TSTP Solution File: COM017+4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n022.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 : 600s
% DateTime : Fri Jul 15 01:22:51 EDT 2022
% Result : Theorem 3.94s 4.20s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(mTermin,axiom,
! [W0] :
( aRewritingSystem0(W0)
=> ( isTerminating0(W0)
<=> ! [W1,W2] :
( ( aElement0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W1,W0,W2)
=> iLess0(W2,W1) ) ) ) ),
input ).
fof(mTermin_0,plain,
! [W0] :
( ~ aRewritingSystem0(W0)
| ( isTerminating0(W0)
<=> ! [W1,W2] :
( ( aElement0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W1,W0,W2)
=> iLess0(W2,W1) ) ) ) ),
inference(orientation,[status(thm)],[mTermin]) ).
fof(mWCRDef,axiom,
! [W0] :
( aRewritingSystem0(W0)
=> ( isLocallyConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& aReductOfIn0(W2,W1,W0)
& aReductOfIn0(W3,W1,W0) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
input ).
fof(mWCRDef_0,plain,
! [W0] :
( ~ aRewritingSystem0(W0)
| ( isLocallyConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& aReductOfIn0(W2,W1,W0)
& aReductOfIn0(W3,W1,W0) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
inference(orientation,[status(thm)],[mWCRDef]) ).
fof(mCRDef,axiom,
! [W0] :
( aRewritingSystem0(W0)
=> ( isConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& sdtmndtasgtdt0(W1,W0,W2)
& sdtmndtasgtdt0(W1,W0,W3) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
input ).
fof(mCRDef_0,plain,
! [W0] :
( ~ aRewritingSystem0(W0)
| ( isConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& sdtmndtasgtdt0(W1,W0,W2)
& sdtmndtasgtdt0(W1,W0,W3) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
inference(orientation,[status(thm)],[mCRDef]) ).
fof(mRelSort,axiom,
! [W0] :
( aRewritingSystem0(W0)
=> $true ),
input ).
fof(mRelSort_0,plain,
! [W0] :
( ~ aRewritingSystem0(W0)
| $true ),
inference(orientation,[status(thm)],[mRelSort]) ).
fof(mElmSort,axiom,
! [W0] :
( aElement0(W0)
=> $true ),
input ).
fof(mElmSort_0,plain,
! [W0] :
( ~ aElement0(W0)
| $true ),
inference(orientation,[status(thm)],[mElmSort]) ).
fof(def_lhs_atom1,axiom,
! [W0] :
( lhs_atom1(W0)
<=> ~ aElement0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [W0] :
( lhs_atom1(W0)
| $true ),
inference(fold_definition,[status(thm)],[mElmSort_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [W0] :
( lhs_atom2(W0)
<=> ~ aRewritingSystem0(W0) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [W0] :
( lhs_atom2(W0)
| $true ),
inference(fold_definition,[status(thm)],[mRelSort_0,def_lhs_atom2]) ).
fof(to_be_clausified_2,plain,
! [W0] :
( lhs_atom2(W0)
| ( isConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& sdtmndtasgtdt0(W1,W0,W2)
& sdtmndtasgtdt0(W1,W0,W3) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
inference(fold_definition,[status(thm)],[mCRDef_0,def_lhs_atom2]) ).
fof(to_be_clausified_3,plain,
! [W0] :
( lhs_atom2(W0)
| ( isLocallyConfluent0(W0)
<=> ! [W1,W2,W3] :
( ( aElement0(W1)
& aElement0(W2)
& aElement0(W3)
& aReductOfIn0(W2,W1,W0)
& aReductOfIn0(W3,W1,W0) )
=> ? [W4] :
( aElement0(W4)
& sdtmndtasgtdt0(W2,W0,W4)
& sdtmndtasgtdt0(W3,W0,W4) ) ) ) ),
inference(fold_definition,[status(thm)],[mWCRDef_0,def_lhs_atom2]) ).
fof(to_be_clausified_4,plain,
! [W0] :
( lhs_atom2(W0)
| ( isTerminating0(W0)
<=> ! [W1,W2] :
( ( aElement0(W1)
& aElement0(W2) )
=> ( sdtmndtplgtdt0(W1,W0,W2)
=> iLess0(W2,W1) ) ) ) ),
inference(fold_definition,[status(thm)],[mTermin_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1] :
( lhs_atom2(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('<stdin>',to_be_clausified_3) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom2(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('<stdin>',to_be_clausified_2) ).
fof(c_0_2,axiom,
! [X1] :
( lhs_atom2(X1)
| ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_3,axiom,
! [X1] :
( lhs_atom2(X1)
| $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_4,axiom,
! [X1] :
( lhs_atom1(X1)
| $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_5,axiom,
! [X1] :
( lhs_atom2(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) ) ) ) ),
c_0_0 ).
fof(c_0_6,axiom,
! [X1] :
( lhs_atom2(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) ) ) ) ),
c_0_1 ).
fof(c_0_7,axiom,
! [X1] :
( lhs_atom2(X1)
| ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
c_0_2 ).
fof(c_0_8,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_9,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_10,plain,
! [X6,X7,X8,X9,X14] :
( ( aElement0(esk5_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( sdtmndtasgtdt0(X8,X6,esk5_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( sdtmndtasgtdt0(X9,X6,esk5_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ aReductOfIn0(X8,X7,X6)
| ~ aReductOfIn0(X9,X7,X6)
| ~ isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( aElement0(esk6_1(X6))
| isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( aElement0(esk7_1(X6))
| isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( aElement0(esk8_1(X6))
| isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( aReductOfIn0(esk7_1(X6),esk6_1(X6),X6)
| isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( aReductOfIn0(esk8_1(X6),esk6_1(X6),X6)
| isLocallyConfluent0(X6)
| lhs_atom2(X6) )
& ( ~ aElement0(X14)
| ~ sdtmndtasgtdt0(esk7_1(X6),X6,X14)
| ~ sdtmndtasgtdt0(esk8_1(X6),X6,X14)
| isLocallyConfluent0(X6)
| lhs_atom2(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_11,plain,
! [X6,X7,X8,X9,X14] :
( ( aElement0(esk1_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| ~ sdtmndtasgtdt0(X7,X6,X9)
| ~ isConfluent0(X6)
| lhs_atom2(X6) )
& ( sdtmndtasgtdt0(X8,X6,esk1_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| ~ sdtmndtasgtdt0(X7,X6,X9)
| ~ isConfluent0(X6)
| lhs_atom2(X6) )
& ( sdtmndtasgtdt0(X9,X6,esk1_4(X6,X7,X8,X9))
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| ~ sdtmndtasgtdt0(X7,X6,X9)
| ~ isConfluent0(X6)
| lhs_atom2(X6) )
& ( aElement0(esk2_1(X6))
| isConfluent0(X6)
| lhs_atom2(X6) )
& ( aElement0(esk3_1(X6))
| isConfluent0(X6)
| lhs_atom2(X6) )
& ( aElement0(esk4_1(X6))
| isConfluent0(X6)
| lhs_atom2(X6) )
& ( sdtmndtasgtdt0(esk2_1(X6),X6,esk3_1(X6))
| isConfluent0(X6)
| lhs_atom2(X6) )
& ( sdtmndtasgtdt0(esk2_1(X6),X6,esk4_1(X6))
| isConfluent0(X6)
| lhs_atom2(X6) )
& ( ~ aElement0(X14)
| ~ sdtmndtasgtdt0(esk3_1(X6),X6,X14)
| ~ sdtmndtasgtdt0(esk4_1(X6),X6,X14)
| isConfluent0(X6)
| lhs_atom2(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_12,plain,
! [X4,X5,X6] :
( ( ~ isTerminating0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6)
| ~ sdtmndtplgtdt0(X5,X4,X6)
| iLess0(X6,X5)
| lhs_atom2(X4) )
& ( aElement0(esk9_1(X4))
| isTerminating0(X4)
| lhs_atom2(X4) )
& ( aElement0(esk10_1(X4))
| isTerminating0(X4)
| lhs_atom2(X4) )
& ( sdtmndtplgtdt0(esk9_1(X4),X4,esk10_1(X4))
| isTerminating0(X4)
| lhs_atom2(X4) )
& ( ~ iLess0(esk10_1(X4),esk9_1(X4))
| isTerminating0(X4)
| lhs_atom2(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
fof(c_0_13,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X4,X1,esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X2,X1,esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X4,X1,esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X3,X1,esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( lhs_atom2(X1)
| aElement0(esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( lhs_atom2(X1)
| aElement0(esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| ~ sdtmndtasgtdt0(esk8_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk7_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| ~ sdtmndtasgtdt0(esk4_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk3_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( lhs_atom2(X1)
| iLess0(X2,X3)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| sdtmndtplgtdt0(esk9_1(X1),X1,esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aReductOfIn0(esk7_1(X1),esk6_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aReductOfIn0(esk8_1(X1),esk6_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk2_1(X1),X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk2_1(X1),X1,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| ~ iLess0(esk10_1(X1),esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| aElement0(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| aElement0(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aElement0(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aElement0(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aElement0(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| aElement0(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| aElement0(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| aElement0(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_39,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_40,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X4,X1,esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
c_0_15,
[final] ).
cnf(c_0_41,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X2,X1,esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
c_0_16,
[final] ).
cnf(c_0_42,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X4,X1,esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
c_0_17,
[final] ).
cnf(c_0_43,plain,
( lhs_atom2(X1)
| sdtmndtasgtdt0(X3,X1,esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
c_0_18,
[final] ).
cnf(c_0_44,plain,
( lhs_atom2(X1)
| aElement0(esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
c_0_19,
[final] ).
cnf(c_0_45,plain,
( lhs_atom2(X1)
| aElement0(esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
c_0_20,
[final] ).
cnf(c_0_46,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| ~ sdtmndtasgtdt0(esk8_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk7_1(X1),X1,X2)
| ~ aElement0(X2) ),
c_0_21,
[final] ).
cnf(c_0_47,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| ~ sdtmndtasgtdt0(esk4_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(esk3_1(X1),X1,X2)
| ~ aElement0(X2) ),
c_0_22,
[final] ).
cnf(c_0_48,plain,
( lhs_atom2(X1)
| iLess0(X2,X3)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
c_0_23,
[final] ).
cnf(c_0_49,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| sdtmndtplgtdt0(esk9_1(X1),X1,esk10_1(X1)) ),
c_0_24,
[final] ).
cnf(c_0_50,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aReductOfIn0(esk7_1(X1),esk6_1(X1),X1) ),
c_0_25,
[final] ).
