TSTP Solution File: NUM426+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM426+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 10:37:19 EDT 2023
% Result : Theorem 10.88s 11.01s
% Output : CNFRefutation 10.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 35
% Syntax : Number of formulae : 179 ( 71 unt; 13 typ; 0 def)
% Number of atoms : 383 ( 152 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 379 ( 162 ~; 160 |; 38 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn; 62 !; 1 ?; 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,
xa: $i ).
tff(decl_31,type,
xb: $i ).
tff(decl_32,type,
xq: $i ).
tff(decl_33,type,
xn: $i ).
tff(decl_34,type,
esk1_2: ( $i * $i ) > $i ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(mEquMod,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3)
& X3 != sz00 )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEquMod) ).
fof(m__747,hypothesis,
( aInteger0(xn)
& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__747) ).
fof(m__704,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__704) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(m__724,hypothesis,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__724) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X1)
& aInteger0(X2)
& aInteger0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).
fof(m__,conjecture,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_22,plain,
! [X5,X6] :
( ~ aInteger0(X5)
| ~ aInteger0(X6)
| aInteger0(sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
fof(c_0_23,plain,
! [X34,X35,X36] :
( ( ~ sdteqdtlpzmzozddtrp0(X34,X35,X36)
| aDivisorOf0(X36,sdtpldt0(X34,smndt0(X35)))
| ~ aInteger0(X34)
| ~ aInteger0(X35)
| ~ aInteger0(X36)
| X36 = sz00 )
& ( ~ aDivisorOf0(X36,sdtpldt0(X34,smndt0(X35)))
| sdteqdtlpzmzozddtrp0(X34,X35,X36)
| ~ aInteger0(X34)
| ~ aInteger0(X35)
| ~ aInteger0(X36)
| X36 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquMod])])]) ).
cnf(c_0_24,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,hypothesis,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[m__747]) ).
cnf(c_0_26,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__704]) ).
fof(c_0_27,plain,
! [X4] :
( ~ aInteger0(X4)
| aInteger0(smndt0(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
fof(c_0_28,plain,
! [X9,X10,X11] :
( ~ aInteger0(X9)
| ~ aInteger0(X10)
| ~ aInteger0(X11)
| sdtpldt0(X9,sdtpldt0(X10,X11)) = sdtpldt0(sdtpldt0(X9,X10),X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_29,plain,
! [X29,X30,X32,X33] :
( ( aInteger0(X30)
| ~ aDivisorOf0(X30,X29)
| ~ aInteger0(X29) )
& ( X30 != sz00
| ~ aDivisorOf0(X30,X29)
| ~ aInteger0(X29) )
& ( aInteger0(esk1_2(X29,X30))
| ~ aDivisorOf0(X30,X29)
| ~ aInteger0(X29) )
& ( sdtasdt0(X30,esk1_2(X29,X30)) = X29
| ~ aDivisorOf0(X30,X29)
| ~ aInteger0(X29) )
& ( ~ aInteger0(X32)
| X32 = sz00
| ~ aInteger0(X33)
| sdtasdt0(X32,X33) != X29
| aDivisorOf0(X32,X29)
| ~ aInteger0(X29) ) ),
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)],[mDivisor])])])])])]) ).
cnf(c_0_30,plain,
( aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2)))
| X3 = sz00
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,hypothesis,
sdteqdtlpzmzozddtrp0(xa,xb,xq),
inference(split_conjunct,[status(thm)],[m__724]) ).
cnf(c_0_32,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_33,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_34,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__704]) ).
cnf(c_0_35,hypothesis,
( aInteger0(sdtasdt0(xq,xn))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_36,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_38,plain,
! [X16,X17,X18] :
( ~ aInteger0(X16)
| ~ aInteger0(X17)
| ~ aInteger0(X18)
| sdtasdt0(X16,sdtasdt0(X17,X18)) = sdtasdt0(sdtasdt0(X16,X17),X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_39,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,hypothesis,
aDivisorOf0(xq,sdtasdt0(xq,xn)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_25]),c_0_32]),c_0_33]),c_0_26])]),c_0_34]) ).
