%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG091+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.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 : Tue May 5 05:05:18 PM UTC 2026
% Result : Theorem 1.45s 2.62s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 54)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )
& ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mDefSSum,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(mDefSInt,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSInt) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(mSetEq,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,X2) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSetEq) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(m__870,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mCancel,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__901,hypothesis,
( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = xx )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = xy )
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(m__1098,hypothesis,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1098) ).
fof(m__1061,hypothesis,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1061) ).
fof(m__1021,hypothesis,
( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1021) ).
fof(m__994,hypothesis,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__994) ).
fof(m__967,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
fof(m__934,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mUnNeZr,axiom,
sz10 != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(i_0_31,negated_conjecture,
~ ( ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtpldt0(xx,xy) )
| aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )
& ( ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sdtasdt0(xz,xx) )
| aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_32,plain,
! [X99,X100,X101,X102,X105,X106,X107,X108,X110,X111] :
( ( aSet0(X101)
| X101 != sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( aElementOf0(esk3_4(X99,X100,X101,X102),X99)
| ~ aElementOf0(X102,X101)
| X101 != sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( aElementOf0(esk4_4(X99,X100,X101,X102),X100)
| ~ aElementOf0(X102,X101)
| X101 != sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( sdtpldt0(esk3_4(X99,X100,X101,X102),esk4_4(X99,X100,X101,X102)) = X102
| ~ aElementOf0(X102,X101)
| X101 != sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( ~ aElementOf0(X106,X99)
| ~ aElementOf0(X107,X100)
| sdtpldt0(X106,X107) != X105
| aElementOf0(X105,X101)
| X101 != sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( ~ aElementOf0(esk5_3(X99,X100,X108),X108)
| ~ aElementOf0(X110,X99)
| ~ aElementOf0(X111,X100)
| sdtpldt0(X110,X111) != esk5_3(X99,X100,X108)
| ~ aSet0(X108)
| X108 = sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( aElementOf0(esk6_3(X99,X100,X108),X99)
| aElementOf0(esk5_3(X99,X100,X108),X108)
| ~ aSet0(X108)
| X108 = sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( aElementOf0(esk7_3(X99,X100,X108),X100)
| aElementOf0(esk5_3(X99,X100,X108),X108)
| ~ aSet0(X108)
| X108 = sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) )
& ( sdtpldt0(esk6_3(X99,X100,X108),esk7_3(X99,X100,X108)) = esk5_3(X99,X100,X108)
| aElementOf0(esk5_3(X99,X100,X108),X108)
| ~ aSet0(X108)
| X108 = sdtpldt1(X99,X100)
| ~ aSet0(X99)
| ~ aSet0(X100) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSSum])])])])])]) ).
fof(i_0_33,plain,
! [X114,X115,X116,X117,X118,X119] :
( ( aSet0(X116)
| X116 != sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) )
& ( aElementOf0(X117,X114)
| ~ aElementOf0(X117,X116)
| X116 != sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) )
& ( aElementOf0(X117,X115)
| ~ aElementOf0(X117,X116)
| X116 != sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) )
& ( ~ aElementOf0(X118,X114)
| ~ aElementOf0(X118,X115)
| aElementOf0(X118,X116)
| X116 != sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) )
& ( ~ aElementOf0(esk8_3(X114,X115,X119),X119)
| ~ aElementOf0(esk8_3(X114,X115,X119),X114)
| ~ aElementOf0(esk8_3(X114,X115,X119),X115)
| ~ aSet0(X119)
| X119 = sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) )
& ( aElementOf0(esk8_3(X114,X115,X119),X114)
| aElementOf0(esk8_3(X114,X115,X119),X119)
| ~ aSet0(X119)
| X119 = sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) )
& ( aElementOf0(esk8_3(X114,X115,X119),X115)
| aElementOf0(esk8_3(X114,X115,X119),X119)
| ~ aSet0(X119)
| X119 = sdtasasdt0(X114,X115)
| ~ aSet0(X114)
| ~ aSet0(X115) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSInt])])])])])]) ).
