+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 21:21:53 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ktU8MzlTtl/Vampire---4.8_6282
% 0.60/0.78 % (6390)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)
% 0.60/0.78 % (6393)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)
% 0.60/0.78 % (6391)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)
% 0.60/0.78 % (6392)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (6395)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)
% 0.60/0.78 % (6394)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)
% 0.60/0.78 % (6396)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)
% 0.60/0.78 % (6397)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)
% 0.60/0.78 % (6397)Refutation not found, incomplete strategy% (6397)------------------------------
% 0.60/0.78 % (6397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (6397)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (6397)Memory used [KB]: 984
% 0.60/0.78 % (6397)Time elapsed: 0.002 s
% 0.60/0.78 % (6397)Instructions burned: 2 (million)
% 0.60/0.78 % (6390)Refutation not found, incomplete strategy% (6390)------------------------------
% 0.60/0.78 % (6390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (6395)Refutation not found, incomplete strategy% (6395)------------------------------
% 0.60/0.78 % (6395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (6390)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (6394)Refutation not found, incomplete strategy% (6394)------------------------------
% 0.60/0.78 % (6394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (6390)Memory used [KB]: 1069
% 0.60/0.78 % (6390)Time elapsed: 0.002 s
% 0.60/0.78 % (6394)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (6390)Instructions burned: 4 (million)
% 0.60/0.78 % (6394)Memory used [KB]: 1067
% 0.60/0.78 % (6394)Time elapsed: 0.003 s
% 0.60/0.78 % (6394)Instructions burned: 3 (million)
% 0.60/0.78 % (6395)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (6395)Memory used [KB]: 984
% 0.60/0.78 % (6395)Time elapsed: 0.003 s
% 0.60/0.78 % (6395)Instructions burned: 3 (million)
% 0.60/0.78 % (6397)------------------------------
% 0.60/0.78 % (6397)------------------------------
% 0.60/0.78 % (6390)------------------------------
% 0.60/0.78 % (6390)------------------------------
% 0.60/0.78 % (6394)------------------------------
% 0.60/0.78 % (6394)------------------------------
% 0.60/0.78 % (6395)------------------------------
% 0.60/0.78 % (6395)------------------------------
% 0.60/0.78 % (6393)Refutation not found, incomplete strategy% (6393)------------------------------
% 0.60/0.78 % (6393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (6393)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (6393)Memory used [KB]: 1056
% 0.60/0.78 % (6393)Time elapsed: 0.003 s
% 0.60/0.78 % (6393)Instructions burned: 4 (million)
% 0.60/0.78 % (6393)------------------------------
% 0.60/0.78 % (6393)------------------------------
% 0.60/0.79 % (6391)First to succeed.
% 0.60/0.79 % (6401)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)
% 0.60/0.79 % (6400)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)
% 0.60/0.79 % (6399)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)
% 0.60/0.79 % (6398)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)
% 0.60/0.79 % (6391)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6389"
% 0.60/0.79 % (6402)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)
% 0.60/0.79 % (6391)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (6391)------------------------------
% 0.60/0.79 % (6391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (6391)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (6391)Memory used [KB]: 1123
% 0.60/0.79 % (6391)Time elapsed: 0.007 s
% 0.60/0.79 % (6391)Instructions burned: 10 (million)
% 0.60/0.79 % (6389)Success in time 0.41 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------