TSTP Solution File: NUM481+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM481+3 : 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 : n002.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 10:37:57 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 82 ( 14 unt; 19 typ; 0 def)
% Number of atoms : 413 ( 170 equ)
% Maximal formula atoms : 128 ( 6 avg)
% Number of connectives : 557 ( 207 ~; 243 |; 84 &)
% ( 1 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 16 >; 9 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn; 44 !; 13 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aNaturalNumber0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_26,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_28,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_29,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_30,type,
doDivides0: ( $i * $i ) > $o ).
tff(decl_31,type,
sdtsldt0: ( $i * $i ) > $i ).
tff(decl_32,type,
isPrime0: $i > $o ).
tff(decl_33,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_34,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk3_1: $i > $i ).
tff(decl_36,type,
esk4_0: $i ).
tff(decl_37,type,
esk5_1: $i > $i ).
tff(decl_38,type,
esk6_1: $i > $i ).
tff(decl_39,type,
esk7_1: $i > $i ).
tff(decl_40,type,
esk8_1: $i > $i ).
fof(m__,conjecture,
! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( ! [X2] :
( ( aNaturalNumber0(X2)
& X2 != sz00
& X2 != sz10 )
=> ( iLess0(X2,X1)
=> ? [X3] :
( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2)
& X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ( ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
| doDivides0(X4,X3) ) )
=> ( X4 = sz10
| X4 = X3 ) )
& isPrime0(X3) ) ) )
=> ? [X2] :
( aNaturalNumber0(X2)
& ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
| doDivides0(X2,X1) )
& ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2)
& aNaturalNumber0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> aNaturalNumber0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mDefDiv,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( doDivides0(X1,X2)
<=> ? [X3] :
( aNaturalNumber0(X3)
& X2 = sdtasdt0(X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(m_MulUnit,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
fof(mSortsC_01,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mDivLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X1,X2)
& X2 != sz00 )
=> sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivLE) ).
fof(mIH_03,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X1 != X2
& sdtlseqdt0(X1,X2) )
=> iLess0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(m_MulZero,axiom,
! [X1] :
( aNaturalNumber0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( aNaturalNumber0(X1)
& X1 != sz00
& X1 != sz10 )
=> ( ! [X2] :
( ( aNaturalNumber0(X2)
& X2 != sz00
& X2 != sz10 )
=> ( iLess0(X2,X1)
=> ? [X3] :
( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2)
& X3 != sz00
& X3 != sz10
& ! [X4] :
( ( aNaturalNumber0(X4)
& ( ? [X5] :
( aNaturalNumber0(X5)
& X3 = sdtasdt0(X4,X5) )
| doDivides0(X4,X3) ) )
=> ( X4 = sz10
| X4 = X3 ) )
& isPrime0(X3) ) ) )
=> ? [X2] :
( aNaturalNumber0(X2)
& ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
| doDivides0(X2,X1) )
& ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_11,negated_conjecture,
! [X87,X90,X91,X92,X93] :
( aNaturalNumber0(esk4_0)
& esk4_0 != sz00
& esk4_0 != sz10
& ( aNaturalNumber0(esk5_1(X87))
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( aNaturalNumber0(esk6_1(X87))
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( X87 = sdtasdt0(esk5_1(X87),esk6_1(X87))
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( doDivides0(esk5_1(X87),X87)
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( esk5_1(X87) != sz00
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( esk5_1(X87) != sz10
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( ~ aNaturalNumber0(X91)
| esk5_1(X87) != sdtasdt0(X90,X91)
| ~ aNaturalNumber0(X90)
| X90 = sz10
| X90 = esk5_1(X87)
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( ~ doDivides0(X90,esk5_1(X87))
| ~ aNaturalNumber0(X90)
| X90 = sz10
| X90 = esk5_1(X87)
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( isPrime0(esk5_1(X87))
| ~ iLess0(X87,esk4_0)
| ~ aNaturalNumber0(X87)
| X87 = sz00
| X87 = sz10 )
& ( aNaturalNumber0(esk7_1(X92))
