TSTP Solution File: NUM443+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM443+4 : 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 : n015.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 10:37:33 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 49
% Syntax : Number of formulae : 73 ( 11 unt; 43 typ; 0 def)
% Number of atoms : 252 ( 42 equ)
% Maximal formula atoms : 50 ( 8 avg)
% Number of connectives : 321 ( 99 ~; 113 |; 90 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 35 >; 24 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 8 con; 0-3 aty)
% Number of variables : 62 ( 0 sgn; 34 !; 10 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aInteger0: $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,
aDivisorOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
isPrime0: $i > $o ).
tff(decl_31,type,
aSet0: $i > $o ).
tff(decl_32,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_33,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_34,type,
isFinite0: $i > $o ).
tff(decl_35,type,
cS1395: $i ).
tff(decl_36,type,
sdtbsmnsldt0: ( $i * $i ) > $i ).
tff(decl_37,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(decl_38,type,
sbsmnsldt0: $i > $i ).
tff(decl_39,type,
stldt0: $i > $i ).
tff(decl_40,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(decl_41,type,
isOpen0: $i > $o ).
tff(decl_42,type,
isClosed0: $i > $o ).
tff(decl_43,type,
xa: $i ).
tff(decl_44,type,
xq: $i ).
tff(decl_45,type,
xb: $i ).
tff(decl_46,type,
xc: $i ).
tff(decl_47,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk2_1: $i > $i ).
tff(decl_49,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_1: $i > $i ).
tff(decl_53,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk13_1: $i > $i ).
tff(decl_60,type,
esk14_1: $i > $i ).
tff(decl_61,type,
esk15_1: $i > $i ).
tff(decl_62,type,
esk16_1: $i > $i ).
tff(decl_63,type,
esk17_0: $i ).
tff(decl_64,type,
esk18_1: $i > $i ).
fof(m__,conjecture,
( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xc,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) )
=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mEquModTrn,axiom,
! [X1,X2,X3,X4] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00
& aInteger0(X4) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
& sdteqdtlpzmzozddtrp0(X2,X4,X3) )
=> sdteqdtlpzmzozddtrp0(X1,X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModTrn) ).
fof(mEquModSym,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
=> sdteqdtlpzmzozddtrp0(X2,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquModSym) ).
fof(m__2010,hypothesis,
( aInteger0(xb)
& aInteger0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2010) ).
fof(m__1962,hypothesis,
( aInteger0(xa)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1962) ).
fof(mArSeq,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2)
& X2 != sz00 )
=> ! [X3] :
( X3 = szAzrzSzezqlpdtcmdtrp0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aInteger0(X4)
& sdteqdtlpzmzozddtrp0(X4,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArSeq) ).
fof(c_0_6,negated_conjecture,
~ ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xc,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq) )
=> ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [X1] :
( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( aInteger0(X1)
& ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
& aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
& sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
& ( ( aInteger0(X1)
& ( ? [X2] :
( aInteger0(X2)
& sdtasdt0(xq,X2) = sdtpldt0(X1,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(X1,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(X1,xa,xq) ) )
=> aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
=> ( ~ aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_7,plain,
! [X43,X44,X45,X46] :
( ~ aInteger0(X43)
| ~ aInteger0(X44)
| ~ aInteger0(X45)
| X45 = sz00
| ~ aInteger0(X46)
| ~ sdteqdtlpzmzozddtrp0(X43,X44,X45)
| ~ sdteqdtlpzmzozddtrp0(X44,X46,X45)
| sdteqdtlpzmzozddtrp0(X43,X46,X45) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModTrn])]) ).
