TSTP Solution File: RNG100+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG100+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 13:49:09 EDT 2023
% Result : Theorem 23.01s 23.16s
% Output : CNFRefutation 23.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 66
% Syntax : Number of formulae : 198 ( 40 unt; 45 typ; 0 def)
% Number of atoms : 525 ( 119 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 624 ( 252 ~; 271 |; 66 &)
% ( 7 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 81 ( 39 >; 42 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 6 con; 0-4 aty)
% Number of variables : 220 ( 0 sgn; 94 !; 5 ?; 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,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
aNaturalNumber0: $i > $o ).
tff(decl_35,type,
sbrdtbr0: $i > $i ).
tff(decl_36,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_37,type,
doDivides0: ( $i * $i ) > $o ).
tff(decl_38,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(decl_39,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff(decl_41,type,
slsdtgt0: $i > $i ).
tff(decl_42,type,
xc: $i ).
tff(decl_43,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk9_1: $i > $i ).
tff(decl_52,type,
esk10_1: $i > $i ).
tff(decl_53,type,
esk11_1: $i > $i ).
tff(decl_54,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk21_1: $i > $i ).
tff(decl_64,type,
esk22_0: $i ).
tff(decl_65,type,
esk23_0: $i ).
tff(decl_66,type,
esk24_0: $i ).
fof(m__,conjecture,
( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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/benchmark/theBenchmark.p',mDefIdeal) ).
fof(mDefSSum,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
fof(mDefPrIdeal,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( X2 = slsdtgt0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( aElement0(X4)
& sdtasdt0(X1,X4) = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
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/benchmark/theBenchmark.p',mAddAsso) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
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/benchmark/theBenchmark.p',mAMDistr) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(c_0_21,negated_conjecture,
~ ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_22,negated_conjecture,
! [X110,X112,X113] :
( aSet0(slsdtgt0(xc))
& ( aElement0(esk21_1(X110))
| ~ aElementOf0(X110,slsdtgt0(xc)) )
& ( sdtasdt0(xc,esk21_1(X110)) = X110
| ~ aElementOf0(X110,slsdtgt0(xc)) )
& ( ~ aElement0(X113)
| sdtasdt0(xc,X113) != X112
| aElementOf0(X112,slsdtgt0(xc)) )
& aElementOf0(esk22_0,slsdtgt0(xc))
& ( aElement0(esk24_0)
| aElementOf0(esk23_0,slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc))
| aElementOf0(esk23_0,slsdtgt0(xc)) )
& ( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc)) ),
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)],[c_0_21])])])])])]) ).
fof(c_0_23,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_24,plain,
! [X38,X39,X40,X41,X44,X45,X46,X47,X49,X50] :
( ( aSet0(X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk3_4(X38,X39,X40,X41),X38)
| ~ aElementOf0(X41,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk4_4(X38,X39,X40,X41),X39)
| ~ aElementOf0(X41,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( sdtpldt0(esk3_4(X38,X39,X40,X41),esk4_4(X38,X39,X40,X41)) = X41
| ~ aElementOf0(X41,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( ~ aElementOf0(X45,X38)
| ~ aElementOf0(X46,X39)
| sdtpldt0(X45,X46) != X44
| aElementOf0(X44,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( ~ aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aElementOf0(X49,X38)
| ~ aElementOf0(X50,X39)
| sdtpldt0(X49,X50) != esk5_3(X38,X39,X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk6_3(X38,X39,X47),X38)
| aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk7_3(X38,X39,X47),X39)
| aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( sdtpldt0(esk6_3(X38,X39,X47),esk7_3(X38,X39,X47)) = esk5_3(X38,X39,X47)
| aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) ) ),
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)],[mDefSSum])])])])])]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1)
| sdtasdt0(xc,X1) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( sdtasdt0(xc,esk21_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( aElementOf0(esk9_1(X1),X1)
| aIdeal0(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( aElement0(esk21_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( aElementOf0(X5,X6)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X4)
| sdtpldt0(X1,X3) != X5
| X6 != sdtpldt1(X2,X4)
| ~ aSet0(X2)
| ~ aSet0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( aElementOf0(sdtasdt0(xc,X1),slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
sdtasdt0(xc,esk21_1(esk9_1(slsdtgt0(xc)))) = esk9_1(slsdtgt0(xc)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
aElement0(esk21_1(esk9_1(slsdtgt0(xc)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_28])]),c_0_29]) ).
