TSTP Solution File: RNG097+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG097+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:26:54 EDT 2022
% Result : Theorem 0.22s 2.41s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 21
% Syntax : Number of formulae : 184 ( 80 unt; 0 def)
% Number of atoms : 386 ( 144 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 349 ( 147 ~; 142 |; 39 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 136 ( 1 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddInvr) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsU) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(m__1205,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1205) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(m__1294,hypothesis,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1294) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC_01) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAMDistr) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulUnit) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulAsso) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulMnOne) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
fof(m__1319,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1319) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulZero) ).
fof(m__1217,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1217) ).
fof(m__,conjecture,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(c_0_21,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)],[mAddZero])])]) ).
fof(c_0_22,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)],[mAddInvr])])]) ).
cnf(c_0_23,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_26,plain,
! [X2] :
( ~ aElement0(X2)
| aElement0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(c_0_27,plain,
( smndt0(sz00) = sz00
| ~ aElement0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
fof(c_0_30,hypothesis,
! [X3,X4,X5,X6,X7,X8] :
( aSet0(xI)
& ( ~ aElementOf0(X4,xI)
| aElementOf0(sdtpldt0(X3,X4),xI)
| ~ aElementOf0(X3,xI) )
& ( ~ aElement0(X5)
| aElementOf0(sdtasdt0(X5,X3),xI)
| ~ aElementOf0(X3,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ( ~ aElementOf0(X7,xJ)
| aElementOf0(sdtpldt0(X6,X7),xJ)
| ~ aElementOf0(X6,xJ) )
& ( ~ aElement0(X8)
| aElementOf0(sdtasdt0(X8,X6),xJ)
| ~ aElementOf0(X6,xJ) )
& aIdeal0(xJ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205])])])])])]) ).
fof(c_0_31,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)],[mAddAsso])]) ).
cnf(c_0_32,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_25])]) ).
cnf(c_0_33,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,hypothesis,
aElementOf0(xb,xJ),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_35,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xa,xI),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_37,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_25])]) ).
fof(c_0_40,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_41,hypothesis,
sdtpldt0(xa,xb) = sz10,
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_42,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_43,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_37])]) ).
cnf(c_0_44,plain,
( sdtpldt0(sz00,sdtpldt0(sz00,X1)) = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_25])]) ).
cnf(c_0_45,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,hypothesis,
( sdtpldt0(sz10,X1) = sdtpldt0(xa,sdtpldt0(xb,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_41]),c_0_42]),c_0_43])]) ).
cnf(c_0_47,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_48,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_49,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_28]) ).
fof(c_0_50,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)],[mAMDistr])])]) ).
cnf(c_0_51,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52,plain,
( sdtpldt0(sz00,sdtpldt0(X1,sz00)) = sdtpldt0(X1,sz00)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_25])]) ).
cnf(c_0_53,hypothesis,
sdtpldt0(xa,sdtpldt0(xb,sz00)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_46]),c_0_47]),c_0_25])]) ).
cnf(c_0_54,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,hypothesis,
sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_41]),c_0_42]),c_0_43])]) ).
fof(c_0_56,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)],[mMulUnit])])]) ).
cnf(c_0_57,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_50]) ).
cnf(c_0_58,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_51]),c_0_28]) ).
cnf(c_0_59,hypothesis,
sdtpldt0(sz00,sz10) = sz10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_47]),c_0_25])]),c_0_53]),c_0_53]) ).
cnf(c_0_60,hypothesis,
( aElement0(sdtpldt0(sz00,xb))
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_47])]) ).
cnf(c_0_61,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,hypothesis,
( sdtasdt0(X1,sz10) = sdtpldt0(sdtasdt0(X1,xa),sdtasdt0(X1,xb))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_43]),c_0_42])]) ).
cnf(c_0_63,hypothesis,
sdtpldt0(xa,sdtpldt0(sz00,xb)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_59]),c_0_47]),c_0_43])]) ).
