%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM015+1 : 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 : 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 : Tue May 5 04:13:08 PM UTC 2026
% Result : Theorem 262.10s 94.96s
% Output : CNFRefutation 263.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 227)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X1,xR,X3) )
=> ( ! [X4,X5,X6] :
( ( aElement0(X4)
& aElement0(X5)
& aElement0(X6)
& sdtmndtasgtdt0(X4,xR,X5)
& sdtmndtasgtdt0(X4,xR,X6) )
=> ( iLess0(X4,X1)
=> ? [X7] :
( aElement0(X7)
& sdtmndtasgtdt0(X5,xR,X7)
& sdtmndtasgtdt0(X6,xR,X7) ) ) )
=> ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,xR,X4)
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mWCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isLocallyConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& aReductOfIn0(X3,X2,X1)
& aReductOfIn0(X4,X2,X1) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mWCRDef) ).
fof(mCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X2,X1,X4) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCRDef) ).
fof(mNFRDef,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
fof(mTCDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
<=> ( aReductOfIn0(X3,X1,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,X2)
& sdtmndtplgtdt0(X4,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(mTCRTrans,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtasgtdt0(X1,X2,X3)
& sdtmndtasgtdt0(X3,X2,X4) )
=> sdtmndtasgtdt0(X1,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
fof(mTCTrans,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtplgtdt0(X1,X2,X3)
& sdtmndtplgtdt0(X3,X2,X4) )
=> sdtmndtplgtdt0(X1,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).
fof(mTCRDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(mTermin,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
fof(mReduct,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
fof(mTermNF,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermNF) ).
fof(m__656_01,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(i_0_13,negated_conjecture,
~ ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X1,xR,X3) )
=> ( ! [X4,X5,X6] :
( ( aElement0(X4)
& aElement0(X5)
& aElement0(X6)
& sdtmndtasgtdt0(X4,xR,X5)
& sdtmndtasgtdt0(X4,xR,X6) )
=> ( iLess0(X4,X1)
=> ? [X7] :
( aElement0(X7)
& sdtmndtasgtdt0(X5,xR,X7)
& sdtmndtasgtdt0(X6,xR,X7) ) ) )
=> ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,xR,X4)
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(i_0_14,plain,
! [X89,X90,X91,X92,X97] :
( ( aElement0(esk6_4(X89,X90,X91,X92))
| ~ aElement0(X90)
| ~ aElement0(X91)
| ~ aElement0(X92)
| ~ aReductOfIn0(X91,X90,X89)
| ~ aReductOfIn0(X92,X90,X89)
| ~ isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( sdtmndtasgtdt0(X91,X89,esk6_4(X89,X90,X91,X92))
| ~ aElement0(X90)
| ~ aElement0(X91)
| ~ aElement0(X92)
| ~ aReductOfIn0(X91,X90,X89)
| ~ aReductOfIn0(X92,X90,X89)
| ~ isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( sdtmndtasgtdt0(X92,X89,esk6_4(X89,X90,X91,X92))
| ~ aElement0(X90)
| ~ aElement0(X91)
| ~ aElement0(X92)
| ~ aReductOfIn0(X91,X90,X89)
| ~ aReductOfIn0(X92,X90,X89)
| ~ isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( aElement0(esk7_1(X89))
| isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( aElement0(esk8_1(X89))
| isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( aElement0(esk9_1(X89))
| isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( aReductOfIn0(esk8_1(X89),esk7_1(X89),X89)
| isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( aReductOfIn0(esk9_1(X89),esk7_1(X89),X89)
| isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) )
& ( ~ aElement0(X97)
| ~ sdtmndtasgtdt0(esk8_1(X89),X89,X97)
| ~ sdtmndtasgtdt0(esk9_1(X89),X89,X97)
| isLocallyConfluent0(X89)
| ~ aRewritingSystem0(X89) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mWCRDef])])])])]) ).
fof(i_0_15,plain,
! [X80,X81,X82,X83,X88] :
( ( aElement0(esk2_4(X80,X81,X82,X83))
| ~ aElement0(X81)
| ~ aElement0(X82)
| ~ aElement0(X83)
| ~ sdtmndtasgtdt0(X81,X80,X82)
| ~ sdtmndtasgtdt0(X81,X80,X83)
| ~ isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( sdtmndtasgtdt0(X82,X80,esk2_4(X80,X81,X82,X83))
| ~ aElement0(X81)
| ~ aElement0(X82)
| ~ aElement0(X83)
| ~ sdtmndtasgtdt0(X81,X80,X82)
| ~ sdtmndtasgtdt0(X81,X80,X83)
| ~ isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( sdtmndtasgtdt0(X83,X80,esk2_4(X80,X81,X82,X83))
| ~ aElement0(X81)
| ~ aElement0(X82)
| ~ aElement0(X83)
| ~ sdtmndtasgtdt0(X81,X80,X82)
| ~ sdtmndtasgtdt0(X81,X80,X83)
| ~ isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( aElement0(esk3_1(X80))
| isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( aElement0(esk4_1(X80))
| isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( aElement0(esk5_1(X80))
| isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( sdtmndtasgtdt0(esk3_1(X80),X80,esk4_1(X80))
| isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( sdtmndtasgtdt0(esk3_1(X80),X80,esk5_1(X80))
| isConfluent0(X80)
| ~ aRewritingSystem0(X80) )
& ( ~ aElement0(X88)
| ~ sdtmndtasgtdt0(esk4_1(X80),X80,X88)
| ~ sdtmndtasgtdt0(esk5_1(X80),X80,X88)
| isConfluent0(X80)
| ~ aRewritingSystem0(X80) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCRDef])])])])]) ).
