%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : COM305_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:58:18 AM UTC 2026
% Result : Theorem 16.43s 4.65s
% Output : Refutation 17.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 170
% Syntax : Number of formulae : 342 ( 139 unt; 0 typ; 0 def)
% Number of atoms : 1294 ( 968 equ; 0 cnn)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 3868 ( 269 ~; 193 |; 595 &;2647 @)
% ( 13 <=>; 151 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 58 ( 56 usr; 10 con; 0-3 aty)
% Number of variables : 1395 ( 0 ^; 865 !; 530 ?;1395 :)
% Comments :
%------------------------------------------------------------------------------
thf(vRow_type,type,
vRow: $tType ).
thf(vPred_type,type,
vPred: $tType ).
thf(vName_type,type,
vName: $tType ).
thf(vAttrL_type,type,
vAttrL: $tType ).
thf(vRawTable_type,type,
vRawTable: $tType ).
thf(vOptRawTable_type,type,
vOptRawTable: $tType ).
thf(vFType_type,type,
vFType: $tType ).
thf(vOptTType_type,type,
vOptTType: $tType ).
thf(vTTContext_type,type,
vTTContext: $tType ).
thf(vQuery_type,type,
vQuery: $tType ).
thf(vVal_type,type,
vVal: $tType ).
thf(vOptTable_type,type,
vOptTable: $tType ).
thf(vTStore_type,type,
vTStore: $tType ).
thf(vExp_type,type,
vExp: $tType ).
thf(vTable_type,type,
vTable: $tType ).
thf(vTType_type,type,
vTType: $tType ).
thf(vSelect_type,type,
vSelect: $tType ).
thf(vOptFType_type,type,
vOptFType: $tType ).
thf(vOptVal_type,type,
vOptVal: $tType ).
thf(vOptQuery_type,type,
vOptQuery: $tType ).
thf(vrempty_decl,type,
vrempty: vRow ).
thf(vconstant_decl,type,
vconstant: vVal > vExp ).
thf(vlookup_decl,type,
vlookup: vName > vExp ).
thf(vacons_decl,type,
vacons: vName > vAttrL > vAttrL ).
thf(vsomeFType_decl,type,
vsomeFType: vFType > vOptFType ).
thf(vrcons_decl,type,
vrcons: vVal > vRow > vRow ).
thf(vttcons_decl,type,
vttcons: vName > vFType > vTType > vTType ).
thf(vtempty_decl,type,
vtempty: vRawTable ).
thf(vaempty_decl,type,
vaempty: vAttrL ).
thf(vnoRawTable_decl,type,
vnoRawTable: vOptRawTable ).
thf(vtcons_decl,type,
vtcons: vRow > vRawTable > vRawTable ).
thf(vsomeTType_decl,type,
vsomeTType: vTType > vOptTType ).
thf(vsomeVal_decl,type,
vsomeVal: vVal > vOptVal ).
thf(vptrue_decl,type,
vptrue: vPred ).
thf(vsomeRawTable_decl,type,
vsomeRawTable: vRawTable > vOptRawTable ).
thf(vnot_decl,type,
vnot: vPred > vPred ).
thf(vnoVal_decl,type,
vnoVal: vOptVal ).
thf(vnoTType_decl,type,
vnoTType: vOptTType ).
thf(vttempty_decl,type,
vttempty: vTType ).
thf(vnoFType_decl,type,
vnoFType: vOptFType ).
thf(vlt_decl,type,
vlt: vExp > vExp > vPred ).
thf(vgt_decl,type,
vgt: vExp > vExp > vPred ).
thf(veq_decl,type,
veq: vExp > vExp > vPred ).
thf(vand_decl,type,
vand: vPred > vPred > vPred ).
thf(vtable_decl,type,
vtable: vAttrL > vRawTable > vTable ).
thf(vmatchingAttrL_decl,type,
vmatchingAttrL: vTType > vAttrL > $o ).
thf(visSomeTType_decl,type,
visSomeTType: vOptTType > $o ).
thf(visSomeRawTable_decl,type,
visSomeRawTable: vOptRawTable > $o ).
thf(vprojectTypeAttrL_decl,type,
vprojectTypeAttrL: vAttrL > vTType > vOptTType ).
thf(vsameLength_decl,type,
vsameLength: vRawTable > vRawTable > $o ).
thf(vfilterSingleRow_decl,type,
vfilterSingleRow: vPred > vAttrL > vRow > $o ).
thf(vprojectFirstRaw_decl,type,
vprojectFirstRaw: vRawTable > vRawTable ).
thf(vwelltypedRawtable_decl,type,
vwelltypedRawtable: vTType > vRawTable > $o ).
thf(vrawUnion_decl,type,
vrawUnion: vRawTable > vRawTable > vRawTable ).
thf(vwelltypedtable_decl,type,
vwelltypedtable: vTType > vTable > $o ).
thf(vattachColToFrontRaw_decl,type,
vattachColToFrontRaw: vRawTable > vRawTable > vRawTable ).
thf(vprojectEmptyCol_decl,type,
vprojectEmptyCol: vRawTable > vRawTable ).
thf(visSomeFType_decl,type,
visSomeFType: vOptFType > $o ).
thf(vfilterTable_decl,type,
vfilterTable: vTable > vPred > vTable ).
thf(vtcheckPred_decl,type,
vtcheckPred: vPred > vTType > $o ).
thf(vevalExpRow_decl,type,
vevalExpRow: vExp > vAttrL > vRow > vOptVal ).
thf(vrowIn_decl,type,
vrowIn: vRow > vRawTable > $o ).
thf(vfindCol_decl,type,
vfindCol: vName > vAttrL > vRawTable > vOptRawTable ).
thf(vfieldType_decl,type,
vfieldType: vVal > vFType ).
thf(vrawIntersection_decl,type,
vrawIntersection: vRawTable > vRawTable > vRawTable ).
thf(vtypeOfExp_decl,type,
vtypeOfExp: vExp > vTType > vOptFType ).
thf(vdropFirstColRaw_decl,type,
vdropFirstColRaw: vRawTable > vRawTable ).
thf(vfindColType_decl,type,
vfindColType: vName > vTType > vOptFType ).
thf(vfilterRows_decl,type,
vfilterRows: vRawTable > vAttrL > vPred > vRawTable ).
thf(vwelltypedRow_decl,type,
vwelltypedRow: vTType > vRow > $o ).
thf(vprojectCols_decl,type,
vprojectCols: vAttrL > vAttrL > vRawTable > vOptRawTable ).
thf(vrawDifference_decl,type,
vrawDifference: vRawTable > vRawTable > vRawTable ).
thf(vappend_decl,type,
vappend: vAttrL > vAttrL > vAttrL ).
thf(vgetFType_decl,type,
vgetFType: vOptFType > vFType ).
thf(vgetTType_decl,type,
vgetTType: vOptTType > vTType ).
thf(vgetRawTable_decl,type,
vgetRawTable: vOptRawTable > vRawTable ).
thf(102,axiom,
! [A: vVal,B: vVal] :
( ( ( A @ vconstant )
= ( B @ vconstant ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-constant') ).
thf(809,plain,
! [A: vVal,B: vVal] :
( ( ( A @ vconstant )
= ( B @ vconstant ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(90,axiom,
! [A: vOptRawTable] :
( ? [B: vRawTable] :
( A
= ( B @ vsomeRawTable ) )
| ( A = vnoRawTable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptRawTable') ).
thf(760,plain,
! [A: vOptRawTable] :
( ? [B: vRawTable] :
( A
= ( B @ vsomeRawTable ) )
| ( A = vnoRawTable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(166,axiom,
! [A: vName,B: vTType] :
( ? [C: vName,D: vFType,E: vTType,F: vName] :
( ( ( B @ ( A @ vfindColType ) )
= ( E @ ( F @ vfindColType ) ) )
& ( B
= ( E @ ( D @ ( C @ vttcons ) ) ) )
& ( A = F )
& ( F != C ) )
| ? [C: vName,D: vFType,E: vTType,F: vName] :
( ( ( B @ ( A @ vfindColType ) )
= ( D @ vsomeFType ) )
& ( B
= ( E @ ( D @ ( C @ vttcons ) ) ) )
& ( A = F )
& ( F = C ) )
| ? [C: vName] :
( ( ( B @ ( A @ vfindColType ) )
= vnoFType )
& ( B = vttempty )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findColType-INV') ).
thf(1454,plain,
! [A: vName,B: vTType] :
( ? [C: vName,D: vFType,E: vTType,F: vName] :
( ( ( B @ ( A @ vfindColType ) )
= ( E @ ( F @ vfindColType ) ) )
& ( B
= ( E @ ( D @ ( C @ vttcons ) ) ) )
& ( A = F )
& ( F != C ) )
| ? [C: vName,D: vFType,E: vTType,F: vName] :
( ( ( B @ ( A @ vfindColType ) )
= ( D @ vsomeFType ) )
& ( B
= ( E @ ( D @ ( C @ vttcons ) ) ) )
& ( A = F )
& ( F = C ) )
| ? [C: vName] :
( ( ( B @ ( A @ vfindColType ) )
= vnoFType )
& ( B = vttempty )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(29,axiom,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( ( B @ ( A @ vlt ) )
= ( D @ ( C @ vlt ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-lt') ).
thf(347,plain,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( ( B @ ( A @ vlt ) )
= ( D @ ( C @ vlt ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(51,axiom,
! [A: vAttrL] :
( ( A @ ( vaempty @ vappend ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','append-0') ).
thf(518,plain,
! [A: vAttrL] :
( ( A @ ( vaempty @ vappend ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(142,axiom,
! [A: vTType,B: vRow,C: vRawTable] :
( ( C @ ( B @ vtcons ) @ ( A @ vwelltypedRawtable ) )
<=> ( ( C @ ( A @ vwelltypedRawtable ) )
& ( B @ ( A @ vwelltypedRow ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRawtable-1') ).
thf(1200,plain,
! [A: vTType,B: vRow,C: vRawTable] :
( ( ( ( C @ ( A @ vwelltypedRawtable ) )
& ( B @ ( A @ vwelltypedRow ) ) )
=> ( C @ ( B @ vtcons ) @ ( A @ vwelltypedRawtable ) ) )
& ( ( C @ ( B @ vtcons ) @ ( A @ vwelltypedRawtable ) )
=> ( ( C @ ( A @ vwelltypedRawtable ) )
& ( B @ ( A @ vwelltypedRow ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(150,axiom,
! [A: vTType,B: vTable] :
( ( B @ ( A @ vwelltypedtable ) )
=> ? [C: vTType,D: vAttrL,E: vRawTable] :
( ( E @ ( C @ vwelltypedRawtable ) )
& ( D @ ( C @ vmatchingAttrL ) )
& ( B
= ( E @ ( D @ vtable ) ) )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedtable-true-INV') ).
thf(1290,plain,
! [A: vTType,B: vTable] :
( ( B @ ( A @ vwelltypedtable ) )
=> ? [C: vTType,D: vAttrL,E: vRawTable] :
( ( E @ ( C @ vwelltypedRawtable ) )
& ( D @ ( C @ vmatchingAttrL ) )
& ( B
= ( E @ ( D @ vtable ) ) )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(161,axiom,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawDifference ) )
= vtempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawDifference-2') ).
thf(1401,plain,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawDifference ) )
= vtempty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(39,axiom,
! [A: vExp,B: vExp,C: vTType] :
( ( C @ ( B @ ( A @ veq ) @ vtcheckPred ) )
<=> ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-3') ).
thf(449,plain,
! [A: vExp,B: vExp,C: vTType] :
( ( ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) )
=> ( C @ ( B @ ( A @ veq ) @ vtcheckPred ) ) )
& ( ( C @ ( B @ ( A @ veq ) @ vtcheckPred ) )
=> ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(74,axiom,
! [A: vFType,B: vFType] :
( ( ( A @ vsomeFType )
= ( B @ vsomeFType ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someFType') ).
thf(655,plain,
! [A: vFType,B: vFType] :
( ( ( A @ vsomeFType )
= ( B @ vsomeFType ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(170,axiom,
! [A: vName,B: vFType,C: vTType] :
( ( C @ ( B @ ( A @ vttcons ) ) @ ( A @ vfindColType ) )
= ( B @ vsomeFType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findColType-1') ).
thf(1497,plain,
! [A: vName,B: vFType,C: vTType] :
( ( C @ ( B @ ( A @ vttcons ) ) @ ( A @ vfindColType ) )
= ( B @ vsomeFType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(122,axiom,
! [A: vRawTable] :
( ( A @ ( vtempty @ vrawIntersection ) )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawIntersection-0') ).
thf(1078,plain,
! [A: vRawTable] :
( ( A @ ( vtempty @ vrawIntersection ) )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(137,axiom,
vrempty @ ( vttempty @ vwelltypedRow ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRow-0') ).
thf(1164,plain,
vrempty @ ( vttempty @ vwelltypedRow ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(42,axiom,
! [A: vRow,B: vRow,C: vRawTable] :
( ( C @ ( B @ vtcons ) @ ( A @ vrowIn ) )
<=> ( ( C @ ( A @ vrowIn ) )
| ( A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rowIn-1') ).
thf(472,plain,
! [A: vRow,B: vRow,C: vRawTable] :
( ( ( ( C @ ( A @ vrowIn ) )
| ( A = B ) )
=> ( C @ ( B @ vtcons ) @ ( A @ vrowIn ) ) )
& ( ( C @ ( B @ vtcons ) @ ( A @ vrowIn ) )
=> ( ( C @ ( A @ vrowIn ) )
| ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(103,axiom,
! [A: vOptFType] :
( ( A @ visSomeFType )
=> ? [B: vFType] :
( A
= ( B @ vsomeFType ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeFType-true-INV') ).
thf(814,plain,
! [A: vOptFType] :
( ( A @ visSomeFType )
=> ? [B: vFType] :
( A
= ( B @ vsomeFType ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(127,axiom,
! [A: vTType,B: vRow] :
( ( B @ ( A @ vwelltypedRow ) )
=> ( ? [C: vVal,D: vTType,E: vFType,F: vName,G: vRow] :
( ( G @ ( D @ vwelltypedRow ) )
& ( ( C @ vfieldType )
= E )
& ( B
= ( G @ ( C @ vrcons ) ) )
& ( A
= ( D @ ( E @ ( F @ vttcons ) ) ) ) )
| ( ( B = vrempty )
& ( A = vttempty ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRow-true-INV') ).