cnf(c_0_64,hypothesis,
aElement0(sdtpldt0(sz00,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_28]),c_0_43])]) ).
cnf(c_0_65,hypothesis,
sdtpldt0(sdtasdt0(sz10,xa),sdtasdt0(sz10,xb)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_47])]) ).
cnf(c_0_66,hypothesis,
sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_55]),c_0_64]),c_0_43])]) ).
cnf(c_0_67,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_68,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_54]) ).
cnf(c_0_69,hypothesis,
sdtpldt0(xa,sdtasdt0(sz10,xb)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61]),c_0_43])]) ).
cnf(c_0_70,hypothesis,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_42])]) ).
cnf(c_0_71,plain,
( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_38]),c_0_25])]),c_0_54]) ).
cnf(c_0_72,hypothesis,
sdtpldt0(xb,sdtpldt0(xa,sz00)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_63]),c_0_42]),c_0_25]),c_0_43])]) ).
cnf(c_0_73,hypothesis,
( sdtpldt0(sz00,sdtasdt0(sz10,xb)) = xb
| ~ aElement0(sdtasdt0(sz10,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_69]),c_0_55]),c_0_70]),c_0_43])]) ).
fof(c_0_74,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_75,hypothesis,
sdtpldt0(xb,xa) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_43]),c_0_42])]) ).
fof(c_0_76,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)],[mMulAsso])]) ).
fof(c_0_77,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)],[mMulMnOne])])]) ).
fof(c_0_78,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_79,hypothesis,
( sdtasdt0(sz10,xb) = xb
| ~ aElement0(sdtasdt0(sz10,xb)) ),
inference(spm,[status(thm)],[c_0_67,c_0_73]) ).
cnf(c_0_80,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_81,hypothesis,
sdtpldt0(smndt0(xb),sz10) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_75]),c_0_43]),c_0_42])]) ).
cnf(c_0_82,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,hypothesis,
sdtasdt0(sz10,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_42]),c_0_47])]) ).
cnf(c_0_86,hypothesis,
( aElement0(sdtpldt0(sz00,xa))
| ~ aElement0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_81]),c_0_47])]) ).
cnf(c_0_87,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_88,hypothesis,
sdtasdt0(xb,sz10) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_42]),c_0_47])]) ).
cnf(c_0_89,hypothesis,
aElement0(sdtpldt0(sz00,xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_28]),c_0_42])]) ).
cnf(c_0_90,hypothesis,
( sdtasdt0(smndt0(sz10),xb) = sdtasdt0(smndt0(xb),sz10)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_47]),c_0_42])]) ).
cnf(c_0_91,hypothesis,
aElement0(sdtpldt0(xa,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_45]),c_0_43]),c_0_25])]) ).
cnf(c_0_92,hypothesis,
( sdtasdt0(smndt0(xb),sz10) = smndt0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_90]),c_0_42])]) ).
cnf(c_0_93,hypothesis,
sdtpldt0(sz00,sdtpldt0(xa,sz00)) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_72]),c_0_42])]),c_0_81]),c_0_91])]) ).
cnf(c_0_94,hypothesis,
( sdtasdt0(xb,smndt0(sz10)) = sdtasdt0(smndt0(xb),sz10)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_90]),c_0_42])]) ).
cnf(c_0_95,hypothesis,
sdtasdt0(smndt0(xb),sz10) = smndt0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_28]),c_0_47])]) ).
cnf(c_0_96,hypothesis,
sdtpldt0(sz00,xa) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_93]),c_0_39]),c_0_25]),c_0_43])]) ).
cnf(c_0_97,hypothesis,
sdtpldt0(xb,sz00) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_42]),c_0_25])]) ).
cnf(c_0_98,hypothesis,
( sdtasdt0(xb,smndt0(sz10)) = smndt0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,hypothesis,
sdtpldt0(smndt0(xb),sz10) = sdtpldt0(xa,sz00),
inference(rw,[status(thm)],[c_0_81,c_0_96]) ).