fof(i_0_34,plain,
! [X121,X122,X123,X124,X125] :
( ( aSet0(X121)
| ~ aIdeal0(X121) )
& ( ~ aElementOf0(X123,X121)
| aElementOf0(sdtpldt0(X122,X123),X121)
| ~ aElementOf0(X122,X121)
| ~ aIdeal0(X121) )
& ( ~ aElement0(X124)
| aElementOf0(sdtasdt0(X124,X122),X121)
| ~ aElementOf0(X122,X121)
| ~ aIdeal0(X121) )
& ( aElementOf0(esk9_1(X125),X125)
| ~ aSet0(X125)
| aIdeal0(X125) )
& ( aElement0(esk11_1(X125))
| aElementOf0(esk10_1(X125),X125)
| ~ aSet0(X125)
| aIdeal0(X125) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X125),esk9_1(X125)),X125)
| aElementOf0(esk10_1(X125),X125)
| ~ aSet0(X125)
| aIdeal0(X125) )
& ( aElement0(esk11_1(X125))
| ~ aElementOf0(sdtpldt0(esk9_1(X125),esk10_1(X125)),X125)
| ~ aSet0(X125)
| aIdeal0(X125) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X125),esk9_1(X125)),X125)
| ~ aElementOf0(sdtpldt0(esk9_1(X125),esk10_1(X125)),X125)
| ~ aSet0(X125)
| aIdeal0(X125) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])]) ).
fof(i_0_35,negated_conjecture,
! [X139,X140,X141,X142] :
( ( ~ aElementOf0(X141,xI)
| ~ aElementOf0(X142,xJ)
| sdtpldt0(X141,X142) != sdtasdt0(xz,xx)
| ~ aElementOf0(X139,xI)
| ~ aElementOf0(X140,xJ)
| sdtpldt0(X139,X140) != sdtpldt0(xx,xy) )
& ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(X139,xI)
| ~ aElementOf0(X140,xJ)
| sdtpldt0(X139,X140) != sdtpldt0(xx,xy) )
& ( ~ aElementOf0(X141,xI)
| ~ aElementOf0(X142,xJ)
| sdtpldt0(X141,X142) != sdtasdt0(xz,xx)
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_31])])])]) ).
fof(i_0_36,plain,
! [X95,X96] :
( ( aElementOf0(esk2_2(X95,X96),X96)
| aElementOf0(esk1_2(X95,X96),X95)
| X95 = X96
| ~ aSet0(X95)
| ~ aSet0(X96) )
& ( ~ aElementOf0(esk2_2(X95,X96),X95)
| aElementOf0(esk1_2(X95,X96),X95)
| X95 = X96
| ~ aSet0(X95)
| ~ aSet0(X96) )
& ( aElementOf0(esk2_2(X95,X96),X96)
| ~ aElementOf0(esk1_2(X95,X96),X96)
| X95 = X96
| ~ aSet0(X95)
| ~ aSet0(X96) )
& ( ~ aElementOf0(esk2_2(X95,X96),X95)
| ~ aElementOf0(esk1_2(X95,X96),X96)
| X95 = X96
| ~ aSet0(X95)
| ~ aSet0(X96) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSetEq])])])]) ).
fof(i_0_37,plain,
! [X86,X87,X88] :
( ( sdtasdt0(X86,sdtpldt0(X87,X88)) = sdtpldt0(sdtasdt0(X86,X87),sdtasdt0(X86,X88))
| ~ aElement0(X86)
| ~ aElement0(X87)
| ~ aElement0(X88) )
& ( sdtasdt0(sdtpldt0(X87,X88),X86) = sdtpldt0(sdtasdt0(X87,X86),sdtasdt0(X88,X86))
| ~ aElement0(X86)
| ~ aElement0(X87)
| ~ aElement0(X88) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(i_0_38,plain,
! [X82,X83,X84] :
( ~ aElement0(X82)
| ~ aElement0(X83)
| ~ aElement0(X84)
| sdtasdt0(sdtasdt0(X82,X83),X84) = sdtasdt0(X82,sdtasdt0(X83,X84)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(i_0_39,plain,
! [X75,X76,X77] :
( ~ aElement0(X75)
| ~ aElement0(X76)
| ~ aElement0(X77)
| sdtpldt0(sdtpldt0(X75,X76),X77) = sdtpldt0(X75,sdtpldt0(X76,X77)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(i_0_40,hypothesis,
! [X129,X130,X131,X132,X133,X134] :
( aSet0(xI)
& ( ~ aElementOf0(X130,xI)
| aElementOf0(sdtpldt0(X129,X130),xI)
| ~ aElementOf0(X129,xI) )
& ( ~ aElement0(X131)
| aElementOf0(sdtasdt0(X131,X129),xI)
| ~ aElementOf0(X129,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ( ~ aElementOf0(X133,xJ)
| aElementOf0(sdtpldt0(X132,X133),xJ)
| ~ aElementOf0(X132,xJ) )
& ( ~ aElement0(X134)
| aElementOf0(sdtasdt0(X134,X132),xJ)
| ~ aElementOf0(X132,xJ) )
& aIdeal0(xJ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__870])])])]) ).