| X92 = sz00
| X92 = sz10
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( aNaturalNumber0(esk8_1(X92))
| X92 = sz00
| X92 = sz10
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( X92 = sdtasdt0(esk7_1(X92),esk8_1(X92))
| X92 = sz00
| X92 = sz10
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( doDivides0(esk7_1(X92),X92)
| X92 = sz00
| X92 = sz10
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( esk7_1(X92) != sz10
| X92 = sz00
| X92 = sz10
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( esk7_1(X92) != X92
| X92 = sz00
| X92 = sz10
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( ~ isPrime0(X92)
| ~ aNaturalNumber0(X93)
| esk4_0 != sdtasdt0(X92,X93)
| ~ aNaturalNumber0(X92) )
& ( aNaturalNumber0(esk7_1(X92))
| X92 = sz00
| X92 = sz10
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) )
& ( aNaturalNumber0(esk8_1(X92))
| X92 = sz00
| X92 = sz10
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) )
& ( X92 = sdtasdt0(esk7_1(X92),esk8_1(X92))
| X92 = sz00
| X92 = sz10
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) )
& ( doDivides0(esk7_1(X92),X92)
| X92 = sz00
| X92 = sz10
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) )
& ( esk7_1(X92) != sz10
| X92 = sz00
| X92 = sz10
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) )
& ( esk7_1(X92) != X92
| X92 = sz00
| X92 = sz10
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) )
& ( ~ isPrime0(X92)
| ~ doDivides0(X92,esk4_0)
| ~ aNaturalNumber0(X92) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_12,plain,
! [X16,X17] :
( ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X17)
| sdtasdt0(X16,X17) = sdtasdt0(X17,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_13,negated_conjecture,
( ~ isPrime0(X1)
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X18,X19,X20] :
( ~ aNaturalNumber0(X18)
| ~ aNaturalNumber0(X19)
| ~ aNaturalNumber0(X20)
| sdtasdt0(sdtasdt0(X18,X19),X20) = sdtasdt0(X18,sdtasdt0(X19,X20)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(c_0_16,plain,
! [X8,X9] :
( ~ aNaturalNumber0(X8)
| ~ aNaturalNumber0(X9)
| aNaturalNumber0(sdtasdt0(X8,X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
cnf(c_0_17,negated_conjecture,
( sdtasdt0(X1,X2) != esk4_0
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( sdtasdt0(X1,sdtasdt0(X2,X3)) != esk4_0
| ~ isPrime0(X3)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
fof(c_0_21,plain,
! [X62,X63,X65] :
( ( aNaturalNumber0(esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( X63 = sdtasdt0(X62,esk2_2(X62,X63))
| ~ doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) )
& ( ~ aNaturalNumber0(X65)
| X63 != sdtasdt0(X62,X65)
| doDivides0(X62,X63)
| ~ aNaturalNumber0(X62)
| ~ aNaturalNumber0(X63) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).
cnf(c_0_22,negated_conjecture,
( sdtasdt0(X1,sdtasdt0(X2,X3)) != esk4_0
| ~ isPrime0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_23,plain,
( X1 = sdtasdt0(X2,esk2_2(X2,X1))
| ~ doDivides0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( aNaturalNumber0(esk2_2(X1,X2))
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_25,plain,
! [X21] :
( ( sdtasdt0(X21,sz10) = X21
| ~ aNaturalNumber0(X21) )
& ( X21 = sdtasdt0(sz10,X21)
| ~ aNaturalNumber0(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])]) ).
cnf(c_0_26,negated_conjecture,
( sdtasdt0(X1,X2) != esk4_0
| ~ isPrime0(X3)
| ~ doDivides0(X3,X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( X1 = sdtasdt0(esk7_1(X1),esk8_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
aNaturalNumber0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_30,negated_conjecture,
aNaturalNumber0(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
esk4_0 != sz00,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,negated_conjecture,
esk4_0 != sz10,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
( aNaturalNumber0(esk8_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
( aNaturalNumber0(esk7_1(X1))
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_35,negated_conjecture,
( sdtasdt0(X1,X2) != esk4_0
| ~ isPrime0(X3)
| ~ doDivides0(X3,X1)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_14]) ).
cnf(c_0_36,negated_conjecture,
sdtasdt0(esk7_1(esk4_0),esk8_1(esk4_0)) = esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])])]),c_0_30])]),c_0_31]),c_0_32]) ).
