TSTP Solution File: NUM530+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : NUM530+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 : n017.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 14:27:03 EDT 2024
% Result : Unknown 0.62s 0.81s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM530+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Mar 20 18:41:27 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.62/0.81 % SZS status ContradictoryAxioms for theBenchmark
% 0.62/0.81 % SZS output start Proof for theBenchmark
% 0.62/0.81
% 0.62/0.81 % Formula: mNatSort ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mNatSort, axiom, $true).
% 0.62/0.81
% 0.62/0.81 % Formula: mSortsC ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mSortsC-1, axiom, ( aNaturalNumber0(sz00) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mSortsC_01 ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mSortsC_01-1, axiom, ( aNaturalNumber0(sz10) )).
% 0.62/0.81 cnf(mSortsC_01-2, axiom, ( ( sz10 != sz00) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mSortsB ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mSortsB-1, axiom, ( ~aNaturalNumber0(_u2) | ~aNaturalNumber0(_u1) | aNaturalNumber0(sdtpldt0(_u2, _u1)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mSortsB_02 ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mSortsB_02-1, axiom, ( ~aNaturalNumber0(_u4) | ~aNaturalNumber0(_u3) | aNaturalNumber0(sdtasdt0(_u4, _u3)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mAddComm ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mAddComm-1, axiom, ( ~aNaturalNumber0(_u6) | ~aNaturalNumber0(_u5) | ( sdtpldt0(_u6, _u5) = sdtpldt0(_u5, _u6)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mAddAsso ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mAddAsso-1, axiom, ( ~aNaturalNumber0(_u9) | ~aNaturalNumber0(_u8) | ~aNaturalNumber0(_u7) | ( sdtpldt0(sdtpldt0(_u9, _u8), _u7) = sdtpldt0(_u9, sdtpldt0(_u8, _u7))) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m_AddZero ( axiom ) converted to clauses:
% 0.62/0.81 cnf(m_AddZero-1, axiom, ( ~aNaturalNumber0(_u10) | ( sdtpldt0(_u10, sz00) = _u10) )).
% 0.62/0.81 cnf(m_AddZero-2, axiom, ( ~aNaturalNumber0(_u10) | ( _u10 = sdtpldt0(sz00, _u10)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mMulComm ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mMulComm-1, axiom, ( ~aNaturalNumber0(_u12) | ~aNaturalNumber0(_u11) | ( sdtasdt0(_u12, _u11) = sdtasdt0(_u11, _u12)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mMulAsso ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mMulAsso-1, axiom, ( ~aNaturalNumber0(_u15) | ~aNaturalNumber0(_u14) | ~aNaturalNumber0(_u13) | ( sdtasdt0(sdtasdt0(_u15, _u14), _u13) = sdtasdt0(_u15, sdtasdt0(_u14, _u13))) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m_MulUnit ( axiom ) converted to clauses:
% 0.62/0.81 cnf(m_MulUnit-1, axiom, ( ~aNaturalNumber0(_u16) | ( sdtasdt0(_u16, sz10) = _u16) )).
% 0.62/0.81 cnf(m_MulUnit-2, axiom, ( ~aNaturalNumber0(_u16) | ( _u16 = sdtasdt0(sz10, _u16)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m_MulZero ( axiom ) converted to clauses:
% 0.62/0.81 cnf(m_MulZero-1, axiom, ( ~aNaturalNumber0(_u17) | ( sdtasdt0(_u17, sz00) = sz00) )).
% 0.62/0.81 cnf(m_MulZero-2, axiom, ( ~aNaturalNumber0(_u17) | ( sz00 = sdtasdt0(sz00, _u17)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mAMDistr ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mAMDistr-1, axiom, ( ~aNaturalNumber0(_u20) | ~aNaturalNumber0(_u19) | ~aNaturalNumber0(_u18) | ( sdtasdt0(_u20, sdtpldt0(_u19, _u18)) = sdtpldt0(sdtasdt0(_u20, _u19), sdtasdt0(_u20, _u18))) )).
% 0.62/0.81 cnf(mAMDistr-2, axiom, ( ~aNaturalNumber0(_u20) | ~aNaturalNumber0(_u19) | ~aNaturalNumber0(_u18) | ( sdtasdt0(sdtpldt0(_u19, _u18), _u20) = sdtpldt0(sdtasdt0(_u19, _u20), sdtasdt0(_u18, _u20))) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mAddCanc ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mAddCanc-1, axiom, ( ~aNaturalNumber0(_u23) | ~aNaturalNumber0(_u22) | ~aNaturalNumber0(_u21) | ( _u22 = _u21) | ( sdtpldt0(_u23, _u22) != sdtpldt0(_u23, _u21)) )).
% 0.62/0.81 cnf(mAddCanc-2, axiom, ( ~aNaturalNumber0(_u23) | ~aNaturalNumber0(_u22) | ~aNaturalNumber0(_u21) | ( _u22 = _u21) | ( sdtpldt0(_u22, _u23) != sdtpldt0(_u21, _u23)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mMulCanc ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mMulCanc-1, axiom, ( ~aNaturalNumber0(_u26) | ( _u26 = sz00) | ~aNaturalNumber0(_u25) | ~aNaturalNumber0(_u24) | ( _u25 = _u24) | ( sdtasdt0(_u26, _u25) != sdtasdt0(_u26, _u24)) )).