fof(i_0_41,plain,
! [X71,X72] :
( ~ aElement0(X71)
| ~ aElement0(X72)
| aElement0(sdtasdt0(X71,X72)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(i_0_42,plain,
! [X69,X70] :
( ~ aElement0(X69)
| ~ aElement0(X70)
| aElement0(sdtpldt0(X69,X70)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
fof(i_0_43,plain,
! [X80,X81] :
( ~ aElement0(X80)
| ~ aElement0(X81)
| sdtasdt0(X80,X81) = sdtasdt0(X81,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(i_0_44,plain,
! [X73,X74] :
( ~ aElement0(X73)
| ~ aElement0(X74)
| sdtpldt0(X73,X74) = sdtpldt0(X74,X73) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
fof(i_0_45,plain,
! [X91,X92] :
( ~ aElement0(X91)
| ~ aElement0(X92)
| sdtasdt0(X91,X92) != sz00
| X91 = sz00
| X92 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCancel])]) ).
fof(i_0_46,plain,
! [X93,X94] :
( ~ aSet0(X93)
| ~ aElementOf0(X94,X93)
| aElement0(X94) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(i_0_47,hypothesis,
( aElementOf0(esk12_0,xI)
& aElementOf0(esk13_0,xJ)
& sdtpldt0(esk12_0,esk13_0) = xx
& aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(esk14_0,xI)
& aElementOf0(esk15_0,xJ)
& sdtpldt0(esk14_0,esk15_0) = xy
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__901])]) ).
fof(i_0_48,plain,
! [X89] :
( ( sdtasdt0(smndt0(sz10),X89) = smndt0(X89)
| ~ aElement0(X89) )
& ( smndt0(X89) = sdtasdt0(X89,smndt0(sz10))
| ~ aElement0(X89) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
fof(i_0_49,plain,
! [X79] :
( ( sdtpldt0(X79,smndt0(X79)) = sz00
| ~ aElement0(X79) )
& ( sz00 = sdtpldt0(smndt0(X79),X79)
| ~ aElement0(X79) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
fof(i_0_50,plain,
! [X85] :
( ( sdtasdt0(X85,sz10) = X85
| ~ aElement0(X85) )
& ( X85 = sdtasdt0(sz10,X85)
| ~ aElement0(X85) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
fof(i_0_51,plain,
! [X78] :
( ( sdtpldt0(X78,sz00) = X78
| ~ aElement0(X78) )
& ( X78 = sdtpldt0(sz00,X78)
| ~ aElement0(X78) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(i_0_52,plain,
! [X90] :
( ( sdtasdt0(X90,sz00) = sz00
| ~ aElement0(X90) )
& ( sz00 = sdtasdt0(sz00,X90)
| ~ aElement0(X90) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(i_0_53,plain,
! [X68] :
( ~ aElement0(X68)
| aElement0(smndt0(X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(i_0_54,plain,
( sdtpldt0(esk3_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_55,plain,
( X3 = sdtasasdt0(X1,X2)
| ~ aElementOf0(esk8_3(X1,X2,X3),X3)
| ~ aElementOf0(esk8_3(X1,X2,X3),X1)
| ~ aElementOf0(esk8_3(X1,X2,X3),X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_56,plain,
( aElementOf0(esk4_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_57,plain,
( aElementOf0(esk3_4(X1,X2,X3,X4),X1)
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_58,plain,
( sdtpldt0(esk6_3(X1,X2,X3),esk7_3(X1,X2,X3)) = esk5_3(X1,X2,X3)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtpldt1(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_59,plain,
( X3 = sdtpldt1(X1,X2)
| ~ aElementOf0(esk5_3(X1,X2,X3),X3)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != esk5_3(X1,X2,X3)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_60,plain,
( aElementOf0(esk8_3(X1,X2,X3),X1)
| aElementOf0(esk8_3(X1,X2,X3),X3)
| X3 = sdtasasdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_61,plain,
( aElementOf0(esk8_3(X1,X2,X3),X2)
| aElementOf0(esk8_3(X1,X2,X3),X3)
| X3 = sdtasasdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_62,plain,
( aElementOf0(esk7_3(X1,X2,X3),X2)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtpldt1(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_63,plain,
( aElementOf0(esk6_3(X1,X2,X3),X1)
| aElementOf0(esk5_3(X1,X2,X3),X3)
| X3 = sdtpldt1(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_64,plain,
( aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_65,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_66,negated_conjecture,
( ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| sdtpldt0(X1,X2) != sdtasdt0(xz,xx)
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_67,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| sdtpldt0(X1,X2) != sdtpldt0(xx,xy) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_68,negated_conjecture,
( ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| sdtpldt0(X1,X2) != sdtasdt0(xz,xx)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy) ),
inference(split_conjunct,[status(thm)],[i_0_35]),
[final] ).