fof(i_0_16,negated_conjecture,
! [X115,X116,X117,X119] :
( aElement0(esk14_0)
& aElement0(esk15_0)
& aElement0(esk16_0)
& sdtmndtasgtdt0(esk14_0,xR,esk15_0)
& sdtmndtasgtdt0(esk14_0,xR,esk16_0)
& ( aElement0(esk17_3(X115,X116,X117))
| ~ iLess0(X115,esk14_0)
| ~ aElement0(X115)
| ~ aElement0(X116)
| ~ aElement0(X117)
| ~ sdtmndtasgtdt0(X115,xR,X116)
| ~ sdtmndtasgtdt0(X115,xR,X117) )
& ( sdtmndtasgtdt0(X116,xR,esk17_3(X115,X116,X117))
| ~ iLess0(X115,esk14_0)
| ~ aElement0(X115)
| ~ aElement0(X116)
| ~ aElement0(X117)
| ~ sdtmndtasgtdt0(X115,xR,X116)
| ~ sdtmndtasgtdt0(X115,xR,X117) )
& ( sdtmndtasgtdt0(X117,xR,esk17_3(X115,X116,X117))
| ~ iLess0(X115,esk14_0)
| ~ aElement0(X115)
| ~ aElement0(X116)
| ~ aElement0(X117)
| ~ sdtmndtasgtdt0(X115,xR,X116)
| ~ sdtmndtasgtdt0(X115,xR,X117) )
& ( ~ aElement0(X119)
| ~ sdtmndtasgtdt0(esk15_0,xR,X119)
| ~ sdtmndtasgtdt0(esk16_0,xR,X119) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_13])])])])]) ).
fof(i_0_17,plain,
! [X103,X104,X105,X106,X107] :
( ( aElement0(X105)
| ~ aNormalFormOfIn0(X105,X103,X104)
| ~ aElement0(X103)
| ~ aRewritingSystem0(X104) )
& ( sdtmndtasgtdt0(X103,X104,X105)
| ~ aNormalFormOfIn0(X105,X103,X104)
| ~ aElement0(X103)
| ~ aRewritingSystem0(X104) )
& ( ~ aReductOfIn0(X106,X105,X104)
| ~ aNormalFormOfIn0(X105,X103,X104)
| ~ aElement0(X103)
| ~ aRewritingSystem0(X104) )
& ( ~ aElement0(X107)
| ~ sdtmndtasgtdt0(X103,X104,X107)
| aReductOfIn0(esk12_3(X103,X104,X107),X107,X104)
| aNormalFormOfIn0(X107,X103,X104)
| ~ aElement0(X103)
| ~ aRewritingSystem0(X104) ) ),
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)],[mNFRDef])])])])])]) ).
fof(i_0_18,plain,
! [X64,X65,X66,X68] :
( ( aElement0(esk1_3(X64,X65,X66))
| aReductOfIn0(X66,X64,X65)
| ~ sdtmndtplgtdt0(X64,X65,X66)
| ~ aElement0(X64)
| ~ aRewritingSystem0(X65)
| ~ aElement0(X66) )
& ( aReductOfIn0(esk1_3(X64,X65,X66),X64,X65)
| aReductOfIn0(X66,X64,X65)
| ~ sdtmndtplgtdt0(X64,X65,X66)
| ~ aElement0(X64)
| ~ aRewritingSystem0(X65)
| ~ aElement0(X66) )
& ( sdtmndtplgtdt0(esk1_3(X64,X65,X66),X65,X66)
| aReductOfIn0(X66,X64,X65)
| ~ sdtmndtplgtdt0(X64,X65,X66)
| ~ aElement0(X64)
| ~ aRewritingSystem0(X65)
| ~ aElement0(X66) )
& ( ~ aReductOfIn0(X66,X64,X65)
| sdtmndtplgtdt0(X64,X65,X66)
| ~ aElement0(X64)
| ~ aRewritingSystem0(X65)
| ~ aElement0(X66) )
& ( ~ aElement0(X68)
| ~ aReductOfIn0(X68,X64,X65)
| ~ sdtmndtplgtdt0(X68,X65,X66)
| sdtmndtplgtdt0(X64,X65,X66)
| ~ aElement0(X64)
| ~ aRewritingSystem0(X65)
| ~ aElement0(X66) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCDef])])])])]) ).
fof(i_0_19,plain,
! [X76,X77,X78,X79] :
( ~ aElement0(X76)
| ~ aRewritingSystem0(X77)
| ~ aElement0(X78)
| ~ aElement0(X79)
| ~ sdtmndtasgtdt0(X76,X77,X78)
| ~ sdtmndtasgtdt0(X78,X77,X79)
| sdtmndtasgtdt0(X76,X77,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRTrans])]) ).
fof(i_0_20,plain,
! [X69,X70,X71,X72] :
( ~ aElement0(X69)
| ~ aRewritingSystem0(X70)
| ~ aElement0(X71)
| ~ aElement0(X72)
| ~ sdtmndtplgtdt0(X69,X70,X71)
| ~ sdtmndtplgtdt0(X71,X70,X72)
| sdtmndtplgtdt0(X69,X70,X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCTrans])]) ).
fof(i_0_21,plain,
! [X73,X74,X75] :
( ( ~ sdtmndtasgtdt0(X73,X74,X75)
| X73 = X75
| sdtmndtplgtdt0(X73,X74,X75)
| ~ aElement0(X73)
| ~ aRewritingSystem0(X74)
| ~ aElement0(X75) )
& ( X73 != X75
| sdtmndtasgtdt0(X73,X74,X75)
| ~ aElement0(X73)
| ~ aRewritingSystem0(X74)
| ~ aElement0(X75) )
& ( ~ sdtmndtplgtdt0(X73,X74,X75)
| sdtmndtasgtdt0(X73,X74,X75)
| ~ aElement0(X73)
| ~ aRewritingSystem0(X74)
| ~ aElement0(X75) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])]) ).
