TSTP Solution File: RNG088+2 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : RNG088+2 : 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 : n023.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 14:29:57 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG088+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Mar 21 00:10:57 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% 0.12/0.37
% 0.12/0.37 % Formula: mElmSort ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mElmSort, axiom, $true).
% 0.12/0.37
% 0.12/0.37 % Formula: mSortsC ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSortsC-1, axiom, ( aElement0(sz00) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mSortsC_01 ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSortsC_01-1, axiom, ( aElement0(sz10) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mSortsU ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSortsU-1, axiom, ( ~aElement0(_u1) | aElement0(smndt0(_u1)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mSortsB ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSortsB-1, axiom, ( ~aElement0(_u3) | ~aElement0(_u2) | aElement0(sdtpldt0(_u3, _u2)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mSortsB_02 ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSortsB_02-1, axiom, ( ~aElement0(_u5) | ~aElement0(_u4) | aElement0(sdtasdt0(_u5, _u4)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mAddComm ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mAddComm-1, axiom, ( ~aElement0(_u7) | ~aElement0(_u6) | ( sdtpldt0(_u7, _u6) = sdtpldt0(_u6, _u7)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mAddAsso ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mAddAsso-1, axiom, ( ~aElement0(_u10) | ~aElement0(_u9) | ~aElement0(_u8) | ( sdtpldt0(sdtpldt0(_u10, _u9), _u8) = sdtpldt0(_u10, sdtpldt0(_u9, _u8))) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mAddZero ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mAddZero-1, axiom, ( ~aElement0(_u11) | ( sdtpldt0(_u11, sz00) = _u11) )).
% 0.12/0.37 cnf(mAddZero-2, axiom, ( ~aElement0(_u11) | ( _u11 = sdtpldt0(sz00, _u11)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mAddInvr ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mAddInvr-1, axiom, ( ~aElement0(_u12) | ( sdtpldt0(_u12, smndt0(_u12)) = sz00) )).
% 0.12/0.37 cnf(mAddInvr-2, axiom, ( ~aElement0(_u12) | ( sz00 = sdtpldt0(smndt0(_u12), _u12)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mMulComm ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mMulComm-1, axiom, ( ~aElement0(_u14) | ~aElement0(_u13) | ( sdtasdt0(_u14, _u13) = sdtasdt0(_u13, _u14)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mMulAsso ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mMulAsso-1, axiom, ( ~aElement0(_u17) | ~aElement0(_u16) | ~aElement0(_u15) | ( sdtasdt0(sdtasdt0(_u17, _u16), _u15) = sdtasdt0(_u17, sdtasdt0(_u16, _u15))) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mMulUnit ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mMulUnit-1, axiom, ( ~aElement0(_u18) | ( sdtasdt0(_u18, sz10) = _u18) )).
% 0.12/0.37 cnf(mMulUnit-2, axiom, ( ~aElement0(_u18) | ( _u18 = sdtasdt0(sz10, _u18)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mAMDistr ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mAMDistr-1, axiom, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(_u21, sdtpldt0(_u20, _u19)) = sdtpldt0(sdtasdt0(_u21, _u20), sdtasdt0(_u21, _u19))) )).
% 0.12/0.37 cnf(mAMDistr-2, axiom, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(sdtpldt0(_u20, _u19), _u21) = sdtpldt0(sdtasdt0(_u20, _u21), sdtasdt0(_u19, _u21))) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mMulMnOne ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mMulMnOne-1, axiom, ( ~aElement0(_u22) | ( sdtasdt0(smndt0(sz10), _u22) = smndt0(_u22)) )).
% 0.12/0.37 cnf(mMulMnOne-2, axiom, ( ~aElement0(_u22) | ( smndt0(_u22) = sdtasdt0(_u22, smndt0(sz10))) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mMulZero ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mMulZero-1, axiom, ( ~aElement0(_u23) | ( sdtasdt0(_u23, sz00) = sz00) )).
% 0.12/0.37 cnf(mMulZero-2, axiom, ( ~aElement0(_u23) | ( sz00 = sdtasdt0(sz00, _u23)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mCancel ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mCancel-1, axiom, ( ~aElement0(_u25) | ~aElement0(_u24) | ( sdtasdt0(_u25, _u24) != sz00) | ( _u25 = sz00) | ( _u24 = sz00) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mUnNeZr ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mUnNeZr-1, axiom, ( ( sz10 != sz00) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mSetSort ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSetSort, axiom, $true).
