TSTP Solution File: RNG088+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:30:23 EDT 2022
% Result : Theorem 174.80s 175.03s
% Output : CNFRefutation 174.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 37
% Syntax : Number of formulae : 436 ( 57 unt; 0 def)
% Number of atoms : 1804 ( 385 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 2408 (1040 ~;1195 |; 109 &)
% ( 10 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 11 con; 0-4 aty)
% Number of variables : 918 ( 4 sgn 142 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('<stdin>',mDefSSum) ).
fof(c_0_1,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('<stdin>',mDefSInt) ).
fof(c_0_2,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('<stdin>',mDefIdeal) ).
fof(c_0_3,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,X2) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) )
=> X1 = X2 ) ),
file('<stdin>',mSetEq) ).
fof(c_0_4,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('<stdin>',mAMDistr) ).
fof(c_0_5,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('<stdin>',mMulAsso) ).
fof(c_0_6,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('<stdin>',mAddAsso) ).
fof(c_0_7,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('<stdin>',mSortsB_02) ).
fof(c_0_8,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('<stdin>',mSortsB) ).
fof(c_0_9,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('<stdin>',mMulComm) ).
fof(c_0_10,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('<stdin>',mAddComm) ).
fof(c_0_11,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('<stdin>',mCancel) ).
fof(c_0_12,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('<stdin>',mEOfElem) ).
fof(c_0_13,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('<stdin>',mMulMnOne) ).
fof(c_0_14,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('<stdin>',mAddInvr) ).
fof(c_0_15,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('<stdin>',mMulUnit) ).
fof(c_0_16,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('<stdin>',mAddZero) ).
fof(c_0_17,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('<stdin>',mMulZero) ).
fof(c_0_18,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('<stdin>',mSortsU) ).
fof(c_0_19,axiom,
aElement0(sz10),
file('<stdin>',mSortsC_01) ).
fof(c_0_20,axiom,
aElement0(sz00),
file('<stdin>',mSortsC) ).
fof(c_0_21,axiom,
sz10 != sz00,
file('<stdin>',mUnNeZr) ).
fof(c_0_22,axiom,
! [X1] :
( aSet0(X1)
=> $true ),
file('<stdin>',mSetSort) ).
fof(c_0_23,axiom,
! [X1] :
( aElement0(X1)
=> $true ),
file('<stdin>',mElmSort) ).
fof(c_0_24,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
c_0_0 ).
fof(c_0_25,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
c_0_1 ).
fof(c_0_26,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
c_0_2 ).
fof(c_0_27,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(X3,X2) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) )
=> X1 = X2 ) ),
c_0_3 ).
fof(c_0_28,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
c_0_4 ).
fof(c_0_29,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
c_0_5 ).
fof(c_0_30,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
c_0_6 ).
fof(c_0_31,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
c_0_7 ).
fof(c_0_32,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
c_0_8 ).
fof(c_0_33,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
c_0_9 ).
fof(c_0_34,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
c_0_10 ).
fof(c_0_35,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
c_0_11 ).
fof(c_0_36,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
c_0_12 ).
fof(c_0_37,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
c_0_13 ).
fof(c_0_38,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
c_0_14 ).
fof(c_0_39,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
c_0_15 ).
fof(c_0_40,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
c_0_16 ).
fof(c_0_41,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
c_0_17 ).
fof(c_0_42,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
c_0_18 ).
fof(c_0_43,axiom,
aElement0(sz10),
c_0_19 ).
fof(c_0_44,axiom,
aElement0(sz00),
c_0_20 ).
fof(c_0_45,axiom,
sz10 != sz00,
c_0_21 ).
fof(c_0_46,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_47,plain,
! [X1] : $true,
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_48,plain,
! [X7,X8,X9,X10,X13,X14,X15,X16,X18,X19] :
( ( aSet0(X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk3_4(X7,X8,X9,X10),X7)
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk4_4(X7,X8,X9,X10),X8)
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( sdtpldt0(esk3_4(X7,X8,X9,X10),esk4_4(X7,X8,X9,X10)) = X10
| ~ aElementOf0(X10,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( ~ aElementOf0(X14,X7)
| ~ aElementOf0(X15,X8)
| sdtpldt0(X14,X15) != X13
| aElementOf0(X13,X9)
| X9 != sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( ~ aElementOf0(esk5_3(X7,X8,X16),X16)
| ~ aElementOf0(X18,X7)
| ~ aElementOf0(X19,X8)
| sdtpldt0(X18,X19) != esk5_3(X7,X8,X16)
| ~ aSet0(X16)
| X16 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk6_3(X7,X8,X16),X7)
| aElementOf0(esk5_3(X7,X8,X16),X16)
| ~ aSet0(X16)
| X16 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( aElementOf0(esk7_3(X7,X8,X16),X8)
| aElementOf0(esk5_3(X7,X8,X16),X16)
| ~ aSet0(X16)
| X16 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) )
& ( sdtpldt0(esk6_3(X7,X8,X16),esk7_3(X7,X8,X16)) = esk5_3(X7,X8,X16)
| aElementOf0(esk5_3(X7,X8,X16),X16)
| ~ aSet0(X16)
| X16 = sdtpldt1(X7,X8)
| ~ aSet0(X7)
| ~ aSet0(X8) ) ),
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_24])])])])])]) ).
fof(c_0_49,plain,
! [X5,X6,X7,X8,X9,X10] :
( ( aSet0(X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(X8,X6)
| ~ aElementOf0(X8,X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( ~ aElementOf0(X9,X5)
| ~ aElementOf0(X9,X6)
| aElementOf0(X9,X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( ~ aElementOf0(esk8_3(X5,X6,X10),X10)
| ~ aElementOf0(esk8_3(X5,X6,X10),X5)
| ~ aElementOf0(esk8_3(X5,X6,X10),X6)
| ~ aSet0(X10)
| X10 = sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(esk8_3(X5,X6,X10),X5)
| aElementOf0(esk8_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(esk8_3(X5,X6,X10),X6)
| aElementOf0(esk8_3(X5,X6,X10),X10)
| ~ aSet0(X10)
| X10 = sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(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_25])])])])])]) ).
fof(c_0_50,plain,
! [X4,X5,X6,X7,X8] :
( ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk9_1(X8),X8)
| ~ aSet0(X8)
| aIdeal0(X8) )
& ( aElement0(esk11_1(X8))
| aElementOf0(esk10_1(X8),X8)
| ~ aSet0(X8)
| aIdeal0(X8) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X8),esk9_1(X8)),X8)
| aElementOf0(esk10_1(X8),X8)
| ~ aSet0(X8)
| aIdeal0(X8) )
& ( aElement0(esk11_1(X8))
| ~ aElementOf0(sdtpldt0(esk9_1(X8),esk10_1(X8)),X8)
| ~ aSet0(X8)
| aIdeal0(X8) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X8),esk9_1(X8)),X8)
| ~ aElementOf0(sdtpldt0(esk9_1(X8),esk10_1(X8)),X8)
| ~ aSet0(X8)
| aIdeal0(X8) ) ),
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_26])])])])])]) ).
fof(c_0_51,plain,
! [X4,X5] :
( ( aElementOf0(esk2_2(X4,X5),X5)
| aElementOf0(esk1_2(X4,X5),X4)
| X4 = X5
| ~ aSet0(X4)
| ~ aSet0(X5) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| aElementOf0(esk1_2(X4,X5),X4)
| X4 = X5
| ~ aSet0(X4)
| ~ aSet0(X5) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aElementOf0(esk1_2(X4,X5),X5)
| X4 = X5
| ~ aSet0(X4)
| ~ aSet0(X5) )
& ( ~ aElementOf0(esk2_2(X4,X5),X4)
| ~ aElementOf0(esk1_2(X4,X5),X5)
| X4 = X5
| ~ aSet0(X4)
| ~ aSet0(X5) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_52,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6) )
& ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_53,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6)
| sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).
fof(c_0_54,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6)
| sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_55,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_56,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_57,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_58,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
fof(c_0_59,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).
fof(c_0_60,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_61,plain,
! [X2] :
( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
| ~ aElement0(X2) )
& ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
fof(c_0_62,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| ~ aElement0(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_63,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aElement0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_64,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aElement0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_65,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aElement0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_66,plain,
! [X2] :
( ~ aElement0(X2)
| aElement0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).
fof(c_0_67,axiom,
aElement0(sz10),
c_0_43 ).
fof(c_0_68,axiom,
aElement0(sz00),
c_0_44 ).
fof(c_0_69,axiom,
sz10 != sz00,
c_0_45 ).
fof(c_0_70,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_46]) ).
fof(c_0_71,plain,
! [X2] : $true,
inference(variable_rename,[status(thm)],[c_0_47]) ).
cnf(c_0_72,plain,
( sdtpldt0(esk3_4(X2,X1,X3,X4),esk4_4(X2,X1,X3,X4)) = X4
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73,plain,
( X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk8_3(X2,X1,X3),X1)
| ~ aElementOf0(esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(esk8_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_74,plain,
( aElementOf0(esk3_4(X2,X1,X3,X4),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_75,plain,
( aElementOf0(esk4_4(X2,X1,X3,X4),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_76,plain,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| sdtpldt0(esk6_3(X2,X1,X3),esk7_3(X2,X1,X3)) = esk5_3(X2,X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_77,plain,
( X3 = sdtpldt1(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sdtpldt0(X4,X5) != esk5_3(X2,X1,X3)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(esk5_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_78,plain,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(esk8_3(X2,X1,X3),X3)
| aElementOf0(esk8_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_79,plain,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(esk8_3(X2,X1,X3),X3)
| aElementOf0(esk8_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_80,plain,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| aElementOf0(esk6_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_81,plain,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| aElementOf0(esk7_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_82,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_83,plain,
( X2 = X1
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X2,X1),X1)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_84,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_85,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_86,plain,
( sdtasdt0(sdtpldt0(X2,X1),X3) = sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_87,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_88,plain,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_89,plain,
( X2 = X1
| aElementOf0(esk1_2(X2,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_90,plain,
( X2 = X1
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X2,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_91,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_92,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_93,plain,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_94,plain,
( X2 = X1
| aElementOf0(esk1_2(X2,X1),X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_95,plain,
( aElementOf0(sdtpldt0(X2,X3),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_96,plain,
( aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_97,plain,
( aElementOf0(X4,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_98,plain,
( aElementOf0(X4,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_99,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_100,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_101,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_102,plain,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_103,plain,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_104,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_105,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_106,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_107,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_108,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_109,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_110,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_111,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_112,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_113,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_114,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_115,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_116,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_117,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_118,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_119,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_120,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_121,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_122,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_123,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_124,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_125,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_126,plain,
( sdtpldt0(esk3_4(X2,X1,X3,X4),esk4_4(X2,X1,X3,X4)) = X4
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_72,
[final] ).
