TSTP Solution File: RNG093+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG093+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 20:26:53 EDT 2022
% Result : Theorem 0.36s 24.55s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 79 ( 16 unt; 0 def)
% Number of atoms : 368 ( 22 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 507 ( 218 ~; 263 |; 19 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 141 ( 3 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/solver/bin/../tmp/theBenchmark.p',mDefIdeal) ).
fof(mDefSInt,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtasasdt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElementOf0(X4,X1)
& aElementOf0(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',mDefSInt) ).
fof(m__1150,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__1150) ).
fof(m__,conjecture,
aIdeal0(sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',m__) ).
fof(c_0_4,plain,
! [X4,X5,X6,X7,X4] :
( ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk1_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk3_1(X4))
| aElementOf0(esk2_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4)
| aElementOf0(esk2_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk3_1(X4))
| ~ aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk3_1(X4),esk1_1(X4)),X4)
| ~ aElementOf0(sdtpldt0(esk1_1(X4),esk2_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])])]) ).
fof(c_0_5,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(X8,X6)
| ~ aElementOf0(X8,X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElementOf0(X8,X6)
| aElementOf0(X8,X7)
| X7 != sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( ~ aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aElementOf0(esk4_3(X5,X6,X7),X5)
| ~ aElementOf0(esk4_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| X7 = sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(esk4_3(X5,X6,X7),X5)
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) )
& ( aElementOf0(esk4_3(X5,X6,X7),X6)
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtasasdt0(X5,X6)
| ~ aSet0(X5)
| ~ aSet0(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSInt])])])])])])]) ).
cnf(c_0_6,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__1150]) ).
cnf(c_0_8,plain,
( X3 = sdtasasdt0(X2,X1)
| aElementOf0(esk4_3(X2,X1,X3),X3)
| aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( aElementOf0(X4,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
( sdtasasdt0(X1,X2) = xI
| aElementOf0(esk4_3(X1,X2,xI),xI)
| aElementOf0(esk4_3(X1,X2,xI),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( aElementOf0(sdtasdt0(X3,X2),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( aIdeal0(X1)
| aElementOf0(esk1_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( aSet0(sdtasasdt0(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( X3 = sdtasasdt0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk4_3(X2,X1,X3),X1)
| ~ aElementOf0(esk4_3(X2,X1,X3),X2)
| ~ aElementOf0(esk4_3(X2,X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,hypothesis,
( sdtasasdt0(xI,X1) = xI
| aElementOf0(esk4_3(xI,X1,xI),xI)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_19,plain,
( aElementOf0(X4,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aIdeal0(sdtasasdt0(X3,X4))
| ~ aElementOf0(X2,sdtasasdt0(X3,X4))
| ~ aSet0(X3)
| ~ aSet0(X4)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk1_1(sdtasasdt0(X1,X2)),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_16]) ).
cnf(c_0_22,hypothesis,
( sdtasasdt0(xI,X1) = xI
| ~ aElementOf0(esk4_3(xI,X1,xI),X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_9])]),c_0_18]) ).
cnf(c_0_23,plain,
( aIdeal0(X1)
| aElementOf0(esk2_1(X1),X1)
| aElement0(esk3_1(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( aIdeal0(X1)
| aElementOf0(esk2_1(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtasdt0(esk3_1(X1),esk1_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
( aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( aIdeal0(sdtasasdt0(sdtasasdt0(X1,X2),X3))
| aElementOf0(sdtasdt0(X4,esk1_1(sdtasasdt0(sdtasasdt0(X1,X2),X3))),X1)
| ~ aIdeal0(sdtasasdt0(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_6]) ).
cnf(c_0_27,hypothesis,
sdtasasdt0(xI,xI) = xI,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_18]),c_0_9])]) ).
cnf(c_0_28,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk2_1(sdtasasdt0(X1,X2)),sdtasasdt0(X1,X2))
| aElement0(esk3_1(sdtasasdt0(X1,X2)))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_16]) ).
cnf(c_0_29,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[m__1150]) ).
cnf(c_0_30,plain,
( aElementOf0(sdtpldt0(X2,X3),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| ~ aElementOf0(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk2_1(sdtasasdt0(X1,X2)),sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(X1,X2)),esk1_1(sdtasasdt0(X1,X2))),X1)
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(X1,X2)),esk1_1(sdtasasdt0(X1,X2))),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_16]) ).
cnf(c_0_32,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(sdtasdt0(X2,esk1_1(sdtasasdt0(xI,X1))),xI)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_7]),c_0_9])]) ).
cnf(c_0_33,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk2_1(sdtasasdt0(xI,X1)),sdtasasdt0(xI,X1))
| aElement0(esk3_1(sdtasasdt0(xI,X1)))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_9]) ).
