TSTP Solution File: LAT388+4 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:19:27 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 15:57:43 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% 0.20/0.43
% 0.20/0.43 % Formula: mSetSort ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mSetSort, axiom, $true).
% 0.20/0.43
% 0.20/0.43 % Formula: mElmSort ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mElmSort, axiom, $true).
% 0.20/0.43
% 0.20/0.43 % Formula: mEOfElem ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mEOfElem-1, axiom, ( ~aSet0(_u3) | ~aElementOf0(_u2, _u3) | aElement0(_u2) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefEmpty ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefEmpty-1, definition, ( ~aSet0(_u6) | ~isEmpty0(_u6) | ~aElementOf0(_u4, _u6) )).
% 0.20/0.43 cnf(mDefEmpty-2, definition, ( ~aSet0(_u6) | aElementOf0(skolem1(_u6), _u6) | isEmpty0(_u6) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefSub ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefSub-1, definition, ( ~aSet0(_u10) | ~aSubsetOf0(_u11, _u10) | aSet0(_u11) )).
% 0.20/0.43 cnf(mDefSub-2, definition, ( ~aSet0(_u10) | ~aSubsetOf0(_u11, _u10) | ~aElementOf0(_u7, _u11) | aElementOf0(_u7, _u10) )).
% 0.20/0.43 cnf(mDefSub-3, definition, ( ~aSet0(_u10) | aSubsetOf0(_u12, _u10) | ~aSet0(_u12) | aElementOf0(skolem2(_u10, _u12), _u12) )).
% 0.20/0.43 cnf(mDefSub-4, definition, ( ~aSet0(_u10) | aSubsetOf0(_u12, _u10) | ~aSet0(_u12) | ~aElementOf0(skolem2(_u10, _u12), _u10) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mLessRel ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mLessRel, axiom, $true).
% 0.20/0.43
% 0.20/0.43 % Formula: mARefl ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mARefl-1, axiom, ( ~aElement0(_u15) | sdtlseqdt0(_u15, _u15) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mASymm ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mASymm-1, axiom, ( ~aElement0(_u17) | ~aElement0(_u16) | ~sdtlseqdt0(_u17, _u16) | ~sdtlseqdt0(_u16, _u17) | ( _u17 = _u16) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mTrans ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mTrans-1, axiom, ( ~aElement0(_u20) | ~aElement0(_u19) | ~aElement0(_u18) | ~sdtlseqdt0(_u20, _u19) | ~sdtlseqdt0(_u19, _u18) | sdtlseqdt0(_u20, _u18) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefLB ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefLB-1, definition, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | ~aLowerBoundOfIn0(_u26, _u24, _u25) | aElementOf0(_u26, _u25) )).
% 0.20/0.43 cnf(mDefLB-2, definition, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | ~aLowerBoundOfIn0(_u26, _u24, _u25) | ~aElementOf0(_u21, _u24) | sdtlseqdt0(_u26, _u21) )).
% 0.20/0.43 cnf(mDefLB-3, definition, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | aLowerBoundOfIn0(_u27, _u24, _u25) | ~aElementOf0(_u27, _u25) | aElementOf0(skolem3(_u25, _u24, _u27), _u24) )).
% 0.20/0.43 cnf(mDefLB-4, definition, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | aLowerBoundOfIn0(_u27, _u24, _u25) | ~aElementOf0(_u27, _u25) | ~sdtlseqdt0(_u27, skolem3(_u25, _u24, _u27)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefUB ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefUB-1, definition, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | ~aUpperBoundOfIn0(_u33, _u31, _u32) | aElementOf0(_u33, _u32) )).
% 0.20/0.43 cnf(mDefUB-2, definition, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | ~aUpperBoundOfIn0(_u33, _u31, _u32) | ~aElementOf0(_u28, _u31) | sdtlseqdt0(_u28, _u33) )).
% 0.20/0.43 cnf(mDefUB-3, definition, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | aUpperBoundOfIn0(_u34, _u31, _u32) | ~aElementOf0(_u34, _u32) | aElementOf0(skolem4(_u32, _u31, _u34), _u31) )).
% 0.20/0.43 cnf(mDefUB-4, definition, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | aUpperBoundOfIn0(_u34, _u31, _u32) | ~aElementOf0(_u34, _u32) | ~sdtlseqdt0(skolem4(_u32, _u31, _u34), _u34) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefInf ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefInf-1, definition, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | ~aInfimumOfIn0(_u40, _u38, _u39) | aElementOf0(_u40, _u39) )).
% 0.20/0.43 cnf(mDefInf-2, definition, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | ~aInfimumOfIn0(_u40, _u38, _u39) | aLowerBoundOfIn0(_u40, _u38, _u39) )).
% 0.20/0.43 cnf(mDefInf-3, definition, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | ~aInfimumOfIn0(_u40, _u38, _u39) | ~aLowerBoundOfIn0(_u35, _u38, _u39) | sdtlseqdt0(_u35, _u40) )).
% 0.20/0.43 cnf(mDefInf-4, definition, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | aInfimumOfIn0(_u41, _u38, _u39) | ~aElementOf0(_u41, _u39) | ~aLowerBoundOfIn0(_u41, _u38, _u39) | aLowerBoundOfIn0(skolem5(_u39, _u38, _u41), _u38, _u39) )).
% 0.20/0.43 cnf(mDefInf-5, definition, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | aInfimumOfIn0(_u41, _u38, _u39) | ~aElementOf0(_u41, _u39) | ~aLowerBoundOfIn0(_u41, _u38, _u39) | ~sdtlseqdt0(skolem5(_u39, _u38, _u41), _u41) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefSup ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefSup-1, definition, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | ~aSupremumOfIn0(_u47, _u45, _u46) | aElementOf0(_u47, _u46) )).
% 0.20/0.43 cnf(mDefSup-2, definition, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | ~aSupremumOfIn0(_u47, _u45, _u46) | aUpperBoundOfIn0(_u47, _u45, _u46) )).
% 0.20/0.43 cnf(mDefSup-3, definition, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | ~aSupremumOfIn0(_u47, _u45, _u46) | ~aUpperBoundOfIn0(_u42, _u45, _u46) | sdtlseqdt0(_u47, _u42) )).
% 0.20/0.43 cnf(mDefSup-4, definition, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | aSupremumOfIn0(_u48, _u45, _u46) | ~aElementOf0(_u48, _u46) | ~aUpperBoundOfIn0(_u48, _u45, _u46) | aUpperBoundOfIn0(skolem6(_u46, _u45, _u48), _u45, _u46) )).
% 0.20/0.43 cnf(mDefSup-5, definition, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | aSupremumOfIn0(_u48, _u45, _u46) | ~aElementOf0(_u48, _u46) | ~aUpperBoundOfIn0(_u48, _u45, _u46) | ~sdtlseqdt0(_u48, skolem6(_u46, _u45, _u48)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mSupUn ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mSupUn-1, axiom, ( ~aSet0(_u52) | ~aSubsetOf0(_u51, _u52) | ~aSupremumOfIn0(_u50, _u51, _u52) | ~aSupremumOfIn0(_u49, _u51, _u52) | ( _u50 = _u49) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mInfUn ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mInfUn-1, axiom, ( ~aSet0(_u56) | ~aSubsetOf0(_u55, _u56) | ~aInfimumOfIn0(_u54, _u55, _u56) | ~aInfimumOfIn0(_u53, _u55, _u56) | ( _u54 = _u53) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefCLat ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefCLat-1, definition, ( ~aCompleteLattice0(_u64) | aSet0(_u64) )).