cnf(c_0_51,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aReductOfIn0(esk8_1(X1),esk6_1(X1),X1) ),
c_0_26,
[final] ).
cnf(c_0_52,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk2_1(X1),X1,esk3_1(X1)) ),
c_0_27,
[final] ).
cnf(c_0_53,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(esk2_1(X1),X1,esk4_1(X1)) ),
c_0_28,
[final] ).
cnf(c_0_54,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| ~ iLess0(esk10_1(X1),esk9_1(X1)) ),
c_0_29,
[final] ).
cnf(c_0_55,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| aElement0(esk9_1(X1)) ),
c_0_30,
[final] ).
cnf(c_0_56,plain,
( lhs_atom2(X1)
| isTerminating0(X1)
| aElement0(esk10_1(X1)) ),
c_0_31,
[final] ).
cnf(c_0_57,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aElement0(esk6_1(X1)) ),
c_0_32,
[final] ).
cnf(c_0_58,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aElement0(esk7_1(X1)) ),
c_0_33,
[final] ).
cnf(c_0_59,plain,
( lhs_atom2(X1)
| isLocallyConfluent0(X1)
| aElement0(esk8_1(X1)) ),
c_0_34,
[final] ).
cnf(c_0_60,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| aElement0(esk2_1(X1)) ),
c_0_35,
[final] ).
cnf(c_0_61,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| aElement0(esk3_1(X1)) ),
c_0_36,
[final] ).
cnf(c_0_62,plain,
( lhs_atom2(X1)
| isConfluent0(X1)
| aElement0(esk4_1(X1)) ),
c_0_37,
[final] ).
cnf(c_0_63,plain,
$true,
c_0_38,
[final] ).
cnf(c_0_64,plain,
$true,
c_0_39,
[final] ).
% End CNF derivation
cnf(c_0_40_0,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_40,def_lhs_atom2]) ).
cnf(c_0_41_0,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,sk1_esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_41,def_lhs_atom2]) ).
cnf(c_0_42_0,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X4,X1,sk1_esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_42,def_lhs_atom2]) ).
cnf(c_0_43_0,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X3,X1,sk1_esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_43,def_lhs_atom2]) ).
cnf(c_0_44_0,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk5_4(X1,X3,X4,X2))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X2,X3,X1)
| ~ aReductOfIn0(X4,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3) ),
inference(unfold_definition,[status(thm)],[c_0_44,def_lhs_atom2]) ).
cnf(c_0_45_0,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(sk1_esk1_4(X1,X2,X4,X3))
| ~ isConfluent0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_45,def_lhs_atom2]) ).
cnf(c_0_46_0,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| ~ sdtmndtasgtdt0(sk1_esk8_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk7_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_46,def_lhs_atom2]) ).
cnf(c_0_47_0,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| ~ sdtmndtasgtdt0(sk1_esk4_1(X1),X1,X2)
| ~ sdtmndtasgtdt0(sk1_esk3_1(X1),X1,X2)
| ~ aElement0(X2) ),
inference(unfold_definition,[status(thm)],[c_0_47,def_lhs_atom2]) ).
cnf(c_0_48_0,axiom,
( ~ aRewritingSystem0(X1)
| iLess0(X2,X3)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ isTerminating0(X1) ),
inference(unfold_definition,[status(thm)],[c_0_48,def_lhs_atom2]) ).
cnf(c_0_49_0,axiom,
( ~ aRewritingSystem0(X1)
| isTerminating0(X1)
| sdtmndtplgtdt0(sk1_esk9_1(X1),X1,sk1_esk10_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_49,def_lhs_atom2]) ).
cnf(c_0_50_0,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| aReductOfIn0(sk1_esk7_1(X1),sk1_esk6_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_50,def_lhs_atom2]) ).
cnf(c_0_51_0,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| aReductOfIn0(sk1_esk8_1(X1),sk1_esk6_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_51,def_lhs_atom2]) ).
cnf(c_0_52_0,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(sk1_esk2_1(X1),X1,sk1_esk3_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_52,def_lhs_atom2]) ).
cnf(c_0_53_0,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| sdtmndtasgtdt0(sk1_esk2_1(X1),X1,sk1_esk4_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_53,def_lhs_atom2]) ).
cnf(c_0_54_0,axiom,
( ~ aRewritingSystem0(X1)
| isTerminating0(X1)
| ~ iLess0(sk1_esk10_1(X1),sk1_esk9_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_54,def_lhs_atom2]) ).
cnf(c_0_55_0,axiom,
( ~ aRewritingSystem0(X1)
| isTerminating0(X1)
| aElement0(sk1_esk9_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_55,def_lhs_atom2]) ).
cnf(c_0_56_0,axiom,
( ~ aRewritingSystem0(X1)
| isTerminating0(X1)
| aElement0(sk1_esk10_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_56,def_lhs_atom2]) ).
cnf(c_0_57_0,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| aElement0(sk1_esk6_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_57,def_lhs_atom2]) ).
cnf(c_0_58_0,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| aElement0(sk1_esk7_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_58,def_lhs_atom2]) ).
cnf(c_0_59_0,axiom,
( ~ aRewritingSystem0(X1)
| isLocallyConfluent0(X1)
| aElement0(sk1_esk8_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_59,def_lhs_atom2]) ).
cnf(c_0_60_0,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(sk1_esk2_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_60,def_lhs_atom2]) ).
cnf(c_0_61_0,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(sk1_esk3_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_61,def_lhs_atom2]) ).
cnf(c_0_62_0,axiom,
( ~ aRewritingSystem0(X1)
| isConfluent0(X1)
| aElement0(sk1_esk4_1(X1)) ),
inference(unfold_definition,[status(thm)],[c_0_62,def_lhs_atom2]) ).
cnf(c_0_63_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_63,def_true]) ).
cnf(c_0_64_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_64,def_true]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,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('<stdin>',mTCDef) ).
fof(c_0_1_002,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('<stdin>',mNFRDef) ).
fof(c_0_2_003,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('<stdin>',mTCTrans) ).
fof(c_0_3_004,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('<stdin>',mTCRTrans) ).
fof(c_0_4_005,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('<stdin>',mTCRDef) ).
fof(c_0_5_006,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('<stdin>',mReduct) ).
fof(c_0_6_007,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
file('<stdin>',mTermNF) ).
fof(c_0_7_008,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mWFOrd) ).
fof(c_0_8_009,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
=> $true ) ),
file('<stdin>',mTCbr) ).
fof(c_0_9_010,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) ) ) ) ),
c_0_0 ).
fof(c_0_10_011,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
c_0_1 ).
fof(c_0_11_012,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) ) ),
c_0_2 ).
fof(c_0_12_013,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) ) ),
c_0_3 ).
fof(c_0_13_014,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
c_0_4 ).
fof(c_0_14_015,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
c_0_5 ).
fof(c_0_15_016,axiom,
! [X1] :
( ( aRewritingSystem0(X1)
& isTerminating0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ? [X3] : aNormalFormOfIn0(X3,X2,X1) ) ),
c_0_6 ).
fof(c_0_16_017,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_17_018,plain,
! [X1,X2,X3] : $true,
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_18_019,plain,
! [X5,X6,X7,X9] :
( ( aElement0(esk3_3(X5,X6,X7))
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( aReductOfIn0(esk3_3(X5,X6,X7),X5,X6)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( sdtmndtplgtdt0(esk3_3(X5,X6,X7),X6,X7)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,X5,X6)
| sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X5,X6)
| ~ sdtmndtplgtdt0(X9,X6,X7)
| sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_19_020,plain,
! [X5,X6,X7,X8,X9] :
( ( aElement0(X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( sdtmndtasgtdt0(X5,X6,X7)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( ~ aReductOfIn0(X8,X7,X6)
| ~ aNormalFormOfIn0(X7,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) )
& ( ~ aElement0(X9)
| ~ sdtmndtasgtdt0(X5,X6,X9)
| aReductOfIn0(esk2_3(X5,X6,X9),X9,X6)
| aNormalFormOfIn0(X9,X5,X6)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6) ) ),
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)],[c_0_10])])])])])]) ).
fof(c_0_20_021,plain,
! [X5,X6,X7,X8] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ sdtmndtplgtdt0(X7,X6,X8)
| sdtmndtplgtdt0(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])]) ).
fof(c_0_21_022,plain,
! [X5,X6,X7,X8] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| sdtmndtasgtdt0(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_22_023,plain,
! [X4,X5,X6] :
( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( X4 != X6
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( ~ sdtmndtplgtdt0(X4,X5,X6)
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_23_024,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aReductOfIn0(X6,X4,X5)
| aElement0(X6) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_24_025,plain,
! [X4,X5] :
( ~ aRewritingSystem0(X4)
| ~ isTerminating0(X4)
| ~ aElement0(X5)
| aNormalFormOfIn0(esk1_2(X4,X5),X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_25_026,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_26_027,plain,
! [X4,X5,X6] : $true,
inference(variable_rename,[status(thm)],[c_0_17]) ).
cnf(c_0_27_028,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk3_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_029,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk3_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29_030,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk2_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30_031,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk3_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31_032,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32_033,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33_034,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34_035,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35_036,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36_037,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37_038,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38_039,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39_040,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40_041,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41_042,plain,
( aNormalFormOfIn0(esk1_2(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_42_043,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43_044,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44_045,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45_046,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk3_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_27,
[final] ).
cnf(c_0_46_047,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk3_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_28,
[final] ).
cnf(c_0_47_048,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk2_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
c_0_29,
[final] ).
cnf(c_0_48_049,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk3_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_30,
[final] ).
cnf(c_0_49_050,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
c_0_31,
[final] ).
cnf(c_0_50_051,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
c_0_32,
[final] ).
cnf(c_0_51_052,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
c_0_33,
[final] ).
cnf(c_0_52_053,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
c_0_34,
[final] ).
cnf(c_0_53_054,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
c_0_35,
[final] ).
cnf(c_0_54_055,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
c_0_36,
[final] ).
cnf(c_0_55_056,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_37,
[final] ).
cnf(c_0_56_057,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
c_0_38,
[final] ).
cnf(c_0_57_058,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
c_0_39,
[final] ).
cnf(c_0_58_059,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
c_0_40,
[final] ).
cnf(c_0_59_060,plain,
( aNormalFormOfIn0(esk1_2(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
c_0_41,
[final] ).
cnf(c_0_60_061,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
c_0_42,
[final] ).
cnf(c_0_61_062,plain,
$true,
c_0_43,
[final] ).