fof(c_0_35,plain,
! [X100,X101,X102,X104,X105,X106,X108] :
( ( aSet0(X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( aElement0(esk18_3(X100,X101,X102))
| ~ aElementOf0(X102,X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( sdtasdt0(X100,esk18_3(X100,X101,X102)) = X102
| ~ aElementOf0(X102,X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( ~ aElement0(X105)
| sdtasdt0(X100,X105) != X104
| aElementOf0(X104,X101)
| X101 != slsdtgt0(X100)
| ~ aElement0(X100) )
& ( ~ aElementOf0(esk19_2(X100,X106),X106)
| ~ aElement0(X108)
| sdtasdt0(X100,X108) != esk19_2(X100,X106)
| ~ aSet0(X106)
| X106 = slsdtgt0(X100)
| ~ aElement0(X100) )
& ( aElement0(esk20_2(X100,X106))
| aElementOf0(esk19_2(X100,X106),X106)
| ~ aSet0(X106)
| X106 = slsdtgt0(X100)
| ~ aElement0(X100) )
& ( sdtasdt0(X100,esk20_2(X100,X106)) = esk19_2(X100,X106)
| aElementOf0(esk19_2(X100,X106),X106)
| ~ aSet0(X106)
| X106 = slsdtgt0(X100)
| ~ aElement0(X100) ) ),
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)],[mDefPrIdeal])])])])])]) ).
cnf(c_0_36,plain,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))
| ~ aElementOf0(X2,X4)
| ~ aElementOf0(X1,X3)
| ~ aSet0(X4)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])]) ).
cnf(c_0_37,negated_conjecture,
aElementOf0(esk9_1(slsdtgt0(xc)),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_38,plain,
( aElementOf0(X3,X4)
| ~ aElement0(X1)
| sdtasdt0(X2,X1) != X3
| X4 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_40,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_41,negated_conjecture,
( aElementOf0(sdtpldt0(X1,esk9_1(slsdtgt0(xc))),sdtpldt1(X2,slsdtgt0(xc)))
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_28])]) ).
cnf(c_0_42,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X1))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_38])]) ).
cnf(c_0_43,plain,
( aSet0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_39]) ).
cnf(c_0_44,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(sdtpldt0(sdtasdt0(X1,X2),esk9_1(slsdtgt0(xc))),sdtpldt1(slsdtgt0(X1),slsdtgt0(xc)))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_46,plain,
( aSet0(X1)
| X1 != sdtpldt1(X2,X3)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_47,negated_conjecture,
( aElement0(sdtpldt0(sdtasdt0(X1,X2),esk9_1(slsdtgt0(xc))))
| ~ aSet0(sdtpldt1(slsdtgt0(X1),slsdtgt0(xc)))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( aSet0(sdtpldt1(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_46]) ).
fof(c_0_49,plain,
! [X24] :
( ( sdtasdt0(X24,sz10) = X24
| ~ aElement0(X24) )
& ( X24 = sdtasdt0(sz10,X24)
| ~ aElement0(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
fof(c_0_50,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_51,negated_conjecture,
( aElement0(sdtpldt0(sdtasdt0(X1,X2),esk9_1(slsdtgt0(xc))))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_28])]),c_0_43]) ).
cnf(c_0_52,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_53,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_54,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])]) ).
cnf(c_0_55,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__1905]) ).