% 0.12/0.37
% 0.12/0.37 % Formula: mEOfElem ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mEOfElem-1, axiom, ( ~aSet0(_u28) | ~aElementOf0(_u27, _u28) | aElement0(_u27) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mSetEq ( axiom ) converted to clauses:
% 0.12/0.37 cnf(mSetEq-1, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 0.12/0.37 cnf(mSetEq-2, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 0.12/0.37 cnf(mSetEq-3, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 0.12/0.37 cnf(mSetEq-4, axiom, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mDefSSum ( definition ) converted to clauses:
% 0.12/0.37 cnf(mDefSSum-1, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | aSet0(_u50) )).
% 0.12/0.37 cnf(mDefSSum-2, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem3(_u45, _u44, _u50, _u46), _u45) )).
% 0.12/0.37 cnf(mDefSSum-3, definition, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem4(_u45, _u44, _u50, _u46), _u44) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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)) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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)) )).
% 0.12/0.37 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) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mDefSInt ( definition ) converted to clauses:
% 0.12/0.37 cnf(mDefSInt-1, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | aSet0(_u61) )).
% 0.12/0.37 cnf(mDefSInt-2, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u56) )).
% 0.12/0.37 cnf(mDefSInt-3, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u55) )).
% 0.12/0.37 cnf(mDefSInt-4, definition, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u58, _u56) | ~aElementOf0(_u58, _u55) | aElementOf0(_u58, _u61) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37 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) )).
% 0.12/0.37
% 0.12/0.37 % Formula: mDefIdeal ( definition ) converted to clauses:
% 0.12/0.37 cnf(mDefIdeal-1, definition, ( ~aIdeal0(_u70) | aSet0(_u70) )).
% 0.12/0.37 cnf(mDefIdeal-2, definition, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElementOf0(_u63, _u70) | aElementOf0(sdtpldt0(_u65, _u63), _u70) )).
% 0.12/0.37 cnf(mDefIdeal-3, definition, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElement0(_u64) | aElementOf0(sdtasdt0(_u64, _u65), _u70) )).
% 0.12/0.37 cnf(mDefIdeal-4, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem11(_u71), _u71) )).
% 0.12/0.37 cnf(mDefIdeal-5, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | aElement0(skolem13(_u71)) )).
% 0.12/0.37 cnf(mDefIdeal-6, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 0.12/0.37 cnf(mDefIdeal-7, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | aElement0(skolem13(_u71)) )).
% 0.12/0.37 cnf(mDefIdeal-8, definition, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 0.12/0.37
% 0.12/0.37 % Formula: m__870 ( hypothesis ) converted to clauses:
% 0.12/0.37 cnf(m__870-1, hypothesis, ( aSet0(xI) )).
% 0.12/0.37 cnf(m__870-2, hypothesis, ( ~aElementOf0(_u74, xI) | ~aElementOf0(_u72, xI) | aElementOf0(sdtpldt0(_u74, _u72), xI) )).
% 0.12/0.37 cnf(m__870-3, hypothesis, ( ~aElementOf0(_u74, xI) | ~aElement0(_u73) | aElementOf0(sdtasdt0(_u73, _u74), xI) )).
% 0.12/0.37 cnf(m__870-4, hypothesis, ( aIdeal0(xI) )).
% 0.12/0.37 cnf(m__870-5, hypothesis, ( aSet0(xJ) )).
% 0.12/0.37 cnf(m__870-6, hypothesis, ( ~aElementOf0(_u77, xJ) | ~aElementOf0(_u75, xJ) | aElementOf0(sdtpldt0(_u77, _u75), xJ) )).
% 0.12/0.37 cnf(m__870-7, hypothesis, ( ~aElementOf0(_u77, xJ) | ~aElement0(_u76) | aElementOf0(sdtasdt0(_u76, _u77), xJ) )).
% 0.12/0.37 cnf(m__870-8, hypothesis, ( aIdeal0(xJ) )).
% 0.12/0.37
% 0.12/0.37 % Formula: m__901 ( hypothesis ) converted to clauses:
% 0.12/0.37 cnf(m__901-1, hypothesis, ( aElementOf0(skolem14, xI) )).
% 0.12/0.37 cnf(m__901-2, hypothesis, ( aElementOf0(skolem15, xJ) )).