% 0.20/0.43 cnf(mDefCLat-2, definition, ( ~aCompleteLattice0(_u64) | ~aSubsetOf0(_u59, _u64) | aSupremumOfIn0(skolem7(_u64, _u59), _u59, _u64) )).
% 0.20/0.43 cnf(mDefCLat-3, definition, ( ~aCompleteLattice0(_u64) | ~aSubsetOf0(_u59, _u64) | aInfimumOfIn0(skolem8(_u64, _u59), _u59, _u64) )).
% 0.20/0.43 cnf(mDefCLat-4, definition, ( aCompleteLattice0(_u65) | ~aSet0(_u65) | aSubsetOf0(skolem9(_u65), _u65) )).
% 0.20/0.43 cnf(mDefCLat-5, definition, ( aCompleteLattice0(_u65) | ~aSet0(_u65) | ~aSupremumOfIn0(_u60, skolem9(_u65), _u65) | ~aInfimumOfIn0(_u61, skolem9(_u65), _u65) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mConMap ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mConMap, axiom, $true).
% 0.20/0.43
% 0.20/0.43 % Formula: mDomSort ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mDomSort-1, axiom, ( ~aFunction0(_u67) | aSet0(szDzozmdt0(_u67)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mRanSort ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mRanSort-1, axiom, ( ~aFunction0(_u68) | aSet0(szRzazndt0(_u68)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefDom ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefDom-1, definition, ( ~aFunction0(_u70) | ~aSet0(_u69) | ~isOn0(_u70, _u69) | ( szDzozmdt0(_u70) = szRzazndt0(_u70)) )).
% 0.20/0.43 cnf(mDefDom-2, definition, ( ~aFunction0(_u70) | ~aSet0(_u69) | ~isOn0(_u70, _u69) | ( szRzazndt0(_u70) = _u69) )).
% 0.20/0.43 cnf(mDefDom-3, definition, ( ~aFunction0(_u70) | ~aSet0(_u69) | ( szDzozmdt0(_u70) != szRzazndt0(_u70)) | ( szRzazndt0(_u70) != _u69) | isOn0(_u70, _u69) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mImgSort ( axiom ) converted to clauses:
% 0.20/0.43 cnf(mImgSort-1, axiom, ( ~aFunction0(_u72) | ~aElementOf0(_u71, szDzozmdt0(_u72)) | aElementOf0(sdtlpdtrp0(_u72, _u71), szRzazndt0(_u72)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefFix ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefFix-1, definition, ( ~aFunction0(_u74) | ~aFixedPointOf0(_u75, _u74) | aElementOf0(_u75, szDzozmdt0(_u74)) )).
% 0.20/0.43 cnf(mDefFix-2, definition, ( ~aFunction0(_u74) | ~aFixedPointOf0(_u75, _u74) | ( sdtlpdtrp0(_u74, _u75) = _u75) )).
% 0.20/0.43 cnf(mDefFix-3, definition, ( ~aFunction0(_u74) | ~aElementOf0(_u76, szDzozmdt0(_u74)) | ( sdtlpdtrp0(_u74, _u76) != _u76) | aFixedPointOf0(_u76, _u74) )).
% 0.20/0.43
% 0.20/0.43 % Formula: mDefMonot ( definition ) converted to clauses:
% 0.20/0.43 cnf(mDefMonot-1, definition, ( ~aFunction0(_u81) | ~isMonotone0(_u81) | ~aElementOf0(_u78, szDzozmdt0(_u81)) | ~aElementOf0(_u77, szDzozmdt0(_u81)) | ~sdtlseqdt0(_u78, _u77) | sdtlseqdt0(sdtlpdtrp0(_u81, _u78), sdtlpdtrp0(_u81, _u77)) )).
% 0.20/0.43 cnf(mDefMonot-2, definition, ( ~aFunction0(_u81) | isMonotone0(_u81) | aElementOf0(skolem10(_u81), szDzozmdt0(_u81)) )).
% 0.20/0.43 cnf(mDefMonot-3, definition, ( ~aFunction0(_u81) | isMonotone0(_u81) | aElementOf0(skolem11(_u81), szDzozmdt0(_u81)) )).
% 0.20/0.43 cnf(mDefMonot-4, definition, ( ~aFunction0(_u81) | isMonotone0(_u81) | sdtlseqdt0(skolem10(_u81), skolem11(_u81)) )).
% 0.20/0.43 cnf(mDefMonot-5, definition, ( ~aFunction0(_u81) | isMonotone0(_u81) | ~sdtlseqdt0(sdtlpdtrp0(_u81, skolem10(_u81)), sdtlpdtrp0(_u81, skolem11(_u81))) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1123 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1123-1, hypothesis, ( aSet0(xU) )).
% 0.20/0.43 cnf(m__1123-2, hypothesis, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-3, hypothesis, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-4, hypothesis, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-5, hypothesis, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-6, hypothesis, ( ~aElementOf0(_u86, _u91) | sdtlseqdt0(_u86, skolem13(_u91)) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-7, hypothesis, ( ~aElementOf0(_u86, _u91) | sdtlseqdt0(_u86, skolem13(_u91)) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-8, hypothesis, ( aUpperBoundOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-9, hypothesis, ( aUpperBoundOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-10, hypothesis, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | aElementOf0(skolem14(_u91, _u88), _u91) )).
% 0.20/0.43 cnf(m__1123-11, hypothesis, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | ~sdtlseqdt0(skolem14(_u91, _u88), _u88) )).
% 0.20/0.43 cnf(m__1123-12, hypothesis, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(skolem13(_u91), _u88) | ~aUpperBoundOfIn0(_u88, _u91, xU) )).
% 0.20/0.43 cnf(m__1123-13, hypothesis, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | aElementOf0(skolem14(_u91, _u88), _u91) )).
% 0.20/0.43 cnf(m__1123-14, hypothesis, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | ~sdtlseqdt0(skolem14(_u91, _u88), _u88) )).
% 0.20/0.43 cnf(m__1123-15, hypothesis, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aUpperBoundOfIn0(_u88, _u91, xU) )).
% 0.20/0.43 cnf(m__1123-16, hypothesis, ( aSupremumOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-17, hypothesis, ( aSupremumOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-18, hypothesis, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-19, hypothesis, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-20, hypothesis, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-21, hypothesis, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-22, hypothesis, ( ~aElementOf0(_u83, _u91) | sdtlseqdt0(skolem15(_u91), _u83) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-23, hypothesis, ( ~aElementOf0(_u83, _u91) | sdtlseqdt0(skolem15(_u91), _u83) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-24, hypothesis, ( aLowerBoundOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-25, hypothesis, ( aLowerBoundOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-26, hypothesis, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | aElementOf0(skolem16(_u91, _u85), _u91) )).