thf(1095,plain,
! [A: vTType,B: vRow] :
( ( B @ ( A @ vwelltypedRow ) )
=> ( ? [C: vVal,D: vTType,E: vFType,F: vName,G: vRow] :
( ( G @ ( D @ vwelltypedRow ) )
& ( ( C @ vfieldType )
= E )
& ( B
= ( G @ ( C @ vrcons ) ) )
& ( A
= ( D @ ( E @ ( F @ vttcons ) ) ) ) )
| ( ( B = vrempty )
& ( A = vttempty ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(37,axiom,
! [A: vRawTable] :
( ( A @ ( vrempty @ vtcons ) @ vdropFirstColRaw )
= ( A @ vdropFirstColRaw @ ( vrempty @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dropFirstColRaw-1') ).
thf(436,plain,
! [A: vRawTable] :
( ( A @ ( vrempty @ vtcons ) @ vdropFirstColRaw )
= ( A @ vdropFirstColRaw @ ( vrempty @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(19,axiom,
! [A: vVal] :
( vnoVal
!= ( A @ vsomeVal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noVal-someVal') ).
thf(257,plain,
! [A: vVal] :
( vnoVal
!= ( A @ vsomeVal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(107,axiom,
( ( vtempty @ vprojectFirstRaw )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectFirstRaw-0') ).
thf(838,plain,
( ( vtempty @ vprojectFirstRaw )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(87,axiom,
! [A: vAttrL,B: vRawTable] :
( ( B @ ( A @ ( vaempty @ vprojectCols ) ) )
= ( B @ vprojectEmptyCol @ vsomeRawTable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectCols-0') ).
thf(751,plain,
! [A: vAttrL,B: vRawTable] :
( ( B @ ( A @ ( vaempty @ vprojectCols ) ) )
= ( B @ vprojectEmptyCol @ vsomeRawTable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(7,axiom,
! [A: vPred,B: vPred] :
( vptrue
!= ( B @ ( A @ vand ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ptrue-and') ).
thf(196,plain,
! [A: vPred,B: vPred] :
( vptrue
!= ( B @ ( A @ vand ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(30,axiom,
! [A: vExp,B: vExp] :
( vptrue
!= ( B @ ( A @ veq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ptrue-eq') ).
thf(357,plain,
! [A: vExp,B: vExp] :
( vptrue
!= ( B @ ( A @ veq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(141,axiom,
! [A: vTType,B: vName,C: vFType,D: vName,E: vAttrL] :
( ( E @ ( D @ vacons ) @ ( A @ ( C @ ( B @ vttcons ) ) @ vmatchingAttrL ) )
<=> ( ( E @ ( A @ vmatchingAttrL ) )
& ( B = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','matchingAttrL-1') ).
thf(1191,plain,
! [A: vTType,B: vName,C: vFType,D: vName,E: vAttrL] :
( ( ( ( E @ ( A @ vmatchingAttrL ) )
& ( B = D ) )
=> ( E @ ( D @ vacons ) @ ( A @ ( C @ ( B @ vttcons ) ) @ vmatchingAttrL ) ) )
& ( ( E @ ( D @ vacons ) @ ( A @ ( C @ ( B @ vttcons ) ) @ vmatchingAttrL ) )
=> ( ( E @ ( A @ vmatchingAttrL ) )
& ( B = D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(104,axiom,
( ( vtempty @ vdropFirstColRaw )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dropFirstColRaw-0') ).
thf(817,plain,
( ( vtempty @ vdropFirstColRaw )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(34,axiom,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( B @ ( A @ veq ) )
!= ( D @ ( C @ vgt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-eq-gt') ).
thf(421,plain,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( B @ ( A @ veq ) )
!= ( D @ ( C @ vgt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(167,axiom,
! [A: vName,B: vName,C: vFType,D: vTType] :
( ( A != B )
=> ( ( D @ ( C @ ( B @ vttcons ) ) @ ( A @ vfindColType ) )
= ( D @ ( A @ vfindColType ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findColType-2') ).
thf(1479,plain,
! [A: vName,B: vName,C: vFType,D: vTType] :
( ( A != B )
=> ( ( D @ ( C @ ( B @ vttcons ) ) @ ( A @ vfindColType ) )
= ( D @ ( A @ vfindColType ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(160,axiom,
! [A: vName] :
( ( vttempty @ ( A @ vlookup @ vtypeOfExp ) )
= vnoFType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOfExp-1') ).
thf(1398,plain,
! [A: vName] :
( ( vttempty @ ( A @ vlookup @ vtypeOfExp ) )
= vnoFType ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(12,axiom,
! [A: vPred,B: vExp,C: vExp] :
( ( A @ vnot )
!= ( C @ ( B @ vgt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-not-gt') ).
thf(228,plain,
! [A: vPred,B: vExp,C: vExp] :
( ( A @ vnot )
!= ( C @ ( B @ vgt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(20,axiom,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( B @ ( A @ veq ) )
!= ( D @ ( C @ vlt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-eq-lt') ).
thf(261,plain,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( B @ ( A @ veq ) )
!= ( D @ ( C @ vlt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(61,axiom,
! [A: vOptRawTable] :
( ~ ( A @ visSomeRawTable )
=> ( A = vnoRawTable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeRawTable-false-INV') ).
thf(606,plain,
! [A: vOptRawTable] :
( ~ ( A @ visSomeRawTable )
=> ( A = vnoRawTable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(155,axiom,
! [A: vName] :
( ( vttempty @ ( A @ vfindColType ) )
= vnoFType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findColType-0') ).
thf(1347,plain,
! [A: vName] :
( ( vttempty @ ( A @ vfindColType ) )
= vnoFType ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(152,axiom,
! [A: vVal,B: vTType,C: vFType,D: vName,E: vRow] :
( ( E @ ( A @ vrcons ) @ ( B @ ( C @ ( D @ vttcons ) ) @ vwelltypedRow ) )
<=> ( ( E @ ( B @ vwelltypedRow ) )
& ( ( A @ vfieldType )
= C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRow-1') ).
thf(1302,plain,
! [A: vVal,B: vTType,C: vFType,D: vName,E: vRow] :
( ( ( ( E @ ( B @ vwelltypedRow ) )
& ( ( A @ vfieldType )
= C ) )
=> ( E @ ( A @ vrcons ) @ ( B @ ( C @ ( D @ vttcons ) ) @ vwelltypedRow ) ) )
& ( ( E @ ( A @ vrcons ) @ ( B @ ( C @ ( D @ vttcons ) ) @ vwelltypedRow ) )
=> ( ( E @ ( B @ vwelltypedRow ) )
& ( ( A @ vfieldType )
= C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(57,axiom,
! [A: vName,B: vName] :
( ( ( A @ vlookup )
= ( B @ vlookup ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-lookup') ).
thf(591,plain,
! [A: vName,B: vName] :
( ( ( A @ vlookup )
= ( B @ vlookup ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(128,axiom,
! [A: vRawTable] :
( ? [B: vVal,C: vRow,D: vRawTable] :
( ( ( A @ vprojectFirstRaw )
= ( D @ vprojectFirstRaw @ ( vrempty @ ( B @ vrcons ) @ vtcons ) ) )
& ( A
= ( D @ ( C @ ( B @ vrcons ) @ vtcons ) ) ) )
| ? [B: vRawTable] :
( ( ( A @ vprojectFirstRaw )
= ( B @ vprojectFirstRaw @ ( vrempty @ vtcons ) ) )
& ( A
= ( B @ ( vrempty @ vtcons ) ) ) )
| ( ( ( A @ vprojectFirstRaw )
= vtempty )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectFirstRaw-INV') ).
thf(1109,plain,
! [A: vRawTable] :
( ? [B: vVal,C: vRow,D: vRawTable] :
( ( ( A @ vprojectFirstRaw )
= ( D @ vprojectFirstRaw @ ( vrempty @ ( B @ vrcons ) @ vtcons ) ) )
& ( A
= ( D @ ( C @ ( B @ vrcons ) @ vtcons ) ) ) )
| ? [B: vRawTable] :
( ( ( A @ vprojectFirstRaw )
= ( B @ vprojectFirstRaw @ ( vrempty @ vtcons ) ) )
& ( A
= ( B @ ( vrempty @ vtcons ) ) ) )
| ( ( ( A @ vprojectFirstRaw )
= vtempty )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(132,axiom,
! [A: vRow,B: vRawTable] :
( vtempty
!= ( B @ ( A @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-tempty-tcons') ).
thf(1136,plain,
! [A: vRow,B: vRawTable] :
( vtempty
!= ( B @ ( A @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(114,axiom,
! [A: vTType] : ( vtempty @ ( A @ vwelltypedRawtable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRawtable-0') ).
thf(966,plain,
! [A: vTType] : ( vtempty @ ( A @ vwelltypedRawtable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(140,axiom,
! [A: vTType,B: vTable] :
( ~ ( B @ ( A @ vwelltypedtable ) )
=> ? [C: vTType,D: vAttrL,E: vRawTable] :
( ~ ( ( E @ ( C @ vwelltypedRawtable ) )
& ( D @ ( C @ vmatchingAttrL ) ) )
& ( B
= ( E @ ( D @ vtable ) ) )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedtable-false-INV') ).
thf(1183,plain,
! [A: vTType,B: vTable] :
( ~ ( B @ ( A @ vwelltypedtable ) )
=> ? [C: vTType,D: vAttrL,E: vRawTable] :
( ~ ( ( E @ ( C @ vwelltypedRawtable ) )
& ( D @ ( C @ vmatchingAttrL ) ) )
& ( B
= ( E @ ( D @ vtable ) ) )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(149,axiom,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ~ ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawDifference ) )
= ( C @ ( B @ vrawDifference ) @ ( A @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawDifference-3') ).
thf(1283,plain,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ~ ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawDifference ) )
= ( C @ ( B @ vrawDifference ) @ ( A @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(92,axiom,
! [A: vVal,B: vRow,C: vRawTable] :
( ( C @ ( B @ ( A @ vrcons ) @ vtcons ) @ vdropFirstColRaw )
= ( C @ vdropFirstColRaw @ ( B @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dropFirstColRaw-2') ).
thf(766,plain,
! [A: vVal,B: vRow,C: vRawTable] :
( ( C @ ( B @ ( A @ vrcons ) @ vtcons ) @ vdropFirstColRaw )
= ( C @ vdropFirstColRaw @ ( B @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(80,axiom,
! [A: vTType] :
( vnoTType
!= ( A @ vsomeTType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noTType-someTType') ).
thf(687,plain,
! [A: vTType] :
( vnoTType
!= ( A @ vsomeTType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(68,axiom,
~ ( vnoRawTable @ visSomeRawTable ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeRawTable-0') ).
thf(634,plain,
~ ( vnoRawTable @ visSomeRawTable ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(11,axiom,
! [A: vPred,B: vPred,C: vTType] :
( ( C @ ( B @ ( A @ vand ) @ vtcheckPred ) )
<=> ( ( C @ ( B @ vtcheckPred ) )
& ( C @ ( A @ vtcheckPred ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-1') ).
thf(221,plain,
! [A: vPred,B: vPred,C: vTType] :
( ( ( ( C @ ( B @ vtcheckPred ) )
& ( C @ ( A @ vtcheckPred ) ) )
=> ( C @ ( B @ ( A @ vand ) @ vtcheckPred ) ) )
& ( ( C @ ( B @ ( A @ vand ) @ vtcheckPred ) )
=> ( ( C @ ( B @ vtcheckPred ) )
& ( C @ ( A @ vtcheckPred ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(75,axiom,
! [A: vFType] :
( ( A @ vsomeFType @ vgetFType )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','getFType-0') ).
thf(660,plain,
! [A: vFType] :
( ( A @ vsomeFType @ vgetFType )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(118,axiom,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= E )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawDifference ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= ( E @ ( C @ vtcons ) ) )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ~ ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawDifference ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= vtempty )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ( D @ ( C @ vrowIn ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= ( vtempty @ ( C @ vtcons ) ) )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ~ ( D @ ( C @ vrowIn ) ) )
| ? [C: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= vtempty )
& ( B = C )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawDifference-INV') ).
thf(988,plain,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= E )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawDifference ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= ( E @ ( C @ vtcons ) ) )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ~ ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawDifference ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= vtempty )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ( D @ ( C @ vrowIn ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= ( vtempty @ ( C @ vtcons ) ) )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ~ ( D @ ( C @ vrowIn ) ) )
| ? [C: vRawTable] :
( ( ( B @ ( A @ vrawDifference ) )
= vtempty )
& ( B = C )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(21,axiom,
! [A: vVal,B: vAttrL,C: vRow] :
( ( C @ ( B @ ( A @ vconstant @ vevalExpRow ) ) )
= ( A @ vsomeVal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalExpRow-0') ).
thf(265,plain,
! [A: vVal,B: vAttrL,C: vRow] :
( ( C @ ( B @ ( A @ vconstant @ vevalExpRow ) ) )
= ( A @ vsomeVal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(48,axiom,
! [A: vExp] :
( ? [B: vName] :
( A
= ( B @ vlookup ) )
| ? [B: vVal] :
( A
= ( B @ vconstant ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Exp') ).
thf(507,plain,
! [A: vExp] :
( ? [B: vName] :
( A
= ( B @ vlookup ) )
| ? [B: vVal] :
( A
= ( B @ vconstant ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(17,axiom,
! [A: vPred,B: vTType] :
( ( B @ ( A @ vnot @ vtcheckPred ) )
<=> ( B @ ( A @ vtcheckPred ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-2') ).
thf(248,plain,
! [A: vPred,B: vTType] :
( ( ( B @ ( A @ vtcheckPred ) )
=> ( B @ ( A @ vnot @ vtcheckPred ) ) )
& ( ( B @ ( A @ vnot @ vtcheckPred ) )
=> ( B @ ( A @ vtcheckPred ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(98,axiom,
! [A: vTable] :
? [B: vAttrL,C: vRawTable] :
( A
= ( C @ ( B @ vtable ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Table') ).
thf(793,plain,
! [A: vTable] :
? [B: vAttrL,C: vRawTable] :
( A
= ( C @ ( B @ vtable ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(136,axiom,
vaempty @ ( vttempty @ vmatchingAttrL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','matchingAttrL-0') ).
thf(1163,plain,
vaempty @ ( vttempty @ vmatchingAttrL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(50,axiom,
! [A: vRow,B: vRawTable,C: vRow,D: vRawTable] :
( ( D @ ( C @ vtcons ) @ ( B @ ( A @ vtcons ) @ vsameLength ) )
<=> ( D @ ( B @ vsameLength ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','sameLength-1') ).