% 0.12/0.37 cnf(m__901-3, hypothesis, ( ( sdtpldt0(skolem14, skolem15) = xx) )).
% 0.12/0.37 cnf(m__901-4, hypothesis, ( aElementOf0(xx, sdtpldt1(xI, xJ)) )).
% 0.12/0.37 cnf(m__901-5, hypothesis, ( aElementOf0(skolem16, xI) )).
% 0.12/0.37 cnf(m__901-6, hypothesis, ( aElementOf0(skolem17, xJ) )).
% 0.12/0.37 cnf(m__901-7, hypothesis, ( ( sdtpldt0(skolem16, skolem17) = xy) )).
% 0.12/0.37 cnf(m__901-8, hypothesis, ( aElementOf0(xy, sdtpldt1(xI, xJ)) )).
% 0.12/0.37 cnf(m__901-9, hypothesis, ( aElement0(xz) )).
% 0.12/0.37
% 0.12/0.37 % Formula: m__934 ( hypothesis ) converted to clauses:
% 0.12/0.37 cnf(m__934-1, hypothesis, ( aElementOf0(xk, xI) )).
% 0.12/0.37 cnf(m__934-2, hypothesis, ( aElementOf0(xl, xJ) )).
% 0.12/0.37 cnf(m__934-3, hypothesis, ( ( xx = sdtpldt0(xk, xl)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: m__967 ( hypothesis ) converted to clauses:
% 0.12/0.37 cnf(m__967-1, hypothesis, ( aElementOf0(xm, xI) )).
% 0.12/0.37 cnf(m__967-2, hypothesis, ( aElementOf0(xn, xJ) )).
% 0.12/0.37 cnf(m__967-3, hypothesis, ( ( xy = sdtpldt0(xm, xn)) )).
% 0.12/0.37
% 0.12/0.37 % Formula: m__ ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.37 cnf(m__-1, negated_conjecture, ( ~aElementOf0(sdtpldt0(xk, xm), xI) | ~aElementOf0(sdtpldt0(xl, xn), xJ) )).
% 0.12/0.37
% 0.12/0.37 % Problem matrix:
% 0.12/0.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( smndt0(__eqx_0) = smndt0(__eqy_0)) )).
% 0.12/0.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtpldt0(__eqx_0, __eqx_1) = sdtpldt0(__eqy_0, __eqy_1)) )).
% 0.12/0.37 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtasdt0(__eqx_0, __eqx_1) = sdtasdt0(__eqy_0, __eqy_1)) )).
% 0.12/0.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtpldt1(__eqx_0, __eqx_1) = sdtpldt1(__eqy_0, __eqy_1)) )).
% 0.12/0.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( sdtasasdt0(__eqx_0, __eqx_1) = sdtasasdt0(__eqy_0, __eqy_1)) )).
% 0.12/0.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.12/0.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.12/0.37 cnf(matrix-10, 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)) )).
% 0.12/0.37 cnf(matrix-11, 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)) )).
% 0.12/0.37 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)) )).
% 0.12/0.37 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)) )).
% 0.12/0.37 cnf(matrix-14, 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)) )).
% 0.12/0.37 cnf(matrix-15, 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)) )).
% 0.12/0.37 cnf(matrix-16, 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)) )).
% 0.12/0.37 cnf(matrix-17, 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)) )).
% 0.12/0.37 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 0.12/0.37 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 0.12/0.37 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 0.12/0.37 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ~aElement0(__eqx_0) | aElement0(__eqy_0) )).
% 0.12/0.37 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ~aSet0(__eqx_0) | aSet0(__eqy_0) )).
% 0.12/0.37 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~aElementOf0(__eqx_0, __eqx_1) | aElementOf0(__eqy_0, __eqy_1) )).
% 0.12/0.37 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ~aIdeal0(__eqx_0) | aIdeal0(__eqy_0) )).
% 0.12/0.37 cnf(matrix-25, plain, ( aElement0(sz00) )).
% 0.12/0.37 cnf(matrix-26, plain, ( aElement0(sz10) )).
% 0.12/0.37 cnf(matrix-27, plain, ( ~aElement0(_u1) | aElement0(smndt0(_u1)) )).
% 0.12/0.37 cnf(matrix-28, plain, ( ~aElement0(_u3) | ~aElement0(_u2) | aElement0(sdtpldt0(_u3, _u2)) )).
