TSTP Solution File: NUM428+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM428+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:37:20 EDT 2023
% Result : Theorem 0.88s 0.98s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 34
% Syntax : Number of formulae : 201 ( 77 unt; 15 typ; 0 def)
% Number of atoms : 453 ( 160 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 450 ( 183 ~; 182 |; 65 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 6 ( 2 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 : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn; 61 !; 7 ?; 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,
xc: $i ).
tff(decl_34,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_35,type,
esk2_0: $i ).
tff(decl_36,type,
esk3_0: $i ).
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/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(m__,conjecture,
( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,xq) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(m__818,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00
& aInteger0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
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/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
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/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aInteger0(X2)
& X2 != sz00
& ? [X3] :
( aInteger0(X3)
& sdtasdt0(X2,X3) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
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/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
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/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(c_0_19,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_20,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])])]) ).
fof(c_0_21,plain,
! [X4] :
( ~ aInteger0(X4)
| aInteger0(smndt0(X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
fof(c_0_22,negated_conjecture,
~ ( ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xc)) )
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq) )
=> ( ? [X1] :
( aInteger0(X1)
& sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xc)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
| sdteqdtlpzmzozddtrp0(xa,xc,xq) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_23,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])])]) ).
cnf(c_0_24,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,negated_conjecture,
! [X44] :
( aInteger0(esk2_0)
& sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aInteger0(esk3_0)
& sdtasdt0(xq,esk3_0) = sdtpldt0(xb,smndt0(xc))
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ( ~ aInteger0(X44)
| sdtasdt0(xq,X44) != sdtpldt0(xa,smndt0(xc)) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc)))
& ~ sdteqdtlpzmzozddtrp0(xa,xc,xq) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])]) ).
fof(c_0_28,plain,
! [X5,X6] :
( ~ aInteger0(X5)
| ~ aInteger0(X6)
| aInteger0(sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
cnf(c_0_29,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_31,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_32,negated_conjecture,
sdtasdt0(xq,esk3_0) = sdtpldt0(xb,smndt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_34,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,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_24,c_0_29]),c_0_30])]) ).
cnf(c_0_36,negated_conjecture,
( sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(xc))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_37,hypothesis,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_38,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk3_0))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_33])]) ).
cnf(c_0_39,negated_conjecture,
( sdtpldt0(sz00,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_33])]) ).
cnf(c_0_40,negated_conjecture,
sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_26]),c_0_37])]) ).
cnf(c_0_41,negated_conjecture,
aInteger0(sdtasdt0(xq,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(xq,esk3_0)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_26]),c_0_37])]) ).
cnf(c_0_43,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xb)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_44,negated_conjecture,
sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_33])]) ).
fof(c_0_45,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_46,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_47,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_48,negated_conjecture,
sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_26]),c_0_37])]) ).
cnf(c_0_49,negated_conjecture,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,negated_conjecture,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_37])]) ).
cnf(c_0_51,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_52,negated_conjecture,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_50,c_0_26]) ).
cnf(c_0_53,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_26]) ).
cnf(c_0_54,negated_conjecture,
sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_26]),c_0_33])]) ).
cnf(c_0_55,negated_conjecture,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0))
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_37])]) ).
cnf(c_0_56,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_31,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_55,c_0_26]) ).
cnf(c_0_58,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_26]),c_0_37])]) ).
cnf(c_0_59,negated_conjecture,
sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_26]),c_0_33])]) ).
cnf(c_0_60,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_58,c_0_26]) ).
cnf(c_0_61,negated_conjecture,
( smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk3_0))
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_29,c_0_59]) ).
cnf(c_0_62,negated_conjecture,
sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk3_0)) = sdtpldt0(sz00,smndt0(smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_26]),c_0_33])]) ).
cnf(c_0_63,negated_conjecture,
( smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk3_0))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_61,c_0_26]) ).
cnf(c_0_64,negated_conjecture,
( aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb))))
| ~ aInteger0(smndt0(smndt0(xc))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_62]),c_0_41])]) ).
cnf(c_0_65,negated_conjecture,
smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_26]),c_0_33])]) ).
cnf(c_0_66,negated_conjecture,
( aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb))))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
cnf(c_0_67,negated_conjecture,
( sdtpldt0(smndt0(xb),sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_51,c_0_65]) ).
cnf(c_0_68,negated_conjecture,
aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_26]),c_0_37])]) ).