% 0.62/0.81 cnf(mMulCanc-2, axiom, ( ~aNaturalNumber0(_u26) | ( _u26 = sz00) | ~aNaturalNumber0(_u25) | ~aNaturalNumber0(_u24) | ( _u25 = _u24) | ( sdtasdt0(_u25, _u26) != sdtasdt0(_u24, _u26)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mZeroAdd ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mZeroAdd-1, axiom, ( ~aNaturalNumber0(_u28) | ~aNaturalNumber0(_u27) | ( sdtpldt0(_u28, _u27) != sz00) | ( _u28 = sz00) )).
% 0.62/0.81 cnf(mZeroAdd-2, axiom, ( ~aNaturalNumber0(_u28) | ~aNaturalNumber0(_u27) | ( sdtpldt0(_u28, _u27) != sz00) | ( _u27 = sz00) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mZeroMul ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mZeroMul-1, axiom, ( ~aNaturalNumber0(_u30) | ~aNaturalNumber0(_u29) | ( sdtasdt0(_u30, _u29) != sz00) | ( _u30 = sz00) | ( _u29 = sz00) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDefLE ( definition ) converted to clauses:
% 0.62/0.81 cnf(mDefLE-1, definition, ( ~aNaturalNumber0(_u34) | ~aNaturalNumber0(_u33) | ~sdtlseqdt0(_u34, _u33) | aNaturalNumber0(skolem1(_u34, _u33)) )).
% 0.62/0.81 cnf(mDefLE-2, definition, ( ~aNaturalNumber0(_u34) | ~aNaturalNumber0(_u33) | ~sdtlseqdt0(_u34, _u33) | ( sdtpldt0(_u34, skolem1(_u34, _u33)) = _u33) )).
% 0.62/0.81 cnf(mDefLE-3, definition, ( ~aNaturalNumber0(_u34) | ~aNaturalNumber0(_u33) | ~aNaturalNumber0(_u32) | ( sdtpldt0(_u34, _u32) != _u33) | sdtlseqdt0(_u34, _u33) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDefDiff ( definition ) converted to clauses:
% 0.62/0.81 cnf(mDefDiff-1, definition, ( ~aNaturalNumber0(_u37) | ~aNaturalNumber0(_u36) | ~sdtlseqdt0(_u37, _u36) | ( _u38 != sdtmndt0(_u36, _u37)) | aNaturalNumber0(_u38) )).
% 0.62/0.81 cnf(mDefDiff-2, definition, ( ~aNaturalNumber0(_u37) | ~aNaturalNumber0(_u36) | ~sdtlseqdt0(_u37, _u36) | ( _u38 != sdtmndt0(_u36, _u37)) | ( sdtpldt0(_u37, _u38) = _u36) )).
% 0.62/0.81 cnf(mDefDiff-3, definition, ( ~aNaturalNumber0(_u37) | ~aNaturalNumber0(_u36) | ~sdtlseqdt0(_u37, _u36) | ~aNaturalNumber0(_u39) | ( sdtpldt0(_u37, _u39) != _u36) | ( _u39 = sdtmndt0(_u36, _u37)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mLERefl ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mLERefl-1, axiom, ( ~aNaturalNumber0(_u40) | sdtlseqdt0(_u40, _u40) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mLEAsym ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mLEAsym-1, axiom, ( ~aNaturalNumber0(_u42) | ~aNaturalNumber0(_u41) | ~sdtlseqdt0(_u42, _u41) | ~sdtlseqdt0(_u41, _u42) | ( _u42 = _u41) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mLETran ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mLETran-1, axiom, ( ~aNaturalNumber0(_u45) | ~aNaturalNumber0(_u44) | ~aNaturalNumber0(_u43) | ~sdtlseqdt0(_u45, _u44) | ~sdtlseqdt0(_u44, _u43) | sdtlseqdt0(_u45, _u43) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mLETotal ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mLETotal-1, axiom, ( ~aNaturalNumber0(_u47) | ~aNaturalNumber0(_u46) | sdtlseqdt0(_u47, _u46) | ( _u46 != _u47) )).
% 0.62/0.81 cnf(mLETotal-2, axiom, ( ~aNaturalNumber0(_u47) | ~aNaturalNumber0(_u46) | sdtlseqdt0(_u47, _u46) | sdtlseqdt0(_u46, _u47) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mMonAdd ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mMonAdd-1, axiom, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | ( sdtpldt0(_u48, _u50) != sdtpldt0(_u48, _u49)) )).
% 0.62/0.81 cnf(mMonAdd-2, axiom, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | sdtlseqdt0(sdtpldt0(_u48, _u50), sdtpldt0(_u48, _u49)) )).
% 0.62/0.81 cnf(mMonAdd-3, axiom, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | ( sdtpldt0(_u50, _u48) != sdtpldt0(_u49, _u48)) )).
% 0.62/0.81 cnf(mMonAdd-4, axiom, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | sdtlseqdt0(sdtpldt0(_u50, _u48), sdtpldt0(_u49, _u48)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mMonMul ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mMonMul-1, axiom, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | ( sdtasdt0(_u53, _u52) != sdtasdt0(_u53, _u51)) )).