cnf(c_0_100,hypothesis,
sdtpldt0(xa,sz00) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_96]),c_0_43])]) ).
cnf(c_0_101,hypothesis,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_97]),c_0_39]),c_0_25]),c_0_42])]) ).
cnf(c_0_102,hypothesis,
( aElement0(smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_98]),c_0_42])]) ).
cnf(c_0_103,hypothesis,
sdtpldt0(smndt0(xb),sz10) = xa,
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,hypothesis,
( sdtpldt0(xb,smndt0(xb)) = sz00
| ~ aElement0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_101]),c_0_42])]) ).
cnf(c_0_105,hypothesis,
aElement0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_28]),c_0_47])]) ).
cnf(c_0_106,hypothesis,
( sdtpldt0(sz10,smndt0(xb)) = xa
| ~ aElement0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_103]),c_0_47])]) ).
cnf(c_0_107,hypothesis,
sdtpldt0(xb,smndt0(xb)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105])]) ).
cnf(c_0_108,hypothesis,
( sdtpldt0(smndt0(sz10),xa) = sdtpldt0(sz00,smndt0(xb))
| ~ aElement0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_106]),c_0_47])]) ).
cnf(c_0_109,hypothesis,
sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_107]),c_0_105]),c_0_42])]) ).
cnf(c_0_110,hypothesis,
sdtpldt0(sdtasdt0(sz10,xa),xb) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61]),c_0_42])]) ).
cnf(c_0_111,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(split_conjunct,[status(thm)],[m__1319]) ).
cnf(c_0_112,hypothesis,
sdtpldt0(smndt0(sz10),xa) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_105])]) ).
cnf(c_0_113,hypothesis,
sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_109]),c_0_105])]) ).
cnf(c_0_114,hypothesis,
( sdtpldt0(xb,sdtasdt0(sz10,xa)) = sz10
| ~ aElement0(sdtasdt0(sz10,xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_110]),c_0_42])]) ).
fof(c_0_115,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)],[mMulZero])])]) ).
cnf(c_0_116,hypothesis,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa)) ),
inference(spm,[status(thm)],[c_0_54,c_0_111]) ).
cnf(c_0_117,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_118,hypothesis,
sdtpldt0(smndt0(sz10),xa) = smndt0(xb),
inference(rw,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,hypothesis,
( sdtpldt0(sz00,sdtasdt0(sz10,xa)) = xa
| ~ aElement0(sdtasdt0(sz10,xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_114]),c_0_81]),c_0_96]),c_0_100]),c_0_42])]) ).
cnf(c_0_120,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_121,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_61]),c_0_47])]) ).
cnf(c_0_122,hypothesis,
( aElement0(xw)
| ~ aElement0(sdtasdt0(xy,xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_80]),c_0_42]),c_0_117])]) ).
cnf(c_0_123,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_124,hypothesis,
( sdtpldt0(xa,smndt0(sz10)) = smndt0(xb)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_118]),c_0_43])]) ).
cnf(c_0_125,hypothesis,
( sdtpldt0(sz00,sdtpldt0(sz10,X1)) = sdtpldt0(sz10,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_59]),c_0_47]),c_0_25])]) ).
cnf(c_0_126,hypothesis,
( sdtasdt0(sz10,xa) = xa
| ~ aElement0(sdtasdt0(sz10,xa)) ),
inference(spm,[status(thm)],[c_0_67,c_0_119]) ).
cnf(c_0_127,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_120]),c_0_25])]) ).
cnf(c_0_128,plain,
( sdtasdt0(sz10,sz00) = sz00
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_25])]) ).
cnf(c_0_129,hypothesis,
aElement0(xw),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_80]),c_0_43]),c_0_123])]) ).
cnf(c_0_130,hypothesis,
( sdtpldt0(sz00,smndt0(sz10)) = sdtpldt0(smndt0(xa),smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_124]),c_0_43])]) ).
cnf(c_0_131,hypothesis,
( sdtpldt0(sz10,X1) = sdtpldt0(X1,sz10)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_125]),c_0_59]),c_0_47]),c_0_25])]) ).