cnf(c_0_69,negated_conjecture,
sdtpldt0(smndt0(xb),sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_26]),c_0_33])]) ).
cnf(c_0_70,negated_conjecture,
sdtpldt0(sz00,sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
inference(rw,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
aInteger0(sdtpldt0(xc,sdtasdt0(xq,esk3_0))),
inference(rw,[status(thm)],[c_0_68,c_0_59]) ).
cnf(c_0_72,negated_conjecture,
sdtpldt0(xc,sdtasdt0(xq,esk3_0)) = sdtpldt0(xb,sz00),
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_69]),c_0_70]),c_0_71]),c_0_33])]) ).
fof(c_0_73,plain,
! [X39,X40,X41] :
( ~ aInteger0(X39)
| ~ aInteger0(X40)
| ~ aInteger0(X41)
| X41 = sz00
| ~ sdteqdtlpzmzozddtrp0(X39,X40,X41)
| sdteqdtlpzmzozddtrp0(X40,X39,X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
cnf(c_0_74,negated_conjecture,
( aInteger0(sdtpldt0(sz00,smndt0(xc)))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_40]),c_0_41])]) ).
cnf(c_0_75,negated_conjecture,
sdtpldt0(smndt0(xb),sdtpldt0(xb,sz00)) = sz00,
inference(rw,[status(thm)],[c_0_69,c_0_72]) ).
cnf(c_0_76,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_77,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_78,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,negated_conjecture,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_80,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_81,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_82,negated_conjecture,
aInteger0(sdtpldt0(sz00,smndt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_26]),c_0_33])]) ).
cnf(c_0_83,negated_conjecture,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_33])]) ).
fof(c_0_84,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_85,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_77]) ).
cnf(c_0_86,negated_conjecture,
sdteqdtlpzmzozddtrp0(xc,xb,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_78,c_0_79]),c_0_80]),c_0_37]),c_0_33])]),c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( sdtpldt0(sdtpldt0(sz00,smndt0(xc)),smndt0(smndt0(xb))) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_44]),c_0_82])]) ).
cnf(c_0_88,negated_conjecture,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_83]),c_0_33])]) ).
cnf(c_0_89,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_90,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xc,smndt0(xb))),
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_85,c_0_86]),c_0_80]),c_0_33]),c_0_37])]),c_0_81]) ).
cnf(c_0_91,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aDivisorOf0(X2,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_92,negated_conjecture,
sdtpldt0(sdtpldt0(sz00,smndt0(xc)),sdtpldt0(xc,sdtasdt0(xq,esk3_0))) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_65]),c_0_65]),c_0_71])]) ).
cnf(c_0_93,negated_conjecture,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_88]),c_0_33])]) ).
cnf(c_0_94,negated_conjecture,
( sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb))
| ~ aInteger0(sdtpldt0(xc,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,negated_conjecture,
( aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq))
| ~ aInteger0(sdtpldt0(xc,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_91,c_0_90]) ).
cnf(c_0_96,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_47]) ).
cnf(c_0_97,negated_conjecture,
sdtpldt0(sdtpldt0(sz00,smndt0(xc)),xb) = sdtasdt0(xq,esk3_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_72]),c_0_88]),c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk3_0),X1)
| ~ aInteger0(smndt0(xc))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_33])]) ).
cnf(c_0_99,negated_conjecture,
( sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(smndt0(xc))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_62]),c_0_41])]) ).
fof(c_0_100,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_101,negated_conjecture,
( sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_34]),c_0_37])]) ).
cnf(c_0_102,negated_conjecture,
( aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_34]),c_0_37])]) ).
cnf(c_0_103,negated_conjecture,
( sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk3_0)
| ~ aInteger0(smndt0(xc)) ),
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_93]),c_0_33]),c_0_30])]) ).
cnf(c_0_104,negated_conjecture,
( sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk3_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_26]),c_0_37])]) ).
cnf(c_0_105,negated_conjecture,
( sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_99,c_0_26]) ).
cnf(c_0_106,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_107,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_108,negated_conjecture,
sdtasdt0(xq,esk1_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_26]),c_0_33])]) ).
cnf(c_0_109,negated_conjecture,
aInteger0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_26]),c_0_33])]) ).
fof(c_0_110,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_111,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_112,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_24]),c_0_34]) ).