thf(512,plain,
! [A: vRow,B: vRawTable,C: vRow,D: vRawTable] :
( ( ( D @ ( B @ vsameLength ) )
=> ( D @ ( C @ vtcons ) @ ( B @ ( A @ vtcons ) @ vsameLength ) ) )
& ( ( D @ ( C @ vtcons ) @ ( B @ ( A @ vtcons ) @ vsameLength ) )
=> ( D @ ( B @ vsameLength ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(38,axiom,
! [A: vExp,B: vExp,C: vTType] :
( ( C @ ( B @ ( A @ vgt ) @ vtcheckPred ) )
<=> ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-4') ).
thf(439,plain,
! [A: vExp,B: vExp,C: vTType] :
( ( ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) )
=> ( C @ ( B @ ( A @ vgt ) @ vtcheckPred ) ) )
& ( ( C @ ( B @ ( A @ vgt ) @ vtcheckPred ) )
=> ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(153,axiom,
! [A: vRawTable,B: vAttrL,C: vPred] :
( ? [D: vPred,E: vRow,F: vRawTable,G: vAttrL,H: vRawTable] :
( ( ( C @ ( B @ ( A @ vfilterRows ) ) )
= F )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( E @ vtcons ) ) )
& ~ ( E @ ( G @ ( D @ vfilterSingleRow ) ) )
& ( F
= ( D @ ( G @ ( H @ vfilterRows ) ) ) ) )
| ? [D: vPred,E: vRow,F: vRawTable,G: vAttrL,H: vRawTable] :
( ( ( C @ ( B @ ( A @ vfilterRows ) ) )
= ( F @ ( E @ vtcons ) ) )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( E @ vtcons ) ) )
& ( E @ ( G @ ( D @ vfilterSingleRow ) ) )
& ( F
= ( D @ ( G @ ( H @ vfilterRows ) ) ) ) )
| ? [D: vAttrL,E: vPred] :
( ( ( C @ ( B @ ( A @ vfilterRows ) ) )
= vtempty )
& ( C = E )
& ( B = D )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterRows-INV') ).
thf(1311,plain,
! [A: vRawTable,B: vAttrL,C: vPred] :
( ? [D: vPred,E: vRow,F: vRawTable,G: vAttrL,H: vRawTable] :
( ( ( C @ ( B @ ( A @ vfilterRows ) ) )
= F )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( E @ vtcons ) ) )
& ~ ( E @ ( G @ ( D @ vfilterSingleRow ) ) )
& ( F
= ( D @ ( G @ ( H @ vfilterRows ) ) ) ) )
| ? [D: vPred,E: vRow,F: vRawTable,G: vAttrL,H: vRawTable] :
( ( ( C @ ( B @ ( A @ vfilterRows ) ) )
= ( F @ ( E @ vtcons ) ) )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( E @ vtcons ) ) )
& ( E @ ( G @ ( D @ vfilterSingleRow ) ) )
& ( F
= ( D @ ( G @ ( H @ vfilterRows ) ) ) ) )
| ? [D: vAttrL,E: vPred] :
( ( ( C @ ( B @ ( A @ vfilterRows ) ) )
= vtempty )
& ( C = E )
& ( B = D )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(54,axiom,
! [A: vName,B: vAttrL,C: vVal,D: vRow] :
( ( D @ ( C @ vrcons ) @ ( B @ ( A @ vacons ) @ ( A @ vlookup @ vevalExpRow ) ) )
= ( C @ vsomeVal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalExpRow-1') ).
thf(534,plain,
! [A: vName,B: vAttrL,C: vVal,D: vRow] :
( ( D @ ( C @ vrcons ) @ ( B @ ( A @ vacons ) @ ( A @ vlookup @ vevalExpRow ) ) )
= ( C @ vsomeVal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(144,axiom,
! [A: vTType,B: vRawTable] :
( ( B @ ( A @ vwelltypedRawtable ) )
=> ( ? [C: vRow,D: vRawTable,E: vTType] :
( ( D @ ( E @ vwelltypedRawtable ) )
& ( C @ ( E @ vwelltypedRow ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) )
| ? [C: vTType] :
( ( B = vtempty )
& ( A = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRawtable-true-INV') ).
thf(1223,plain,
! [A: vTType,B: vRawTable] :
( ( B @ ( A @ vwelltypedRawtable ) )
=> ( ? [C: vRow,D: vRawTable,E: vTType] :
( ( D @ ( E @ vwelltypedRawtable ) )
& ( C @ ( E @ vwelltypedRow ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) )
| ? [C: vTType] :
( ( B = vtempty )
& ( A = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(129,axiom,
! [A: vRawTable] :
( ( A @ ( vtempty @ vrawDifference ) )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawDifference-0') ).
thf(1123,plain,
! [A: vRawTable] :
( ( A @ ( vtempty @ vrawDifference ) )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(67,axiom,
! [A: vRawTable] :
( vnoRawTable
!= ( A @ vsomeRawTable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noRawTable-someRawTable') ).
thf(630,plain,
! [A: vRawTable] :
( vnoRawTable
!= ( A @ vsomeRawTable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(82,axiom,
! [A: vRawTable] :
( ( A @ vsomeRawTable @ vgetRawTable )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','getRawTable-0') ).
thf(729,plain,
! [A: vRawTable] :
( ( A @ vsomeRawTable @ vgetRawTable )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(41,axiom,
! [A: vTType,B: vTType] :
( ( ( A @ vsomeTType )
= ( B @ vsomeTType ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someTType') ).
thf(467,plain,
! [A: vTType,B: vTType] :
( ( ( A @ vsomeTType )
= ( B @ vsomeTType ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(31,axiom,
! [A: vTType] : ( A @ ( vptrue @ vtcheckPred ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-0') ).
thf(361,plain,
! [A: vTType] : ( A @ ( vptrue @ vtcheckPred ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(89,axiom,
! [A: vOptRawTable] :
( ( A @ visSomeRawTable )
=> ? [B: vRawTable] :
( A
= ( B @ vsomeRawTable ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeRawTable-true-INV') ).
thf(757,plain,
! [A: vOptRawTable] :
( ( A @ visSomeRawTable )
=> ? [B: vRawTable] :
( A
= ( B @ vsomeRawTable ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(25,axiom,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( ( B @ ( A @ vgt ) )
= ( D @ ( C @ vgt ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-gt') ).
thf(285,plain,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( ( B @ ( A @ vgt ) )
= ( D @ ( C @ vgt ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(156,axiom,
! [A: vRow,B: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawDifference ) )
= ( vtempty @ ( A @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawDifference-1') ).
thf(1350,plain,
! [A: vRow,B: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawDifference ) )
= ( vtempty @ ( A @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(86,axiom,
! [A: vTable,B: vPred] :
? [C: vAttrL,D: vRawTable,E: vPred] :
( ( ( B @ ( A @ vfilterTable ) )
= ( E @ ( C @ ( D @ vfilterRows ) ) @ ( C @ vtable ) ) )
& ( B = E )
& ( A
= ( D @ ( C @ vtable ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterTable-INV') ).
thf(742,plain,
! [A: vTable,B: vPred] :
? [C: vAttrL,D: vRawTable,E: vPred] :
( ( ( B @ ( A @ vfilterTable ) )
= ( E @ ( C @ ( D @ vfilterRows ) ) @ ( C @ vtable ) ) )
& ( B = E )
& ( A
= ( D @ ( C @ vtable ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(125,axiom,
! [A: vRawTable] :
( ( A @ ( vrempty @ vtcons ) @ vprojectFirstRaw )
= ( A @ vprojectFirstRaw @ ( vrempty @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectFirstRaw-1') ).
thf(1089,plain,
! [A: vRawTable] :
( ( A @ ( vrempty @ vtcons ) @ vprojectFirstRaw )
= ( A @ vprojectFirstRaw @ ( vrempty @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(134,axiom,
! [A: vName,B: vFType,C: vTType] :
( ( C @ ( B @ ( A @ vttcons ) ) @ ( A @ vlookup @ vtypeOfExp ) )
= ( B @ vsomeFType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOfExp-2') ).
thf(1143,plain,
! [A: vName,B: vFType,C: vTType] :
( ( C @ ( B @ ( A @ vttcons ) ) @ ( A @ vlookup @ vtypeOfExp ) )
= ( B @ vsomeFType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(64,axiom,
! [A: vRawTable] : ( A @ vsomeRawTable @ visSomeRawTable ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeRawTable-1') ).
thf(615,plain,
! [A: vRawTable] : ( A @ vsomeRawTable @ visSomeRawTable ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(121,axiom,
! [A: vTType,B: vAttrL] :
( ( B @ ( A @ vmatchingAttrL ) )
=> ( ? [C: vTType,D: vName,E: vFType,F: vName,G: vAttrL] :
( ( G @ ( C @ vmatchingAttrL ) )
& ( D = F )
& ( B
= ( G @ ( F @ vacons ) ) )
& ( A
= ( C @ ( E @ ( D @ vttcons ) ) ) ) )
| ( ( B = vaempty )
& ( A = vttempty ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','matchingAttrL-true-INV') ).
thf(1064,plain,
! [A: vTType,B: vAttrL] :
( ( B @ ( A @ vmatchingAttrL ) )
=> ( ? [C: vTType,D: vName,E: vFType,F: vName,G: vAttrL] :
( ( G @ ( C @ vmatchingAttrL ) )
& ( D = F )
& ( B
= ( G @ ( F @ vacons ) ) )
& ( A
= ( C @ ( E @ ( D @ vttcons ) ) ) ) )
| ( ( B = vaempty )
& ( A = vttempty ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(97,axiom,
! [A: vExp,B: vExp,C: vTType] :
( ( C @ ( B @ ( A @ vlt ) @ vtcheckPred ) )
<=> ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-5') ).
thf(783,plain,
! [A: vExp,B: vExp,C: vTType] :
( ( ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) )
=> ( C @ ( B @ ( A @ vlt ) @ vtcheckPred ) ) )
& ( ( C @ ( B @ ( A @ vlt ) @ vtcheckPred ) )
=> ( ( ( C @ ( A @ vtypeOfExp ) @ vgetFType )
= ( C @ ( B @ vtypeOfExp ) @ vgetFType ) )
& ( C @ ( B @ vtypeOfExp ) @ visSomeFType )
& ( C @ ( A @ vtypeOfExp ) @ visSomeFType ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(55,axiom,
! [A: vExp,B: vAttrL,C: vRow] :
( ? [D: vExp,E: vAttrL,F: vRow] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= vnoVal )
& ( C = F )
& ( B = E )
& ( A = D )
& ( ! [G: vVal,H: vRow] :
( F
!= ( H @ ( G @ vrcons ) ) )
| ! [G: vName,H: vAttrL] :
( E
!= ( H @ ( G @ vacons ) ) )
| ! [G: vName] :
( D
!= ( G @ vlookup ) ) )
& ! [G: vVal] :
( D
!= ( G @ vconstant ) ) )
| ? [D: vVal,E: vName,F: vName,G: vRow,H: vAttrL] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= ( G @ ( H @ ( E @ vlookup @ vevalExpRow ) ) ) )
& ( C
= ( G @ ( D @ vrcons ) ) )
& ( B
= ( H @ ( F @ vacons ) ) )
& ( A
= ( E @ vlookup ) )
& ( E != F ) )
| ? [D: vVal,E: vName,F: vName,G: vRow,H: vAttrL] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= ( D @ vsomeVal ) )
& ( C
= ( G @ ( D @ vrcons ) ) )
& ( B
= ( H @ ( F @ vacons ) ) )
& ( A
= ( E @ vlookup ) )
& ( E = F ) )
| ? [D: vVal,E: vAttrL,F: vRow] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= ( D @ vsomeVal ) )
& ( C = F )
& ( B = E )
& ( A
= ( D @ vconstant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalExpRow-INV') ).
thf(537,plain,
! [A: vExp,B: vAttrL,C: vRow] :
( ? [D: vExp,E: vAttrL,F: vRow] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= vnoVal )
& ( C = F )
& ( B = E )
& ( A = D )
& ( ! [G: vVal,H: vRow] :
( F
!= ( H @ ( G @ vrcons ) ) )
| ! [G: vName,H: vAttrL] :
( E
!= ( H @ ( G @ vacons ) ) )
| ! [G: vName] :
( D
!= ( G @ vlookup ) ) )
& ! [G: vVal] :
( D
!= ( G @ vconstant ) ) )
| ? [D: vVal,E: vName,F: vName,G: vRow,H: vAttrL] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= ( G @ ( H @ ( E @ vlookup @ vevalExpRow ) ) ) )
& ( C
= ( G @ ( D @ vrcons ) ) )
& ( B
= ( H @ ( F @ vacons ) ) )
& ( A
= ( E @ vlookup ) )
& ( E != F ) )
| ? [D: vVal,E: vName,F: vName,G: vRow,H: vAttrL] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= ( D @ vsomeVal ) )
& ( C
= ( G @ ( D @ vrcons ) ) )
& ( B
= ( H @ ( F @ vacons ) ) )
& ( A
= ( E @ vlookup ) )
& ( E = F ) )
| ? [D: vVal,E: vAttrL,F: vRow] :
( ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= ( D @ vsomeVal ) )
& ( C = F )
& ( B = E )
& ( A
= ( D @ vconstant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(78,axiom,
! [A: vAttrL,B: vAttrL] :
( ? [C: vName,D: vAttrL,E: vAttrL] :
( ( ( B @ ( A @ vappend ) )
= ( E @ ( D @ vappend ) @ ( C @ vacons ) ) )
& ( B = E )
& ( A
= ( D @ ( C @ vacons ) ) ) )
| ? [C: vAttrL] :
( ( ( B @ ( A @ vappend ) )
= C )
& ( B = C )
& ( A = vaempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','append-INV') ).
thf(669,plain,
! [A: vAttrL,B: vAttrL] :
( ? [C: vName,D: vAttrL,E: vAttrL] :
( ( ( B @ ( A @ vappend ) )
= ( E @ ( D @ vappend ) @ ( C @ vacons ) ) )
& ( B = E )
& ( A
= ( D @ ( C @ vacons ) ) ) )
| ? [C: vAttrL] :
( ( ( B @ ( A @ vappend ) )
= C )
& ( B = C )
& ( A = vaempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(45,axiom,
! [A: vName,B: vTType,C: vAttrL] :
( ~ ( ( B @ ( C @ vprojectTypeAttrL ) @ visSomeTType )
& ( B @ ( A @ vfindColType ) @ visSomeFType ) )
=> ( ( B @ ( C @ ( A @ vacons ) @ vprojectTypeAttrL ) )
= vnoTType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectTypeAttrL-2') ).