fof(i_0_22,plain,
! [X98,X99,X100] :
( ( ~ isTerminating0(X98)
| ~ aElement0(X99)
| ~ aElement0(X100)
| ~ sdtmndtplgtdt0(X99,X98,X100)
| iLess0(X100,X99)
| ~ aRewritingSystem0(X98) )
& ( aElement0(esk10_1(X98))
| isTerminating0(X98)
| ~ aRewritingSystem0(X98) )
& ( aElement0(esk11_1(X98))
| isTerminating0(X98)
| ~ aRewritingSystem0(X98) )
& ( sdtmndtplgtdt0(esk10_1(X98),X98,esk11_1(X98))
| isTerminating0(X98)
| ~ aRewritingSystem0(X98) )
& ( ~ iLess0(esk11_1(X98),esk10_1(X98))
| isTerminating0(X98)
| ~ aRewritingSystem0(X98) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTermin])])])])]) ).
fof(i_0_23,plain,
! [X61,X62,X63] :
( ~ aElement0(X61)
| ~ aRewritingSystem0(X62)
| ~ aReductOfIn0(X63,X61,X62)
| aElement0(X63) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mReduct])])]) ).
fof(i_0_24,plain,
! [X109,X110] :
( ~ aRewritingSystem0(X109)
| ~ isTerminating0(X109)
| ~ aElement0(X110)
| aNormalFormOfIn0(esk13_2(X109,X110),X110,X109) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTermNF])])])]) ).
cnf(i_0_25,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_26,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_27,plain,
( sdtmndtasgtdt0(X1,X2,esk2_4(X2,X3,X1,X4))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X3,X2,X4)
| ~ isConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_28,plain,
( sdtmndtasgtdt0(X1,X2,esk2_4(X2,X3,X4,X1))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X3,X2,X4)
| ~ sdtmndtasgtdt0(X3,X2,X1)
| ~ isConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_29,plain,
( aElement0(esk6_4(X1,X2,X3,X4))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_30,plain,
( aElement0(esk2_4(X1,X2,X3,X4))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_31,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X1,X3))
| ~ iLess0(X2,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X3) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_32,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
| ~ iLess0(X2,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_33,plain,
( aReductOfIn0(esk12_3(X2,X3,X1),X1,X3)
| aNormalFormOfIn0(X1,X2,X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X2,X3,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_34,plain,
( sdtmndtplgtdt0(esk1_3(X1,X2,X3),X2,X3)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_35,plain,
( aReductOfIn0(esk1_3(X1,X2,X3),X1,X2)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_36,negated_conjecture,
( aElement0(esk17_3(X1,X2,X3))
| ~ iLess0(X1,esk14_0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_37,plain,
( aElement0(esk1_3(X1,X2,X3))
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_38,plain,
( sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_39,plain,
( sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_40,plain,
( sdtmndtplgtdt0(X2,X3,X4)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X3,X4)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_41,plain,
( isLocallyConfluent0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk8_1(X2),X2,X1)
| ~ sdtmndtasgtdt0(esk9_1(X2),X2,X1)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_42,plain,
( isConfluent0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk4_1(X2),X2,X1)
| ~ sdtmndtasgtdt0(esk5_1(X2),X2,X1)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_43,plain,
( ~ aReductOfIn0(X1,X2,X3)
| ~ aNormalFormOfIn0(X2,X4,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_44,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk15_0,xR,X1)
| ~ sdtmndtasgtdt0(esk16_0,xR,X1) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_45,plain,
( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_46,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_47,plain,
( sdtmndtplgtdt0(X2,X3,X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_48,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aNormalFormOfIn0(X3,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_49,plain,
( iLess0(X3,X2)
| ~ isTerminating0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_50,plain,
( aElement0(X1)
| ~ aNormalFormOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_51,plain,
( aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_52,plain,
( aNormalFormOfIn0(esk13_2(X1,X2),X2,X1)
| ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_53,plain,
( sdtmndtasgtdt0(X1,X3,X2)
| X1 != X2
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_54,plain,
( aReductOfIn0(esk9_1(X1),esk7_1(X1),X1)
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_55,plain,
( aReductOfIn0(esk8_1(X1),esk7_1(X1),X1)
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_56,plain,
( sdtmndtplgtdt0(esk10_1(X1),X1,esk11_1(X1))
| isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_57,plain,
( sdtmndtasgtdt0(esk3_1(X1),X1,esk5_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_58,plain,
( sdtmndtasgtdt0(esk3_1(X1),X1,esk4_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_59,plain,
( isTerminating0(X1)
| ~ iLess0(esk11_1(X1),esk10_1(X1))
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_60,negated_conjecture,
sdtmndtasgtdt0(esk14_0,xR,esk16_0),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_61,negated_conjecture,
sdtmndtasgtdt0(esk14_0,xR,esk15_0),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_62,plain,
( aElement0(esk11_1(X1))
| isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_63,plain,
( aElement0(esk10_1(X1))
| isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_64,plain,
( aElement0(esk9_1(X1))
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_65,plain,
( aElement0(esk8_1(X1))
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_66,plain,
( aElement0(esk7_1(X1))
| isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_67,plain,
( aElement0(esk5_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_68,plain,
( aElement0(esk4_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_69,plain,
( aElement0(esk3_1(X1))
| isConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_70,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]),
[final] ).