fof(c_0_57,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_58,negated_conjecture,
( aElement0(sdtpldt0(X1,esk9_1(slsdtgt0(xc))))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_59,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
aElement0(esk9_1(slsdtgt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_33]),c_0_34]),c_0_56])]) ).
cnf(c_0_61,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_62,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_63,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtpldt0(X2,esk9_1(slsdtgt0(xc)))))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),c_0_61]) ).
cnf(c_0_64,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_65,plain,
! [X7] :
( ~ aElement0(X7)
| aElement0(smndt0(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(c_0_66,negated_conjecture,
( aElement0(sdtpldt0(X1,sz00))
| ~ aElement0(smndt0(esk9_1(slsdtgt0(xc))))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_60])]) ).
cnf(c_0_67,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_68,plain,
! [X19,X20] :
( ~ aElement0(X19)
| ~ aElement0(X20)
| sdtasdt0(X19,X20) = sdtasdt0(X20,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(c_0_69,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_70,negated_conjecture,
( aElement0(sdtpldt0(X1,sz00))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_60])]) ).
cnf(c_0_71,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_72,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])])]) ).
cnf(c_0_73,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,negated_conjecture,
aElementOf0(esk22_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_75,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtpldt0(X2,sz00)))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_59]),c_0_71])]),c_0_61]) ).
cnf(c_0_77,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,plain,
( sdtasdt0(X1,esk18_3(X1,X2,X3)) = X3
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_79,plain,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
sdtasdt0(xc,esk21_1(esk22_0)) = esk22_0,
inference(spm,[status(thm)],[c_0_26,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
aElement0(esk21_1(esk22_0)),
inference(spm,[status(thm)],[c_0_30,c_0_74]) ).
cnf(c_0_82,plain,
( aElement0(esk18_3(X1,X2,X3))
| ~ aElementOf0(X3,X2)
| X2 != slsdtgt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_83,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])])]) ).
fof(c_0_84,plain,
! [X21,X22,X23] :
( ~ aElement0(X21)
| ~ aElement0(X22)
| ~ aElement0(X23)
| sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_85,plain,
( sdtpldt0(sdtasdt0(X1,smndt0(sz10)),X1) = sz00
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtpldt0(X2,sdtpldt0(X3,sz00))))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_59]),c_0_71])]),c_0_61]) ).
fof(c_0_87,plain,
! [X25,X26,X27] :
( ( sdtasdt0(X25,sdtpldt0(X26,X27)) = sdtpldt0(sdtasdt0(X25,X26),sdtasdt0(X25,X27))
| ~ aElement0(X25)
| ~ aElement0(X26)
| ~ aElement0(X27) )
& ( sdtasdt0(sdtpldt0(X26,X27),X25) = sdtpldt0(sdtasdt0(X26,X25),sdtasdt0(X27,X25))
| ~ aElement0(X25)
| ~ aElement0(X26)
| ~ aElement0(X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
cnf(c_0_88,plain,
( smndt0(sz00) = sz00
| ~ aElement0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_64]),c_0_71])]) ).
cnf(c_0_89,plain,
( sdtasdt0(X1,esk18_3(X1,slsdtgt0(X1),X2)) = X2
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_78]) ).
cnf(c_0_90,negated_conjecture,
aElementOf0(esk22_0,slsdtgt0(esk21_1(esk22_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_56])]) ).
cnf(c_0_91,plain,
( aElement0(esk18_3(X1,slsdtgt0(X1),X2))
| ~ aElementOf0(X2,slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_92,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_94,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_95,plain,
( sdtpldt0(smndt0(sz10),sz10) = sz00
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_52]),c_0_53])]) ).
cnf(c_0_96,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_77]) ).
cnf(c_0_97,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_67]),c_0_71])]) ).
cnf(c_0_99,negated_conjecture,
sdtasdt0(esk21_1(esk22_0),esk18_3(esk21_1(esk22_0),slsdtgt0(esk21_1(esk22_0)),esk22_0)) = esk22_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_81])]) ).