cnf(i_0_69,plain,
( X1 = X2
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_70,plain,
( aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_71,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_72,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_37]),
[final] ).
cnf(i_0_73,plain,
( aElement0(esk11_1(X1))
| aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_74,plain,
( aElementOf0(X5,X6)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X4)
| sdtpldt0(X1,X3) != X5
| X6 != sdtpldt1(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_75,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| X1 = X2
| ~ aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_76,plain,
( aElementOf0(esk1_2(X1,X2),X1)
| X1 = X2
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_77,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_38]),
[final] ).
cnf(i_0_78,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_39]),
[final] ).
cnf(i_0_79,plain,
( aElementOf0(X1,X4)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X4 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_80,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aElementOf0(esk1_2(X1,X2),X1)
| X1 = X2
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_36]),
[final] ).
cnf(i_0_81,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_82,hypothesis,
( aElementOf0(sdtpldt0(X2,X1),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X2,xJ) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_83,hypothesis,
( aElementOf0(sdtpldt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_84,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_85,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_86,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_87,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xJ) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_88,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_89,hypothesis,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
inference(split_conjunct,[status(thm)],[m__1098]),
[final] ).
cnf(i_0_90,hypothesis,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(split_conjunct,[status(thm)],[m__1061]),
[final] ).
cnf(i_0_91,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_41]),
[final] ).
cnf(i_0_92,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_42]),
[final] ).
cnf(i_0_93,plain,
( aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_94,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_33]),
[final] ).
cnf(i_0_95,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_32]),
[final] ).
cnf(i_0_96,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_43]),
[final] ).
cnf(i_0_97,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_44]),
[final] ).
cnf(i_0_98,plain,
( X1 = sz00
| X2 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[i_0_45]),
[final] ).
cnf(i_0_99,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_46]),
[final] ).
cnf(i_0_100,hypothesis,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(split_conjunct,[status(thm)],[m__1021]),
[final] ).
cnf(i_0_101,hypothesis,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(split_conjunct,[status(thm)],[m__1021]),
[final] ).
cnf(i_0_102,hypothesis,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(split_conjunct,[status(thm)],[m__994]),
[final] ).
cnf(i_0_103,hypothesis,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(split_conjunct,[status(thm)],[m__994]),
[final] ).
cnf(i_0_104,hypothesis,
aElementOf0(xy,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_105,hypothesis,
aElementOf0(xx,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_106,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_107,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_108,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_48]),
[final] ).
cnf(i_0_109,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_110,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_49]),
[final] ).
cnf(i_0_111,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_112,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_113,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_50]),
[final] ).
cnf(i_0_114,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_51]),
[final] ).
cnf(i_0_115,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_116,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_52]),
[final] ).
cnf(i_0_117,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_53]),
[final] ).
cnf(i_0_118,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_34]),
[final] ).
cnf(i_0_119,hypothesis,
aElementOf0(esk15_0,xJ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_120,hypothesis,
aElementOf0(esk14_0,xI),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_121,hypothesis,
aElementOf0(esk13_0,xJ),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_122,hypothesis,
aElementOf0(esk12_0,xI),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_123,hypothesis,
aElementOf0(xn,xJ),
inference(split_conjunct,[status(thm)],[m__967]),
[final] ).