cnf(i_0_71,hypothesis,
isLocallyConfluent0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]),
[final] ).
cnf(i_0_72,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]),
[final] ).
cnf(i_0_73,negated_conjecture,
aElement0(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_74,negated_conjecture,
aElement0(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_75,negated_conjecture,
aElement0(esk14_0),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_76,axiom,
X1 = X1 ).
cnf(i_0_77,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_78,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_79,axiom,
( X1 != X2
| ~ sdtmndtasgtdt0(X1,X3,X4)
| sdtmndtasgtdt0(X2,X3,X4) ) ).
cnf(i_0_80,axiom,
( X1 != X2
| ~ sdtmndtasgtdt0(X3,X1,X4)
| sdtmndtasgtdt0(X3,X2,X4) ) ).
cnf(i_0_81,axiom,
( X1 != X2
| ~ sdtmndtasgtdt0(X3,X4,X1)
| sdtmndtasgtdt0(X3,X4,X2) ) ).
cnf(i_0_82,axiom,
( X1 != X2
| ~ isTerminating0(X1)
| isTerminating0(X2) ) ).
cnf(i_0_83,axiom,
( X1 != X2
| ~ aElement0(X1)
| aElement0(X2) ) ).
cnf(i_0_84,axiom,
( X1 != X2
| ~ aReductOfIn0(X1,X3,X4)
| aReductOfIn0(X2,X3,X4) ) ).
cnf(i_0_85,axiom,
( X1 != X2
| ~ aReductOfIn0(X3,X1,X4)
| aReductOfIn0(X3,X2,X4) ) ).
cnf(i_0_86,axiom,
( X1 != X2
| ~ aReductOfIn0(X3,X4,X1)
| aReductOfIn0(X3,X4,X2) ) ).
cnf(i_0_87,axiom,
( X1 != X2
| ~ isLocallyConfluent0(X1)
| isLocallyConfluent0(X2) ) ).
cnf(i_0_88,axiom,
( X1 != X2
| ~ aRewritingSystem0(X1)
| aRewritingSystem0(X2) ) ).
cnf(i_0_89,axiom,
( X1 != X2
| ~ isConfluent0(X1)
| isConfluent0(X2) ) ).
cnf(i_0_90,axiom,
( X1 != X2
| ~ iLess0(X1,X3)
| iLess0(X2,X3) ) ).
cnf(i_0_91,axiom,
( X1 != X2
| ~ iLess0(X3,X1)
| iLess0(X3,X2) ) ).
cnf(i_0_92,axiom,
( X1 != X2
| ~ aNormalFormOfIn0(X1,X3,X4)
| aNormalFormOfIn0(X2,X3,X4) ) ).
cnf(i_0_93,axiom,
( X1 != X2
| ~ aNormalFormOfIn0(X3,X1,X4)
| aNormalFormOfIn0(X3,X2,X4) ) ).
cnf(i_0_94,axiom,
( X1 != X2
| ~ aNormalFormOfIn0(X3,X4,X1)
| aNormalFormOfIn0(X3,X4,X2) ) ).
cnf(i_0_95,axiom,
( X1 != X2
| ~ sdtmndtplgtdt0(X1,X3,X4)
| sdtmndtplgtdt0(X2,X3,X4) ) ).
cnf(i_0_96,axiom,
( X1 != X2
| ~ sdtmndtplgtdt0(X3,X1,X4)
| sdtmndtplgtdt0(X3,X2,X4) ) ).
cnf(i_0_97,axiom,
( X1 != X2
| ~ sdtmndtplgtdt0(X3,X4,X1)
| sdtmndtplgtdt0(X3,X4,X2) ) ).
cnf(i_0_229,plain,
iLess0(esk16_0,esk14_0),
inference(equality_inference,[],[227]) ).
cnf(i_0_230,plain,
sdtmndtplgtdt0(esk14_0,xR,esk15_0),
inference(scs_inference,[],[i_0_207,i_0_149]) ).
cnf(i_0_232,plain,
~ aReductOfIn0(esk17_3(esk16_0,esk16_0,esk16_0),esk15_0,xR),
inference(scs_inference,[],[i_0_194,i_0_214,i_0_189,i_0_74,i_0_72,i_0_77,i_0_47]) ).
cnf(i_0_234,plain,
~ sdtmndtplgtdt0(esk17_3(esk16_0,esk16_0,esk16_0),xR,esk15_0),
inference(scs_inference,[],[i_0_194,i_0_216,i_0_214,i_0_189,i_0_74,i_0_72,i_0_77,i_0_47,i_0_46]) ).
cnf(i_0_236,plain,
iLess0(esk15_0,esk14_0),
inference(scs_inference,[],[i_0_206,i_0_194,i_0_216,i_0_214,i_0_189,i_0_70,i_0_74,i_0_75,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49]) ).
cnf(i_0_238,plain,
aElement0(esk17_3(esk15_0,esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_206,i_0_194,i_0_216,i_0_214,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36]) ).
cnf(i_0_240,plain,
sdtmndtasgtdt0(esk15_0,xR,esk17_3(esk15_0,esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_206,i_0_194,i_0_216,i_0_214,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36,i_0_31]) ).
cnf(i_0_242,plain,
~ sdtmndtasgtdt0(esk15_0,xR,esk14_0),
inference(scs_inference,[],[i_0_60,i_0_206,i_0_194,i_0_216,i_0_214,i_0_177,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_73,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36,i_0_31,i_0_38]) ).