% 0.20/0.43 cnf(m__1123-27, hypothesis, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | ~sdtlseqdt0(_u85, skolem16(_u91, _u85)) )).
% 0.20/0.43 cnf(m__1123-28, hypothesis, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aLowerBoundOfIn0(_u85, _u91, xU) )).
% 0.20/0.43 cnf(m__1123-29, hypothesis, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | aElementOf0(skolem16(_u91, _u85), _u91) )).
% 0.20/0.43 cnf(m__1123-30, hypothesis, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | ~sdtlseqdt0(_u85, skolem16(_u91, _u85)) )).
% 0.20/0.43 cnf(m__1123-31, hypothesis, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aLowerBoundOfIn0(_u85, _u91, xU) )).
% 0.20/0.43 cnf(m__1123-32, hypothesis, ( aInfimumOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(m__1123-33, hypothesis, ( aInfimumOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-34, hypothesis, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem13(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-35, hypothesis, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem13(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-36, hypothesis, ( ~aSubsetOf0(_u91, xU) | ~aElementOf0(_u86, _u91) | sdtlseqdt0(_u86, skolem13(_u91)) )).
% 0.20/0.43 cnf(m__1123-37, hypothesis, ( ~aSubsetOf0(_u91, xU) | aUpperBoundOfIn0(skolem13(_u91), _u91, xU) )).
% 0.20/0.43 cnf(m__1123-38, hypothesis, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | aElementOf0(skolem14(_u91, _u88), _u91) )).
% 0.20/0.43 cnf(m__1123-39, hypothesis, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | ~sdtlseqdt0(skolem14(_u91, _u88), _u88) )).
% 0.20/0.43 cnf(m__1123-40, hypothesis, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aUpperBoundOfIn0(_u88, _u91, xU) )).
% 0.20/0.43 cnf(m__1123-41, hypothesis, ( ~aSubsetOf0(_u91, xU) | aSupremumOfIn0(skolem13(_u91), _u91, xU) )).
% 0.20/0.43 cnf(m__1123-42, hypothesis, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem15(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-43, hypothesis, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem15(_u91), xU) )).
% 0.20/0.43 cnf(m__1123-44, hypothesis, ( ~aSubsetOf0(_u91, xU) | ~aElementOf0(_u83, _u91) | sdtlseqdt0(skolem15(_u91), _u83) )).
% 0.20/0.43 cnf(m__1123-45, hypothesis, ( ~aSubsetOf0(_u91, xU) | aLowerBoundOfIn0(skolem15(_u91), _u91, xU) )).
% 0.20/0.43 cnf(m__1123-46, hypothesis, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | aElementOf0(skolem16(_u91, _u85), _u91) )).
% 0.20/0.43 cnf(m__1123-47, hypothesis, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | ~sdtlseqdt0(_u85, skolem16(_u91, _u85)) )).
% 0.20/0.43 cnf(m__1123-48, hypothesis, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aLowerBoundOfIn0(_u85, _u91, xU) )).
% 0.20/0.43 cnf(m__1123-49, hypothesis, ( ~aSubsetOf0(_u91, xU) | aInfimumOfIn0(skolem15(_u91), _u91, xU) )).
% 0.20/0.43 cnf(m__1123-50, hypothesis, ( aCompleteLattice0(xU) )).
% 0.20/0.43 cnf(m__1123-51, hypothesis, ( aFunction0(xf) )).
% 0.20/0.43 cnf(m__1123-52, hypothesis, ( ~aElementOf0(_u93, szDzozmdt0(xf)) | ~aElementOf0(_u92, szDzozmdt0(xf)) | ~sdtlseqdt0(_u93, _u92) | sdtlseqdt0(sdtlpdtrp0(xf, _u93), sdtlpdtrp0(xf, _u92)) )).
% 0.20/0.43 cnf(m__1123-53, hypothesis, ( isMonotone0(xf) )).
% 0.20/0.43 cnf(m__1123-54, hypothesis, ( ( szDzozmdt0(xf) = szRzazndt0(xf)) )).
% 0.20/0.43 cnf(m__1123-55, hypothesis, ( ( szRzazndt0(xf) = xU) )).
% 0.20/0.43 cnf(m__1123-56, hypothesis, ( isOn0(xf, xU) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1144 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1144-1, hypothesis, ( aSet0(xS) )).
% 0.20/0.43 cnf(m__1144-2, hypothesis, ( ~aElementOf0(_u95, xS) | aElementOf0(_u95, szDzozmdt0(xf)) )).
% 0.20/0.43 cnf(m__1144-3, hypothesis, ( ~aElementOf0(_u95, xS) | ( sdtlpdtrp0(xf, _u95) = _u95) )).
% 0.20/0.43 cnf(m__1144-4, hypothesis, ( ~aElementOf0(_u95, xS) | aFixedPointOf0(_u95, xf) )).
% 0.20/0.43 cnf(m__1144-5, hypothesis, ( aElementOf0(_u96, xS) | ~aElementOf0(_u96, szDzozmdt0(xf)) | ( sdtlpdtrp0(xf, _u96) != _u96) )).
% 0.20/0.43 cnf(m__1144-6, hypothesis, ( aElementOf0(_u96, xS) | ~aFixedPointOf0(_u96, xf) )).
% 0.20/0.43 cnf(m__1144-7, hypothesis, ( ( xS = cS1142(xf)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1173 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1173-1, hypothesis, ( aSet0(xT) )).
% 0.20/0.43 cnf(m__1173-2, hypothesis, ( ~aElementOf0(_u97, xT) | aElementOf0(_u97, xS) )).
% 0.20/0.43 cnf(m__1173-3, hypothesis, ( aSubsetOf0(xT, xS) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1244 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1244-1, hypothesis, ( aSet0(xP) )).
% 0.20/0.43 cnf(m__1244-2, hypothesis, ( ~aElementOf0(_u101, xP) | aElementOf0(_u101, xU) )).
% 0.20/0.43 cnf(m__1244-3, hypothesis, ( ~aElementOf0(_u101, xP) | sdtlseqdt0(sdtlpdtrp0(xf, _u101), _u101) )).
% 0.20/0.43 cnf(m__1244-4, hypothesis, ( ~aElementOf0(_u101, xP) | ~aElementOf0(_u98, xT) | sdtlseqdt0(_u98, _u101) )).
% 0.20/0.43 cnf(m__1244-5, hypothesis, ( ~aElementOf0(_u101, xP) | aUpperBoundOfIn0(_u101, xT, xU) )).
% 0.20/0.43 cnf(m__1244-6, hypothesis, ( aElementOf0(_u102, xP) | ~aElementOf0(_u102, xU) | ~sdtlseqdt0(sdtlpdtrp0(xf, _u102), _u102) | aElementOf0(skolem17(_u102), xT) )).
% 0.20/0.43 cnf(m__1244-7, hypothesis, ( aElementOf0(_u102, xP) | ~aElementOf0(_u102, xU) | ~sdtlseqdt0(sdtlpdtrp0(xf, _u102), _u102) | ~sdtlseqdt0(skolem17(_u102), _u102) )).
