TSTP Solution File: COM013+4 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n024.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 01:22:48 EDT 2022
% Result : Theorem 1.23s 1.39s
% Output : CNFRefutation 1.23s
% 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,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( iLess0(X1,X2)
=> $true ) ),
file('<stdin>',mWFOrd) ).
fof(c_0_7_008,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
=> $true ) ),
file('<stdin>',mTCbr) ).
fof(c_0_8_009,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_9_010,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_10_011,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_11_012,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_12_013,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_13_014,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
c_0_5 ).
fof(c_0_14_015,plain,
! [X1,X2] : $true,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_15_016,plain,
! [X1,X2,X3] : $true,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_16_017,plain,
! [X5,X6,X7,X9] :
( ( aElement0(esk2_3(X5,X6,X7))
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( aReductOfIn0(esk2_3(X5,X6,X7),X5,X6)
| aReductOfIn0(X7,X5,X6)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7) )
& ( sdtmndtplgtdt0(esk2_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_8])])])])]) ).
fof(c_0_17_018,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(esk1_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_9])])])])])]) ).
fof(c_0_18_019,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_10])]) ).
fof(c_0_19_020,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_11])]) ).
fof(c_0_20_021,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_12])])]) ).
fof(c_0_21_022,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_13])])]) ).
fof(c_0_22_023,plain,
! [X3,X4] : $true,
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_23_024,plain,
! [X4,X5,X6] : $true,
inference(variable_rename,[status(thm)],[c_0_15]) ).
cnf(c_0_24_025,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk2_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25_026,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk2_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26_027,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk1_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27_028,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk2_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28_029,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_16]) ).
cnf(c_0_29_030,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_18]) ).
cnf(c_0_30_031,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_19]) ).
cnf(c_0_31_032,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32_033,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33_034,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_34_035,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35_036,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36_037,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37_038,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_38_039,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39_040,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_40_041,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_41_042,plain,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(esk2_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_24,
[final] ).
cnf(c_0_42_043,plain,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(esk2_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_25,
[final] ).
cnf(c_0_43_044,plain,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(esk1_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
c_0_26,
[final] ).
cnf(c_0_44_045,plain,
( aReductOfIn0(X1,X3,X2)
| aElement0(esk2_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_27,
[final] ).
cnf(c_0_45_046,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X4,X2,X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aElement0(X4) ),
c_0_28,
[final] ).
cnf(c_0_46_047,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X4,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
c_0_29,
[final] ).
cnf(c_0_47_048,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
c_0_30,
[final] ).
cnf(c_0_48_049,plain,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
c_0_31,
[final] ).
cnf(c_0_49_050,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
c_0_32,
[final] ).
cnf(c_0_50_051,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
c_0_33,
[final] ).
cnf(c_0_51_052,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
c_0_34,
[final] ).
cnf(c_0_52_053,plain,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
c_0_35,
[final] ).
cnf(c_0_53_054,plain,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
c_0_36,
[final] ).
cnf(c_0_54_055,plain,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
c_0_37,
[final] ).
cnf(c_0_55_056,plain,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != X1 ),
c_0_38,
[final] ).
cnf(c_0_56_057,plain,
$true,
c_0_39,
[final] ).
cnf(c_0_57_058,plain,
$true,
c_0_40,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_41_1,axiom,
( aReductOfIn0(X1,X3,X2)
| aReductOfIn0(sk2_esk2_3(X3,X2,X1),X3,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_2,axiom,
( aReductOfIn0(sk2_esk2_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_41]) ).
cnf(c_0_41_3,axiom,
( ~ aElement0(X1)
| aReductOfIn0(sk2_esk2_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_41]) ).
cnf(c_0_41_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk2_esk2_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk2_esk2_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_41_6,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aReductOfIn0(sk2_esk2_3(X3,X2,X1),X3,X2)
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_41]) ).
cnf(c_0_42_1,axiom,
( aReductOfIn0(X1,X3,X2)
| sdtmndtplgtdt0(sk2_esk2_3(X3,X2,X1),X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_2,axiom,
( sdtmndtplgtdt0(sk2_esk2_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_42]) ).
cnf(c_0_42_3,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk2_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_42]) ).
cnf(c_0_42_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk2_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk2_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_42_6,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(sk2_esk2_3(X3,X2,X1),X2,X1)
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_42]) ).
cnf(c_0_43_1,axiom,
( aNormalFormOfIn0(X3,X2,X1)
| aReductOfIn0(sk2_esk1_3(X2,X1,X3),X3,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_2,axiom,
( aReductOfIn0(sk2_esk1_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_43]) ).
cnf(c_0_43_3,axiom,
( ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk1_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_43]) ).
cnf(c_0_43_4,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk1_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_5,axiom,
( ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk1_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_43_6,axiom,
( ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aReductOfIn0(sk2_esk1_3(X2,X1,X3),X3,X1)
| aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_43]) ).
cnf(c_0_44_1,axiom,
( aReductOfIn0(X1,X3,X2)
| aElement0(sk2_esk2_3(X3,X2,X1))
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_2,axiom,
( aElement0(sk2_esk2_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_44]) ).
