TSTP Solution File: NUM428+3 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM428+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:55:42 EDT 2023
% Result : Theorem 4.63s 1.01s
% Output : CNFRefutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 20
% Syntax : Number of formulae : 186 ( 71 unt; 0 def)
% Number of atoms : 463 ( 163 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 468 ( 191 ~; 190 |; 66 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% 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 : 148 ( 0 sgn; 65 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mAddAsso) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mAddNeg) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.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/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',m__) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mAddZero) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mIntPlus) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mIntZero) ).
fof(m__818,hypothesis,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xq)
& xq != sz00
& aInteger0(xc) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',m__818) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.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/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.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/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.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/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.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/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mMulAsso) ).
fof(mMulZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mMulZero) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mIntMult) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mMulComm) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mMulMinOne) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.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/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mDistrib) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p',mMulOne) ).
fof(c_0_20,plain,
! [X22,X23,X24] :
( ~ aInteger0(X22)
| ~ aInteger0(X23)
| ~ aInteger0(X24)
| sdtpldt0(X22,sdtpldt0(X23,X24)) = sdtpldt0(sdtpldt0(X22,X23),X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
fof(c_0_21,plain,
! [X28] :
( ( sdtpldt0(X28,smndt0(X28)) = sz00
| ~ aInteger0(X28) )
& ( sz00 = sdtpldt0(smndt0(X28),X28)
| ~ aInteger0(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
fof(c_0_22,plain,
! [X32] :
( ~ aInteger0(X32)
| aInteger0(smndt0(X32)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
fof(c_0_23,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_24,plain,
! [X27] :
( ( sdtpldt0(X27,sz00) = X27
| ~ aInteger0(X27) )
& ( X27 = sdtpldt0(sz00,X27)
| ~ aInteger0(X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_25,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,negated_conjecture,
! [X6] :
( aInteger0(esk1_0)
& sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb))
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aInteger0(esk2_0)
& sdtasdt0(xq,esk2_0) = sdtpldt0(xb,smndt0(xc))
& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
& sdteqdtlpzmzozddtrp0(xb,xc,xq)
& ( ~ aInteger0(X6)
| sdtasdt0(xq,X6) != 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_23])])])]) ).
fof(c_0_29,plain,
! [X20,X21] :
( ~ aInteger0(X20)
| ~ aInteger0(X21)
| aInteger0(sdtpldt0(X20,X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
cnf(c_0_30,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_32,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_33,negated_conjecture,
sdtasdt0(xq,esk2_0) = sdtpldt0(xb,smndt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_35,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,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_25,c_0_30]),c_0_31])]) ).
cnf(c_0_37,negated_conjecture,
( sdtpldt0(smndt0(xb),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xc))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_38,hypothesis,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_39,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_34])]) ).
cnf(c_0_40,negated_conjecture,
( sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_34])]) ).
cnf(c_0_41,negated_conjecture,
sdtpldt0(smndt0(xb),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_38])]) ).
cnf(c_0_42,negated_conjecture,
aInteger0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_38])]) ).
cnf(c_0_43,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_27]),c_0_38])]) ).
cnf(c_0_44,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xb)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_45,negated_conjecture,
sdtpldt0(smndt0(smndt0(xb)),sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_27]),c_0_34])]) ).
fof(c_0_46,plain,
! [X25,X26] :
( ~ aInteger0(X25)
| ~ aInteger0(X26)
| sdtpldt0(X25,X26) = sdtpldt0(X26,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_47,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
cnf(c_0_48,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_49,negated_conjecture,
sdtpldt0(smndt0(smndt0(xb)),smndt0(xc)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_27]),c_0_38])]) ).
cnf(c_0_50,negated_conjecture,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_27]),c_0_38])]) ).
cnf(c_0_52,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_51,c_0_27]) ).
cnf(c_0_54,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_52]),c_0_27]) ).
cnf(c_0_55,negated_conjecture,
sdtpldt0(smndt0(xc),smndt0(smndt0(xb))) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_27]),c_0_34])]) ).
cnf(c_0_56,negated_conjecture,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_38])]) ).
cnf(c_0_57,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_32,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_56,c_0_27]) ).
cnf(c_0_59,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_27]),c_0_38])]) ).
fof(c_0_60,plain,
! [X12,X13,X14] :
( ~ aInteger0(X12)
| ~ aInteger0(X13)
| ~ aInteger0(X14)
| X14 = sz00
| ~ sdteqdtlpzmzozddtrp0(X12,X13,X14)
| sdteqdtlpzmzozddtrp0(X13,X12,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModSym])]) ).
cnf(c_0_61,negated_conjecture,
sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(xc,sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_27]),c_0_34])]) ).
cnf(c_0_62,negated_conjecture,
( sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(smndt0(xb)))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_59,c_0_27]) ).
fof(c_0_63,plain,
! [X7,X8,X9] :
( ( ~ sdteqdtlpzmzozddtrp0(X7,X8,X9)
| aDivisorOf0(X9,sdtpldt0(X7,smndt0(X8)))
| ~ aInteger0(X7)
| ~ aInteger0(X8)
| ~ aInteger0(X9)
| X9 = sz00 )
& ( ~ aDivisorOf0(X9,sdtpldt0(X7,smndt0(X8)))
| sdteqdtlpzmzozddtrp0(X7,X8,X9)
| ~ aInteger0(X7)
| ~ aInteger0(X8)
| ~ aInteger0(X9)
| X9 = sz00 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquMod])])]) ).