cnf(i_0_246,plain,
~ sdtmndtasgtdt0(esk16_0,xR,esk17_3(esk15_0,esk15_0,esk15_0)),
inference(scs_inference,[],[i_0_60,i_0_206,i_0_194,i_0_216,i_0_214,i_0_177,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_73,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36,i_0_31,i_0_38,i_0_68,i_0_44]) ).
cnf(i_0_248,plain,
sdtmndtasgtdt0(esk13_2(xR,esk14_0),xR,esk13_2(xR,esk14_0)),
inference(scs_inference,[],[i_0_60,i_0_206,i_0_223,i_0_194,i_0_216,i_0_214,i_0_177,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_73,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36,i_0_31,i_0_38,i_0_68,i_0_44,i_0_98]) ).
cnf(i_0_250,plain,
aNormalFormOfIn0(esk13_2(xR,esk14_0),esk13_2(xR,esk14_0),xR),
inference(scs_inference,[],[i_0_60,i_0_206,i_0_223,i_0_225,i_0_194,i_0_216,i_0_214,i_0_177,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_73,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36,i_0_31,i_0_38,i_0_68,i_0_44,i_0_98,i_0_33]) ).
cnf(i_0_251,plain,
~ aReductOfIn0(X1,esk13_2(xR,esk14_0),xR),
inference(rename_variables,[],[i_0_225]) ).
cnf(i_0_253,plain,
~ sdtmndtplgtdt0(esk16_0,xR,esk14_0),
inference(scs_inference,[],[i_0_60,i_0_206,i_0_223,i_0_225,i_0_194,i_0_216,i_0_214,i_0_177,i_0_197,i_0_113,i_0_189,i_0_70,i_0_74,i_0_75,i_0_73,i_0_72,i_0_77,i_0_47,i_0_46,i_0_49,i_0_36,i_0_31,i_0_38,i_0_68,i_0_44,i_0_98,i_0_33,i_0_39]) ).
cnf(i_0_276,plain,
~ aNormalFormOfIn0(esk15_0,esk17_3(esk16_0,esk16_0,esk16_0),xR),
inference(scs_inference,[],[i_0_216,i_0_189,i_0_72,i_0_48]) ).
cnf(i_0_304,plain,
esk14_0 != esk17_3(esk16_0,esk16_0,esk16_0),
inference(scs_inference,[],[i_0_216,i_0_61,i_0_79]) ).
cnf(i_0_354,plain,
~ aNormalFormOfIn0(esk17_3(esk16_0,esk16_0,esk16_0),esk15_0,xR),
inference(scs_inference,[],[i_0_208,i_0_74,i_0_72,i_0_48]) ).
cnf(i_0_448,plain,
sdtmndtasgtdt0(esk14_0,xR,esk13_2(xR,esk14_0)),
inference(scs_inference,[],[i_0_221,i_0_75,i_0_72,i_0_48]) ).
cnf(i_0_563,plain,
aNormalFormOfIn0(esk13_2(xR,esk15_0),esk13_2(xR,esk15_0),xR),
inference(equality_inference,[],[562]) ).
cnf(i_0_776,plain,
aNormalFormOfIn0(esk13_2(xR,esk15_0),esk13_2(xR,esk15_0),xR),
inference(equality_inference,[],[774]) ).
cnf(i_0_1055,plain,
sdtmndtasgtdt0(esk16_0,xR,esk17_3(esk16_0,esk16_0,esk16_0)),
inference(equality_inference,[],[1052]) ).
cnf(i_0_261,plain,
esk16_0 != esk17_3(esk15_0,esk15_0,esk15_0),
inference(scs_inference,[],[i_0_238,i_0_246,i_0_73,i_0_72,i_0_53]) ).
cnf(i_0_263,plain,
~ sdtmndtasgtdt0(esk17_3(esk15_0,esk15_0,esk15_0),xR,esk14_0),
inference(scs_inference,[],[i_0_242,i_0_238,i_0_246,i_0_240,i_0_74,i_0_75,i_0_73,i_0_72,i_0_53,i_0_38]) ).
cnf(i_0_265,plain,
~ sdtmndtplgtdt0(esk17_3(esk16_0,esk16_0,esk16_0),xR,esk14_0),
inference(scs_inference,[],[i_0_230,i_0_242,i_0_238,i_0_234,i_0_246,i_0_240,i_0_189,i_0_74,i_0_75,i_0_73,i_0_72,i_0_53,i_0_38,i_0_39]) ).
cnf(i_0_267,plain,
esk17_3(esk15_0,esk15_0,esk15_0) != esk16_0,
inference(scs_inference,[],[i_0_230,i_0_242,i_0_238,i_0_234,i_0_246,i_0_240,i_0_189,i_0_74,i_0_75,i_0_73,i_0_72,i_0_53,i_0_38,i_0_39,i_0_77]) ).
cnf(i_0_269,plain,
~ aNormalFormOfIn0(esk14_0,esk17_3(esk15_0,esk15_0,esk15_0),xR),
inference(scs_inference,[],[i_0_230,i_0_242,i_0_238,i_0_234,i_0_246,i_0_240,i_0_189,i_0_74,i_0_75,i_0_73,i_0_72,i_0_53,i_0_38,i_0_39,i_0_77,i_0_96,i_0_48]) ).
cnf(i_0_271,plain,
~ sdtmndtasgtdt0(esk16_0,xR,esk14_0),
inference(scs_inference,[],[i_0_230,i_0_242,i_0_253,i_0_176,i_0_238,i_0_234,i_0_246,i_0_240,i_0_189,i_0_74,i_0_75,i_0_73,i_0_72,i_0_53,i_0_38,i_0_39,i_0_77,i_0_96,i_0_48,i_0_45]) ).
cnf(c_0_292,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3) ),
i_0_38 ).