cnf(c_0_62_063,plain,
$true,
c_0_44,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_45_1,axiom,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(sk2_esk3_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_2,axiom,
( aReductOfIn0(sk2_esk3_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_3,axiom,
( ~ aElement0(X1)
| aReductOfIn0(sk2_esk3_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk2_esk3_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk2_esk3_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_6,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk2_esk3_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_1,axiom,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(sk2_esk3_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_2,axiom,
( sdtmndtplgtdt0(sk2_esk3_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_3,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk3_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk3_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk3_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_6,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk3_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_1,axiom,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(sk2_esk2_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_2,axiom,
( aReductOfIn0(sk2_esk2_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_3,axiom,
( ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk2_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_4,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk2_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_5,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk2_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_6,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk2_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_1,axiom,
( aReductOfIn0(X1,X3,X2)
| aElement0(sk2_esk3_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( aElement0(sk2_esk3_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_3,axiom,
( ~ aElement0(X1)
| aElement0(sk2_esk3_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk3_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk3_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_6,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk3_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_1,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_2,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_5,axiom,
( ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_6,axiom,
( ~ aReductOfIn0(X4,X3,X2)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_7,axiom,
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X3,X2)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_50_1,axiom,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_2,axiom,
( ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_3,axiom,
( ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_4,axiom,
( ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_5,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_6,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_7,axiom,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| sdtmndtplgtdt0(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_1,axiom,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_2,axiom,
( ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_3,axiom,
( ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_4,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_5,axiom,
( ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_6,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_7,axiom,
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| sdtmndtasgtdt0(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_1,axiom,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_2,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_3,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_4,axiom,
( ~ aReductOfIn0(X4,X3,X1)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_1,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_2,axiom,
( X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_3,axiom,
( ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_6,axiom,
( ~ sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| X3 = X1
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_1,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_2,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_5,axiom,
( ~ aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_1,axiom,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_2,axiom,
( ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_5,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_1,axiom,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_2,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_3,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_4,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_1,axiom,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_2,axiom,
( ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_3,axiom,
( ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_4,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_58_1,axiom,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(X3)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_3,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aElement0(X3)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_4,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_59_1,axiom,
( aNormalFormOfIn0(sk2_esk1_2(X1,X2),X2,X1)
| ~ aElement0(X2)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_2,axiom,
( ~ aElement0(X2)
| aNormalFormOfIn0(sk2_esk1_2(X1,X2),X2,X1)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_3,axiom,
( ~ isTerminating0(X1)
| ~ aElement0(X2)
| aNormalFormOfIn0(sk2_esk1_2(X1,X2),X2,X1)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_4,axiom,
( ~ aRewritingSystem0(X1)
| ~ isTerminating0(X1)
| ~ aElement0(X2)
| aNormalFormOfIn0(sk2_esk1_2(X1,X2),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_60_1,axiom,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_2,axiom,
( ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_60_5,axiom,
( X3 != X1
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_60]) ).
cnf(c_0_61_1,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_61]) ).
cnf(c_0_62_1,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_62]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_064,hypothesis,
( ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& aReductOfIn0(X2,X1,xR)
& aReductOfIn0(X3,X1,xR) )
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2) )
=> iLess0(X2,X1) ) )
& isTerminating0(xR) ),
file('<stdin>',m__656_01) ).
fof(c_0_1_065,hypothesis,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( X1 = X3
| aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) )
| sdtmndtplgtdt0(X1,xR,X3)
| sdtmndtasgtdt0(X1,xR,X3) ) )
=> ( iLess0(X1,xa)
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
file('<stdin>',m__715) ).
fof(c_0_2_066,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
file('<stdin>',m__779) ).
fof(c_0_3_067,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
file('<stdin>',m__755) ).
fof(c_0_4_068,hypothesis,
( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ),
file('<stdin>',m__731_02) ).
fof(c_0_5_069,conjecture,
? [X1] :
( aElement0(X1)
& ( xu = X1
| aReductOfIn0(X1,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xu,xR,X1)
| sdtmndtasgtdt0(xu,xR,X1) )
& ( xv = X1
| aReductOfIn0(X1,xv,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xv,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xv,xR,X1)
| sdtmndtasgtdt0(xv,xR,X1) ) ),
file('<stdin>',m__) ).
fof(c_0_6_070,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('<stdin>',m__731) ).
fof(c_0_7_071,hypothesis,
aRewritingSystem0(xR),
file('<stdin>',m__656) ).
fof(c_0_8_072,plain,
! [X3,X2,X1] :
( epred1_3(X1,X2,X3)
<=> ( ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( X1 = X3
| aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) )
| sdtmndtplgtdt0(X1,xR,X3)
| sdtmndtasgtdt0(X1,xR,X3) ) ) ),
introduced(definition) ).
fof(c_0_9_073,plain,
! [X1] :
( epred2_1(X1)
<=> ( ( xu = X1
| aReductOfIn0(X1,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xu,xR,X1)
| sdtmndtasgtdt0(xu,xR,X1) )
& ( xv = X1
| aReductOfIn0(X1,xv,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xv,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xv,xR,X1)
| sdtmndtasgtdt0(xv,xR,X1) ) ) ),
introduced(definition) ).
fof(c_0_10_074,hypothesis,
( ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& aReductOfIn0(X2,X1,xR)
& aReductOfIn0(X3,X1,xR) )
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2) )
=> iLess0(X2,X1) ) )
& isTerminating0(xR) ),
c_0_0 ).
fof(c_0_11_075,hypothesis,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& epred1_3(X1,X2,X3) )
=> ( iLess0(X1,xa)
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
inference(apply_def,[status(thm)],[c_0_1,c_0_8,theory(equality,[symmetry])]) ).
fof(c_0_12_076,plain,
! [X3,X2,X1] :
( ( ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( X1 = X3
| aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) )
| sdtmndtplgtdt0(X1,xR,X3)
| sdtmndtasgtdt0(X1,xR,X3) ) )
=> epred1_3(X1,X2,X3) ),
inference(split_equiv,[status(thm)],[c_0_8]) ).
fof(c_0_13_077,plain,
! [X1] :
( ( ( xu = X1
| aReductOfIn0(X1,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xu,xR,X1)
| sdtmndtasgtdt0(xu,xR,X1) )
& ( xv = X1
| aReductOfIn0(X1,xv,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xv,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xv,xR,X1)
| sdtmndtasgtdt0(xv,xR,X1) ) )
=> epred2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
fof(c_0_14_078,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
c_0_2 ).
fof(c_0_15_079,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
c_0_3 ).
fof(c_0_16_080,hypothesis,
( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ),
c_0_4 ).
fof(c_0_17_081,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& epred2_1(X1) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_5]),c_0_9,theory(equality,[symmetry])]) ).
fof(c_0_18_082,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
c_0_6 ).
fof(c_0_19_083,hypothesis,
aRewritingSystem0(xR),
c_0_7 ).
fof(c_0_20_084,hypothesis,
! [X6,X7,X8,X12,X13,X14] :
( ( aElement0(esk1_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk2_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X7,xR)
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk2_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk1_3(X6,X7,X8),X7,xR)
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk2_3(X6,X7,X8),xR,esk1_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X7,xR)
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk1_3(X6,X7,X8))
| X7 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk1_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk3_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X8,xR)
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk3_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk1_3(X6,X7,X8),X8,xR)
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk3_3(X6,X7,X8),xR,esk1_3(X6,X7,X8))
| aReductOfIn0(esk1_3(X6,X7,X8),X8,xR)
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk1_3(X6,X7,X8))
| X8 = esk1_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk1_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& isLocallyConfluent0(xR)
& ( ~ aReductOfIn0(X13,X12,xR)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ sdtmndtplgtdt0(X12,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& isTerminating0(xR) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_21_085,hypothesis,
! [X6,X7,X8] :
( ( aElement0(esk4_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X7,xR)
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk4_3(X6,X7,X8),X7,xR)
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(esk5_3(X6,X7,X8),xR,esk4_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X7,xR)
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk4_3(X6,X7,X8))
| X7 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk4_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X8,xR)
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk4_3(X6,X7,X8),X8,xR)
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk4_3(X6,X7,X8))
| aReductOfIn0(esk4_3(X6,X7,X8),X8,xR)
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk4_3(X6,X7,X8))
| X8 = esk4_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk4_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ epred1_3(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_22_086,plain,
! [X5,X6,X7,X8,X9] :
( ( X7 != X5
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| X7 != X6
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X6,X7,xR)
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X7,xR)
| ~ sdtmndtplgtdt0(X8,xR,X6)
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ sdtmndtplgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( X7 != X5
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aReductOfIn0(X5,X7,xR)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X7,xR)
| ~ sdtmndtplgtdt0(X9,xR,X5)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) )
& ( ~ sdtmndtasgtdt0(X7,xR,X5)
| ~ sdtmndtasgtdt0(X7,xR,X6)
| epred1_3(X7,X6,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_23_087,plain,
! [X3,X4,X5] :
( ( xv != X3
| xu != X3
| epred2_1(X3) )
& ( ~ aReductOfIn0(X3,xv,xR)
| xu != X3
| epred2_1(X3) )
& ( ~ aElement0(X5)
| ~ aReductOfIn0(X5,xv,xR)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| xu != X3
| epred2_1(X3) )
& ( ~ sdtmndtplgtdt0(xv,xR,X3)
| xu != X3
| epred2_1(X3) )
& ( ~ sdtmndtasgtdt0(xv,xR,X3)
| xu != X3
| epred2_1(X3) )
& ( xv != X3
| ~ aReductOfIn0(X3,xu,xR)
| epred2_1(X3) )
& ( ~ aReductOfIn0(X3,xv,xR)
| ~ aReductOfIn0(X3,xu,xR)
| epred2_1(X3) )
& ( ~ aElement0(X5)
| ~ aReductOfIn0(X5,xv,xR)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ aReductOfIn0(X3,xu,xR)
| epred2_1(X3) )
& ( ~ sdtmndtplgtdt0(xv,xR,X3)
| ~ aReductOfIn0(X3,xu,xR)
| epred2_1(X3) )
& ( ~ sdtmndtasgtdt0(xv,xR,X3)
| ~ aReductOfIn0(X3,xu,xR)
| epred2_1(X3) )
& ( xv != X3
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xu,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| epred2_1(X3) )
& ( ~ aReductOfIn0(X3,xv,xR)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xu,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| epred2_1(X3) )
& ( ~ aElement0(X5)
| ~ aReductOfIn0(X5,xv,xR)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xu,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| epred2_1(X3) )
& ( ~ sdtmndtplgtdt0(xv,xR,X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xu,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| epred2_1(X3) )
& ( ~ sdtmndtasgtdt0(xv,xR,X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X4,xu,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| epred2_1(X3) )
& ( xv != X3
| ~ sdtmndtplgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ aReductOfIn0(X3,xv,xR)
| ~ sdtmndtplgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ aElement0(X5)
| ~ aReductOfIn0(X5,xv,xR)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ sdtmndtplgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ sdtmndtplgtdt0(xv,xR,X3)
| ~ sdtmndtplgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ sdtmndtasgtdt0(xv,xR,X3)
| ~ sdtmndtplgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( xv != X3
| ~ sdtmndtasgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ aReductOfIn0(X3,xv,xR)
| ~ sdtmndtasgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ aElement0(X5)
| ~ aReductOfIn0(X5,xv,xR)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ sdtmndtasgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ sdtmndtplgtdt0(xv,xR,X3)
| ~ sdtmndtasgtdt0(xu,xR,X3)
| epred2_1(X3) )
& ( ~ sdtmndtasgtdt0(xv,xR,X3)
| ~ sdtmndtasgtdt0(xu,xR,X3)
| epred2_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_24_088,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( aElement0(esk10_0)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( aReductOfIn0(esk10_0,xv,xR)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( sdtmndtplgtdt0(esk10_0,xR,xc)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( sdtmndtplgtdt0(xv,xR,xc)
| xv = xc )
& sdtmndtasgtdt0(xv,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_14])])]) ).