cnf(c_0_127,plain,
( X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk8_3(X2,X1,X3),X1)
| ~ aElementOf0(esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(esk8_3(X2,X1,X3),X3) ),
c_0_73,
[final] ).
cnf(c_0_128,plain,
( aElementOf0(esk3_4(X2,X1,X3,X4),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_74,
[final] ).
cnf(c_0_129,plain,
( aElementOf0(esk4_4(X2,X1,X3,X4),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_75,
[final] ).
cnf(c_0_130,plain,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| sdtpldt0(esk6_3(X2,X1,X3),esk7_3(X2,X1,X3)) = esk5_3(X2,X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_76,
[final] ).
cnf(c_0_131,plain,
( X3 = sdtpldt1(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sdtpldt0(X4,X5) != esk5_3(X2,X1,X3)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(esk5_3(X2,X1,X3),X3) ),
c_0_77,
[final] ).
cnf(c_0_132,plain,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(esk8_3(X2,X1,X3),X3)
| aElementOf0(esk8_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_78,
[final] ).
cnf(c_0_133,plain,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(esk8_3(X2,X1,X3),X3)
| aElementOf0(esk8_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_79,
[final] ).
cnf(c_0_134,plain,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| aElementOf0(esk6_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_80,
[final] ).
cnf(c_0_135,plain,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(esk5_3(X2,X1,X3),X3)
| aElementOf0(esk7_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
c_0_81,
[final] ).
cnf(c_0_136,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
c_0_82,
[final] ).
cnf(c_0_137,plain,
( X2 = X1
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X2,X1),X1)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
c_0_83,
[final] ).
cnf(c_0_138,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1) ),
c_0_84,
[final] ).
cnf(c_0_139,plain,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
c_0_85,
[final] ).
cnf(c_0_140,plain,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
c_0_86,
[final] ).
cnf(c_0_141,plain,
( aIdeal0(X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1) ),
c_0_87,
[final] ).
cnf(c_0_142,plain,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
c_0_88,
[final] ).
cnf(c_0_143,plain,
( X2 = X1
| aElementOf0(esk1_2(X2,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk2_2(X2,X1),X2) ),
c_0_89,
[final] ).
cnf(c_0_144,plain,
( X2 = X1
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X2,X1),X1) ),
c_0_90,
[final] ).
cnf(c_0_145,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_91,
[final] ).
cnf(c_0_146,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_92,
[final] ).
cnf(c_0_147,plain,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
c_0_93,
[final] ).
cnf(c_0_148,plain,
( X2 = X1
| aElementOf0(esk1_2(X2,X1),X2)
| aElementOf0(esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
c_0_94,
[final] ).
cnf(c_0_149,plain,
( aElementOf0(sdtpldt0(X2,X3),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
c_0_95,
[final] ).
cnf(c_0_150,plain,
( aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElement0(X3) ),
c_0_96,
[final] ).
cnf(c_0_151,plain,
( aElementOf0(X4,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_97,
[final] ).
cnf(c_0_152,plain,
( aElementOf0(X4,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
c_0_98,
[final] ).
cnf(c_0_153,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_99,
[final] ).
cnf(c_0_154,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_100,
[final] ).
cnf(c_0_155,plain,
( aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| aElement0(esk11_1(X1))
| ~ aSet0(X1) ),
c_0_101,
[final] ).
cnf(c_0_156,plain,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1) ),
c_0_102,
[final] ).
cnf(c_0_157,plain,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1) ),
c_0_103,
[final] ).
cnf(c_0_158,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_104,
[final] ).
cnf(c_0_159,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
c_0_105,
[final] ).
cnf(c_0_160,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
c_0_106,
[final] ).
cnf(c_0_161,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
c_0_107,
[final] ).
cnf(c_0_162,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
c_0_108,
[final] ).
cnf(c_0_163,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
c_0_109,
[final] ).
cnf(c_0_164,plain,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aElement0(X1) ),
c_0_110,
[final] ).
cnf(c_0_165,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
c_0_111,
[final] ).
cnf(c_0_166,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
c_0_112,
[final] ).
cnf(c_0_167,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
c_0_113,
[final] ).
cnf(c_0_168,plain,
( sdtasdt0(sz10,X1) = X1
| ~ aElement0(X1) ),
c_0_114,
[final] ).
cnf(c_0_169,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
c_0_115,
[final] ).
cnf(c_0_170,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
c_0_116,
[final] ).
cnf(c_0_171,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
c_0_117,
[final] ).
cnf(c_0_172,plain,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
c_0_118,
[final] ).
cnf(c_0_173,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
c_0_119,
[final] ).
cnf(c_0_174,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
c_0_120,
[final] ).
cnf(c_0_175,plain,
aElement0(sz10),
c_0_121,
[final] ).
cnf(c_0_176,plain,
aElement0(sz00),
c_0_122,
[final] ).
cnf(c_0_177,plain,
sz10 != sz00,
c_0_123,
[final] ).
cnf(c_0_178,plain,
$true,
c_0_124,
[final] ).
cnf(c_0_179,plain,
$true,
c_0_125,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_126_0,axiom,
( sdtpldt0(sk1_esk3_4(X2,X1,X3,X4),sk1_esk4_4(X2,X1,X3,X4)) = X4
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_1,axiom,
( ~ aSet0(X1)
| sdtpldt0(sk1_esk3_4(X2,X1,X3,X4),sk1_esk4_4(X2,X1,X3,X4)) = X4
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| sdtpldt0(sk1_esk3_4(X2,X1,X3,X4),sk1_esk4_4(X2,X1,X3,X4)) = X4
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| sdtpldt0(sk1_esk3_4(X2,X1,X3,X4),sk1_esk4_4(X2,X1,X3,X4)) = X4
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| sdtpldt0(sk1_esk3_4(X2,X1,X3,X4),sk1_esk4_4(X2,X1,X3,X4)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( ~ aSet0(X1)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X3)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtasasdt0(X2,X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_4,axiom,
( ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtasasdt0(X2,X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_5,axiom,
( ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtasasdt0(X2,X1)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_6,axiom,
( ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtasasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( aElementOf0(sk1_esk3_4(X2,X1,X3,X4),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_1,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk3_4(X2,X1,X3,X4),X2)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk3_4(X2,X1,X3,X4),X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk3_4(X2,X1,X3,X4),X2)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk3_4(X2,X1,X3,X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( aElementOf0(sk1_esk4_4(X2,X1,X3,X4),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_1,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk4_4(X2,X1,X3,X4),X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk4_4(X2,X1,X3,X4),X1)
| X3 != sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk4_4(X2,X1,X3,X4),X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk4_4(X2,X1,X3,X4),X1) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| sdtpldt0(sk1_esk6_3(X2,X1,X3),sk1_esk7_3(X2,X1,X3)) = sk1_esk5_3(X2,X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_1,axiom,
( aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| sdtpldt0(sk1_esk6_3(X2,X1,X3),sk1_esk7_3(X2,X1,X3)) = sk1_esk5_3(X2,X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( sdtpldt0(sk1_esk6_3(X2,X1,X3),sk1_esk7_3(X2,X1,X3)) = sk1_esk5_3(X2,X1,X3)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ aSet0(X1)
| sdtpldt0(sk1_esk6_3(X2,X1,X3),sk1_esk7_3(X2,X1,X3)) = sk1_esk5_3(X2,X1,X3)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_4,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| sdtpldt0(sk1_esk6_3(X2,X1,X3),sk1_esk7_3(X2,X1,X3)) = sk1_esk5_3(X2,X1,X3)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| sdtpldt0(sk1_esk6_3(X2,X1,X3),sk1_esk7_3(X2,X1,X3)) = sk1_esk5_3(X2,X1,X3)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( X3 = sdtpldt1(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X3)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_4,axiom,
( sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_5,axiom,
( ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_6,axiom,
( ~ aElementOf0(X4,X2)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1)
| ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_7,axiom,
( ~ aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != sk1_esk5_3(X2,X1,X3)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X3 = sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_1,axiom,
( aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_4,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_4,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk8_3(X2,X1,X3),X3)
| X3 = sdtasasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| aElementOf0(sk1_esk6_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_1,axiom,
( aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| aElementOf0(sk1_esk6_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( aElementOf0(sk1_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_4,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk6_3(X2,X1,X3),X2)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( X3 = sdtpldt1(X2,X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| aElementOf0(sk1_esk7_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_1,axiom,
( aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| aElementOf0(sk1_esk7_3(X2,X1,X3),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( aElementOf0(sk1_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_4,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1)
| ~ aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_5,axiom,
( ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk7_3(X2,X1,X3),X1)
| aElementOf0(sk1_esk5_3(X2,X1,X3),X3)
| X3 = sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( ~ aSet0(X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1)
| ~ aSet0(X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_3,axiom,
( ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1)
| ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1)
| ~ aSet0(X1)
| aIdeal0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( X2 = X1
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1)
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( ~ aSet0(X1)
| X2 = X1
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1)
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = X1
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1)
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_3,axiom,
( ~ aElementOf0(sk1_esk1_2(X2,X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = X1
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_4,axiom,
( ~ aElementOf0(sk1_esk2_2(X2,X1),X2)
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( aIdeal0(X1)
| aElementOf0(sk1_esk10_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( aElementOf0(sk1_esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_3,axiom,
( ~ aElementOf0(sdtasdt0(sk1_esk11_1(X1),sk1_esk9_1(X1)),X1)
| ~ aSet0(X1)
| aElementOf0(sk1_esk10_1(X1),X1)
| aIdeal0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_1,axiom,
( ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1))
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1)) = sdtasdt0(X3,sdtpldt0(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_1,axiom,
( ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_3,axiom,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X1),X3) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( aIdeal0(X1)
| aElement0(sk1_esk11_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_1,axiom,
( aElement0(sk1_esk11_1(X1))
| aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( ~ aSet0(X1)
| aElement0(sk1_esk11_1(X1))
| aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_3,axiom,
( ~ aElementOf0(sdtpldt0(sk1_esk9_1(X1),sk1_esk10_1(X1)),X1)
| ~ aSet0(X1)
| aElement0(sk1_esk11_1(X1))
| aIdeal0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_1,axiom,
( ~ aSet0(X1)
| aElementOf0(X4,X3)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1)
| sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| X3 != sdtpldt1(X2,X1)
| sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_3,axiom,
( X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_4,axiom,
( sdtpldt0(X5,X6) != X4
| X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| ~ aElementOf0(X6,X1)
| ~ aElementOf0(X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_5,axiom,
( ~ aElementOf0(X6,X1)
| sdtpldt0(X5,X6) != X4
| X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| ~ aElementOf0(X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_6,axiom,
( ~ aElementOf0(X5,X2)
| ~ aElementOf0(X6,X1)
| sdtpldt0(X5,X6) != X4
| X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( X2 = X1
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_1,axiom,
( aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_3,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1
| ~ aElementOf0(sk1_esk2_2(X2,X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_4,axiom,
( ~ aElementOf0(sk1_esk2_2(X2,X1),X2)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( X2 = X1
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_1,axiom,
( aElementOf0(sk1_esk2_2(X2,X1),X1)
| X2 = X1
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| X2 = X1
| ~ aSet0(X2)
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_3,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| X2 = X1
| ~ aElementOf0(sk1_esk1_2(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_4,axiom,
( ~ aElementOf0(sk1_esk1_2(X2,X1),X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_1,axiom,
( ~ aElement0(X3)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_2,axiom,
( ~ aElement0(X2)
| ~ aElement0(X3)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_3,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( ~ aElement0(X3)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( ~ aElement0(X2)
| ~ aElement0(X3)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_3,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( ~ aSet0(X1)
| aElementOf0(X4,X3)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_3,axiom,
( X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_4,axiom,
( ~ aElementOf0(X4,X1)
| X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3)
| ~ aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_5,axiom,
( ~ aElementOf0(X4,X2)
| ~ aElementOf0(X4,X1)
| X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( X2 = X1
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( aElementOf0(sk1_esk2_2(X2,X1),X1)
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_3,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_4,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(sk1_esk2_2(X2,X1),X1)
| aElementOf0(sk1_esk1_2(X2,X1),X2)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( aElementOf0(sdtpldt0(X2,X3),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( ~ aIdeal0(X1)
| aElementOf0(sdtpldt0(X2,X3),X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1)
| aElementOf0(sdtpldt0(X2,X3),X1)
| ~ aElementOf0(X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_3,axiom,
( ~ aElementOf0(X3,X1)
| ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1)
| aElementOf0(sdtpldt0(X2,X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( ~ aIdeal0(X1)
| aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aElementOf0(X2,X1)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_2,axiom,
( ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1)
| aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aElement0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_3,axiom,
( ~ aElement0(X3)
| ~ aElementOf0(X2,X1)
| ~ aIdeal0(X1)
| aElementOf0(sdtasdt0(X3,X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,axiom,
( aElementOf0(X4,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_1,axiom,
( ~ aSet0(X1)
| aElementOf0(X4,X2)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_3,axiom,
( X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X2)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_151_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_0,axiom,
( aElementOf0(X4,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_1,axiom,
( ~ aSet0(X1)
| aElementOf0(X4,X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X1)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_3,axiom,
( X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X1)
| ~ aElementOf0(X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_4,axiom,
( ~ aElementOf0(X4,X3)
| X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aElementOf0(X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_0,axiom,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_1,axiom,
( ~ aElement0(X2)
| aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_2,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sdtasdt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_1,axiom,
( ~ aElement0(X2)
| aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_2,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sdtpldt0(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_0,axiom,
( aIdeal0(X1)
| aElementOf0(sk1_esk10_1(X1),X1)
| aElement0(sk1_esk11_1(X1))
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_1,axiom,
( aElementOf0(sk1_esk10_1(X1),X1)
| aIdeal0(X1)
| aElement0(sk1_esk11_1(X1))
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_2,axiom,
( aElement0(sk1_esk11_1(X1))
| aElementOf0(sk1_esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_3,axiom,
( ~ aSet0(X1)
| aElement0(sk1_esk11_1(X1))
| aElementOf0(sk1_esk10_1(X1),X1)
| aIdeal0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_156_0,axiom,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_1,axiom,
( ~ aSet0(X1)
| aSet0(X3)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aSet0(X3)
| X3 != sdtasasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_156_3,axiom,
( X3 != sdtasasdt0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_156]) ).
cnf(c_0_157_0,axiom,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_1,axiom,
( ~ aSet0(X1)
| aSet0(X3)
| ~ aSet0(X2)
| X3 != sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( ~ aSet0(X2)
| ~ aSet0(X1)
| aSet0(X3)
| X3 != sdtpldt1(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_3,axiom,
( X3 != sdtpldt1(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| aSet0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_1,axiom,
( ~ aElement0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_2,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_1,axiom,
( ~ aElement0(X2)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_1,axiom,
( X2 = sz00
| X1 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_3,axiom,
( ~ aElement0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00
| ~ aElement0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_4,axiom,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != sz00
| X2 = sz00
| X1 = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_1,axiom,
( ~ aElementOf0(X1,X2)
| aElement0(X1)
| ~ aSet0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( ~ aSet0(X2)
| ~ aElementOf0(X1,X2)
| aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( aIdeal0(X1)
| aElementOf0(sk1_esk9_1(X1),X1)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( aElementOf0(sk1_esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( ~ aSet0(X1)
| aElementOf0(sk1_esk9_1(X1),X1)
| aIdeal0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( ~ aElement0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( sdtasdt0(X1,smndt0(sz10)) = smndt0(X1)
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( ~ aElement0(X1)
| sdtasdt0(X1,smndt0(sz10)) = smndt0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( ~ aElement0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( ~ aElement0(X1)
| sdtpldt0(smndt0(X1),X1) = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( ~ aElement0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( sdtasdt0(sz10,X1) = X1
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( ~ aElement0(X1)
| sdtasdt0(sz10,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_0,axiom,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_169_1,axiom,
( ~ aElement0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_169]) ).
cnf(c_0_170_0,axiom,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_170_1,axiom,
( ~ aElement0(X1)
| sdtpldt0(sz00,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_170]) ).
cnf(c_0_171_0,axiom,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_171_1,axiom,
( ~ aElement0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_171]) ).
cnf(c_0_172_0,axiom,
( sdtasdt0(sz00,X1) = sz00
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_172_1,axiom,
( ~ aElement0(X1)
| sdtasdt0(sz00,X1) = sz00 ),
inference(literals_permutation,[status(thm)],[c_0_172]) ).
cnf(c_0_173_0,axiom,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_173_1,axiom,
( ~ aElement0(X1)
| aElement0(smndt0(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_173]) ).
cnf(c_0_174_0,axiom,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_174_1,axiom,
( ~ aIdeal0(X1)
| aSet0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_174]) ).
cnf(c_0_177_0,axiom,
sz10 != sz00,
inference(literals_permutation,[status(thm)],[c_0_177]) ).
cnf(c_0_175_0,axiom,
aElement0(sz10),
inference(literals_permutation,[status(thm)],[c_0_175]) ).
cnf(c_0_176_0,axiom,
aElement0(sz00),
inference(literals_permutation,[status(thm)],[c_0_176]) ).
cnf(c_0_178_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_178]) ).
cnf(c_0_179_0,axiom,
$true,
inference(literals_permutation,[status(thm)],[c_0_179]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('<stdin>',m__) ).
fof(c_0_1_002,hypothesis,
( aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
file('<stdin>',m__901) ).
fof(c_0_2_003,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
file('<stdin>',m__967) ).
fof(c_0_3_004,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
file('<stdin>',m__934) ).
fof(c_0_4_005,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('<stdin>',m__870) ).
fof(c_0_5_006,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_6_007,hypothesis,
( aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
c_0_1 ).
fof(c_0_7_008,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
c_0_2 ).
fof(c_0_8_009,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
c_0_3 ).
fof(c_0_9_010,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
c_0_4 ).
fof(c_0_10_011,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_11_012,hypothesis,
( aElementOf0(xx,sdtpldt1(xI,xJ))
& aElementOf0(xy,sdtpldt1(xI,xJ))
& aElement0(xz) ),
c_0_6 ).
fof(c_0_12_013,hypothesis,
( aElementOf0(xm,xI)
& aElementOf0(xn,xJ)
& xy = sdtpldt0(xm,xn) ),
c_0_7 ).
fof(c_0_13_014,hypothesis,
( aElementOf0(xk,xI)
& aElementOf0(xl,xJ)
& xx = sdtpldt0(xk,xl) ),
c_0_8 ).
fof(c_0_14_015,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
c_0_9 ).
cnf(c_0_15_016,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_017,hypothesis,
aElementOf0(xx,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17_018,hypothesis,
aElementOf0(xy,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18_019,hypothesis,
aElementOf0(xm,xI),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19_020,hypothesis,
aElementOf0(xn,xJ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20_021,hypothesis,
xy = sdtpldt0(xm,xn),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21_022,hypothesis,
aElementOf0(xk,xI),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22_023,hypothesis,
aElementOf0(xl,xJ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23_024,hypothesis,
xx = sdtpldt0(xk,xl),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24_025,hypothesis,
aElement0(xz),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_25_026,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_26_027,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27_028,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
c_0_15,
[final] ).