cnf(i_0_124,hypothesis,
aElementOf0(xm,xI),
inference(split_conjunct,[status(thm)],[m__967]),
[final] ).
cnf(i_0_125,hypothesis,
aElementOf0(xl,xJ),
inference(split_conjunct,[status(thm)],[m__934]),
[final] ).
cnf(i_0_126,hypothesis,
aElementOf0(xk,xI),
inference(split_conjunct,[status(thm)],[m__934]),
[final] ).
cnf(i_0_127,hypothesis,
sdtpldt0(esk14_0,esk15_0) = xy,
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_128,hypothesis,
sdtpldt0(esk12_0,esk13_0) = xx,
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_129,hypothesis,
xy = sdtpldt0(xm,xn),
inference(split_conjunct,[status(thm)],[m__967]),
[final] ).
cnf(i_0_130,hypothesis,
xx = sdtpldt0(xk,xl),
inference(split_conjunct,[status(thm)],[m__934]),
[final] ).
cnf(i_0_131,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_132,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_133,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_134,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[i_0_40]),
[final] ).
cnf(i_0_135,hypothesis,
aElement0(xz),
inference(split_conjunct,[status(thm)],[i_0_47]),
[final] ).
cnf(i_0_136,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]),
[final] ).
cnf(i_0_137,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]),
[final] ).
cnf(i_0_138,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[mUnNeZr]),
[final] ).
cnf(i_0_139,axiom,
X1 = X1 ).
cnf(i_0_140,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_141,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_142,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_143,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_144,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_145,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_146,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_147,axiom,
( X1 != X2
| sdtpldt1(X1,X3) = sdtpldt1(X2,X3) ) ).
cnf(i_0_148,axiom,
( X1 != X2
| sdtpldt1(X3,X1) = sdtpldt1(X3,X2) ) ).
cnf(i_0_149,axiom,
( X1 != X2
| sdtasasdt0(X1,X3) = sdtasasdt0(X2,X3) ) ).
cnf(i_0_150,axiom,
( X1 != X2
| sdtasasdt0(X3,X1) = sdtasasdt0(X3,X2) ) ).
cnf(i_0_151,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_152,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_153,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_154,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_155,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_156,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_157,axiom,
( X1 != X2
| ~ aIdeal0(X1)
| aIdeal0(X2) ) ).
cnf(i_0_158,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_139_001,axiom,
X1 = X1 ).
cnf(i_0_140_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_141_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_142_004,axiom,
( X1 != X2
| sdtpldt0(X1,X3) = sdtpldt0(X2,X3) ) ).
cnf(i_0_143_005,axiom,
( X1 != X2
| sdtpldt0(X3,X1) = sdtpldt0(X3,X2) ) ).
cnf(i_0_144_006,axiom,
( X1 != X2
| sdtasdt0(X1,X3) = sdtasdt0(X2,X3) ) ).
cnf(i_0_145_007,axiom,
( X1 != X2
| sdtasdt0(X3,X1) = sdtasdt0(X3,X2) ) ).
cnf(i_0_146_008,axiom,
( X1 != X2
| smndt0(X1) = smndt0(X2) ) ).
cnf(i_0_147_009,axiom,
( X1 != X2
| sdtpldt1(X1,X3) = sdtpldt1(X2,X3) ) ).
cnf(i_0_148_010,axiom,
( X1 != X2
| sdtpldt1(X3,X1) = sdtpldt1(X3,X2) ) ).
cnf(i_0_149_011,axiom,
( X1 != X2
| sdtasasdt0(X1,X3) = sdtasasdt0(X2,X3) ) ).
cnf(i_0_150_012,axiom,
( X1 != X2
| sdtasasdt0(X3,X1) = sdtasasdt0(X3,X2) ) ).
cnf(i_0_151_013,axiom,
( X1 != X2
| esk5_3(X1,X3,X4) = esk5_3(X2,X3,X4) ) ).
cnf(i_0_152_014,axiom,
( X1 != X2
| esk5_3(X3,X1,X4) = esk5_3(X3,X2,X4) ) ).
cnf(i_0_153_015,axiom,
( X1 != X2
| esk5_3(X3,X4,X1) = esk5_3(X3,X4,X2) ) ).
cnf(i_0_154_016,axiom,
( X1 != X2
| ~ aElementOf0(X1,X3)
| aElementOf0(X2,X3) ) ).