cnf(c_0_44_3,axiom,
( ~ aElement0(X1)
| aElement0(sk2_esk2_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_4,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk2_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_5,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk2_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_6,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| aElement0(sk2_esk2_3(X3,X2,X1))
| aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_45_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_45]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_46_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_46]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_47_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_47]) ).
cnf(c_0_48_1,axiom,
( ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_3,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X4,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_4,axiom,
( ~ aReductOfIn0(X4,X3,X1)
| ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_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_49]) ).
cnf(c_0_49_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_49]) ).
cnf(c_0_49_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_49]) ).
cnf(c_0_49_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_49]) ).
cnf(c_0_49_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_49]) ).
cnf(c_0_49_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_49]) ).
cnf(c_0_50_1,axiom,
( sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_2,axiom,
( ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1)
| ~ aReductOfIn0(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_5,axiom,
( ~ aReductOfIn0(X1,X3,X2)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_1,axiom,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_2,axiom,
( ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_3,axiom,
( ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_4,axiom,
( ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_5,axiom,
( ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_1,axiom,
( sdtmndtasgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_2,axiom,
( ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_3,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_4,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_1,axiom,
( aElement0(X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_2,axiom,
( ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_3,axiom,
( ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_4,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_1,axiom,
( aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_2,axiom,
( ~ aRewritingSystem0(X1)
| aElement0(X3)
| ~ aElement0(X2)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_3,axiom,
( ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aElement0(X3)
| ~ aNormalFormOfIn0(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_4,axiom,
( ~ aNormalFormOfIn0(X3,X2,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_1,axiom,
( sdtmndtasgtdt0(X3,X2,X1)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| X3 != 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)
| X3 != 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)
| X3 != 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)
| X3 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_5,axiom,
( X3 != 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,
$true,
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_1,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_57]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_059,conjecture,
! [X1] :
( aElement0(X1)
=> ( ! [X2] :
( aElement0(X2)
=> ( iLess0(X2,X1)
=> ? [X3] :
( aElement0(X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,xR)
& aNormalFormOfIn0(X3,X2,xR) ) ) )
=> ? [X2] :
( ( aElement0(X2)
& ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ~ ? [X3] : aReductOfIn0(X3,X2,xR) )
| aNormalFormOfIn0(X2,X1,xR) ) ) ),
file('<stdin>',m__) ).
fof(c_0_1_060,hypothesis,
( aRewritingSystem0(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__587) ).
fof(c_0_2_061,negated_conjecture,
~ ! [X1] :
( aElement0(X1)
=> ( ! [X2] :
( aElement0(X2)
=> ( iLess0(X2,X1)
=> ? [X3] :
( aElement0(X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,xR)
& aNormalFormOfIn0(X3,X2,xR) ) ) )
=> ? [X2] :
( ( aElement0(X2)
& ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ~ ? [X3] : aReductOfIn0(X3,X2,xR) )
| aNormalFormOfIn0(X2,X1,xR) ) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_3_062,hypothesis,
( aRewritingSystem0(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_1 ).
fof(c_0_4_063,negated_conjecture,
! [X6,X9,X10,X11,X13] :
( aElement0(esk1_0)
& ( aElement0(esk2_1(X6))
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( aElement0(esk3_1(X6))
| aReductOfIn0(esk2_1(X6),X6,xR)
| X6 = esk2_1(X6)
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( aReductOfIn0(esk3_1(X6),X6,xR)
| aReductOfIn0(esk2_1(X6),X6,xR)
| X6 = esk2_1(X6)
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( sdtmndtplgtdt0(esk3_1(X6),xR,esk2_1(X6))
| aReductOfIn0(esk2_1(X6),X6,xR)
| X6 = esk2_1(X6)
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( sdtmndtplgtdt0(X6,xR,esk2_1(X6))
| X6 = esk2_1(X6)
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( sdtmndtasgtdt0(X6,xR,esk2_1(X6))
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( ~ aReductOfIn0(X9,esk2_1(X6),xR)
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( aNormalFormOfIn0(esk2_1(X6),X6,xR)
| ~ iLess0(X6,esk1_0)
| ~ aElement0(X6) )
& ( esk1_0 != X10
| aReductOfIn0(esk4_1(X10),X10,xR)
| ~ aElement0(X10) )
& ( ~ aReductOfIn0(X10,esk1_0,xR)
| aReductOfIn0(esk4_1(X10),X10,xR)
| ~ aElement0(X10) )
& ( ~ aElement0(X11)
| ~ aReductOfIn0(X11,esk1_0,xR)
| ~ sdtmndtplgtdt0(X11,xR,X10)
| aReductOfIn0(esk4_1(X10),X10,xR)
| ~ aElement0(X10) )
& ( ~ sdtmndtplgtdt0(esk1_0,xR,X10)
| aReductOfIn0(esk4_1(X10),X10,xR)
| ~ aElement0(X10) )
& ( ~ sdtmndtasgtdt0(esk1_0,xR,X10)
| aReductOfIn0(esk4_1(X10),X10,xR)
| ~ aElement0(X10) )
& ~ aNormalFormOfIn0(X13,esk1_0,xR) ),
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_2])])])])])]) ).
