TSTP Solution File: ALG428-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG428-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n009.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 04:14:31 EDT 2024
% Result : Unsatisfiable 0.67s 0.86s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 143 ( 5 equ)
% Maximal formula atoms : 2 ( 5 avg)
% Number of connectives : 41 ( 21 ~; 17 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 96 ( 96 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 24 ( 23 !; 0 ?; 23 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_54,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f1405,plain,
$false,
inference(avatar_sat_refutation,[],[f1039,f1040,f1404]) ).
tff(f1404,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f1403]) ).
tff(f1403,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f1395,f1132]) ).
tff(f1132,plain,
~ c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(resolution,[],[f966,f1021]) ).
tff(f1021,plain,
~ sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)),
inference(equality_proxy_replacement,[],[f791,f892]) ).
tff(f892,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f791,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_CHAINED_0) ).
tff(f966,plain,
! [X6: $i] :
( sQ0_eqProxy($i,c_HOL_Ozero__class_Ozero(tc_nat),X6)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(equality_proxy_replacement,[],[f34,f892]) ).
tff(f34,axiom,
! [X6: $i] :
( ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ( c_HOL_Ozero__class_Ozero(tc_nat) = X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_le__0__eq_0) ).
tff(f1395,plain,
( c_lessequals(c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| ~ spl1_1 ),
inference(resolution,[],[f1387,f1041]) ).
tff(f1041,plain,
( ! [X0: $i] : ~ sQ0_eqProxy($i,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),c_Suc(X0))
| ~ spl1_1 ),
inference(resolution,[],[f1030,f1033]) ).
tff(f1033,plain,
( ! [X1: $i] : ~ sQ0_eqProxy($i,c_Suc(X1),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f1032]) ).
tff(f1032,plain,
( spl1_1
<=> ! [X1] : ~ sQ0_eqProxy($i,c_Suc(X1),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f1030,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f892]) ).
tff(f1387,plain,
! [X6: $i] :
( sQ0_eqProxy($i,X6,c_Suc(c_HOL_Ominus__class_Ominus(X6,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)))
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
inference(forward_literal_rewriting,[],[f1386,f1030]) ).
tff(f1386,plain,
! [X6: $i] :
( c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| sQ0_eqProxy($i,c_Suc(c_HOL_Ominus__class_Ominus(X6,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),X6) ),
inference(forward_literal_rewriting,[],[f1019,f1070]) ).
tff(f1070,plain,
! [X6: $i,X5: $i] :
( c_HOL_Oord__class_Oless(X5,X6,tc_nat)
| c_lessequals(X6,X5,tc_nat) ),
inference(forward_literal_rewriting,[],[f759,f328]) ).
tff(f328,axiom,
! [X6: $i,X5: $i] :
( ~ c_HOL_Oord__class_Oless(X5,c_Suc(X6),tc_nat)
| c_lessequals(X5,X6,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_less__Suc__eq__le_0) ).
tff(f759,axiom,
! [X6: $i,X5: $i] :
( c_HOL_Oord__class_Oless(X5,X6,tc_nat)
| c_HOL_Oord__class_Oless(X6,c_Suc(X5),tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_not__less__eq_0) ).
tff(f1019,plain,
! [X6: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X6,tc_nat)
| sQ0_eqProxy($i,c_Suc(c_HOL_Ominus__class_Ominus(X6,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),X6) ),
inference(equality_proxy_replacement,[],[f78,f892]) ).
tff(f78,axiom,
! [X6: $i] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X6,tc_nat)
| ( c_Suc(c_HOL_Ominus__class_Ominus(X6,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_Suc__pred_0) ).
tff(f1040,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f792,f1035]) ).
tff(f1035,plain,
( spl1_2
<=> v_thesis____ ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f792,axiom,
~ v_thesis____,
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_conjecture_0) ).
tff(f1039,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f894,f1035,f1032]) ).