fof(c_0_25_089,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( aElement0(esk9_0)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( aReductOfIn0(esk9_0,xu,xR)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(esk9_0,xR,xb)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(xu,xR,xb)
| xu = xb )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_15])])]) ).
fof(c_0_26_090,hypothesis,
( ( aElement0(esk7_0)
| aReductOfIn0(xb,xa,xR) )
& ( aReductOfIn0(esk7_0,xa,xR)
| aReductOfIn0(xb,xa,xR) )
& ( sdtmndtplgtdt0(esk7_0,xR,xb)
| aReductOfIn0(xb,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aElement0(esk8_0)
| aReductOfIn0(xc,xa,xR) )
& ( aReductOfIn0(esk8_0,xa,xR)
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(esk8_0,xR,xc)
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_16])])]) ).
fof(c_0_27_091,negated_conjecture,
! [X2] :
( ~ aElement0(X2)
| ~ epred2_1(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_28_092,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
c_0_18 ).
fof(c_0_29_093,hypothesis,
aRewritingSystem0(xR),
c_0_19 ).
cnf(c_0_30_094,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| sdtmndtplgtdt0(esk2_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31_095,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| sdtmndtplgtdt0(esk3_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32_096,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| sdtmndtplgtdt0(esk5_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33_097,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| sdtmndtplgtdt0(esk6_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34_098,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aReductOfIn0(esk2_3(X2,X3,X1),X3,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35_099,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aReductOfIn0(esk3_3(X2,X3,X1),X1,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36_100,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aElement0(esk2_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37_101,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aElement0(esk3_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38_102,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aReductOfIn0(esk5_3(X1,X2,X3),X2,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_39_103,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aReductOfIn0(esk6_3(X1,X2,X3),X3,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40_104,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aElement0(esk5_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_41_105,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aElement0(esk6_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_42_106,hypothesis,
( X3 = esk1_3(X2,X3,X1)
| sdtmndtplgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43_107,hypothesis,
( X1 = esk1_3(X2,X3,X1)
| sdtmndtplgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44_108,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ aReductOfIn0(X5,X1,xR)
| ~ aElement0(X5) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_45_109,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,xv,xR)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_46_110,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_47_111,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_48_112,hypothesis,
( X2 = esk4_3(X1,X2,X3)
| sdtmndtplgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_49_113,hypothesis,
( X3 = esk4_3(X1,X2,X3)
| sdtmndtplgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_50_114,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_51_115,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52_116,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_53_117,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_54_118,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_55_119,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_56_120,hypothesis,
( aElement0(esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_57_121,hypothesis,
( sdtmndtasgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_58_122,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_59_123,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_60_124,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_61_125,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_62_126,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_63_127,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_64_128,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_65,hypothesis,
( aElement0(esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_66,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_67,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_68,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_69,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_70,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_71,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_72,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_73,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_74,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_75,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_76,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_77,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_78,plain,
( epred2_1(X1)
| xu != X1
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_79,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| xv != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_80,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aReductOfIn0(X1,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_81,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_82,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_83,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ aReductOfIn0(X1,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_84,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_85,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_86,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aReductOfIn0(X1,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_87,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_88,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_89,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_90,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_91,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_92,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_93,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_94,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_95,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_96,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_97,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aReductOfIn0(esk10_0,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_98,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| sdtmndtplgtdt0(esk10_0,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_99,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aReductOfIn0(esk9_0,xu,xR) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_100,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| sdtmndtplgtdt0(esk9_0,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_101,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(esk7_0,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_102,hypothesis,
( aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(esk7_0,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_103,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aReductOfIn0(esk8_0,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_104,hypothesis,
( aReductOfIn0(xc,xa,xR)
| sdtmndtplgtdt0(esk8_0,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_105,plain,
( epred2_1(X1)
| xu != X1
| ~ aReductOfIn0(X1,xv,xR) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_106,plain,
( epred2_1(X1)
| xu != X1
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_107,plain,
( epred2_1(X1)
| xu != X1
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_108,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| xv != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_109,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| xv != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_110,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| xv != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_111,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_112,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aElement0(esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_113,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aElement0(esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_114,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aElement0(esk7_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_115,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aElement0(esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_116,hypothesis,
( xv = xc
| sdtmndtplgtdt0(xv,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_117,hypothesis,
( xu = xb
| sdtmndtplgtdt0(xu,xR,xb) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_118,hypothesis,
aReductOfIn0(xv,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_119,hypothesis,
sdtmndtasgtdt0(xv,xR,xc),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_120,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_121,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_122,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_123,hypothesis,
sdtmndtplgtdt0(xa,xR,xc),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_124,negated_conjecture,
( ~ epred2_1(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_125,plain,
( epred2_1(X1)
| xu != X1
| xv != X1 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_126,hypothesis,
aElement0(xv),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_127,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_128,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_129,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_130,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_131,hypothesis,
isLocallyConfluent0(xR),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_132,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_133,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_134,hypothesis,
( esk1_3(X2,X3,X1) = X3
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| sdtmndtplgtdt0(esk2_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_30,
[final] ).
cnf(c_0_135,hypothesis,
( esk1_3(X2,X3,X1) = X1
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| sdtmndtplgtdt0(esk3_3(X2,X3,X1),xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_31,
[final] ).
cnf(c_0_136,hypothesis,
( esk4_3(X1,X2,X3) = X2
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| sdtmndtplgtdt0(esk5_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_32,
[final] ).
cnf(c_0_137,hypothesis,
( esk4_3(X1,X2,X3) = X3
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| sdtmndtplgtdt0(esk6_3(X1,X2,X3),xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_33,
[final] ).
cnf(c_0_138,hypothesis,
( esk1_3(X2,X3,X1) = X3
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aReductOfIn0(esk2_3(X2,X3,X1),X3,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_34,
[final] ).
cnf(c_0_139,hypothesis,
( esk1_3(X2,X3,X1) = X1
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aReductOfIn0(esk3_3(X2,X3,X1),X1,xR)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_35,
[final] ).
cnf(c_0_140,hypothesis,
( esk1_3(X2,X3,X1) = X3
| aReductOfIn0(esk1_3(X2,X3,X1),X3,xR)
| aElement0(esk2_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_36,
[final] ).
cnf(c_0_141,hypothesis,
( esk1_3(X2,X3,X1) = X1
| aReductOfIn0(esk1_3(X2,X3,X1),X1,xR)
| aElement0(esk3_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_37,
[final] ).
cnf(c_0_142,hypothesis,
( esk4_3(X1,X2,X3) = X2
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aReductOfIn0(esk5_3(X1,X2,X3),X2,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_38,
[final] ).
cnf(c_0_143,hypothesis,
( esk4_3(X1,X2,X3) = X3
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aReductOfIn0(esk6_3(X1,X2,X3),X3,xR)
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_39,
[final] ).
cnf(c_0_144,hypothesis,
( esk4_3(X1,X2,X3) = X2
| aReductOfIn0(esk4_3(X1,X2,X3),X2,xR)
| aElement0(esk5_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_40,
[final] ).
cnf(c_0_145,hypothesis,
( esk4_3(X1,X2,X3) = X3
| aReductOfIn0(esk4_3(X1,X2,X3),X3,xR)
| aElement0(esk6_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_41,
[final] ).
cnf(c_0_146,hypothesis,
( esk1_3(X2,X3,X1) = X3
| sdtmndtplgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_42,
[final] ).
cnf(c_0_147,hypothesis,
( esk1_3(X2,X3,X1) = X1
| sdtmndtplgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_43,
[final] ).
cnf(c_0_148,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X5,xR,X3)
| ~ aReductOfIn0(X5,X1,xR)
| ~ aElement0(X5) ),
c_0_44,
[final] ).
cnf(c_0_149,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,xv,xR)
| ~ aElement0(X3) ),
c_0_45,
[final] ).
cnf(c_0_150,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_46,
[final] ).
cnf(c_0_151,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_47,
[final] ).
cnf(c_0_152,hypothesis,
( esk4_3(X1,X2,X3) = X2
| sdtmndtplgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_48,
[final] ).
cnf(c_0_153,hypothesis,
( esk4_3(X1,X2,X3) = X3
| sdtmndtplgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_49,
[final] ).
cnf(c_0_154,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_50,
[final] ).
cnf(c_0_155,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_51,
[final] ).
cnf(c_0_156,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_52,
[final] ).
cnf(c_0_157,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_53,
[final] ).
cnf(c_0_158,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_54,
[final] ).
cnf(c_0_159,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_55,
[final] ).
cnf(c_0_160,hypothesis,
( aElement0(esk1_3(X2,X3,X1))
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
c_0_56,
[final] ).
cnf(c_0_161,hypothesis,
( sdtmndtasgtdt0(X2,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_57,
[final] ).
cnf(c_0_162,hypothesis,
( sdtmndtasgtdt0(X3,xR,esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_58,
[final] ).
cnf(c_0_163,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
c_0_59,
[final] ).
cnf(c_0_164,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,xv,xR) ),
c_0_60,
[final] ).
cnf(c_0_165,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
c_0_61,
[final] ).
cnf(c_0_166,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
c_0_62,
[final] ).