cnf(i_0_155_017,axiom,
( X1 != X2
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X2) ) ).
cnf(i_0_156_018,axiom,
( X1 != X2
| ~ aSet0(X1)
| aSet0(X2) ) ).
cnf(i_0_157_019,axiom,
( X1 != X2
| ~ aIdeal0(X1)
| aIdeal0(X2) ) ).
cnf(i_0_158_020,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_159,plain,
( ~ aElementOf0(X1,sdtpldt1(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| sdtpldt0(esk3_4(X2,X3,sdtpldt1(X2,X3),X1),esk4_4(X2,X3,sdtpldt1(X2,X3),X1)) = X1 ),
inference(equality_inference,[],[54]) ).
cnf(i_0_160,plain,
( ~ aElementOf0(X1,sdtpldt1(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| aElementOf0(esk4_4(X2,X3,sdtpldt1(X2,X3),X1),X3) ),
inference(equality_inference,[],[56]) ).
cnf(i_0_161,plain,
( ~ aElementOf0(X1,sdtpldt1(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| aElementOf0(esk3_4(X2,X3,sdtpldt1(X2,X3),X1),X2) ),
inference(equality_inference,[],[57]) ).
cnf(i_0_162,plain,
( ~ aElementOf0(xx,xI)
| ~ aElementOf0(xy,xJ)
| ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
inference(equality_inference,[],[67]) ).
cnf(i_0_163,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(X3,sdtasasdt0(X1,X2))
| ~ aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) ),
inference(equality_inference,[],[79]) ).
cnf(i_0_164,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(X3,X1)
| ~ aElementOf0(X3,sdtasasdt0(X1,X2)) ),
inference(equality_inference,[],[85]) ).
cnf(i_0_165,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(X3,X2)
| ~ aElementOf0(X3,sdtasasdt0(X1,X2)) ),
inference(equality_inference,[],[86]) ).
cnf(i_0_166,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aSet0(sdtasasdt0(X1,X2)) ),
inference(equality_inference,[],[94]) ).
cnf(i_0_167,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aSet0(sdtpldt1(X1,X2)) ),
inference(equality_inference,[],[95]) ).
cnf(i_0_168,plain,
sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) = sdtasdt0(xz,xx),
inference(scs_inference,[],[i_0_89,i_0_140]) ).
cnf(i_0_169,plain,
aElement0(esk15_0),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_133,i_0_140,i_0_99]) ).
cnf(i_0_170,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_171,plain,
sdtpldt0(esk14_0,esk15_0) = sdtpldt0(xm,xn),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_133,i_0_127,i_0_129,i_0_140,i_0_99,i_0_141]) ).
cnf(i_0_172,plain,
aElementOf0(esk15_0,sdtasasdt0(xJ,xJ)),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_133,i_0_127,i_0_129,i_0_140,i_0_99,i_0_141,i_0_163]) ).
cnf(i_0_173,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X2)
| aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_174,plain,
sdtpldt0(esk14_0,esk15_0) != sdtpldt0(xx,xy),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_120,i_0_133,i_0_100,i_0_101,i_0_127,i_0_129,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68]) ).
cnf(i_0_175,plain,
( sdtpldt0(X1,X2) != sdtasdt0(xz,xx)
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ) ),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_176,plain,
( aSet0(X1)
| xJ != X1 ),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_120,i_0_133,i_0_100,i_0_101,i_0_127,i_0_129,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156]) ).
cnf(i_0_177,plain,
( aElementOf0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),xx),xJ)
| xJ != xI ),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_120,i_0_133,i_0_105,i_0_100,i_0_101,i_0_127,i_0_129,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156,i_0_160]) ).
cnf(i_0_178,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3),X2)
| ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_179,plain,
( xJ != xI
| aElementOf0(xy,X1)
| ~ aElementOf0(esk14_0,xJ)
| X1 != sdtpldt1(xJ,xJ) ),
inference(scs_inference,[],[i_0_89,i_0_119,i_0_120,i_0_131,i_0_133,i_0_135,i_0_105,i_0_100,i_0_101,i_0_127,i_0_129,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156,i_0_160,i_0_74]) ).
cnf(i_0_180,plain,
aSet0(xJ),
inference(equality_inference,[],[176]) ).
cnf(i_0_181,plain,
sdtpldt0(xm,xn) = sdtpldt0(esk14_0,esk15_0),
inference(scs_inference,[],[i_0_171,i_0_140]) ).