% 0.62/0.81 cnf(mMonMul-2, axiom, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | sdtlseqdt0(sdtasdt0(_u53, _u52), sdtasdt0(_u53, _u51)) )).
% 0.62/0.81 cnf(mMonMul-3, axiom, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | ( sdtasdt0(_u52, _u53) != sdtasdt0(_u51, _u53)) )).
% 0.62/0.81 cnf(mMonMul-4, axiom, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | sdtlseqdt0(sdtasdt0(_u52, _u53), sdtasdt0(_u51, _u53)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mLENTr ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mLENTr-1, axiom, ( ~aNaturalNumber0(_u54) | ( _u54 = sz00) | ( _u54 = sz10) | ( sz10 != _u54) )).
% 0.62/0.81 cnf(mLENTr-2, axiom, ( ~aNaturalNumber0(_u54) | ( _u54 = sz00) | ( _u54 = sz10) | sdtlseqdt0(sz10, _u54) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mMonMul2 ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mMonMul2-1, axiom, ( ~aNaturalNumber0(_u56) | ~aNaturalNumber0(_u55) | ( _u56 = sz00) | sdtlseqdt0(_u55, sdtasdt0(_u55, _u56)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mIH ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mIH, axiom, $true).
% 0.62/0.81
% 0.62/0.81 % Formula: mIH_03 ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mIH_03-1, axiom, ( ~aNaturalNumber0(_u60) | ~aNaturalNumber0(_u59) | ( _u60 = _u59) | ~sdtlseqdt0(_u60, _u59) | iLess0(_u60, _u59) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDefDiv ( definition ) converted to clauses:
% 0.62/0.81 cnf(mDefDiv-1, definition, ( ~aNaturalNumber0(_u64) | ~aNaturalNumber0(_u63) | ~doDivides0(_u64, _u63) | aNaturalNumber0(skolem2(_u64, _u63)) )).
% 0.62/0.81 cnf(mDefDiv-2, definition, ( ~aNaturalNumber0(_u64) | ~aNaturalNumber0(_u63) | ~doDivides0(_u64, _u63) | ( _u63 = sdtasdt0(_u64, skolem2(_u64, _u63))) )).
% 0.62/0.81 cnf(mDefDiv-3, definition, ( ~aNaturalNumber0(_u64) | ~aNaturalNumber0(_u63) | ~aNaturalNumber0(_u62) | ( _u63 != sdtasdt0(_u64, _u62)) | doDivides0(_u64, _u63) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDefQuot ( definition ) converted to clauses:
% 0.62/0.81 cnf(mDefQuot-1, definition, ( ~aNaturalNumber0(_u67) | ~aNaturalNumber0(_u66) | ( _u67 = sz00) | ~doDivides0(_u67, _u66) | ( _u68 != sdtsldt0(_u66, _u67)) | aNaturalNumber0(_u68) )).
% 0.62/0.81 cnf(mDefQuot-2, definition, ( ~aNaturalNumber0(_u67) | ~aNaturalNumber0(_u66) | ( _u67 = sz00) | ~doDivides0(_u67, _u66) | ( _u68 != sdtsldt0(_u66, _u67)) | ( _u66 = sdtasdt0(_u67, _u68)) )).
% 0.62/0.81 cnf(mDefQuot-3, definition, ( ~aNaturalNumber0(_u67) | ~aNaturalNumber0(_u66) | ( _u67 = sz00) | ~doDivides0(_u67, _u66) | ~aNaturalNumber0(_u69) | ( _u66 != sdtasdt0(_u67, _u69)) | ( _u69 = sdtsldt0(_u66, _u67)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDivTrans ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mDivTrans-1, axiom, ( ~aNaturalNumber0(_u72) | ~aNaturalNumber0(_u71) | ~aNaturalNumber0(_u70) | ~doDivides0(_u72, _u71) | ~doDivides0(_u71, _u70) | doDivides0(_u72, _u70) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDivSum ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mDivSum-1, axiom, ( ~aNaturalNumber0(_u75) | ~aNaturalNumber0(_u74) | ~aNaturalNumber0(_u73) | ~doDivides0(_u75, _u74) | ~doDivides0(_u75, _u73) | doDivides0(_u75, sdtpldt0(_u74, _u73)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDivMin ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mDivMin-1, axiom, ( ~aNaturalNumber0(_u78) | ~aNaturalNumber0(_u77) | ~aNaturalNumber0(_u76) | ~doDivides0(_u78, _u77) | ~doDivides0(_u78, sdtpldt0(_u77, _u76)) | doDivides0(_u78, _u76) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDivLE ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mDivLE-1, axiom, ( ~aNaturalNumber0(_u80) | ~aNaturalNumber0(_u79) | ~doDivides0(_u80, _u79) | ( _u79 = sz00) | sdtlseqdt0(_u80, _u79) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDivAsso ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mDivAsso-1, axiom, ( ~aNaturalNumber0(_u83) | ~aNaturalNumber0(_u82) | ( _u83 = sz00) | ~doDivides0(_u83, _u82) | ~aNaturalNumber0(_u81) | ( sdtasdt0(_u81, sdtsldt0(_u82, _u83)) = sdtsldt0(sdtasdt0(_u81, _u82), _u83)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mDefPrime ( definition ) converted to clauses:
% 0.62/0.81 cnf(mDefPrime-1, definition, ( ~aNaturalNumber0(_u86) | ~isPrime0(_u86) | ( _u86 != sz00) )).