cnf(c_0_100,negated_conjecture,
aElement0(esk18_3(esk21_1(esk22_0),slsdtgt0(esk21_1(esk22_0)),esk22_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_81])]) ).
cnf(c_0_101,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_71])]),c_0_55]) ).
cnf(c_0_102,negated_conjecture,
( sdtasdt0(xc,sdtasdt0(esk21_1(esk22_0),X1)) = sdtasdt0(esk22_0,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_80]),c_0_81]),c_0_56])]) ).
cnf(c_0_103,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_94]),c_0_67]) ).
cnf(c_0_104,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_67]),c_0_53])]) ).
cnf(c_0_105,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtasdt0(X2,sdtpldt0(X3,X4))))
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_55]),c_0_55]) ).
cnf(c_0_106,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_98]),c_0_71])]) ).
cnf(c_0_107,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_108,negated_conjecture,
( sdtasdt0(esk21_1(esk22_0),sdtasdt0(esk18_3(esk21_1(esk22_0),slsdtgt0(esk21_1(esk22_0)),esk22_0),X1)) = sdtasdt0(esk22_0,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_99]),c_0_100]),c_0_81])]) ).
cnf(c_0_109,negated_conjecture,
sdtasdt0(esk22_0,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_81]),c_0_56]),c_0_71])]) ).
cnf(c_0_110,plain,
sdtpldt0(sz10,sz00) = sdtpldt0(sz00,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_53])]) ).
cnf(c_0_111,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtasdt0(X2,sz00)))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_71])]) ).
cnf(c_0_112,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_107]),c_0_53])]) ).
cnf(c_0_113,negated_conjecture,
sdtasdt0(esk21_1(esk22_0),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_92]),c_0_109]),c_0_71]),c_0_100])]) ).
cnf(c_0_114,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_110]),c_0_53])]) ).
cnf(c_0_115,negated_conjecture,
( aElement0(esk24_0)
| aElementOf0(esk23_0,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_116,negated_conjecture,
( aElement0(sdtpldt0(X1,sdtasdt0(sz00,X2)))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_73]),c_0_71])]) ).
cnf(c_0_117,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_118,plain,
! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| sdtpldt0(X12,X13) = sdtpldt0(X13,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_119,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_120,negated_conjecture,
sdtpldt0(sz00,esk21_1(esk22_0)) = sdtasdt0(esk21_1(esk22_0),sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_71]),c_0_81])]) ).
cnf(c_0_121,negated_conjecture,
( sdtpldt0(sdtasdt0(xc,X1),esk22_0) = sdtasdt0(xc,sdtpldt0(X1,esk21_1(esk22_0)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_80]),c_0_81]),c_0_56])]) ).
cnf(c_0_122,negated_conjecture,
( sdtasdt0(xc,esk21_1(esk23_0)) = esk23_0
| aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( aElement0(esk21_1(esk23_0))
| aElement0(esk24_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
( aElement0(sdtasdt0(sdtpldt0(X1,sz00),X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_71])]),c_0_55]) ).
cnf(c_0_125,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,negated_conjecture,
sdtasdt0(esk21_1(esk22_0),sz10) = esk21_1(esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_81])]) ).
cnf(c_0_127,negated_conjecture,
( sdtasdt0(xc,sdtpldt0(esk21_1(esk23_0),esk21_1(esk22_0))) = sdtpldt0(esk23_0,esk22_0)
| aElement0(esk24_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_128,negated_conjecture,
( aElement0(sdtasdt0(sdtpldt0(sz00,X1),X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_71])]) ).
cnf(c_0_129,negated_conjecture,
sdtpldt0(sz00,esk21_1(esk22_0)) = esk21_1(esk22_0),
inference(rw,[status(thm)],[c_0_120,c_0_126]) ).