cnf(c_0_167,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
c_0_63,
[final] ).
cnf(c_0_168,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
c_0_64,
[final] ).
cnf(c_0_169,hypothesis,
( aElement0(esk4_3(X1,X2,X3))
| ~ epred1_3(X1,X2,X3)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ iLess0(X1,xa) ),
c_0_65,
[final] ).
cnf(c_0_170,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4) ),
c_0_66,
[final] ).
cnf(c_0_171,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X1,xR)
| ~ aElement0(X4)
| X1 != X3 ),
c_0_67,
[final] ).
cnf(c_0_172,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_68,
[final] ).
cnf(c_0_173,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_69,
[final] ).
cnf(c_0_174,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_70,
[final] ).
cnf(c_0_175,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_71,
[final] ).
cnf(c_0_176,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_72,
[final] ).
cnf(c_0_177,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_73,
[final] ).
cnf(c_0_178,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_74,
[final] ).
cnf(c_0_179,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_75,
[final] ).
cnf(c_0_180,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_76,
[final] ).
cnf(c_0_181,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X3) ),
c_0_77,
[final] ).
cnf(c_0_182,plain,
( epred2_1(X1)
| xu != X1
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) ),
c_0_78,
[final] ).
cnf(c_0_183,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,xu,xR)
| ~ aElement0(X2)
| xv != X1 ),
c_0_79,
[final] ).
cnf(c_0_184,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aReductOfIn0(X1,xv,xR) ),
c_0_80,
[final] ).
cnf(c_0_185,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
c_0_81,
[final] ).
cnf(c_0_186,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
c_0_82,
[final] ).
cnf(c_0_187,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ aReductOfIn0(X1,xv,xR) ),
c_0_83,
[final] ).
cnf(c_0_188,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
c_0_84,
[final] ).
cnf(c_0_189,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
c_0_85,
[final] ).
cnf(c_0_190,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aReductOfIn0(X1,xv,xR) ),
c_0_86,
[final] ).
cnf(c_0_191,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
c_0_87,
[final] ).
cnf(c_0_192,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
c_0_88,
[final] ).
cnf(c_0_193,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ aReductOfIn0(X3,X1,xR) ),
c_0_89,
[final] ).
cnf(c_0_194,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtplgtdt0(X1,xR,X3) ),
c_0_90,
[final] ).
cnf(c_0_195,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
c_0_91,
[final] ).
cnf(c_0_196,plain,
( epred1_3(X1,X2,X3)
| ~ aReductOfIn0(X2,X1,xR)
| X1 != X3 ),
c_0_92,
[final] ).
cnf(c_0_197,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| X1 != X3 ),
c_0_93,
[final] ).
cnf(c_0_198,plain,
( epred1_3(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| X1 != X3 ),
c_0_94,
[final] ).
cnf(c_0_199,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
c_0_95,
[final] ).
cnf(c_0_200,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
c_0_96,
[final] ).
cnf(c_0_201,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aReductOfIn0(esk10_0,xv,xR) ),
c_0_97,
[final] ).
cnf(c_0_202,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| sdtmndtplgtdt0(esk10_0,xR,xc) ),
c_0_98,
[final] ).
cnf(c_0_203,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aReductOfIn0(esk9_0,xu,xR) ),
c_0_99,
[final] ).
cnf(c_0_204,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| sdtmndtplgtdt0(esk9_0,xR,xb) ),
c_0_100,
[final] ).
cnf(c_0_205,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aReductOfIn0(esk7_0,xa,xR) ),
c_0_101,
[final] ).
cnf(c_0_206,hypothesis,
( aReductOfIn0(xb,xa,xR)
| sdtmndtplgtdt0(esk7_0,xR,xb) ),
c_0_102,
[final] ).
cnf(c_0_207,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aReductOfIn0(esk8_0,xa,xR) ),
c_0_103,
[final] ).
cnf(c_0_208,hypothesis,
( aReductOfIn0(xc,xa,xR)
| sdtmndtplgtdt0(esk8_0,xR,xc) ),
c_0_104,
[final] ).
cnf(c_0_209,plain,
( epred2_1(X1)
| xu != X1
| ~ aReductOfIn0(X1,xv,xR) ),
c_0_105,
[final] ).
cnf(c_0_210,plain,
( epred2_1(X1)
| xu != X1
| ~ sdtmndtplgtdt0(xv,xR,X1) ),
c_0_106,
[final] ).
cnf(c_0_211,plain,
( epred2_1(X1)
| xu != X1
| ~ sdtmndtasgtdt0(xv,xR,X1) ),
c_0_107,
[final] ).
cnf(c_0_212,plain,
( epred2_1(X1)
| ~ aReductOfIn0(X1,xu,xR)
| xv != X1 ),
c_0_108,
[final] ).
cnf(c_0_213,plain,
( epred2_1(X1)
| ~ sdtmndtplgtdt0(xu,xR,X1)
| xv != X1 ),
c_0_109,
[final] ).
cnf(c_0_214,plain,
( epred2_1(X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| xv != X1 ),
c_0_110,
[final] ).
cnf(c_0_215,plain,
( epred1_3(X1,X2,X3)
| X1 != X2
| X1 != X3 ),
c_0_111,
[final] ).
cnf(c_0_216,hypothesis,
( xv = xc
| aReductOfIn0(xc,xv,xR)
| aElement0(esk10_0) ),
c_0_112,
[final] ).
cnf(c_0_217,hypothesis,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aElement0(esk9_0) ),
c_0_113,
[final] ).
cnf(c_0_218,hypothesis,
( aReductOfIn0(xb,xa,xR)
| aElement0(esk7_0) ),
c_0_114,
[final] ).
cnf(c_0_219,hypothesis,
( aReductOfIn0(xc,xa,xR)
| aElement0(esk8_0) ),
c_0_115,
[final] ).
cnf(c_0_220,hypothesis,
( xv = xc
| sdtmndtplgtdt0(xv,xR,xc) ),
c_0_116,
[final] ).
cnf(c_0_221,hypothesis,
( xu = xb
| sdtmndtplgtdt0(xu,xR,xb) ),
c_0_117,
[final] ).
cnf(c_0_222,hypothesis,
aReductOfIn0(xv,xa,xR),
c_0_118,
[final] ).
cnf(c_0_223,hypothesis,
sdtmndtasgtdt0(xv,xR,xc),
c_0_119,
[final] ).
cnf(c_0_224,hypothesis,
aReductOfIn0(xu,xa,xR),
c_0_120,
[final] ).
cnf(c_0_225,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
c_0_121,
[final] ).
cnf(c_0_226,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
c_0_122,
[final] ).
cnf(c_0_227,hypothesis,
sdtmndtplgtdt0(xa,xR,xc),
c_0_123,
[final] ).
cnf(c_0_228,negated_conjecture,
( ~ epred2_1(X1)
| ~ aElement0(X1) ),
c_0_124,
[final] ).
cnf(c_0_229,plain,
( epred2_1(X1)
| xu != X1
| xv != X1 ),
c_0_125,
[final] ).
cnf(c_0_230,hypothesis,
aElement0(xv),
c_0_126,
[final] ).
cnf(c_0_231,hypothesis,
aElement0(xu),
c_0_127,
[final] ).
cnf(c_0_232,hypothesis,
aElement0(xa),
c_0_128,
[final] ).
cnf(c_0_233,hypothesis,
aElement0(xb),
c_0_129,
[final] ).
cnf(c_0_234,hypothesis,
aElement0(xc),
c_0_130,
[final] ).
cnf(c_0_235,hypothesis,
isLocallyConfluent0(xR),
c_0_131,
[final] ).
cnf(c_0_236,hypothesis,
isTerminating0(xR),
c_0_132,
[final] ).
cnf(c_0_237,hypothesis,
aRewritingSystem0(xR),
c_0_133,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_129,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,xR,sk3_esk1_3(X1,X0,X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_150) ).
cnf(c_313,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_129]) ).
cnf(c_507,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_313]) ).
cnf(c_682,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_507]) ).
cnf(c_2032,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_682]) ).
cnf(c_2672,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_2032]) ).
cnf(c_171,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| epred2_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_192) ).
cnf(c_397,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| epred2_1(X0) ),
inference(copy,[status(esa)],[c_171]) ).
cnf(c_549,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| epred2_1(X0) ),
inference(copy,[status(esa)],[c_397]) ).
cnf(c_640,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| epred2_1(X0) ),
inference(copy,[status(esa)],[c_549]) ).
cnf(c_1973,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| epred2_1(X0) ),
inference(copy,[status(esa)],[c_640]) ).
cnf(c_2554,plain,
( ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xv,xR,X0)
| epred2_1(X0) ),
inference(copy,[status(esa)],[c_1973]) ).
cnf(c_5665,plain,
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(xv)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,sk3_esk1_3(X0,xv,X1))
| epred2_1(sk3_esk1_3(X0,xv,X1)) ),
inference(resolution,[status(thm)],[c_2672,c_2554]) ).
cnf(c_5670,plain,
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(xv)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,sk3_esk1_3(X0,xv,X1))
| epred2_1(sk3_esk1_3(X0,xv,X1)) ),
inference(rewriting,[status(thm)],[c_5665]) ).
cnf(c_209,plain,
aElement0(xv),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_230) ).
cnf(c_471,plain,
aElement0(xv),
inference(copy,[status(esa)],[c_209]) ).
cnf(c_587,plain,
aElement0(xv),
inference(copy,[status(esa)],[c_471]) ).
cnf(c_602,plain,
aElement0(xv),
inference(copy,[status(esa)],[c_587]) ).
cnf(c_2011,plain,
aElement0(xv),
inference(copy,[status(esa)],[c_602]) ).
cnf(c_2630,plain,
aElement0(xv),
inference(copy,[status(esa)],[c_2011]) ).
cnf(c_12670,plain,
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,sk3_esk1_3(X0,xv,X1))
| epred2_1(sk3_esk1_3(X0,xv,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5670,c_2630]) ).
cnf(c_12671,plain,
( ~ aReductOfIn0(xv,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xu,xR,sk3_esk1_3(X0,xv,X1))
| epred2_1(sk3_esk1_3(X0,xv,X1)) ),
inference(rewriting,[status(thm)],[c_12670]) ).
cnf(c_130,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sk3_esk1_3(X1,X0,X2)) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_151) ).
cnf(c_315,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_508,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_315]) ).
cnf(c_681,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_508]) ).
cnf(c_2033,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_681]) ).
cnf(c_2674,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X2,xR,sk3_esk1_3(X1,X0,X2)) ),
inference(copy,[status(esa)],[c_2033]) ).