cnf(c_0_41,hypothesis,
aInteger0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33])]) ).
cnf(c_0_42,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,hypothesis,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_26])]) ).
fof(c_0_44,plain,
! [X15] :
( ( sdtpldt0(X15,smndt0(X15)) = sz00
| ~ aInteger0(X15) )
& ( sz00 = sdtpldt0(smndt0(X15),X15)
| ~ aInteger0(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
cnf(c_0_45,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,hypothesis,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_47,hypothesis,
aInteger0(esk1_2(sdtasdt0(xq,xn),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_41])]) ).
fof(c_0_48,plain,
! [X25] :
( ( sdtasdt0(X25,sz00) = sz00
| ~ aInteger0(X25) )
& ( sz00 = sdtasdt0(sz00,X25)
| ~ aInteger0(X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(c_0_49,plain,
! [X14] :
( ( sdtpldt0(X14,sz00) = X14
| ~ aInteger0(X14) )
& ( X14 = sdtpldt0(sz00,X14)
| ~ aInteger0(X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(c_0_50,plain,
! [X12,X13] :
( ~ aInteger0(X12)
| ~ aInteger0(X13)
| sdtpldt0(X12,X13) = sdtpldt0(X13,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_51,hypothesis,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_36]),c_0_33])]) ).
cnf(c_0_52,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,hypothesis,
( sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1)) = sdtasdt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_32])]) ).
cnf(c_0_54,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_56,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_33])]) ).
fof(c_0_59,plain,
! [X19,X20] :
( ~ aInteger0(X19)
| ~ aInteger0(X20)
| sdtasdt0(X19,X20) = sdtasdt0(X20,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_60,hypothesis,
sdtasdt0(sdtasdt0(xq,xn),sz00) = sdtasdt0(xq,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_47])]) ).
cnf(c_0_61,plain,
( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_56]),c_0_55])]) ).
cnf(c_0_62,hypothesis,
sdtpldt0(xb,sdtasdt0(xq,xn)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_33]),c_0_41])]) ).
cnf(c_0_63,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_64,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,hypothesis,
sdtasdt0(xq,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_41])]) ).
cnf(c_0_66,hypothesis,
sdtpldt0(sz00,sdtpldt0(xa,sz00)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_41]),c_0_33])]) ).
cnf(c_0_67,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_52]),c_0_55])]) ).
cnf(c_0_68,hypothesis,
sdtasdt0(sz00,xq) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_55]),c_0_32])]) ).
fof(c_0_69,plain,
! [X26] :
( ( sdtasdt0(smndt0(sz10),X26) = smndt0(X26)
| ~ aInteger0(X26) )
& ( smndt0(X26) = sdtasdt0(X26,smndt0(sz10))
| ~ aInteger0(X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
cnf(c_0_70,plain,
( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_37]),c_0_55])]),c_0_24]) ).
cnf(c_0_71,hypothesis,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_63]),c_0_26])]) ).
cnf(c_0_72,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_36]),c_0_55])]) ).
cnf(c_0_73,hypothesis,
( sdtasdt0(sz00,sdtasdt0(xq,X1)) = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_68]),c_0_32]),c_0_55])]) ).
cnf(c_0_74,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_52]),c_0_36]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(xa,sz00) = xa,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_26]),c_0_55])]),c_0_71]) ).
cnf(c_0_77,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_72]),c_0_55])]) ).
cnf(c_0_78,hypothesis,
( sdtasdt0(sz00,smndt0(xq)) = sdtasdt0(sz00,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_32])]) ).
cnf(c_0_79,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_80,hypothesis,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_55]),c_0_26])]) ).
cnf(c_0_81,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_82,hypothesis,
sdtasdt0(sz00,smndt0(xq)) = sdtasdt0(sz00,smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_36]),c_0_79])]) ).