fof(c_0_5_064,hypothesis,
! [X4,X5,X6] :
( aRewritingSystem0(xR)
& ( ~ aReductOfIn0(X5,X4,xR)
| iLess0(X5,X4)
| ~ aElement0(X4)
| ~ aElement0(X5) )
& ( ~ aElement0(X6)
| ~ aReductOfIn0(X6,X4,xR)
| ~ sdtmndtplgtdt0(X6,xR,X5)
| iLess0(X5,X4)
| ~ aElement0(X4)
| ~ aElement0(X5) )
& ( ~ sdtmndtplgtdt0(X4,xR,X5)
| iLess0(X5,X4)
| ~ aElement0(X4)
| ~ aElement0(X5) )
& isTerminating0(xR) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6_065,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,esk1_0,xR)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_066,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_5]) ).
cnf(c_0_8_067,negated_conjecture,
( X1 = esk2_1(X1)
| aReductOfIn0(esk2_1(X1),X1,xR)
| sdtmndtplgtdt0(esk3_1(X1),xR,esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9_068,negated_conjecture,
( X1 = esk2_1(X1)
| aReductOfIn0(esk2_1(X1),X1,xR)
| aReductOfIn0(esk3_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10_069,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,esk1_0,xR) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11_070,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk1_0,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12_071,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk1_0,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13_072,negated_conjecture,
( ~ aElement0(X1)
| ~ iLess0(X1,esk1_0)
| ~ aReductOfIn0(X2,esk2_1(X1),xR) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14_073,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15_074,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16_075,negated_conjecture,
( X1 = esk2_1(X1)
| aReductOfIn0(esk2_1(X1),X1,xR)
| aElement0(esk3_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17_076,negated_conjecture,
( X1 = esk2_1(X1)
| sdtmndtplgtdt0(X1,xR,esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18_077,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19_078,negated_conjecture,
( aNormalFormOfIn0(esk2_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20_079,negated_conjecture,
~ aNormalFormOfIn0(X1,esk1_0,xR),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21_080,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| esk1_0 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22_081,negated_conjecture,
( aElement0(esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23_082,negated_conjecture,
aElement0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24_083,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_25_084,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_26_085,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,esk1_0,xR)
| ~ aElement0(X2) ),
c_0_6,
[final] ).
cnf(c_0_27_086,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aElement0(X3) ),
c_0_7,
[final] ).
cnf(c_0_28_087,negated_conjecture,
( esk2_1(X1) = X1
| aReductOfIn0(esk2_1(X1),X1,xR)
| sdtmndtplgtdt0(esk3_1(X1),xR,esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_8,
[final] ).
cnf(c_0_29_088,negated_conjecture,
( esk2_1(X1) = X1
| aReductOfIn0(esk2_1(X1),X1,xR)
| aReductOfIn0(esk3_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_9,
[final] ).
cnf(c_0_30_089,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,esk1_0,xR) ),
c_0_10,
[final] ).
cnf(c_0_31_090,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(esk1_0,xR,X1) ),
c_0_11,
[final] ).
cnf(c_0_32_091,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(esk1_0,xR,X1) ),
c_0_12,
[final] ).
cnf(c_0_33_092,negated_conjecture,
( ~ aElement0(X1)
| ~ iLess0(X1,esk1_0)
| ~ aReductOfIn0(X2,esk2_1(X1),xR) ),
c_0_13,
[final] ).
cnf(c_0_34_093,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
c_0_14,
[final] ).
cnf(c_0_35_094,hypothesis,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) ),
c_0_15,
[final] ).
cnf(c_0_36_095,negated_conjecture,
( esk2_1(X1) = X1
| aReductOfIn0(esk2_1(X1),X1,xR)
| aElement0(esk3_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_16,
[final] ).
cnf(c_0_37_096,negated_conjecture,
( esk2_1(X1) = X1
| sdtmndtplgtdt0(X1,xR,esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_17,
[final] ).
cnf(c_0_38_097,negated_conjecture,
( sdtmndtasgtdt0(X1,xR,esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_18,
[final] ).
cnf(c_0_39_098,negated_conjecture,
( aNormalFormOfIn0(esk2_1(X1),X1,xR)
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_19,
[final] ).
cnf(c_0_40_099,negated_conjecture,
~ aNormalFormOfIn0(X1,esk1_0,xR),
c_0_20,
[final] ).
cnf(c_0_41_100,negated_conjecture,
( aReductOfIn0(esk4_1(X1),X1,xR)
| ~ aElement0(X1)
| esk1_0 != X1 ),
c_0_21,
[final] ).
cnf(c_0_42_101,negated_conjecture,
( aElement0(esk2_1(X1))
| ~ aElement0(X1)
| ~ iLess0(X1,esk1_0) ),
c_0_22,
[final] ).
cnf(c_0_43_102,negated_conjecture,
aElement0(esk1_0),
c_0_23,
[final] ).