cnf(c_0_293,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X1))
| ~ iLess0(X2,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
i_0_32 ).
cnf(c_0_294,hypothesis,
aRewritingSystem0(xR),
i_0_72 ).
cnf(c_0_295,negated_conjecture,
( aElement0(esk17_3(X1,X2,X3))
| ~ iLess0(X1,esk14_0)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
i_0_36 ).
cnf(c_0_296,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk15_0,xR,X1)
| ~ sdtmndtasgtdt0(esk16_0,xR,X1) ),
i_0_44 ).
cnf(c_0_297,plain,
( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X4))
| ~ iLess0(X2,esk14_0)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,X4)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X4) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294])]),c_0_295]) ).
cnf(c_0_298,negated_conjecture,
aElement0(esk16_0),
i_0_73 ).
cnf(c_0_299,negated_conjecture,
( ~ iLess0(X1,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk15_0,xR,esk17_3(X1,X3,X2))
| ~ sdtmndtasgtdt0(esk16_0,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298])]),c_0_295]) ).
cnf(c_0_300,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X1,X3))
| ~ iLess0(X2,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X3) ),
i_0_31 ).
cnf(c_0_301,negated_conjecture,
aElement0(esk15_0),
i_0_74 ).
cnf(c_0_302,negated_conjecture,
( ~ iLess0(X1,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk16_0,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_301])]) ).
cnf(c_0_303,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
i_0_26 ).
cnf(c_0_304,plain,
( aElement0(X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3) ),
i_0_51 ).
cnf(c_0_305,negated_conjecture,
( ~ iLess0(X1,esk14_0)
| ~ iLess0(X2,esk14_0)
| ~ aElement0(esk17_3(X2,esk16_0,X3))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk17_3(X2,esk16_0,X3))
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X2,xR,esk16_0)
| ~ sdtmndtasgtdt0(X2,xR,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_300]),c_0_298])]) ).
cnf(c_0_306,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
| ~ aRewritingSystem0(X2)
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_303,c_0_304]),c_0_304]) ).
cnf(c_0_307,hypothesis,
isLocallyConfluent0(xR),
i_0_71 ).
cnf(c_0_308,plain,
( aElement0(esk6_4(X1,X2,X3,X4))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
i_0_29 ).
cnf(c_0_309,plain,
( ~ iLess0(X1,esk14_0)
| ~ iLess0(X2,esk14_0)
| ~ aElement0(esk17_3(X2,esk16_0,X3))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X2,xR,esk16_0)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_297]),c_0_298])]) ).
cnf(c_0_310,negated_conjecture,
( aElement0(esk17_3(X1,X2,esk6_4(xR,X3,X4,X1)))
| ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aReductOfIn0(X1,X3,xR)
| ~ aElement0(esk6_4(xR,X3,X4,X1))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_306]),c_0_294]),c_0_307])]) ).
cnf(c_0_311,plain,
( aElement0(esk6_4(X1,X2,X3,X4))
| ~ aRewritingSystem0(X1)
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_308,c_0_304]),c_0_304]) ).
cnf(c_0_312,negated_conjecture,
( ~ iLess0(X1,esk14_0)
| ~ iLess0(X2,esk14_0)
| ~ aReductOfIn0(X3,X4,xR)
| ~ aReductOfIn0(X2,X4,xR)
| ~ aElement0(esk6_4(xR,X4,X3,X2))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X2,xR,esk6_4(xR,X4,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,esk6_4(xR,X4,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X2,xR,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_298])]) ).
cnf(c_0_313,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
i_0_25 ).
cnf(c_0_314,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
i_0_47 ).
cnf(c_0_315,plain,
( sdtmndtasgtdt0(X1,xR,esk17_3(X2,X3,X4))
| ~ iLess0(X2,esk14_0)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X4)
| ~ sdtmndtasgtdt0(X2,xR,X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_300]),c_0_294])]),c_0_295]) ).
cnf(c_0_316,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| X1 != X3
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
i_0_53 ).
cnf(c_0_317,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X5))
| ~ aRewritingSystem0(X2)
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X5,X3,X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_306]),c_0_304]),c_0_311]) ).
cnf(c_0_318,plain,
( ~ iLess0(X1,esk14_0)
| ~ iLess0(X2,esk14_0)
| ~ aReductOfIn0(X3,X4,xR)
| ~ aReductOfIn0(X2,X4,xR)
| ~ aElement0(esk6_4(xR,X4,X3,X2))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,xR,esk6_4(xR,X4,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X2,xR,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_306]),c_0_294]),c_0_307])]) ).
cnf(c_0_319,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
| ~ aRewritingSystem0(X2)
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_313,c_0_304]),c_0_304]) ).
cnf(c_0_320,plain,
( sdtmndtplgtdt0(esk1_3(X1,X2,X3),X2,X3)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
i_0_34 ).
cnf(c_0_321,plain,
sdtmndtplgtdt0(esk14_0,xR,esk15_0),
i_0_230 ).
cnf(c_0_322,negated_conjecture,
aElement0(esk14_0),
i_0_75 ).
cnf(c_0_323,plain,
( aElement0(esk1_3(X1,X2,X3))
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
i_0_37 ).
cnf(c_0_324,plain,
( iLess0(X1,X2)
| ~ isTerminating0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X2,X3,X1)
| ~ aRewritingSystem0(X3) ),
i_0_49 ).
cnf(c_0_325,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[c_0_314,c_0_304]) ).
cnf(c_0_326,plain,
( aReductOfIn0(esk1_3(X1,X2,X3),X1,X2)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
i_0_35 ).
