TSTP Solution File: RNG094+2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : RNG094+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:15:06 EDT 2023
% Result : Theorem 24.07s 3.53s
% Output : CNFRefutation 24.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 78 ( 13 unt; 0 def)
% Number of atoms : 275 ( 29 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 334 ( 137 ~; 127 |; 49 &)
% ( 1 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 109 ( 1 sgn; 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& ( aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X1,xx,xI) )
& ( aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| sdteqdtlpzmzozddtrp0(X1,xy,xJ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',m__) ).
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/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mAddAsso) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mSortsB) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mSortsU) ).
fof(m__1217,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',m__1217) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mAddInvr) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mAddZero) ).
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/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',m__1205) ).
fof(m__1205_03,hypothesis,
! [X1] :
( aElement0(X1)
=> ( ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 )
& aElementOf0(X1,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',m__1205_03) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mEOfElem) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mSortsB_02) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mMulMnOne) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mMulZero) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mSortsC_01) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mSortsC) ).
fof(mDefIdeal,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('/export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p',mDefIdeal) ).
fof(c_0_16,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& ( aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X1,xx,xI) )
& ( aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| sdteqdtlpzmzozddtrp0(X1,xy,xJ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,negated_conjecture,
! [X84] :
( ( ~ aElementOf0(sdtpldt0(X84,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X84,smndt0(xx)),xI)
| ~ aElement0(X84) )
& ( ~ sdteqdtlpzmzozddtrp0(X84,xy,xJ)
| ~ aElementOf0(sdtpldt0(X84,smndt0(xx)),xI)
| ~ aElement0(X84) )
& ( ~ aElementOf0(sdtpldt0(X84,smndt0(xy)),xJ)
| ~ sdteqdtlpzmzozddtrp0(X84,xx,xI)
| ~ aElement0(X84) )
& ( ~ sdteqdtlpzmzozddtrp0(X84,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X84,xx,xI)
| ~ aElement0(X84) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_18,plain,
! [X14,X15,X16] :
( ~ aElement0(X14)
| ~ aElement0(X15)
| ~ aElement0(X16)
| sdtpldt0(sdtpldt0(X14,X15),X16) = sdtpldt0(X14,sdtpldt0(X15,X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_19,plain,
! [X8,X9] :
( ~ aElement0(X8)
| ~ aElement0(X9)
| aElement0(sdtpldt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_20,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X7] :
( ~ aElement0(X7)
| aElement0(smndt0(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(c_0_24,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X1,sdtpldt0(X2,smndt0(xx))),xI)
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,X2),smndt0(xy)),xJ)
| ~ aElement0(smndt0(xx))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
fof(c_0_27,plain,
! [X18] :
( ( sdtpldt0(X18,smndt0(X18)) = sz00
| ~ aElement0(X18) )
& ( sz00 = sdtpldt0(smndt0(X18),X18)
| ~ aElement0(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
cnf(c_0_28,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X1,sdtpldt0(X2,smndt0(xx))),xI)
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,X2),smndt0(xy)),xJ)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_30,plain,
! [X17] :
( ( sdtpldt0(X17,sz00) = X17
| ~ aElement0(X17) )
& ( X17 = sdtpldt0(sz00,X17)
| ~ aElement0(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(c_0_31,hypothesis,
! [X75,X76,X77,X78,X79,X80] :
( aSet0(xI)
& ( ~ aElementOf0(X76,xI)
| aElementOf0(sdtpldt0(X75,X76),xI)
| ~ aElementOf0(X75,xI) )
& ( ~ aElement0(X77)
| aElementOf0(sdtasdt0(X77,X75),xI)
| ~ aElementOf0(X75,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ( ~ aElementOf0(X79,xJ)
| aElementOf0(sdtpldt0(X78,X79),xJ)
| ~ aElementOf0(X78,xJ) )
& ( ~ aElement0(X80)
| aElementOf0(sdtasdt0(X80,X78),xJ)
| ~ aElementOf0(X78,xJ) )
& aIdeal0(xJ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205])])])]) ).
fof(c_0_32,hypothesis,
! [X81] :
( ( aElementOf0(esk12_1(X81),xI)
| ~ aElement0(X81) )
& ( aElementOf0(esk13_1(X81),xJ)
| ~ aElement0(X81) )
& ( sdtpldt0(esk12_1(X81),esk13_1(X81)) = X81
| ~ aElement0(X81) )
& ( aElementOf0(X81,sdtpldt1(xI,xJ))
| ~ aElement0(X81) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205_03])])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(X1,xx),smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X1,sz00),xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).