% 0.20/0.43 cnf(m__1244-8, hypothesis, ( aElementOf0(_u102, xP) | ~aElementOf0(_u102, xU) | ~sdtlseqdt0(sdtlpdtrp0(xf, _u102), _u102) | ~aUpperBoundOfIn0(_u102, xT, xU) )).
% 0.20/0.43 cnf(m__1244-9, hypothesis, ( ( xP = cS1241(xU, xf, xT)) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1261 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1261-1, hypothesis, ( aElementOf0(xp, xU) )).
% 0.20/0.43 cnf(m__1261-2, hypothesis, ( aElementOf0(xp, xU) )).
% 0.20/0.43 cnf(m__1261-3, hypothesis, ( ~aElementOf0(_u103, xP) | sdtlseqdt0(xp, _u103) )).
% 0.20/0.43 cnf(m__1261-4, hypothesis, ( aLowerBoundOfIn0(xp, xP, xU) )).
% 0.20/0.43 cnf(m__1261-5, hypothesis, ( sdtlseqdt0(_u105, xp) | ~aElementOf0(_u105, xU) | aElementOf0(skolem18(_u105), xP) )).
% 0.20/0.43 cnf(m__1261-6, hypothesis, ( sdtlseqdt0(_u105, xp) | ~aElementOf0(_u105, xU) | ~sdtlseqdt0(_u105, skolem18(_u105)) )).
% 0.20/0.43 cnf(m__1261-7, hypothesis, ( sdtlseqdt0(_u105, xp) | ~aLowerBoundOfIn0(_u105, xP, xU) )).
% 0.20/0.43 cnf(m__1261-8, hypothesis, ( aInfimumOfIn0(xp, xP, xU) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1299 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1299-1, hypothesis, ( ~aElementOf0(_u106, xP) | sdtlseqdt0(sdtlpdtrp0(xf, xp), _u106) )).
% 0.20/0.43 cnf(m__1299-2, hypothesis, ( aLowerBoundOfIn0(sdtlpdtrp0(xf, xp), xP, xU) )).
% 0.20/0.43 cnf(m__1299-3, hypothesis, ( ~aElementOf0(_u107, xT) | sdtlseqdt0(_u107, sdtlpdtrp0(xf, xp)) )).
% 0.20/0.43 cnf(m__1299-4, hypothesis, ( aUpperBoundOfIn0(sdtlpdtrp0(xf, xp), xT, xU) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__1330 ( hypothesis ) converted to clauses:
% 0.20/0.43 cnf(m__1330-1, hypothesis, ( aElementOf0(xp, szDzozmdt0(xf)) )).
% 0.20/0.43 cnf(m__1330-2, hypothesis, ( ( sdtlpdtrp0(xf, xp) = xp) )).
% 0.20/0.43 cnf(m__1330-3, hypothesis, ( aFixedPointOf0(xp, xf) )).
% 0.20/0.43 cnf(m__1330-4, hypothesis, ( ~aElementOf0(_u108, xT) | sdtlseqdt0(_u108, xp) )).
% 0.20/0.43 cnf(m__1330-5, hypothesis, ( aUpperBoundOfIn0(xp, xT, xS) )).
% 0.20/0.43 cnf(m__1330-6, hypothesis, ( sdtlseqdt0(xp, _u110) | ~aElementOf0(_u110, xS) | aElementOf0(skolem19(_u110), xT) )).
% 0.20/0.43 cnf(m__1330-7, hypothesis, ( sdtlseqdt0(xp, _u110) | ~aElementOf0(_u110, xS) | ~sdtlseqdt0(skolem19(_u110), _u110) )).
% 0.20/0.43 cnf(m__1330-8, hypothesis, ( sdtlseqdt0(xp, _u110) | ~aUpperBoundOfIn0(_u110, xT, xS) )).
% 0.20/0.43 cnf(m__1330-9, hypothesis, ( aSupremumOfIn0(xp, xT, xS) )).
% 0.20/0.43
% 0.20/0.43 % Formula: m__ ( conjecture ) (definitionally) converted to clauses:
% 0.20/0.43 cnf(m__-1, negated_conjecture, ( ~aElementOf0(_u114, xS) | ~_def1(_u114) | ~_def2(_u114, _u112) )).
% 0.20/0.43 cnf(m__-2, negated_conjecture, ( ~aSupremumOfIn0(_u114, xT, xS) )).
% 0.20/0.43 cnf(m__-3, negated_conjecture, ( _def1(_u114) | ~aElementOf0(_u114, xS) | ~_def0(_u114) )).
% 0.20/0.43 cnf(m__-4, negated_conjecture, ( _def1(_u114) | ~aUpperBoundOfIn0(_u114, xT, xS) )).
% 0.20/0.43 cnf(m__-5, negated_conjecture, ( _def0(_u114) | aElementOf0(skolem20(_u114), xT) )).
% 0.20/0.43 cnf(m__-6, negated_conjecture, ( _def0(_u114) | ~sdtlseqdt0(skolem20(_u114), _u114) )).
% 0.20/0.43 cnf(m__-7, negated_conjecture, ( _def2(_u114, _u112) | aElementOf0(skolem21(_u114), xS) )).
% 0.20/0.43 cnf(m__-8, negated_conjecture, ( _def2(_u114, _u112) | ~aElementOf0(_u112, xT) | sdtlseqdt0(_u112, skolem21(_u114)) )).
% 0.20/0.43 cnf(m__-9, negated_conjecture, ( _def2(_u114, _u112) | aUpperBoundOfIn0(skolem21(_u114), xT, xS) )).
% 0.20/0.43 cnf(m__-10, negated_conjecture, ( _def2(_u114, _u112) | ~sdtlseqdt0(_u114, skolem21(_u114)) )).
% 0.20/0.43
% 0.20/0.43 % Problem matrix:
% 0.20/0.43 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.20/0.43 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.20/0.43 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.20/0.43 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( szDzozmdt0(__eqx_0) = szDzozmdt0(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( szRzazndt0(__eqx_0) = szRzazndt0(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtlpdtrp0(__eqx_0, __eqx_1) = sdtlpdtrp0(__eqy_0, __eqy_1)) )).
% 0.20/0.43 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( cS1142(__eqx_0) = cS1142(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( cS1241(__eqx_0, __eqx_1, __eqx_2) = cS1241(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.43 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.20/0.43 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.43 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem4(__eqx_0, __eqx_1, __eqx_2) = skolem4(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.43 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.43 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.43 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 0.20/0.43 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 0.20/0.43 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( skolem10(__eqx_0) = skolem10(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 0.20/0.43 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 0.20/0.43 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( skolem17(__eqx_0) = skolem17(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( skolem18(__eqx_0) = skolem18(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( skolem19(__eqx_0) = skolem19(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( skolem20(__eqx_0) = skolem20(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( skolem21(__eqx_0) = skolem21(__eqy_0)) )).
% 0.20/0.43 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ~aSet0(__eqx_0) | aSet0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ~aElement0(__eqx_0) | aElement0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~aElementOf0(__eqx_0, __eqx_1) | aElementOf0(__eqy_0, __eqy_1) )).
% 0.20/0.43 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ~isEmpty0(__eqx_0) | isEmpty0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~aSubsetOf0(__eqx_0, __eqx_1) | aSubsetOf0(__eqy_0, __eqy_1) )).