cnf(c_0_130,negated_conjecture,
( aElementOf0(sdtpldt0(esk23_0,esk22_0),slsdtgt0(xc))
| aElement0(esk24_0)
| ~ aElement0(sdtpldt0(esk21_1(esk23_0),esk21_1(esk22_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_127]),c_0_56])]) ).
cnf(c_0_131,negated_conjecture,
( aElementOf0(esk23_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_132,negated_conjecture,
aElement0(esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_74]),c_0_28])]) ).
cnf(c_0_133,negated_conjecture,
( aElement0(sdtasdt0(esk21_1(esk22_0),X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_81])]) ).
cnf(c_0_134,negated_conjecture,
( aElementOf0(sdtpldt0(esk23_0,esk22_0),slsdtgt0(xc))
| aElement0(esk24_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_61]),c_0_81])]),c_0_123]) ).
cnf(c_0_135,negated_conjecture,
( aElement0(esk24_0)
| aElement0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_115]),c_0_28])]) ).
cnf(c_0_136,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_137,negated_conjecture,
( aElementOf0(esk23_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk22_0,esk24_0),slsdtgt0(xc)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_73]),c_0_132])]),c_0_115]) ).
cnf(c_0_138,negated_conjecture,
( aElementOf0(sdtasdt0(esk22_0,X1),slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_102]),c_0_56])]),c_0_133]) ).
cnf(c_0_139,negated_conjecture,
aElement0(esk24_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_125]),c_0_132])]),c_0_135]),c_0_136]) ).
cnf(c_0_140,negated_conjecture,
aElementOf0(esk23_0,slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).
cnf(c_0_141,negated_conjecture,
sdtasdt0(xc,esk21_1(esk23_0)) = esk23_0,
inference(spm,[status(thm)],[c_0_26,c_0_140]) ).
cnf(c_0_142,negated_conjecture,
aElement0(esk21_1(esk23_0)),
inference(spm,[status(thm)],[c_0_30,c_0_140]) ).
cnf(c_0_143,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X2))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_97]),c_0_55]),c_0_55]) ).
cnf(c_0_144,negated_conjecture,
sdtasdt0(xc,sdtpldt0(esk21_1(esk23_0),esk21_1(esk22_0))) = sdtpldt0(esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_141]),c_0_142])]) ).
cnf(c_0_145,negated_conjecture,
sdtpldt0(esk23_0,esk22_0) = sdtpldt0(esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_80]),c_0_141]),c_0_81]),c_0_142]),c_0_56])]) ).
cnf(c_0_146,negated_conjecture,
sdtasdt0(xc,sdtpldt0(esk21_1(esk23_0),esk21_1(esk22_0))) = sdtpldt0(esk22_0,esk23_0),
inference(rw,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_147,negated_conjecture,
( aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc))
| ~ aElement0(sdtpldt0(esk21_1(esk23_0),esk21_1(esk22_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_146]),c_0_56])]) ).
cnf(c_0_148,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_149,negated_conjecture,
aElementOf0(sdtpldt0(esk22_0,esk23_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_61]),c_0_81]),c_0_142])]) ).
cnf(c_0_150,negated_conjecture,
~ aElementOf0(sdtasdt0(esk24_0,esk22_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).
cnf(c_0_151,negated_conjecture,
~ aElementOf0(sdtasdt0(esk22_0,esk24_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_73]),c_0_132]),c_0_139])]) ).
cnf(c_0_152,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_138]),c_0_139])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG100+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sun Aug 27 02:32:53 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.55 start to proof: theBenchmark
% 23.01/23.16 % Version : CSE_E---1.5
% 23.01/23.16 % Problem : theBenchmark.p
% 23.01/23.16 % Proof found
% 23.01/23.16 % SZS status Theorem for theBenchmark.p
% 23.01/23.16 % SZS output start Proof
% See solution above
% 23.01/23.18 % Total time : 22.601000 s
% 23.01/23.18 % SZS output end Proof
% 23.01/23.18 % Total time : 22.606000 s
%------------------------------------------------------------------------------