cnf(c_0_44_103,hypothesis,
aRewritingSystem0(xR),
c_0_24,
[final] ).
cnf(c_0_45_104,hypothesis,
isTerminating0(xR),
c_0_25,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_116,negated_conjecture,
( ~ aReductOfIn0(X0,sk3_esk2_1(X1),xR)
| ~ aElement0(X1)
| ~ iLess0(X1,sk3_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_33) ).
cnf(c_192,negated_conjecture,
( ~ aReductOfIn0(X0,sk3_esk2_1(X1),xR)
| ~ aElement0(X1)
| ~ iLess0(X1,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_116]) ).
cnf(c_247,negated_conjecture,
( ~ aReductOfIn0(X0,sk3_esk2_1(X1),xR)
| ~ aElement0(X1)
| ~ iLess0(X1,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_192]) ).
cnf(c_272,negated_conjecture,
( ~ aReductOfIn0(X0,sk3_esk2_1(X1),xR)
| ~ aElement0(X1)
| ~ iLess0(X1,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_247]) ).
cnf(c_287,negated_conjecture,
( ~ aReductOfIn0(X0,sk3_esk2_1(X1),xR)
| ~ aElement0(X1)
| ~ iLess0(X1,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_272]) ).
cnf(c_414,negated_conjecture,
( ~ aReductOfIn0(X0,sk3_esk2_1(X1),xR)
| ~ aElement0(X1)
| ~ iLess0(X1,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_287]) ).
cnf(c_28709,plain,
( ~ aReductOfIn0(X0,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)),xR)
| ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ iLess0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_414]) ).
cnf(c_29070,plain,
( ~ aReductOfIn0(sk3_esk4_1(sk3_esk2_1(sk3_esk4_1(sk3_esk1_0))),sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)),xR)
| ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ iLess0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_28709]) ).
cnf(c_40,plain,
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_47_3) ).
cnf(c_338,plain,
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2) ),
inference(copy,[status(esa)],[c_40]) ).
cnf(c_28441,plain,
( ~ aElement0(sk3_esk1_0)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| sdtmndtasgtdt0(sk3_esk1_0,X2,X1)
| ~ sdtmndtasgtdt0(sk3_esk1_0,X2,X0)
| ~ sdtmndtasgtdt0(X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_338]) ).
cnf(c_28546,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(sk3_esk4_1(sk3_esk1_0),X1,X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,X1,sk3_esk4_1(sk3_esk1_0))
| sdtmndtasgtdt0(sk3_esk1_0,X1,X0) ),
inference(instantiation,[status(thm)],[c_28441]) ).
cnf(c_29013,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aElement0(sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ aRewritingSystem0(X0)
| ~ sdtmndtasgtdt0(sk3_esk4_1(sk3_esk1_0),X0,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ sdtmndtasgtdt0(sk3_esk1_0,X0,sk3_esk4_1(sk3_esk1_0))
| sdtmndtasgtdt0(sk3_esk1_0,X0,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_28546]) ).
cnf(c_29014,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aElement0(sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(sk3_esk4_1(sk3_esk1_0),xR,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,sk3_esk4_1(sk3_esk1_0))
| sdtmndtasgtdt0(sk3_esk1_0,xR,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_29013]) ).
cnf(c_115,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_32) ).
cnf(c_190,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,X0) ),
inference(copy,[status(esa)],[c_115]) ).
cnf(c_246,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,X0) ),
inference(copy,[status(esa)],[c_190]) ).
cnf(c_273,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,X0) ),
inference(copy,[status(esa)],[c_246]) ).
cnf(c_286,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,X0) ),
inference(copy,[status(esa)],[c_273]) ).
cnf(c_413,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,X0) ),
inference(copy,[status(esa)],[c_286]) ).
cnf(c_28842,plain,
( aReductOfIn0(sk3_esk4_1(sk3_esk2_1(sk3_esk4_1(sk3_esk1_0))),sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)),xR)
| ~ aElement0(sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ sdtmndtasgtdt0(sk3_esk1_0,xR,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_413]) ).
cnf(c_60,plain,
( ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_51_1) ).
cnf(c_358,plain,
( ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,X1,X2) ),
inference(copy,[status(esa)],[c_60]) ).
cnf(c_28394,plain,
( ~ aElement0(sk3_esk1_0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(sk3_esk1_0,X1,X0)
| sdtmndtasgtdt0(sk3_esk1_0,X1,X0) ),
inference(instantiation,[status(thm)],[c_358]) ).
cnf(c_28562,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aRewritingSystem0(X0)
| ~ sdtmndtplgtdt0(sk3_esk1_0,X0,sk3_esk4_1(sk3_esk1_0))
| sdtmndtasgtdt0(sk3_esk1_0,X0,sk3_esk4_1(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_28394]) ).
cnf(c_28665,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aRewritingSystem0(xR)
| ~ sdtmndtplgtdt0(sk3_esk1_0,xR,sk3_esk4_1(sk3_esk1_0))
| sdtmndtasgtdt0(sk3_esk1_0,xR,sk3_esk4_1(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_28562]) ).
cnf(c_55,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X1,X2,X0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_50_1) ).