cnf(c_0_83,hypothesis,
( sdtpldt0(smndt0(smndt0(xa)),sz00) = xa
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_80]),c_0_71]),c_0_26])]) ).
cnf(c_0_84,hypothesis,
( sdtasdt0(sz00,smndt0(sz10)) = sz00
| ~ aInteger0(smndt0(xq)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,hypothesis,
sdtpldt0(smndt0(smndt0(xa)),sz00) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_36]),c_0_26])]) ).
cnf(c_0_86,plain,
( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_81]),c_0_55])]) ).
cnf(c_0_87,hypothesis,
sdtasdt0(sz00,smndt0(sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_36]),c_0_32])]) ).
cnf(c_0_88,hypothesis,
( smndt0(smndt0(xa)) = xa
| ~ aInteger0(smndt0(smndt0(xa))) ),
inference(spm,[status(thm)],[c_0_63,c_0_85]) ).
cnf(c_0_89,plain,
( sdtasdt0(sz00,smndt0(X1)) = sz00
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_74]),c_0_87]) ).
cnf(c_0_90,hypothesis,
( smndt0(smndt0(xa)) = xa
| ~ aInteger0(smndt0(xa)) ),
inference(spm,[status(thm)],[c_0_88,c_0_36]) ).
fof(c_0_91,plain,
! [X22,X23,X24] :
( ( sdtasdt0(X22,sdtpldt0(X23,X24)) = sdtpldt0(sdtasdt0(X22,X23),sdtasdt0(X22,X24))
| ~ aInteger0(X22)
| ~ aInteger0(X23)
| ~ aInteger0(X24) )
& ( sdtasdt0(sdtpldt0(X22,X23),X24) = sdtpldt0(sdtasdt0(X22,X24),sdtasdt0(X23,X24))
| ~ aInteger0(X22)
| ~ aInteger0(X23)
| ~ aInteger0(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
cnf(c_0_92,plain,
( sdtasdt0(sz00,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_36]),c_0_79])]) ).
cnf(c_0_93,hypothesis,
smndt0(smndt0(xa)) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_36]),c_0_26])]) ).
cnf(c_0_94,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_95,hypothesis,
( sdtasdt0(sz00,xa) = sz00
| ~ aInteger0(smndt0(xa)) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
( sdtpldt0(sdtasdt0(sz00,X1),sz00) = sdtasdt0(sz00,sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_81]),c_0_55])]) ).
cnf(c_0_97,hypothesis,
sdtpldt0(xb,sdtasdt0(xq,xn)) = xa,
inference(rw,[status(thm)],[c_0_62,c_0_76]) ).
cnf(c_0_98,hypothesis,
sdtasdt0(sz00,xa) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_36]),c_0_26])]) ).
fof(c_0_99,plain,
! [X21] :
( ( sdtasdt0(X21,sz10) = X21
| ~ aInteger0(X21) )
& ( X21 = sdtasdt0(sz10,X21)
| ~ aInteger0(X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
cnf(c_0_100,hypothesis,
sdtpldt0(sdtasdt0(sz00,xb),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]),c_0_41]),c_0_33])]) ).
fof(c_0_101,plain,
! [X7,X8] :
( ~ aInteger0(X7)
| ~ aInteger0(X8)
| aInteger0(sdtasdt0(X7,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
cnf(c_0_102,hypothesis,
( sdtpldt0(xa,sdtpldt0(X1,smndt0(xb))) = sdtpldt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_57]) ).
cnf(c_0_103,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_104,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_105,hypothesis,
( sdtasdt0(sz00,xb) = sz00
| ~ aInteger0(sdtasdt0(sz00,xb)) ),
inference(spm,[status(thm)],[c_0_63,c_0_100]) ).
cnf(c_0_106,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_107,hypothesis,
( sdtpldt0(xa,sdtpldt0(X1,smndt0(xb))) = sdtpldt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_36]),c_0_33])]) ).
cnf(c_0_108,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),xb) = xa,
inference(rw,[status(thm)],[c_0_58,c_0_76]) ).