cnf(c_0_132,hypothesis,
sdtasdt0(sz10,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_80]),c_0_43]),c_0_47])]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(sz00,sz10) = sdtasdt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_88]),c_0_47]),c_0_42])]) ).
cnf(c_0_134,hypothesis,
sdtasdt0(sz10,sz00) = sz00,
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_135,hypothesis,
( smndt0(sz10) = sdtpldt0(smndt0(xa),smndt0(xb))
| ~ aElement0(smndt0(sz10)) ),
inference(spm,[status(thm)],[c_0_67,c_0_130]) ).
cnf(c_0_136,hypothesis,
( sdtpldt0(smndt0(X1),sdtpldt0(sz10,X1)) = sz10
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_131]),c_0_59]),c_0_47])]) ).
cnf(c_0_137,hypothesis,
( sdtpldt0(sz10,X1) = sdtpldt0(xb,sdtpldt0(xa,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_75]),c_0_43]),c_0_42])]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(xa,sz10) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_132]),c_0_43]),c_0_47])]) ).
cnf(c_0_139,hypothesis,
sdtasdt0(sz00,xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_133]),c_0_134]),c_0_47]),c_0_25])]) ).
cnf(c_0_140,plain,
( aElement0(sdtasdt0(smndt0(sz10),X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_83]) ).
cnf(c_0_141,hypothesis,
smndt0(sz10) = sdtpldt0(smndt0(xa),smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_28]),c_0_47])]) ).
cnf(c_0_142,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_82]),c_0_80]) ).
cnf(c_0_143,hypothesis,
( sdtasdt0(sz10,sdtasdt0(xa,X1)) = sdtasdt0(xa,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_132]),c_0_43]),c_0_47])]) ).
cnf(c_0_144,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_28]),c_0_54]) ).
cnf(c_0_145,hypothesis,
sdtpldt0(sz10,sz00) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_59]),c_0_47]),c_0_25])]) ).
cnf(c_0_146,hypothesis,
( sdtpldt0(sz00,smndt0(sz10)) = sdtpldt0(sz00,sdtpldt0(smndt0(xa),smndt0(xb)))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_130]),c_0_32]),c_0_25])]) ).
cnf(c_0_147,hypothesis,
( sdtpldt0(smndt0(X1),sdtpldt0(xb,sdtpldt0(xa,X1))) = sz10
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_148,plain,
( sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2)) = sdtasdt0(X1,sz00)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_24]),c_0_28]) ).
cnf(c_0_149,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_150,hypothesis,
sdtasdt0(sz00,xa) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_138]),c_0_133]),c_0_139]),c_0_47]),c_0_43])]) ).
cnf(c_0_151,plain,
( aElement0(sdtasdt0(sdtpldt0(smndt0(xa),smndt0(xb)),X1))
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_152,hypothesis,
( sdtasdt0(xa,X1) = sdtasdt0(X1,xa)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_132]),c_0_43]),c_0_47])]) ).
cnf(c_0_153,hypothesis,
aElement0(sdtpldt0(smndt0(xa),smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_141]),c_0_47])]) ).
cnf(c_0_154,hypothesis,
sdtpldt0(sz10,sdtpldt0(sz00,smndt0(sz10))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_25]),c_0_47])]) ).
cnf(c_0_155,hypothesis,
( aElement0(sdtpldt0(sz00,sdtpldt0(smndt0(xa),smndt0(xb))))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_146]),c_0_25])]) ).
cnf(c_0_156,plain,
( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_67]),c_0_25])]) ).
cnf(c_0_157,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_32]),c_0_25])]) ).
cnf(c_0_158,hypothesis,
( sdtpldt0(smndt0(X1),sdtpldt0(xb,sdtpldt0(X1,xa))) = sz10
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_45]),c_0_43])]) ).