cnf(c_12686,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(xv)
| ~ aElement0(X0)
| epred2_1(sk3_esk1_3(X0,xv,xu)) ),
inference(resolution,[status(thm)],[c_12671,c_2674]) ).
cnf(c_12687,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(xv)
| ~ aElement0(X0)
| epred2_1(sk3_esk1_3(X0,xv,xu)) ),
inference(rewriting,[status(thm)],[c_12686]) ).
cnf(c_210,plain,
aElement0(xu),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_231) ).
cnf(c_473,plain,
aElement0(xu),
inference(copy,[status(esa)],[c_210]) ).
cnf(c_588,plain,
aElement0(xu),
inference(copy,[status(esa)],[c_473]) ).
cnf(c_601,plain,
aElement0(xu),
inference(copy,[status(esa)],[c_588]) ).
cnf(c_2012,plain,
aElement0(xu),
inference(copy,[status(esa)],[c_601]) ).
cnf(c_2632,plain,
aElement0(xu),
inference(copy,[status(esa)],[c_2012]) ).
cnf(c_109553,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0)
| epred2_1(sk3_esk1_3(X0,xv,xu)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12687,c_2630,c_2632]) ).
cnf(c_109554,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0)
| epred2_1(sk3_esk1_3(X0,xv,xu)) ),
inference(rewriting,[status(thm)],[c_109553]) ).
cnf(c_201,negated_conjecture,
( ~ aElement0(X0)
| ~ epred2_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_228) ).
cnf(c_487,negated_conjecture,
( ~ aElement0(X0)
| ~ epred2_1(X0) ),
inference(copy,[status(esa)],[c_201]) ).
cnf(c_579,negated_conjecture,
( ~ aElement0(X0)
| ~ epred2_1(X0) ),
inference(copy,[status(esa)],[c_487]) ).
cnf(c_610,negated_conjecture,
( ~ aElement0(X0)
| ~ epred2_1(X0) ),
inference(copy,[status(esa)],[c_579]) ).
cnf(c_2003,negated_conjecture,
( ~ aElement0(X0)
| ~ epred2_1(X0) ),
inference(copy,[status(esa)],[c_610]) ).
cnf(c_2614,negated_conjecture,
( ~ aElement0(X0)
| ~ epred2_1(X0) ),
inference(copy,[status(esa)],[c_2003]) ).
cnf(c_109559,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(sk3_esk1_3(X0,xv,xu))
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[c_109554,c_2614]) ).
cnf(c_109560,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(sk3_esk1_3(X0,xv,xu))
| ~ aElement0(X0) ),
inference(rewriting,[status(thm)],[c_109559]) ).
cnf(c_139,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| aElement0(sk3_esk1_3(X1,X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_160) ).
cnf(c_333,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| aElement0(sk3_esk1_3(X1,X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_517,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| aElement0(sk3_esk1_3(X1,X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(copy,[status(esa)],[c_333]) ).
cnf(c_672,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| aElement0(sk3_esk1_3(X1,X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(copy,[status(esa)],[c_517]) ).
cnf(c_1941,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| aElement0(sk3_esk1_3(X1,X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(copy,[status(esa)],[c_672]) ).
cnf(c_2490,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| aElement0(sk3_esk1_3(X1,X0,X2))
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(copy,[status(esa)],[c_1941]) ).
cnf(c_109573,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(xv)
| ~ aElement0(X0) ),
inference(resolution,[status(thm)],[c_109560,c_2490]) ).
cnf(c_109574,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(xu)
| ~ aElement0(xv)
| ~ aElement0(X0) ),
inference(rewriting,[status(thm)],[c_109573]) ).
cnf(c_109580,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109574,c_2630,c_2632]) ).
cnf(c_109581,plain,
( ~ aReductOfIn0(xu,X0,xR)
| ~ aReductOfIn0(xv,X0,xR)
| ~ aElement0(X0) ),
inference(rewriting,[status(thm)],[c_109580]) ).
cnf(c_203,plain,
aReductOfIn0(xv,xa,xR),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_222) ).
cnf(c_459,plain,
aReductOfIn0(xv,xa,xR),
inference(copy,[status(esa)],[c_203]) ).
cnf(c_581,plain,
aReductOfIn0(xv,xa,xR),
inference(copy,[status(esa)],[c_459]) ).
cnf(c_608,plain,
aReductOfIn0(xv,xa,xR),
inference(copy,[status(esa)],[c_581]) ).
cnf(c_2005,plain,
aReductOfIn0(xv,xa,xR),
inference(copy,[status(esa)],[c_608]) ).
cnf(c_2618,plain,
aReductOfIn0(xv,xa,xR),
inference(copy,[status(esa)],[c_2005]) ).
cnf(c_109591,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xa) ),
inference(resolution,[status(thm)],[c_109581,c_2618]) ).
cnf(c_109592,plain,
( ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(xa) ),
inference(rewriting,[status(thm)],[c_109591]) ).
cnf(c_211,plain,
aElement0(xa),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_232) ).
cnf(c_475,plain,
aElement0(xa),
inference(copy,[status(esa)],[c_211]) ).
cnf(c_589,plain,
aElement0(xa),
inference(copy,[status(esa)],[c_475]) ).
cnf(c_600,plain,
aElement0(xa),
inference(copy,[status(esa)],[c_589]) ).
cnf(c_2013,plain,
aElement0(xa),
inference(copy,[status(esa)],[c_600]) ).
cnf(c_2634,plain,
aElement0(xa),
inference(copy,[status(esa)],[c_2013]) ).
cnf(c_205,plain,
aReductOfIn0(xu,xa,xR),
file('/export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p',c_0_224) ).
cnf(c_463,plain,
aReductOfIn0(xu,xa,xR),
inference(copy,[status(esa)],[c_205]) ).
cnf(c_583,plain,
aReductOfIn0(xu,xa,xR),
inference(copy,[status(esa)],[c_463]) ).
cnf(c_606,plain,
aReductOfIn0(xu,xa,xR),
inference(copy,[status(esa)],[c_583]) ).
cnf(c_2007,plain,
aReductOfIn0(xu,xa,xR),
inference(copy,[status(esa)],[c_606]) ).
cnf(c_2622,plain,
aReductOfIn0(xu,xa,xR),
inference(copy,[status(esa)],[c_2007]) ).
cnf(c_111827,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_109592,c_2634,c_2622]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : COM017+4 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.16 % Command : iprover_modulo %s %d
% 0.17/0.37 % Computer : n022.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 600
% 0.17/0.37 % DateTime : Thu Jun 16 18:59:17 EDT 2022
% 0.17/0.37 % CPUTime :
% 0.17/0.38 % Running in mono-core mode
% 0.24/0.47 % Orienting using strategy Equiv(ClausalAll)
% 0.24/0.47 % FOF problem with conjecture
% 0.24/0.47 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f1bbff.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_52b36a.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0fa2e8 | grep -v "SZS"
% 0.24/0.50
% 0.24/0.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.24/0.50
% 0.24/0.50 %
% 0.24/0.50 % ------ iProver source info
% 0.24/0.50
% 0.24/0.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.24/0.50 % git: non_committed_changes: true
% 0.24/0.50 % git: last_make_outside_of_git: true
% 0.24/0.50
% 0.24/0.50 %
% 0.24/0.50 % ------ Input Options
% 0.24/0.50
% 0.24/0.50 % --out_options all
% 0.24/0.50 % --tptp_safe_out true
% 0.24/0.50 % --problem_path ""
% 0.24/0.50 % --include_path ""
% 0.24/0.50 % --clausifier .//eprover
% 0.24/0.50 % --clausifier_options --tstp-format
% 0.24/0.50 % --stdin false
% 0.24/0.50 % --dbg_backtrace false
% 0.24/0.50 % --dbg_dump_prop_clauses false
% 0.24/0.50 % --dbg_dump_prop_clauses_file -
% 0.24/0.50 % --dbg_out_stat false
% 0.24/0.50
% 0.24/0.50 % ------ General Options
% 0.24/0.50
% 0.24/0.50 % --fof false
% 0.24/0.50 % --time_out_real 150.
% 0.24/0.50 % --time_out_prep_mult 0.2
% 0.24/0.50 % --time_out_virtual -1.