cnf(c_0_113,negated_conjecture,
sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_26]),c_0_37])]) ).
cnf(c_0_114,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk3_0),xc) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_25]),c_0_88]),c_0_93]),c_0_37])]) ).
cnf(c_0_115,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(sz00,smndt0(smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_26]),c_0_37])]) ).
cnf(c_0_116,negated_conjecture,
aDivisorOf0(xq,sdtasdt0(xq,esk3_0)),
inference(rw,[status(thm)],[c_0_106,c_0_32]) ).
cnf(c_0_117,negated_conjecture,
( sdtasdt0(xq,sdtasdt0(esk1_2(sdtpldt0(xc,smndt0(xb)),xq),X1)) = sdtasdt0(sdtpldt0(xc,smndt0(xb)),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]),c_0_80])]) ).
cnf(c_0_118,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_119,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0)))) = sz00
| ~ aInteger0(smndt0(sdtasdt0(xq,esk3_0)))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_33])]) ).
cnf(c_0_121,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(xq,esk3_0)),xb) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_114]),c_0_37]),c_0_41])]) ).
fof(c_0_122,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_123,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(xc,sdtasdt0(xq,esk3_0)),
inference(rw,[status(thm)],[c_0_115,c_0_59]) ).
cnf(c_0_124,negated_conjecture,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,esk3_0),xq)) = sdtasdt0(xq,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_116]),c_0_41])]) ).
cnf(c_0_125,negated_conjecture,
aInteger0(esk1_2(sdtasdt0(xq,esk3_0),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_116]),c_0_41])]) ).
cnf(c_0_126,negated_conjecture,
sdtasdt0(sdtpldt0(xc,smndt0(xb)),sz00) = sdtasdt0(xq,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_30]),c_0_109])]) ).
cnf(c_0_127,negated_conjecture,
aInteger0(sdtpldt0(xc,smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_108]),c_0_109]),c_0_80])]) ).
cnf(c_0_128,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_25]),c_0_30])]) ).
cnf(c_0_129,negated_conjecture,
( sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0)))) = sz00
| ~ aInteger0(smndt0(sdtasdt0(xq,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_26]),c_0_37])]) ).
cnf(c_0_130,negated_conjecture,
( sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0))) = sdtpldt0(sz00,xc)
| ~ aInteger0(smndt0(sdtasdt0(xq,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_121]),c_0_33])]) ).
cnf(c_0_131,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_122]) ).
cnf(c_0_132,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = sdtpldt0(xb,sz00),
inference(rw,[status(thm)],[c_0_123,c_0_72]) ).
cnf(c_0_133,negated_conjecture,
( sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,esk3_0),xq),X1)) = sdtasdt0(sdtasdt0(xq,esk3_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_124]),c_0_125]),c_0_80])]) ).
cnf(c_0_134,negated_conjecture,
sdtasdt0(xq,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_126]),c_0_127])]) ).
cnf(c_0_135,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_26]),c_0_30])]) ).
cnf(c_0_136,negated_conjecture,
sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0)))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_26]),c_0_41])]) ).
cnf(c_0_137,negated_conjecture,
sdtpldt0(xb,smndt0(sdtasdt0(xq,esk3_0))) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_26]),c_0_41])]) ).
cnf(c_0_138,plain,
( sdtpldt0(sdtasdt0(X1,sz00),sz00) = sdtasdt0(sdtpldt0(X1,X2),sz00)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_118]),c_0_30])]) ).
cnf(c_0_139,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk3_0),smndt0(smndt0(xc))) = xb,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_88]),c_0_93]) ).
cnf(c_0_140,negated_conjecture,
sdtasdt0(sdtasdt0(xq,esk3_0),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_118]),c_0_134]),c_0_30]),c_0_125])]) ).
cnf(c_0_141,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_135]),c_0_30])]) ).
cnf(c_0_142,negated_conjecture,
sdtpldt0(smndt0(xc),sdtpldt0(sz00,xc)) = sz00,
inference(rw,[status(thm)],[c_0_136,c_0_137]) ).
fof(c_0_143,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_144,negated_conjecture,
( sdtasdt0(xb,sz00) = sz00
| ~ aInteger0(smndt0(smndt0(xc))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]),c_0_41])]) ).
cnf(c_0_145,negated_conjecture,
sdtpldt0(smndt0(xc),xc) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_29]),c_0_37])]) ).