cnf(c_0_159,plain,
( sdtpldt0(sdtasdt0(X1,sdtpldt0(smndt0(xa),smndt0(xb))),X1) = sdtasdt0(X1,sz00)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_47])]),c_0_141]) ).
cnf(c_0_160,hypothesis,
sdtasdt0(xa,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_150]),c_0_43]),c_0_25])]) ).
cnf(c_0_161,hypothesis,
aElement0(sdtasdt0(xa,sdtpldt0(smndt0(xa),smndt0(xb)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_43]),c_0_153])]) ).
cnf(c_0_162,hypothesis,
( sdtpldt0(smndt0(sz10),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,smndt0(sz10)))
| ~ aElement0(sdtpldt0(sz00,smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_154]),c_0_47])]) ).
cnf(c_0_163,hypothesis,
aElement0(sdtpldt0(sz00,sdtpldt0(smndt0(xa),smndt0(xb)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_28]),c_0_47])]) ).
cnf(c_0_164,plain,
( sdtpldt0(sdtasdt0(X1,sz00),X1) = X1
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_149]),c_0_47])]) ).
cnf(c_0_165,plain,
sdtasdt0(sdtpldt0(smndt0(xa),smndt0(xb)),sz00) = sz00,
inference(rw,[status(thm)],[c_0_157,c_0_141]) ).
cnf(c_0_166,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xa,sdtpldt0(smndt0(xa),smndt0(xb)))),xb) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]),c_0_97]),c_0_161]),c_0_43])]) ).
cnf(c_0_167,hypothesis,
sdtpldt0(sdtpldt0(smndt0(xa),smndt0(xb)),sz00) = sdtpldt0(sz00,sdtpldt0(sz00,sdtpldt0(smndt0(xa),smndt0(xb)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_141]),c_0_141]),c_0_141]),c_0_163])]) ).
cnf(c_0_168,plain,
sdtpldt0(sz00,sdtpldt0(smndt0(xa),smndt0(xb))) = sdtpldt0(smndt0(xa),smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_153])]) ).
fof(c_0_169,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_170,hypothesis,
sdtpldt0(sdtasdt0(xa,sdtpldt0(smndt0(xa),smndt0(xb))),sz10) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_166]),c_0_70]),c_0_42]),c_0_161])]) ).
cnf(c_0_171,hypothesis,
( sdtpldt0(xb,sdtpldt0(X1,sz00)) = sdtpldt0(X1,xb)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_70]),c_0_42]),c_0_25])]) ).
cnf(c_0_172,hypothesis,
sdtpldt0(sdtpldt0(smndt0(xa),smndt0(xb)),sz00) = sdtpldt0(smndt0(xa),smndt0(xb)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168]),c_0_168]) ).
fof(c_0_173,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
cnf(c_0_174,hypothesis,
sdtpldt0(sz10,sdtasdt0(xa,sdtpldt0(smndt0(xa),smndt0(xb)))) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_170]),c_0_47]),c_0_161])]) ).
cnf(c_0_175,hypothesis,
sdtpldt0(sdtpldt0(smndt0(xa),smndt0(xb)),xb) = sdtpldt0(xb,sdtpldt0(smndt0(xa),smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_153])]) ).
cnf(c_0_176,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_177,hypothesis,
( aElementOf0(sdtasdt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_178,hypothesis,
sdtpldt0(sz00,sdtasdt0(xa,sdtpldt0(smndt0(xa),smndt0(xb)))) = sdtpldt0(xb,sdtpldt0(smndt0(xa),smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_174]),c_0_141]),c_0_175]),c_0_161]),c_0_47])]) ).
cnf(c_0_179,negated_conjecture,
~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_117])]) ).
cnf(c_0_180,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_84]) ).
cnf(c_0_181,hypothesis,
sdtasdt0(xa,sdtpldt0(smndt0(xa),smndt0(xb))) = sdtpldt0(xb,sdtpldt0(smndt0(xa),smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_178]),c_0_161])]) ).
cnf(c_0_182,negated_conjecture,
~ aElementOf0(sdtpldt0(xb,sdtpldt0(smndt0(xa),smndt0(xb))),xI),
inference(rw,[status(thm)],[c_0_179,c_0_141]) ).
cnf(c_0_183,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_36]),c_0_153]),c_0_43])]),c_0_182]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG097+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n017.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 05:55:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/2.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/2.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/2.41 # Preprocessing time : 0.018 s
% 0.22/2.41
% 0.22/2.41 # Proof found!
