TSTP Solution File: RNG124+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : RNG124+1 : 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 : n014.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 14:30:07 EDT 2024
% Result : Unknown 29.59s 29.82s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 00:02:00 EDT 2024
% 0.12/0.34 % CPUTime :
% 29.59/29.82 % SZS status ContradictoryAxioms for theBenchmark
% 29.59/29.82 % SZS output start Proof for theBenchmark
% 29.59/29.82
% 29.59/29.82 % Formula: mElmSort ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mElmSort, axiom, $true).
% 29.59/29.82
% 29.59/29.82 % Formula: mSortsC ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSortsC-1, axiom, ( aElement0(sz00) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mSortsC_01 ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSortsC_01-1, axiom, ( aElement0(sz10) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mSortsU ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSortsU-1, axiom, ( ~aElement0(_u1) | aElement0(smndt0(_u1)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mSortsB ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSortsB-1, axiom, ( ~aElement0(_u3) | ~aElement0(_u2) | aElement0(sdtpldt0(_u3, _u2)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mSortsB_02 ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSortsB_02-1, axiom, ( ~aElement0(_u5) | ~aElement0(_u4) | aElement0(sdtasdt0(_u5, _u4)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mAddComm ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mAddComm-1, axiom, ( ~aElement0(_u7) | ~aElement0(_u6) | ( sdtpldt0(_u7, _u6) = sdtpldt0(_u6, _u7)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mAddAsso ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mAddAsso-1, axiom, ( ~aElement0(_u10) | ~aElement0(_u9) | ~aElement0(_u8) | ( sdtpldt0(sdtpldt0(_u10, _u9), _u8) = sdtpldt0(_u10, sdtpldt0(_u9, _u8))) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mAddZero ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mAddZero-1, axiom, ( ~aElement0(_u11) | ( sdtpldt0(_u11, sz00) = _u11) )).
% 29.59/29.82 cnf(mAddZero-2, axiom, ( ~aElement0(_u11) | ( _u11 = sdtpldt0(sz00, _u11)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mAddInvr ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mAddInvr-1, axiom, ( ~aElement0(_u12) | ( sdtpldt0(_u12, smndt0(_u12)) = sz00) )).
% 29.59/29.82 cnf(mAddInvr-2, axiom, ( ~aElement0(_u12) | ( sz00 = sdtpldt0(smndt0(_u12), _u12)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mMulComm ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mMulComm-1, axiom, ( ~aElement0(_u14) | ~aElement0(_u13) | ( sdtasdt0(_u14, _u13) = sdtasdt0(_u13, _u14)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mMulAsso ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mMulAsso-1, axiom, ( ~aElement0(_u17) | ~aElement0(_u16) | ~aElement0(_u15) | ( sdtasdt0(sdtasdt0(_u17, _u16), _u15) = sdtasdt0(_u17, sdtasdt0(_u16, _u15))) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mMulUnit ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mMulUnit-1, axiom, ( ~aElement0(_u18) | ( sdtasdt0(_u18, sz10) = _u18) )).
% 29.59/29.82 cnf(mMulUnit-2, axiom, ( ~aElement0(_u18) | ( _u18 = sdtasdt0(sz10, _u18)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mAMDistr ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mAMDistr-1, axiom, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(_u21, sdtpldt0(_u20, _u19)) = sdtpldt0(sdtasdt0(_u21, _u20), sdtasdt0(_u21, _u19))) )).
% 29.59/29.82 cnf(mAMDistr-2, axiom, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(sdtpldt0(_u20, _u19), _u21) = sdtpldt0(sdtasdt0(_u20, _u21), sdtasdt0(_u19, _u21))) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mMulMnOne ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mMulMnOne-1, axiom, ( ~aElement0(_u22) | ( sdtasdt0(smndt0(sz10), _u22) = smndt0(_u22)) )).
% 29.59/29.82 cnf(mMulMnOne-2, axiom, ( ~aElement0(_u22) | ( smndt0(_u22) = sdtasdt0(_u22, smndt0(sz10))) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mMulZero ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mMulZero-1, axiom, ( ~aElement0(_u23) | ( sdtasdt0(_u23, sz00) = sz00) )).
% 29.59/29.82 cnf(mMulZero-2, axiom, ( ~aElement0(_u23) | ( sz00 = sdtasdt0(sz00, _u23)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mCancel ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mCancel-1, axiom, ( ~aElement0(_u25) | ~aElement0(_u24) | ( sdtasdt0(_u25, _u24) != sz00) | ( _u25 = sz00) | ( _u24 = sz00) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mUnNeZr ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mUnNeZr-1, axiom, ( ( sz10 != sz00) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mSetSort ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSetSort, axiom, $true).
% 29.59/29.82
% 29.59/29.82 % Formula: mEOfElem ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mEOfElem-1, axiom, ( ~aSet0(_u28) | ~aElementOf0(_u27, _u28) | aElement0(_u27) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mSetEq ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mSetEq-1, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 29.59/29.82 cnf(mSetEq-2, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 29.59/29.82 cnf(mSetEq-3, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 29.59/29.82 cnf(mSetEq-4, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefSSum ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefSSum-1, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | aSet0(_u50) )).
% 29.59/29.82 cnf(mDefSSum-2, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem3(_u45, _u44, _u50, _u46), _u45) )).
% 29.59/29.82 cnf(mDefSSum-3, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem4(_u45, _u44, _u50, _u46), _u44) )).
% 29.59/29.82 cnf(mDefSSum-4, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | ( sdtpldt0(skolem3(_u45, _u44, _u50, _u46), skolem4(_u45, _u44, _u50, _u46)) = _u46) )).
% 29.59/29.82 cnf(mDefSSum-5, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u36, _u45) | ~aElementOf0(_u35, _u44) | ( sdtpldt0(_u36, _u35) != _u47) | aElementOf0(_u47, _u50) )).
% 29.59/29.82 cnf(mDefSSum-6, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | aElementOf0(skolem7(_u45, _u44, _u51), _u45) )).