thf(489,plain,
! [A: vName,B: vTType,C: vAttrL] :
( ~ ( ( B @ ( C @ vprojectTypeAttrL ) @ visSomeTType )
& ( B @ ( A @ vfindColType ) @ visSomeFType ) )
=> ( ( B @ ( C @ ( A @ vacons ) @ vprojectTypeAttrL ) )
= vnoTType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(143,axiom,
! [A: vRawTable,B: vRawTable] :
( ~ ( B @ ( A @ vsameLength ) )
=> ( ? [C: vRawTable,D: vRawTable] :
( ( B = D )
& ( A = C )
& ( ! [E: vRow,F: vRawTable] :
( D
!= ( F @ ( E @ vtcons ) ) )
| ! [E: vRow,F: vRawTable] :
( C
!= ( F @ ( E @ vtcons ) ) ) )
& ( ( D != vtempty )
| ( C != vtempty ) ) )
| ? [C: vRow,D: vRawTable,E: vRow,F: vRawTable] :
( ~ ( F @ ( D @ vsameLength ) )
& ( B
= ( F @ ( E @ vtcons ) ) )
& ( A
= ( D @ ( C @ vtcons ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','sameLength-false-INV') ).
thf(1207,plain,
! [A: vRawTable,B: vRawTable] :
( ~ ( B @ ( A @ vsameLength ) )
=> ( ? [C: vRawTable,D: vRawTable] :
( ( B = D )
& ( A = C )
& ( ! [E: vRow,F: vRawTable] :
( D
!= ( F @ ( E @ vtcons ) ) )
| ! [E: vRow,F: vRawTable] :
( C
!= ( F @ ( E @ vtcons ) ) ) )
& ( ( D != vtempty )
| ( C != vtempty ) ) )
| ? [C: vRow,D: vRawTable,E: vRow,F: vRawTable] :
( ~ ( F @ ( D @ vsameLength ) )
& ( B
= ( F @ ( E @ vtcons ) ) )
& ( A
= ( D @ ( C @ vtcons ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(72,axiom,
! [A: vName,B: vAttrL,C: vRawTable,D: vAttrL] :
( ~ ( ( C @ ( B @ ( D @ vprojectCols ) ) @ visSomeRawTable )
& ( C @ ( B @ ( A @ vfindCol ) ) @ visSomeRawTable ) )
=> ( ( C @ ( B @ ( D @ ( A @ vacons ) @ vprojectCols ) ) )
= vnoRawTable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectCols-2') ).
thf(647,plain,
! [A: vName,B: vAttrL,C: vRawTable,D: vAttrL] :
( ~ ( ( C @ ( B @ ( D @ vprojectCols ) ) @ visSomeRawTable )
& ( C @ ( B @ ( A @ vfindCol ) ) @ visSomeRawTable ) )
=> ( ( C @ ( B @ ( D @ ( A @ vacons ) @ vprojectCols ) ) )
= vnoRawTable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(117,axiom,
! [A: vRawTable] :
( ( A @ ( vtempty @ vrawUnion ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawUnion-0') ).
thf(985,plain,
! [A: vRawTable] :
( ( A @ ( vtempty @ vrawUnion ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(147,axiom,
! [A: vRawTable] :
( ? [B: vRow,C: vRawTable] :
( A
= ( C @ ( B @ vtcons ) ) )
| ( A = vtempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-RawTable') ).
thf(1249,plain,
! [A: vRawTable] :
( ? [B: vRow,C: vRawTable] :
( A
= ( C @ ( B @ vtcons ) ) )
| ( A = vtempty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(165,axiom,
! [A: vName,B: vAttrL,C: vRawTable] :
( ( C @ ( B @ ( A @ vacons ) @ ( A @ vfindCol ) ) )
= ( C @ vprojectFirstRaw @ vsomeRawTable ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findCol-1') ).
thf(1451,plain,
! [A: vName,B: vAttrL,C: vRawTable] :
( ( C @ ( B @ ( A @ vacons ) @ ( A @ vfindCol ) ) )
= ( C @ vprojectFirstRaw @ vsomeRawTable ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(163,axiom,
! [A: vRawTable,B: vRawTable] :
( ( ( ! [C: vRow,D: vRawTable] :
( B
!= ( D @ ( C @ vtcons ) ) )
| ! [C: vRow,D: vRawTable] :
( A
!= ( D @ ( C @ vtcons ) ) ) )
& ( ( B != vtempty )
| ( A != vtempty ) ) )
=> ~ ( B @ ( A @ vsameLength ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','sameLength-2') ).
thf(1429,plain,
! [A: vRawTable,B: vRawTable] :
( ( ( ! [C: vRow,D: vRawTable] :
( B
!= ( D @ ( C @ vtcons ) ) )
| ! [C: vRow,D: vRawTable] :
( A
!= ( D @ ( C @ vtcons ) ) ) )
& ( ( B != vtempty )
| ( A != vtempty ) ) )
=> ~ ( B @ ( A @ vsameLength ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(28,axiom,
! [A: vExp,B: vExp] :
( vptrue
!= ( B @ ( A @ vlt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ptrue-lt') ).
thf(343,plain,
! [A: vExp,B: vExp] :
( vptrue
!= ( B @ ( A @ vlt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(16,axiom,
! [A: vPred] :
( vptrue
!= ( A @ vnot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ptrue-not') ).
thf(244,plain,
! [A: vPred] :
( vptrue
!= ( A @ vnot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(101,axiom,
! [A: vVal,B: vRow] :
( vrempty
!= ( B @ ( A @ vrcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-rempty-rcons') ).
thf(805,plain,
! [A: vVal,B: vRow] :
( vrempty
!= ( B @ ( A @ vrcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(119,axiom,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawUnion ) )
= E )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawUnion ) ) ) )
| ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawUnion ) )
= ( E @ ( C @ vtcons ) ) )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ~ ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawUnion ) ) ) )
| ? [C: vRawTable] :
( ( ( B @ ( A @ vrawUnion ) )
= C )
& ( B = C )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawUnion-INV') ).
thf(1035,plain,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawUnion ) )
= E )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawUnion ) ) ) )
| ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawUnion ) )
= ( E @ ( C @ vtcons ) ) )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ~ ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawUnion ) ) ) )
| ? [C: vRawTable] :
( ( ( B @ ( A @ vrawUnion ) )
= C )
& ( B = C )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(35,axiom,
! [A: vExp,B: vAttrL,C: vRow] :
( ( ( ! [D: vVal,E: vRow] :
( C
!= ( E @ ( D @ vrcons ) ) )
| ! [D: vName,E: vAttrL] :
( B
!= ( E @ ( D @ vacons ) ) )
| ! [D: vName] :
( A
!= ( D @ vlookup ) ) )
& ! [D: vVal] :
( A
!= ( D @ vconstant ) ) )
=> ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= vnoVal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalExpRow-3') ).
thf(425,plain,
! [A: vExp,B: vAttrL,C: vRow] :
( ( ( ! [D: vVal,E: vRow] :
( C
!= ( E @ ( D @ vrcons ) ) )
| ! [D: vName,E: vAttrL] :
( B
!= ( E @ ( D @ vacons ) ) )
| ! [D: vName] :
( A
!= ( D @ vlookup ) ) )
& ! [D: vVal] :
( A
!= ( D @ vconstant ) ) )
=> ( ( C @ ( B @ ( A @ vevalExpRow ) ) )
= vnoVal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(135,axiom,
! [A: vTType,B: vAttrL] :
( ~ ( B @ ( A @ vmatchingAttrL ) )
=> ( ? [C: vTType,D: vAttrL] :
( ( B = D )
& ( A = C )
& ( ! [E: vName,F: vAttrL] :
( D
!= ( F @ ( E @ vacons ) ) )
| ! [E: vName,F: vFType,G: vTType] :
( C
!= ( G @ ( F @ ( E @ vttcons ) ) ) ) )
& ( ( D != vaempty )
| ( C != vttempty ) ) )
| ? [C: vTType,D: vName,E: vFType,F: vName,G: vAttrL] :
( ~ ( ( G @ ( C @ vmatchingAttrL ) )
& ( D = F ) )
& ( B
= ( G @ ( F @ vacons ) ) )
& ( A
= ( C @ ( E @ ( D @ vttcons ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','matchingAttrL-false-INV') ).
thf(1146,plain,
! [A: vTType,B: vAttrL] :
( ~ ( B @ ( A @ vmatchingAttrL ) )
=> ( ? [C: vTType,D: vAttrL] :
( ( B = D )
& ( A = C )
& ( ! [E: vName,F: vAttrL] :
( D
!= ( F @ ( E @ vacons ) ) )
| ! [E: vName,F: vFType,G: vTType] :
( C
!= ( G @ ( F @ ( E @ vttcons ) ) ) ) )
& ( ( D != vaempty )
| ( C != vttempty ) ) )
| ? [C: vTType,D: vName,E: vFType,F: vName,G: vAttrL] :
( ~ ( ( G @ ( C @ vmatchingAttrL ) )
& ( D = F ) )
& ( B
= ( G @ ( F @ vacons ) ) )
& ( A
= ( C @ ( E @ ( D @ vttcons ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(168,axiom,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawDifference ) )
= ( C @ ( B @ vrawDifference ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawDifference-4') ).
thf(1483,plain,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawDifference ) )
= ( C @ ( B @ vrawDifference ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(105,axiom,
! [A: vRawTable,B: vRawTable] :
( ( B @ ( A @ vsameLength ) )
=> ( ? [C: vRow,D: vRawTable,E: vRow,F: vRawTable] :
( ( F @ ( D @ vsameLength ) )
& ( B
= ( F @ ( E @ vtcons ) ) )
& ( A
= ( D @ ( C @ vtcons ) ) ) )
| ( ( B = vtempty )
& ( A = vtempty ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','sameLength-true-INV') ).
thf(819,plain,
! [A: vRawTable,B: vRawTable] :
( ( B @ ( A @ vsameLength ) )
=> ( ? [C: vRow,D: vRawTable,E: vRow,F: vRawTable] :
( ( F @ ( D @ vsameLength ) )
& ( B
= ( F @ ( E @ vtcons ) ) )
& ( A
= ( D @ ( C @ vtcons ) ) ) )
| ( ( B = vtempty )
& ( A = vtempty ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(83,axiom,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( C @ ( A @ vtcons ) @ vrawUnion ) )
= ( B @ ( C @ vrawUnion ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawUnion-2') ).
thf(732,plain,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( C @ ( A @ vtcons ) @ vrawUnion ) )
= ( B @ ( C @ vrawUnion ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(94,axiom,
! [A: vVal,B: vName] :
( ( A @ vconstant )
!= ( B @ vlookup ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-constant-lookup') ).
thf(772,plain,
! [A: vVal,B: vName] :
( ( A @ vconstant )
!= ( B @ vlookup ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(24,axiom,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( B @ ( A @ vgt ) )
!= ( D @ ( C @ vlt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-gt-lt') ).
thf(281,plain,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( B @ ( A @ vgt ) )
!= ( D @ ( C @ vlt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(146,axiom,
! [A: vRawTable] :
( ? [B: vRow,C: vRawTable] :
( ( ( A @ vprojectEmptyCol )
= ( C @ vprojectEmptyCol @ ( vrempty @ vtcons ) ) )
& ( A
= ( C @ ( B @ vtcons ) ) ) )
| ( ( ( A @ vprojectEmptyCol )
= vtempty )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectEmptyCol-INV') ).
thf(1239,plain,
! [A: vRawTable] :
( ? [B: vRow,C: vRawTable] :
( ( ( A @ vprojectEmptyCol )
= ( C @ vprojectEmptyCol @ ( vrempty @ vtcons ) ) )
& ( A
= ( C @ ( B @ vtcons ) ) ) )
| ( ( ( A @ vprojectEmptyCol )
= vtempty )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(126,axiom,
! [A: vAttrL,B: vPred] :
( ( B @ ( A @ ( vtempty @ vfilterRows ) ) )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterRows-0') ).
thf(1092,plain,
! [A: vAttrL,B: vPred] :
( ( B @ ( A @ ( vtempty @ vfilterRows ) ) )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(14,axiom,
! [A: vPred,B: vPred,C: vExp,D: vExp] :
( ( B @ ( A @ vand ) )
!= ( D @ ( C @ vlt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-and-lt') ).
thf(236,plain,
! [A: vPred,B: vPred,C: vExp,D: vExp] :
( ( B @ ( A @ vand ) )
!= ( D @ ( C @ vlt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(84,axiom,
! [A: vOptFType] :
( ~ ( A @ visSomeFType )
=> ( A = vnoFType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeFType-false-INV') ).
thf(736,plain,
! [A: vOptFType] :
( ~ ( A @ visSomeFType )
=> ( A = vnoFType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(36,axiom,
! [A: vAttrL,B: vRow] : ( B @ ( A @ ( vptrue @ vfilterSingleRow ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterSingleRow-0') ).
thf(434,plain,
! [A: vAttrL,B: vRow] : ( B @ ( A @ ( vptrue @ vfilterSingleRow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(1,conjecture,
! [A: vName,B: vFType,C: vTType] :
( ( vtempty @ ( C @ ( B @ ( A @ vttcons ) ) @ vwelltypedRawtable ) )
=> ( vtempty @ vprojectFirstRaw @ ( vttempty @ ( B @ ( A @ vttcons ) ) @ vwelltypedRawtable ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectFirstRawPreservesWelltypedRaw-tempty') ).
thf(2,negated_conjecture,
~ ! [A: vName,B: vFType,C: vTType] :
( ( vtempty @ ( C @ ( B @ ( A @ vttcons ) ) @ vwelltypedRawtable ) )
=> ( vtempty @ vprojectFirstRaw @ ( vttempty @ ( B @ ( A @ vttcons ) ) @ vwelltypedRawtable ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(172,plain,
~ ! [A: vName,B: vFType,C: vTType] :
( ( vtempty @ ( C @ ( B @ ( A @ vttcons ) ) @ vwelltypedRawtable ) )
=> ( vtempty @ vprojectFirstRaw @ ( vttempty @ ( B @ ( A @ vttcons ) ) @ vwelltypedRawtable ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(106,axiom,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawIntersection ) )
= ( C @ ( B @ vrawIntersection ) @ ( A @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawIntersection-3') ).