cnf(c_0_327,negated_conjecture,
( ~ iLess0(X1,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk16_0,xR,X2)
| ~ sdtmndtasgtdt0(esk15_0,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_315]),c_0_301])]) ).
cnf(c_0_328,plain,
( sdtmndtasgtdt0(X1,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_316]) ).
cnf(c_0_329,negated_conjecture,
( ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X2,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(esk6_4(xR,X3,X2,X4))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,esk6_4(xR,X3,X2,X4))
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(esk16_0,xR,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_317]),c_0_294]),c_0_307]),c_0_298])]) ).
cnf(c_0_330,plain,
( ~ iLess0(X1,esk14_0)
| ~ iLess0(X2,esk14_0)
| ~ aReductOfIn0(X1,X3,xR)
| ~ aReductOfIn0(X2,X3,xR)
| ~ aElement0(esk6_4(xR,X3,X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X2,xR,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_294]),c_0_307])]) ).
cnf(c_0_331,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
i_0_46 ).
cnf(c_0_332,plain,
( sdtmndtplgtdt0(esk1_3(esk14_0,xR,esk15_0),xR,esk15_0)
| aReductOfIn0(esk15_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_294]),c_0_301]),c_0_322])]) ).
cnf(c_0_333,plain,
( aReductOfIn0(esk15_0,esk14_0,xR)
| aElement0(esk1_3(esk14_0,xR,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_321]),c_0_294]),c_0_301]),c_0_322])]) ).
cnf(c_0_334,plain,
( iLess0(X1,X2)
| ~ isTerminating0(X3)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_304]) ).
cnf(c_0_335,plain,
( aReductOfIn0(esk1_3(esk14_0,xR,esk15_0),esk14_0,xR)
| aReductOfIn0(esk15_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_321]),c_0_294]),c_0_301]),c_0_322])]) ).
cnf(c_0_336,hypothesis,
isTerminating0(xR),
i_0_70 ).
cnf(c_0_337,plain,
( X1 = X2
| sdtmndtplgtdt0(X1,X3,X2)
| ~ sdtmndtasgtdt0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
i_0_45 ).
cnf(c_0_338,negated_conjecture,
sdtmndtasgtdt0(esk14_0,xR,esk16_0),
i_0_60 ).
cnf(c_0_339,plain,
( ~ iLess0(X1,esk14_0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk15_0,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,esk16_0)
| ~ sdtmndtasgtdt0(X1,xR,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_298]),c_0_294])]) ).
cnf(c_0_340,plain,
( ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(esk6_4(xR,X2,X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(esk16_0,xR,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_319]),c_0_294]),c_0_307])]) ).
cnf(c_0_341,plain,
( ~ iLess0(X1,esk14_0)
| ~ iLess0(X2,esk14_0)
| ~ aReductOfIn0(X1,X3,xR)
| ~ aReductOfIn0(X2,X3,xR)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(X2,xR,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_311]),c_0_294]),c_0_307])]) ).
cnf(c_0_342,plain,
( aReductOfIn0(esk15_0,esk14_0,xR)
| sdtmndtasgtdt0(esk1_3(esk14_0,xR,esk15_0),xR,esk15_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_294]),c_0_301])]),c_0_333]) ).
cnf(c_0_343,plain,
( iLess0(esk1_3(esk14_0,xR,esk15_0),esk14_0)
| aReductOfIn0(esk15_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]),c_0_294]),c_0_322])]) ).
cnf(c_0_344,negated_conjecture,
( esk14_0 = esk16_0
| sdtmndtplgtdt0(esk14_0,xR,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_294]),c_0_298]),c_0_322])]) ).
cnf(c_0_345,plain,
( ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X2,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(esk6_4(xR,X3,X2,X4))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,esk6_4(xR,X3,X2,X4))
| ~ sdtmndtasgtdt0(X1,xR,esk16_0)
| ~ sdtmndtasgtdt0(esk15_0,xR,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_317]),c_0_294]),c_0_307]),c_0_301])]) ).
cnf(c_0_346,plain,
( ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0)
| ~ sdtmndtasgtdt0(esk16_0,xR,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_311]),c_0_294]),c_0_307])]) ).
cnf(c_0_347,plain,
( aReductOfIn0(esk15_0,esk14_0,xR)
| ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(esk1_3(esk14_0,xR,esk15_0),X2,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk16_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_333]),c_0_343]) ).
cnf(c_0_348,negated_conjecture,
( esk14_0 = esk16_0
| aReductOfIn0(esk1_3(esk14_0,xR,esk16_0),esk14_0,xR)
| aReductOfIn0(esk16_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_344]),c_0_294]),c_0_298]),c_0_322])]) ).
cnf(c_0_349,negated_conjecture,
( esk14_0 = esk16_0
| sdtmndtplgtdt0(esk1_3(esk14_0,xR,esk16_0),xR,esk16_0)
| aReductOfIn0(esk16_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_344]),c_0_294]),c_0_298]),c_0_322])]) ).
cnf(c_0_350,negated_conjecture,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR)
| aElement0(esk1_3(esk14_0,xR,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_344]),c_0_294]),c_0_298]),c_0_322])]) ).
cnf(c_0_351,plain,
( ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(esk6_4(xR,X2,X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk16_0)
| ~ sdtmndtasgtdt0(esk15_0,xR,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_319]),c_0_294]),c_0_307])]) ).
cnf(c_0_352,plain,
( aReductOfIn0(esk15_0,esk14_0,xR)
| ~ aReductOfIn0(esk1_3(esk14_0,xR,esk15_0),X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk16_0,xR,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_342]),c_0_333]),c_0_343]) ).