% 0.12/0.37 cnf(matrix-29, plain, ( ~aElement0(_u5) | ~aElement0(_u4) | aElement0(sdtasdt0(_u5, _u4)) )).
% 0.12/0.37 cnf(matrix-30, plain, ( ~aElement0(_u7) | ~aElement0(_u6) | ( sdtpldt0(_u7, _u6) = sdtpldt0(_u6, _u7)) )).
% 0.12/0.37 cnf(matrix-31, plain, ( ~aElement0(_u10) | ~aElement0(_u9) | ~aElement0(_u8) | ( sdtpldt0(sdtpldt0(_u10, _u9), _u8) = sdtpldt0(_u10, sdtpldt0(_u9, _u8))) )).
% 0.12/0.37 cnf(matrix-32, plain, ( ~aElement0(_u11) | ( sdtpldt0(_u11, sz00) = _u11) )).
% 0.12/0.37 cnf(matrix-33, plain, ( ~aElement0(_u11) | ( _u11 = sdtpldt0(sz00, _u11)) )).
% 0.12/0.37 cnf(matrix-34, plain, ( ~aElement0(_u12) | ( sdtpldt0(_u12, smndt0(_u12)) = sz00) )).
% 0.12/0.37 cnf(matrix-35, plain, ( ~aElement0(_u12) | ( sz00 = sdtpldt0(smndt0(_u12), _u12)) )).
% 0.12/0.37 cnf(matrix-36, plain, ( ~aElement0(_u14) | ~aElement0(_u13) | ( sdtasdt0(_u14, _u13) = sdtasdt0(_u13, _u14)) )).
% 0.12/0.37 cnf(matrix-37, plain, ( ~aElement0(_u17) | ~aElement0(_u16) | ~aElement0(_u15) | ( sdtasdt0(sdtasdt0(_u17, _u16), _u15) = sdtasdt0(_u17, sdtasdt0(_u16, _u15))) )).
% 0.12/0.37 cnf(matrix-38, plain, ( ~aElement0(_u18) | ( sdtasdt0(_u18, sz10) = _u18) )).
% 0.12/0.37 cnf(matrix-39, plain, ( ~aElement0(_u18) | ( _u18 = sdtasdt0(sz10, _u18)) )).
% 0.12/0.37 cnf(matrix-40, plain, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(_u21, sdtpldt0(_u20, _u19)) = sdtpldt0(sdtasdt0(_u21, _u20), sdtasdt0(_u21, _u19))) )).
% 0.12/0.37 cnf(matrix-41, plain, ( ~aElement0(_u21) | ~aElement0(_u20) | ~aElement0(_u19) | ( sdtasdt0(sdtpldt0(_u20, _u19), _u21) = sdtpldt0(sdtasdt0(_u20, _u21), sdtasdt0(_u19, _u21))) )).
% 0.12/0.37 cnf(matrix-42, plain, ( ~aElement0(_u22) | ( sdtasdt0(smndt0(sz10), _u22) = smndt0(_u22)) )).
% 0.12/0.37 cnf(matrix-43, plain, ( ~aElement0(_u22) | ( smndt0(_u22) = sdtasdt0(_u22, smndt0(sz10))) )).
% 0.12/0.37 cnf(matrix-44, plain, ( ~aElement0(_u23) | ( sdtasdt0(_u23, sz00) = sz00) )).
% 0.12/0.37 cnf(matrix-45, plain, ( ~aElement0(_u23) | ( sz00 = sdtasdt0(sz00, _u23)) )).
% 0.12/0.37 cnf(matrix-46, plain, ( ~aElement0(_u25) | ~aElement0(_u24) | ( sdtasdt0(_u25, _u24) != sz00) | ( _u25 = sz00) | ( _u24 = sz00) )).
% 0.12/0.37 cnf(matrix-47, plain, ( ( sz10 != sz00) )).
% 0.12/0.37 cnf(matrix-48, plain, ( ~aSet0(_u28) | ~aElementOf0(_u27, _u28) | aElement0(_u27) )).
% 0.12/0.37 cnf(matrix-49, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 0.12/0.37 cnf(matrix-50, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | aElementOf0(skolem1(_u32, _u31), _u32) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 0.12/0.37 cnf(matrix-51, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | aElementOf0(skolem2(_u32, _u31), _u31) )).