% 0.62/0.81 cnf(mDefPrime-2, definition, ( ~aNaturalNumber0(_u86) | ~isPrime0(_u86) | ( _u86 != sz10) )).
% 0.62/0.81 cnf(mDefPrime-3, definition, ( ~aNaturalNumber0(_u86) | ~isPrime0(_u86) | ~aNaturalNumber0(_u84) | ~doDivides0(_u84, _u86) | ( _u84 = sz10) | ( _u84 = _u86) )).
% 0.62/0.81 cnf(mDefPrime-4, definition, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | aNaturalNumber0(skolem3(_u86)) )).
% 0.62/0.81 cnf(mDefPrime-5, definition, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | doDivides0(skolem3(_u86), _u86) )).
% 0.62/0.81 cnf(mDefPrime-6, definition, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | ( skolem3(_u86) != sz10) )).
% 0.62/0.81 cnf(mDefPrime-7, definition, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | ( skolem3(_u86) != _u86) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mPrimDiv ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mPrimDiv-1, axiom, ( ~aNaturalNumber0(_u88) | ( _u88 = sz00) | ( _u88 = sz10) | aNaturalNumber0(skolem4(_u88)) )).
% 0.62/0.81 cnf(mPrimDiv-2, axiom, ( ~aNaturalNumber0(_u88) | ( _u88 = sz00) | ( _u88 = sz10) | doDivides0(skolem4(_u88), _u88) )).
% 0.62/0.81 cnf(mPrimDiv-3, axiom, ( ~aNaturalNumber0(_u88) | ( _u88 = sz00) | ( _u88 = sz10) | isPrime0(skolem4(_u88)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: mPDP ( axiom ) converted to clauses:
% 0.62/0.81 cnf(mPDP-1, axiom, ( ~aNaturalNumber0(_u91) | ~aNaturalNumber0(_u90) | ~aNaturalNumber0(_u89) | ~isPrime0(_u89) | ~doDivides0(_u89, sdtasdt0(_u91, _u90)) | doDivides0(_u89, _u91) | doDivides0(_u89, _u90) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__2987 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__2987-1, hypothesis, ( aNaturalNumber0(xn) )).
% 0.62/0.81 cnf(m__2987-2, hypothesis, ( aNaturalNumber0(xm) )).
% 0.62/0.81 cnf(m__2987-3, hypothesis, ( aNaturalNumber0(xp) )).
% 0.62/0.81 cnf(m__2987-4, hypothesis, ( ( xn != sz00) )).
% 0.62/0.81 cnf(m__2987-5, hypothesis, ( ( xm != sz00) )).
% 0.62/0.81 cnf(m__2987-6, hypothesis, ( ( xp != sz00) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__2963 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__2963-1, hypothesis, ( ~aNaturalNumber0(_u94) | ~aNaturalNumber0(_u93) | ~aNaturalNumber0(_u92) | ( _u94 = sz00) | ( _u93 = sz00) | ( _u92 = sz00) | ( sdtasdt0(_u92, sdtasdt0(_u93, _u93)) != sdtasdt0(_u94, _u94)) | ~iLess0(_u94, xn) | ~isPrime0(_u92) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3014 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3014-1, hypothesis, ( ( sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3025 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3025-1, hypothesis, ( isPrime0(xp) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3046 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3046-1, hypothesis, ( doDivides0(xp, sdtasdt0(xn, xn)) )).
% 0.62/0.81 cnf(m__3046-2, hypothesis, ( doDivides0(xp, xn) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3059 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3059-1, hypothesis, ( ( xq = sdtsldt0(xn, xp)) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3082 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3082-1, hypothesis, ( ( sdtasdt0(xm, xm) = sdtasdt0(xp, sdtasdt0(xq, xq))) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3124 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3124-1, hypothesis, ( ( xm != xn) )).
% 0.62/0.81 cnf(m__3124-2, hypothesis, ( sdtlseqdt0(xm, xn) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__3161 ( hypothesis ) converted to clauses:
% 0.62/0.81 cnf(m__3161-1, hypothesis, ( ~isPrime0(xp) )).
% 0.62/0.81
% 0.62/0.81 % Formula: m__ ( conjecture ) (definitionally) converted to clauses:
% 0.62/0.81 cnf(m__, negated_conjecture, $true).
% 0.62/0.81
% 0.62/0.81 % Problem matrix:
% 0.62/0.81 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.62/0.81 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.62/0.81 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.62/0.81 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtpldt0(__eqx_0, __eqx_1) = sdtpldt0(__eqy_0, __eqy_1)) )).
% 0.62/0.81 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtasdt0(__eqx_0, __eqx_1) = sdtasdt0(__eqy_0, __eqy_1)) )).
% 0.62/0.81 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtmndt0(__eqx_0, __eqx_1) = sdtmndt0(__eqy_0, __eqy_1)) )).
% 0.62/0.81 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtsldt0(__eqx_0, __eqx_1) = sdtsldt0(__eqy_0, __eqy_1)) )).