cnf(i_0_182,plain,
aElement0(esk13_0),
inference(scs_inference,[],[i_0_171,i_0_121,i_0_133,i_0_140,i_0_99]) ).
cnf(i_0_183,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_184,plain,
sdtpldt0(esk12_0,esk13_0) = sdtpldt0(xk,xl),
inference(scs_inference,[],[i_0_171,i_0_121,i_0_128,i_0_130,i_0_133,i_0_140,i_0_99,i_0_141]) ).
cnf(i_0_185,plain,
aElementOf0(esk13_0,sdtasasdt0(xJ,xJ)),
inference(scs_inference,[],[i_0_171,i_0_121,i_0_128,i_0_130,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163]) ).
cnf(i_0_186,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X2)
| aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_187,plain,
sdtpldt0(esk12_0,esk13_0) != sdtpldt0(xx,xy),
inference(scs_inference,[],[i_0_168,i_0_171,i_0_121,i_0_122,i_0_128,i_0_130,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68]) ).
cnf(i_0_188,plain,
( sdtpldt0(X1,X2) != sdtasdt0(xz,xx)
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ) ),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_189,plain,
( aSet0(X1)
| xI != X1 ),
inference(scs_inference,[],[i_0_168,i_0_171,i_0_121,i_0_122,i_0_134,i_0_128,i_0_130,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156]) ).
cnf(i_0_190,plain,
( aIdeal0(X1)
| xI != X1 ),
inference(scs_inference,[],[i_0_168,i_0_132,i_0_171,i_0_121,i_0_122,i_0_134,i_0_128,i_0_130,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156,i_0_157]) ).
cnf(i_0_191,plain,
( aElement0(X1)
| sz10 != X1 ),
inference(scs_inference,[],[i_0_168,i_0_132,i_0_171,i_0_121,i_0_122,i_0_134,i_0_136,i_0_128,i_0_130,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156,i_0_157,i_0_158]) ).
cnf(i_0_192,plain,
( aElementOf0(esk4_4(xI,xI,sdtpldt1(xI,xI),X1),xI)
| ~ aElementOf0(X1,sdtpldt1(xI,xI)) ),
inference(scs_inference,[],[i_0_168,i_0_132,i_0_171,i_0_121,i_0_122,i_0_134,i_0_136,i_0_128,i_0_130,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156,i_0_157,i_0_158,i_0_160]) ).
cnf(i_0_193,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3),X2)
| ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_194,plain,
( aElementOf0(esk3_4(xI,xI,sdtpldt1(xI,xI),X1),xI)
| ~ aElementOf0(X1,sdtpldt1(xI,xI)) ),
inference(scs_inference,[],[i_0_168,i_0_132,i_0_171,i_0_121,i_0_122,i_0_134,i_0_136,i_0_128,i_0_130,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_156,i_0_157,i_0_158,i_0_160,i_0_161]) ).
cnf(i_0_195,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),X1)
| ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_196,plain,
aSet0(xI),
inference(equality_inference,[],[189]) ).
cnf(i_0_197,plain,
aIdeal0(xI),
inference(equality_inference,[],[190]) ).
cnf(i_0_198,plain,
aElement0(sz10),
inference(equality_inference,[],[191]) ).
cnf(i_0_199,plain,
sdtpldt0(xk,xl) = sdtpldt0(esk12_0,esk13_0),
inference(scs_inference,[],[i_0_184,i_0_140]) ).
cnf(i_0_200,plain,
aElement0(xn),
inference(scs_inference,[],[i_0_184,i_0_123,i_0_133,i_0_140,i_0_99]) ).
cnf(i_0_201,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_202,plain,
sdtpldt0(xk,xl) = xx,
inference(scs_inference,[],[i_0_184,i_0_123,i_0_128,i_0_133,i_0_140,i_0_99,i_0_141]) ).
cnf(i_0_203,plain,
aElementOf0(xn,sdtasasdt0(xJ,xJ)),
inference(scs_inference,[],[i_0_184,i_0_123,i_0_128,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163]) ).
cnf(i_0_204,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X2)
| aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_205,plain,
sdtpldt0(xm,xn) != sdtpldt0(xx,xy),
inference(scs_inference,[],[i_0_168,i_0_184,i_0_123,i_0_124,i_0_128,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68]) ).