% 0.12/0.37 cnf(matrix-52, plain, ( ~aSet0(_u32) | ~aSet0(_u31) | ( _u32 = _u31) | ~aElementOf0(skolem1(_u32, _u31), _u31) | ~aElementOf0(skolem2(_u32, _u31), _u32) )).
% 0.12/0.37 cnf(matrix-53, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | aSet0(_u50) )).
% 0.12/0.37 cnf(matrix-54, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem3(_u45, _u44, _u50, _u46), _u45) )).
% 0.12/0.37 cnf(matrix-55, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | aElementOf0(skolem4(_u45, _u44, _u50, _u46), _u44) )).
% 0.12/0.37 cnf(matrix-56, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u46, _u50) | ( sdtpldt0(skolem3(_u45, _u44, _u50, _u46), skolem4(_u45, _u44, _u50, _u46)) = _u46) )).
% 0.12/0.37 cnf(matrix-57, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u50 != sdtpldt1(_u45, _u44)) | ~aElementOf0(_u36, _u45) | ~aElementOf0(_u35, _u44) | ( sdtpldt0(_u36, _u35) != _u47) | aElementOf0(_u47, _u50) )).
% 0.12/0.37 cnf(matrix-58, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | aElementOf0(skolem7(_u45, _u44, _u51), _u45) )).
% 0.12/0.37 cnf(matrix-59, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | aElementOf0(skolem8(_u45, _u44, _u51), _u44) )).
% 0.12/0.37 cnf(matrix-60, 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)) )).
% 0.12/0.37 cnf(matrix-61, plain, ( ~aSet0(_u45) | ~aSet0(_u44) | ( _u51 = sdtpldt1(_u45, _u44)) | ~aSet0(_u51) | aElementOf0(skolem5(_u45, _u44, _u51), _u51) | ~aElementOf0(skolem6(_u45, _u44, _u51), _u51) )).
% 0.12/0.37 cnf(matrix-62, 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) )).
% 0.12/0.37 cnf(matrix-63, 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) )).
% 0.12/0.37 cnf(matrix-64, 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)) )).
% 0.12/0.37 cnf(matrix-65, 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) )).
% 0.12/0.37 cnf(matrix-66, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | aSet0(_u61) )).
% 0.12/0.37 cnf(matrix-67, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u56) )).
% 0.12/0.37 cnf(matrix-68, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u57, _u61) | aElementOf0(_u57, _u55) )).
% 0.12/0.37 cnf(matrix-69, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u61 != sdtasasdt0(_u56, _u55)) | ~aElementOf0(_u58, _u56) | ~aElementOf0(_u58, _u55) | aElementOf0(_u58, _u61) )).
% 0.12/0.37 cnf(matrix-70, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | aElementOf0(skolem10(_u56, _u55, _u62), _u56) )).
% 0.12/0.37 cnf(matrix-71, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | aElementOf0(skolem10(_u56, _u55, _u62), _u55) )).
% 0.12/0.37 cnf(matrix-72, plain, ( ~aSet0(_u56) | ~aSet0(_u55) | ( _u62 = sdtasasdt0(_u56, _u55)) | ~aSet0(_u62) | aElementOf0(skolem9(_u56, _u55, _u62), _u62) | ~aElementOf0(skolem10(_u56, _u55, _u62), _u62) )).
% 0.12/0.37 cnf(matrix-73, 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) )).
% 0.12/0.37 cnf(matrix-74, 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) )).
% 0.12/0.37 cnf(matrix-75, 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) )).
% 0.12/0.37 cnf(matrix-76, plain, ( ~aIdeal0(_u70) | aSet0(_u70) )).
% 0.12/0.37 cnf(matrix-77, plain, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElementOf0(_u63, _u70) | aElementOf0(sdtpldt0(_u65, _u63), _u70) )).
% 0.12/0.37 cnf(matrix-78, plain, ( ~aIdeal0(_u70) | ~aElementOf0(_u65, _u70) | ~aElement0(_u64) | aElementOf0(sdtasdt0(_u64, _u65), _u70) )).
% 0.12/0.37 cnf(matrix-79, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem11(_u71), _u71) )).
% 0.12/0.37 cnf(matrix-80, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | aElement0(skolem13(_u71)) )).
% 0.12/0.37 cnf(matrix-81, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | aElementOf0(skolem12(_u71), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 0.12/0.37 cnf(matrix-82, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | aElement0(skolem13(_u71)) )).