cnf(c_0_34,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_6,c_0_29]) ).
cnf(c_0_35,plain,
( aIdeal0(X1)
| aElement0(esk3_1(X1))
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk1_1(X1),esk2_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(sdtasasdt0(X3,X4))
| ~ aElementOf0(X2,sdtasasdt0(X3,X4))
| ~ aElementOf0(X1,sdtasasdt0(X3,X4))
| ~ aSet0(X3)
| ~ aSet0(X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_30]) ).
cnf(c_0_37,plain,
( aIdeal0(sdtasasdt0(sdtasasdt0(X1,X2),X3))
| aElementOf0(esk1_1(sdtasasdt0(sdtasasdt0(X1,X2),X3)),X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_21]),c_0_16]) ).
cnf(c_0_38,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk2_1(sdtasasdt0(xI,X1)),sdtasasdt0(xI,X1))
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(xI,X1)),esk1_1(sdtasasdt0(xI,X1))),X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_9])]),c_0_33]) ).
cnf(c_0_39,plain,
( aElementOf0(X4,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| X3 != sdtasasdt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,hypothesis,
( sdtasasdt0(X1,X2) = xJ
| aElementOf0(esk4_3(X1,X2,xJ),xJ)
| aElementOf0(esk4_3(X1,X2,xJ),X1)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_34]) ).
cnf(c_0_41,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElement0(esk3_1(sdtasasdt0(X1,X2)))
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,X2)),esk2_1(sdtasasdt0(X1,X2))),X1)
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,X2)),esk2_1(sdtasasdt0(X1,X2))),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_16]) ).
cnf(c_0_42,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_27]),c_0_7]),c_0_9])]) ).
cnf(c_0_43,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk1_1(sdtasasdt0(xI,X1)),xI)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_9])]) ).
cnf(c_0_44,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk2_1(sdtasasdt0(xI,X1)),sdtasasdt0(xI,X1))
| ~ aIdeal0(X1)
| ~ aElementOf0(esk1_1(sdtasasdt0(xI,X1)),X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_14]),c_0_33]),c_0_6]) ).
cnf(c_0_45,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X3,X2))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_46,hypothesis,
( sdtasasdt0(xJ,X1) = xJ
| aElementOf0(esk4_3(xJ,X1,xJ),xJ)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
cnf(c_0_47,plain,
( aIdeal0(X1)
| ~ aSet0(X1)
| ~ aElementOf0(sdtpldt0(esk1_1(X1),esk2_1(X1)),X1)
| ~ aElementOf0(sdtasdt0(esk3_1(X1),esk1_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_48,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElement0(esk3_1(sdtasasdt0(xI,X1)))
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,X1)),esk2_1(sdtasasdt0(xI,X1))),X1)
| ~ aElementOf0(esk2_1(sdtasasdt0(xI,X1)),xI)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_9])]),c_0_43]) ).
cnf(c_0_49,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk2_1(sdtasasdt0(xI,X1)),xI)
| ~ aIdeal0(X1)
| ~ aElementOf0(esk1_1(sdtasasdt0(xI,X1)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_44]),c_0_9])]),c_0_6]) ).
cnf(c_0_50,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk1_1(sdtasasdt0(X1,X2)),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_15]),c_0_16]) ).
cnf(c_0_51,hypothesis,
( sdtasasdt0(xJ,X1) = xJ
| ~ aElementOf0(esk4_3(xJ,X1,xJ),X1)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_46]),c_0_34])]),c_0_46]) ).
fof(c_0_52,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_53,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,X2)),esk2_1(sdtasasdt0(X1,X2))),sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(X1,X2)),esk1_1(sdtasasdt0(X1,X2))),X1)
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(X1,X2)),esk1_1(sdtasasdt0(X1,X2))),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_25]),c_0_16]) ).
cnf(c_0_54,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElement0(esk3_1(sdtasasdt0(xI,X1)))
| ~ aIdeal0(X1)
| ~ aElementOf0(esk2_1(sdtasasdt0(xI,X1)),xI)
| ~ aElementOf0(esk2_1(sdtasasdt0(xI,X1)),X1)
| ~ aElementOf0(esk1_1(sdtasasdt0(xI,X1)),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_30]),c_0_6]) ).
cnf(c_0_55,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk2_1(sdtasasdt0(xI,X1)),X1)
| ~ aIdeal0(X1)
| ~ aElementOf0(esk1_1(sdtasasdt0(xI,X1)),X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_9])]),c_0_6]) ).
cnf(c_0_56,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(esk2_1(sdtasasdt0(xI,X1)),xI)
| ~ aIdeal0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_9])]),c_0_6]) ).