% 0.20/0.43 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~sdtlseqdt0(__eqx_0, __eqx_1) | sdtlseqdt0(__eqy_0, __eqy_1) )).
% 0.20/0.43 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~aLowerBoundOfIn0(__eqx_0, __eqx_1, __eqx_2) | aLowerBoundOfIn0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.20/0.43 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~aUpperBoundOfIn0(__eqx_0, __eqx_1, __eqx_2) | aUpperBoundOfIn0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.20/0.43 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~aInfimumOfIn0(__eqx_0, __eqx_1, __eqx_2) | aInfimumOfIn0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.20/0.43 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~aSupremumOfIn0(__eqx_0, __eqx_1, __eqx_2) | aSupremumOfIn0(__eqy_0, __eqy_1, __eqy_2) )).
% 0.20/0.43 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ~aCompleteLattice0(__eqx_0) | aCompleteLattice0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ~aFunction0(__eqx_0) | aFunction0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~isOn0(__eqx_0, __eqx_1) | isOn0(__eqy_0, __eqy_1) )).
% 0.20/0.43 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~aFixedPointOf0(__eqx_0, __eqx_1) | aFixedPointOf0(__eqy_0, __eqy_1) )).
% 0.20/0.43 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ~isMonotone0(__eqx_0) | isMonotone0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ~_def0(__eqx_0) | _def0(__eqy_0) )).
% 0.20/0.43 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ~_def1(__eqx_0) | _def1(__eqy_0) )).
% 0.20/0.43 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~_def2(__eqx_0, __eqx_1) | _def2(__eqy_0, __eqy_1) )).
% 0.20/0.43 cnf(matrix-47, plain, ( ~aSet0(_u3) | ~aElementOf0(_u2, _u3) | aElement0(_u2) )).
% 0.20/0.43 cnf(matrix-48, plain, ( ~aSet0(_u6) | ~isEmpty0(_u6) | ~aElementOf0(_u4, _u6) )).
% 0.20/0.43 cnf(matrix-49, plain, ( ~aSet0(_u6) | aElementOf0(skolem1(_u6), _u6) | isEmpty0(_u6) )).
% 0.20/0.43 cnf(matrix-50, plain, ( ~aSet0(_u10) | ~aSubsetOf0(_u11, _u10) | aSet0(_u11) )).
% 0.20/0.43 cnf(matrix-51, plain, ( ~aSet0(_u10) | ~aSubsetOf0(_u11, _u10) | ~aElementOf0(_u7, _u11) | aElementOf0(_u7, _u10) )).
% 0.20/0.43 cnf(matrix-52, plain, ( ~aSet0(_u10) | aSubsetOf0(_u12, _u10) | ~aSet0(_u12) | aElementOf0(skolem2(_u10, _u12), _u12) )).
% 0.20/0.43 cnf(matrix-53, plain, ( ~aSet0(_u10) | aSubsetOf0(_u12, _u10) | ~aSet0(_u12) | ~aElementOf0(skolem2(_u10, _u12), _u10) )).
% 0.20/0.43 cnf(matrix-54, plain, ( ~aElement0(_u15) | sdtlseqdt0(_u15, _u15) )).
% 0.20/0.43 cnf(matrix-55, plain, ( ~aElement0(_u17) | ~aElement0(_u16) | ~sdtlseqdt0(_u17, _u16) | ~sdtlseqdt0(_u16, _u17) | ( _u17 = _u16) )).
% 0.20/0.43 cnf(matrix-56, plain, ( ~aElement0(_u20) | ~aElement0(_u19) | ~aElement0(_u18) | ~sdtlseqdt0(_u20, _u19) | ~sdtlseqdt0(_u19, _u18) | sdtlseqdt0(_u20, _u18) )).
% 0.20/0.43 cnf(matrix-57, plain, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | ~aLowerBoundOfIn0(_u26, _u24, _u25) | aElementOf0(_u26, _u25) )).
% 0.20/0.43 cnf(matrix-58, plain, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | ~aLowerBoundOfIn0(_u26, _u24, _u25) | ~aElementOf0(_u21, _u24) | sdtlseqdt0(_u26, _u21) )).
% 0.20/0.43 cnf(matrix-59, plain, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | aLowerBoundOfIn0(_u27, _u24, _u25) | ~aElementOf0(_u27, _u25) | aElementOf0(skolem3(_u25, _u24, _u27), _u24) )).
% 0.20/0.43 cnf(matrix-60, plain, ( ~aSet0(_u25) | ~aSubsetOf0(_u24, _u25) | aLowerBoundOfIn0(_u27, _u24, _u25) | ~aElementOf0(_u27, _u25) | ~sdtlseqdt0(_u27, skolem3(_u25, _u24, _u27)) )).
% 0.20/0.43 cnf(matrix-61, plain, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | ~aUpperBoundOfIn0(_u33, _u31, _u32) | aElementOf0(_u33, _u32) )).
% 0.20/0.43 cnf(matrix-62, plain, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | ~aUpperBoundOfIn0(_u33, _u31, _u32) | ~aElementOf0(_u28, _u31) | sdtlseqdt0(_u28, _u33) )).
% 0.20/0.43 cnf(matrix-63, plain, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | aUpperBoundOfIn0(_u34, _u31, _u32) | ~aElementOf0(_u34, _u32) | aElementOf0(skolem4(_u32, _u31, _u34), _u31) )).
% 0.20/0.43 cnf(matrix-64, plain, ( ~aSet0(_u32) | ~aSubsetOf0(_u31, _u32) | aUpperBoundOfIn0(_u34, _u31, _u32) | ~aElementOf0(_u34, _u32) | ~sdtlseqdt0(skolem4(_u32, _u31, _u34), _u34) )).
% 0.20/0.43 cnf(matrix-65, plain, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | ~aInfimumOfIn0(_u40, _u38, _u39) | aElementOf0(_u40, _u39) )).
% 0.20/0.43 cnf(matrix-66, plain, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | ~aInfimumOfIn0(_u40, _u38, _u39) | aLowerBoundOfIn0(_u40, _u38, _u39) )).
% 0.20/0.43 cnf(matrix-67, plain, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | ~aInfimumOfIn0(_u40, _u38, _u39) | ~aLowerBoundOfIn0(_u35, _u38, _u39) | sdtlseqdt0(_u35, _u40) )).
% 0.20/0.43 cnf(matrix-68, plain, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | aInfimumOfIn0(_u41, _u38, _u39) | ~aElementOf0(_u41, _u39) | ~aLowerBoundOfIn0(_u41, _u38, _u39) | aLowerBoundOfIn0(skolem5(_u39, _u38, _u41), _u38, _u39) )).
% 0.20/0.43 cnf(matrix-69, plain, ( ~aSet0(_u39) | ~aSubsetOf0(_u38, _u39) | aInfimumOfIn0(_u41, _u38, _u39) | ~aElementOf0(_u41, _u39) | ~aLowerBoundOfIn0(_u41, _u38, _u39) | ~sdtlseqdt0(skolem5(_u39, _u38, _u41), _u41) )).
% 0.20/0.43 cnf(matrix-70, plain, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | ~aSupremumOfIn0(_u47, _u45, _u46) | aElementOf0(_u47, _u46) )).