cnf(c_0_109,plain,
( sdtpldt0(sdtasdt0(X1,X2),X2) = sdtasdt0(sdtpldt0(X1,sz10),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_79])]) ).
cnf(c_0_110,hypothesis,
sdtasdt0(sz00,xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_33]),c_0_55])]) ).
cnf(c_0_111,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),xa) = sdtpldt0(xa,sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_25]),c_0_26])]) ).
cnf(c_0_112,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_45]),c_0_106]) ).
cnf(c_0_113,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
fof(c_0_114,plain,
! [X27,X28] :
( ~ aInteger0(X27)
| ~ aInteger0(X28)
| sdtasdt0(X27,X28) != sz00
| X27 = sz00
| X28 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).
cnf(c_0_115,hypothesis,
sdtasdt0(sdtasdt0(xq,xn),sz00) = sz00,
inference(rw,[status(thm)],[c_0_60,c_0_65]) ).
cnf(c_0_116,hypothesis,
aInteger0(xn),
inference(split_conjunct,[status(thm)],[m__747]) ).
cnf(c_0_117,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_108]),c_0_33]),c_0_41])]) ).
cnf(c_0_118,hypothesis,
sdtasdt0(sdtpldt0(sz00,sz10),xb) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_33]),c_0_55])]) ).
cnf(c_0_119,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xq,xn)),sdtpldt0(xa,sdtasdt0(xq,xn))) = xa,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_111]),c_0_26]),c_0_41])]),c_0_71]) ).
cnf(c_0_120,hypothesis,
aInteger0(sdtpldt0(xa,sdtasdt0(xq,xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_111]),c_0_26]),c_0_41])]) ).
cnf(c_0_121,hypothesis,
( aInteger0(sdtasdt0(X1,sdtasdt0(xq,xn)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_46]),c_0_47]),c_0_32])]) ).
cnf(c_0_122,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_123,hypothesis,
sdtasdt0(sdtasdt0(xq,xn),sz10) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_113]),c_0_46]),c_0_79]),c_0_47])]) ).
cnf(c_0_124,plain,
( X1 = sz00
| X2 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_125,hypothesis,
sdtasdt0(xq,sdtasdt0(xn,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_115]),c_0_55]),c_0_116]),c_0_32])]) ).
cnf(c_0_126,hypothesis,
( sdtpldt0(xa,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(sz00,xb)
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_117]),c_0_26])]) ).
cnf(c_0_127,hypothesis,
sdtpldt0(sz00,xb) = sdtasdt0(sz10,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_56]),c_0_79])]) ).
cnf(c_0_128,hypothesis,
( sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xn)),smndt0(sdtasdt0(xq,xn))) = xa
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_119]),c_0_120])]) ).
cnf(c_0_129,hypothesis,
( aInteger0(smndt0(sdtasdt0(xq,xn)))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_41])]) ).
cnf(c_0_130,hypothesis,
sdtasdt0(xq,sdtasdt0(xn,sz10)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_123]),c_0_79]),c_0_116]),c_0_32])]) ).
cnf(c_0_131,hypothesis,
( sdtasdt0(xn,sz00) = sz00
| ~ aInteger0(sdtasdt0(xn,sz00)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_32])]),c_0_34]) ).
cnf(c_0_132,hypothesis,
sdtpldt0(xa,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_36]),c_0_41])]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(sz10,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_127]),c_0_33])]) ).
cnf(c_0_134,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_94]),c_0_106]),c_0_106]) ).
cnf(c_0_135,hypothesis,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xq,xn)),smndt0(sdtasdt0(xq,xn))) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_36]),c_0_41])]) ).
cnf(c_0_136,hypothesis,
aInteger0(smndt0(sdtasdt0(xq,xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_36]),c_0_79])]) ).
cnf(c_0_137,hypothesis,
sdtasdt0(xq,sdtasdt0(sz10,xn)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_64]),c_0_79]),c_0_116])]) ).
cnf(c_0_138,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_106]) ).
