%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : RNG093+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.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 : 300s
% DateTime : Tue May 5 05:05:18 PM UTC 2026
% Result : Theorem 11.86s 7.41s
% Output : CNFRefutation 11.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 61 ( 10 unt; 0 def)
% Number of atoms : 279 ( 18 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 388 ( 170 ~; 192 |; 19 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 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 : 97 ( 0 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/sandbox/benchmark/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/sandbox/benchmark/theBenchmark.p',mDefSInt) ).
fof(m__1150,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1150) ).
fof(m__,conjecture,
aIdeal0(sdtasasdt0(xI,xJ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_4,plain,
! [X109,X110,X111,X112,X113] :
( ( aSet0(X109)
| ~ aIdeal0(X109) )
& ( ~ aElementOf0(X111,X109)
| aElementOf0(sdtpldt0(X110,X111),X109)
| ~ aElementOf0(X110,X109)
| ~ aIdeal0(X109) )
& ( ~ aElement0(X112)
| aElementOf0(sdtasdt0(X112,X110),X109)
| ~ aElementOf0(X110,X109)
| ~ aIdeal0(X109) )
& ( aElementOf0(esk9_1(X113),X113)
| ~ aSet0(X113)
| aIdeal0(X113) )
& ( aElement0(esk11_1(X113))
| aElementOf0(esk10_1(X113),X113)
| ~ aSet0(X113)
| aIdeal0(X113) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X113),esk9_1(X113)),X113)
| aElementOf0(esk10_1(X113),X113)
| ~ aSet0(X113)
| aIdeal0(X113) )
& ( aElement0(esk11_1(X113))
| ~ aElementOf0(sdtpldt0(esk9_1(X113),esk10_1(X113)),X113)
| ~ aSet0(X113)
| aIdeal0(X113) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X113),esk9_1(X113)),X113)
| ~ aElementOf0(sdtpldt0(esk9_1(X113),esk10_1(X113)),X113)
| ~ aSet0(X113)
| aIdeal0(X113) ) ),
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])])])])])]) ).
fof(c_0_5,plain,
! [X102,X103,X104,X105,X106,X107] :
( ( aSet0(X104)
| X104 != sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) )
& ( aElementOf0(X105,X102)
| ~ aElementOf0(X105,X104)
| X104 != sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) )
& ( aElementOf0(X105,X103)
| ~ aElementOf0(X105,X104)
| X104 != sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) )
& ( ~ aElementOf0(X106,X102)
| ~ aElementOf0(X106,X103)
| aElementOf0(X106,X104)
| X104 != sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) )
& ( ~ aElementOf0(esk8_3(X102,X103,X107),X107)
| ~ aElementOf0(esk8_3(X102,X103,X107),X102)
| ~ aElementOf0(esk8_3(X102,X103,X107),X103)
| ~ aSet0(X107)
| X107 = sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) )
& ( aElementOf0(esk8_3(X102,X103,X107),X102)
| aElementOf0(esk8_3(X102,X103,X107),X107)
| ~ aSet0(X107)
| X107 = sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) )
& ( aElementOf0(esk8_3(X102,X103,X107),X103)
| aElementOf0(esk8_3(X102,X103,X107),X107)
| ~ aSet0(X107)
| X107 = sdtasasdt0(X102,X103)
| ~ aSet0(X102)
| ~ aSet0(X103) ) ),
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)],[mDefSInt])])])])])]) ).
cnf(c_0_6,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[m__1150]) ).
cnf(c_0_8,plain,
( aElementOf0(esk8_3(X1,X2,X3),X2)
| aElementOf0(esk8_3(X1,X2,X3),X3)
| X3 = sdtasasdt0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X4,X2)
| ~ aSet0(X4)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( aSet0(X1)
| X1 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
( xJ = sdtasasdt0(X1,X2)
| aElementOf0(esk8_3(X1,X2,xJ),xJ)
| aElementOf0(esk8_3(X1,X2,xJ),X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtasasdt0(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X3,X2))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( aSet0(sdtasasdt0(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( X3 = sdtasasdt0(X1,X2)
| ~ aElementOf0(esk8_3(X1,X2,X3),X3)
| ~ aElementOf0(esk8_3(X1,X2,X3),X1)
| ~ aElementOf0(esk8_3(X1,X2,X3),X2)
| ~ aSet0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,hypothesis,
( sdtasasdt0(X1,xJ) = xJ
| aElementOf0(esk8_3(X1,xJ,xJ),xJ)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_19,plain,
( aElementOf0(X1,X4)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X4 != sdtasasdt0(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk9_1(sdtasasdt0(X1,X2)),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_22,hypothesis,
( sdtasasdt0(X1,xJ) = xJ
| ~ aElementOf0(esk8_3(X1,xJ,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_18]),c_0_9])]),c_0_18]) ).
cnf(c_0_23,plain,
( aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( aElementOf0(X1,sdtasasdt0(X2,X3))
| ~ aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
( aIdeal0(sdtasasdt0(X1,sdtasasdt0(X2,X3)))
| aElementOf0(esk9_1(sdtasasdt0(X1,sdtasasdt0(X2,X3))),X2)
| ~ aSet0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16]) ).
cnf(c_0_27,hypothesis,
sdtasasdt0(xJ,xJ) = xJ,
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(sdtasdt0(esk11_1(sdtasasdt0(X1,X2)),esk9_1(sdtasasdt0(X1,X2))),sdtasasdt0(X1,X2))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X2)
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_16]) ).