cnf(i_0_206,plain,
( sdtpldt0(X1,X2) != sdtasdt0(xz,xx)
| sdtpldt0(X3,X4) != sdtpldt0(xx,xy)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ) ),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_207,plain,
( aIdeal0(X1)
| xJ != X1 ),
inference(scs_inference,[],[i_0_168,i_0_131,i_0_184,i_0_123,i_0_124,i_0_128,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_157]) ).
cnf(i_0_208,plain,
( aElement0(X1)
| sz00 != X1 ),
inference(scs_inference,[],[i_0_168,i_0_131,i_0_184,i_0_123,i_0_124,i_0_137,i_0_128,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_157,i_0_158]) ).
cnf(i_0_209,plain,
( aElementOf0(esk4_4(xJ,xJ,sdtpldt1(xJ,xJ),X1),xJ)
| ~ aElementOf0(X1,sdtpldt1(xJ,xJ)) ),
inference(scs_inference,[],[i_0_168,i_0_131,i_0_184,i_0_123,i_0_124,i_0_137,i_0_128,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_157,i_0_158,i_0_160]) ).
cnf(i_0_210,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3),X2)
| ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
inference(rename_variables,[],[i_0_160]) ).
cnf(i_0_211,plain,
( aElementOf0(esk3_4(xJ,xJ,sdtpldt1(xJ,xJ),X1),xJ)
| ~ aElementOf0(X1,sdtpldt1(xJ,xJ)) ),
inference(scs_inference,[],[i_0_168,i_0_131,i_0_184,i_0_123,i_0_124,i_0_137,i_0_128,i_0_100,i_0_101,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_157,i_0_158,i_0_160,i_0_161]) ).
cnf(i_0_212,plain,
( ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),X1)
| ~ aElementOf0(X3,sdtpldt1(X1,X2)) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_213,plain,
( aElementOf0(sdtasdt0(xz,xx),X1)
| ~ aElementOf0(sdtasdt0(xz,xl),xI)
| X1 != sdtpldt1(xI,xI) ),
inference(scs_inference,[],[i_0_168,i_0_131,i_0_184,i_0_123,i_0_124,i_0_137,i_0_128,i_0_100,i_0_101,i_0_134,i_0_133,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68,i_0_74]) ).
cnf(i_0_214,plain,
aIdeal0(xJ),
inference(equality_inference,[],[207]) ).
cnf(i_0_215,plain,
aElement0(sz00),
inference(equality_inference,[],[208]) ).
cnf(i_0_216,plain,
( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xI))
| ~ aElementOf0(sdtasdt0(xz,xl),xI) ),
inference(equality_inference,[],[213]) ).
cnf(i_0_217,plain,
sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) = sdtpldt0(xx,xy),
inference(scs_inference,[],[i_0_90,i_0_140]) ).
cnf(i_0_218,plain,
aElement0(xl),
inference(scs_inference,[],[i_0_133,i_0_125,i_0_90,i_0_140,i_0_99]) ).
cnf(i_0_219,plain,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(rename_variables,[],[i_0_99]) ).
cnf(i_0_220,plain,
sdtpldt0(xm,xn) = xy,
inference(scs_inference,[],[i_0_133,i_0_181,i_0_125,i_0_90,i_0_127,i_0_140,i_0_99,i_0_141]) ).
cnf(i_0_221,plain,
aElementOf0(xl,sdtasasdt0(xJ,xJ)),
inference(scs_inference,[],[i_0_133,i_0_181,i_0_125,i_0_90,i_0_127,i_0_140,i_0_99,i_0_141,i_0_163]) ).
cnf(i_0_222,plain,
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X2)
| aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_223,plain,
$false,
inference(scs_inference,[],[i_0_168,i_0_133,i_0_181,i_0_125,i_0_102,i_0_103,i_0_90,i_0_127,i_0_100,i_0_101,i_0_140,i_0_99,i_0_141,i_0_163,i_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG091+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n029.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 01:50:00 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.45/2.62 % Version : CSE_E---1.7
% 1.45/2.62 % Problem : theBenchmark.p
% 1.45/2.62 % SZS status Theorem for theBenchmark.p
% 1.45/2.62 % SZS output start CNFRefutation
% See solution above
% 1.64/2.80 % Total time : 2.272s
%------------------------------------------------------------------------------