cnf(c_0_28_029,hypothesis,
aElementOf0(xx,sdtpldt1(xI,xJ)),
c_0_16,
[final] ).
cnf(c_0_29_030,hypothesis,
aElementOf0(xy,sdtpldt1(xI,xJ)),
c_0_17,
[final] ).
cnf(c_0_30_031,hypothesis,
aElementOf0(xm,xI),
c_0_18,
[final] ).
cnf(c_0_31_032,hypothesis,
aElementOf0(xn,xJ),
c_0_19,
[final] ).
cnf(c_0_32_033,hypothesis,
sdtpldt0(xm,xn) = xy,
c_0_20,
[final] ).
cnf(c_0_33_034,hypothesis,
aElementOf0(xk,xI),
c_0_21,
[final] ).
cnf(c_0_34_035,hypothesis,
aElementOf0(xl,xJ),
c_0_22,
[final] ).
cnf(c_0_35_036,hypothesis,
sdtpldt0(xk,xl) = xx,
c_0_23,
[final] ).
cnf(c_0_36_037,hypothesis,
aElement0(xz),
c_0_24,
[final] ).
cnf(c_0_37_038,hypothesis,
aIdeal0(xI),
c_0_25,
[final] ).
cnf(c_0_38_039,hypothesis,
aIdeal0(xJ),
c_0_26,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_78,plain,
( aElementOf0(sdtpldt0(X0,X1),X2)
| ~ aIdeal0(X2)
| ~ aElementOf0(X0,X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_149_3) ).
cnf(c_392,plain,
( aElementOf0(sdtpldt0(X0,X1),X2)
| ~ aIdeal0(X2)
| ~ aElementOf0(X0,X2)
| ~ aElementOf0(X1,X2) ),
inference(copy,[status(esa)],[c_78]) ).
cnf(c_307689,plain,
( ~ aIdeal0(xJ)
| aElementOf0(sdtpldt0(xl,X0),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(X0,xJ) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_368248,plain,
( ~ aIdeal0(xJ)
| aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(xl,xJ)
| ~ aElementOf0(xn,xJ) ),
inference(instantiation,[status(thm)],[c_307689]) ).
cnf(c_307687,plain,
( ~ aIdeal0(xI)
| aElementOf0(sdtpldt0(xk,X0),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(X0,xI) ),
inference(instantiation,[status(thm)],[c_392]) ).
cnf(c_368242,plain,
( ~ aIdeal0(xI)
| aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aElementOf0(xk,xI)
| ~ aElementOf0(xm,xI) ),
inference(instantiation,[status(thm)],[c_307687]) ).
cnf(c_206,plain,
aElementOf0(xm,xI),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_30) ).
cnf(c_207,plain,
aElementOf0(xn,xJ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_31) ).
cnf(c_209,plain,
aElementOf0(xk,xI),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_33) ).
cnf(c_210,plain,
aElementOf0(xl,xJ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_34) ).
cnf(c_213,plain,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_37) ).
cnf(c_214,plain,
aIdeal0(xJ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_38) ).
cnf(c_203,negated_conjecture,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_f57416.p',c_0_27) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_368248,c_368242,c_206,c_207,c_209,c_210,c_213,c_214,c_203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : iprover_modulo %s %d
% 0.12/0.33 % Computer : n029.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 : Mon May 30 22:20:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.40 % FOF problem with conjecture
% 0.19/0.40 % 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/sandbox2/tmp/iprover_proof_cdd353.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_f57416.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0b0fd3 | grep -v "SZS"
% 0.19/0.42
% 0.19/0.42 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ iProver source info
% 0.19/0.42
% 0.19/0.42 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42 % git: non_committed_changes: true
% 0.19/0.42 % git: last_make_outside_of_git: true
% 0.19/0.42
% 0.19/0.42 %
% 0.19/0.42 % ------ Input Options
% 0.19/0.42
% 0.19/0.42 % --out_options all
% 0.19/0.42 % --tptp_safe_out true
% 0.19/0.42 % --problem_path ""
% 0.19/0.42 % --include_path ""
% 0.19/0.42 % --clausifier .//eprover
% 0.19/0.42 % --clausifier_options --tstp-format
% 0.19/0.42 % --stdin false
% 0.19/0.42 % --dbg_backtrace false
% 0.19/0.42 % --dbg_dump_prop_clauses false
% 0.19/0.42 % --dbg_dump_prop_clauses_file -
% 0.19/0.42 % --dbg_out_stat false
% 0.19/0.42
% 0.19/0.42 % ------ General Options
% 0.19/0.42
% 0.19/0.42 % --fof false
% 0.19/0.42 % --time_out_real 150.
% 0.19/0.42 % --time_out_prep_mult 0.2
% 0.19/0.42 % --time_out_virtual -1.
% 0.19/0.42 % --schedule none
% 0.19/0.42 % --ground_splitting input
% 0.19/0.42 % --splitting_nvd 16
% 0.19/0.42 % --non_eq_to_eq false
% 0.19/0.42 % --prep_gs_sim true
% 0.19/0.42 % --prep_unflatten false
% 0.19/0.42 % --prep_res_sim true
% 0.19/0.42 % --prep_upred true
% 0.19/0.42 % --res_sim_input true
% 0.19/0.42 % --clause_weak_htbl true
% 0.19/0.42 % --gc_record_bc_elim false
% 0.19/0.42 % --symbol_type_check false
% 0.19/0.42 % --clausify_out false
% 0.19/0.42 % --large_theory_mode false
% 0.19/0.42 % --prep_sem_filter none
% 0.19/0.42 % --prep_sem_filter_out false
% 0.19/0.42 % --preprocessed_out false
% 0.19/0.42 % --sub_typing false
% 0.19/0.42 % --brand_transform false
% 0.19/0.42 % --pure_diseq_elim true
% 0.19/0.42 % --min_unsat_core false
% 0.19/0.42 % --pred_elim true
% 0.19/0.42 % --add_important_lit false
% 0.19/0.42 % --soft_assumptions false
% 0.19/0.42 % --reset_solvers false
% 0.19/0.42 % --bc_imp_inh []
% 0.19/0.42 % --conj_cone_tolerance 1.5
% 0.19/0.42 % --prolific_symb_bound 500
% 0.19/0.42 % --lt_threshold 2000
% 0.19/0.42
% 0.19/0.42 % ------ SAT Options
% 0.19/0.42
% 0.19/0.42 % --sat_mode false
% 0.19/0.42 % --sat_fm_restart_options ""
% 0.19/0.42 % --sat_gr_def false
% 0.19/0.42 % --sat_epr_types true
% 0.19/0.42 % --sat_non_cyclic_types false
% 0.19/0.42 % --sat_finite_models false
% 0.19/0.42 % --sat_fm_lemmas false
% 0.19/0.42 % --sat_fm_prep false
% 0.19/0.42 % --sat_fm_uc_incr true
% 0.19/0.42 % --sat_out_model small
% 0.19/0.42 % --sat_out_clauses false
% 0.19/0.42
% 0.19/0.42 % ------ QBF Options
% 0.19/0.42
% 0.19/0.42 % --qbf_mode false
% 0.19/0.42 % --qbf_elim_univ true
% 0.19/0.42 % --qbf_sk_in true
% 0.19/0.42 % --qbf_pred_elim true
% 0.19/0.42 % --qbf_split 32
% 0.19/0.42
% 0.19/0.42 % ------ BMC1 Options
% 0.19/0.42
% 0.19/0.42 % --bmc1_incremental false
% 0.19/0.42 % --bmc1_axioms reachable_all
% 0.19/0.42 % --bmc1_min_bound 0
% 0.19/0.42 % --bmc1_max_bound -1
% 0.19/0.42 % --bmc1_max_bound_default -1
% 0.19/0.42 % --bmc1_symbol_reachability true
% 0.19/0.42 % --bmc1_property_lemmas false
% 0.19/0.42 % --bmc1_k_induction false
% 0.19/0.42 % --bmc1_non_equiv_states false
% 0.19/0.42 % --bmc1_deadlock false
% 0.19/0.42 % --bmc1_ucm false
% 0.19/0.42 % --bmc1_add_unsat_core none
% 0.19/0.42 % --bmc1_unsat_core_children false
% 0.19/0.42 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.42 % --bmc1_out_stat full
% 0.19/0.42 % --bmc1_ground_init false
% 0.19/0.42 % --bmc1_pre_inst_next_state false
% 0.19/0.42 % --bmc1_pre_inst_state false
% 0.19/0.42 % --bmc1_pre_inst_reach_state false
% 0.19/0.42 % --bmc1_out_unsat_core false
% 0.19/0.42 % --bmc1_aig_witness_out false
% 0.19/0.42 % --bmc1_verbose false
% 0.19/0.42 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 0.19/0.44 % --inst_prop_sim_new false
% 0.19/0.44 % --inst_orphan_elimination true
% 0.19/0.44 % --inst_learning_loop_flag true
% 0.19/0.44 % --inst_learning_start 3000
% 0.19/0.44 % --inst_learning_factor 2
% 0.19/0.44 % --inst_start_prop_sim_after_learn 3
% 0.19/0.44 % --inst_sel_renew solver
% 0.19/0.44 % --inst_lit_activity_flag true
% 0.19/0.44 % --inst_out_proof true
% 0.19/0.44
% 0.19/0.44 % ------ Resolution Options
% 0.19/0.44
% 0.19/0.44 % --resolution_flag true
% 0.19/0.44 % --res_lit_sel kbo_max
% 0.19/0.44 % --res_to_prop_solver none
% 0.19/0.44 % --res_prop_simpl_new false
% 0.19/0.44 % --res_prop_simpl_given false
% 0.19/0.44 % --res_passive_queue_type priority_queues
% 0.19/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44 % --res_passive_queues_freq [15;5]
% 0.19/0.44 % --res_forward_subs full
% 0.19/0.44 % --res_backward_subs full
% 0.19/0.44 % --res_forward_subs_resolution true
% 0.19/0.44 % --res_backward_subs_resolution true
% 0.19/0.44 % --res_orphan_elimination false
% 0.19/0.44 % --res_time_limit 1000.