cnf(c_0_353,plain,
( aReductOfIn0(esk15_0,esk14_0,xR)
| ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X1,esk14_0,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_335]),c_0_322])]) ).
cnf(c_0_354,negated_conjecture,
( esk14_0 = esk16_0
| iLess0(esk1_3(esk14_0,xR,esk16_0),esk14_0)
| aReductOfIn0(esk16_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_348]),c_0_336]),c_0_294]),c_0_322])]) ).
cnf(c_0_355,plain,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR)
| sdtmndtasgtdt0(esk1_3(esk14_0,xR,esk16_0),xR,esk16_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_349]),c_0_294]),c_0_298])]),c_0_350]) ).
cnf(c_0_356,plain,
( ~ iLess0(X1,esk14_0)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X1,xR,esk16_0)
| ~ sdtmndtasgtdt0(esk15_0,xR,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_311]),c_0_294]),c_0_307])]) ).
cnf(c_0_357,plain,
( aReductOfIn0(esk15_0,esk14_0,xR)
| ~ aReductOfIn0(X1,esk14_0,xR)
| ~ sdtmndtasgtdt0(esk16_0,xR,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_335]),c_0_322])]) ).
cnf(c_0_358,negated_conjecture,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR)
| aReductOfIn0(esk15_0,esk14_0,xR) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_355]),c_0_350]),c_0_348]) ).
cnf(c_0_359,plain,
sdtmndtasgtdt0(esk15_0,xR,esk17_3(esk15_0,esk15_0,esk15_0)),
i_0_240 ).
cnf(c_0_360,plain,
aElement0(esk17_3(esk15_0,esk15_0,esk15_0)),
i_0_238 ).
cnf(c_0_361,plain,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR)
| ~ aReductOfIn0(esk1_3(esk14_0,xR,esk16_0),X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk15_0,xR,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_355]),c_0_350]),c_0_354]) ).
cnf(c_0_362,plain,
( esk14_0 = esk16_0
| aReductOfIn0(esk15_0,esk14_0,xR)
| ~ sdtmndtasgtdt0(esk16_0,xR,esk16_0) ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_363,plain,
( sdtmndtasgtdt0(X1,xR,esk17_3(esk15_0,esk15_0,esk15_0))
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_359]),c_0_294]),c_0_301]),c_0_360])]) ).
cnf(c_0_364,negated_conjecture,
( ~ aReductOfIn0(esk16_0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(esk6_4(xR,X1,X2,esk16_0))
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk15_0,xR,esk6_4(xR,X1,X2,esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_306]),c_0_294]),c_0_307])]) ).
cnf(c_0_365,negated_conjecture,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR)
| ~ aReductOfIn0(X1,esk14_0,xR)
| ~ sdtmndtasgtdt0(esk15_0,xR,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_348]),c_0_322])]) ).
cnf(c_0_366,plain,
( esk14_0 = esk16_0
| aReductOfIn0(esk15_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_328]),c_0_294]),c_0_298])]) ).
cnf(c_0_367,plain,
( X1 = esk17_3(esk15_0,esk15_0,esk15_0)
| sdtmndtplgtdt0(X1,xR,esk17_3(esk15_0,esk15_0,esk15_0))
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,esk15_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_363]),c_0_294]),c_0_360])]) ).
cnf(c_0_368,negated_conjecture,
sdtmndtasgtdt0(esk14_0,xR,esk15_0),
i_0_61 ).
cnf(c_0_369,negated_conjecture,
( ~ aReductOfIn0(esk16_0,X1,xR)
| ~ aReductOfIn0(esk15_0,X1,xR)
| ~ aElement0(esk6_4(xR,X1,esk15_0,esk16_0))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_319]),c_0_294]),c_0_307])]) ).
cnf(c_0_370,negated_conjecture,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR)
| ~ sdtmndtasgtdt0(esk15_0,xR,esk15_0) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
cnf(c_0_371,negated_conjecture,
( esk17_3(esk15_0,esk15_0,esk15_0) = esk14_0
| sdtmndtplgtdt0(esk14_0,xR,esk17_3(esk15_0,esk15_0,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_322])]) ).
cnf(c_0_372,plain,
( ~ aReductOfIn0(esk16_0,X1,xR)
| ~ aReductOfIn0(esk15_0,X1,xR)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_311]),c_0_294]),c_0_307])]) ).
cnf(c_0_373,plain,
( esk14_0 = esk16_0
| aReductOfIn0(esk16_0,esk14_0,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_328]),c_0_294]),c_0_301])]) ).
cnf(c_0_374,plain,
( esk17_3(esk15_0,esk15_0,esk15_0) = esk14_0
| sdtmndtasgtdt0(esk14_0,xR,esk17_3(esk15_0,esk15_0,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_371]),c_0_294]),c_0_360]),c_0_322])]) ).
cnf(c_0_375,plain,
esk14_0 = esk16_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_322])]),c_0_366]) ).
cnf(c_0_376,plain,
esk16_0 != esk17_3(esk15_0,esk15_0,esk15_0),
i_0_261 ).
cnf(c_0_377,plain,
~ sdtmndtasgtdt0(esk16_0,xR,esk17_3(esk15_0,esk15_0,esk15_0)),
i_0_246 ).
cnf(c_0_378,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375]),c_0_375]),c_0_376]),c_0_377]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM015+1 : 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
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:18:43 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 262.10/94.96 % Version : CSE_E---1.7
% 262.10/94.96 % Problem : theBenchmark.p
% 262.10/94.96 % SZS status Theorem for theBenchmark.p
% 262.10/94.96 % SZS output start CNFRefutation
% See solution above
% 263.23/96.03 % Total time : 92.328s
%------------------------------------------------------------------------------