cnf(c_0_34,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(esk12_1(X1),xI)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X32,X33] :
( ~ aSet0(X32)
| ~ aElementOf0(X33,X32)
| aElement0(X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_38,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(X1,xx),smndt0(xy)),xJ)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,hypothesis,
( aElementOf0(sdtasdt0(X1,esk12_1(X2)),xI)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_40,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ aElement0(X11)
| aElement0(sdtasdt0(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_41,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(X1,esk12_1(X2)),xx),smndt0(xy)),xJ)
| ~ aElement0(sdtasdt0(X1,esk12_1(X2)))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,hypothesis,
( aElement0(esk12_1(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_42])]) ).
fof(c_0_46,plain,
! [X28] :
( ( sdtasdt0(smndt0(sz10),X28) = smndt0(X28)
| ~ aElement0(X28) )
& ( smndt0(X28) = sdtasdt0(X28,smndt0(sz10))
| ~ aElement0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
cnf(c_0_47,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(X1,esk12_1(X2)),xx),smndt0(xy)),xJ)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_48,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xJ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_50,hypothesis,
( aElementOf0(esk13_1(X1),xJ)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_51,plain,
! [X29] :
( ( sdtasdt0(X29,sz00) = sz00
| ~ aElement0(X29) )
& ( sz00 = sdtasdt0(sz00,X29)
| ~ aElement0(X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
cnf(c_0_52,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(smndt0(esk12_1(X1)),xx),smndt0(xy)),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_45]) ).
cnf(c_0_54,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_55,hypothesis,
( aElementOf0(sdtasdt0(X1,esk13_1(X2)),xJ)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_58,hypothesis,
( aElement0(esk13_1(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_50]),c_0_52])]) ).
cnf(c_0_59,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(smndt0(esk12_1(X1)),xx),smndt0(xy)),xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_25]),c_0_54])]) ).
fof(c_0_60,plain,
! [X60,X61,X62,X63,X64] :
( ( aSet0(X60)
| ~ aIdeal0(X60) )
& ( ~ aElementOf0(X62,X60)
| aElementOf0(sdtpldt0(X61,X62),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( ~ aElement0(X63)
| aElementOf0(sdtasdt0(X63,X61),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( aElementOf0(esk9_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) ) ),
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)],[mDefIdeal])])])])])]) ).
cnf(c_0_61,hypothesis,
( aElementOf0(sz00,xJ)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),c_0_58]) ).
cnf(c_0_62,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_63,negated_conjecture,
( ~ aElementOf0(sdtpldt0(smndt0(esk12_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ)
| ~ aElement0(smndt0(esk12_1(X1)))
| ~ aElement0(smndt0(xy))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_21]),c_0_26])]) ).
cnf(c_0_64,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_65,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,hypothesis,
aElementOf0(sz00,xJ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_68,negated_conjecture,
( ~ aElementOf0(sdtpldt0(smndt0(esk12_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ)
| ~ aElement0(smndt0(esk12_1(X1)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_25]),c_0_62])]) ).
cnf(c_0_69,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_64]),c_0_25]) ).
cnf(c_0_70,hypothesis,
( sdtpldt0(esk12_1(X1),esk13_1(X1)) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_71,hypothesis,
( aElementOf0(sdtpldt0(sz00,X1),xJ)
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_72,negated_conjecture,
( ~ aElementOf0(sdtpldt0(smndt0(esk12_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_25]),c_0_45]) ).
cnf(c_0_73,hypothesis,
( sdtpldt0(smndt0(esk12_1(X1)),X1) = sdtpldt0(sz00,esk13_1(X1))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_45]),c_0_58]) ).
cnf(c_0_74,hypothesis,
( aElementOf0(sdtpldt0(sz00,esk13_1(X1)),xJ)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_50]) ).
cnf(c_0_75,negated_conjecture,
~ aElement0(sdtpldt0(xx,smndt0(xy))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_76,negated_conjecture,
~ aElement0(smndt0(xy)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_22]),c_0_26])]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_25]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG094+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Oct 2 19:47:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.TX5pyEUoEq/E---3.1_16554.p
% 24.07/3.53 # Version: 3.1pre001
% 24.07/3.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 24.07/3.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.07/3.53 # Starting new_bool_3 with 300s (1) cores
% 24.07/3.53 # Starting new_bool_1 with 300s (1) cores
% 24.07/3.53 # Starting sh5l with 300s (1) cores
% 24.07/3.53 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 16632 completed with status 0
% 24.07/3.53 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 24.07/3.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 24.07/3.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.07/3.53 # No SInE strategy applied
% 24.07/3.53 # Search class: FGHSF-FFMM32-SFFFFFNN
% 24.07/3.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 24.07/3.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 24.07/3.53 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 24.07/3.53 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 16642 completed with status 0
% 24.07/3.53 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 24.07/3.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 24.07/3.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 24.07/3.53 # No SInE strategy applied
% 24.07/3.53 # Search class: FGHSF-FFMM32-SFFFFFNN
% 24.07/3.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 24.07/3.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 24.07/3.53 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 24.07/3.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 24.07/3.53 # Preprocessing time : 0.002 s
% 24.07/3.53 # Presaturation interreduction done
% 24.07/3.53
% 24.07/3.53 # Proof found!