cnf(c_0_29,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X2,xJ) ),
inference(spm,[status(thm)],[c_0_25,c_0_7]) ).
cnf(c_0_30,hypothesis,
( aIdeal0(sdtasasdt0(X1,xJ))
| aElementOf0(esk9_1(sdtasasdt0(X1,xJ)),xJ)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_9])]) ).
cnf(c_0_31,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__1150]) ).
fof(c_0_32,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_33,plain,
( aElement0(esk11_1(X1))
| aIdeal0(X1)
| ~ aElementOf0(sdtpldt0(esk9_1(X1),esk10_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_34,hypothesis,
( aIdeal0(sdtasasdt0(X1,xJ))
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(X1,xJ)),esk9_1(sdtasasdt0(X1,xJ))),sdtasasdt0(X1,xJ))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,xJ)),esk10_1(sdtasasdt0(X1,xJ))),X1)
| ~ aElementOf0(esk10_1(sdtasasdt0(X1,xJ)),xJ)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_9])]),c_0_30]) ).
cnf(c_0_35,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xI) ),
inference(spm,[status(thm)],[c_0_25,c_0_31]) ).
cnf(c_0_36,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_6,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
~ aIdeal0(sdtasasdt0(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,plain,
( aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aElementOf0(sdtasdt0(esk11_1(X1),esk9_1(X1)),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElement0(esk11_1(sdtasasdt0(X1,X2)))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X2)
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,X2)),esk10_1(sdtasasdt0(X1,X2))),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_24]),c_0_16]) ).
cnf(c_0_40,hypothesis,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| ~ aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),xI) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_41,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk10_1(sdtasasdt0(X1,X2)),X2)
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(X1,X2)),esk9_1(sdtasasdt0(X1,X2))),sdtasasdt0(X1,X2))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_38]),c_0_16]) ).
cnf(c_0_42,hypothesis,
( aIdeal0(sdtasasdt0(X1,xJ))
| aElement0(esk11_1(sdtasasdt0(X1,xJ)))
| ~ aElementOf0(sdtpldt0(esk9_1(sdtasasdt0(X1,xJ)),esk10_1(sdtasasdt0(X1,xJ))),X1)
| ~ aElementOf0(esk10_1(sdtasasdt0(X1,xJ)),xJ)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_29]),c_0_9])]),c_0_30]) ).
cnf(c_0_43,plain,
( aElement0(esk11_1(X1))
| aElementOf0(esk10_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,hypothesis,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(esk10_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_40,c_0_41]),c_0_36]),c_0_9])]),c_0_37]) ).
cnf(c_0_45,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk10_1(sdtasasdt0(X1,X2)),X1)
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(X1,X2)),esk9_1(sdtasasdt0(X1,X2))),sdtasasdt0(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_38]),c_0_16]) ).
cnf(c_0_46,hypothesis,
( aElement0(esk11_1(sdtasasdt0(xI,xJ)))
| ~ aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),xJ)
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(esk10_1(sdtasasdt0(xI,xJ)),xI) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_47,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk10_1(sdtasasdt0(X1,X2)),X2)
| aElement0(esk11_1(sdtasasdt0(X1,X2)))
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_43]),c_0_16]) ).
cnf(c_0_48,hypothesis,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),sdtasasdt0(xI,xJ))
| ~ aElementOf0(esk9_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_44,c_0_45]),c_0_9]),c_0_36])]),c_0_37]) ).
cnf(c_0_49,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_50,hypothesis,
( aElement0(esk11_1(sdtasasdt0(xI,xJ)))
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(esk10_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_46,c_0_47]),c_0_36]),c_0_9])]),c_0_37]) ).
cnf(c_0_51,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk10_1(sdtasasdt0(X1,X2)),X1)
| aElement0(esk11_1(sdtasasdt0(X1,X2)))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_43]),c_0_16]) ).
cnf(c_0_52,hypothesis,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),xJ)
| ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),xI)
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_24]),c_0_9]),c_0_36])]) ).
cnf(c_0_53,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xJ)
| ~ aElementOf0(X2,xJ)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_7]) ).
cnf(c_0_54,hypothesis,
( aElement0(esk11_1(sdtasasdt0(xI,xJ)))
| ~ aElementOf0(esk9_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_50,c_0_51]),c_0_9]),c_0_36])]),c_0_37]) ).
cnf(c_0_55,hypothesis,
( ~ aElementOf0(sdtasdt0(esk11_1(sdtasasdt0(xI,xJ)),esk9_1(sdtasasdt0(xI,xJ))),xI)
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xJ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_56,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElementOf0(X2,xI)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_31]) ).
cnf(c_0_57,hypothesis,
( ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xI)
| ~ aElementOf0(esk9_1(sdtasasdt0(xI,xJ)),xJ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_54]) ).
cnf(c_0_58,hypothesis,
~ aElementOf0(esk9_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_57,c_0_21]),c_0_36]),c_0_9])]),c_0_37]) ).
cnf(c_0_59,plain,
( aIdeal0(sdtasasdt0(X1,X2))
| aElementOf0(esk9_1(sdtasasdt0(X1,X2)),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_16]) ).
cnf(c_0_60,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_9]),c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG093+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n020.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 01:50:05 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 11.86/7.41 % Version : CSE_E---1.7
% 11.86/7.41 % Problem : theBenchmark.p
% 11.86/7.41 % SZS status Theorem for theBenchmark.p
% 11.86/7.41 % SZS output start CNFRefutation
% See solution above
% 11.86/7.46 % Total time : 5.373s
%------------------------------------------------------------------------------