% 0.20/0.43 cnf(matrix-71, plain, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | ~aSupremumOfIn0(_u47, _u45, _u46) | aUpperBoundOfIn0(_u47, _u45, _u46) )).
% 0.20/0.43 cnf(matrix-72, plain, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | ~aSupremumOfIn0(_u47, _u45, _u46) | ~aUpperBoundOfIn0(_u42, _u45, _u46) | sdtlseqdt0(_u47, _u42) )).
% 0.20/0.43 cnf(matrix-73, plain, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | aSupremumOfIn0(_u48, _u45, _u46) | ~aElementOf0(_u48, _u46) | ~aUpperBoundOfIn0(_u48, _u45, _u46) | aUpperBoundOfIn0(skolem6(_u46, _u45, _u48), _u45, _u46) )).
% 0.20/0.43 cnf(matrix-74, plain, ( ~aSet0(_u46) | ~aSubsetOf0(_u45, _u46) | aSupremumOfIn0(_u48, _u45, _u46) | ~aElementOf0(_u48, _u46) | ~aUpperBoundOfIn0(_u48, _u45, _u46) | ~sdtlseqdt0(_u48, skolem6(_u46, _u45, _u48)) )).
% 0.20/0.43 cnf(matrix-75, plain, ( ~aSet0(_u52) | ~aSubsetOf0(_u51, _u52) | ~aSupremumOfIn0(_u50, _u51, _u52) | ~aSupremumOfIn0(_u49, _u51, _u52) | ( _u50 = _u49) )).
% 0.20/0.43 cnf(matrix-76, plain, ( ~aSet0(_u56) | ~aSubsetOf0(_u55, _u56) | ~aInfimumOfIn0(_u54, _u55, _u56) | ~aInfimumOfIn0(_u53, _u55, _u56) | ( _u54 = _u53) )).
% 0.20/0.43 cnf(matrix-77, plain, ( ~aCompleteLattice0(_u64) | aSet0(_u64) )).
% 0.20/0.43 cnf(matrix-78, plain, ( ~aCompleteLattice0(_u64) | ~aSubsetOf0(_u59, _u64) | aSupremumOfIn0(skolem7(_u64, _u59), _u59, _u64) )).
% 0.20/0.43 cnf(matrix-79, plain, ( ~aCompleteLattice0(_u64) | ~aSubsetOf0(_u59, _u64) | aInfimumOfIn0(skolem8(_u64, _u59), _u59, _u64) )).
% 0.20/0.43 cnf(matrix-80, plain, ( aCompleteLattice0(_u65) | ~aSet0(_u65) | aSubsetOf0(skolem9(_u65), _u65) )).
% 0.20/0.43 cnf(matrix-81, plain, ( aCompleteLattice0(_u65) | ~aSet0(_u65) | ~aSupremumOfIn0(_u60, skolem9(_u65), _u65) | ~aInfimumOfIn0(_u61, skolem9(_u65), _u65) )).
% 0.20/0.43 cnf(matrix-82, plain, ( ~aFunction0(_u67) | aSet0(szDzozmdt0(_u67)) )).
% 0.20/0.43 cnf(matrix-83, plain, ( ~aFunction0(_u68) | aSet0(szRzazndt0(_u68)) )).
% 0.20/0.43 cnf(matrix-84, plain, ( ~aFunction0(_u70) | ~aSet0(_u69) | ~isOn0(_u70, _u69) | ( szDzozmdt0(_u70) = szRzazndt0(_u70)) )).
% 0.20/0.43 cnf(matrix-85, plain, ( ~aFunction0(_u70) | ~aSet0(_u69) | ~isOn0(_u70, _u69) | ( szRzazndt0(_u70) = _u69) )).
% 0.20/0.43 cnf(matrix-86, plain, ( ~aFunction0(_u70) | ~aSet0(_u69) | ( szDzozmdt0(_u70) != szRzazndt0(_u70)) | ( szRzazndt0(_u70) != _u69) | isOn0(_u70, _u69) )).
% 0.20/0.43 cnf(matrix-87, plain, ( ~aFunction0(_u72) | ~aElementOf0(_u71, szDzozmdt0(_u72)) | aElementOf0(sdtlpdtrp0(_u72, _u71), szRzazndt0(_u72)) )).
% 0.20/0.43 cnf(matrix-88, plain, ( ~aFunction0(_u74) | ~aFixedPointOf0(_u75, _u74) | aElementOf0(_u75, szDzozmdt0(_u74)) )).
% 0.20/0.43 cnf(matrix-89, plain, ( ~aFunction0(_u74) | ~aFixedPointOf0(_u75, _u74) | ( sdtlpdtrp0(_u74, _u75) = _u75) )).
% 0.20/0.43 cnf(matrix-90, plain, ( ~aFunction0(_u74) | ~aElementOf0(_u76, szDzozmdt0(_u74)) | ( sdtlpdtrp0(_u74, _u76) != _u76) | aFixedPointOf0(_u76, _u74) )).
% 0.20/0.43 cnf(matrix-91, plain, ( ~aFunction0(_u81) | ~isMonotone0(_u81) | ~aElementOf0(_u78, szDzozmdt0(_u81)) | ~aElementOf0(_u77, szDzozmdt0(_u81)) | ~sdtlseqdt0(_u78, _u77) | sdtlseqdt0(sdtlpdtrp0(_u81, _u78), sdtlpdtrp0(_u81, _u77)) )).
% 0.20/0.43 cnf(matrix-92, plain, ( ~aFunction0(_u81) | isMonotone0(_u81) | aElementOf0(skolem10(_u81), szDzozmdt0(_u81)) )).
% 0.20/0.43 cnf(matrix-93, plain, ( ~aFunction0(_u81) | isMonotone0(_u81) | aElementOf0(skolem11(_u81), szDzozmdt0(_u81)) )).
% 0.20/0.43 cnf(matrix-94, plain, ( ~aFunction0(_u81) | isMonotone0(_u81) | sdtlseqdt0(skolem10(_u81), skolem11(_u81)) )).
% 0.20/0.43 cnf(matrix-95, plain, ( ~aFunction0(_u81) | isMonotone0(_u81) | ~sdtlseqdt0(sdtlpdtrp0(_u81, skolem10(_u81)), sdtlpdtrp0(_u81, skolem11(_u81))) )).
% 0.20/0.43 cnf(matrix-96, plain, ( aSet0(xU) )).
% 0.20/0.43 cnf(matrix-97, plain, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-98, plain, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-99, plain, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-100, plain, ( aElementOf0(skolem13(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-101, plain, ( ~aElementOf0(_u86, _u91) | sdtlseqdt0(_u86, skolem13(_u91)) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-102, plain, ( ~aElementOf0(_u86, _u91) | sdtlseqdt0(_u86, skolem13(_u91)) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-103, plain, ( aUpperBoundOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-104, plain, ( aUpperBoundOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-105, plain, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | aElementOf0(skolem14(_u91, _u88), _u91) )).
% 0.20/0.43 cnf(matrix-106, plain, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | ~sdtlseqdt0(skolem14(_u91, _u88), _u88) )).