% 0.62/0.81 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.62/0.81 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.62/0.81 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.62/0.81 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.62/0.81 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~aNaturalNumber0(__eqx_0) | aNaturalNumber0(__eqy_0) )).
% 0.62/0.81 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~sdtlseqdt0(__eqx_0, __eqx_1) | sdtlseqdt0(__eqy_0, __eqy_1) )).
% 0.62/0.81 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~iLess0(__eqx_0, __eqx_1) | iLess0(__eqy_0, __eqy_1) )).
% 0.62/0.81 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~doDivides0(__eqx_0, __eqx_1) | doDivides0(__eqy_0, __eqy_1) )).
% 0.62/0.81 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ~isPrime0(__eqx_0) | isPrime0(__eqy_0) )).
% 0.62/0.81 cnf(matrix-16, plain, ( aNaturalNumber0(sz00) )).
% 0.62/0.81 cnf(matrix-17, plain, ( aNaturalNumber0(sz10) )).
% 0.62/0.81 cnf(matrix-18, plain, ( ( sz10 != sz00) )).
% 0.62/0.81 cnf(matrix-19, plain, ( ~aNaturalNumber0(_u2) | ~aNaturalNumber0(_u1) | aNaturalNumber0(sdtpldt0(_u2, _u1)) )).
% 0.62/0.81 cnf(matrix-20, plain, ( ~aNaturalNumber0(_u4) | ~aNaturalNumber0(_u3) | aNaturalNumber0(sdtasdt0(_u4, _u3)) )).
% 0.62/0.81 cnf(matrix-21, plain, ( ~aNaturalNumber0(_u6) | ~aNaturalNumber0(_u5) | ( sdtpldt0(_u6, _u5) = sdtpldt0(_u5, _u6)) )).
% 0.62/0.81 cnf(matrix-22, plain, ( ~aNaturalNumber0(_u9) | ~aNaturalNumber0(_u8) | ~aNaturalNumber0(_u7) | ( sdtpldt0(sdtpldt0(_u9, _u8), _u7) = sdtpldt0(_u9, sdtpldt0(_u8, _u7))) )).
% 0.62/0.81 cnf(matrix-23, plain, ( ~aNaturalNumber0(_u10) | ( sdtpldt0(_u10, sz00) = _u10) )).
% 0.62/0.81 cnf(matrix-24, plain, ( ~aNaturalNumber0(_u10) | ( _u10 = sdtpldt0(sz00, _u10)) )).
% 0.62/0.81 cnf(matrix-25, plain, ( ~aNaturalNumber0(_u12) | ~aNaturalNumber0(_u11) | ( sdtasdt0(_u12, _u11) = sdtasdt0(_u11, _u12)) )).
% 0.62/0.81 cnf(matrix-26, plain, ( ~aNaturalNumber0(_u15) | ~aNaturalNumber0(_u14) | ~aNaturalNumber0(_u13) | ( sdtasdt0(sdtasdt0(_u15, _u14), _u13) = sdtasdt0(_u15, sdtasdt0(_u14, _u13))) )).
% 0.62/0.81 cnf(matrix-27, plain, ( ~aNaturalNumber0(_u16) | ( sdtasdt0(_u16, sz10) = _u16) )).
% 0.62/0.81 cnf(matrix-28, plain, ( ~aNaturalNumber0(_u16) | ( _u16 = sdtasdt0(sz10, _u16)) )).
% 0.62/0.81 cnf(matrix-29, plain, ( ~aNaturalNumber0(_u17) | ( sdtasdt0(_u17, sz00) = sz00) )).
% 0.62/0.81 cnf(matrix-30, plain, ( ~aNaturalNumber0(_u17) | ( sz00 = sdtasdt0(sz00, _u17)) )).
% 0.62/0.81 cnf(matrix-31, plain, ( ~aNaturalNumber0(_u20) | ~aNaturalNumber0(_u19) | ~aNaturalNumber0(_u18) | ( sdtasdt0(_u20, sdtpldt0(_u19, _u18)) = sdtpldt0(sdtasdt0(_u20, _u19), sdtasdt0(_u20, _u18))) )).
% 0.62/0.81 cnf(matrix-32, plain, ( ~aNaturalNumber0(_u20) | ~aNaturalNumber0(_u19) | ~aNaturalNumber0(_u18) | ( sdtasdt0(sdtpldt0(_u19, _u18), _u20) = sdtpldt0(sdtasdt0(_u19, _u20), sdtasdt0(_u18, _u20))) )).
% 0.62/0.81 cnf(matrix-33, plain, ( ~aNaturalNumber0(_u23) | ~aNaturalNumber0(_u22) | ~aNaturalNumber0(_u21) | ( _u22 = _u21) | ( sdtpldt0(_u23, _u22) != sdtpldt0(_u23, _u21)) )).
% 0.62/0.81 cnf(matrix-34, plain, ( ~aNaturalNumber0(_u23) | ~aNaturalNumber0(_u22) | ~aNaturalNumber0(_u21) | ( _u22 = _u21) | ( sdtpldt0(_u22, _u23) != sdtpldt0(_u21, _u23)) )).