cnf(c_0_57,plain,
( aIdeal0(sdtasasdt0(X1,sdtasasdt0(X2,X3)))
| aElementOf0(esk1_1(sdtasasdt0(X1,sdtasasdt0(X2,X3))),X2)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_50]),c_0_16]) ).
cnf(c_0_58,hypothesis,
sdtasasdt0(xJ,xJ) = xJ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_34])]) ).
fof(c_0_59,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(X1,X2)),esk1_1(sdtasasdt0(X1,X2))),X1)
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(X1,X2)),esk1_1(sdtasasdt0(X1,X2))),X2)
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,X2)),esk2_1(sdtasasdt0(X1,X2))),X1)
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,X2)),esk2_1(sdtasasdt0(X1,X2))),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_25]) ).
cnf(c_0_61,plain,
( aIdeal0(sdtasasdt0(X1,sdtasasdt0(X2,X3)))
| aElementOf0(sdtasdt0(X4,esk1_1(sdtasasdt0(X1,sdtasasdt0(X2,X3)))),X2)
| ~ aIdeal0(sdtasasdt0(X2,X3))
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aElement0(X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_50]),c_0_6]) ).
cnf(c_0_62,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElement0(esk3_1(sdtasasdt0(xI,X1)))
| ~ aIdeal0(X1)
| ~ aElementOf0(esk1_1(sdtasasdt0(xI,X1)),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_63,hypothesis,
( aIdeal0(sdtasasdt0(X1,xJ))
| aElementOf0(esk1_1(sdtasasdt0(X1,xJ)),xJ)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_34])]) ).
cnf(c_0_64,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( aElementOf0(sdtpldt0(X1,X2),X3)
| ~ aIdeal0(sdtasasdt0(X3,X4))
| ~ aElementOf0(X1,sdtasasdt0(X3,X4))
| ~ aElementOf0(X2,X3)
| ~ aElementOf0(X2,X4)
| ~ aSet0(X3)
| ~ aSet0(X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_66,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,X1)),esk2_1(sdtasasdt0(xI,X1))),xI)
| ~ aElementOf0(sdtasdt0(esk3_1(sdtasasdt0(xI,X1)),esk1_1(sdtasasdt0(xI,X1))),X1)
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,X1)),esk2_1(sdtasasdt0(xI,X1))),X1)
| ~ aSet0(X1)
| ~ aElement0(esk3_1(sdtasasdt0(xI,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_32]),c_0_9])]) ).
cnf(c_0_67,hypothesis,
( aIdeal0(sdtasasdt0(X1,xJ))
| aElementOf0(sdtasdt0(X2,esk1_1(sdtasasdt0(X1,xJ))),xJ)
| ~ aSet0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_58]),c_0_29]),c_0_34])]) ).
cnf(c_0_68,hypothesis,
aElement0(esk3_1(sdtasasdt0(xI,xJ))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_29]),c_0_9])]),c_0_64]) ).
cnf(c_0_69,plain,
( aIdeal0(sdtasasdt0(sdtasasdt0(X1,X2),X3))
| aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(sdtasasdt0(X1,X2),X3)),X4),X1)
| ~ aIdeal0(sdtasasdt0(X1,X2))
| ~ aElementOf0(X4,X1)
| ~ aElementOf0(X4,X2)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_21]),c_0_6]) ).
cnf(c_0_70,hypothesis,
( ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,xJ)),esk2_1(sdtasasdt0(xI,xJ))),xI)
| ~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,xJ)),esk2_1(sdtasasdt0(xI,xJ))),xJ) ),
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_66,c_0_67]),c_0_34]),c_0_68]),c_0_9])]),c_0_64]) ).
cnf(c_0_71,hypothesis,
( aIdeal0(sdtasasdt0(xI,X1))
| aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,X1)),X2),xI)
| ~ aElementOf0(X2,xI)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_27]),c_0_7]),c_0_9])]) ).
cnf(c_0_72,hypothesis,
aElementOf0(esk2_1(sdtasasdt0(xI,xJ)),xI),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_63]),c_0_29]),c_0_9])]),c_0_64]) ).
cnf(c_0_73,plain,
( aIdeal0(sdtasasdt0(X1,sdtasasdt0(X2,X3)))
| aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,sdtasasdt0(X2,X3))),X4),X2)
| ~ aIdeal0(sdtasasdt0(X2,X3))
| ~ aElementOf0(X4,X2)
| ~ aElementOf0(X4,X3)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_50]),c_0_6]) ).
cnf(c_0_74,hypothesis,
aElementOf0(esk2_1(sdtasasdt0(xI,xJ)),sdtasasdt0(xI,xJ)),
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_38,c_0_67]),c_0_34]),c_0_9]),c_0_68])]),c_0_64]) ).