cnf(c_353,plain,
( ~ aReductOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0)
| sdtmndtplgtdt0(X1,X2,X0) ),
inference(copy,[status(esa)],[c_55]) ).
cnf(c_28386,plain,
( ~ aReductOfIn0(X0,sk3_esk1_0,X1)
| ~ aElement0(sk3_esk1_0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sdtmndtplgtdt0(sk3_esk1_0,X1,X0) ),
inference(instantiation,[status(thm)],[c_353]) ).
cnf(c_28564,plain,
( ~ aReductOfIn0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0,X0)
| ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aRewritingSystem0(X0)
| sdtmndtplgtdt0(sk3_esk1_0,X0,sk3_esk4_1(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_28386]) ).
cnf(c_28663,plain,
( ~ aReductOfIn0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0,xR)
| ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aRewritingSystem0(xR)
| sdtmndtplgtdt0(sk3_esk1_0,xR,sk3_esk4_1(sk3_esk1_0)) ),
inference(instantiation,[status(thm)],[c_28564]) ).
cnf(c_117,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| iLess0(X0,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_34) ).
cnf(c_172,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| iLess0(X0,X1) ),
inference(copy,[status(esa)],[c_117]) ).
cnf(c_248,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| iLess0(X0,X1) ),
inference(copy,[status(esa)],[c_172]) ).
cnf(c_271,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| iLess0(X0,X1) ),
inference(copy,[status(esa)],[c_248]) ).
cnf(c_288,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| iLess0(X0,X1) ),
inference(copy,[status(esa)],[c_271]) ).
cnf(c_415,plain,
( ~ aReductOfIn0(X0,X1,xR)
| ~ aElement0(X1)
| ~ aElement0(X0)
| iLess0(X0,X1) ),
inference(copy,[status(esa)],[c_288]) ).
cnf(c_28368,plain,
( ~ aReductOfIn0(X0,sk3_esk1_0,xR)
| ~ aElement0(sk3_esk1_0)
| ~ aElement0(X0)
| iLess0(X0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_28568,plain,
( ~ aReductOfIn0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0,xR)
| ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| iLess0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_28368]) ).
cnf(c_121,negated_conjecture,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sk3_esk2_1(X0))
| ~ iLess0(X0,sk3_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_38) ).
cnf(c_198,negated_conjecture,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sk3_esk2_1(X0))
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_121]) ).
cnf(c_252,negated_conjecture,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sk3_esk2_1(X0))
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_198]) ).
cnf(c_267,negated_conjecture,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sk3_esk2_1(X0))
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_252]) ).
cnf(c_292,negated_conjecture,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sk3_esk2_1(X0))
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_267]) ).
cnf(c_419,negated_conjecture,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,sk3_esk2_1(X0))
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_292]) ).
cnf(c_28636,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| sdtmndtasgtdt0(sk3_esk4_1(sk3_esk1_0),xR,sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ iLess0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_419]) ).
cnf(c_124,negated_conjecture,
( aElement0(sk3_esk2_1(X0))
| ~ aElement0(X0)
| ~ iLess0(X0,sk3_esk1_0) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_42) ).
cnf(c_204,negated_conjecture,
( aElement0(sk3_esk2_1(X0))
| ~ aElement0(X0)
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_124]) ).
cnf(c_255,negated_conjecture,
( aElement0(sk3_esk2_1(X0))
| ~ aElement0(X0)
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_204]) ).
cnf(c_264,negated_conjecture,
( aElement0(sk3_esk2_1(X0))
| ~ aElement0(X0)
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_255]) ).
cnf(c_295,negated_conjecture,
( aElement0(sk3_esk2_1(X0))
| ~ aElement0(X0)
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_264]) ).
cnf(c_422,negated_conjecture,
( aElement0(sk3_esk2_1(X0))
| ~ aElement0(X0)
| ~ iLess0(X0,sk3_esk1_0) ),
inference(copy,[status(esa)],[c_295]) ).
cnf(c_28640,plain,
( ~ aElement0(sk3_esk4_1(sk3_esk1_0))
| aElement0(sk3_esk2_1(sk3_esk4_1(sk3_esk1_0)))
| ~ iLess0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_422]) ).
cnf(c_69,plain,
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_53_1) ).
cnf(c_367,plain,
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2) ),
inference(copy,[status(esa)],[c_69]) ).
cnf(c_28359,plain,
( ~ aReductOfIn0(X0,sk3_esk1_0,X1)
| ~ aElement0(sk3_esk1_0)
| aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(instantiation,[status(thm)],[c_367]) ).
cnf(c_28480,plain,
( ~ aReductOfIn0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0,xR)
| aElement0(sk3_esk4_1(sk3_esk1_0))
| ~ aElement0(sk3_esk1_0)
| ~ aRewritingSystem0(xR) ),
inference(instantiation,[status(thm)],[c_28359]) ).
cnf(c_123,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| sk3_esk1_0 != X0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_41) ).
cnf(c_202,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| sk3_esk1_0 != X0 ),
inference(copy,[status(esa)],[c_123]) ).