% 0.12/0.37 cnf(matrix-83, plain, ( aIdeal0(_u71) | ~aSet0(_u71) | ~aElementOf0(sdtpldt0(skolem11(_u71), skolem12(_u71)), _u71) | ~aElementOf0(sdtasdt0(skolem13(_u71), skolem11(_u71)), _u71) )).
% 0.12/0.37 cnf(matrix-84, plain, ( aSet0(xI) )).
% 0.12/0.37 cnf(matrix-85, plain, ( ~aElementOf0(_u74, xI) | ~aElementOf0(_u72, xI) | aElementOf0(sdtpldt0(_u74, _u72), xI) )).
% 0.12/0.37 cnf(matrix-86, plain, ( ~aElementOf0(_u74, xI) | ~aElement0(_u73) | aElementOf0(sdtasdt0(_u73, _u74), xI) )).
% 0.12/0.37 cnf(matrix-87, plain, ( aIdeal0(xI) )).
% 0.12/0.37 cnf(matrix-88, plain, ( aSet0(xJ) )).
% 0.12/0.37 cnf(matrix-89, plain, ( ~aElementOf0(_u77, xJ) | ~aElementOf0(_u75, xJ) | aElementOf0(sdtpldt0(_u77, _u75), xJ) )).
% 0.12/0.37 cnf(matrix-90, plain, ( ~aElementOf0(_u77, xJ) | ~aElement0(_u76) | aElementOf0(sdtasdt0(_u76, _u77), xJ) )).
% 0.12/0.37 cnf(matrix-91, plain, ( aIdeal0(xJ) )).
% 0.12/0.37 cnf(matrix-92, plain, ( aElementOf0(skolem14, xI) )).
% 0.12/0.37 cnf(matrix-93, plain, ( aElementOf0(skolem15, xJ) )).
% 0.12/0.37 cnf(matrix-94, plain, ( ( sdtpldt0(skolem14, skolem15) = xx) )).
% 0.12/0.37 cnf(matrix-95, plain, ( aElementOf0(xx, sdtpldt1(xI, xJ)) )).
% 0.12/0.37 cnf(matrix-96, plain, ( aElementOf0(skolem16, xI) )).
% 0.12/0.37 cnf(matrix-97, plain, ( aElementOf0(skolem17, xJ) )).
% 0.12/0.37 cnf(matrix-98, plain, ( ( sdtpldt0(skolem16, skolem17) = xy) )).
% 0.12/0.37 cnf(matrix-99, plain, ( aElementOf0(xy, sdtpldt1(xI, xJ)) )).
% 0.12/0.37 cnf(matrix-100, plain, ( aElement0(xz) )).
% 0.12/0.37 cnf(matrix-101, plain, ( aElementOf0(xk, xI) )).
% 0.12/0.37 cnf(matrix-102, plain, ( aElementOf0(xl, xJ) )).
% 0.12/0.37 cnf(matrix-103, plain, ( ( xx = sdtpldt0(xk, xl)) )).
% 0.12/0.37 cnf(matrix-104, plain, ( aElementOf0(xm, xI) )).
% 0.12/0.37 cnf(matrix-105, plain, ( aElementOf0(xn, xJ) )).
% 0.12/0.37 cnf(matrix-106, plain, ( ( xy = sdtpldt0(xm, xn)) )).
% 0.12/0.37 cnf(matrix-107, plain, ( ~aElementOf0(sdtpldt0(xk, xm), xI) | ~aElementOf0(sdtpldt0(xl, xn), xJ) )).
% 0.12/0.37
% 0.12/0.37 % Proof stack:
% 0.12/0.37 cnf(proof-stack, plain,
% 0.12/0.37 proof_stack(
% 0.12/0.37 start(107),
% 0.12/0.37 left_branch(0, 85, 2, 2),
% 0.12/0.37 left_branch(0, 101, 0, 3),
% 0.12/0.37 right_branch(3),
% 0.12/0.37 left_branch(0, 104, 0, 4),
% 0.12/0.37 right_branch(4),
% 0.12/0.37 right_branch(2),
% 0.12/0.37 left_branch(0, 89, 2, 3),
% 0.12/0.37 left_branch(0, 102, 0, 4),
% 0.12/0.37 right_branch(4),
% 0.12/0.37 left_branch(0, 105, 0, 5),
% 0.12/0.37 right_branch(5),
% 0.12/0.37 right_branch(3)
% 0.12/0.37 )).
% 0.12/0.37 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------