cnf(c_0_75,hypothesis,
~ aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(xI,xJ)),esk2_1(sdtasasdt0(xI,xJ))),xJ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_34])]),c_0_64]) ).
cnf(c_0_76,hypothesis,
( aIdeal0(sdtasasdt0(X1,xJ))
| aElementOf0(sdtpldt0(esk1_1(sdtasasdt0(X1,xJ)),X2),xJ)
| ~ aElementOf0(X2,xJ)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_58]),c_0_29]),c_0_34])]) ).
cnf(c_0_77,hypothesis,
aElementOf0(esk2_1(sdtasasdt0(xI,xJ)),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_74]),c_0_9]),c_0_34])]) ).
cnf(c_0_78,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_9])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG093+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n018.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 : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 19:04:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/23.41 eprover: CPU time limit exceeded, terminating
% 0.35/23.42 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.35/23.42
% 0.35/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/24.55 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.36/24.55
% 0.36/24.55 # Failure: Resource limit exceeded (time)
% 0.36/24.55 # OLD status Res
% 0.36/24.55 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.36/24.55 # Preprocessing time : 0.016 s
% 0.36/24.55 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.36/24.55 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.36/24.55 # Preprocessing time : 0.008 s
% 0.36/24.55
% 0.36/24.55 # Proof found!
% 0.36/24.55 # SZS status Theorem
% 0.36/24.55 # SZS output start CNFRefutation
% See solution above
% 0.36/24.55 # Proof object total steps : 79
% 0.36/24.55 # Proof object clause steps : 71
% 0.36/24.55 # Proof object formula steps : 8
% 0.36/24.55 # Proof object conjectures : 4
% 0.36/24.55 # Proof object clause conjectures : 1
% 0.36/24.55 # Proof object formula conjectures : 3
% 0.36/24.55 # Proof object initial clauses used : 17
% 0.36/24.55 # Proof object initial formulas used : 4
% 0.36/24.55 # Proof object generating inferences : 54
% 0.36/24.55 # Proof object simplifying inferences : 90
% 0.36/24.55 # Training examples: 0 positive, 0 negative
% 0.36/24.55 # Parsed axioms : 27
% 0.36/24.55 # Removed by relevancy pruning/SinE : 23
% 0.36/24.55 # Initial clauses : 18
% 0.36/24.55 # Removed in clause preprocessing : 0
% 0.36/24.55 # Initial clauses in saturation : 18
% 0.36/24.55 # Processed clauses : 1563
% 0.36/24.55 # ...of these trivial : 7
% 0.36/24.55 # ...subsumed : 686
% 0.36/24.55 # ...remaining for further processing : 870
% 0.36/24.55 # Other redundant clauses eliminated : 0
% 0.36/24.55 # Clauses deleted for lack of memory : 0
% 0.36/24.55 # Backward-subsumed : 67
% 0.36/24.55 # Backward-rewritten : 8
% 0.36/24.55 # Generated clauses : 5050
% 0.36/24.55 # ...of the previous two non-trivial : 3881
% 0.36/24.55 # Contextual simplify-reflections : 689
% 0.36/24.55 # Paramodulations : 5009
% 0.36/24.55 # Factorizations : 0
% 0.36/24.55 # Equation resolutions : 41
% 0.36/24.55 # Current number of processed clauses : 795
% 0.36/24.55 # Positive orientable unit clauses : 12
% 0.36/24.55 # Positive unorientable unit clauses: 0
% 0.36/24.55 # Negative unit clauses : 2
% 0.36/24.55 # Non-unit-clauses : 781
% 0.36/24.55 # Current number of unprocessed clauses: 2115
% 0.36/24.55 # ...number of literals in the above : 21752
% 0.36/24.55 # Current number of archived formulas : 0
% 0.36/24.55 # Current number of archived clauses : 75
% 0.36/24.55 # Clause-clause subsumption calls (NU) : 299242
% 0.36/24.55 # Rec. Clause-clause subsumption calls : 53638
% 0.36/24.55 # Non-unit clause-clause subsumptions : 1413
% 0.36/24.55 # Unit Clause-clause subsumption calls : 252
% 0.36/24.55 # Rewrite failures with RHS unbound : 0
% 0.36/24.55 # BW rewrite match attempts : 15
% 0.36/24.55 # BW rewrite match successes : 6
% 0.36/24.55 # Condensation attempts : 0
% 0.36/24.55 # Condensation successes : 0
% 0.36/24.55 # Termbank termtop insertions : 195285
% 0.36/24.55
% 0.36/24.55 # -------------------------------------------------
% 0.36/24.55 # User time : 0.172 s
% 0.36/24.55 # System time : 0.003 s
% 0.36/24.55 # Total time : 0.175 s
% 0.36/24.55 # Maximum resident set size: 8004 pages
%------------------------------------------------------------------------------