% 0.62/0.81 cnf(matrix-35, plain, ( ~aNaturalNumber0(_u26) | ( _u26 = sz00) | ~aNaturalNumber0(_u25) | ~aNaturalNumber0(_u24) | ( _u25 = _u24) | ( sdtasdt0(_u26, _u25) != sdtasdt0(_u26, _u24)) )).
% 0.62/0.81 cnf(matrix-36, plain, ( ~aNaturalNumber0(_u26) | ( _u26 = sz00) | ~aNaturalNumber0(_u25) | ~aNaturalNumber0(_u24) | ( _u25 = _u24) | ( sdtasdt0(_u25, _u26) != sdtasdt0(_u24, _u26)) )).
% 0.62/0.81 cnf(matrix-37, plain, ( ~aNaturalNumber0(_u28) | ~aNaturalNumber0(_u27) | ( sdtpldt0(_u28, _u27) != sz00) | ( _u28 = sz00) )).
% 0.62/0.81 cnf(matrix-38, plain, ( ~aNaturalNumber0(_u28) | ~aNaturalNumber0(_u27) | ( sdtpldt0(_u28, _u27) != sz00) | ( _u27 = sz00) )).
% 0.62/0.81 cnf(matrix-39, plain, ( ~aNaturalNumber0(_u30) | ~aNaturalNumber0(_u29) | ( sdtasdt0(_u30, _u29) != sz00) | ( _u30 = sz00) | ( _u29 = sz00) )).
% 0.62/0.81 cnf(matrix-40, plain, ( ~aNaturalNumber0(_u34) | ~aNaturalNumber0(_u33) | ~sdtlseqdt0(_u34, _u33) | aNaturalNumber0(skolem1(_u34, _u33)) )).
% 0.62/0.81 cnf(matrix-41, plain, ( ~aNaturalNumber0(_u34) | ~aNaturalNumber0(_u33) | ~sdtlseqdt0(_u34, _u33) | ( sdtpldt0(_u34, skolem1(_u34, _u33)) = _u33) )).
% 0.62/0.81 cnf(matrix-42, plain, ( ~aNaturalNumber0(_u34) | ~aNaturalNumber0(_u33) | ~aNaturalNumber0(_u32) | ( sdtpldt0(_u34, _u32) != _u33) | sdtlseqdt0(_u34, _u33) )).
% 0.62/0.81 cnf(matrix-43, plain, ( ~aNaturalNumber0(_u37) | ~aNaturalNumber0(_u36) | ~sdtlseqdt0(_u37, _u36) | ( _u38 != sdtmndt0(_u36, _u37)) | aNaturalNumber0(_u38) )).
% 0.62/0.81 cnf(matrix-44, plain, ( ~aNaturalNumber0(_u37) | ~aNaturalNumber0(_u36) | ~sdtlseqdt0(_u37, _u36) | ( _u38 != sdtmndt0(_u36, _u37)) | ( sdtpldt0(_u37, _u38) = _u36) )).
% 0.62/0.81 cnf(matrix-45, plain, ( ~aNaturalNumber0(_u37) | ~aNaturalNumber0(_u36) | ~sdtlseqdt0(_u37, _u36) | ~aNaturalNumber0(_u39) | ( sdtpldt0(_u37, _u39) != _u36) | ( _u39 = sdtmndt0(_u36, _u37)) )).
% 0.62/0.81 cnf(matrix-46, plain, ( ~aNaturalNumber0(_u40) | sdtlseqdt0(_u40, _u40) )).
% 0.62/0.81 cnf(matrix-47, plain, ( ~aNaturalNumber0(_u42) | ~aNaturalNumber0(_u41) | ~sdtlseqdt0(_u42, _u41) | ~sdtlseqdt0(_u41, _u42) | ( _u42 = _u41) )).
% 0.62/0.81 cnf(matrix-48, plain, ( ~aNaturalNumber0(_u45) | ~aNaturalNumber0(_u44) | ~aNaturalNumber0(_u43) | ~sdtlseqdt0(_u45, _u44) | ~sdtlseqdt0(_u44, _u43) | sdtlseqdt0(_u45, _u43) )).
% 0.62/0.81 cnf(matrix-49, plain, ( ~aNaturalNumber0(_u47) | ~aNaturalNumber0(_u46) | sdtlseqdt0(_u47, _u46) | ( _u46 != _u47) )).
% 0.62/0.81 cnf(matrix-50, plain, ( ~aNaturalNumber0(_u47) | ~aNaturalNumber0(_u46) | sdtlseqdt0(_u47, _u46) | sdtlseqdt0(_u46, _u47) )).
% 0.62/0.81 cnf(matrix-51, plain, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | ( sdtpldt0(_u48, _u50) != sdtpldt0(_u48, _u49)) )).
% 0.62/0.81 cnf(matrix-52, plain, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | sdtlseqdt0(sdtpldt0(_u48, _u50), sdtpldt0(_u48, _u49)) )).
% 0.62/0.81 cnf(matrix-53, plain, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | ( sdtpldt0(_u50, _u48) != sdtpldt0(_u49, _u48)) )).