% 0.24/0.50 % --schedule none
% 0.24/0.50 % --ground_splitting input
% 0.24/0.50 % --splitting_nvd 16
% 0.24/0.50 % --non_eq_to_eq false
% 0.24/0.50 % --prep_gs_sim true
% 0.24/0.50 % --prep_unflatten false
% 0.24/0.50 % --prep_res_sim true
% 0.24/0.50 % --prep_upred true
% 0.24/0.50 % --res_sim_input true
% 0.24/0.50 % --clause_weak_htbl true
% 0.24/0.50 % --gc_record_bc_elim false
% 0.24/0.50 % --symbol_type_check false
% 0.24/0.50 % --clausify_out false
% 0.24/0.50 % --large_theory_mode false
% 0.24/0.50 % --prep_sem_filter none
% 0.24/0.50 % --prep_sem_filter_out false
% 0.24/0.50 % --preprocessed_out false
% 0.24/0.50 % --sub_typing false
% 0.24/0.50 % --brand_transform false
% 0.24/0.50 % --pure_diseq_elim true
% 0.24/0.50 % --min_unsat_core false
% 0.24/0.50 % --pred_elim true
% 0.24/0.50 % --add_important_lit false
% 0.24/0.50 % --soft_assumptions false
% 0.24/0.50 % --reset_solvers false
% 0.24/0.50 % --bc_imp_inh []
% 0.24/0.50 % --conj_cone_tolerance 1.5
% 0.24/0.50 % --prolific_symb_bound 500
% 0.24/0.50 % --lt_threshold 2000
% 0.24/0.50
% 0.24/0.50 % ------ SAT Options
% 0.24/0.50
% 0.24/0.50 % --sat_mode false
% 0.24/0.50 % --sat_fm_restart_options ""
% 0.24/0.50 % --sat_gr_def false
% 0.24/0.50 % --sat_epr_types true
% 0.24/0.50 % --sat_non_cyclic_types false
% 0.24/0.50 % --sat_finite_models false
% 0.24/0.50 % --sat_fm_lemmas false
% 0.24/0.50 % --sat_fm_prep false
% 0.24/0.50 % --sat_fm_uc_incr true
% 0.24/0.50 % --sat_out_model small
% 0.24/0.50 % --sat_out_clauses false
% 0.24/0.50
% 0.24/0.50 % ------ QBF Options
% 0.24/0.50
% 0.24/0.50 % --qbf_mode false
% 0.24/0.50 % --qbf_elim_univ true
% 0.24/0.50 % --qbf_sk_in true
% 0.24/0.50 % --qbf_pred_elim true
% 0.24/0.50 % --qbf_split 32
% 0.24/0.50
% 0.24/0.50 % ------ BMC1 Options
% 0.24/0.50
% 0.24/0.50 % --bmc1_incremental false
% 0.24/0.50 % --bmc1_axioms reachable_all
% 0.24/0.50 % --bmc1_min_bound 0
% 0.24/0.50 % --bmc1_max_bound -1
% 0.24/0.50 % --bmc1_max_bound_default -1
% 0.24/0.50 % --bmc1_symbol_reachability true
% 0.24/0.50 % --bmc1_property_lemmas false
% 0.24/0.50 % --bmc1_k_induction false
% 0.24/0.50 % --bmc1_non_equiv_states false
% 0.24/0.50 % --bmc1_deadlock false
% 0.24/0.50 % --bmc1_ucm false
% 0.24/0.50 % --bmc1_add_unsat_core none
% 0.24/0.50 % --bmc1_unsat_core_children false
% 0.24/0.50 % --bmc1_unsat_core_extrapolate_axioms false
% 0.24/0.50 % --bmc1_out_stat full
% 0.24/0.50 % --bmc1_ground_init false
% 0.24/0.50 % --bmc1_pre_inst_next_state false
% 0.24/0.50 % --bmc1_pre_inst_state false
% 0.24/0.50 % --bmc1_pre_inst_reach_state false
% 0.24/0.50 % --bmc1_out_unsat_core false
% 0.24/0.50 % --bmc1_aig_witness_out false
% 0.24/0.50 % --bmc1_verbose false
% 0.24/0.50 % --bmc1_dump_clauses_tptp false
% 0.24/0.57 % --bmc1_dump_unsat_core_tptp false
% 0.24/0.57 % --bmc1_dump_file -
% 0.24/0.57 % --bmc1_ucm_expand_uc_limit 128
% 0.24/0.57 % --bmc1_ucm_n_expand_iterations 6
% 0.24/0.57 % --bmc1_ucm_extend_mode 1
% 0.24/0.57 % --bmc1_ucm_init_mode 2
% 0.24/0.57 % --bmc1_ucm_cone_mode none
% 0.24/0.57 % --bmc1_ucm_reduced_relation_type 0
% 0.24/0.57 % --bmc1_ucm_relax_model 4
% 0.24/0.57 % --bmc1_ucm_full_tr_after_sat true
% 0.24/0.57 % --bmc1_ucm_expand_neg_assumptions false
% 0.24/0.57 % --bmc1_ucm_layered_model none
% 0.24/0.57 % --bmc1_ucm_max_lemma_size 10
% 0.24/0.57
% 0.24/0.57 % ------ AIG Options
% 0.24/0.57
% 0.24/0.57 % --aig_mode false
% 0.24/0.57
% 0.24/0.57 % ------ Instantiation Options
% 0.24/0.57
% 0.24/0.57 % --instantiation_flag true
% 0.24/0.57 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.24/0.57 % --inst_solver_per_active 750
% 0.24/0.57 % --inst_solver_calls_frac 0.5
% 0.24/0.57 % --inst_passive_queue_type priority_queues
% 0.24/0.57 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.24/0.57 % --inst_passive_queues_freq [25;2]
% 0.24/0.57 % --inst_dismatching true
% 0.24/0.57 % --inst_eager_unprocessed_to_passive true
% 0.24/0.57 % --inst_prop_sim_given true
% 0.24/0.57 % --inst_prop_sim_new false
% 0.24/0.57 % --inst_orphan_elimination true
% 0.24/0.57 % --inst_learning_loop_flag true
% 0.24/0.57 % --inst_learning_start 3000
% 0.24/0.57 % --inst_learning_factor 2
% 0.24/0.57 % --inst_start_prop_sim_after_learn 3
% 0.24/0.57 % --inst_sel_renew solver
% 0.24/0.57 % --inst_lit_activity_flag true
% 0.24/0.57 % --inst_out_proof true
% 0.24/0.57
% 0.24/0.57 % ------ Resolution Options
% 0.24/0.57
% 0.24/0.57 % --resolution_flag true
% 0.24/0.57 % --res_lit_sel kbo_max
% 0.24/0.57 % --res_to_prop_solver none
% 0.24/0.57 % --res_prop_simpl_new false
% 0.24/0.57 % --res_prop_simpl_given false
% 0.24/0.57 % --res_passive_queue_type priority_queues
% 0.24/0.57 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.24/0.57 % --res_passive_queues_freq [15;5]
% 0.24/0.57 % --res_forward_subs full
% 0.24/0.57 % --res_backward_subs full
% 0.24/0.57 % --res_forward_subs_resolution true
% 0.24/0.57 % --res_backward_subs_resolution true
% 0.24/0.57 % --res_orphan_elimination false
% 0.24/0.57 % --res_time_limit 1000.
% 0.24/0.57 % --res_out_proof true
% 0.24/0.57 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f1bbff.s
% 0.24/0.57 % --modulo true
% 0.24/0.57
% 0.24/0.57 % ------ Combination Options
% 0.24/0.57
% 0.24/0.57 % --comb_res_mult 1000
% 0.24/0.57 % --comb_inst_mult 300
% 0.24/0.57 % ------
% 0.24/0.57
% 0.24/0.57 % ------ Parsing...% successful
% 0.24/0.57
% 0.24/0.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe:2:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.24/0.57
% 0.24/0.57 % ------ Proving...
% 0.24/0.57 % ------ Problem Properties
% 0.24/0.57
% 0.24/0.57 %
% 0.24/0.57 % EPR false
% 0.24/0.57 % Horn false
% 0.24/0.57 % Has equality true
% 0.24/0.57
% 0.24/0.57 % % ------ Input Options Time Limit: Unbounded
% 0.24/0.57
% 0.24/0.57
% 0.24/0.57 % % ------ Current options:
% 0.24/0.57
% 0.24/0.57 % ------ Input Options
% 0.24/0.57
% 0.24/0.57 % --out_options all
% 0.24/0.57 % --tptp_safe_out true
% 0.24/0.57 % --problem_path ""
% 0.24/0.57 % --include_path ""
% 0.24/0.57 % --clausifier .//eprover
% 0.24/0.57 % --clausifier_options --tstp-format
% 0.24/0.57 % --stdin false
% 0.24/0.57 % --dbg_backtrace false
% 0.24/0.57 % --dbg_dump_prop_clauses false
% 0.24/0.57 % --dbg_dump_prop_clauses_file -
% 0.24/0.57 % --dbg_out_stat false
% 0.24/0.57
% 0.24/0.57 % ------ General Options
% 0.24/0.57
% 0.24/0.57 % --fof false
% 0.24/0.57 % --time_out_real 150.
% 0.24/0.57 % --time_out_prep_mult 0.2
% 0.24/0.57 % --time_out_virtual -1.
% 0.24/0.57 % --schedule none
% 0.24/0.57 % --ground_splitting input
% 0.24/0.57 % --splitting_nvd 16
% 0.24/0.57 % --non_eq_to_eq false
% 0.24/0.57 % --prep_gs_sim true
% 0.24/0.57 % --prep_unflatten false
% 0.24/0.57 % --prep_res_sim true
% 0.24/0.57 % --prep_upred true
% 0.24/0.57 % --res_sim_input true
% 0.24/0.57 % --clause_weak_htbl true
% 0.24/0.57 % --gc_record_bc_elim false
% 0.24/0.57 % --symbol_type_check false
% 0.24/0.57 % --clausify_out false
% 0.24/0.57 % --large_theory_mode false
% 0.24/0.57 % --prep_sem_filter none
% 0.24/0.57 % --prep_sem_filter_out false
% 0.24/0.57 % --preprocessed_out false
% 0.24/0.57 % --sub_typing false
% 0.24/0.57 % --brand_transform false
% 0.24/0.57 % --pure_diseq_elim true
% 0.24/0.57 % --min_unsat_core false
% 0.24/0.57 % --pred_elim true
% 0.24/0.57 % --add_important_lit false
% 0.24/0.57 % --soft_assumptions false
% 0.24/0.57 % --reset_solvers false
% 0.24/0.57 % --bc_imp_inh []
% 0.24/0.57 % --conj_cone_tolerance 1.5
% 0.24/0.57 % --prolific_symb_bound 500
% 0.24/0.57 % --lt_threshold 2000
% 0.24/0.57
% 0.24/0.57 % ------ SAT Options
% 0.24/0.57
% 0.24/0.57 % --sat_mode false
% 0.24/0.57 % --sat_fm_restart_options ""
% 0.24/0.57 % --sat_gr_def false
% 0.24/0.57 % --sat_epr_types true
% 0.24/0.57 % --sat_non_cyclic_types false
% 0.24/0.57 % --sat_finite_models false
% 0.24/0.57 % --sat_fm_lemmas false
% 0.24/0.57 % --sat_fm_prep false
% 0.24/0.57 % --sat_fm_uc_incr true