thf(831,plain,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawIntersection ) )
= ( C @ ( B @ vrawIntersection ) @ ( A @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(33,axiom,
! [A: vPred,B: vTType] :
( ( B @ ( A @ vtcheckPred ) )
=> ( ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType )
& ( B = G )
& ( A
= ( F @ ( D @ vlt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType )
& ( B = G )
& ( A
= ( F @ ( D @ vgt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType )
& ( B = G )
& ( A
= ( F @ ( D @ veq ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vPred,D: vTType] :
( ( D @ ( C @ vtcheckPred ) )
& ( B = D )
& ( A
= ( C @ vnot ) ) )
| ? [C: vPred,D: vPred,E: vTType] :
( ( E @ ( D @ vtcheckPred ) )
& ( E @ ( C @ vtcheckPred ) )
& ( B = E )
& ( A
= ( D @ ( C @ vand ) ) ) )
| ? [C: vTType] :
( ( B = C )
& ( A = vptrue ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-true-INV') ).
thf(367,plain,
! [A: vPred,B: vTType] :
( ( B @ ( A @ vtcheckPred ) )
=> ( ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType )
& ( B = G )
& ( A
= ( F @ ( D @ vlt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType )
& ( B = G )
& ( A
= ( F @ ( D @ vgt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType )
& ( B = G )
& ( A
= ( F @ ( D @ veq ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vPred,D: vTType] :
( ( D @ ( C @ vtcheckPred ) )
& ( B = D )
& ( A
= ( C @ vnot ) ) )
| ? [C: vPred,D: vPred,E: vTType] :
( ( E @ ( D @ vtcheckPred ) )
& ( E @ ( C @ vtcheckPred ) )
& ( B = E )
& ( A
= ( D @ ( C @ vand ) ) ) )
| ? [C: vTType] :
( ( B = C )
& ( A = vptrue ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(62,axiom,
! [A: vAttrL,B: vRawTable,C: vPred] :
( ( C @ ( B @ ( A @ vtable ) @ vfilterTable ) )
= ( C @ ( A @ ( B @ vfilterRows ) ) @ ( A @ vtable ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterTable-0') ).
thf(609,plain,
! [A: vAttrL,B: vRawTable,C: vPred] :
( ( C @ ( B @ ( A @ vtable ) @ vfilterTable ) )
= ( C @ ( A @ ( B @ vfilterRows ) ) @ ( A @ vtable ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(15,axiom,
! [A: vPred,B: vPred,C: vExp,D: vExp] :
( ( B @ ( A @ vand ) )
!= ( D @ ( C @ vgt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-and-gt') ).
thf(240,plain,
! [A: vPred,B: vPred,C: vExp,D: vExp] :
( ( B @ ( A @ vand ) )
!= ( D @ ( C @ vgt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(154,axiom,
! [A: vName,B: vTType,C: vAttrL] :
( ( ( B @ ( C @ vprojectTypeAttrL ) @ visSomeTType )
& ( B @ ( A @ vfindColType ) @ visSomeFType ) )
=> ( ( B @ ( C @ ( A @ vacons ) @ vprojectTypeAttrL ) )
= ( B @ ( C @ vprojectTypeAttrL ) @ vgetTType @ ( B @ ( A @ vfindColType ) @ vgetFType @ ( A @ vttcons ) ) @ vsomeTType ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectTypeAttrL-1') ).
thf(1344,plain,
! [A: vName,B: vTType,C: vAttrL] :
( ( ( B @ ( C @ vprojectTypeAttrL ) @ visSomeTType )
& ( B @ ( A @ vfindColType ) @ visSomeFType ) )
=> ( ( B @ ( C @ ( A @ vacons ) @ vprojectTypeAttrL ) )
= ( B @ ( C @ vprojectTypeAttrL ) @ vgetTType @ ( B @ ( A @ vfindColType ) @ vgetFType @ ( A @ vttcons ) ) @ vsomeTType ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(93,axiom,
! [A: vName,B: vRawTable] :
( ( B @ ( vaempty @ ( A @ vfindCol ) ) )
= vnoRawTable ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findCol-0') ).
thf(769,plain,
! [A: vName,B: vRawTable] :
( ( B @ ( vaempty @ ( A @ vfindCol ) ) )
= vnoRawTable ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(52,axiom,
! [A: vOptTType] :
( ( A @ visSomeTType )
=> ? [B: vTType] :
( A
= ( B @ vsomeTType ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTType-true-INV') ).
thf(521,plain,
! [A: vOptTType] :
( ( A @ visSomeTType )
=> ? [B: vTType] :
( A
= ( B @ vsomeTType ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(159,axiom,
( ( vtempty @ vprojectEmptyCol )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectEmptyCol-0') ).
thf(1396,plain,
( ( vtempty @ vprojectEmptyCol )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(69,axiom,
! [A: vPred,B: vAttrL,C: vRow,D: vRawTable] :
( ( C @ ( B @ ( A @ vfilterSingleRow ) ) )
=> ( ( A @ ( B @ ( D @ ( C @ vtcons ) @ vfilterRows ) ) )
= ( A @ ( B @ ( D @ vfilterRows ) ) @ ( C @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterRows-1') ).
thf(636,plain,
! [A: vPred,B: vAttrL,C: vRow,D: vRawTable] :
( ( C @ ( B @ ( A @ vfilterSingleRow ) ) )
=> ( ( A @ ( B @ ( D @ ( C @ vtcons ) @ vfilterRows ) ) )
= ( A @ ( B @ ( D @ vfilterRows ) ) @ ( C @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(96,axiom,
! [A: vOptTType] :
( ? [B: vTType] :
( A
= ( B @ vsomeTType ) )
| ( A = vnoTType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptTType') ).
thf(780,plain,
! [A: vOptTType] :
( ? [B: vTType] :
( A
= ( B @ vsomeTType ) )
| ( A = vnoTType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(73,axiom,
! [A: vFType] : ( A @ vsomeFType @ visSomeFType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeFType-1') ).
thf(653,plain,
! [A: vFType] : ( A @ vsomeFType @ visSomeFType ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(23,axiom,
! [A: vOptVal] :
( ? [B: vVal] :
( A
= ( B @ vsomeVal ) )
| ( A = vnoVal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptVal') ).
thf(278,plain,
! [A: vOptVal] :
( ? [B: vVal] :
( A
= ( B @ vsomeVal ) )
| ( A = vnoVal ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(110,axiom,
! [A: vName,B: vAttrL,C: vRawTable] :
( ? [D: vName,E: vAttrL,F: vName,G: vRawTable] :
( ( ( C @ ( B @ ( A @ vfindCol ) ) )
= ( G @ vdropFirstColRaw @ ( E @ ( F @ vfindCol ) ) ) )
& ( C = G )
& ( B
= ( E @ ( D @ vacons ) ) )
& ( A = F )
& ( F != D ) )
| ? [D: vName,E: vAttrL,F: vName,G: vRawTable] :
( ( ( C @ ( B @ ( A @ vfindCol ) ) )
= ( G @ vprojectFirstRaw @ vsomeRawTable ) )
& ( C = G )
& ( B
= ( E @ ( D @ vacons ) ) )
& ( A = F )
& ( F = D ) )
| ? [D: vName,E: vRawTable] :
( ( ( C @ ( B @ ( A @ vfindCol ) ) )
= vnoRawTable )
& ( C = E )
& ( B = vaempty )
& ( A = D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findCol-INV') ).
thf(868,plain,
! [A: vName,B: vAttrL,C: vRawTable] :
( ? [D: vName,E: vAttrL,F: vName,G: vRawTable] :
( ( ( C @ ( B @ ( A @ vfindCol ) ) )
= ( G @ vdropFirstColRaw @ ( E @ ( F @ vfindCol ) ) ) )
& ( C = G )
& ( B
= ( E @ ( D @ vacons ) ) )
& ( A = F )
& ( F != D ) )
| ? [D: vName,E: vAttrL,F: vName,G: vRawTable] :
( ( ( C @ ( B @ ( A @ vfindCol ) ) )
= ( G @ vprojectFirstRaw @ vsomeRawTable ) )
& ( C = G )
& ( B
= ( E @ ( D @ vacons ) ) )
& ( A = F )
& ( F = D ) )
| ? [D: vName,E: vRawTable] :
( ( ( C @ ( B @ ( A @ vfindCol ) ) )
= vnoRawTable )
& ( C = E )
& ( B = vaempty )
& ( A = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(76,axiom,
! [A: vVal,B: vName,C: vName,D: vRow,E: vAttrL] :
( ( B != C )
=> ( ( D @ ( A @ vrcons ) @ ( E @ ( C @ vacons ) @ ( B @ vlookup @ vevalExpRow ) ) )
= ( D @ ( E @ ( B @ vlookup @ vevalExpRow ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','evalExpRow-2') ).
thf(663,plain,
! [A: vVal,B: vName,C: vName,D: vRow,E: vAttrL] :
( ( B != C )
=> ( ( D @ ( A @ vrcons ) @ ( E @ ( C @ vacons ) @ ( B @ vlookup @ vevalExpRow ) ) )
= ( D @ ( E @ ( B @ vlookup @ vevalExpRow ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(123,axiom,
! [A: vName,B: vName,C: vFType,D: vTType] :
( ( A != B )
=> ( ( D @ ( C @ ( B @ vttcons ) ) @ ( A @ vlookup @ vtypeOfExp ) )
= ( D @ ( A @ vlookup @ vtypeOfExp ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOfExp-3') ).
thf(1081,plain,
! [A: vName,B: vName,C: vFType,D: vTType] :
( ( A != B )
=> ( ( D @ ( C @ ( B @ vttcons ) ) @ ( A @ vlookup @ vtypeOfExp ) )
= ( D @ ( A @ vlookup @ vtypeOfExp ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(65,axiom,
! [A: vOptFType] :
( ? [B: vFType] :
( A
= ( B @ vsomeFType ) )
| ( A = vnoFType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-OptFType') ).
thf(617,plain,
! [A: vOptFType] :
( ? [B: vFType] :
( A
= ( B @ vsomeFType ) )
| ( A = vnoFType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(88,axiom,
! [A: vOptTType] :
( ~ ( A @ visSomeTType )
=> ( A = vnoTType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTType-false-INV') ).
thf(754,plain,
! [A: vOptTType] :
( ~ ( A @ visSomeTType )
=> ( A = vnoTType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(115,axiom,
! [A: vRawTable] :
( ? [B: vVal,C: vRow,D: vRawTable] :
( ( ( A @ vdropFirstColRaw )
= ( D @ vdropFirstColRaw @ ( C @ vtcons ) ) )
& ( A
= ( D @ ( C @ ( B @ vrcons ) @ vtcons ) ) ) )
| ? [B: vRawTable] :
( ( ( A @ vdropFirstColRaw )
= ( B @ vdropFirstColRaw @ ( vrempty @ vtcons ) ) )
& ( A
= ( B @ ( vrempty @ vtcons ) ) ) )
| ( ( ( A @ vdropFirstColRaw )
= vtempty )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dropFirstColRaw-INV') ).
thf(968,plain,
! [A: vRawTable] :
( ? [B: vVal,C: vRow,D: vRawTable] :
( ( ( A @ vdropFirstColRaw )
= ( D @ vdropFirstColRaw @ ( C @ vtcons ) ) )
& ( A
= ( D @ ( C @ ( B @ vrcons ) @ vtcons ) ) ) )
| ? [B: vRawTable] :
( ( ( A @ vdropFirstColRaw )
= ( B @ vdropFirstColRaw @ ( vrempty @ vtcons ) ) )
& ( A
= ( B @ ( vrempty @ vtcons ) ) ) )
| ( ( ( A @ vdropFirstColRaw )
= vtempty )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(95,axiom,
! [A: vName,B: vAttrL] :
( vaempty
!= ( B @ ( A @ vacons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-aempty-acons') ).
thf(776,plain,
! [A: vName,B: vAttrL] :
( vaempty
!= ( B @ ( A @ vacons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(70,axiom,
! [A: vTType] :
( ( A @ vsomeTType @ vgetTType )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','getTType-0') ).
thf(640,plain,
! [A: vTType] :
( ( A @ vsomeTType @ vgetTType )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(26,axiom,
! [A: vPred,B: vTType] :
( ~ ( B @ ( A @ vtcheckPred ) )
=> ( ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ~ ( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType ) )
& ( B = G )
& ( A
= ( F @ ( D @ vlt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ~ ( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType ) )
& ( B = G )
& ( A
= ( F @ ( D @ vgt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ~ ( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType ) )
& ( B = G )
& ( A
= ( F @ ( D @ veq ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vPred,D: vTType] :
( ~ ( D @ ( C @ vtcheckPred ) )
& ( B = D )
& ( A
= ( C @ vnot ) ) )
| ? [C: vPred,D: vPred,E: vTType] :
( ~ ( ( E @ ( D @ vtcheckPred ) )
& ( E @ ( C @ vtcheckPred ) ) )
& ( B = E )
& ( A
= ( D @ ( C @ vand ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','tcheckPred-false-INV') ).