cnf(c_254,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| sk3_esk1_0 != X0 ),
inference(copy,[status(esa)],[c_202]) ).
cnf(c_265,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| sk3_esk1_0 != X0 ),
inference(copy,[status(esa)],[c_254]) ).
cnf(c_294,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| sk3_esk1_0 != X0 ),
inference(copy,[status(esa)],[c_265]) ).
cnf(c_421,negated_conjecture,
( aReductOfIn0(sk3_esk4_1(X0),X0,xR)
| ~ aElement0(X0)
| sk3_esk1_0 != X0 ),
inference(copy,[status(esa)],[c_294]) ).
cnf(c_28353,plain,
( aReductOfIn0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0,xR)
| ~ aElement0(sk3_esk1_0)
| sk3_esk1_0 != sk3_esk1_0 ),
inference(instantiation,[status(thm)],[c_421]) ).
cnf(c_28477,plain,
( aReductOfIn0(sk3_esk4_1(sk3_esk1_0),sk3_esk1_0,xR)
| ~ aElement0(sk3_esk1_0) ),
inference(equality_resolution_simp,[status(esa)],[c_28353]) ).
cnf(c_127,plain,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_44) ).
cnf(c_126,negated_conjecture,
aElement0(sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_b6e487.p',c_0_43) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_29070,c_29014,c_28842,c_28665,c_28663,c_28568,c_28636,c_28640,c_28480,c_28477,c_127,c_126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 17:09:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.12/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40 % FOF problem with conjecture
% 0.12/0.40 % 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/sandbox/tmp/iprover_proof_027eeb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b6e487.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_8f3d45 | grep -v "SZS"
% 0.20/0.42
% 0.20/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ iProver source info
% 0.20/0.42
% 0.20/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42 % git: non_committed_changes: true
% 0.20/0.42 % git: last_make_outside_of_git: true
% 0.20/0.42
% 0.20/0.42 %
% 0.20/0.42 % ------ Input Options
% 0.20/0.42
% 0.20/0.42 % --out_options all
% 0.20/0.42 % --tptp_safe_out true
% 0.20/0.42 % --problem_path ""
% 0.20/0.42 % --include_path ""
% 0.20/0.42 % --clausifier .//eprover
% 0.20/0.42 % --clausifier_options --tstp-format
% 0.20/0.42 % --stdin false
% 0.20/0.42 % --dbg_backtrace false
% 0.20/0.42 % --dbg_dump_prop_clauses false
% 0.20/0.42 % --dbg_dump_prop_clauses_file -
% 0.20/0.42 % --dbg_out_stat false
% 0.20/0.42
% 0.20/0.42 % ------ General Options
% 0.20/0.42
% 0.20/0.42 % --fof false
% 0.20/0.42 % --time_out_real 150.
% 0.20/0.42 % --time_out_prep_mult 0.2
% 0.20/0.42 % --time_out_virtual -1.
% 0.20/0.42 % --schedule none
% 0.20/0.42 % --ground_splitting input
% 0.20/0.42 % --splitting_nvd 16
% 0.20/0.42 % --non_eq_to_eq false
% 0.20/0.42 % --prep_gs_sim true
% 0.20/0.42 % --prep_unflatten false
% 0.20/0.42 % --prep_res_sim true
% 0.20/0.42 % --prep_upred true
% 0.20/0.42 % --res_sim_input true
% 0.20/0.42 % --clause_weak_htbl true
% 0.20/0.42 % --gc_record_bc_elim false
% 0.20/0.42 % --symbol_type_check false
% 0.20/0.42 % --clausify_out false
% 0.20/0.42 % --large_theory_mode false
% 0.20/0.42 % --prep_sem_filter none
% 0.20/0.42 % --prep_sem_filter_out false
% 0.20/0.42 % --preprocessed_out false
% 0.20/0.42 % --sub_typing false
% 0.20/0.42 % --brand_transform false
% 0.20/0.42 % --pure_diseq_elim true
% 0.20/0.42 % --min_unsat_core false
% 0.20/0.42 % --pred_elim true
% 0.20/0.42 % --add_important_lit false
% 0.20/0.42 % --soft_assumptions false
% 0.20/0.42 % --reset_solvers false
% 0.20/0.42 % --bc_imp_inh []
% 0.20/0.42 % --conj_cone_tolerance 1.5
% 0.20/0.42 % --prolific_symb_bound 500
% 0.20/0.42 % --lt_threshold 2000
% 0.20/0.42
% 0.20/0.42 % ------ SAT Options
% 0.20/0.42
% 0.20/0.42 % --sat_mode false
% 0.20/0.42 % --sat_fm_restart_options ""
% 0.20/0.42 % --sat_gr_def false
% 0.20/0.42 % --sat_epr_types true
% 0.20/0.42 % --sat_non_cyclic_types false
% 0.20/0.42 % --sat_finite_models false
% 0.20/0.42 % --sat_fm_lemmas false
% 0.20/0.42 % --sat_fm_prep false
% 0.20/0.42 % --sat_fm_uc_incr true