% 0.19/0.44 % --res_out_proof true
% 0.19/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cdd353.s
% 0.19/0.44 % --modulo true
% 0.19/0.44
% 0.19/0.44 % ------ Combination Options
% 0.19/0.44
% 0.19/0.44 % --comb_res_mult 1000
% 0.19/0.44 % --comb_inst_mult 300
% 0.19/0.44 % ------
% 0.19/0.44
% 0.19/0.44 % ------ Parsing...% successful
% 0.19/0.44
% 0.19/0.44 % ------ 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 %
% 0.19/0.44
% 0.19/0.44 % ------ Proving...
% 0.19/0.44 % ------ Problem Properties
% 0.19/0.44
% 0.19/0.44 %
% 0.19/0.44 % EPR false
% 0.19/0.44 % Horn false
% 0.19/0.44 % Has equality true
% 0.19/0.44
% 0.19/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % % ------ Current options:
% 0.19/0.44
% 0.19/0.44 % ------ Input Options
% 0.19/0.44
% 0.19/0.44 % --out_options all
% 0.19/0.44 % --tptp_safe_out true
% 0.19/0.44 % --problem_path ""
% 0.19/0.44 % --include_path ""
% 0.19/0.44 % --clausifier .//eprover
% 0.19/0.44 % --clausifier_options --tstp-format
% 0.19/0.44 % --stdin false
% 0.19/0.44 % --dbg_backtrace false
% 0.19/0.44 % --dbg_dump_prop_clauses false
% 0.19/0.44 % --dbg_dump_prop_clauses_file -
% 0.19/0.44 % --dbg_out_stat false
% 0.19/0.44
% 0.19/0.44 % ------ General Options
% 0.19/0.44
% 0.19/0.44 % --fof false
% 0.19/0.44 % --time_out_real 150.
% 0.19/0.44 % --time_out_prep_mult 0.2
% 0.19/0.44 % --time_out_virtual -1.
% 0.19/0.44 % --schedule none
% 0.19/0.44 % --ground_splitting input
% 0.19/0.44 % --splitting_nvd 16
% 0.19/0.44 % --non_eq_to_eq false
% 0.19/0.44 % --prep_gs_sim true
% 0.19/0.44 % --prep_unflatten false
% 0.19/0.44 % --prep_res_sim true
% 0.19/0.44 % --prep_upred true
% 0.19/0.44 % --res_sim_input true
% 0.19/0.44 % --clause_weak_htbl true
% 0.19/0.44 % --gc_record_bc_elim false
% 0.19/0.44 % --symbol_type_check false
% 0.19/0.44 % --clausify_out false
% 0.19/0.44 % --large_theory_mode false
% 0.19/0.44 % --prep_sem_filter none
% 0.19/0.44 % --prep_sem_filter_out false
% 0.19/0.44 % --preprocessed_out false
% 0.19/0.44 % --sub_typing false
% 0.19/0.44 % --brand_transform false
% 0.19/0.44 % --pure_diseq_elim true
% 0.19/0.44 % --min_unsat_core false
% 0.19/0.44 % --pred_elim true
% 0.19/0.44 % --add_important_lit false
% 0.19/0.44 % --soft_assumptions false
% 0.19/0.44 % --reset_solvers false
% 0.19/0.44 % --bc_imp_inh []
% 0.19/0.44 % --conj_cone_tolerance 1.5
% 0.19/0.44 % --prolific_symb_bound 500
% 0.19/0.44 % --lt_threshold 2000
% 0.19/0.44
% 0.19/0.44 % ------ SAT Options
% 0.19/0.44
% 0.19/0.44 % --sat_mode false
% 0.19/0.44 % --sat_fm_restart_options ""
% 0.19/0.44 % --sat_gr_def false
% 0.19/0.44 % --sat_epr_types true
% 0.19/0.44 % --sat_non_cyclic_types false
% 0.19/0.44 % --sat_finite_models false
% 0.19/0.44 % --sat_fm_lemmas false
% 0.19/0.44 % --sat_fm_prep false
% 0.19/0.44 % --sat_fm_uc_incr true
% 0.19/0.44 % --sat_out_model small
% 0.19/0.44 % --sat_out_clauses false
% 0.19/0.44
% 0.19/0.44 % ------ QBF Options
% 0.19/0.44
% 0.19/0.44 % --qbf_mode false
% 0.19/0.44 % --qbf_elim_univ true
% 0.19/0.44 % --qbf_sk_in true
% 0.19/0.44 % --qbf_pred_elim true
% 0.19/0.44 % --qbf_split 32
% 0.19/0.44
% 0.19/0.44 % ------ BMC1 Options
% 0.19/0.44
% 0.19/0.44 % --bmc1_incremental false
% 0.19/0.44 % --bmc1_axioms reachable_all
% 0.19/0.44 % --bmc1_min_bound 0
% 0.19/0.44 % --bmc1_max_bound -1
% 0.19/0.44 % --bmc1_max_bound_default -1
% 0.19/0.44 % --bmc1_symbol_reachability true
% 0.19/0.44 % --bmc1_property_lemmas false
% 0.19/0.44 % --bmc1_k_induction false
% 0.19/0.44 % --bmc1_non_equiv_states false
% 0.19/0.44 % --bmc1_deadlock false
% 0.19/0.44 % --bmc1_ucm false
% 0.19/0.44 % --bmc1_add_unsat_core none
% 0.19/0.44 % --bmc1_unsat_core_children false
% 0.19/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.44 % --bmc1_out_stat full
% 0.19/0.44 % --bmc1_ground_init false
% 0.19/0.44 % --bmc1_pre_inst_next_state false
% 0.19/0.44 % --bmc1_pre_inst_state false
% 0.19/0.44 % --bmc1_pre_inst_reach_state false
% 0.19/0.44 % --bmc1_out_unsat_core false
% 0.19/0.44 % --bmc1_aig_witness_out false
% 0.19/0.44 % --bmc1_verbose false
% 0.19/0.44 % --bmc1_dump_clauses_tptp false
% 0.19/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.19/0.44 % --bmc1_dump_file -
% 0.19/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.19/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.19/0.44 % --bmc1_ucm_extend_mode 1
% 0.19/0.44 % --bmc1_ucm_init_mode 2
% 0.19/0.44 % --bmc1_ucm_cone_mode none
% 0.19/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.19/0.44 % --bmc1_ucm_relax_model 4
% 0.19/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.19/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.19/0.44 % --bmc1_ucm_layered_model none
% 0.19/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.19/0.44
% 0.19/0.44 % ------ AIG Options
% 0.19/0.44
% 0.19/0.44 % --aig_mode false
% 0.19/0.44
% 0.19/0.44 % ------ Instantiation Options
% 0.19/0.44
% 0.19/0.44 % --instantiation_flag true
% 0.19/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44 % --inst_solver_per_active 750
% 0.19/0.44 % --inst_solver_calls_frac 0.5
% 0.19/0.44 % --inst_passive_queue_type priority_queues
% 0.19/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44 % --inst_passive_queues_freq [25;2]
% 0.19/0.44 % --inst_dismatching true
% 0.19/0.44 % --inst_eager_unprocessed_to_passive true
% 0.19/0.44 % --inst_prop_sim_given true
% 150.22/150.42 % --inst_prop_sim_new false
% 150.22/150.42 % --inst_orphan_elimination true
% 150.22/150.42 % --inst_learning_loop_flag true
% 150.22/150.42 % --inst_learning_start 3000
% 150.22/150.42 % --inst_learning_factor 2
% 150.22/150.42 % --inst_start_prop_sim_after_learn 3
% 150.22/150.42 % --inst_sel_renew solver
% 150.22/150.42 % --inst_lit_activity_flag true
% 150.22/150.42 % --inst_out_proof true
% 150.22/150.42
% 150.22/150.42 % ------ Resolution Options
% 150.22/150.42
% 150.22/150.42 % --resolution_flag true
% 150.22/150.42 % --res_lit_sel kbo_max
% 150.22/150.42 % --res_to_prop_solver none
% 150.22/150.42 % --res_prop_simpl_new false
% 150.22/150.42 % --res_prop_simpl_given false
% 150.22/150.42 % --res_passive_queue_type priority_queues
% 150.22/150.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.22/150.42 % --res_passive_queues_freq [15;5]
% 150.22/150.42 % --res_forward_subs full
% 150.22/150.42 % --res_backward_subs full
% 150.22/150.42 % --res_forward_subs_resolution true
% 150.22/150.42 % --res_backward_subs_resolution true
% 150.22/150.42 % --res_orphan_elimination false
% 150.22/150.42 % --res_time_limit 1000.
% 150.22/150.42 % --res_out_proof true
% 150.22/150.42 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cdd353.s
% 150.22/150.42 % --modulo true
% 150.22/150.42
% 150.22/150.42 % ------ Combination Options
% 150.22/150.42
% 150.22/150.42 % --comb_res_mult 1000
% 150.22/150.42 % --comb_inst_mult 300
% 150.22/150.42 % ------
% 150.22/150.42
% 150.22/150.42
% 150.22/150.42
% 150.22/150.42 % ------ Proving...