% 29.59/29.82 cnf(mDefSSum-7, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | aElementOf0(skolem8(_u45, _u44, _u51), _u44) )).
% 29.59/29.82 cnf(mDefSSum-8, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | ( sdtpldt0(skolem7(_u45, _u44, _u51), skolem8(_u45, _u44, _u51)) = skolem6(_u45, _u44, _u51)) )).
% 29.59/29.82 cnf(mDefSSum-9, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | ~aElementOf0(skolem6(_u45, _u44, _u51), _u51) )).
% 29.59/29.82 cnf(mDefSSum-10, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | aElementOf0(skolem7(_u45, _u44, _u51), _u45) )).
% 29.59/29.82 cnf(mDefSSum-11, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | aElementOf0(skolem8(_u45, _u44, _u51), _u44) )).
% 29.59/29.82 cnf(mDefSSum-12, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | ( sdtpldt0(skolem7(_u45, _u44, _u51), skolem8(_u45, _u44, _u51)) = skolem6(_u45, _u44, _u51)) )).
% 29.59/29.82 cnf(mDefSSum-13, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | ~aElementOf0(skolem6(_u45, _u44, _u51), _u51) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefSInt ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefSInt-1, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | aSet0(_u61) )).
% 29.59/29.82 cnf(mDefSInt-2, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u56) )).
% 29.59/29.82 cnf(mDefSInt-3, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u55) )).
% 29.59/29.82 cnf(mDefSInt-4, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u58, _u56) | ~aElementOf0(_u58, _u55) | aElementOf0(_u58, _u61) )).
% 29.59/29.82 cnf(mDefSInt-5, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | aElementOf0(skolem10(_u56, _u55, _u62), _u56) )).
% 29.59/29.82 cnf(mDefSInt-6, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | aElementOf0(skolem10(_u56, _u55, _u62), _u55) )).
% 29.59/29.82 cnf(mDefSInt-7, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | ~aElementOf0(skolem10(_u56, _u55, _u62), _u62) )).
% 29.59/29.82 cnf(mDefSInt-8, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u56) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u55) | aElementOf0(skolem10(_u56, _u55, _u62), _u56) )).
% 29.59/29.82 cnf(mDefSInt-9, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u56) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u55) | aElementOf0(skolem10(_u56, _u55, _u62), _u55) )).
% 29.59/29.82 cnf(mDefSInt-10, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u56) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u55) | ~aElementOf0(skolem10(_u56, _u55, _u62), _u62) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefIdeal ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefIdeal-1, definition, ( ~aIdeal0(_u70) | aSet0(_u70) )).
% 29.59/29.82 cnf(mDefIdeal-2, definition, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElementOf0(_u63, _u70) | aElementOf0(sdtpldt0(_u65, _u63), _u70) )).
% 29.59/29.82 cnf(mDefIdeal-3, definition, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElement0(_u64) | aElementOf0(sdtasdt0(_u64, _u65), _u70) )).
% 29.59/29.82 cnf(mDefIdeal-4, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem11(_u71), _u71) )).
% 29.59/29.82 cnf(mDefIdeal-5, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | aElement0(skolem13(_u71)) )).
% 29.59/29.82 cnf(mDefIdeal-6, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 29.59/29.82 cnf(mDefIdeal-7, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | aElement0(skolem13(_u71)) )).
% 29.59/29.82 cnf(mDefIdeal-8, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mIdeSum ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mIdeSum-1, axiom, ( ~aIdeal0(_u73) | ~aIdeal0(_u72) | aIdeal0(sdtpldt1(_u73, _u72)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mIdeInt ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mIdeInt-1, axiom, ( ~aIdeal0(_u75) | ~aIdeal0(_u74) | aIdeal0(sdtasasdt0(_u75, _u74)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefMod ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefMod-1, definition, ( ~aElement0(_u78) | ~aElement0(_u77) | ~aIdeal0(_u76) | ~sdteqdtlpzmzozddtrp0(_u78, _u77, _u76) | aElementOf0(sdtpldt0(_u78, smndt0(_u77)), _u76) )).
% 29.59/29.82 cnf(mDefMod-2, definition, ( ~aElement0(_u78) | ~aElement0(_u77) | ~aIdeal0(_u76) | ~aElementOf0(sdtpldt0(_u78, smndt0(_u77)), _u76) | sdteqdtlpzmzozddtrp0(_u78, _u77, _u76) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mChineseRemainder ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mChineseRemainder-1, axiom, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | aElement0(skolem14(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | aElement0(skolem15(_u84, _u83, _u82, _u81)) )).
% 29.59/29.82 cnf(mChineseRemainder-2, axiom, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | aElement0(skolem14(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u82, _u84) )).
% 29.59/29.82 cnf(mChineseRemainder-3, axiom, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | aElement0(skolem14(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u81, _u83) )).
% 29.59/29.82 cnf(mChineseRemainder-4, axiom, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | ~aElementOf0(skolem14(_u84, _u83), sdtpldt1(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | aElement0(skolem15(_u84, _u83, _u82, _u81)) )).
% 29.59/29.82 cnf(mChineseRemainder-5, axiom, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | ~aElementOf0(skolem14(_u84, _u83), sdtpldt1(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u82, _u84) )).
% 29.59/29.82 cnf(mChineseRemainder-6, axiom, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | ~aElementOf0(skolem14(_u84, _u83), sdtpldt1(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u81, _u83) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mNatSort ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mNatSort, axiom, $true).
% 29.59/29.82
% 29.59/29.82 % Formula: mEucSort ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mEucSort-1, axiom, ( ~aElement0(_u86) | ( _u86 = sz00) | aNaturalNumber0(sbrdtbr0(_u86)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mNatLess ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mNatLess, axiom, $true).
% 29.59/29.82
% 29.59/29.82 % Formula: mDivision ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mDivision-1, axiom, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | aElement0(skolem16(_u92, _u91)) )).
% 29.59/29.82 cnf(mDivision-2, axiom, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | aElement0(skolem17(_u92, _u91)) )).