% 0.24/0.57 % --sat_out_model small
% 0.24/0.57 % --sat_out_clauses false
% 0.24/0.57
% 0.24/0.57 % ------ QBF Options
% 0.24/0.57
% 0.24/0.57 % --qbf_mode false
% 0.24/0.57 % --qbf_elim_univ true
% 0.24/0.57 % --qbf_sk_in true
% 0.24/0.57 % --qbf_pred_elim true
% 0.24/0.57 % --qbf_split 32
% 0.24/0.57
% 0.24/0.57 % ------ BMC1 Options
% 0.24/0.57
% 0.24/0.57 % --bmc1_incremental false
% 0.24/0.57 % --bmc1_axioms reachable_all
% 0.24/0.57 % --bmc1_min_bound 0
% 0.24/0.57 % --bmc1_max_bound -1
% 0.24/0.57 % --bmc1_max_bound_default -1
% 0.24/0.57 % --bmc1_symbol_reachability true
% 0.24/0.57 % --bmc1_property_lemmas false
% 0.24/0.57 % --bmc1_k_induction false
% 0.24/0.57 % --bmc1_non_equiv_states false
% 0.24/0.57 % --bmc1_deadlock false
% 0.24/0.57 % --bmc1_ucm false
% 0.24/0.57 % --bmc1_add_unsat_core none
% 0.24/0.57 % --bmc1_unsat_core_children false
% 0.24/0.57 % --bmc1_unsat_core_extrapolate_axioms false
% 0.24/0.57 % --bmc1_out_stat full
% 0.24/0.57 % --bmc1_ground_init false
% 0.24/0.57 % --bmc1_pre_inst_next_state false
% 0.24/0.57 % --bmc1_pre_inst_state false
% 0.24/0.57 % --bmc1_pre_inst_reach_state false
% 0.24/0.57 % --bmc1_out_unsat_core false
% 0.24/0.57 % --bmc1_aig_witness_out false
% 0.24/0.57 % --bmc1_verbose false
% 0.24/0.57 % --bmc1_dump_clauses_tptp false
% 0.24/0.57 % --bmc1_dump_unsat_core_tptp false
% 0.24/0.57 % --bmc1_dump_file -
% 0.24/0.57 % --bmc1_ucm_expand_uc_limit 128
% 0.24/0.57 % --bmc1_ucm_n_expand_iterations 6
% 0.24/0.57 % --bmc1_ucm_extend_mode 1
% 0.24/0.57 % --bmc1_ucm_init_mode 2
% 0.24/0.57 % --bmc1_ucm_cone_mode none
% 0.24/0.57 % --bmc1_ucm_reduced_relation_type 0
% 0.24/0.57 % --bmc1_ucm_relax_model 4
% 0.24/0.57 % --bmc1_ucm_full_tr_after_sat true
% 0.24/0.57 % --bmc1_ucm_expand_neg_assumptions false
% 0.24/0.57 % --bmc1_ucm_layered_model none
% 0.24/0.57 % --bmc1_ucm_max_lemma_size 10
% 0.24/0.57
% 0.24/0.57 % ------ AIG Options
% 0.24/0.57
% 0.24/0.57 % --aig_mode false
% 0.24/0.57
% 0.24/0.57 % ------ Instantiation Options
% 0.24/0.57
% 0.24/0.57 % --instantiation_flag true
% 0.24/0.57 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.24/0.57 % --inst_solver_per_active 750
% 0.24/0.57 % --inst_solver_calls_frac 0.5
% 0.24/0.57 % --inst_passive_queue_type priority_queues
% 0.24/0.57 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.24/0.57 % --inst_passive_queues_freq [25;2]
% 0.24/0.57 % --inst_dismatching true
% 0.24/0.57 % --inst_eager_unprocessed_to_passive true
% 0.24/0.57 % --inst_prop_sim_given true
% 3.94/4.20 % --inst_prop_sim_new false
% 3.94/4.20 % --inst_orphan_elimination true
% 3.94/4.20 % --inst_learning_loop_flag true
% 3.94/4.20 % --inst_learning_start 3000
% 3.94/4.20 % --inst_learning_factor 2
% 3.94/4.20 % --inst_start_prop_sim_after_learn 3
% 3.94/4.20 % --inst_sel_renew solver
% 3.94/4.20 % --inst_lit_activity_flag true
% 3.94/4.20 % --inst_out_proof true
% 3.94/4.20
% 3.94/4.20 % ------ Resolution Options
% 3.94/4.20
% 3.94/4.20 % --resolution_flag true
% 3.94/4.20 % --res_lit_sel kbo_max
% 3.94/4.20 % --res_to_prop_solver none
% 3.94/4.20 % --res_prop_simpl_new false
% 3.94/4.20 % --res_prop_simpl_given false
% 3.94/4.20 % --res_passive_queue_type priority_queues
% 3.94/4.20 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.94/4.20 % --res_passive_queues_freq [15;5]
% 3.94/4.20 % --res_forward_subs full
% 3.94/4.20 % --res_backward_subs full
% 3.94/4.20 % --res_forward_subs_resolution true
% 3.94/4.20 % --res_backward_subs_resolution true
% 3.94/4.20 % --res_orphan_elimination false
% 3.94/4.20 % --res_time_limit 1000.
% 3.94/4.20 % --res_out_proof true
% 3.94/4.20 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f1bbff.s
% 3.94/4.20 % --modulo true
% 3.94/4.20
% 3.94/4.20 % ------ Combination Options
% 3.94/4.20
% 3.94/4.20 % --comb_res_mult 1000
% 3.94/4.20 % --comb_inst_mult 300
% 3.94/4.20 % ------
% 3.94/4.20
% 3.94/4.20
% 3.94/4.20
% 3.94/4.20 % ------ Proving...
% 3.94/4.20 %
% 3.94/4.20
% 3.94/4.20
% 3.94/4.20 % Resolution empty clause
% 3.94/4.20
% 3.94/4.20 % ------ Statistics
% 3.94/4.20
% 3.94/4.20 % ------ General
% 3.94/4.20
% 3.94/4.20 % num_of_input_clauses: 217
% 3.94/4.20 % num_of_input_neg_conjectures: 1
% 3.94/4.20 % num_of_splits: 0
% 3.94/4.20 % num_of_split_atoms: 0
% 3.94/4.20 % num_of_sem_filtered_clauses: 0
% 3.94/4.20 % num_of_subtypes: 0
% 3.94/4.20 % monotx_restored_types: 0
% 3.94/4.20 % sat_num_of_epr_types: 0
% 3.94/4.20 % sat_num_of_non_cyclic_types: 0
% 3.94/4.20 % sat_guarded_non_collapsed_types: 0
% 3.94/4.20 % is_epr: 0
% 3.94/4.20 % is_horn: 0
% 3.94/4.20 % has_eq: 1
% 3.94/4.20 % num_pure_diseq_elim: 0
% 3.94/4.20 % simp_replaced_by: 0
% 3.94/4.20 % res_preprocessed: 105
% 3.94/4.20 % prep_upred: 0
% 3.94/4.20 % prep_unflattend: 66
% 3.94/4.20 % pred_elim_cands: 8
% 3.94/4.20 % pred_elim: 3
% 3.94/4.20 % pred_elim_cl: 3
% 3.94/4.20 % pred_elim_cycles: 5
% 3.94/4.20 % forced_gc_time: 0
% 3.94/4.20 % gc_basic_clause_elim: 0
% 3.94/4.20 % parsing_time: 0.011
% 3.94/4.20 % sem_filter_time: 0.
% 3.94/4.20 % pred_elim_time: 0.036
% 3.94/4.20 % out_proof_time: 0.001
% 3.94/4.20 % monotx_time: 0.
% 3.94/4.20 % subtype_inf_time: 0.
% 3.94/4.20 % unif_index_cands_time: 0.011
% 3.94/4.20 % unif_index_add_time: 0.006
% 3.94/4.20 % total_time: 3.712
% 3.94/4.20 % num_of_symbols: 66
% 3.94/4.20 % num_of_terms: 26412
% 3.94/4.20
% 3.94/4.20 % ------ Propositional Solver
% 3.94/4.20
% 3.94/4.20 % prop_solver_calls: 12
% 3.94/4.20 % prop_fast_solver_calls: 1387
% 3.94/4.20 % prop_num_of_clauses: 3036
% 3.94/4.20 % prop_preprocess_simplified: 5122
% 3.94/4.20 % prop_fo_subsumed: 33
% 3.94/4.20 % prop_solver_time: 0.
% 3.94/4.20 % prop_fast_solver_time: 0.001
% 3.94/4.20 % prop_unsat_core_time: 0.
% 3.94/4.20
% 3.94/4.20 % ------ QBF
% 3.94/4.20
% 3.94/4.20 % qbf_q_res: 0
% 3.94/4.20 % qbf_num_tautologies: 0
% 3.94/4.20 % qbf_prep_cycles: 0
% 3.94/4.20
% 3.94/4.20 % ------ BMC1
% 3.94/4.20
% 3.94/4.20 % bmc1_current_bound: -1
% 3.94/4.20 % bmc1_last_solved_bound: -1
% 3.94/4.20 % bmc1_unsat_core_size: -1
% 3.94/4.20 % bmc1_unsat_core_parents_size: -1
% 3.94/4.20 % bmc1_merge_next_fun: 0
% 3.94/4.20 % bmc1_unsat_core_clauses_time: 0.
% 3.94/4.20
% 3.94/4.20 % ------ Instantiation
% 3.94/4.20
% 3.94/4.20 % inst_num_of_clauses: 1707
% 3.94/4.20 % inst_num_in_passive: 793
% 3.94/4.20 % inst_num_in_active: 899
% 3.94/4.20 % inst_num_in_unprocessed: 10
% 3.94/4.20 % inst_num_of_loops: 900
% 3.94/4.20 % inst_num_of_learning_restarts: 0
% 3.94/4.20 % inst_num_moves_active_passive: 0
% 3.94/4.20 % inst_lit_activity: 473
% 3.94/4.20 % inst_lit_activity_moves: 0
% 3.94/4.20 % inst_num_tautologies: 0
% 3.94/4.20 % inst_num_prop_implied: 0
% 3.94/4.20 % inst_num_existing_simplified: 0
% 3.94/4.20 % inst_num_eq_res_simplified: 5
% 3.94/4.20 % inst_num_child_elim: 0
% 3.94/4.20 % inst_num_of_dismatching_blockings: 1
% 3.94/4.20 % inst_num_of_non_proper_insts: 1251
% 3.94/4.20 % inst_num_of_duplicates: 560
% 3.94/4.20 % inst_inst_num_from_inst_to_res: 0
% 3.94/4.20 % inst_dismatching_checking_time: 0.001
% 3.94/4.20
% 3.94/4.20 % ------ Resolution
% 3.94/4.20
% 3.94/4.20 % res_num_of_clauses: 34950
% 3.94/4.20 % res_num_in_passive: 34276
% 3.94/4.20 % res_num_in_active: 1524
% 3.94/4.20 % res_num_of_loops: 3367
% 3.94/4.20 % res_forward_subset_subsumed: 1729
% 3.94/4.20 % res_backward_subset_subsumed: 1208
% 3.94/4.20 % res_forward_subsumed: 1468
% 3.94/4.20 % res_backward_subsumed: 201
% 3.94/4.20 % res_forward_subsumption_resolution: 1386
% 3.94/4.20 % res_backward_subsumption_resolution: 15
% 3.94/4.20 % res_clause_to_clause_subsumption: 94430
% 3.94/4.20 % res_orphan_elimination: 0
% 3.94/4.20 % res_tautology_del: 433
% 3.94/4.20 % res_num_eq_res_simplified: 204
% 3.94/4.20 % res_num_sel_changes: 0
% 3.94/4.20 % res_moves_from_active_to_pass: 0
% 3.94/4.20
% 3.94/4.20 % Status Unsatisfiable
% 3.94/4.20 % SZS status Theorem
% 3.94/4.20 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------