% 0.20/0.42 % --sat_out_model small
% 0.20/0.42 % --sat_out_clauses false
% 0.20/0.42
% 0.20/0.42 % ------ QBF Options
% 0.20/0.42
% 0.20/0.42 % --qbf_mode false
% 0.20/0.42 % --qbf_elim_univ true
% 0.20/0.42 % --qbf_sk_in true
% 0.20/0.42 % --qbf_pred_elim true
% 0.20/0.42 % --qbf_split 32
% 0.20/0.42
% 0.20/0.42 % ------ BMC1 Options
% 0.20/0.42
% 0.20/0.42 % --bmc1_incremental false
% 0.20/0.42 % --bmc1_axioms reachable_all
% 0.20/0.42 % --bmc1_min_bound 0
% 0.20/0.42 % --bmc1_max_bound -1
% 0.20/0.42 % --bmc1_max_bound_default -1
% 0.20/0.42 % --bmc1_symbol_reachability true
% 0.20/0.42 % --bmc1_property_lemmas false
% 0.20/0.42 % --bmc1_k_induction false
% 0.20/0.42 % --bmc1_non_equiv_states false
% 0.20/0.42 % --bmc1_deadlock false
% 0.20/0.42 % --bmc1_ucm false
% 0.20/0.42 % --bmc1_add_unsat_core none
% 0.20/0.42 % --bmc1_unsat_core_children false
% 0.20/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.42 % --bmc1_out_stat full
% 0.20/0.42 % --bmc1_ground_init false
% 0.20/0.42 % --bmc1_pre_inst_next_state false
% 0.20/0.42 % --bmc1_pre_inst_state false
% 0.20/0.42 % --bmc1_pre_inst_reach_state false
% 0.20/0.42 % --bmc1_out_unsat_core false
% 0.20/0.42 % --bmc1_aig_witness_out false
% 0.20/0.42 % --bmc1_verbose false
% 0.20/0.42 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_027eeb.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ 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 %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality true
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 1.17/1.39 % --inst_prop_sim_new false
% 1.17/1.39 % --inst_orphan_elimination true
% 1.17/1.39 % --inst_learning_loop_flag true
% 1.17/1.39 % --inst_learning_start 3000
% 1.17/1.39 % --inst_learning_factor 2
% 1.17/1.39 % --inst_start_prop_sim_after_learn 3
% 1.17/1.39 % --inst_sel_renew solver
% 1.17/1.39 % --inst_lit_activity_flag true
% 1.17/1.39 % --inst_out_proof true
% 1.17/1.39
% 1.17/1.39 % ------ Resolution Options
% 1.17/1.39
% 1.17/1.39 % --resolution_flag true
% 1.17/1.39 % --res_lit_sel kbo_max
% 1.17/1.39 % --res_to_prop_solver none
% 1.17/1.39 % --res_prop_simpl_new false
% 1.17/1.39 % --res_prop_simpl_given false
% 1.17/1.39 % --res_passive_queue_type priority_queues
% 1.17/1.39 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.17/1.39 % --res_passive_queues_freq [15;5]
% 1.17/1.39 % --res_forward_subs full
% 1.17/1.39 % --res_backward_subs full
% 1.17/1.39 % --res_forward_subs_resolution true
% 1.17/1.39 % --res_backward_subs_resolution true
% 1.17/1.39 % --res_orphan_elimination false
% 1.17/1.39 % --res_time_limit 1000.
% 1.17/1.39 % --res_out_proof true
% 1.17/1.39 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_027eeb.s
% 1.17/1.39 % --modulo true
% 1.17/1.39
% 1.17/1.39 % ------ Combination Options
% 1.17/1.39
% 1.17/1.39 % --comb_res_mult 1000
% 1.17/1.39 % --comb_inst_mult 300
% 1.17/1.39 % ------
% 1.17/1.39
% 1.17/1.39
% 1.17/1.39
% 1.17/1.39 % ------ Proving...
% 1.17/1.39 %
% 1.17/1.39
% 1.17/1.39
% 1.17/1.39 % ------ Statistics
% 1.17/1.39
% 1.17/1.39 % ------ General
% 1.17/1.39
% 1.17/1.39 % num_of_input_clauses: 129
% 1.17/1.39 % num_of_input_neg_conjectures: 15
% 1.17/1.39 % num_of_splits: 0
% 1.17/1.39 % num_of_split_atoms: 0
% 1.17/1.39 % num_of_sem_filtered_clauses: 0
% 1.17/1.39 % num_of_subtypes: 0
% 1.17/1.39 % monotx_restored_types: 0
% 1.17/1.39 % sat_num_of_epr_types: 0
% 1.17/1.39 % sat_num_of_non_cyclic_types: 0
% 1.17/1.39 % sat_guarded_non_collapsed_types: 0
% 1.17/1.39 % is_epr: 0
% 1.17/1.39 % is_horn: 0
% 1.17/1.39 % has_eq: 1
% 1.17/1.39 % num_pure_diseq_elim: 0
% 1.17/1.39 % simp_replaced_by: 0
% 1.17/1.39 % res_preprocessed: 35
% 1.17/1.39 % prep_upred: 0
% 1.17/1.39 % prep_unflattend: 0
% 1.17/1.39 % pred_elim_cands: 2
% 1.17/1.39 % pred_elim: 2
% 1.17/1.39 % pred_elim_cl: 2
% 1.17/1.39 % pred_elim_cycles: 3
% 1.17/1.39 % forced_gc_time: 0
% 1.17/1.39 % gc_basic_clause_elim: 0
% 1.17/1.39 % parsing_time: 0.006
% 1.17/1.39 % sem_filter_time: 0.