% 29.59/29.82 cnf(mDivision-3, axiom, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | ( _u92 = sdtpldt0(sdtasdt0(skolem16(_u92, _u91), _u91), skolem17(_u92, _u91))) )).
% 29.59/29.82 cnf(mDivision-4, axiom, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | ( skolem17(_u92, _u91) = sz00) | iLess0(sbrdtbr0(skolem17(_u92, _u91)), sbrdtbr0(_u91)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefDiv ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefDiv-1, definition, ( ~aElement0(_u96) | ~aElement0(_u95) | ~doDivides0(_u96, _u95) | aElement0(skolem18(_u96, _u95)) )).
% 29.59/29.82 cnf(mDefDiv-2, definition, ( ~aElement0(_u96) | ~aElement0(_u95) | ~doDivides0(_u96, _u95) | ( sdtasdt0(_u96, skolem18(_u96, _u95)) = _u95) )).
% 29.59/29.82 cnf(mDefDiv-3, definition, ( ~aElement0(_u96) | ~aElement0(_u95) | ~aElement0(_u94) | ( sdtasdt0(_u96, _u94) != _u95) | doDivides0(_u96, _u95) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefDvs ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefDvs-1, definition, ( ~aElement0(_u98) | ~aDivisorOf0(_u99, _u98) | aElement0(_u99) )).
% 29.59/29.82 cnf(mDefDvs-2, definition, ( ~aElement0(_u98) | ~aDivisorOf0(_u99, _u98) | doDivides0(_u99, _u98) )).
% 29.59/29.82 cnf(mDefDvs-3, definition, ( ~aElement0(_u98) | ~aElement0(_u100) | ~doDivides0(_u100, _u98) | aDivisorOf0(_u100, _u98) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefGCD ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefGCD-1, definition, ( ~aElement0(_u105) | ~aElement0(_u104) | ~aGcdOfAnd0(_u106, _u105, _u104) | aDivisorOf0(_u106, _u105) )).
% 29.59/29.82 cnf(mDefGCD-2, definition, ( ~aElement0(_u105) | ~aElement0(_u104) | ~aGcdOfAnd0(_u106, _u105, _u104) | aDivisorOf0(_u106, _u104) )).
% 29.59/29.82 cnf(mDefGCD-3, definition, ( ~aElement0(_u105) | ~aElement0(_u104) | ~aGcdOfAnd0(_u106, _u105, _u104) | ~aDivisorOf0(_u101, _u105) | ~aDivisorOf0(_u101, _u104) | doDivides0(_u101, _u106) )).
% 29.59/29.82 cnf(mDefGCD-4, definition, ( ~aElement0(_u105) | ~aElement0(_u104) | aGcdOfAnd0(_u107, _u105, _u104) | ~aDivisorOf0(_u107, _u105) | ~aDivisorOf0(_u107, _u104) | aDivisorOf0(skolem19(_u105, _u104, _u107), _u105) )).
% 29.59/29.82 cnf(mDefGCD-5, definition, ( ~aElement0(_u105) | ~aElement0(_u104) | aGcdOfAnd0(_u107, _u105, _u104) | ~aDivisorOf0(_u107, _u105) | ~aDivisorOf0(_u107, _u104) | aDivisorOf0(skolem19(_u105, _u104, _u107), _u104) )).
% 29.59/29.82 cnf(mDefGCD-6, definition, ( ~aElement0(_u105) | ~aElement0(_u104) | aGcdOfAnd0(_u107, _u105, _u104) | ~aDivisorOf0(_u107, _u105) | ~aDivisorOf0(_u107, _u104) | ~doDivides0(skolem19(_u105, _u104, _u107), _u107) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefRel ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefRel-1, definition, ( ~aElement0(_u109) | ~aElement0(_u108) | ~misRelativelyPrime0(_u109, _u108) | aGcdOfAnd0(sz10, _u109, _u108) )).
% 29.59/29.82 cnf(mDefRel-2, definition, ( ~aElement0(_u109) | ~aElement0(_u108) | ~aGcdOfAnd0(sz10, _u109, _u108) | misRelativelyPrime0(_u109, _u108) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mDefPrIdeal ( definition ) converted to clauses:
% 29.59/29.82 cnf(mDefPrIdeal-1, definition, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | aSet0(_u122) )).
% 29.59/29.82 cnf(mDefPrIdeal-2, definition, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | ~aElementOf0(_u118, _u122) | aElement0(skolem20(_u117, _u122, _u118)) )).
% 29.59/29.82 cnf(mDefPrIdeal-3, definition, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | ~aElementOf0(_u118, _u122) | ( sdtasdt0(_u117, skolem20(_u117, _u122, _u118)) = _u118) )).
% 29.59/29.82 cnf(mDefPrIdeal-4, definition, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | ~aElement0(_u111) | ( sdtasdt0(_u117, _u111) != _u119) | aElementOf0(_u119, _u122) )).
% 29.59/29.82 cnf(mDefPrIdeal-5, definition, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | aElementOf0(skolem21(_u117, _u123), _u123) | aElement0(skolem23(_u117, _u123)) )).
% 29.59/29.82 cnf(mDefPrIdeal-6, definition, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | aElementOf0(skolem21(_u117, _u123), _u123) | ( sdtasdt0(_u117, skolem23(_u117, _u123)) = skolem22(_u117, _u123)) )).
% 29.59/29.82 cnf(mDefPrIdeal-7, definition, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | aElementOf0(skolem21(_u117, _u123), _u123) | ~aElementOf0(skolem22(_u117, _u123), _u123) )).
% 29.59/29.82 cnf(mDefPrIdeal-8, definition, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | ~aElement0(_u113) | ( sdtasdt0(_u117, _u113) != skolem21(_u117, _u123)) | aElement0(skolem23(_u117, _u123)) )).
% 29.59/29.82 cnf(mDefPrIdeal-9, definition, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | ~aElement0(_u113) | ( sdtasdt0(_u117, _u113) != skolem21(_u117, _u123)) | ( sdtasdt0(_u117, skolem23(_u117, _u123)) = skolem22(_u117, _u123)) )).