thf(295,plain,
! [A: vPred,B: vTType] :
( ~ ( B @ ( A @ vtcheckPred ) )
=> ( ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ~ ( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType ) )
& ( B = G )
& ( A
= ( F @ ( D @ vlt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ~ ( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType ) )
& ( B = G )
& ( A
= ( F @ ( D @ vgt ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vOptFType,D: vExp,E: vOptFType,F: vExp,G: vTType] :
( ~ ( ( ( C @ vgetFType )
= ( E @ vgetFType ) )
& ( E @ visSomeFType )
& ( C @ visSomeFType ) )
& ( B = G )
& ( A
= ( F @ ( D @ veq ) ) )
& ( E
= ( G @ ( F @ vtypeOfExp ) ) )
& ( C
= ( G @ ( D @ vtypeOfExp ) ) ) )
| ? [C: vPred,D: vTType] :
( ~ ( D @ ( C @ vtcheckPred ) )
& ( B = D )
& ( A
= ( C @ vnot ) ) )
| ? [C: vPred,D: vPred,E: vTType] :
( ~ ( ( E @ ( D @ vtcheckPred ) )
& ( E @ ( C @ vtcheckPred ) ) )
& ( B = E )
& ( A
= ( D @ ( C @ vand ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(148,axiom,
! [A: vExp,B: vTType] :
( ? [C: vName,D: vName,E: vFType,F: vTType] :
( ( ( B @ ( A @ vtypeOfExp ) )
= ( F @ ( C @ vlookup @ vtypeOfExp ) ) )
& ( B
= ( F @ ( E @ ( D @ vttcons ) ) ) )
& ( A
= ( C @ vlookup ) )
& ( C != D ) )
| ? [C: vName,D: vName,E: vFType,F: vTType] :
( ( ( B @ ( A @ vtypeOfExp ) )
= ( E @ vsomeFType ) )
& ( B
= ( F @ ( E @ ( D @ vttcons ) ) ) )
& ( A
= ( C @ vlookup ) )
& ( C = D ) )
| ? [C: vName] :
( ( ( B @ ( A @ vtypeOfExp ) )
= vnoFType )
& ( B = vttempty )
& ( A
= ( C @ vlookup ) ) )
| ? [C: vVal,D: vTType] :
( ( ( B @ ( A @ vtypeOfExp ) )
= ( C @ vfieldType @ vsomeFType ) )
& ( B = D )
& ( A
= ( C @ vconstant ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOfExp-INV') ).
thf(1252,plain,
! [A: vExp,B: vTType] :
( ? [C: vName,D: vName,E: vFType,F: vTType] :
( ( ( B @ ( A @ vtypeOfExp ) )
= ( F @ ( C @ vlookup @ vtypeOfExp ) ) )
& ( B
= ( F @ ( E @ ( D @ vttcons ) ) ) )
& ( A
= ( C @ vlookup ) )
& ( C != D ) )
| ? [C: vName,D: vName,E: vFType,F: vTType] :
( ( ( B @ ( A @ vtypeOfExp ) )
= ( E @ vsomeFType ) )
& ( B
= ( F @ ( E @ ( D @ vttcons ) ) ) )
& ( A
= ( C @ vlookup ) )
& ( C = D ) )
| ? [C: vName] :
( ( ( B @ ( A @ vtypeOfExp ) )
= vnoFType )
& ( B = vttempty )
& ( A
= ( C @ vlookup ) ) )
| ? [C: vVal,D: vTType] :
( ( ( B @ ( A @ vtypeOfExp ) )
= ( C @ vfieldType @ vsomeFType ) )
& ( B = D )
& ( A
= ( C @ vconstant ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(85,axiom,
! [A: vAttrL] :
( ? [B: vName,C: vAttrL] :
( A
= ( C @ ( B @ vacons ) ) )
| ( A = vaempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-AttrL') ).
thf(739,plain,
! [A: vAttrL] :
( ? [B: vName,C: vAttrL] :
( A
= ( C @ ( B @ vacons ) ) )
| ( A = vaempty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(108,axiom,
! [A: vName,B: vName,C: vTType,D: vTType,E: vFType,F: vFType] :
( ( ( C @ ( E @ ( B @ vttcons ) ) )
= ( D @ ( F @ ( A @ vttcons ) ) ) )
=> ( ( C = D )
& ( E = F )
& ( B = A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-ttcons') ).
thf(840,plain,
! [A: vName,B: vName,C: vTType,D: vTType,E: vFType,F: vFType] :
( ( ( C @ ( E @ ( B @ vttcons ) ) )
= ( D @ ( F @ ( A @ vttcons ) ) ) )
=> ( ( C = D )
& ( E = F )
& ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(27,axiom,
! [A: vVal,B: vVal] :
( ( ( A @ vsomeVal )
= ( B @ vsomeVal ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someVal') ).
thf(338,plain,
! [A: vVal,B: vVal] :
( ( ( A @ vsomeVal )
= ( B @ vsomeVal ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(124,axiom,
! [A: vName,B: vFType,C: vTType] :
( vttempty
!= ( C @ ( B @ ( A @ vttcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ttempty-ttcons') ).
thf(1085,plain,
! [A: vName,B: vFType,C: vTType] :
( vttempty
!= ( C @ ( B @ ( A @ vttcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(71,axiom,
! [A: vName,B: vName,C: vAttrL,D: vRawTable] :
( ( A != B )
=> ( ( D @ ( C @ ( B @ vacons ) @ ( A @ vfindCol ) ) )
= ( D @ vdropFirstColRaw @ ( C @ ( A @ vfindCol ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','findCol-2') ).
thf(643,plain,
! [A: vName,B: vName,C: vAttrL,D: vRawTable] :
( ( A != B )
=> ( ( D @ ( C @ ( B @ vacons ) @ ( A @ vfindCol ) ) )
= ( D @ vdropFirstColRaw @ ( C @ ( A @ vfindCol ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(3,axiom,
! [A: vPred,B: vPred] :
( ( ( A @ vnot )
= ( B @ vnot ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-not') ).
thf(177,plain,
! [A: vPred,B: vPred] :
( ( ( A @ vnot )
= ( B @ vnot ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: vPred,B: vPred,C: vPred] :
( ( B @ ( A @ vand ) )
!= ( C @ vnot ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-and-not') ).
thf(182,plain,
! [A: vPred,B: vPred,C: vPred] :
( ( B @ ( A @ vand ) )
!= ( C @ vnot ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(162,axiom,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRawTable,D: vRawTable] :
( ( ( B @ ( A @ vattachColToFrontRaw ) )
= ( vtempty @ ( vrempty @ vtcons ) ) )
& ( B = D )
& ( A = C )
& ( ! [E: vRow,F: vRawTable] :
( D
!= ( F @ ( E @ vtcons ) ) )
| ! [E: vVal,F: vRawTable] :
( C
!= ( F @ ( vrempty @ ( E @ vrcons ) @ vtcons ) ) ) )
& ( ( D != vtempty )
| ( C != vtempty ) ) )
| ? [C: vVal,D: vRawTable,E: vRow,F: vRawTable] :
( ( ( B @ ( A @ vattachColToFrontRaw ) )
= ( F @ ( D @ vattachColToFrontRaw ) @ ( E @ ( C @ vrcons ) @ vtcons ) ) )
& ( B
= ( F @ ( E @ vtcons ) ) )
& ( A
= ( D @ ( vrempty @ ( C @ vrcons ) @ vtcons ) ) ) )
| ( ( ( B @ ( A @ vattachColToFrontRaw ) )
= vtempty )
& ( B = vtempty )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','attachColToFrontRaw-INV') ).
thf(1404,plain,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRawTable,D: vRawTable] :
( ( ( B @ ( A @ vattachColToFrontRaw ) )
= ( vtempty @ ( vrempty @ vtcons ) ) )
& ( B = D )
& ( A = C )
& ( ! [E: vRow,F: vRawTable] :
( D
!= ( F @ ( E @ vtcons ) ) )
| ! [E: vVal,F: vRawTable] :
( C
!= ( F @ ( vrempty @ ( E @ vrcons ) @ vtcons ) ) ) )
& ( ( D != vtempty )
| ( C != vtempty ) ) )
| ? [C: vVal,D: vRawTable,E: vRow,F: vRawTable] :
( ( ( B @ ( A @ vattachColToFrontRaw ) )
= ( F @ ( D @ vattachColToFrontRaw ) @ ( E @ ( C @ vrcons ) @ vtcons ) ) )
& ( B
= ( F @ ( E @ vtcons ) ) )
& ( A
= ( D @ ( vrempty @ ( C @ vrcons ) @ vtcons ) ) ) )
| ( ( ( B @ ( A @ vattachColToFrontRaw ) )
= vtempty )
& ( B = vtempty )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(133,axiom,
! [A: vVal,B: vRow,C: vRawTable] :
( ( C @ ( B @ ( A @ vrcons ) @ vtcons ) @ vprojectFirstRaw )
= ( C @ vprojectFirstRaw @ ( vrempty @ ( A @ vrcons ) @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectFirstRaw-2') ).
thf(1140,plain,
! [A: vVal,B: vRow,C: vRawTable] :
( ( C @ ( B @ ( A @ vrcons ) @ vtcons ) @ vprojectFirstRaw )
= ( C @ vprojectFirstRaw @ ( vrempty @ ( A @ vrcons ) @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(63,axiom,
! [A: vName,B: vAttrL,C: vAttrL] :
( ( C @ ( B @ ( A @ vacons ) @ vappend ) )
= ( C @ ( B @ vappend ) @ ( A @ vacons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','append-1') ).
thf(612,plain,
! [A: vName,B: vAttrL,C: vAttrL] :
( ( C @ ( B @ ( A @ vacons ) @ vappend ) )
= ( C @ ( B @ vappend ) @ ( A @ vacons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(47,axiom,
! [A: vVal,B: vRow,C: vVal,D: vRow] :
( ( ( B @ ( A @ vrcons ) )
= ( D @ ( C @ vrcons ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-rcons') ).
thf(497,plain,
! [A: vVal,B: vRow,C: vVal,D: vRow] :
( ( ( B @ ( A @ vrcons ) )
= ( D @ ( C @ vrcons ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(157,axiom,
! [A: vAttrL,B: vTType] :
( ? [C: vName,D: vOptFType,E: vTType,F: vAttrL,G: vOptTType] :
( ( ( B @ ( A @ vprojectTypeAttrL ) )
= vnoTType )
& ( B = E )
& ( A
= ( F @ ( C @ vacons ) ) )
& ~ ( ( G @ visSomeTType )
& ( D @ visSomeFType ) )
& ( G
= ( E @ ( F @ vprojectTypeAttrL ) ) )
& ( D
= ( E @ ( C @ vfindColType ) ) ) )
| ? [C: vName,D: vOptFType,E: vTType,F: vAttrL,G: vOptTType] :
( ( ( B @ ( A @ vprojectTypeAttrL ) )
= ( G @ vgetTType @ ( D @ vgetFType @ ( C @ vttcons ) ) @ vsomeTType ) )
& ( B = E )
& ( A
= ( F @ ( C @ vacons ) ) )
& ( G @ visSomeTType )
& ( D @ visSomeFType )
& ( G
= ( E @ ( F @ vprojectTypeAttrL ) ) )
& ( D
= ( E @ ( C @ vfindColType ) ) ) )
| ? [C: vTType] :
( ( ( B @ ( A @ vprojectTypeAttrL ) )
= ( vttempty @ vsomeTType ) )
& ( B = C )
& ( A = vaempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectTypeAttrL-INV') ).
thf(1353,plain,
! [A: vAttrL,B: vTType] :
( ? [C: vName,D: vOptFType,E: vTType,F: vAttrL,G: vOptTType] :
( ( ( B @ ( A @ vprojectTypeAttrL ) )
= vnoTType )
& ( B = E )
& ( A
= ( F @ ( C @ vacons ) ) )
& ~ ( ( G @ visSomeTType )
& ( D @ visSomeFType ) )
& ( G
= ( E @ ( F @ vprojectTypeAttrL ) ) )
& ( D
= ( E @ ( C @ vfindColType ) ) ) )
| ? [C: vName,D: vOptFType,E: vTType,F: vAttrL,G: vOptTType] :
( ( ( B @ ( A @ vprojectTypeAttrL ) )
= ( G @ vgetTType @ ( D @ vgetFType @ ( C @ vttcons ) ) @ vsomeTType ) )
& ( B = E )
& ( A
= ( F @ ( C @ vacons ) ) )
& ( G @ visSomeTType )
& ( D @ visSomeFType )
& ( G
= ( E @ ( F @ vprojectTypeAttrL ) ) )
& ( D
= ( E @ ( C @ vfindColType ) ) ) )
| ? [C: vTType] :
( ( ( B @ ( A @ vprojectTypeAttrL ) )
= ( vttempty @ vsomeTType ) )
& ( B = C )
& ( A = vaempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(59,axiom,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vtcons ) @ vprojectEmptyCol )
= ( B @ vprojectEmptyCol @ ( vrempty @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectEmptyCol-1') ).
thf(600,plain,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vtcons ) @ vprojectEmptyCol )
= ( B @ vprojectEmptyCol @ ( vrempty @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(32,axiom,
! [A: vExp,B: vExp] :
( vptrue
!= ( B @ ( A @ vgt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-ptrue-gt') ).
thf(363,plain,
! [A: vExp,B: vExp] :
( vptrue
!= ( B @ ( A @ vgt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(43,axiom,
! [A: vFType] :
( vnoFType
!= ( A @ vsomeFType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-noFType-someFType') ).
thf(482,plain,
! [A: vFType] :
( vnoFType
!= ( A @ vsomeFType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(46,axiom,
~ ( vnoTType @ visSomeTType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTType-0') ).
thf(495,plain,
~ ( vnoTType @ visSomeTType ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(130,axiom,
! [A: vTType] :
( ( A @ ( vaempty @ vprojectTypeAttrL ) )
= ( vttempty @ vsomeTType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectTypeAttrL-0') ).
thf(1126,plain,
! [A: vTType] :
( ( A @ ( vaempty @ vprojectTypeAttrL ) )
= ( vttempty @ vsomeTType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(53,axiom,
! [A: vRow,B: vRawTable,C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vtcons ) )
= ( D @ ( C @ vtcons ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-tcons') ).
thf(524,plain,
! [A: vRow,B: vRawTable,C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vtcons ) )
= ( D @ ( C @ vtcons ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(56,axiom,
! [A: vName,B: vAttrL,C: vName,D: vAttrL] :
( ( ( B @ ( A @ vacons ) )
= ( D @ ( C @ vacons ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-acons') ).
thf(581,plain,
! [A: vName,B: vAttrL,C: vName,D: vAttrL] :
( ( ( B @ ( A @ vacons ) )
= ( D @ ( C @ vacons ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(158,axiom,
! [A: vTType,B: vRow] :
( ( ( ! [C: vVal,D: vRow] :
( B
!= ( D @ ( C @ vrcons ) ) )
| ! [C: vName,D: vFType,E: vTType] :
( A
!= ( E @ ( D @ ( C @ vttcons ) ) ) ) )
& ( ( B != vrempty )
| ( A != vttempty ) ) )
=> ~ ( B @ ( A @ vwelltypedRow ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRow-2') ).
thf(1385,plain,
! [A: vTType,B: vRow] :
( ( ( ! [C: vVal,D: vRow] :
( B
!= ( D @ ( C @ vrcons ) ) )
| ! [C: vName,D: vFType,E: vTType] :
( A
!= ( E @ ( D @ ( C @ vttcons ) ) ) ) )
& ( ( B != vrempty )
| ( A != vttempty ) ) )
=> ~ ( B @ ( A @ vwelltypedRow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(113,axiom,
! [A: vRow,B: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawIntersection ) )
= vtempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawIntersection-2') ).
