TSTP Solution File: RNG093+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG093+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.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 : Thu Aug 31 13:49:05 EDT 2023
% Result : Theorem 1.59s 1.67s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 85 ( 10 unt; 24 typ; 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 types : 2 ( 0 usr)
% Number of type conns : 41 ( 20 >; 21 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-4 aty)
% Number of variables : 97 ( 0 sgn; 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aElement0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
smndt0: $i > $i ).
tff(decl_26,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_28,type,
aSet0: $i > $o ).
tff(decl_29,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_30,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(decl_31,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_32,type,
aIdeal0: $i > $o ).
tff(decl_33,type,
xI: $i ).
tff(decl_34,type,
xJ: $i ).
tff(decl_35,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk9_1: $i > $i ).
tff(decl_44,type,
esk10_1: $i > $i ).
tff(decl_45,type,
esk11_1: $i > $i ).
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,
! [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])])])])])]) ).
fof(c_0_5,plain,
! [X53,X54,X55,X56,X57,X58] :
( ( aSet0(X55)
| X55 != sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) )
& ( aElementOf0(X56,X53)
| ~ aElementOf0(X56,X55)
| X55 != sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) )
& ( aElementOf0(X56,X54)
| ~ aElementOf0(X56,X55)
| X55 != sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) )
& ( ~ aElementOf0(X57,X53)
| ~ aElementOf0(X57,X54)
| aElementOf0(X57,X55)
| X55 != sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) )
& ( ~ aElementOf0(esk8_3(X53,X54,X58),X58)
| ~ aElementOf0(esk8_3(X53,X54,X58),X53)
| ~ aElementOf0(esk8_3(X53,X54,X58),X54)
| ~ aSet0(X58)
| X58 = sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) )
& ( aElementOf0(esk8_3(X53,X54,X58),X53)
| aElementOf0(esk8_3(X53,X54,X58),X58)
| ~ aSet0(X58)
| X58 = sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) )
& ( aElementOf0(esk8_3(X53,X54,X58),X54)
| aElementOf0(esk8_3(X53,X54,X58),X58)
| ~ aSet0(X58)
| X58 = sdtasasdt0(X53,X54)
| ~ aSet0(X53)
| ~ aSet0(X54) ) ),
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 v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 02:40:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 1.59/1.67 % Version : CSE_E---1.5
% 1.59/1.67 % Problem : theBenchmark.p
% 1.59/1.67 % Proof found
% 1.59/1.67 % SZS status Theorem for theBenchmark.p
% 1.59/1.67 % SZS output start Proof
% See solution above
% 1.59/1.68 % Total time : 1.114000 s
% 1.59/1.68 % SZS output end Proof
% 1.59/1.68 % Total time : 1.118000 s
%------------------------------------------------------------------------------