% 24.07/3.53 # SZS status Theorem
% 24.07/3.53 # SZS output start CNFRefutation
% See solution above
% 24.07/3.53 # Parsed axioms : 31
% 24.07/3.53 # Removed by relevancy pruning/SinE : 0
% 24.07/3.53 # Initial clauses : 76
% 24.07/3.53 # Removed in clause preprocessing : 2
% 24.07/3.53 # Initial clauses in saturation : 74
% 24.07/3.53 # Processed clauses : 10705
% 24.07/3.53 # ...of these trivial : 18
% 24.07/3.53 # ...subsumed : 7693
% 24.07/3.53 # ...remaining for further processing : 2994
% 24.07/3.53 # Other redundant clauses eliminated : 33
% 24.07/3.53 # Clauses deleted for lack of memory : 0
% 24.07/3.53 # Backward-subsumed : 1172
% 24.07/3.53 # Backward-rewritten : 61
% 24.07/3.53 # Generated clauses : 119077
% 24.07/3.53 # ...of the previous two non-redundant : 117788
% 24.07/3.53 # ...aggressively subsumed : 0
% 24.07/3.53 # Contextual simplify-reflections : 609
% 24.07/3.53 # Paramodulations : 119024
% 24.07/3.53 # Factorizations : 20
% 24.07/3.53 # NegExts : 0
% 24.07/3.53 # Equation resolutions : 34
% 24.07/3.53 # Total rewrite steps : 58129
% 24.07/3.53 # Propositional unsat checks : 0
% 24.07/3.53 # Propositional check models : 0
% 24.07/3.53 # Propositional check unsatisfiable : 0
% 24.07/3.53 # Propositional clauses : 0
% 24.07/3.53 # Propositional clauses after purity: 0
% 24.07/3.53 # Propositional unsat core size : 0
% 24.07/3.53 # Propositional preprocessing time : 0.000
% 24.07/3.53 # Propositional encoding time : 0.000
% 24.07/3.53 # Propositional solver time : 0.000
% 24.07/3.53 # Success case prop preproc time : 0.000
% 24.07/3.53 # Success case prop encoding time : 0.000
% 24.07/3.53 # Success case prop solver time : 0.000
% 24.07/3.53 # Current number of processed clauses : 1678
% 24.07/3.53 # Positive orientable unit clauses : 98
% 24.07/3.53 # Positive unorientable unit clauses: 0
% 24.07/3.53 # Negative unit clauses : 453
% 24.07/3.53 # Non-unit-clauses : 1127
% 24.07/3.53 # Current number of unprocessed clauses: 106530
% 24.07/3.53 # ...number of literals in the above : 717264
% 24.07/3.53 # Current number of archived formulas : 0
% 24.07/3.53 # Current number of archived clauses : 1307
% 24.07/3.53 # Clause-clause subsumption calls (NU) : 429123
% 24.07/3.53 # Rec. Clause-clause subsumption calls : 205404
% 24.07/3.53 # Non-unit clause-clause subsumptions : 3045
% 24.07/3.53 # Unit Clause-clause subsumption calls : 76165
% 24.07/3.53 # Rewrite failures with RHS unbound : 0
% 24.07/3.53 # BW rewrite match attempts : 159
% 24.07/3.53 # BW rewrite match successes : 49
% 24.07/3.53 # Condensation attempts : 0
% 24.07/3.53 # Condensation successes : 0
% 24.07/3.53 # Termbank termtop insertions : 2806373
% 24.07/3.53
% 24.07/3.53 # -------------------------------------------------
% 24.07/3.53 # User time : 2.877 s
% 24.07/3.53 # System time : 0.086 s
% 24.07/3.53 # Total time : 2.963 s
% 24.07/3.53 # Maximum resident set size: 1908 pages
% 24.07/3.53
% 24.07/3.53 # -------------------------------------------------
% 24.07/3.53 # User time : 14.265 s
% 24.07/3.53 # System time : 0.557 s
% 24.07/3.53 # Total time : 14.822 s
% 24.07/3.53 # Maximum resident set size: 1728 pages
% 24.07/3.53 % E---3.1 exiting
% 24.07/3.54 % E---3.1 exiting
%------------------------------------------------------------------------------