thf(963,plain,
! [A: vRow,B: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawIntersection ) )
= vtempty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(120,axiom,
( ( vtempty @ ( vtempty @ vattachColToFrontRaw ) )
= vtempty ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','attachColToFrontRaw-0') ).
thf(1062,plain,
( ( vtempty @ ( vtempty @ vattachColToFrontRaw ) )
= vtempty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(112,axiom,
! [A: vTType,B: vRow] :
( ~ ( B @ ( A @ vwelltypedRow ) )
=> ( ? [C: vTType,D: vRow] :
( ( B = D )
& ( A = C )
& ( ! [E: vVal,F: vRow] :
( D
!= ( F @ ( E @ vrcons ) ) )
| ! [E: vName,F: vFType,G: vTType] :
( C
!= ( G @ ( F @ ( E @ vttcons ) ) ) ) )
& ( ( D != vrempty )
| ( C != vttempty ) ) )
| ? [C: vVal,D: vTType,E: vFType,F: vName,G: vRow] :
( ~ ( ( G @ ( D @ vwelltypedRow ) )
& ( ( C @ vfieldType )
= E ) )
& ( B
= ( G @ ( C @ vrcons ) ) )
& ( A
= ( D @ ( E @ ( F @ vttcons ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRow-false-INV') ).
thf(946,plain,
! [A: vTType,B: vRow] :
( ~ ( B @ ( A @ vwelltypedRow ) )
=> ( ? [C: vTType,D: vRow] :
( ( B = D )
& ( A = C )
& ( ! [E: vVal,F: vRow] :
( D
!= ( F @ ( E @ vrcons ) ) )
| ! [E: vName,F: vFType,G: vTType] :
( C
!= ( G @ ( F @ ( E @ vttcons ) ) ) ) )
& ( ( D != vrempty )
| ( C != vttempty ) ) )
| ? [C: vVal,D: vTType,E: vFType,F: vName,G: vRow] :
( ~ ( ( G @ ( D @ vwelltypedRow ) )
& ( ( C @ vfieldType )
= E ) )
& ( B
= ( G @ ( C @ vrcons ) ) )
& ( A
= ( D @ ( E @ ( F @ vttcons ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(5,axiom,
! [A: vPred,B: vExp,C: vExp] :
( ( A @ vnot )
!= ( C @ ( B @ veq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-not-eq') ).
thf(186,plain,
! [A: vPred,B: vExp,C: vExp] :
( ( A @ vnot )
!= ( C @ ( B @ veq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(49,axiom,
! [A: vTType] : ( A @ vsomeTType @ visSomeTType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeTType-1') ).
thf(510,plain,
! [A: vTType] : ( A @ vsomeTType @ visSomeTType ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(77,axiom,
~ ( vnoFType @ visSomeFType ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','isSomeFType-0') ).
thf(667,plain,
~ ( vnoFType @ visSomeFType ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(164,axiom,
! [A: vTType,B: vAttrL] :
( ( ( ! [C: vName,D: vAttrL] :
( B
!= ( D @ ( C @ vacons ) ) )
| ! [C: vName,D: vFType,E: vTType] :
( A
!= ( E @ ( D @ ( C @ vttcons ) ) ) ) )
& ( ( B != vaempty )
| ( A != vttempty ) ) )
=> ~ ( B @ ( A @ vmatchingAttrL ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','matchingAttrL-2') ).
thf(1440,plain,
! [A: vTType,B: vAttrL] :
( ( ( ! [C: vName,D: vAttrL] :
( B
!= ( D @ ( C @ vacons ) ) )
| ! [C: vName,D: vFType,E: vTType] :
( A
!= ( E @ ( D @ ( C @ vttcons ) ) ) ) )
& ( ( B != vaempty )
| ( A != vttempty ) ) )
=> ~ ( B @ ( A @ vmatchingAttrL ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(91,axiom,
! [A: vName,B: vAttrL,C: vRawTable,D: vAttrL] :
( ( ( C @ ( B @ ( D @ vprojectCols ) ) @ visSomeRawTable )
& ( C @ ( B @ ( A @ vfindCol ) ) @ visSomeRawTable ) )
=> ( ( C @ ( B @ ( D @ ( A @ vacons ) @ vprojectCols ) ) )
= ( C @ ( B @ ( D @ vprojectCols ) ) @ vgetRawTable @ ( C @ ( B @ ( A @ vfindCol ) ) @ vgetRawTable @ vattachColToFrontRaw ) @ vsomeRawTable ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectCols-1') ).
thf(763,plain,
! [A: vName,B: vAttrL,C: vRawTable,D: vAttrL] :
( ( ( C @ ( B @ ( D @ vprojectCols ) ) @ visSomeRawTable )
& ( C @ ( B @ ( A @ vfindCol ) ) @ visSomeRawTable ) )
=> ( ( C @ ( B @ ( D @ ( A @ vacons ) @ vprojectCols ) ) )
= ( C @ ( B @ ( D @ vprojectCols ) ) @ vgetRawTable @ ( C @ ( B @ ( A @ vfindCol ) ) @ vgetRawTable @ vattachColToFrontRaw ) @ vsomeRawTable ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(111,axiom,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= E )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ~ ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawIntersection ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= ( E @ ( C @ vtcons ) ) )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawIntersection ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= vtempty )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ~ ( D @ ( C @ vrowIn ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= ( vtempty @ ( C @ vtcons ) ) )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ( D @ ( C @ vrowIn ) ) )
| ? [C: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= vtempty )
& ( B = C )
& ( A = vtempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawIntersection-INV') ).
thf(899,plain,
! [A: vRawTable,B: vRawTable] :
( ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= E )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ~ ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawIntersection ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable,E: vRawTable,F: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= ( E @ ( C @ vtcons ) ) )
& ( B = F )
& ( A
= ( D @ ( C @ vtcons ) ) )
& ( F @ ( C @ vrowIn ) )
& ( E
= ( F @ ( D @ vrawIntersection ) ) )
& ! [G: vRow] :
( ( D != vtempty )
| ( C != G ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= vtempty )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ~ ( D @ ( C @ vrowIn ) ) )
| ? [C: vRow,D: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= ( vtempty @ ( C @ vtcons ) ) )
& ( B = D )
& ( A
= ( vtempty @ ( C @ vtcons ) ) )
& ( D @ ( C @ vrowIn ) ) )
| ? [C: vRawTable] :
( ( ( B @ ( A @ vrawIntersection ) )
= vtempty )
& ( B = C )
& ( A = vtempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(79,axiom,
! [A: vVal,B: vRawTable,C: vRow,D: vRawTable] :
( ( D @ ( C @ vtcons ) @ ( B @ ( vrempty @ ( A @ vrcons ) @ vtcons ) @ vattachColToFrontRaw ) )
= ( D @ ( B @ vattachColToFrontRaw ) @ ( C @ ( A @ vrcons ) @ vtcons ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','attachColToFrontRaw-1') ).
thf(684,plain,
! [A: vVal,B: vRawTable,C: vRow,D: vRawTable] :
( ( D @ ( C @ vtcons ) @ ( B @ ( vrempty @ ( A @ vrcons ) @ vtcons ) @ vattachColToFrontRaw ) )
= ( D @ ( B @ vattachColToFrontRaw ) @ ( C @ ( A @ vrcons ) @ vtcons ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(10,axiom,
! [A: vPred,B: vPred,C: vAttrL,D: vRow] :
( ( D @ ( C @ ( B @ ( A @ vand ) @ vfilterSingleRow ) ) )
<=> ( ( D @ ( C @ ( B @ vfilterSingleRow ) ) )
& ( D @ ( C @ ( A @ vfilterSingleRow ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterSingleRow-1') ).
thf(214,plain,
! [A: vPred,B: vPred,C: vAttrL,D: vRow] :
( ( ( ( D @ ( C @ ( B @ vfilterSingleRow ) ) )
& ( D @ ( C @ ( A @ vfilterSingleRow ) ) ) )
=> ( D @ ( C @ ( B @ ( A @ vand ) @ vfilterSingleRow ) ) ) )
& ( ( D @ ( C @ ( B @ ( A @ vand ) @ vfilterSingleRow ) ) )
=> ( ( D @ ( C @ ( B @ vfilterSingleRow ) ) )
& ( D @ ( C @ ( A @ vfilterSingleRow ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(66,axiom,
! [A: vAttrL,B: vRawTable,C: vAttrL,D: vRawTable] :
( ( ( B @ ( A @ vtable ) )
= ( D @ ( C @ vtable ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-table') ).
thf(620,plain,
! [A: vAttrL,B: vRawTable,C: vAttrL,D: vRawTable] :
( ( ( B @ ( A @ vtable ) )
= ( D @ ( C @ vtable ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(60,axiom,
! [A: vVal,B: vTType] :
( ( B @ ( A @ vconstant @ vtypeOfExp ) )
= ( A @ vfieldType @ vsomeFType ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','typeOfExp-0') ).
thf(603,plain,
! [A: vVal,B: vTType] :
( ( B @ ( A @ vconstant @ vtypeOfExp ) )
= ( A @ vfieldType @ vsomeFType ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(109,axiom,
! [A: vRow,B: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ? [C: vRow,D: vRawTable,E: vRow] :
( ~ ( ( D @ ( E @ vrowIn ) )
| ( E = C ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) )
| ? [C: vRow] :
( ( B = vtempty )
& ( A = C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rowIn-false-INV') ).
thf(854,plain,
! [A: vRow,B: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ? [C: vRow,D: vRawTable,E: vRow] :
( ~ ( ( D @ ( E @ vrowIn ) )
| ( E = C ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) )
| ? [C: vRow] :
( ( B = vtempty )
& ( A = C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(6,axiom,
! [A: vPred,B: vAttrL,C: vRow] :
( ( C @ ( B @ ( A @ vnot @ vfilterSingleRow ) ) )
<=> ~ ( C @ ( B @ ( A @ vfilterSingleRow ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterSingleRow-2') ).
thf(190,plain,
! [A: vPred,B: vAttrL,C: vRow] :
( ( ~ ( C @ ( B @ ( A @ vfilterSingleRow ) ) )
=> ( C @ ( B @ ( A @ vnot @ vfilterSingleRow ) ) ) )
& ( ( C @ ( B @ ( A @ vnot @ vfilterSingleRow ) ) )
=> ~ ( C @ ( B @ ( A @ vfilterSingleRow ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(9,axiom,
! [A: vPred,B: vPred,C: vExp,D: vExp] :
( ( B @ ( A @ vand ) )
!= ( D @ ( C @ veq ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-and-eq') ).
thf(210,plain,
! [A: vPred,B: vPred,C: vExp,D: vExp] :
( ( B @ ( A @ vand ) )
!= ( D @ ( C @ veq ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(100,axiom,
! [A: vPred,B: vAttrL,C: vRow,D: vRawTable] :
( ~ ( C @ ( B @ ( A @ vfilterSingleRow ) ) )
=> ( ( A @ ( B @ ( D @ ( C @ vtcons ) @ vfilterRows ) ) )
= ( A @ ( B @ ( D @ vfilterRows ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterRows-2') ).
thf(801,plain,
! [A: vPred,B: vAttrL,C: vRow,D: vRawTable] :
( ~ ( C @ ( B @ ( A @ vfilterSingleRow ) ) )
=> ( ( A @ ( B @ ( D @ ( C @ vtcons ) @ vfilterRows ) ) )
= ( A @ ( B @ ( D @ vfilterRows ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(22,axiom,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( ( B @ ( A @ veq ) )
= ( D @ ( C @ veq ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-eq') ).
thf(268,plain,
! [A: vExp,B: vExp,C: vExp,D: vExp] :
( ( ( B @ ( A @ veq ) )
= ( D @ ( C @ veq ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(139,axiom,
! [A: vRawTable,B: vRawTable] :
( ( ( ! [C: vRow,D: vRawTable] :
( B
!= ( D @ ( C @ vtcons ) ) )
| ! [C: vVal,D: vRawTable] :
( A
!= ( D @ ( vrempty @ ( C @ vrcons ) @ vtcons ) ) ) )
& ( ( B != vtempty )
| ( A != vtempty ) ) )
=> ( ( B @ ( A @ vattachColToFrontRaw ) )
= ( vtempty @ ( vrempty @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','attachColToFrontRaw-2') ).
thf(1172,plain,
! [A: vRawTable,B: vRawTable] :
( ( ( ! [C: vRow,D: vRawTable] :
( B
!= ( D @ ( C @ vtcons ) ) )
| ! [C: vVal,D: vRawTable] :
( A
!= ( D @ ( vrempty @ ( C @ vrcons ) @ vtcons ) ) ) )
& ( ( B != vtempty )
| ( A != vtempty ) ) )
=> ( ( B @ ( A @ vattachColToFrontRaw ) )
= ( vtempty @ ( vrempty @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(138,axiom,
! [A: vTType,B: vRawTable] :
( ~ ( B @ ( A @ vwelltypedRawtable ) )
=> ? [C: vRow,D: vRawTable,E: vTType] :
( ~ ( ( D @ ( E @ vwelltypedRawtable ) )
& ( C @ ( E @ vwelltypedRow ) ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedRawtable-false-INV') ).
thf(1165,plain,
! [A: vTType,B: vRawTable] :
( ~ ( B @ ( A @ vwelltypedRawtable ) )
=> ? [C: vRow,D: vRawTable,E: vTType] :
( ~ ( ( D @ ( E @ vwelltypedRawtable ) )
& ( C @ ( E @ vwelltypedRow ) ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(99,axiom,
! [A: vRawTable,B: vRawTable] :
( ( ( A @ vsomeRawTable )
= ( B @ vsomeRawTable ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-someRawTable') ).
thf(796,plain,
! [A: vRawTable,B: vRawTable] :
( ( ( A @ vsomeRawTable )
= ( B @ vsomeRawTable ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(145,axiom,
! [A: vRow] :
~ ( vtempty @ ( A @ vrowIn ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rowIn-0') ).
thf(1236,plain,
! [A: vRow] :
~ ( vtempty @ ( A @ vrowIn ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(131,axiom,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ~ ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawIntersection ) )
= ( C @ ( B @ vrawIntersection ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawIntersection-4') ).