cnf(c_0_139,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_113]),c_0_79])]) ).
cnf(c_0_140,hypothesis,
sdtasdt0(xn,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_106]),c_0_55]),c_0_116])]) ).
cnf(c_0_141,hypothesis,
sdtpldt0(xa,smndt0(sdtasdt0(xq,xn))) = xb,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_127]),c_0_133]) ).
cnf(c_0_142,hypothesis,
( aInteger0(sdtasdt0(X1,xa))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_120])]) ).
cnf(c_0_143,hypothesis,
sdtasdt0(sz10,sdtasdt0(xn,xq)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_32]),c_0_116]),c_0_79])]) ).
cnf(c_0_144,hypothesis,
sdtasdt0(xn,sdtpldt0(sz00,sz10)) = sdtpldt0(sz00,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_55]),c_0_116])]) ).
cnf(c_0_145,hypothesis,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(smndt0(xa),xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_141]),c_0_136]),c_0_26])]) ).
cnf(c_0_146,hypothesis,
( aInteger0(smndt0(xa))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_122]),c_0_26])]) ).
cnf(c_0_147,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_122]) ).
cnf(c_0_148,hypothesis,
( sdtasdt0(xn,xq) = sdtasdt0(xq,xn)
| ~ aInteger0(sdtasdt0(xn,xq)) ),
inference(spm,[status(thm)],[c_0_104,c_0_143]) ).
cnf(c_0_149,hypothesis,
sdtpldt0(sz00,xn) = sdtasdt0(xn,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_56]),c_0_79])]) ).
fof(c_0_150,negated_conjecture,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_151,hypothesis,
sdtpldt0(smndt0(xa),xb) = smndt0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_145]),c_0_136])]) ).
cnf(c_0_152,hypothesis,
aInteger0(smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_36]),c_0_79])]) ).
cnf(c_0_153,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_36]),c_0_79])]) ).
cnf(c_0_154,hypothesis,
sdtasdt0(xn,xq) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_106]),c_0_32]),c_0_116])]) ).
cnf(c_0_155,hypothesis,
sdtasdt0(xn,sz10) = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_149]),c_0_116])]) ).
cnf(c_0_156,negated_conjecture,
sdtasdt0(xq,smndt0(xn)) != sdtpldt0(xb,smndt0(xa)),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_157,hypothesis,
sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_151]),c_0_33]),c_0_152])]) ).
cnf(c_0_158,hypothesis,
sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn)) = sdtasdt0(smndt0(xn),xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_32]),c_0_116])]) ).
cnf(c_0_159,hypothesis,
( aInteger0(sdtasdt0(X1,xn))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_155]),c_0_79]),c_0_116])]) ).
cnf(c_0_160,negated_conjecture,
smndt0(sdtasdt0(xq,xn)) != sdtasdt0(xq,smndt0(xn)),
inference(rw,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_161,hypothesis,
smndt0(sdtasdt0(xq,xn)) = sdtasdt0(smndt0(xn),xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_158]),c_0_41])]) ).
cnf(c_0_162,hypothesis,
( aInteger0(smndt0(xn))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_122]),c_0_116])]) ).
cnf(c_0_163,negated_conjecture,
sdtasdt0(smndt0(xn),xq) != sdtasdt0(xq,smndt0(xn)),
inference(rw,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_164,hypothesis,
aInteger0(smndt0(xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_36]),c_0_79])]) ).
cnf(c_0_165,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_64]),c_0_32]),c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM426+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.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 09:26:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 10.88/11.01 % Version : CSE_E---1.5
% 10.88/11.01 % Problem : theBenchmark.p
% 10.88/11.01 % Proof found
% 10.88/11.01 % SZS status Theorem for theBenchmark.p
% 10.88/11.01 % SZS output start Proof
% See solution above
% 10.99/11.02 % Total time : 10.449000 s
% 10.99/11.02 % SZS output end Proof
% 10.99/11.02 % Total time : 10.453000 s
%------------------------------------------------------------------------------