tff(f894,plain,
! [X6: $i] :
( v_thesis____
| ~ sQ0_eqProxy($i,c_Suc(X6),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)) ),
inference(equality_proxy_replacement,[],[f773,f892]) ).
tff(f773,axiom,
! [X6: $i] :
( v_thesis____
| ( c_Suc(X6) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mHUkUQ9BD8/Vampire---4.8_9780',cls_that_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG428-1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.12 % 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
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 19:56:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33 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.mHUkUQ9BD8/Vampire---4.8_9780
% 0.67/0.85 % (9900)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 (2994ds/51Mi)
% 0.67/0.85 % (9902)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.67/0.85 % (9901)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.67/0.85 % (9899)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 (2994ds/34Mi)
% 0.67/0.85 % (9904)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.67/0.85 % (9903)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 (2994ds/34Mi)
% 0.67/0.85 % (9905)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 (2994ds/83Mi)
% 0.67/0.85 % (9906)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 (2994ds/56Mi)
% 0.67/0.85 % (9906)Refutation not found, incomplete strategy% (9906)------------------------------
% 0.67/0.85 % (9906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (9906)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85
% 0.67/0.85 % (9906)Memory used [KB]: 1670
% 0.67/0.85 % (9906)Time elapsed: 0.009 s
% 0.67/0.85 % (9906)Instructions burned: 16 (million)
% 0.67/0.85 % (9906)------------------------------
% 0.67/0.85 % (9906)------------------------------
% 0.67/0.85 % (9904)Refutation not found, incomplete strategy% (9904)------------------------------
% 0.67/0.85 % (9904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85 % (9904)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85
% 0.67/0.85 % (9904)Memory used [KB]: 1681
% 0.67/0.85 % (9904)Time elapsed: 0.011 s
% 0.67/0.85 % (9904)Instructions burned: 18 (million)
% 0.67/0.86 % (9904)------------------------------
% 0.67/0.86 % (9904)------------------------------
% 0.67/0.86 % (9907)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 (2994ds/55Mi)
% 0.67/0.86 % (9908)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 (2994ds/50Mi)
% 0.67/0.86 % (9903)Instruction limit reached!
% 0.67/0.86 % (9903)------------------------------
% 0.67/0.86 % (9903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.86 % (9903)Termination reason: Unknown
% 0.67/0.86 % (9903)Termination phase: Saturation
% 0.67/0.86
% 0.67/0.86 % (9903)Memory used [KB]: 2109
% 0.67/0.86 % (9903)Time elapsed: 0.017 s
% 0.67/0.86 % (9903)Instructions burned: 34 (million)
% 0.67/0.86 % (9903)------------------------------
% 0.67/0.86 % (9903)------------------------------
% 0.67/0.86 % (9899)First to succeed.
% 0.67/0.86 % (9899)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9892"
% 0.67/0.86 % (9902)Instruction limit reached!
% 0.67/0.86 % (9902)------------------------------
% 0.67/0.86 % (9902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.86 % (9902)Termination reason: Unknown
% 0.67/0.86 % (9902)Termination phase: Saturation
% 0.67/0.86
% 0.67/0.86 % (9902)Memory used [KB]: 1833
% 0.67/0.86 % (9902)Time elapsed: 0.019 s
% 0.67/0.86 % (9902)Instructions burned: 33 (million)
% 0.67/0.86 % (9902)------------------------------
% 0.67/0.86 % (9902)------------------------------
% 0.67/0.86 % (9899)Refutation found. Thanks to Tanya!
% 0.67/0.86 % SZS status Unsatisfiable for Vampire---4
% 0.67/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.86 % (9899)------------------------------
% 0.67/0.86 % (9899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.86 % (9899)Termination reason: Refutation
% 0.67/0.86
% 0.67/0.86 % (9899)Memory used [KB]: 1728
% 0.67/0.86 % (9899)Time elapsed: 0.018 s
% 0.67/0.86 % (9899)Instructions burned: 30 (million)
% 0.67/0.86 % (9892)Success in time 0.526 s
% 0.67/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------