thf(1129,plain,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ( ~ ( C @ ( A @ vrowIn ) )
& ! [D: vRow] :
( ( B != vtempty )
| ( A != D ) ) )
=> ( ( C @ ( B @ ( A @ vtcons ) @ vrawIntersection ) )
= ( C @ ( B @ vrawIntersection ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(58,axiom,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( C @ ( A @ vtcons ) @ vrawUnion ) )
= ( B @ ( C @ vrawUnion ) @ ( A @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawUnion-1') ).
thf(596,plain,
! [A: vRow,B: vRawTable,C: vRawTable] :
( ~ ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( C @ ( A @ vtcons ) @ vrawUnion ) )
= ( B @ ( C @ vrawUnion ) @ ( A @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(40,axiom,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ? [C: vRow,D: vRawTable,E: vRow] :
( ( ( D @ ( E @ vrowIn ) )
| ( E = C ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rowIn-true-INV') ).
thf(459,plain,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ? [C: vRow,D: vRawTable,E: vRow] :
( ( ( D @ ( E @ vrowIn ) )
| ( E = C ) )
& ( B
= ( D @ ( C @ vtcons ) ) )
& ( A = E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(171,axiom,
vtempty @ ( vtempty @ vsameLength ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','sameLength-0') ).
thf(1500,plain,
vtempty @ ( vtempty @ vsameLength ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(8,axiom,
! [A: vPred,B: vPred,C: vPred,D: vPred] :
( ( ( B @ ( A @ vand ) )
= ( D @ ( C @ vand ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-and') ).
thf(200,plain,
! [A: vPred,B: vPred,C: vPred,D: vPred] :
( ( ( B @ ( A @ vand ) )
= ( D @ ( C @ vand ) ) )
=> ( ( B = D )
& ( A = C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(116,axiom,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawIntersection ) )
= ( vtempty @ ( A @ vtcons ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','rawIntersection-1') ).
thf(982,plain,
! [A: vRow,B: vRawTable] :
( ( B @ ( A @ vrowIn ) )
=> ( ( B @ ( vtempty @ ( A @ vtcons ) @ vrawIntersection ) )
= ( vtempty @ ( A @ vtcons ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(151,axiom,
! [A: vTType] :
( ? [B: vName,C: vFType,D: vTType] :
( A
= ( D @ ( C @ ( B @ vttcons ) ) ) )
| ( A = vttempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-TType') ).
thf(1299,plain,
! [A: vTType] :
( ? [B: vName,C: vFType,D: vTType] :
( A
= ( D @ ( C @ ( B @ vttcons ) ) ) )
| ( A = vttempty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(81,axiom,
! [A: vAttrL,B: vAttrL,C: vRawTable] :
( ? [D: vRawTable,E: vOptRawTable,F: vOptRawTable,G: vAttrL,H: vAttrL,I: vName] :
( ( ( C @ ( B @ ( A @ vprojectCols ) ) )
= vnoRawTable )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( I @ vacons ) ) )
& ~ ( ( E @ visSomeRawTable )
& ( F @ visSomeRawTable ) )
& ( E
= ( D @ ( G @ ( H @ vprojectCols ) ) ) )
& ( F
= ( D @ ( G @ ( I @ vfindCol ) ) ) ) )
| ? [D: vRawTable,E: vOptRawTable,F: vOptRawTable,G: vAttrL,H: vAttrL,I: vName] :
( ( ( C @ ( B @ ( A @ vprojectCols ) ) )
= ( E @ vgetRawTable @ ( F @ vgetRawTable @ vattachColToFrontRaw ) @ vsomeRawTable ) )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( I @ vacons ) ) )
& ( E @ visSomeRawTable )
& ( F @ visSomeRawTable )
& ( E
= ( D @ ( G @ ( H @ vprojectCols ) ) ) )
& ( F
= ( D @ ( G @ ( I @ vfindCol ) ) ) ) )
| ? [D: vAttrL,E: vRawTable] :
( ( ( C @ ( B @ ( A @ vprojectCols ) ) )
= ( E @ vprojectEmptyCol @ vsomeRawTable ) )
& ( C = E )
& ( B = D )
& ( A = vaempty ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','projectCols-INV') ).
thf(691,plain,
! [A: vAttrL,B: vAttrL,C: vRawTable] :
( ? [D: vRawTable,E: vOptRawTable,F: vOptRawTable,G: vAttrL,H: vAttrL,I: vName] :
( ( ( C @ ( B @ ( A @ vprojectCols ) ) )
= vnoRawTable )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( I @ vacons ) ) )
& ~ ( ( E @ visSomeRawTable )
& ( F @ visSomeRawTable ) )
& ( E
= ( D @ ( G @ ( H @ vprojectCols ) ) ) )
& ( F
= ( D @ ( G @ ( I @ vfindCol ) ) ) ) )
| ? [D: vRawTable,E: vOptRawTable,F: vOptRawTable,G: vAttrL,H: vAttrL,I: vName] :
( ( ( C @ ( B @ ( A @ vprojectCols ) ) )
= ( E @ vgetRawTable @ ( F @ vgetRawTable @ vattachColToFrontRaw ) @ vsomeRawTable ) )
& ( C = D )
& ( B = G )
& ( A
= ( H @ ( I @ vacons ) ) )
& ( E @ visSomeRawTable )
& ( F @ visSomeRawTable )
& ( E
= ( D @ ( G @ ( H @ vprojectCols ) ) ) )
& ( F
= ( D @ ( G @ ( I @ vfindCol ) ) ) ) )
| ? [D: vAttrL,E: vRawTable] :
( ( ( C @ ( B @ ( A @ vprojectCols ) ) )
= ( E @ vprojectEmptyCol @ vsomeRawTable ) )
& ( C = E )
& ( B = D )
& ( A = vaempty ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(18,axiom,
! [A: vPred] :
( ? [B: vExp,C: vExp] :
( A
= ( C @ ( B @ vlt ) ) )
| ? [B: vExp,C: vExp] :
( A
= ( C @ ( B @ vgt ) ) )
| ? [B: vExp,C: vExp] :
( A
= ( C @ ( B @ veq ) ) )
| ? [B: vPred] :
( A
= ( B @ vnot ) )
| ? [B: vPred,C: vPred] :
( A
= ( C @ ( B @ vand ) ) )
| ( A = vptrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Pred') ).
thf(254,plain,
! [A: vPred] :
( ? [B: vExp,C: vExp] :
( A
= ( C @ ( B @ vlt ) ) )
| ? [B: vExp,C: vExp] :
( A
= ( C @ ( B @ vgt ) ) )
| ? [B: vExp,C: vExp] :
( A
= ( C @ ( B @ veq ) ) )
| ? [B: vPred] :
( A
= ( B @ vnot ) )
| ? [B: vPred,C: vPred] :
( A
= ( C @ ( B @ vand ) ) )
| ( A = vptrue ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(44,axiom,
! [A: vRow] :
( ? [B: vVal,C: vRow] :
( A
= ( C @ ( B @ vrcons ) ) )
| ( A = vrempty ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','dom-Row') ).
thf(486,plain,
! [A: vRow] :
( ? [B: vVal,C: vRow] :
( A
= ( C @ ( B @ vrcons ) ) )
| ( A = vrempty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(169,axiom,
! [A: vTType,B: vAttrL,C: vRawTable] :
( ( C @ ( B @ vtable ) @ ( A @ vwelltypedtable ) )
<=> ( ( C @ ( A @ vwelltypedRawtable ) )
& ( B @ ( A @ vmatchingAttrL ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','welltypedtable-0') ).
thf(1490,plain,
! [A: vTType,B: vAttrL,C: vRawTable] :
( ( ( ( C @ ( A @ vwelltypedRawtable ) )
& ( B @ ( A @ vmatchingAttrL ) ) )
=> ( C @ ( B @ vtable ) @ ( A @ vwelltypedtable ) ) )
& ( ( C @ ( B @ vtable ) @ ( A @ vwelltypedtable ) )
=> ( ( C @ ( A @ vwelltypedRawtable ) )
& ( B @ ( A @ vmatchingAttrL ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(13,axiom,
! [A: vPred,B: vExp,C: vExp] :
( ( A @ vnot )
!= ( C @ ( B @ vlt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-not-lt') ).
thf(232,plain,
! [A: vPred,B: vExp,C: vExp] :
( ( A @ vnot )
!= ( C @ ( B @ vlt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1508,plain,
$false,
inference(e,[status(thm)],[809,760,1454,347,518,1200,1290,1401,449,655,1497,1078,1164,472,814,1095,436,257,838,751,196,357,1191,817,421,1479,1398,228,261,606,1347,1302,591,1109,1136,966,1183,1283,766,687,634,221,660,988,265,507,248,793,1163,512,439,1311,534,1223,1123,630,729,467,361,757,285,1350,742,1089,1143,615,1064,783,537,669,489,1207,647,985,1249,1451,1429,343,244,805,1035,425,1146,1483,819,732,772,281,1239,1092,236,736,434,172,831,367,609,240,1344,769,521,1396,636,780,653,278,868,663,1081,617,754,968,776,640,295,1252,739,840,338,1085,643,177,182,1404,1140,612,497,1353,600,363,482,495,1126,524,581,1385,963,1062,946,186,510,667,1440,763,899,684,214,620,603,854,190,210,801,268,1172,1165,796,1236,1129,596,459,1500,200,982,1299,691,254,486,1490,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM305_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.09 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40 % Computer : n017.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 23:49:05 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.71/0.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/0.94 % [INFO] Parsing done (243ms).
% 1.45/0.95 % [INFO] Running in sequential loop mode.
% 2.71/1.25 % [INFO] eprover registered as external prover.
% 2.71/1.25 % [INFO] Scanning for conjecture ...
% 3.25/1.47 % [INFO] Found a conjecture (or negated_conjecture) and 292 axioms. Running axiom selection ...
% 3.88/1.63 % [INFO] Axiom selection finished. Selected 169 axioms (removed 123 axioms).
% 5.23/1.94 % [INFO] Problem is typed first-order (TPTP TFF).
% 5.23/1.97 % [INFO] Type checking passed.
% 5.23/1.98 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 16.43/4.64 % External prover 'e' found a proof!
% 16.43/4.65 % [INFO] Killing All external provers ...
% 16.43/4.65 % Time passed: 4154ms (effective reasoning time: 3694ms)
% 16.43/4.65 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 16.43/4.65 % Axioms used in derivation (169): EQ-ttcons, rawIntersection-1, filterRows-0, findColType-2, matchingAttrL-0, dom-Table, EQ-gt, rawUnion-0, projectFirstRaw-1, DIFF-gt-lt, projectEmptyCol-0, DIFF-noFType-someFType, filterTable-0, typeOfExp-1, EQ-someTType, isSomeRawTable-0, EQ-rcons, welltypedtable-0, rawIntersection-0, welltypedRawtable-true-INV, rowIn-false-INV, DIFF-and-not, dropFirstColRaw-INV, dropFirstColRaw-2, DIFF-not-eq, findCol-0, sameLength-0, findCol-INV, isSomeRawTable-true-INV, DIFF-noRawTable-someRawTable, rawIntersection-4, rawDifference-4, EQ-and, rawUnion-1, matchingAttrL-false-INV, evalExpRow-1, dom-OptTType, welltypedRow-1, isSomeTType-true-INV, projectTypeAttrL-INV, tcheckPred-4, dom-RawTable, DIFF-ptrue-lt, DIFF-tempty-tcons, filterSingleRow-0, DIFF-and-lt, filterRows-INV, dom-TType, rowIn-true-INV, DIFF-eq-gt, rawUnion-INV, isSomeFType-0, EQ-tcons, DIFF-and-eq, projectFirstRaw-2, DIFF-ptrue-gt, sameLength-true-INV, EQ-lookup, EQ-lt, dom-AttrL, EQ-table, tcheckPred-0, tcheckPred-5, welltypedRow-true-INV, attachColToFrontRaw-INV, dom-OptRawTable, DIFF-eq-lt, DIFF-constant-lookup, matchingAttrL-1, typeOfExp-2, welltypedRawtable-0, filterSingleRow-2, rawDifference-0, filterTable-INV, typeOfExp-INV, typeOfExp-0, EQ-someVal, projectEmptyCol-1, evalExpRow-INV, isSomeRawTable-1, dropFirstColRaw-1, evalExpRow-2, sameLength-false-INV, sameLength-2, projectTypeAttrL-0, dom-OptFType, rawDifference-1, DIFF-ptrue-and, rawIntersection-3, DIFF-not-lt, append-INV, welltypedRow-2, DIFF-ptrue-eq, DIFF-ttempty-ttcons, attachColToFrontRaw-1, welltypedtable-false-INV, welltypedRawtable-1, DIFF-noTType-someTType, tcheckPred-1, rowIn-0, DIFF-and-gt, DIFF-ptrue-not, isSomeTType-false-INV, append-1, DIFF-noVal-someVal, isSomeTType-0, matchingAttrL-2, typeOfExp-3, filterSingleRow-1, matchingAttrL-true-INV, isSomeFType-false-INV, EQ-constant, rawDifference-INV, rawUnion-2, findCol-2, tcheckPred-true-INV, welltypedRawtable-false-INV, EQ-acons, EQ-not, getRawTable-0, projectCols-0, attachColToFrontRaw-2, isSomeFType-1, findColType-0, rowIn-1, projectTypeAttrL-1, dom-Pred, dropFirstColRaw-0, welltypedRow-0, filterRows-2, projectEmptyCol-INV, rawIntersection-INV, projectCols-INV, dom-Exp, findColType-INV, evalExpRow-3, dom-OptVal, tcheckPred-2, welltypedtable-true-INV, rawIntersection-2, EQ-someFType, DIFF-aempty-acons, isSomeFType-true-INV, getTType-0, tcheckPred-false-INV, attachColToFrontRaw-0, projectCols-2, welltypedRow-false-INV, append-0, findColType-1, findCol-1, rawDifference-2, evalExpRow-0, projectTypeAttrL-2, EQ-someRawTable, DIFF-not-gt, isSomeTType-1, DIFF-rempty-rcons, sameLength-1, isSomeRawTable-false-INV, projectCols-1, EQ-eq, filterRows-1, tcheckPred-3, projectFirstRaw-INV, projectFirstRaw-0, dom-Row, getFType-0, rawDifference-3
% 16.43/4.65 % No. of inferences in proof: 342
% 16.43/4.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4154 ms resp. 3694 ms w/o parsing
% 17.08/4.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.08/4.85 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------