% 0.22/2.41 # SZS status Theorem
% 0.22/2.41 # SZS output start CNFRefutation
% See solution above
% 0.22/2.41 # Proof object total steps : 184
% 0.22/2.41 # Proof object clause steps : 146
% 0.22/2.41 # Proof object formula steps : 38
% 0.22/2.41 # Proof object conjectures : 6
% 0.22/2.41 # Proof object clause conjectures : 3
% 0.22/2.41 # Proof object formula conjectures : 3
% 0.22/2.41 # Proof object initial clauses used : 29
% 0.22/2.41 # Proof object initial formulas used : 21
% 0.22/2.41 # Proof object generating inferences : 106
% 0.22/2.41 # Proof object simplifying inferences : 278
% 0.22/2.41 # Training examples: 0 positive, 0 negative
% 0.22/2.41 # Parsed axioms : 34
% 0.22/2.41 # Removed by relevancy pruning/SinE : 3
% 0.22/2.41 # Initial clauses : 68
% 0.22/2.41 # Removed in clause preprocessing : 2
% 0.22/2.41 # Initial clauses in saturation : 66
% 0.22/2.41 # Processed clauses : 17328
% 0.22/2.41 # ...of these trivial : 1368
% 0.22/2.41 # ...subsumed : 11847
% 0.22/2.41 # ...remaining for further processing : 4113
% 0.22/2.41 # Other redundant clauses eliminated : 8
% 0.22/2.41 # Clauses deleted for lack of memory : 0
% 0.22/2.41 # Backward-subsumed : 112
% 0.22/2.41 # Backward-rewritten : 850
% 0.22/2.41 # Generated clauses : 113583
% 0.22/2.41 # ...of the previous two non-trivial : 81514
% 0.22/2.41 # Contextual simplify-reflections : 2946
% 0.22/2.41 # Paramodulations : 113572
% 0.22/2.41 # Factorizations : 0
% 0.22/2.41 # Equation resolutions : 11
% 0.22/2.41 # Current number of processed clauses : 3151
% 0.22/2.41 # Positive orientable unit clauses : 1448
% 0.22/2.41 # Positive unorientable unit clauses: 0
% 0.22/2.41 # Negative unit clauses : 39
% 0.22/2.41 # Non-unit-clauses : 1664
% 0.22/2.41 # Current number of unprocessed clauses: 49327
% 0.22/2.41 # ...number of literals in the above : 155179
% 0.22/2.41 # Current number of archived formulas : 0
% 0.22/2.41 # Current number of archived clauses : 962
% 0.22/2.41 # Clause-clause subsumption calls (NU) : 1968386
% 0.22/2.41 # Rec. Clause-clause subsumption calls : 1554350
% 0.22/2.41 # Non-unit clause-clause subsumptions : 11702
% 0.22/2.41 # Unit Clause-clause subsumption calls : 36655
% 0.22/2.41 # Rewrite failures with RHS unbound : 0
% 0.22/2.41 # BW rewrite match attempts : 11713
% 0.22/2.41 # BW rewrite match successes : 216
% 0.22/2.41 # Condensation attempts : 0
% 0.22/2.41 # Condensation successes : 0
% 0.22/2.41 # Termbank termtop insertions : 2589847
% 0.22/2.41
% 0.22/2.41 # -------------------------------------------------
% 0.22/2.41 # User time : 1.886 s
% 0.22/2.41 # System time : 0.035 s
% 0.22/2.41 # Total time : 1.921 s
% 0.22/2.41 # Maximum resident set size: 52752 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------