%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG096+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:26:54 EDT 2022
% Result : Theorem 0.34s 24.53s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 19
% Syntax : Number of formulae : 103 ( 32 unt; 0 def)
% Number of atoms : 284 ( 50 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 327 ( 146 ~; 127 |; 35 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 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 : 102 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__1319,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1319) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1205) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
fof(m__1294,hypothesis,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1294) ).
fof(m__1217,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1217) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB_02) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulMnOne) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddInvr) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsU) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulZero) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAMDistr) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsC_01) ).
fof(c_0_19,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_20,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
cnf(c_0_21,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_22,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(split_conjunct,[status(thm)],[m__1319]) ).
fof(c_0_23,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])]) ).
fof(c_0_24,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_25,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])])])])])]) ).
cnf(c_0_26,negated_conjecture,
~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),smndt0(xx)),xI),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_28,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_29,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,hypothesis,
aElementOf0(xa,xI),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_31,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(smndt0(xx)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_35,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__1217]) ).
fof(c_0_36,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_37,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xa,xy),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(smndt0(xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_39,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_40,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xa,xy),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(smndt0(xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_34]),c_0_35])]) ).
cnf(c_0_41,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_42,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_43,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])])]) ).
fof(c_0_44,plain,
! [X2] :
( ~ aElement0(X2)
| aElement0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
fof(c_0_45,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_46,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xa,xy),sdtpldt0(smndt0(xx),sdtasdt0(xx,xb))),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(smndt0(xx)) ),
inference(pm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_49,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,hypothesis,
aElementOf0(xb,xJ),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_52,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_53,hypothesis,
( aElementOf0(sdtasdt0(X2,X1),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_54,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_56,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xa,xy),sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,xb))),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(smndt0(xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_57,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_58,hypothesis,
( aElementOf0(sdtasdt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_59,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])])]) ).
cnf(c_0_60,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_49]),c_0_50]) ).
cnf(c_0_61,hypothesis,
sdtpldt0(xa,xb) = sz10,
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_62,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_51]),c_0_52])]) ).
cnf(c_0_63,hypothesis,
( aElementOf0(sz00,xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_64,hypothesis,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,xb)),xI)
| ~ aElementOf0(sdtasdt0(xa,xy),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(smndt0(xx)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(pm,[status(thm)],[c_0_58,c_0_33]) ).
cnf(c_0_66,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,hypothesis,
sdtpldt0(sz00,xb) = sdtpldt0(smndt0(xa),sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_34])]) ).
fof(c_0_68,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_69,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X2,xJ) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_70,hypothesis,
aElementOf0(sz00,xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_62])]) ).
cnf(c_0_71,hypothesis,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,xb)),xI)
| ~ aElement0(sdtasdt0(xx,xb))
| ~ aElement0(smndt0(xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_30]),c_0_35]),c_0_34])]) ).
cnf(c_0_72,hypothesis,
xb = sdtpldt0(smndt0(xa),sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_62])]) ).
cnf(c_0_73,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_68]) ).
cnf(c_0_74,hypothesis,
aElementOf0(sdtpldt0(smndt0(xa),sz10),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_51]),c_0_70])]) ).
fof(c_0_75,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_76,hypothesis,
( ~ aElementOf0(sdtpldt0(sdtasdt0(xx,smndt0(sz10)),sdtasdt0(xx,sdtpldt0(smndt0(xa),sz10))),xI)
| ~ aElement0(sdtasdt0(xx,sdtpldt0(smndt0(xa),sz10)))
| ~ aElement0(smndt0(xx)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_72]) ).
cnf(c_0_77,hypothesis,
( aElementOf0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),xI)
| ~ aElementOf0(sdtpldt0(X2,X3),xI)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[c_0_58,c_0_73]) ).
cnf(c_0_78,hypothesis,
aElement0(sdtpldt0(smndt0(xa),sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_74]),c_0_52])]) ).
cnf(c_0_79,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_80,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
( smndt0(sz00) = sz00
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_47]),c_0_55])]) ).
cnf(c_0_82,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_83,hypothesis,
( ~ aElementOf0(sdtpldt0(smndt0(sz10),sdtpldt0(smndt0(xa),sz10)),xI)
| ~ aElement0(sdtasdt0(xx,sdtpldt0(smndt0(xa),sz10)))
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_48]),c_0_78])]) ).
cnf(c_0_84,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_79,c_0_27]),c_0_55])]),c_0_80]) ).
cnf(c_0_85,hypothesis,
( sdtpldt0(xa,sdtpldt0(xb,X1)) = sdtpldt0(sz10,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_61]),c_0_62]),c_0_34])]) ).
cnf(c_0_86,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_50]),c_0_82])]) ).
cnf(c_0_87,hypothesis,
( ~ aElementOf0(sdtpldt0(smndt0(sz10),sdtpldt0(smndt0(xa),sz10)),xI)
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_38]),c_0_78]),c_0_48])]) ).
cnf(c_0_88,hypothesis,
sdtpldt0(sz10,sz00) = 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_84,c_0_85]),c_0_61]),c_0_62]),c_0_34]),c_0_55])]) ).
cnf(c_0_89,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_86]),c_0_55])]) ).
cnf(c_0_90,hypothesis,
( aElementOf0(sz00,xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_54]),c_0_55])]) ).
cnf(c_0_91,hypothesis,
( ~ aElementOf0(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,smndt0(xa))),xI)
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_41]),c_0_82])]) ).