% 0.62/0.81 cnf(matrix-54, plain, ( ~aNaturalNumber0(_u50) | ~aNaturalNumber0(_u49) | ( _u50 = _u49) | ~sdtlseqdt0(_u50, _u49) | ~aNaturalNumber0(_u48) | sdtlseqdt0(sdtpldt0(_u50, _u48), sdtpldt0(_u49, _u48)) )).
% 0.62/0.81 cnf(matrix-55, plain, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | ( sdtasdt0(_u53, _u52) != sdtasdt0(_u53, _u51)) )).
% 0.62/0.81 cnf(matrix-56, plain, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | sdtlseqdt0(sdtasdt0(_u53, _u52), sdtasdt0(_u53, _u51)) )).
% 0.62/0.81 cnf(matrix-57, plain, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | ( sdtasdt0(_u52, _u53) != sdtasdt0(_u51, _u53)) )).
% 0.62/0.81 cnf(matrix-58, plain, ( ~aNaturalNumber0(_u53) | ~aNaturalNumber0(_u52) | ~aNaturalNumber0(_u51) | ( _u53 = sz00) | ( _u52 = _u51) | ~sdtlseqdt0(_u52, _u51) | sdtlseqdt0(sdtasdt0(_u52, _u53), sdtasdt0(_u51, _u53)) )).
% 0.62/0.81 cnf(matrix-59, plain, ( ~aNaturalNumber0(_u54) | ( _u54 = sz00) | ( _u54 = sz10) | ( sz10 != _u54) )).
% 0.62/0.81 cnf(matrix-60, plain, ( ~aNaturalNumber0(_u54) | ( _u54 = sz00) | ( _u54 = sz10) | sdtlseqdt0(sz10, _u54) )).
% 0.62/0.81 cnf(matrix-61, plain, ( ~aNaturalNumber0(_u56) | ~aNaturalNumber0(_u55) | ( _u56 = sz00) | sdtlseqdt0(_u55, sdtasdt0(_u55, _u56)) )).
% 0.62/0.81 cnf(matrix-62, plain, ( ~aNaturalNumber0(_u60) | ~aNaturalNumber0(_u59) | ( _u60 = _u59) | ~sdtlseqdt0(_u60, _u59) | iLess0(_u60, _u59) )).
% 0.62/0.81 cnf(matrix-63, plain, ( ~aNaturalNumber0(_u64) | ~aNaturalNumber0(_u63) | ~doDivides0(_u64, _u63) | aNaturalNumber0(skolem2(_u64, _u63)) )).
% 0.62/0.81 cnf(matrix-64, plain, ( ~aNaturalNumber0(_u64) | ~aNaturalNumber0(_u63) | ~doDivides0(_u64, _u63) | ( _u63 = sdtasdt0(_u64, skolem2(_u64, _u63))) )).
% 0.62/0.81 cnf(matrix-65, plain, ( ~aNaturalNumber0(_u64) | ~aNaturalNumber0(_u63) | ~aNaturalNumber0(_u62) | ( _u63 != sdtasdt0(_u64, _u62)) | doDivides0(_u64, _u63) )).
% 0.62/0.81 cnf(matrix-66, plain, ( ~aNaturalNumber0(_u67) | ~aNaturalNumber0(_u66) | ( _u67 = sz00) | ~doDivides0(_u67, _u66) | ( _u68 != sdtsldt0(_u66, _u67)) | aNaturalNumber0(_u68) )).
% 0.62/0.81 cnf(matrix-67, plain, ( ~aNaturalNumber0(_u67) | ~aNaturalNumber0(_u66) | ( _u67 = sz00) | ~doDivides0(_u67, _u66) | ( _u68 != sdtsldt0(_u66, _u67)) | ( _u66 = sdtasdt0(_u67, _u68)) )).
% 0.62/0.81 cnf(matrix-68, plain, ( ~aNaturalNumber0(_u67) | ~aNaturalNumber0(_u66) | ( _u67 = sz00) | ~doDivides0(_u67, _u66) | ~aNaturalNumber0(_u69) | ( _u66 != sdtasdt0(_u67, _u69)) | ( _u69 = sdtsldt0(_u66, _u67)) )).
% 0.62/0.81 cnf(matrix-69, plain, ( ~aNaturalNumber0(_u72) | ~aNaturalNumber0(_u71) | ~aNaturalNumber0(_u70) | ~doDivides0(_u72, _u71) | ~doDivides0(_u71, _u70) | doDivides0(_u72, _u70) )).
% 0.62/0.81 cnf(matrix-70, plain, ( ~aNaturalNumber0(_u75) | ~aNaturalNumber0(_u74) | ~aNaturalNumber0(_u73) | ~doDivides0(_u75, _u74) | ~doDivides0(_u75, _u73) | doDivides0(_u75, sdtpldt0(_u74, _u73)) )).
% 0.62/0.81 cnf(matrix-71, plain, ( ~aNaturalNumber0(_u78) | ~aNaturalNumber0(_u77) | ~aNaturalNumber0(_u76) | ~doDivides0(_u78, _u77) | ~doDivides0(_u78, sdtpldt0(_u77, _u76)) | doDivides0(_u78, _u76) )).
% 0.62/0.81 cnf(matrix-72, plain, ( ~aNaturalNumber0(_u80) | ~aNaturalNumber0(_u79) | ~doDivides0(_u80, _u79) | ( _u79 = sz00) | sdtlseqdt0(_u80, _u79) )).
