TSTP Solution File: RNG094+2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG094+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 : n028.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 13:49:06 EDT 2023
% Result : Theorem 248.75s 248.61s
% Output : CNFRefutation 248.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 45
% Syntax : Number of formulae : 107 ( 13 unt; 29 typ; 0 def)
% Number of atoms : 275 ( 29 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 334 ( 137 ~; 127 |; 49 &)
% ( 1 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 23 >; 23 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 109 ( 1 sgn; 52 !; 4 ?; 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,
xI: $i ).
tff(decl_35,type,
xJ: $i ).
tff(decl_36,type,
xx: $i ).
tff(decl_37,type,
xy: $i ).
tff(decl_38,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_39,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
esk9_1: $i > $i ).
tff(decl_47,type,
esk10_1: $i > $i ).
tff(decl_48,type,
esk11_1: $i > $i ).
tff(decl_49,type,
esk12_1: $i > $i ).
tff(decl_50,type,
esk13_1: $i > $i ).
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& ( aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X1,xx,xI) )
& ( aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| sdteqdtlpzmzozddtrp0(X1,xy,xJ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(m__1217,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
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(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(m__1205,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(m__1205_03,hypothesis,
! [X1] :
( aElement0(X1)
=> ( ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 )
& aElementOf0(X1,sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
fof(c_0_16,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& ( aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| sdteqdtlpzmzozddtrp0(X1,xx,xI) )
& ( aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| sdteqdtlpzmzozddtrp0(X1,xy,xJ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,negated_conjecture,
! [X84] :
( ( ~ aElementOf0(sdtpldt0(X84,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X84,smndt0(xx)),xI)
| ~ aElement0(X84) )
& ( ~ sdteqdtlpzmzozddtrp0(X84,xy,xJ)
| ~ aElementOf0(sdtpldt0(X84,smndt0(xx)),xI)
| ~ aElement0(X84) )
& ( ~ aElementOf0(sdtpldt0(X84,smndt0(xy)),xJ)
| ~ sdteqdtlpzmzozddtrp0(X84,xx,xI)
| ~ aElement0(X84) )
& ( ~ sdteqdtlpzmzozddtrp0(X84,xy,xJ)
| ~ sdteqdtlpzmzozddtrp0(X84,xx,xI)
| ~ aElement0(X84) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_18,plain,
! [X14,X15,X16] :
( ~ aElement0(X14)
| ~ aElement0(X15)
| ~ aElement0(X16)
| sdtpldt0(sdtpldt0(X14,X15),X16) = sdtpldt0(X14,sdtpldt0(X15,X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_19,plain,
! [X8,X9] :
( ~ aElement0(X8)
| ~ aElement0(X9)
| aElement0(sdtpldt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_20,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X7] :
( ~ aElement0(X7)
| aElement0(smndt0(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(c_0_24,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X1,sdtpldt0(X2,smndt0(xx))),xI)
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,X2),smndt0(xy)),xJ)
| ~ aElement0(smndt0(xx))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_26,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
fof(c_0_27,plain,
! [X18] :
( ( sdtpldt0(X18,smndt0(X18)) = sz00
| ~ aElement0(X18) )
& ( sz00 = sdtpldt0(smndt0(X18),X18)
| ~ aElement0(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
cnf(c_0_28,negated_conjecture,
( ~ aElementOf0(sdtpldt0(X1,sdtpldt0(X2,smndt0(xx))),xI)
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,X2),smndt0(xy)),xJ)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_30,plain,
! [X17] :
( ( sdtpldt0(X17,sz00) = X17
| ~ aElement0(X17) )
& ( X17 = sdtpldt0(sz00,X17)
| ~ aElement0(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(c_0_31,hypothesis,
! [X75,X76,X77,X78,X79,X80] :
( aSet0(xI)
& ( ~ aElementOf0(X76,xI)
| aElementOf0(sdtpldt0(X75,X76),xI)
| ~ aElementOf0(X75,xI) )
& ( ~ aElement0(X77)
| aElementOf0(sdtasdt0(X77,X75),xI)
| ~ aElementOf0(X75,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ( ~ aElementOf0(X79,xJ)
| aElementOf0(sdtpldt0(X78,X79),xJ)
| ~ aElementOf0(X78,xJ) )
& ( ~ aElement0(X80)
| aElementOf0(sdtasdt0(X80,X78),xJ)
| ~ aElementOf0(X78,xJ) )
& aIdeal0(xJ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205])])])]) ).
fof(c_0_32,hypothesis,
! [X81] :
( ( aElementOf0(esk12_1(X81),xI)
| ~ aElement0(X81) )
& ( aElementOf0(esk13_1(X81),xJ)
| ~ aElement0(X81) )
& ( sdtpldt0(esk12_1(X81),esk13_1(X81)) = X81
| ~ aElement0(X81) )
& ( aElementOf0(X81,sdtpldt1(xI,xJ))
| ~ aElement0(X81) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205_03])])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(X1,xx),smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X1,sz00),xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).