% 29.59/29.82 cnf(mDefPrIdeal-10, definition, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | ~aElement0(_u113) | ( sdtasdt0(_u117, _u113) != skolem21(_u117, _u123)) | ~aElementOf0(skolem22(_u117, _u123), _u123) )).
% 29.59/29.82
% 29.59/29.82 % Formula: mPrIdeal ( axiom ) converted to clauses:
% 29.59/29.82 cnf(mPrIdeal-1, axiom, ( ~aElement0(_u124) | aIdeal0(slsdtgt0(_u124)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2091 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2091-1, hypothesis, ( aElement0(xa) )).
% 29.59/29.82 cnf(m__2091-2, hypothesis, ( aElement0(xb) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2110 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2110-1, hypothesis, ( ( xa != sz00) | ( xb != sz00) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2129 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2129-1, hypothesis, ( aGcdOfAnd0(xc, xa, xb) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2174 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2174-1, hypothesis, ( aIdeal0(xI) )).
% 29.59/29.82 cnf(m__2174-2, hypothesis, ( ( xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2203 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2203-1, hypothesis, ( aElementOf0(sz00, slsdtgt0(xa)) )).
% 29.59/29.82 cnf(m__2203-2, hypothesis, ( aElementOf0(xa, slsdtgt0(xa)) )).
% 29.59/29.82 cnf(m__2203-3, hypothesis, ( aElementOf0(sz00, slsdtgt0(xb)) )).
% 29.59/29.82 cnf(m__2203-4, hypothesis, ( aElementOf0(xb, slsdtgt0(xb)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2228 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2228-1, hypothesis, ( aElementOf0(skolem24, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))) )).
% 29.59/29.82 cnf(m__2228-2, hypothesis, ( ( skolem24 != sz00) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2273 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2273-1, hypothesis, ( aElementOf0(xu, xI) )).
% 29.59/29.82 cnf(m__2273-2, hypothesis, ( ( xu != sz00) )).
% 29.59/29.82 cnf(m__2273-3, hypothesis, ( ~aElementOf0(_u126, xI) | ( _u126 = sz00) | ~iLess0(sbrdtbr0(_u126), sbrdtbr0(xu)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2383 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2383-1, hypothesis, ( ~aDivisorOf0(xu, xa) | ~aDivisorOf0(xu, xb) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2416 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2416-1, hypothesis, ( aElement0(skolem25) )).
% 29.59/29.82 cnf(m__2416-2, hypothesis, ( aElement0(skolem26) )).
% 29.59/29.82 cnf(m__2416-3, hypothesis, ( ( xu = sdtpldt0(sdtasdt0(xa, skolem25), sdtasdt0(xb, skolem26))) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2479 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2479-1, hypothesis, ( doDivides0(xu, xa) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2612 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2612-1, hypothesis, ( ~doDivides0(xu, xb) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2666 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2666-1, hypothesis, ( aElement0(xq) )).
% 29.59/29.82 cnf(m__2666-2, hypothesis, ( aElement0(xr) )).
% 29.59/29.82 cnf(m__2666-3, hypothesis, ( ( xb = sdtpldt0(sdtasdt0(xq, xu), xr)) )).
% 29.59/29.82 cnf(m__2666-4, hypothesis, ( ( xr = sz00) | iLess0(sbrdtbr0(xr), sbrdtbr0(xu)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2673 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2673-1, hypothesis, ( ( xr != sz00) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2690 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2690-1, hypothesis, ( aElementOf0(smndt0(sdtasdt0(xq, xu)), xI) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2699 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2699-1, hypothesis, ( aElementOf0(xb, xI) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2718 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2718-1, hypothesis, ( ( xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb)) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__2729 ( hypothesis ) converted to clauses:
% 29.59/29.82 cnf(m__2729-1, hypothesis, ( aElementOf0(xr, xI) )).
% 29.59/29.82
% 29.59/29.82 % Formula: m__ ( conjecture ) (definitionally) converted to clauses:
% 29.59/29.82 cnf(m__, negated_conjecture, $true).
% 29.59/29.82
% 29.59/29.82 % Problem matrix:
% 29.59/29.82 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 29.59/29.82 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 29.59/29.82 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 29.59/29.82 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( smndt0(__eqx_0) = smndt0(__eqy_0)) )).
% 29.59/29.82 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtpldt0(__eqx_0, __eqx_1) = sdtpldt0(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtasdt0(__eqx_0, __eqx_1) = sdtasdt0(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtpldt1(__eqx_0, __eqx_1) = sdtpldt1(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtasasdt0(__eqx_0, __eqx_1) = sdtasasdt0(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( sbrdtbr0(__eqx_0) = sbrdtbr0(__eqy_0)) )).
% 29.59/29.82 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( slsdtgt0(__eqx_0) = slsdtgt0(__eqy_0)) )).
% 29.59/29.82 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem3(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem3(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.59/29.82 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.59/29.82 cnf(matrix-14, 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)) )).
% 29.59/29.82 cnf(matrix-15, 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)) )).
% 29.59/29.82 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.59/29.82 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.59/29.82 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.59/29.82 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem10(__eqx_0, __eqx_1, __eqx_2) = skolem10(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.59/29.82 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 29.59/29.82 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 29.59/29.82 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 29.59/29.82 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 29.59/29.82 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem19(__eqx_0, __eqx_1, __eqx_2) = skolem19(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.59/29.82 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem20(__eqx_0, __eqx_1, __eqx_2) = skolem20(__eqy_0, __eqy_1, __eqy_2)) )).
% 29.59/29.82 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem21(__eqx_0, __eqx_1) = skolem21(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem22(__eqx_0, __eqx_1) = skolem22(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem23(__eqx_0, __eqx_1) = skolem23(__eqy_0, __eqy_1)) )).
% 29.59/29.82 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~aElement0(__eqx_0) | aElement0(__eqy_0) )).