% 0.20/0.43 cnf(matrix-107, plain, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(skolem13(_u91), _u88) | ~aUpperBoundOfIn0(_u88, _u91, xU) )).
% 0.20/0.43 cnf(matrix-108, plain, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | aElementOf0(skolem14(_u91, _u88), _u91) )).
% 0.20/0.43 cnf(matrix-109, plain, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | ~sdtlseqdt0(skolem14(_u91, _u88), _u88) )).
% 0.20/0.43 cnf(matrix-110, plain, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aUpperBoundOfIn0(_u88, _u91, xU) )).
% 0.20/0.43 cnf(matrix-111, plain, ( aSupremumOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-112, plain, ( aSupremumOfIn0(skolem13(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-113, plain, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-114, plain, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-115, plain, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-116, plain, ( aElementOf0(skolem15(_u91), xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-117, plain, ( ~aElementOf0(_u83, _u91) | sdtlseqdt0(skolem15(_u91), _u83) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-118, plain, ( ~aElementOf0(_u83, _u91) | sdtlseqdt0(skolem15(_u91), _u83) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-119, plain, ( aLowerBoundOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-120, plain, ( aLowerBoundOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-121, plain, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | aElementOf0(skolem16(_u91, _u85), _u91) )).
% 0.20/0.43 cnf(matrix-122, plain, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | ~sdtlseqdt0(_u85, skolem16(_u91, _u85)) )).
% 0.20/0.43 cnf(matrix-123, plain, ( ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aLowerBoundOfIn0(_u85, _u91, xU) )).
% 0.20/0.43 cnf(matrix-124, plain, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | aElementOf0(skolem16(_u91, _u85), _u91) )).
% 0.20/0.43 cnf(matrix-125, plain, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | ~sdtlseqdt0(_u85, skolem16(_u91, _u85)) )).
% 0.20/0.43 cnf(matrix-126, plain, ( ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aLowerBoundOfIn0(_u85, _u91, xU) )).
% 0.20/0.43 cnf(matrix-127, plain, ( aInfimumOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | aElementOf0(skolem12(_u91), _u91) )).
% 0.20/0.43 cnf(matrix-128, plain, ( aInfimumOfIn0(skolem15(_u91), _u91, xU) | ~aSet0(_u91) | ~aElementOf0(skolem12(_u91), xU) )).
% 0.20/0.43 cnf(matrix-129, plain, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem13(_u91), xU) )).
% 0.20/0.43 cnf(matrix-130, plain, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem13(_u91), xU) )).
% 0.20/0.43 cnf(matrix-131, plain, ( ~aSubsetOf0(_u91, xU) | ~aElementOf0(_u86, _u91) | sdtlseqdt0(_u86, skolem13(_u91)) )).
% 0.20/0.43 cnf(matrix-132, plain, ( ~aSubsetOf0(_u91, xU) | aUpperBoundOfIn0(skolem13(_u91), _u91, xU) )).
% 0.20/0.43 cnf(matrix-133, plain, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | aElementOf0(skolem14(_u91, _u88), _u91) )).
% 0.20/0.43 cnf(matrix-134, plain, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aElementOf0(_u88, xU) | ~sdtlseqdt0(skolem14(_u91, _u88), _u88) )).
% 0.20/0.43 cnf(matrix-135, plain, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(skolem13(_u91), _u88) | ~aUpperBoundOfIn0(_u88, _u91, xU) )).
% 0.20/0.43 cnf(matrix-136, plain, ( ~aSubsetOf0(_u91, xU) | aSupremumOfIn0(skolem13(_u91), _u91, xU) )).
% 0.20/0.43 cnf(matrix-137, plain, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem15(_u91), xU) )).
% 0.20/0.43 cnf(matrix-138, plain, ( ~aSubsetOf0(_u91, xU) | aElementOf0(skolem15(_u91), xU) )).
% 0.20/0.43 cnf(matrix-139, plain, ( ~aSubsetOf0(_u91, xU) | ~aElementOf0(_u83, _u91) | sdtlseqdt0(skolem15(_u91), _u83) )).
% 0.20/0.43 cnf(matrix-140, plain, ( ~aSubsetOf0(_u91, xU) | aLowerBoundOfIn0(skolem15(_u91), _u91, xU) )).
% 0.20/0.43 cnf(matrix-141, plain, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | aElementOf0(skolem16(_u91, _u85), _u91) )).
% 0.20/0.43 cnf(matrix-142, plain, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aElementOf0(_u85, xU) | ~sdtlseqdt0(_u85, skolem16(_u91, _u85)) )).
% 0.20/0.43 cnf(matrix-143, plain, ( ~aSubsetOf0(_u91, xU) | sdtlseqdt0(_u85, skolem15(_u91)) | ~aLowerBoundOfIn0(_u85, _u91, xU) )).
% 0.20/0.43 cnf(matrix-144, plain, ( ~aSubsetOf0(_u91, xU) | aInfimumOfIn0(skolem15(_u91), _u91, xU) )).
% 0.20/0.43 cnf(matrix-145, plain, ( aCompleteLattice0(xU) )).
% 0.20/0.43 cnf(matrix-146, plain, ( aFunction0(xf) )).
% 0.20/0.43 cnf(matrix-147, plain, ( ~aElementOf0(_u93, szDzozmdt0(xf)) | ~aElementOf0(_u92, szDzozmdt0(xf)) | ~sdtlseqdt0(_u93, _u92) | sdtlseqdt0(sdtlpdtrp0(xf, _u93), sdtlpdtrp0(xf, _u92)) )).
% 0.20/0.43 cnf(matrix-148, plain, ( isMonotone0(xf) )).
% 0.20/0.43 cnf(matrix-149, plain, ( ( szDzozmdt0(xf) = szRzazndt0(xf)) )).
% 0.20/0.43 cnf(matrix-150, plain, ( ( szRzazndt0(xf) = xU) )).
% 0.20/0.43 cnf(matrix-151, plain, ( isOn0(xf, xU) )).
% 0.20/0.43 cnf(matrix-152, plain, ( aSet0(xS) )).
% 0.20/0.43 cnf(matrix-153, plain, ( ~aElementOf0(_u95, xS) | aElementOf0(_u95, szDzozmdt0(xf)) )).
% 0.20/0.43 cnf(matrix-154, plain, ( ~aElementOf0(_u95, xS) | ( sdtlpdtrp0(xf, _u95) = _u95) )).
% 0.20/0.43 cnf(matrix-155, plain, ( ~aElementOf0(_u95, xS) | aFixedPointOf0(_u95, xf) )).
% 0.20/0.43 cnf(matrix-156, plain, ( aElementOf0(_u96, xS) | ~aElementOf0(_u96, szDzozmdt0(xf)) | ( sdtlpdtrp0(xf, _u96) != _u96) )).
% 0.20/0.43 cnf(matrix-157, plain, ( aElementOf0(_u96, xS) | ~aFixedPointOf0(_u96, xf) )).
% 0.20/0.43 cnf(matrix-158, plain, ( ( xS = cS1142(xf)) )).
% 0.20/0.43 cnf(matrix-159, plain, ( aSet0(xT) )).
% 0.20/0.43 cnf(matrix-160, plain, ( ~aElementOf0(_u97, xT) | aElementOf0(_u97, xS) )).