fof(c_0_8,negated_conjecture,
! [X111,X113,X114,X116,X118,X119] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ( aInteger0(X111)
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aInteger0(esk16_1(X111))
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( sdtasdt0(xq,esk16_1(X111)) = sdtpldt0(X111,smndt0(xa))
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aDivisorOf0(xq,sdtpldt0(X111,smndt0(xa)))
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( sdteqdtlpzmzozddtrp0(X111,xa,xq)
| ~ aElementOf0(X111,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aInteger0(X114)
| sdtasdt0(xq,X114) != sdtpldt0(X113,smndt0(xa))
| ~ aInteger0(X113)
| aElementOf0(X113,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aDivisorOf0(xq,sdtpldt0(X113,smndt0(xa)))
| ~ aInteger0(X113)
| aElementOf0(X113,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ sdteqdtlpzmzozddtrp0(X113,xa,xq)
| ~ aInteger0(X113)
| aElementOf0(X113,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aElementOf0(xb,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aInteger0(esk17_0)
& sdtasdt0(xq,esk17_0) = sdtpldt0(xc,smndt0(xb))
& aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xc,xb,xq)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ( aInteger0(X116)
| ~ aElementOf0(X116,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aInteger0(esk18_1(X116))
| ~ aElementOf0(X116,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( sdtasdt0(xq,esk18_1(X116)) = sdtpldt0(X116,smndt0(xa))
| ~ aElementOf0(X116,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aDivisorOf0(xq,sdtpldt0(X116,smndt0(xa)))
| ~ aElementOf0(X116,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( sdteqdtlpzmzozddtrp0(X116,xa,xq)
| ~ aElementOf0(X116,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aInteger0(X119)
| sdtasdt0(xq,X119) != sdtpldt0(X118,smndt0(xa))
| ~ aInteger0(X118)
| aElementOf0(X118,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ aDivisorOf0(xq,sdtpldt0(X118,smndt0(xa)))
| ~ aInteger0(X118)
| aElementOf0(X118,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( ~ sdteqdtlpzmzozddtrp0(X118,xa,xq)
| ~ aInteger0(X118)
| aElementOf0(X118,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ aElementOf0(xc,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
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_6])])])])])]) ).
fof(c_0_9,plain,
! [X40,X41,X42] :
( ~ aInteger0(X40)
| ~ aInteger0(X41)
| ~ aInteger0(X42)
| X42 = sz00
| ~ sdteqdtlpzmzozddtrp0(X40,X41,X42)
| sdteqdtlpzmzozddtrp0(X41,X40,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
cnf(c_0_10,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X1,X4,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X4)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ sdteqdtlpzmzozddtrp0(X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
sdteqdtlpzmzozddtrp0(xc,xb,xq),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__2010]) ).
cnf(c_0_13,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__1962]) ).
cnf(c_0_14,hypothesis,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[m__2010]) ).
cnf(c_0_15,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__1962]) ).
cnf(c_0_16,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__1962]) ).
cnf(c_0_19,negated_conjecture,
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_20,plain,
! [X90,X91,X92,X93,X94,X95] :
( ( aSet0(X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( aInteger0(X93)
| ~ aElementOf0(X93,X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( sdteqdtlpzmzozddtrp0(X93,X90,X91)
| ~ aElementOf0(X93,X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( ~ aInteger0(X94)
| ~ sdteqdtlpzmzozddtrp0(X94,X90,X91)
| aElementOf0(X94,X92)
| X92 != szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( ~ aElementOf0(esk11_3(X90,X91,X95),X95)
| ~ aInteger0(esk11_3(X90,X91,X95))
| ~ sdteqdtlpzmzozddtrp0(esk11_3(X90,X91,X95),X90,X91)
| ~ aSet0(X95)
| X95 = szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( aInteger0(esk11_3(X90,X91,X95))
| aElementOf0(esk11_3(X90,X91,X95),X95)
| ~ aSet0(X95)
| X95 = szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 )
& ( sdteqdtlpzmzozddtrp0(esk11_3(X90,X91,X95),X90,X91)
| aElementOf0(esk11_3(X90,X91,X95),X95)
| ~ aSet0(X95)
| X95 = szAzrzSzezqlpdtcmdtrp0(X90,X91)
| ~ aInteger0(X90)
| ~ aInteger0(X91)
| X91 = sz00 ) ),
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)],[mArSeq])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( sdteqdtlpzmzozddtrp0(X1,xb,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xc,xq)
| ~ aInteger0(X1) ),
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_10,c_0_11]),c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( sdteqdtlpzmzozddtrp0(xa,X1,xq)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13]),c_0_18])]),c_0_15]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
aElementOf0(xc,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_24,plain,
( aElementOf0(X1,X4)
| X3 = sz00
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X4 != szAzrzSzezqlpdtcmdtrp0(X2,X3)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_23])]) ).
cnf(c_0_26,plain,
( X1 = sz00
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X3,X1))
| ~ sdteqdtlpzmzozddtrp0(X2,X3,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(X2) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_27,negated_conjecture,
sdteqdtlpzmzozddtrp0(xb,xa,xq),
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_16,c_0_25]),c_0_13]),c_0_12]),c_0_18])]),c_0_15]) ).
cnf(c_0_28,negated_conjecture,
~ aElementOf0(xb,szAzrzSzezqlpdtcmdtrp0(xa,xq)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_26,c_0_27]),c_0_13]),c_0_18]),c_0_12])]),c_0_15]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM443+4 : 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 : n015.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 : Fri Aug 25 18:19:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 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
% 0.19/0.62 % Total time : 0.056000 s
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time : 0.060000 s
%------------------------------------------------------------------------------