% 29.59/29.82 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~aSet0(__eqx_0) | aSet0(__eqy_0) )).
% 29.59/29.82 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~aElementOf0(__eqx_0, __eqx_1) | aElementOf0(__eqy_0, __eqy_1) )).
% 29.59/29.82 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~aIdeal0(__eqx_0) | aIdeal0(__eqy_0) )).
% 29.59/29.82 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~sdteqdtlpzmzozddtrp0(__eqx_0, __eqx_1, __eqx_2) | sdteqdtlpzmzozddtrp0(__eqy_0, __eqy_1, __eqy_2) )).
% 29.59/29.82 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ~aNaturalNumber0(__eqx_0) | aNaturalNumber0(__eqy_0) )).
% 29.59/29.82 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~iLess0(__eqx_0, __eqx_1) | iLess0(__eqy_0, __eqy_1) )).
% 29.59/29.82 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~doDivides0(__eqx_0, __eqx_1) | doDivides0(__eqy_0, __eqy_1) )).
% 29.59/29.82 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~aDivisorOf0(__eqx_0, __eqx_1) | aDivisorOf0(__eqy_0, __eqy_1) )).
% 29.59/29.82 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~aGcdOfAnd0(__eqx_0, __eqx_1, __eqx_2) | aGcdOfAnd0(__eqy_0, __eqy_1, __eqy_2) )).
% 29.59/29.82 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~misRelativelyPrime0(__eqx_0, __eqx_1) | misRelativelyPrime0(__eqy_0, __eqy_1) )).
% 29.59/29.82 cnf(matrix-44, plain, ( aElement0(sz00) )).
% 29.59/29.82 cnf(matrix-45, plain, ( aElement0(sz10) )).
% 29.59/29.82 cnf(matrix-46, plain, ( ~aElement0(_u1) | aElement0(smndt0(_u1)) )).
% 29.59/29.82 cnf(matrix-47, plain, ( ~aElement0(_u3) | ~aElement0(_u2) | aElement0(sdtpldt0(_u3, _u2)) )).
% 29.59/29.82 cnf(matrix-48, plain, ( ~aElement0(_u5) | ~aElement0(_u4) | aElement0(sdtasdt0(_u5, _u4)) )).
% 29.59/29.82 cnf(matrix-49, plain, ( ~aElement0(_u7) | ~aElement0(_u6) | ( sdtpldt0(_u7, _u6) = sdtpldt0(_u6, _u7)) )).
% 29.59/29.82 cnf(matrix-50, plain, ( ~aElement0(_u10) | ~aElement0(_u9) | ~aElement0(_u8) | ( sdtpldt0(sdtpldt0(_u10, _u9), _u8) = sdtpldt0(_u10, sdtpldt0(_u9, _u8))) )).
% 29.59/29.82 cnf(matrix-51, plain, ( ~aElement0(_u11) | ( sdtpldt0(_u11, sz00) = _u11) )).
% 29.59/29.82 cnf(matrix-52, plain, ( ~aElement0(_u11) | ( _u11 = sdtpldt0(sz00, _u11)) )).
% 29.59/29.82 cnf(matrix-53, plain, ( ~aElement0(_u12) | ( sdtpldt0(_u12, smndt0(_u12)) = sz00) )).
% 29.59/29.82 cnf(matrix-54, plain, ( ~aElement0(_u12) | ( sz00 = sdtpldt0(smndt0(_u12), _u12)) )).
% 29.59/29.82 cnf(matrix-55, plain, ( ~aElement0(_u14) | ~aElement0(_u13) | ( sdtasdt0(_u14, _u13) = sdtasdt0(_u13, _u14)) )).
% 29.59/29.82 cnf(matrix-56, plain, ( ~aElement0(_u17) | ~aElement0(_u16) | ~aElement0(_u15) | ( sdtasdt0(sdtasdt0(_u17, _u16), _u15) = sdtasdt0(_u17, sdtasdt0(_u16, _u15))) )).
% 29.59/29.82 cnf(matrix-57, plain, ( ~aElement0(_u18) | ( sdtasdt0(_u18, sz10) = _u18) )).
% 29.59/29.82 cnf(matrix-58, plain, ( ~aElement0(_u18) | ( _u18 = sdtasdt0(sz10, _u18)) )).
% 29.59/29.82 cnf(matrix-59, plain, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(_u21, sdtpldt0(_u20, _u19)) = sdtpldt0(sdtasdt0(_u21, _u20), sdtasdt0(_u21, _u19))) )).
% 29.59/29.82 cnf(matrix-60, plain, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(sdtpldt0(_u20, _u19), _u21) = sdtpldt0(sdtasdt0(_u20, _u21), sdtasdt0(_u19, _u21))) )).
% 29.59/29.82 cnf(matrix-61, plain, ( ~aElement0(_u22) | ( sdtasdt0(smndt0(sz10), _u22) = smndt0(_u22)) )).
% 29.59/29.82 cnf(matrix-62, plain, ( ~aElement0(_u22) | ( smndt0(_u22) = sdtasdt0(_u22, smndt0(sz10))) )).
% 29.59/29.82 cnf(matrix-63, plain, ( ~aElement0(_u23) | ( sdtasdt0(_u23, sz00) = sz00) )).
% 29.59/29.82 cnf(matrix-64, plain, ( ~aElement0(_u23) | ( sz00 = sdtasdt0(sz00, _u23)) )).
% 29.59/29.82 cnf(matrix-65, plain, ( ~aElement0(_u25) | ~aElement0(_u24) | ( sdtasdt0(_u25, _u24) != sz00) | ( _u25 = sz00) | ( _u24 = sz00) )).
% 29.59/29.82 cnf(matrix-66, plain, ( ( sz10 != sz00) )).
% 29.59/29.82 cnf(matrix-67, plain, ( ~aSet0(_u28) | ~aElementOf0(_u27, _u28) | aElement0(_u27) )).