% 0.62/0.81 cnf(matrix-73, plain, ( ~aNaturalNumber0(_u83) | ~aNaturalNumber0(_u82) | ( _u83 = sz00) | ~doDivides0(_u83, _u82) | ~aNaturalNumber0(_u81) | ( sdtasdt0(_u81, sdtsldt0(_u82, _u83)) = sdtsldt0(sdtasdt0(_u81, _u82), _u83)) )).
% 0.62/0.81 cnf(matrix-74, plain, ( ~aNaturalNumber0(_u86) | ~isPrime0(_u86) | ( _u86 != sz00) )).
% 0.62/0.81 cnf(matrix-75, plain, ( ~aNaturalNumber0(_u86) | ~isPrime0(_u86) | ( _u86 != sz10) )).
% 0.62/0.81 cnf(matrix-76, plain, ( ~aNaturalNumber0(_u86) | ~isPrime0(_u86) | ~aNaturalNumber0(_u84) | ~doDivides0(_u84, _u86) | ( _u84 = sz10) | ( _u84 = _u86) )).
% 0.62/0.81 cnf(matrix-77, plain, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | aNaturalNumber0(skolem3(_u86)) )).
% 0.62/0.81 cnf(matrix-78, plain, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | doDivides0(skolem3(_u86), _u86) )).
% 0.62/0.81 cnf(matrix-79, plain, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | ( skolem3(_u86) != sz10) )).
% 0.62/0.81 cnf(matrix-80, plain, ( ~aNaturalNumber0(_u86) | isPrime0(_u86) | ( _u86 = sz00) | ( _u86 = sz10) | ( skolem3(_u86) != _u86) )).
% 0.62/0.81 cnf(matrix-81, plain, ( ~aNaturalNumber0(_u88) | ( _u88 = sz00) | ( _u88 = sz10) | aNaturalNumber0(skolem4(_u88)) )).
% 0.62/0.81 cnf(matrix-82, plain, ( ~aNaturalNumber0(_u88) | ( _u88 = sz00) | ( _u88 = sz10) | doDivides0(skolem4(_u88), _u88) )).
% 0.62/0.81 cnf(matrix-83, plain, ( ~aNaturalNumber0(_u88) | ( _u88 = sz00) | ( _u88 = sz10) | isPrime0(skolem4(_u88)) )).
% 0.62/0.81 cnf(matrix-84, plain, ( ~aNaturalNumber0(_u91) | ~aNaturalNumber0(_u90) | ~aNaturalNumber0(_u89) | ~isPrime0(_u89) | ~doDivides0(_u89, sdtasdt0(_u91, _u90)) | doDivides0(_u89, _u91) | doDivides0(_u89, _u90) )).
% 0.62/0.81 cnf(matrix-85, plain, ( aNaturalNumber0(xn) )).
% 0.62/0.81 cnf(matrix-86, plain, ( aNaturalNumber0(xm) )).
% 0.62/0.81 cnf(matrix-87, plain, ( aNaturalNumber0(xp) )).
% 0.62/0.81 cnf(matrix-88, plain, ( ( xn != sz00) )).
% 0.62/0.81 cnf(matrix-89, plain, ( ( xm != sz00) )).
% 0.62/0.81 cnf(matrix-90, plain, ( ( xp != sz00) )).
% 0.62/0.81 cnf(matrix-91, plain, ( ~aNaturalNumber0(_u94) | ~aNaturalNumber0(_u93) | ~aNaturalNumber0(_u92) | ( _u94 = sz00) | ( _u93 = sz00) | ( _u92 = sz00) | ( sdtasdt0(_u92, sdtasdt0(_u93, _u93)) != sdtasdt0(_u94, _u94)) | ~iLess0(_u94, xn) | ~isPrime0(_u92) )).
% 0.62/0.81 cnf(matrix-92, plain, ( ( sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn)) )).
% 0.62/0.81 cnf(matrix-93, plain, ( isPrime0(xp) )).
% 0.62/0.81 cnf(matrix-94, plain, ( doDivides0(xp, sdtasdt0(xn, xn)) )).
% 0.62/0.81 cnf(matrix-95, plain, ( doDivides0(xp, xn) )).
% 0.62/0.81 cnf(matrix-96, plain, ( ( xq = sdtsldt0(xn, xp)) )).
% 0.62/0.81 cnf(matrix-97, plain, ( ( sdtasdt0(xm, xm) = sdtasdt0(xp, sdtasdt0(xq, xq))) )).
% 0.62/0.81 cnf(matrix-98, plain, ( ( xm != xn) )).
% 0.62/0.81 cnf(matrix-99, plain, ( sdtlseqdt0(xm, xn) )).
% 0.62/0.81 cnf(matrix-100, plain, ( ~isPrime0(xp) )).
% 0.62/0.81
% 0.62/0.81 % Proof stack:
% 0.62/0.81 cnf(proof-stack, plain,
% 0.62/0.81 proof_stack(
% 0.62/0.81 start(100),
% 0.62/0.81 left_branch(0, 93, 0, 2),
% 0.62/0.81 right_branch(2)
% 0.62/0.81 )).
% 0.62/0.81 % SZS output end Proof for theBenchmark
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