TSTP Solution File: KLE021+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KLE021+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 : n020.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 07:15:39 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 10 unt; 0 def)
% Number of atoms : 111 ( 48 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 125 ( 57 ~; 40 |; 15 &)
% ( 7 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 54 ( 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f313,plain,
$false,
inference(avatar_sat_refutation,[],[f227,f229,f312]) ).
fof(f312,plain,
( ~ spl3_15
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f311,f225,f204]) ).
fof(f204,plain,
( spl3_15
<=> test(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f225,plain,
( spl3_20
<=> ! [X0] :
( sK1 != multiplication(addition(sK2,X0),sK1)
| ~ complement(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f311,plain,
( ~ test(sK2)
| ~ spl3_20 ),
inference(resolution,[],[f310,f69]) ).
fof(f69,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,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.gQhS49vbiL/Vampire---4.8_895',test_3) ).
fof(f310,plain,
( ! [X0] : ~ complement(sK2,X0)
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f309]) ).
fof(f309,plain,
( ! [X0] :
( sK1 != sK1
| ~ complement(sK2,X0) )
| ~ spl3_20 ),
inference(forward_demodulation,[],[f308,f51]) ).
fof(f51,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.gQhS49vbiL/Vampire---4.8_895',multiplicative_left_identity) ).
fof(f308,plain,
( ! [X0] :
( sK1 != multiplication(one,sK1)
| ~ complement(sK2,X0) )
| ~ spl3_20 ),
inference(duplicate_literal_removal,[],[f302]) ).
fof(f302,plain,
( ! [X0] :
( sK1 != multiplication(one,sK1)
| ~ complement(sK2,X0)
| ~ complement(sK2,X0) )
| ~ spl3_20 ),
inference(superposition,[],[f291,f60]) ).
fof(f60,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f40]) ).
fof(f40,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.gQhS49vbiL/Vampire---4.8_895',test_2) ).
fof(f291,plain,
( ! [X0] :
( sK1 != multiplication(addition(X0,sK2),sK1)
| ~ complement(sK2,X0) )
| ~ spl3_20 ),
inference(superposition,[],[f226,f45]) ).
fof(f45,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.gQhS49vbiL/Vampire---4.8_895',additive_commutativity) ).
fof(f226,plain,
( ! [X0] :
( sK1 != multiplication(addition(sK2,X0),sK1)
| ~ complement(sK2,X0) )
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,plain,
spl3_15,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl3_15 ),
inference(resolution,[],[f206,f67]) ).
fof(f67,plain,
test(sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( sK1 != addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f35,f43]) ).
fof(f43,plain,
( ? [X0,X1] :
( addition(multiplication(X1,X0),multiplication(c(X1),X0)) != X0
& test(X1) )
=> ( sK1 != addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1))
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
( addition(multiplication(X1,X0),multiplication(c(X1),X0)) != X0
& test(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X0,X1] :
( test(X1)
=> addition(multiplication(X1,X0),multiplication(c(X1),X0)) = X0 ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X3,X4] :
( test(X4)
=> addition(multiplication(X4,X3),multiplication(c(X4),X3)) = X3 ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X3,X4] :
( test(X4)
=> addition(multiplication(X4,X3),multiplication(c(X4),X3)) = X3 ),
file('/export/starexec/sandbox/tmp/tmp.gQhS49vbiL/Vampire---4.8_895',goals) ).
fof(f206,plain,
( ~ test(sK2)
| spl3_15 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f227,plain,
( ~ spl3_15
| spl3_20 ),
inference(avatar_split_clause,[],[f223,f225,f204]) ).
fof(f223,plain,
! [X0] :
( sK1 != multiplication(addition(sK2,X0),sK1)
| ~ complement(sK2,X0)
| ~ test(sK2) ),
inference(forward_demodulation,[],[f196,f53]) ).
fof(f53,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/sandbox/tmp/tmp.gQhS49vbiL/Vampire---4.8_895',left_distributivity) ).
fof(f196,plain,
! [X0] :
( sK1 != addition(multiplication(sK2,sK1),multiplication(X0,sK1))
| ~ complement(sK2,X0)
| ~ test(sK2) ),
inference(superposition,[],[f68,f63]) ).
fof(f63,plain,
! [X0,X1] :
( c(X0) = X1
| ~ complement(X0,X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f68,plain,
sK1 != addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE021+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % 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 : n020.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 21:20:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.gQhS49vbiL/Vampire---4.8_895
% 0.57/0.74 % (1037)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)
% 0.57/0.74 % (1037)Refutation not found, incomplete strategy% (1037)------------------------------
% 0.57/0.74 % (1037)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (1037)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (1037)Memory used [KB]: 983
% 0.57/0.74 % (1037)Time elapsed: 0.002 s
% 0.57/0.74 % (1037)Instructions burned: 2 (million)
% 0.57/0.74 % (1037)------------------------------
% 0.57/0.74 % (1037)------------------------------
% 0.57/0.74 % (1021)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)
% 0.57/0.74 % (1025)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (1029)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)
% 0.57/0.74 % (1023)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)
% 0.57/0.74 % (1034)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)
% 0.57/0.74 % (1026)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)
% 0.57/0.74 % (1036)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)
% 0.57/0.74 % (1029)Refutation not found, incomplete strategy% (1029)------------------------------
% 0.57/0.74 % (1029)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (1034)Refutation not found, incomplete strategy% (1034)------------------------------
% 0.57/0.74 % (1034)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (1034)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (1034)Memory used [KB]: 984
% 0.57/0.74 % (1034)Time elapsed: 0.003 s
% 0.57/0.74 % (1034)Instructions burned: 3 (million)
% 0.57/0.74 % (1021)Refutation not found, incomplete strategy% (1021)------------------------------
% 0.57/0.74 % (1021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (1021)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (1021)Memory used [KB]: 1064
% 0.57/0.74 % (1021)Time elapsed: 0.003 s
% 0.57/0.74 % (1021)Instructions burned: 3 (million)
% 0.57/0.74 % (1029)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (1029)Memory used [KB]: 1065
% 0.57/0.74 % (1029)Time elapsed: 0.003 s
% 0.57/0.74 % (1029)Instructions burned: 3 (million)
% 0.57/0.74 % (1034)------------------------------
% 0.57/0.74 % (1034)------------------------------
% 0.57/0.74 % (1026)Refutation not found, incomplete strategy% (1026)------------------------------
% 0.57/0.74 % (1026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (1021)------------------------------
% 0.57/0.74 % (1021)------------------------------
% 0.57/0.74 % (1026)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (1026)Memory used [KB]: 1052
% 0.57/0.74 % (1026)Time elapsed: 0.003 s
% 0.57/0.74 % (1029)------------------------------
% 0.57/0.74 % (1029)------------------------------
% 0.57/0.74 % (1026)Instructions burned: 3 (million)
% 0.57/0.74 % (1038)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)
% 0.57/0.75 % (1026)------------------------------
% 0.57/0.75 % (1026)------------------------------
% 0.57/0.75 % (1040)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)
% 0.57/0.75 % (1023)First to succeed.
% 0.57/0.75 % (1041)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)
% 0.57/0.75 % (1042)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)
% 0.57/0.75 % (1043)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)
% 0.57/0.75 % (1023)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1019"
% 0.57/0.75 % (1023)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (1023)------------------------------
% 0.57/0.75 % (1023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (1023)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (1023)Memory used [KB]: 1126
% 0.57/0.75 % (1023)Time elapsed: 0.008 s
% 0.57/0.75 % (1023)Instructions burned: 10 (million)
% 0.57/0.75 % (1019)Success in time 0.382 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------