% 29.59/29.82 cnf(matrix-68, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 29.59/29.82 cnf(matrix-69, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 29.59/29.82 cnf(matrix-70, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 29.59/29.82 cnf(matrix-71, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 29.59/29.82 cnf(matrix-72, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | aSet0(_u50) )).
% 29.59/29.82 cnf(matrix-73, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem3(_u45, _u44, _u50, _u46), _u45) )).
% 29.59/29.82 cnf(matrix-74, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem4(_u45, _u44, _u50, _u46), _u44) )).
% 29.59/29.82 cnf(matrix-75, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | ( sdtpldt0(skolem3(_u45, _u44, _u50, _u46), skolem4(_u45, _u44, _u50, _u46)) = _u46) )).
% 29.59/29.82 cnf(matrix-76, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u36, _u45) | ~aElementOf0(_u35, _u44) | ( sdtpldt0(_u36, _u35) != _u47) | aElementOf0(_u47, _u50) )).
% 29.59/29.82 cnf(matrix-77, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | aElementOf0(skolem7(_u45, _u44, _u51), _u45) )).
% 29.59/29.82 cnf(matrix-78, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | aElementOf0(skolem8(_u45, _u44, _u51), _u44) )).
% 29.59/29.82 cnf(matrix-79, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | ( sdtpldt0(skolem7(_u45, _u44, _u51), skolem8(_u45, _u44, _u51)) = skolem6(_u45, _u44, _u51)) )).
% 29.59/29.82 cnf(matrix-80, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | ~aElementOf0(skolem6(_u45, _u44, _u51), _u51) )).
% 29.59/29.82 cnf(matrix-81, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | aElementOf0(skolem7(_u45, _u44, _u51), _u45) )).
% 29.59/29.82 cnf(matrix-82, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | aElementOf0(skolem8(_u45, _u44, _u51), _u44) )).
% 29.59/29.82 cnf(matrix-83, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | ( sdtpldt0(skolem7(_u45, _u44, _u51), skolem8(_u45, _u44, _u51)) = skolem6(_u45, _u44, _u51)) )).
% 29.59/29.82 cnf(matrix-84, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | ~aElementOf0(_u39, _u45) | ~aElementOf0(_u38, _u44) | ( sdtpldt0(_u39, _u38) != skolem5(_u45, _u44, _u51)) | ~aElementOf0(skolem6(_u45, _u44, _u51), _u51) )).
% 29.59/29.82 cnf(matrix-85, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | aSet0(_u61) )).
% 29.59/29.82 cnf(matrix-86, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u56) )).
% 29.59/29.82 cnf(matrix-87, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u55) )).
% 29.59/29.82 cnf(matrix-88, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u58, _u56) | ~aElementOf0(_u58, _u55) | aElementOf0(_u58, _u61) )).
% 29.59/29.82 cnf(matrix-89, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | aElementOf0(skolem10(_u56, _u55, _u62), _u56) )).
% 29.59/29.82 cnf(matrix-90, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | aElementOf0(skolem10(_u56, _u55, _u62), _u55) )).
% 29.59/29.82 cnf(matrix-91, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | ~aElementOf0(skolem10(_u56, _u55, _u62), _u62) )).
% 29.59/29.82 cnf(matrix-92, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u56) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u55) | aElementOf0(skolem10(_u56, _u55, _u62), _u56) )).
% 29.59/29.82 cnf(matrix-93, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u56) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u55) | aElementOf0(skolem10(_u56, _u55, _u62), _u55) )).
% 29.59/29.82 cnf(matrix-94, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u56) | ~aElementOf0(skolem9(_u56, _u55, _u62), _u55) | ~aElementOf0(skolem10(_u56, _u55, _u62), _u62) )).
% 29.59/29.82 cnf(matrix-95, plain, ( ~aIdeal0(_u70) | aSet0(_u70) )).
% 29.59/29.82 cnf(matrix-96, plain, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElementOf0(_u63, _u70) | aElementOf0(sdtpldt0(_u65, _u63), _u70) )).
% 29.59/29.82 cnf(matrix-97, plain, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElement0(_u64) | aElementOf0(sdtasdt0(_u64, _u65), _u70) )).
% 29.59/29.82 cnf(matrix-98, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem11(_u71), _u71) )).
% 29.59/29.82 cnf(matrix-99, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | aElement0(skolem13(_u71)) )).
% 29.59/29.82 cnf(matrix-100, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 29.59/29.82 cnf(matrix-101, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | aElement0(skolem13(_u71)) )).
% 29.59/29.82 cnf(matrix-102, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 29.59/29.82 cnf(matrix-103, plain, ( ~aIdeal0(_u73) | ~aIdeal0(_u72) | aIdeal0(sdtpldt1(_u73, _u72)) )).
% 29.59/29.82 cnf(matrix-104, plain, ( ~aIdeal0(_u75) | ~aIdeal0(_u74) | aIdeal0(sdtasasdt0(_u75, _u74)) )).
% 29.59/29.82 cnf(matrix-105, plain, ( ~aElement0(_u78) | ~aElement0(_u77) | ~aIdeal0(_u76) | ~sdteqdtlpzmzozddtrp0(_u78, _u77, _u76) | aElementOf0(sdtpldt0(_u78, smndt0(_u77)), _u76) )).
% 29.59/29.82 cnf(matrix-106, plain, ( ~aElement0(_u78) | ~aElement0(_u77) | ~aIdeal0(_u76) | ~aElementOf0(sdtpldt0(_u78, smndt0(_u77)), _u76) | sdteqdtlpzmzozddtrp0(_u78, _u77, _u76) )).
% 29.59/29.82 cnf(matrix-107, plain, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | aElement0(skolem14(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | aElement0(skolem15(_u84, _u83, _u82, _u81)) )).
% 29.59/29.82 cnf(matrix-108, plain, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | aElement0(skolem14(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u82, _u84) )).
% 29.59/29.82 cnf(matrix-109, plain, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | aElement0(skolem14(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u81, _u83) )).