cnf(c_0_146,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_122]) ).
cnf(c_0_147,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_148,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_149,negated_conjecture,
( sdtasdt0(xb,sz00) = sz00
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_144,c_0_26]) ).
cnf(c_0_150,negated_conjecture,
sdtpldt0(xc,sz00) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_145]),c_0_37])]) ).
cnf(c_0_151,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_146,c_0_147]),c_0_148])]) ).
cnf(c_0_152,negated_conjecture,
sdtasdt0(xb,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_26]),c_0_37])]) ).
cnf(c_0_153,plain,
( aInteger0(sdtasdt0(sdtpldt0(X1,X2),X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_131]),c_0_119]),c_0_119]) ).
cnf(c_0_154,negated_conjecture,
sdtpldt0(sz00,xc) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_150]),c_0_37])]) ).
fof(c_0_155,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_156,negated_conjecture,
sdtasdt0(xb,sdtpldt0(sz00,sz10)) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_93]),c_0_30]),c_0_33])]) ).
cnf(c_0_157,negated_conjecture,
( aInteger0(sdtasdt0(xc,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_37]),c_0_30])]) ).
cnf(c_0_158,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_159,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_107]),c_0_119]) ).
cnf(c_0_160,negated_conjecture,
sdtasdt0(xb,sz10) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_29]),c_0_148])]) ).
cnf(c_0_161,negated_conjecture,
( sdtpldt0(xc,smndt0(xc)) = sz00
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_145]),c_0_37])]) ).
cnf(c_0_162,negated_conjecture,
( aInteger0(smndt0(xc))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_37])]) ).
cnf(c_0_163,negated_conjecture,
( aInteger0(sdtasdt0(X1,xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_148]),c_0_33])]) ).
cnf(c_0_164,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_165,negated_conjecture,
sdtpldt0(xc,smndt0(xc)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_26]),c_0_37])]) ).
cnf(c_0_166,negated_conjecture,
aInteger0(smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_26]),c_0_148])]) ).
cnf(c_0_167,negated_conjecture,
sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_168,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_169,negated_conjecture,
( aInteger0(smndt0(xb))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_33])]) ).
cnf(c_0_170,negated_conjecture,
sdtpldt0(smndt0(xc),sz00) = sdtpldt0(sz00,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_165]),c_0_37])]),c_0_166])]) ).
cnf(c_0_171,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_167]),c_0_168])]) ).
cnf(c_0_172,negated_conjecture,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_26]),c_0_148])]) ).
cnf(c_0_173,negated_conjecture,
sdtpldt0(sz00,smndt0(xc)) = smndt0(xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_170]),c_0_166])]) ).
cnf(c_0_174,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).
cnf(c_0_175,negated_conjecture,
sdtpldt0(smndt0(xb),sdtasdt0(xq,esk3_0)) = smndt0(xc),
inference(rw,[status(thm)],[c_0_40,c_0_173]) ).
cnf(c_0_176,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),sdtasdt0(xq,esk3_0)) = sdtpldt0(xa,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_41])]) ).
cnf(c_0_177,negated_conjecture,
aInteger0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_178,negated_conjecture,
aInteger0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_179,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_180,negated_conjecture,
sdtpldt0(xa,smndt0(xc)) = sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_176]),c_0_177]),c_0_178]),c_0_80])]) ).
cnf(c_0_181,plain,
( X1 = sz00
| aDivisorOf0(X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,X2) != X3
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_182,negated_conjecture,
~ aDivisorOf0(xq,sdtasdt0(xq,sdtpldt0(esk2_0,esk3_0))),
inference(rw,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_183,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_181]),c_0_119]) ).
cnf(c_0_184,negated_conjecture,
~ aInteger0(sdtpldt0(esk2_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_80])]),c_0_81]) ).
cnf(c_0_185,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_34]),c_0_177]),c_0_178])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM428+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n005.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 17:47:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.88/0.98 % Version : CSE_E---1.5
% 0.88/0.98 % Problem : theBenchmark.p
% 0.88/0.98 % Proof found
% 0.88/0.98 % SZS status Theorem for theBenchmark.p
% 0.88/0.98 % SZS output start Proof
% See solution above
% 0.96/1.00 % Total time : 0.415000 s
% 0.96/1.00 % SZS output end Proof
% 0.96/1.00 % Total time : 0.418000 s
%------------------------------------------------------------------------------