% 150.22/150.42 %
% 150.22/150.42
% 150.22/150.42
% 150.22/150.42 % Time Out Real
% 150.22/150.42
% 150.22/150.42 % ------ Statistics
% 150.22/150.42
% 150.22/150.42 % ------ General
% 150.22/150.42
% 150.22/150.42 % num_of_input_clauses: 167
% 150.22/150.42 % num_of_input_neg_conjectures: 1
% 150.22/150.42 % num_of_splits: 0
% 150.22/150.42 % num_of_split_atoms: 0
% 150.22/150.42 % num_of_sem_filtered_clauses: 0
% 150.22/150.42 % num_of_subtypes: 0
% 150.22/150.42 % monotx_restored_types: 0
% 150.22/150.42 % sat_num_of_epr_types: 0
% 150.22/150.42 % sat_num_of_non_cyclic_types: 0
% 150.22/150.42 % sat_guarded_non_collapsed_types: 0
% 150.22/150.42 % is_epr: 0
% 150.22/150.42 % is_horn: 0
% 150.22/150.42 % has_eq: 1
% 150.22/150.42 % num_pure_diseq_elim: 0
% 150.22/150.42 % simp_replaced_by: 0
% 150.22/150.42 % res_preprocessed: 13
% 150.22/150.42 % prep_upred: 0
% 150.22/150.42 % prep_unflattend: 0
% 150.22/150.42 % pred_elim_cands: 2
% 150.22/150.42 % pred_elim: 2
% 150.22/150.42 % pred_elim_cl: 3
% 150.22/150.42 % pred_elim_cycles: 3
% 150.22/150.42 % forced_gc_time: 0
% 150.22/150.42 % gc_basic_clause_elim: 0
% 150.22/150.42 % parsing_time: 0.01
% 150.22/150.42 % sem_filter_time: 0.
% 150.22/150.42 % pred_elim_time: 0.
% 150.22/150.42 % out_proof_time: 0.
% 150.22/150.42 % monotx_time: 0.
% 150.22/150.42 % subtype_inf_time: 0.
% 150.22/150.42 % unif_index_cands_time: 0.042
% 150.22/150.42 % unif_index_add_time: 0.017
% 150.22/150.42 % total_time: 150.017
% 150.22/150.42 % num_of_symbols: 56
% 150.22/150.42 % num_of_terms: 57234
% 150.22/150.42
% 150.22/150.42 % ------ Propositional Solver
% 150.22/150.42
% 150.22/150.42 % prop_solver_calls: 13
% 150.22/150.42 % prop_fast_solver_calls: 28
% 150.22/150.42 % prop_num_of_clauses: 4433
% 150.22/150.42 % prop_preprocess_simplified: 4481
% 150.22/150.42 % prop_fo_subsumed: 0
% 150.22/150.42 % prop_solver_time: 0.
% 150.22/150.42 % prop_fast_solver_time: 0.
% 150.22/150.42 % prop_unsat_core_time: 0.
% 150.22/150.42
% 150.22/150.42 % ------ QBF
% 150.22/150.42
% 150.22/150.42 % qbf_q_res: 0
% 150.22/150.42 % qbf_num_tautologies: 0
% 150.22/150.42 % qbf_prep_cycles: 0
% 150.22/150.42
% 150.22/150.42 % ------ BMC1
% 150.22/150.42
% 150.22/150.42 % bmc1_current_bound: -1
% 150.22/150.42 % bmc1_last_solved_bound: -1
% 150.22/150.42 % bmc1_unsat_core_size: -1
% 150.22/150.42 % bmc1_unsat_core_parents_size: -1
% 150.22/150.42 % bmc1_merge_next_fun: 0
% 150.22/150.42 % bmc1_unsat_core_clauses_time: 0.
% 150.22/150.42
% 150.22/150.42 % ------ Instantiation
% 150.22/150.42
% 150.22/150.42 % inst_num_of_clauses: 4051
% 150.22/150.42 % inst_num_in_passive: 2713
% 150.22/150.42 % inst_num_in_active: 603
% 150.22/150.42 % inst_num_in_unprocessed: 735
% 150.22/150.42 % inst_num_of_loops: 1200
% 150.22/150.43 % inst_num_of_learning_restarts: 0
% 150.22/150.43 % inst_num_moves_active_passive: 590
% 150.22/150.43 % inst_lit_activity: 2649
% 150.22/150.43 % inst_lit_activity_moves: 1
% 150.22/150.43 % inst_num_tautologies: 0
% 150.22/150.43 % inst_num_prop_implied: 0
% 150.22/150.43 % inst_num_existing_simplified: 0
% 150.22/150.43 % inst_num_eq_res_simplified: 0
% 150.22/150.43 % inst_num_child_elim: 0
% 150.22/150.43 % inst_num_of_dismatching_blockings: 0
% 150.22/150.43 % inst_num_of_non_proper_insts: 2191
% 150.22/150.43 % inst_num_of_duplicates: 2700
% 150.22/150.43 % inst_inst_num_from_inst_to_res: 0
% 150.22/150.43 % inst_dismatching_checking_time: 0.021
% 150.22/150.43
% 150.22/150.43 % ------ Resolution
% 150.22/150.43
% 150.22/150.43 % res_num_of_clauses: 452371
% 150.22/150.43 % res_num_in_passive: 448160
% 150.22/150.43 % res_num_in_active: 3777
% 150.22/150.43 % res_num_of_loops: 4841
% 150.22/150.43 % res_forward_subset_subsumed: 45454
% 150.22/150.43 % res_backward_subset_subsumed: 118
% 150.22/150.43 % res_forward_subsumed: 740
% 150.22/150.43 % res_backward_subsumed: 6
% 150.22/150.43 % res_forward_subsumption_resolution: 2203
% 150.22/150.43 % res_backward_subsumption_resolution: 0
% 150.22/150.43 % res_clause_to_clause_subsumption: 733197
% 150.22/150.43 % res_orphan_elimination: 0
% 150.22/150.43 % res_tautology_del: 32472
% 150.22/150.43 % res_num_eq_res_simplified: 0
% 150.22/150.43 % res_num_sel_changes: 0
% 150.22/150.43 % res_moves_from_active_to_pass: 0
% 150.22/150.43
% 150.22/150.43 % Status Unknown
% 150.27/150.47 % Orienting using strategy ClausalAll
% 150.27/150.47 % FOF problem with conjecture
% 150.27/150.48 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cdd353.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_f57416.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ec4cec | grep -v "SZS"
% 150.27/150.50
% 150.27/150.50 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.27/150.50
% 150.27/150.50 %
% 150.27/150.50 % ------ iProver source info
% 150.27/150.50
% 150.27/150.50 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.27/150.50 % git: non_committed_changes: true
% 150.27/150.50 % git: last_make_outside_of_git: true
% 150.27/150.50
% 150.27/150.50 %
% 150.27/150.50 % ------ Input Options
% 150.27/150.50
% 150.27/150.50 % --out_options all
% 150.27/150.50 % --tptp_safe_out true
% 150.27/150.50 % --problem_path ""
% 150.27/150.50 % --include_path ""
% 150.27/150.50 % --clausifier .//eprover
% 150.27/150.50 % --clausifier_options --tstp-format
% 150.27/150.50 % --stdin false
% 150.27/150.50 % --dbg_backtrace false
% 150.27/150.50 % --dbg_dump_prop_clauses false
% 150.27/150.50 % --dbg_dump_prop_clauses_file -
% 150.27/150.50 % --dbg_out_stat false
% 150.27/150.50
% 150.27/150.50 % ------ General Options
% 150.27/150.50
% 150.27/150.50 % --fof false
% 150.27/150.50 % --time_out_real 150.
% 150.27/150.50 % --time_out_prep_mult 0.2
% 150.27/150.50 % --time_out_virtual -1.
% 150.27/150.50 % --schedule none
% 150.27/150.50 % --ground_splitting input
% 150.27/150.50 % --splitting_nvd 16
% 150.27/150.50 % --non_eq_to_eq false
% 150.27/150.50 % --prep_gs_sim true
% 150.27/150.50 % --prep_unflatten false
% 150.27/150.50 % --prep_res_sim true
% 150.27/150.50 % --prep_upred true
% 150.27/150.50 % --res_sim_input true
% 150.27/150.50 % --clause_weak_htbl true
% 150.27/150.50 % --gc_record_bc_elim false
% 150.27/150.50 % --symbol_type_check false
% 150.27/150.50 % --clausify_out false
% 150.27/150.50 % --large_theory_mode false
% 150.27/150.50 % --prep_sem_filter none
% 150.27/150.50 % --prep_sem_filter_out false
% 150.27/150.50 % --preprocessed_out false
% 150.27/150.50 % --sub_typing false
% 150.27/150.50 % --brand_transform false
% 150.27/150.50 % --pure_diseq_elim true
% 150.27/150.50 % --min_unsat_core false
% 150.27/150.50 % --pred_elim true
% 150.27/150.50 % --add_important_lit false
% 150.27/150.50 % --soft_assumptions false
% 150.27/150.50 % --reset_solvers false
% 150.27/150.50 % --bc_imp_inh []
% 150.27/150.50 % --conj_cone_tolerance 1.5
% 150.27/150.50 % --prolific_symb_bound 500
% 150.27/150.50 % --lt_threshold 2000
% 150.27/150.50
% 150.27/150.50 % ------ SAT Options
% 150.27/150.50
% 150.27/150.50 % --sat_mode false
% 150.27/150.50 % --sat_fm_restart_options ""
% 150.27/150.50 % --sat_gr_def false
% 150.27/150.50 % --sat_epr_types true
% 150.27/150.50 % --sat_non_cyclic_types false
% 150.27/150.50 % --sat_finite_models false
% 150.27/150.50 % --sat_fm_lemmas false
% 150.27/150.50 % --sat_fm_prep false
% 150.27/150.50 % --sat_fm_uc_incr true
% 150.27/150.50 % --sat_out_model small
% 150.27/150.50 % --sat_out_clauses false
% 150.27/150.50
% 150.27/150.50 % ------ QBF Options
% 150.27/150.50
% 150.27/150.50 % --qbf_mode false
% 150.27/150.50 % --qbf_elim_univ true
% 150.27/150.50 % --qbf_sk_in true
% 150.27/150.50 % --qbf_pred_elim true
% 150.27/150.50 % --qbf_split 32
% 150.27/150.50
% 150.27/150.50 % ------ BMC1 Options