% 29.59/29.82 cnf(matrix-110, plain, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | ~aElementOf0(skolem14(_u84, _u83), sdtpldt1(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | aElement0(skolem15(_u84, _u83, _u82, _u81)) )).
% 29.59/29.82 cnf(matrix-111, plain, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | ~aElementOf0(skolem14(_u84, _u83), sdtpldt1(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u82, _u84) )).
% 29.59/29.82 cnf(matrix-112, plain, ( ~aIdeal0(_u84) | ~aIdeal0(_u83) | ~aElementOf0(skolem14(_u84, _u83), sdtpldt1(_u84, _u83)) | ~aElement0(_u82) | ~aElement0(_u81) | sdteqdtlpzmzozddtrp0(skolem15(_u84, _u83, _u82, _u81), _u81, _u83) )).
% 29.59/29.82 cnf(matrix-113, plain, ( ~aElement0(_u86) | ( _u86 = sz00) | aNaturalNumber0(sbrdtbr0(_u86)) )).
% 29.59/29.82 cnf(matrix-114, plain, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | aElement0(skolem16(_u92, _u91)) )).
% 29.59/29.82 cnf(matrix-115, plain, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | aElement0(skolem17(_u92, _u91)) )).
% 29.59/29.82 cnf(matrix-116, plain, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | ( _u92 = sdtpldt0(sdtasdt0(skolem16(_u92, _u91), _u91), skolem17(_u92, _u91))) )).
% 29.59/29.82 cnf(matrix-117, plain, ( ~aElement0(_u92) | ~aElement0(_u91) | ( _u91 = sz00) | ( skolem17(_u92, _u91) = sz00) | iLess0(sbrdtbr0(skolem17(_u92, _u91)), sbrdtbr0(_u91)) )).
% 29.59/29.82 cnf(matrix-118, plain, ( ~aElement0(_u96) | ~aElement0(_u95) | ~doDivides0(_u96, _u95) | aElement0(skolem18(_u96, _u95)) )).
% 29.59/29.82 cnf(matrix-119, plain, ( ~aElement0(_u96) | ~aElement0(_u95) | ~doDivides0(_u96, _u95) | ( sdtasdt0(_u96, skolem18(_u96, _u95)) = _u95) )).
% 29.59/29.82 cnf(matrix-120, plain, ( ~aElement0(_u96) | ~aElement0(_u95) | ~aElement0(_u94) | ( sdtasdt0(_u96, _u94) != _u95) | doDivides0(_u96, _u95) )).
% 29.59/29.82 cnf(matrix-121, plain, ( ~aElement0(_u98) | ~aDivisorOf0(_u99, _u98) | aElement0(_u99) )).
% 29.59/29.82 cnf(matrix-122, plain, ( ~aElement0(_u98) | ~aDivisorOf0(_u99, _u98) | doDivides0(_u99, _u98) )).
% 29.59/29.82 cnf(matrix-123, plain, ( ~aElement0(_u98) | ~aElement0(_u100) | ~doDivides0(_u100, _u98) | aDivisorOf0(_u100, _u98) )).
% 29.59/29.82 cnf(matrix-124, plain, ( ~aElement0(_u105) | ~aElement0(_u104) | ~aGcdOfAnd0(_u106, _u105, _u104) | aDivisorOf0(_u106, _u105) )).
% 29.59/29.82 cnf(matrix-125, plain, ( ~aElement0(_u105) | ~aElement0(_u104) | ~aGcdOfAnd0(_u106, _u105, _u104) | aDivisorOf0(_u106, _u104) )).
% 29.59/29.82 cnf(matrix-126, plain, ( ~aElement0(_u105) | ~aElement0(_u104) | ~aGcdOfAnd0(_u106, _u105, _u104) | ~aDivisorOf0(_u101, _u105) | ~aDivisorOf0(_u101, _u104) | doDivides0(_u101, _u106) )).
% 29.59/29.82 cnf(matrix-127, plain, ( ~aElement0(_u105) | ~aElement0(_u104) | aGcdOfAnd0(_u107, _u105, _u104) | ~aDivisorOf0(_u107, _u105) | ~aDivisorOf0(_u107, _u104) | aDivisorOf0(skolem19(_u105, _u104, _u107), _u105) )).
% 29.59/29.82 cnf(matrix-128, plain, ( ~aElement0(_u105) | ~aElement0(_u104) | aGcdOfAnd0(_u107, _u105, _u104) | ~aDivisorOf0(_u107, _u105) | ~aDivisorOf0(_u107, _u104) | aDivisorOf0(skolem19(_u105, _u104, _u107), _u104) )).
% 29.59/29.82 cnf(matrix-129, plain, ( ~aElement0(_u105) | ~aElement0(_u104) | aGcdOfAnd0(_u107, _u105, _u104) | ~aDivisorOf0(_u107, _u105) | ~aDivisorOf0(_u107, _u104) | ~doDivides0(skolem19(_u105, _u104, _u107), _u107) )).
% 29.59/29.82 cnf(matrix-130, plain, ( ~aElement0(_u109) | ~aElement0(_u108) | ~misRelativelyPrime0(_u109, _u108) | aGcdOfAnd0(sz10, _u109, _u108) )).
% 29.59/29.82 cnf(matrix-131, plain, ( ~aElement0(_u109) | ~aElement0(_u108) | ~aGcdOfAnd0(sz10, _u109, _u108) | misRelativelyPrime0(_u109, _u108) )).
% 29.59/29.82 cnf(matrix-132, plain, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | aSet0(_u122) )).
% 29.59/29.82 cnf(matrix-133, plain, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | ~aElementOf0(_u118, _u122) | aElement0(skolem20(_u117, _u122, _u118)) )).
% 29.59/29.82 cnf(matrix-134, plain, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | ~aElementOf0(_u118, _u122) | ( sdtasdt0(_u117, skolem20(_u117, _u122, _u118)) = _u118) )).
% 29.59/29.82 cnf(matrix-135, plain, ( ~aElement0(_u117) | ( _u122 != slsdtgt0(_u117)) | ~aElement0(_u111) | ( sdtasdt0(_u117, _u111) != _u119) | aElementOf0(_u119, _u122) )).