cnf(c_0_37,negated_conjecture,
aNaturalNumber0(esk8_1(esk4_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_29])])]),c_0_30])]),c_0_31]),c_0_32]) ).
cnf(c_0_38,negated_conjecture,
aNaturalNumber0(esk7_1(esk4_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_29])])]),c_0_30])]),c_0_31]),c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk7_1(X1) != sz10
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,negated_conjecture,
( ~ isPrime0(X1)
| ~ doDivides0(X1,esk7_1(esk4_0))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_41,negated_conjecture,
( doDivides0(esk5_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,negated_conjecture,
esk7_1(esk4_0) != sz10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_29])])]),c_0_30])]),c_0_31]),c_0_32]) ).
fof(c_0_43,plain,
! [X78,X79] :
( ~ aNaturalNumber0(X78)
| ~ aNaturalNumber0(X79)
| ~ doDivides0(X78,X79)
| X79 = sz00
| sdtlseqdt0(X78,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivLE])]) ).
cnf(c_0_44,negated_conjecture,
( doDivides0(esk7_1(X1),X1)
| X1 = sz00
| X1 = sz10
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,negated_conjecture,
( esk7_1(esk4_0) = sz00
| ~ isPrime0(esk5_1(esk7_1(esk4_0)))
| ~ iLess0(esk7_1(esk4_0),esk4_0)
| ~ aNaturalNumber0(esk5_1(esk7_1(esk4_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38])]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( isPrime0(esk5_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_47,plain,
! [X60,X61] :
( ~ aNaturalNumber0(X60)
| ~ aNaturalNumber0(X61)
| X60 = X61
| ~ sdtlseqdt0(X60,X61)
| iLess0(X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH_03])]) ).
cnf(c_0_48,plain,
( X2 = sz00
| sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
doDivides0(esk7_1(esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_28]),c_0_29])])]),c_0_30])]),c_0_31]),c_0_32]) ).
cnf(c_0_50,negated_conjecture,
( X1 = sz00
| X1 = sz10
| esk7_1(X1) != X1
| ~ aNaturalNumber0(X2)
| esk4_0 != sdtasdt0(X1,X2)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_51,negated_conjecture,
( esk7_1(esk4_0) = sz00
| ~ iLess0(esk7_1(esk4_0),esk4_0)
| ~ aNaturalNumber0(esk5_1(esk7_1(esk4_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38])]),c_0_42]) ).
cnf(c_0_52,plain,
( X1 = X2
| iLess0(X1,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
sdtlseqdt0(esk7_1(esk4_0),esk4_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_30]),c_0_38])]),c_0_31]) ).
cnf(c_0_54,negated_conjecture,
esk7_1(esk4_0) != esk4_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_29])])]),c_0_30])]),c_0_31]),c_0_32]) ).
cnf(c_0_55,negated_conjecture,
( aNaturalNumber0(esk5_1(X1))
| X1 = sz00
| X1 = sz10
| ~ iLess0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_56,negated_conjecture,
( esk7_1(esk4_0) = sz00
| ~ aNaturalNumber0(esk5_1(esk7_1(esk4_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_30]),c_0_38])]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk4_0
| X1 = sz10
| X1 = sz00
| aNaturalNumber0(esk5_1(X1))
| ~ sdtlseqdt0(X1,esk4_0)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_52]),c_0_30])]) ).
fof(c_0_58,plain,
! [X22] :
( ( sdtasdt0(X22,sz00) = sz00
| ~ aNaturalNumber0(X22) )
& ( sz00 = sdtasdt0(sz00,X22)
| ~ aNaturalNumber0(X22) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).
cnf(c_0_59,negated_conjecture,
esk7_1(esk4_0) = sz00,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_53]),c_0_38])]),c_0_54]),c_0_42]) ).
cnf(c_0_60,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aNaturalNumber0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_61,negated_conjecture,
sdtasdt0(sz00,esk8_1(esk4_0)) = esk4_0,
inference(rw,[status(thm)],[c_0_36,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_37])]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM481+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n002.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 : Fri Aug 25 08:10:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark.p
% 0.19/0.62 % SZS output start Proof
% See solution above
% 0.19/0.63 % Total time : 0.051000 s
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time : 0.055000 s
%------------------------------------------------------------------------------