% 150.27/150.50
% 150.27/150.50 % --bmc1_incremental false
% 150.27/150.50 % --bmc1_axioms reachable_all
% 150.27/150.50 % --bmc1_min_bound 0
% 150.27/150.50 % --bmc1_max_bound -1
% 150.27/150.50 % --bmc1_max_bound_default -1
% 150.27/150.50 % --bmc1_symbol_reachability true
% 150.27/150.50 % --bmc1_property_lemmas false
% 150.27/150.50 % --bmc1_k_induction false
% 150.27/150.50 % --bmc1_non_equiv_states false
% 150.27/150.50 % --bmc1_deadlock false
% 150.27/150.50 % --bmc1_ucm false
% 150.27/150.50 % --bmc1_add_unsat_core none
% 150.27/150.50 % --bmc1_unsat_core_children false
% 150.27/150.50 % --bmc1_unsat_core_extrapolate_axioms false
% 150.27/150.50 % --bmc1_out_stat full
% 150.27/150.50 % --bmc1_ground_init false
% 150.27/150.50 % --bmc1_pre_inst_next_state false
% 150.27/150.50 % --bmc1_pre_inst_state false
% 150.27/150.50 % --bmc1_pre_inst_reach_state false
% 150.27/150.50 % --bmc1_out_unsat_core false
% 150.27/150.50 % --bmc1_aig_witness_out false
% 150.27/150.50 % --bmc1_verbose false
% 150.27/150.50 % --bmc1_dump_clauses_tptp false
% 150.27/150.53 % --bmc1_dump_unsat_core_tptp false
% 150.27/150.53 % --bmc1_dump_file -
% 150.27/150.53 % --bmc1_ucm_expand_uc_limit 128
% 150.27/150.53 % --bmc1_ucm_n_expand_iterations 6
% 150.27/150.53 % --bmc1_ucm_extend_mode 1
% 150.27/150.53 % --bmc1_ucm_init_mode 2
% 150.27/150.53 % --bmc1_ucm_cone_mode none
% 150.27/150.53 % --bmc1_ucm_reduced_relation_type 0
% 150.27/150.53 % --bmc1_ucm_relax_model 4
% 150.27/150.53 % --bmc1_ucm_full_tr_after_sat true
% 150.27/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 150.27/150.53 % --bmc1_ucm_layered_model none
% 150.27/150.53 % --bmc1_ucm_max_lemma_size 10
% 150.27/150.53
% 150.27/150.53 % ------ AIG Options
% 150.27/150.53
% 150.27/150.53 % --aig_mode false
% 150.27/150.53
% 150.27/150.53 % ------ Instantiation Options
% 150.27/150.53
% 150.27/150.53 % --instantiation_flag true
% 150.27/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.27/150.53 % --inst_solver_per_active 750
% 150.27/150.53 % --inst_solver_calls_frac 0.5
% 150.27/150.53 % --inst_passive_queue_type priority_queues
% 150.27/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.27/150.53 % --inst_passive_queues_freq [25;2]
% 150.27/150.53 % --inst_dismatching true
% 150.27/150.53 % --inst_eager_unprocessed_to_passive true
% 150.27/150.53 % --inst_prop_sim_given true
% 150.27/150.53 % --inst_prop_sim_new false
% 150.27/150.53 % --inst_orphan_elimination true
% 150.27/150.53 % --inst_learning_loop_flag true
% 150.27/150.53 % --inst_learning_start 3000
% 150.27/150.53 % --inst_learning_factor 2
% 150.27/150.53 % --inst_start_prop_sim_after_learn 3
% 150.27/150.53 % --inst_sel_renew solver
% 150.27/150.53 % --inst_lit_activity_flag true
% 150.27/150.53 % --inst_out_proof true
% 150.27/150.53
% 150.27/150.53 % ------ Resolution Options
% 150.27/150.53
% 150.27/150.53 % --resolution_flag true
% 150.27/150.53 % --res_lit_sel kbo_max
% 150.27/150.53 % --res_to_prop_solver none
% 150.27/150.53 % --res_prop_simpl_new false
% 150.27/150.53 % --res_prop_simpl_given false
% 150.27/150.53 % --res_passive_queue_type priority_queues
% 150.27/150.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.27/150.53 % --res_passive_queues_freq [15;5]
% 150.27/150.53 % --res_forward_subs full
% 150.27/150.53 % --res_backward_subs full
% 150.27/150.53 % --res_forward_subs_resolution true
% 150.27/150.53 % --res_backward_subs_resolution true
% 150.27/150.53 % --res_orphan_elimination false
% 150.27/150.53 % --res_time_limit 1000.
% 150.27/150.53 % --res_out_proof true
% 150.27/150.53 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cdd353.s
% 150.27/150.53 % --modulo true
% 150.27/150.53
% 150.27/150.53 % ------ Combination Options
% 150.27/150.53
% 150.27/150.53 % --comb_res_mult 1000
% 150.27/150.53 % --comb_inst_mult 300
% 150.27/150.53 % ------
% 150.27/150.53
% 150.27/150.53 % ------ Parsing...% successful
% 150.27/150.53
% 150.27/150.53 % ------ 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 %
% 150.27/150.53
% 150.27/150.53 % ------ Proving...
% 150.27/150.53 % ------ Problem Properties
% 150.27/150.53
% 150.27/150.53 %
% 150.27/150.53 % EPR false
% 150.27/150.53 % Horn false
% 150.27/150.53 % Has equality true
% 150.27/150.53
% 150.27/150.53 % % ------ Input Options Time Limit: Unbounded
% 150.27/150.53
% 150.27/150.53
% 150.27/150.53 % % ------ Current options:
% 150.27/150.53
% 150.27/150.53 % ------ Input Options
% 150.27/150.53
% 150.27/150.53 % --out_options all
% 150.27/150.53 % --tptp_safe_out true
% 150.27/150.53 % --problem_path ""
% 150.27/150.53 % --include_path ""
% 150.27/150.53 % --clausifier .//eprover
% 150.27/150.53 % --clausifier_options --tstp-format
% 150.27/150.53 % --stdin false
% 150.27/150.53 % --dbg_backtrace false
% 150.27/150.53 % --dbg_dump_prop_clauses false
% 150.27/150.53 % --dbg_dump_prop_clauses_file -
% 150.27/150.53 % --dbg_out_stat false
% 150.27/150.53
% 150.27/150.53 % ------ General Options
% 150.27/150.53
% 150.27/150.53 % --fof false
% 150.27/150.53 % --time_out_real 150.
% 150.27/150.53 % --time_out_prep_mult 0.2
% 150.27/150.53 % --time_out_virtual -1.
% 150.27/150.53 % --schedule none
% 150.27/150.53 % --ground_splitting input
% 150.27/150.53 % --splitting_nvd 16
% 150.27/150.53 % --non_eq_to_eq false
% 150.27/150.53 % --prep_gs_sim true
% 150.27/150.53 % --prep_unflatten false
% 150.27/150.53 % --prep_res_sim true
% 150.27/150.53 % --prep_upred true
% 150.27/150.53 % --res_sim_input true
% 150.27/150.53 % --clause_weak_htbl true
% 150.27/150.53 % --gc_record_bc_elim false
% 150.27/150.53 % --symbol_type_check false
% 150.27/150.53 % --clausify_out false
% 150.27/150.53 % --large_theory_mode false
% 150.27/150.53 % --prep_sem_filter none
% 150.27/150.53 % --prep_sem_filter_out false
% 150.27/150.53 % --preprocessed_out false
% 150.27/150.53 % --sub_typing false
% 150.27/150.53 % --brand_transform false
% 150.27/150.53 % --pure_diseq_elim true
% 150.27/150.53 % --min_unsat_core false
% 150.27/150.53 % --pred_elim true
% 150.27/150.53 % --add_important_lit false
% 150.27/150.53 % --soft_assumptions false
% 150.27/150.53 % --reset_solvers false
% 150.27/150.53 % --bc_imp_inh []
% 150.27/150.53 % --conj_cone_tolerance 1.5
% 150.27/150.53 % --prolific_symb_bound 500
% 150.27/150.53 % --lt_threshold 2000
% 150.27/150.53
% 150.27/150.53 % ------ SAT Options
% 150.27/150.53
% 150.27/150.53 % --sat_mode false
% 150.27/150.53 % --sat_fm_restart_options ""
% 150.27/150.53 % --sat_gr_def false
% 150.27/150.53 % --sat_epr_types true
% 150.27/150.53 % --sat_non_cyclic_types false
% 150.27/150.53 % --sat_finite_models false
% 150.27/150.53 % --sat_fm_lemmas false
% 150.27/150.53 % --sat_fm_prep false
% 150.27/150.53 % --sat_fm_uc_incr true
% 150.27/150.53 % --sat_out_model small
% 150.27/150.53 % --sat_out_clauses false
% 150.27/150.53
% 150.27/150.53 % ------ QBF Options
% 150.27/150.53
% 150.27/150.53 % --qbf_mode false
% 150.27/150.53 % --qbf_elim_univ true
% 150.27/150.53 % --qbf_sk_in true
% 150.27/150.53 % --qbf_pred_elim true
% 150.27/150.53 % --qbf_split 32
% 150.27/150.53
% 150.27/150.53 % ------ BMC1 Options
% 150.27/150.53
% 150.27/150.53 % --bmc1_incremental false
% 150.27/150.53 % --bmc1_axioms reachable_all
% 150.27/150.53 % --bmc1_min_bound 0
% 150.27/150.53 % --bmc1_max_bound -1
% 150.27/150.53 % --bmc1_max_bound_default -1
% 150.27/150.53 % --bmc1_symbol_reachability true
% 150.27/150.53 % --bmc1_property_lemmas false
% 150.27/150.53 % --bmc1_k_induction false
% 150.27/150.53 % --bmc1_non_equiv_states false
% 150.27/150.53 % --bmc1_deadlock false
% 150.27/150.53 % --bmc1_ucm false
% 150.27/150.53 % --bmc1_add_unsat_core none
% 150.27/150.53 % --bmc1_unsat_core_children false