% 0.20/0.43 cnf(matrix-161, plain, ( aSubsetOf0(xT, xS) )).
% 0.20/0.43 cnf(matrix-162, plain, ( aSet0(xP) )).
% 0.20/0.43 cnf(matrix-163, plain, ( ~aElementOf0(_u101, xP) | aElementOf0(_u101, xU) )).
% 0.20/0.43 cnf(matrix-164, plain, ( ~aElementOf0(_u101, xP) | sdtlseqdt0(sdtlpdtrp0(xf, _u101), _u101) )).
% 0.20/0.43 cnf(matrix-165, plain, ( ~aElementOf0(_u101, xP) | ~aElementOf0(_u98, xT) | sdtlseqdt0(_u98, _u101) )).
% 0.20/0.43 cnf(matrix-166, plain, ( ~aElementOf0(_u101, xP) | aUpperBoundOfIn0(_u101, xT, xU) )).
% 0.20/0.43 cnf(matrix-167, plain, ( aElementOf0(_u102, xP) | ~aElementOf0(_u102, xU) | ~sdtlseqdt0(sdtlpdtrp0(xf, _u102), _u102) | aElementOf0(skolem17(_u102), xT) )).
% 0.20/0.43 cnf(matrix-168, plain, ( aElementOf0(_u102, xP) | ~aElementOf0(_u102, xU) | ~sdtlseqdt0(sdtlpdtrp0(xf, _u102), _u102) | ~sdtlseqdt0(skolem17(_u102), _u102) )).
% 0.20/0.43 cnf(matrix-169, plain, ( aElementOf0(_u102, xP) | ~aElementOf0(_u102, xU) | ~sdtlseqdt0(sdtlpdtrp0(xf, _u102), _u102) | ~aUpperBoundOfIn0(_u102, xT, xU) )).
% 0.20/0.43 cnf(matrix-170, plain, ( ( xP = cS1241(xU, xf, xT)) )).
% 0.20/0.43 cnf(matrix-171, plain, ( aElementOf0(xp, xU) )).
% 0.20/0.43 cnf(matrix-172, plain, ( aElementOf0(xp, xU) )).
% 0.20/0.43 cnf(matrix-173, plain, ( ~aElementOf0(_u103, xP) | sdtlseqdt0(xp, _u103) )).
% 0.20/0.43 cnf(matrix-174, plain, ( aLowerBoundOfIn0(xp, xP, xU) )).
% 0.20/0.43 cnf(matrix-175, plain, ( sdtlseqdt0(_u105, xp) | ~aElementOf0(_u105, xU) | aElementOf0(skolem18(_u105), xP) )).
% 0.20/0.43 cnf(matrix-176, plain, ( sdtlseqdt0(_u105, xp) | ~aElementOf0(_u105, xU) | ~sdtlseqdt0(_u105, skolem18(_u105)) )).
% 0.20/0.43 cnf(matrix-177, plain, ( sdtlseqdt0(_u105, xp) | ~aLowerBoundOfIn0(_u105, xP, xU) )).
% 0.20/0.43 cnf(matrix-178, plain, ( aInfimumOfIn0(xp, xP, xU) )).
% 0.20/0.43 cnf(matrix-179, plain, ( ~aElementOf0(_u106, xP) | sdtlseqdt0(sdtlpdtrp0(xf, xp), _u106) )).
% 0.20/0.43 cnf(matrix-180, plain, ( aLowerBoundOfIn0(sdtlpdtrp0(xf, xp), xP, xU) )).
% 0.20/0.43 cnf(matrix-181, plain, ( ~aElementOf0(_u107, xT) | sdtlseqdt0(_u107, sdtlpdtrp0(xf, xp)) )).
% 0.20/0.43 cnf(matrix-182, plain, ( aUpperBoundOfIn0(sdtlpdtrp0(xf, xp), xT, xU) )).
% 0.20/0.43 cnf(matrix-183, plain, ( aElementOf0(xp, szDzozmdt0(xf)) )).
% 0.20/0.43 cnf(matrix-184, plain, ( ( sdtlpdtrp0(xf, xp) = xp) )).
% 0.20/0.43 cnf(matrix-185, plain, ( aFixedPointOf0(xp, xf) )).
% 0.20/0.43 cnf(matrix-186, plain, ( ~aElementOf0(_u108, xT) | sdtlseqdt0(_u108, xp) )).
% 0.20/0.43 cnf(matrix-187, plain, ( aUpperBoundOfIn0(xp, xT, xS) )).
% 0.20/0.43 cnf(matrix-188, plain, ( sdtlseqdt0(xp, _u110) | ~aElementOf0(_u110, xS) | aElementOf0(skolem19(_u110), xT) )).
% 0.20/0.43 cnf(matrix-189, plain, ( sdtlseqdt0(xp, _u110) | ~aElementOf0(_u110, xS) | ~sdtlseqdt0(skolem19(_u110), _u110) )).
% 0.20/0.43 cnf(matrix-190, plain, ( sdtlseqdt0(xp, _u110) | ~aUpperBoundOfIn0(_u110, xT, xS) )).
% 0.20/0.43 cnf(matrix-191, plain, ( aSupremumOfIn0(xp, xT, xS) )).
% 0.20/0.43 cnf(matrix-192, plain, ( ~aElementOf0(_u114, xS) | ~_def1(_u114) | ~_def2(_u114, _u112) )).
% 0.20/0.43 cnf(matrix-193, plain, ( ~aSupremumOfIn0(_u114, xT, xS) )).
% 0.20/0.43 cnf(matrix-194, plain, ( _def1(_u114) | ~aElementOf0(_u114, xS) | ~_def0(_u114) )).
% 0.20/0.43 cnf(matrix-195, plain, ( _def1(_u114) | ~aUpperBoundOfIn0(_u114, xT, xS) )).
% 0.20/0.43 cnf(matrix-196, plain, ( _def0(_u114) | aElementOf0(skolem20(_u114), xT) )).
% 0.20/0.43 cnf(matrix-197, plain, ( _def0(_u114) | ~sdtlseqdt0(skolem20(_u114), _u114) )).
% 0.20/0.43 cnf(matrix-198, plain, ( _def2(_u114, _u112) | aElementOf0(skolem21(_u114), xS) )).
% 0.20/0.43 cnf(matrix-199, plain, ( _def2(_u114, _u112) | ~aElementOf0(_u112, xT) | sdtlseqdt0(_u112, skolem21(_u114)) )).
% 0.20/0.43 cnf(matrix-200, plain, ( _def2(_u114, _u112) | aUpperBoundOfIn0(skolem21(_u114), xT, xS) )).
% 0.20/0.43 cnf(matrix-201, plain, ( _def2(_u114, _u112) | ~sdtlseqdt0(_u114, skolem21(_u114)) )).
% 0.20/0.43
% 0.20/0.43 % Proof stack:
% 0.20/0.43 cnf(proof-stack, plain,
% 0.20/0.43 proof_stack(
% 0.20/0.43 start(193),
% 0.20/0.43 left_branch(0, 191, 0, 2),
% 0.20/0.43 right_branch(2)
% 0.20/0.43 )).
% 0.20/0.43 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------