% 1.17/1.39 % pred_elim_time: 0.
% 1.17/1.39 % out_proof_time: 0.002
% 1.17/1.39 % monotx_time: 0.
% 1.17/1.39 % subtype_inf_time: 0.
% 1.17/1.39 % unif_index_cands_time: 0.003
% 1.17/1.39 % unif_index_add_time: 0.001
% 1.17/1.39 % total_time: 0.984
% 1.17/1.39 % num_of_symbols: 52
% 1.17/1.39 % num_of_terms: 12327
% 1.17/1.39
% 1.17/1.39 % ------ Propositional Solver
% 1.17/1.39
% 1.17/1.39 % prop_solver_calls: 7
% 1.17/1.39 % prop_fast_solver_calls: 182
% 1.17/1.39 % prop_num_of_clauses: 634
% 1.17/1.39 % prop_preprocess_simplified: 1592
% 1.17/1.39 % prop_fo_subsumed: 0
% 1.17/1.39 % prop_solver_time: 0.
% 1.17/1.39 % prop_fast_solver_time: 0.
% 1.17/1.39 % prop_unsat_core_time: 0.
% 1.17/1.39
% 1.17/1.39 % ------ QBF
% 1.17/1.39
% 1.17/1.39 % qbf_q_res: 0
% 1.17/1.39 % qbf_num_tautologies: 0
% 1.17/1.39 % qbf_prep_cycles: 0
% 1.17/1.39
% 1.17/1.39 % ------ BMC1
% 1.17/1.39
% 1.17/1.39 % bmc1_current_bound: -1
% 1.17/1.39 % bmc1_last_solved_bound: -1
% 1.17/1.39 % bmc1_unsat_core_size: -1
% 1.17/1.39 % bmc1_unsat_core_parents_size: -1
% 1.17/1.39 % bmc1_merge_next_fun: 0
% 1.17/1.39 % bmc1_unsat_core_clauses_time: 0.
% 1.17/1.39
% 1.17/1.39 % ------ Instantiation
% 1.17/1.39
% 1.17/1.39 % inst_num_of_clauses: 451
% 1.17/1.39 % inst_num_in_passive: 185
% 1.17/1.39 % inst_num_in_active: 255
% 1.17/1.39 % inst_num_in_unprocessed: 2
% 1.17/1.39 % inst_num_of_loops: 265
% 1.23/1.39 % inst_num_of_learning_restarts: 0
% 1.23/1.39 % inst_num_moves_active_passive: 1
% 1.23/1.39 % inst_lit_activity: 343
% 1.23/1.39 % inst_lit_activity_moves: 0
% 1.23/1.39 % inst_num_tautologies: 5
% 1.23/1.39 % inst_num_prop_implied: 0
% 1.23/1.39 % inst_num_existing_simplified: 0
% 1.23/1.39 % inst_num_eq_res_simplified: 2
% 1.23/1.39 % inst_num_child_elim: 0
% 1.23/1.39 % inst_num_of_dismatching_blockings: 0
% 1.23/1.39 % inst_num_of_non_proper_insts: 161
% 1.23/1.39 % inst_num_of_duplicates: 177
% 1.23/1.39 % inst_inst_num_from_inst_to_res: 0
% 1.23/1.39 % inst_dismatching_checking_time: 0.
% 1.23/1.39
% 1.23/1.39 % ------ Resolution
% 1.23/1.39
% 1.23/1.39 % res_num_of_clauses: 7853
% 1.23/1.39 % res_num_in_passive: 7113
% 1.23/1.39 % res_num_in_active: 654
% 1.23/1.39 % res_num_of_loops: 1000
% 1.23/1.39 % res_forward_subset_subsumed: 343
% 1.23/1.39 % res_backward_subset_subsumed: 25
% 1.23/1.39 % res_forward_subsumed: 382
% 1.23/1.39 % res_backward_subsumed: 20
% 1.23/1.39 % res_forward_subsumption_resolution: 517
% 1.23/1.39 % res_backward_subsumption_resolution: 0
% 1.23/1.39 % res_clause_to_clause_subsumption: 26149
% 1.23/1.39 % res_orphan_elimination: 0
% 1.23/1.39 % res_tautology_del: 357
% 1.23/1.39 % res_num_eq_res_simplified: 171
% 1.23/1.39 % res_num_sel_changes: 0
% 1.23/1.39 % res_moves_from_active_to_pass: 0
% 1.23/1.39
% 1.23/1.39 % Status Unsatisfiable
% 1.23/1.39 % SZS status Theorem
% 1.23/1.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------