% 150.27/150.53 % --bmc1_unsat_core_extrapolate_axioms false
% 150.27/150.53 % --bmc1_out_stat full
% 150.27/150.53 % --bmc1_ground_init false
% 150.27/150.53 % --bmc1_pre_inst_next_state false
% 150.27/150.53 % --bmc1_pre_inst_state false
% 150.27/150.53 % --bmc1_pre_inst_reach_state false
% 150.27/150.53 % --bmc1_out_unsat_core false
% 150.27/150.53 % --bmc1_aig_witness_out false
% 150.27/150.53 % --bmc1_verbose false
% 150.27/150.53 % --bmc1_dump_clauses_tptp false
% 150.27/150.53 % --bmc1_dump_unsat_core_tptp false
% 150.27/150.53 % --bmc1_dump_file -
% 150.27/150.53 % --bmc1_ucm_expand_uc_limit 128
% 150.27/150.53 % --bmc1_ucm_n_expand_iterations 6
% 150.27/150.53 % --bmc1_ucm_extend_mode 1
% 150.27/150.53 % --bmc1_ucm_init_mode 2
% 150.27/150.53 % --bmc1_ucm_cone_mode none
% 150.27/150.53 % --bmc1_ucm_reduced_relation_type 0
% 150.27/150.53 % --bmc1_ucm_relax_model 4
% 150.27/150.53 % --bmc1_ucm_full_tr_after_sat true
% 150.27/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 150.27/150.53 % --bmc1_ucm_layered_model none
% 150.27/150.53 % --bmc1_ucm_max_lemma_size 10
% 150.27/150.53
% 150.27/150.53 % ------ AIG Options
% 150.27/150.53
% 150.27/150.53 % --aig_mode false
% 150.27/150.53
% 150.27/150.53 % ------ Instantiation Options
% 150.27/150.53
% 150.27/150.53 % --instantiation_flag true
% 150.27/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.27/150.53 % --inst_solver_per_active 750
% 150.27/150.53 % --inst_solver_calls_frac 0.5
% 150.27/150.53 % --inst_passive_queue_type priority_queues
% 150.27/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.27/150.53 % --inst_passive_queues_freq [25;2]
% 150.27/150.53 % --inst_dismatching true
% 150.27/150.53 % --inst_eager_unprocessed_to_passive true
% 150.27/150.53 % --inst_prop_sim_given true
% 174.80/175.03 % --inst_prop_sim_new false
% 174.80/175.03 % --inst_orphan_elimination true
% 174.80/175.03 % --inst_learning_loop_flag true
% 174.80/175.03 % --inst_learning_start 3000
% 174.80/175.03 % --inst_learning_factor 2
% 174.80/175.03 % --inst_start_prop_sim_after_learn 3
% 174.80/175.03 % --inst_sel_renew solver
% 174.80/175.03 % --inst_lit_activity_flag true
% 174.80/175.03 % --inst_out_proof true
% 174.80/175.03
% 174.80/175.03 % ------ Resolution Options
% 174.80/175.03
% 174.80/175.03 % --resolution_flag true
% 174.80/175.03 % --res_lit_sel kbo_max
% 174.80/175.03 % --res_to_prop_solver none
% 174.80/175.03 % --res_prop_simpl_new false
% 174.80/175.03 % --res_prop_simpl_given false
% 174.80/175.03 % --res_passive_queue_type priority_queues
% 174.80/175.03 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 174.80/175.03 % --res_passive_queues_freq [15;5]
% 174.80/175.03 % --res_forward_subs full
% 174.80/175.03 % --res_backward_subs full
% 174.80/175.03 % --res_forward_subs_resolution true
% 174.80/175.03 % --res_backward_subs_resolution true
% 174.80/175.03 % --res_orphan_elimination false
% 174.80/175.03 % --res_time_limit 1000.
% 174.80/175.03 % --res_out_proof true
% 174.80/175.03 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_cdd353.s
% 174.80/175.03 % --modulo true
% 174.80/175.03
% 174.80/175.03 % ------ Combination Options
% 174.80/175.03
% 174.80/175.03 % --comb_res_mult 1000
% 174.80/175.03 % --comb_inst_mult 300
% 174.80/175.03 % ------
% 174.80/175.03
% 174.80/175.03
% 174.80/175.03
% 174.80/175.03 % ------ Proving...
% 174.80/175.03 %
% 174.80/175.03
% 174.80/175.03
% 174.80/175.03 % ------ Statistics
% 174.80/175.03
% 174.80/175.03 % ------ General
% 174.80/175.03
% 174.80/175.03 % num_of_input_clauses: 215
% 174.80/175.03 % num_of_input_neg_conjectures: 1
% 174.80/175.03 % num_of_splits: 0
% 174.80/175.03 % num_of_split_atoms: 0
% 174.80/175.03 % num_of_sem_filtered_clauses: 0
% 174.80/175.03 % num_of_subtypes: 0
% 174.80/175.03 % monotx_restored_types: 0
% 174.80/175.03 % sat_num_of_epr_types: 0
% 174.80/175.03 % sat_num_of_non_cyclic_types: 0
% 174.80/175.03 % sat_guarded_non_collapsed_types: 0
% 174.80/175.03 % is_epr: 0
% 174.80/175.03 % is_horn: 0
% 174.80/175.03 % has_eq: 1
% 174.80/175.03 % num_pure_diseq_elim: 0
% 174.80/175.03 % simp_replaced_by: 0
% 174.80/175.03 % res_preprocessed: 13
% 174.80/175.03 % prep_upred: 0
% 174.80/175.03 % prep_unflattend: 0
% 174.80/175.03 % pred_elim_cands: 2
% 174.80/175.03 % pred_elim: 2
% 174.80/175.03 % pred_elim_cl: 3
% 174.80/175.03 % pred_elim_cycles: 3
% 174.80/175.03 % forced_gc_time: 0
% 174.80/175.03 % gc_basic_clause_elim: 0
% 174.80/175.03 % parsing_time: 0.011
% 174.80/175.03 % sem_filter_time: 0.
% 174.80/175.03 % pred_elim_time: 0.
% 174.80/175.03 % out_proof_time: 0.001
% 174.80/175.03 % monotx_time: 0.
% 174.80/175.03 % subtype_inf_time: 0.
% 174.80/175.03 % unif_index_cands_time: 0.154
% 174.80/175.03 % unif_index_add_time: 0.029
% 174.80/175.03 % total_time: 24.548
% 174.80/175.03 % num_of_symbols: 56
% 174.80/175.03 % num_of_terms: 402282
% 174.80/175.03
% 174.80/175.03 % ------ Propositional Solver
% 174.80/175.03
% 174.80/175.03 % prop_solver_calls: 15
% 174.80/175.03 % prop_fast_solver_calls: 28
% 174.80/175.03 % prop_num_of_clauses: 9928
% 174.80/175.03 % prop_preprocess_simplified: 11952
% 174.80/175.03 % prop_fo_subsumed: 0
% 174.80/175.03 % prop_solver_time: 0.002
% 174.80/175.03 % prop_fast_solver_time: 0.
% 174.80/175.03 % prop_unsat_core_time: 0.001
% 174.80/175.03
% 174.80/175.03 % ------ QBF
% 174.80/175.03
% 174.80/175.03 % qbf_q_res: 0
% 174.80/175.03 % qbf_num_tautologies: 0
% 174.80/175.03 % qbf_prep_cycles: 0
% 174.80/175.03
% 174.80/175.03 % ------ BMC1
% 174.80/175.03
% 174.80/175.03 % bmc1_current_bound: -1
% 174.80/175.03 % bmc1_last_solved_bound: -1
% 174.80/175.03 % bmc1_unsat_core_size: -1
% 174.80/175.03 % bmc1_unsat_core_parents_size: -1
% 174.80/175.03 % bmc1_merge_next_fun: 0
% 174.80/175.03 % bmc1_unsat_core_clauses_time: 0.
% 174.80/175.03
% 174.80/175.03 % ------ Instantiation
% 174.80/175.03
% 174.80/175.03 % inst_num_of_clauses: 9106
% 174.80/175.03 % inst_num_in_passive: 4769
% 174.80/175.03 % inst_num_in_active: 1281
% 174.80/175.03 % inst_num_in_unprocessed: 3055
% 174.80/175.03 % inst_num_of_loops: 1961
% 174.80/175.03 % inst_num_of_learning_restarts: 0
% 174.80/175.03 % inst_num_moves_active_passive: 672
% 174.80/175.03 % inst_lit_activity: 6731
% 174.80/175.03 % inst_lit_activity_moves: 1
% 174.80/175.03 % inst_num_tautologies: 0
% 174.80/175.03 % inst_num_prop_implied: 0
% 174.80/175.03 % inst_num_existing_simplified: 0
% 174.80/175.03 % inst_num_eq_res_simplified: 0
% 174.80/175.03 % inst_num_child_elim: 0
% 174.80/175.03 % inst_num_of_dismatching_blockings: 0
% 174.80/175.03 % inst_num_of_non_proper_insts: 4866
% 174.80/175.03 % inst_num_of_duplicates: 6357
% 174.80/175.03 % inst_inst_num_from_inst_to_res: 0
% 174.80/175.03 % inst_dismatching_checking_time: 0.086
% 174.80/175.03
% 174.80/175.03 % ------ Resolution
% 174.80/175.03
% 174.80/175.03 % res_num_of_clauses: 117715
% 174.80/175.03 % res_num_in_passive: 111089
% 174.80/175.03 % res_num_in_active: 6456
% 174.80/175.03 % res_num_of_loops: 7000
% 174.80/175.03 % res_forward_subset_subsumed: 26941
% 174.80/175.03 % res_backward_subset_subsumed: 0
% 174.80/175.03 % res_forward_subsumed: 652
% 174.80/175.03 % res_backward_subsumed: 0
% 174.80/175.03 % res_forward_subsumption_resolution: 1328
% 174.80/175.03 % res_backward_subsumption_resolution: 0
% 174.80/175.03 % res_clause_to_clause_subsumption: 272003
% 174.80/175.03 % res_orphan_elimination: 0
% 174.80/175.03 % res_tautology_del: 0
% 174.80/175.03 % res_num_eq_res_simplified: 0
% 174.80/175.03 % res_num_sel_changes: 0
% 174.80/175.03 % res_moves_from_active_to_pass: 0
% 174.80/175.03
% 174.80/175.03 % Status Unsatisfiable
% 174.80/175.03 % SZS status Theorem
% 174.80/175.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------