% 29.59/29.82 cnf(matrix-136, plain, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | aElementOf0(skolem21(_u117, _u123), _u123) | aElement0(skolem23(_u117, _u123)) )).
% 29.59/29.82 cnf(matrix-137, plain, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | aElementOf0(skolem21(_u117, _u123), _u123) | ( sdtasdt0(_u117, skolem23(_u117, _u123)) = skolem22(_u117, _u123)) )).
% 29.59/29.82 cnf(matrix-138, plain, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | aElementOf0(skolem21(_u117, _u123), _u123) | ~aElementOf0(skolem22(_u117, _u123), _u123) )).
% 29.59/29.82 cnf(matrix-139, plain, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | ~aElement0(_u113) | ( sdtasdt0(_u117, _u113) != skolem21(_u117, _u123)) | aElement0(skolem23(_u117, _u123)) )).
% 29.59/29.82 cnf(matrix-140, plain, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | ~aElement0(_u113) | ( sdtasdt0(_u117, _u113) != skolem21(_u117, _u123)) | ( sdtasdt0(_u117, skolem23(_u117, _u123)) = skolem22(_u117, _u123)) )).
% 29.59/29.82 cnf(matrix-141, plain, ( ~aElement0(_u117) | ( _u123 = slsdtgt0(_u117)) | ~aSet0(_u123) | ~aElement0(_u113) | ( sdtasdt0(_u117, _u113) != skolem21(_u117, _u123)) | ~aElementOf0(skolem22(_u117, _u123), _u123) )).
% 29.59/29.82 cnf(matrix-142, plain, ( ~aElement0(_u124) | aIdeal0(slsdtgt0(_u124)) )).
% 29.59/29.82 cnf(matrix-143, plain, ( aElement0(xa) )).
% 29.59/29.82 cnf(matrix-144, plain, ( aElement0(xb) )).
% 29.59/29.82 cnf(matrix-145, plain, ( ( xa != sz00) | ( xb != sz00) )).
% 29.59/29.82 cnf(matrix-146, plain, ( aGcdOfAnd0(xc, xa, xb) )).
% 29.59/29.82 cnf(matrix-147, plain, ( aIdeal0(xI) )).
% 29.59/29.82 cnf(matrix-148, plain, ( ( xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))) )).
% 29.59/29.82 cnf(matrix-149, plain, ( aElementOf0(sz00, slsdtgt0(xa)) )).
% 29.59/29.82 cnf(matrix-150, plain, ( aElementOf0(xa, slsdtgt0(xa)) )).
% 29.59/29.82 cnf(matrix-151, plain, ( aElementOf0(sz00, slsdtgt0(xb)) )).
% 29.59/29.82 cnf(matrix-152, plain, ( aElementOf0(xb, slsdtgt0(xb)) )).
% 29.59/29.82 cnf(matrix-153, plain, ( aElementOf0(skolem24, sdtpldt1(slsdtgt0(xa), slsdtgt0(xb))) )).
% 29.59/29.82 cnf(matrix-154, plain, ( ( skolem24 != sz00) )).
% 29.59/29.82 cnf(matrix-155, plain, ( aElementOf0(xu, xI) )).
% 29.59/29.82 cnf(matrix-156, plain, ( ( xu != sz00) )).
% 29.59/29.82 cnf(matrix-157, plain, ( ~aElementOf0(_u126, xI) | ( _u126 = sz00) | ~iLess0(sbrdtbr0(_u126), sbrdtbr0(xu)) )).
% 29.59/29.82 cnf(matrix-158, plain, ( ~aDivisorOf0(xu, xa) | ~aDivisorOf0(xu, xb) )).
% 29.59/29.82 cnf(matrix-159, plain, ( aElement0(skolem25) )).
% 29.59/29.82 cnf(matrix-160, plain, ( aElement0(skolem26) )).
% 29.59/29.82 cnf(matrix-161, plain, ( ( xu = sdtpldt0(sdtasdt0(xa, skolem25), sdtasdt0(xb, skolem26))) )).
% 29.59/29.82 cnf(matrix-162, plain, ( doDivides0(xu, xa) )).
% 29.59/29.82 cnf(matrix-163, plain, ( ~doDivides0(xu, xb) )).
% 29.59/29.82 cnf(matrix-164, plain, ( aElement0(xq) )).
% 29.59/29.82 cnf(matrix-165, plain, ( aElement0(xr) )).
% 29.59/29.82 cnf(matrix-166, plain, ( ( xb = sdtpldt0(sdtasdt0(xq, xu), xr)) )).
% 29.59/29.82 cnf(matrix-167, plain, ( ( xr = sz00) | iLess0(sbrdtbr0(xr), sbrdtbr0(xu)) )).
% 29.59/29.82 cnf(matrix-168, plain, ( ( xr != sz00) )).
% 29.59/29.82 cnf(matrix-169, plain, ( aElementOf0(smndt0(sdtasdt0(xq, xu)), xI) )).
% 29.59/29.82 cnf(matrix-170, plain, ( aElementOf0(xb, xI) )).
% 29.59/29.82 cnf(matrix-171, plain, ( ( xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb)) )).
% 29.59/29.82 cnf(matrix-172, plain, ( aElementOf0(xr, xI) )).
% 29.59/29.82
% 29.59/29.82 % Proof stack:
% 29.59/29.82 cnf(proof-stack, plain,
% 29.59/29.82 proof_stack(
% 29.59/29.82 start(168),
% 29.59/29.82 left_branch(0, 167, 0, 2),
% 29.59/29.82 left_branch(0, 157, 2, 3),
% 29.59/29.82 left_branch(0, 172, 0, 4),
% 29.59/29.82 right_branch(4),
% 29.59/29.82 reduction(0, 0),
% 29.59/29.82 right_branch(3),
% 29.59/29.82 right_branch(2)
% 29.59/29.82 )).
% 29.59/29.82 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------