cnf(c_0_34,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(esk12_1(X1),xI)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_37,plain,
! [X32,X33] :
( ~ aSet0(X32)
| ~ aElementOf0(X33,X32)
| aElement0(X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_38,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(X1,xx),smndt0(xy)),xJ)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,hypothesis,
( aElementOf0(sdtasdt0(X1,esk12_1(X2)),xI)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_40,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ aElement0(X11)
| aElement0(sdtasdt0(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_41,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(X1,esk12_1(X2)),xx),smndt0(xy)),xJ)
| ~ aElement0(sdtasdt0(X1,esk12_1(X2)))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,hypothesis,
( aElement0(esk12_1(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_42])]) ).
fof(c_0_46,plain,
! [X28] :
( ( sdtasdt0(smndt0(sz10),X28) = smndt0(X28)
| ~ aElement0(X28) )
& ( smndt0(X28) = sdtasdt0(X28,smndt0(sz10))
| ~ aElement0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])]) ).
cnf(c_0_47,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(X1,esk12_1(X2)),xx),smndt0(xy)),xJ)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_48,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xJ) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_50,hypothesis,
( aElementOf0(esk13_1(X1),xJ)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_51,plain,
! [X29] :
( ( sdtasdt0(X29,sz00) = sz00
| ~ aElement0(X29) )
& ( sz00 = sdtasdt0(sz00,X29)
| ~ aElement0(X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
cnf(c_0_52,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(smndt0(esk12_1(X1)),xx),smndt0(xy)),xJ)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_45]) ).
cnf(c_0_54,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_55,hypothesis,
( aElementOf0(sdtasdt0(X1,esk13_1(X2)),xJ)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_58,hypothesis,
( aElement0(esk13_1(X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_50]),c_0_52])]) ).
cnf(c_0_59,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sdtpldt0(smndt0(esk12_1(X1)),xx),smndt0(xy)),xJ)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_25]),c_0_54])]) ).
fof(c_0_60,plain,
! [X60,X61,X62,X63,X64] :
( ( aSet0(X60)
| ~ aIdeal0(X60) )
& ( ~ aElementOf0(X62,X60)
| aElementOf0(sdtpldt0(X61,X62),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( ~ aElement0(X63)
| aElementOf0(sdtasdt0(X63,X61),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( aElementOf0(esk9_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])]) ).
cnf(c_0_61,hypothesis,
( aElementOf0(sz00,xJ)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]),c_0_58]) ).
cnf(c_0_62,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_63,negated_conjecture,
( ~ aElementOf0(sdtpldt0(smndt0(esk12_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ)
| ~ aElement0(smndt0(esk12_1(X1)))
| ~ aElement0(smndt0(xy))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_21]),c_0_26])]) ).
cnf(c_0_64,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_65,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,hypothesis,
aElementOf0(sz00,xJ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_67,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_68,negated_conjecture,
( ~ aElementOf0(sdtpldt0(smndt0(esk12_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ)
| ~ aElement0(smndt0(esk12_1(X1)))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_25]),c_0_62])]) ).
cnf(c_0_69,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_64]),c_0_25]) ).
cnf(c_0_70,hypothesis,
( sdtpldt0(esk12_1(X1),esk13_1(X1)) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_71,hypothesis,
( aElementOf0(sdtpldt0(sz00,X1),xJ)
| ~ aElementOf0(X1,xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_72,negated_conjecture,
( ~ aElementOf0(sdtpldt0(smndt0(esk12_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_25]),c_0_45]) ).
cnf(c_0_73,hypothesis,
( sdtpldt0(smndt0(esk12_1(X1)),X1) = sdtpldt0(sz00,esk13_1(X1))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_45]),c_0_58]) ).
cnf(c_0_74,hypothesis,
( aElementOf0(sdtpldt0(sz00,esk13_1(X1)),xJ)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_50]) ).
cnf(c_0_75,negated_conjecture,
~ aElement0(sdtpldt0(xx,smndt0(xy))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).
cnf(c_0_76,negated_conjecture,
~ aElement0(smndt0(xy)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_22]),c_0_26])]) ).
cnf(c_0_77,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_25]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG094+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n028.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 : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:57:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 248.75/248.61 % Version : CSE_E---1.5
% 248.75/248.61 % Problem : theBenchmark.p
% 248.75/248.61 % Proof found
% 248.75/248.61 % SZS status Theorem for theBenchmark.p
% 248.75/248.61 % SZS output start Proof
% See solution above
% 248.75/248.63 % Total time : 248.035000 s
% 248.75/248.63 % SZS output end Proof
% 248.75/248.63 % Total time : 248.051000 s
%------------------------------------------------------------------------------