cnf(c_0_92,hypothesis,
( aElementOf0(sdtpldt0(X1,sdtpldt0(X2,X3)),xI)
| ~ aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aElementOf0(X3,xI)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_27]) ).
cnf(c_0_93,hypothesis,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_88]),c_0_89]),c_0_55]),c_0_82])]) ).
cnf(c_0_94,hypothesis,
aElementOf0(sz00,xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_30]),c_0_34])]) ).
cnf(c_0_95,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_96,hypothesis,
( ~ aElementOf0(smndt0(xa),xI)
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]),c_0_82])]) ).
cnf(c_0_97,hypothesis,
( aElementOf0(smndt0(X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1) ),
inference(pm,[status(thm)],[c_0_58,c_0_95]) ).
cnf(c_0_98,hypothesis,
( ~ aElementOf0(smndt0(xa),xI)
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_50]),c_0_34])]) ).
cnf(c_0_99,hypothesis,
( aElementOf0(smndt0(X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_50]),c_0_82])]) ).
cnf(c_0_100,hypothesis,
( ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_30]),c_0_34])]) ).
cnf(c_0_101,hypothesis,
~ aElement0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_50]),c_0_48])]) ).
cnf(c_0_102,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_50]),c_0_82])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG096+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.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 13:53:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/23.39 eprover: CPU time limit exceeded, terminating
% 0.34/23.39 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/23.40 eprover: CPU time limit exceeded, terminating
% 0.34/24.53 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.34/24.53
% 0.34/24.53 # Failure: Resource limit exceeded (time)
% 0.34/24.53 # OLD status Res
% 0.34/24.53 # Preprocessing time : 0.018 s
% 0.34/24.53 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.34/24.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.34/24.53 # Preprocessing time : 0.010 s
% 0.34/24.53
% 0.34/24.53 # Proof found!
% 0.34/24.53 # SZS status Theorem
% 0.34/24.53 # SZS output start CNFRefutation
% See solution above
% 0.34/24.53 # Proof object total steps : 103
% 0.34/24.53 # Proof object clause steps : 69
% 0.34/24.53 # Proof object formula steps : 34
% 0.34/24.53 # Proof object conjectures : 10
% 0.34/24.53 # Proof object clause conjectures : 7
% 0.34/24.53 # Proof object formula conjectures : 3
% 0.34/24.53 # Proof object initial clauses used : 29
% 0.34/24.53 # Proof object initial formulas used : 19
% 0.34/24.53 # Proof object generating inferences : 38
% 0.34/24.53 # Proof object simplifying inferences : 82
% 0.34/24.53 # Training examples: 0 positive, 0 negative
% 0.34/24.53 # Parsed axioms : 33
% 0.34/24.53 # Removed by relevancy pruning/SinE : 3
% 0.34/24.53 # Initial clauses : 67
% 0.34/24.53 # Removed in clause preprocessing : 2
% 0.34/24.53 # Initial clauses in saturation : 65
% 0.34/24.53 # Processed clauses : 4835
% 0.34/24.53 # ...of these trivial : 95
% 0.34/24.53 # ...subsumed : 3204
% 0.34/24.53 # ...remaining for further processing : 1536
% 0.34/24.53 # Other redundant clauses eliminated : 8
% 0.34/24.53 # Clauses deleted for lack of memory : 0
% 0.34/24.53 # Backward-subsumed : 147
% 0.34/24.53 # Backward-rewritten : 205
% 0.34/24.53 # Generated clauses : 36087
% 0.34/24.53 # ...of the previous two non-trivial : 31931
% 0.34/24.53 # Contextual simplify-reflections : 1442
% 0.34/24.53 # Paramodulations : 36074
% 0.34/24.53 # Factorizations : 0
% 0.34/24.53 # Equation resolutions : 13
% 0.34/24.53 # Current number of processed clauses : 1184
% 0.34/24.53 # Positive orientable unit clauses : 94
% 0.34/24.53 # Positive unorientable unit clauses: 0
% 0.34/24.53 # Negative unit clauses : 32
% 0.34/24.53 # Non-unit-clauses : 1058
% 0.34/24.53 # Current number of unprocessed clauses: 24215
% 0.34/24.53 # ...number of literals in the above : 120631
% 0.34/24.53 # Current number of archived formulas : 0
% 0.34/24.53 # Current number of archived clauses : 352
% 0.34/24.53 # Clause-clause subsumption calls (NU) : 505866
% 0.34/24.53 # Rec. Clause-clause subsumption calls : 284959
% 0.34/24.53 # Non-unit clause-clause subsumptions : 4393
% 0.34/24.53 # Unit Clause-clause subsumption calls : 3760
% 0.34/24.53 # Rewrite failures with RHS unbound : 0
% 0.34/24.53 # BW rewrite match attempts : 350
% 0.34/24.53 # BW rewrite match successes : 45
% 0.34/24.53 # Condensation attempts : 0
% 0.34/24.53 # Condensation successes : 0
% 0.34/24.53 # Termbank termtop insertions : 647804
% 0.34/24.53
% 0.34/24.53 # -------------------------------------------------
% 0.34/24.53 # User time : 0.616 s
% 0.34/24.53 # System time : 0.010 s
% 0.34/24.53 # Total time : 0.626 s
% 0.34/24.53 # Maximum resident set size: 27680 pages
%------------------------------------------------------------------------------