cnf(c_0_64,plain,
( X3 = sz00
| sdteqdtlpzmzozddtrp0(X2,X1,X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_66,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_67,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_68,negated_conjecture,
( smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_30,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
sdtpldt0(smndt0(smndt0(xc)),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(smndt0(xb))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_27]),c_0_34])]) ).
fof(c_0_70,plain,
! [X15,X16,X18,X19] :
( ( aInteger0(X16)
| ~ aDivisorOf0(X16,X15)
| ~ aInteger0(X15) )
& ( X16 != sz00
| ~ aDivisorOf0(X16,X15)
| ~ aInteger0(X15) )
& ( aInteger0(esk3_2(X15,X16))
| ~ aDivisorOf0(X16,X15)
| ~ aInteger0(X15) )
& ( sdtasdt0(X16,esk3_2(X15,X16)) = X15
| ~ aDivisorOf0(X16,X15)
| ~ aInteger0(X15) )
& ( ~ aInteger0(X18)
| X18 = sz00
| ~ aInteger0(X19)
| sdtasdt0(X18,X19) != X15
| aDivisorOf0(X18,X15)
| ~ aInteger0(X15) ) ),
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_71,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_63]) ).
cnf(c_0_72,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_64,c_0_65]),c_0_66]),c_0_38]),c_0_34])]),c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_68,c_0_27]) ).
cnf(c_0_74,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_35,c_0_69]),c_0_42])]) ).
cnf(c_0_75,plain,
( sdtasdt0(X1,esk3_2(X2,X1)) = X2
| ~ aDivisorOf0(X1,X2)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,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_71,c_0_72]),c_0_66]),c_0_34]),c_0_38])]),c_0_67]) ).
cnf(c_0_77,plain,
( aInteger0(esk3_2(X1,X2))
| ~ aDivisorOf0(X2,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,negated_conjecture,
smndt0(smndt0(xb)) = sdtpldt0(xc,sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_27]),c_0_34])]) ).
cnf(c_0_79,negated_conjecture,
( aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb))))
| ~ aInteger0(smndt0(xc)) ),
inference(spm,[status(thm)],[c_0_74,c_0_27]) ).
cnf(c_0_80,negated_conjecture,
( sdtasdt0(xq,esk3_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb))
| ~ aInteger0(sdtpldt0(xc,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( aInteger0(esk3_2(sdtpldt0(xc,smndt0(xb)),xq))
| ~ aInteger0(sdtpldt0(xc,smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( sdtpldt0(smndt0(xb),sdtpldt0(xc,sdtasdt0(xq,esk2_0))) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_52,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
aInteger0(sdtpldt0(sz00,smndt0(smndt0(xb)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_27]),c_0_38])]) ).
fof(c_0_84,plain,
! [X36,X37,X38] :
( ~ aInteger0(X36)
| ~ aInteger0(X37)
| ~ aInteger0(X38)
| sdtasdt0(X36,sdtasdt0(X37,X38)) = sdtasdt0(sdtasdt0(X36,X37),X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
cnf(c_0_85,negated_conjecture,
( sdtasdt0(xq,esk3_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_80,c_0_35]),c_0_38])]) ).
cnf(c_0_86,negated_conjecture,
( aInteger0(esk3_2(sdtpldt0(xc,smndt0(xb)),xq))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_35]),c_0_38])]) ).
cnf(c_0_87,negated_conjecture,
sdtpldt0(smndt0(xb),sdtpldt0(xc,sdtasdt0(xq,esk2_0))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_27]),c_0_34])]) ).
cnf(c_0_88,negated_conjecture,
sdtpldt0(sz00,sdtpldt0(xc,sdtasdt0(xq,esk2_0))) = sdtpldt0(xc,sdtasdt0(xq,esk2_0)),
inference(rw,[status(thm)],[c_0_61,c_0_78]) ).
cnf(c_0_89,negated_conjecture,
aInteger0(sdtpldt0(xc,sdtasdt0(xq,esk2_0))),
inference(rw,[status(thm)],[c_0_83,c_0_61]) ).
cnf(c_0_90,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,negated_conjecture,
sdtasdt0(xq,esk3_2(sdtpldt0(xc,smndt0(xb)),xq)) = sdtpldt0(xc,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_27]),c_0_34])]) ).
cnf(c_0_92,negated_conjecture,
aInteger0(esk3_2(sdtpldt0(xc,smndt0(xb)),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_27]),c_0_34])]) ).
fof(c_0_93,plain,
! [X42] :
( ( sdtasdt0(X42,sz00) = sz00
| ~ aInteger0(X42) )
& ( sz00 = sdtasdt0(sz00,X42)
| ~ aInteger0(X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(c_0_94,plain,
! [X34,X35] :
( ~ aInteger0(X34)
| ~ aInteger0(X35)
| aInteger0(sdtasdt0(X34,X35)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
cnf(c_0_95,negated_conjecture,
sdtpldt0(xc,sdtasdt0(xq,esk2_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_54,c_0_87]),c_0_88]),c_0_89]),c_0_34])]) ).
cnf(c_0_96,negated_conjecture,
( sdtasdt0(xq,sdtasdt0(esk3_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_90,c_0_91]),c_0_92]),c_0_66])]) ).
cnf(c_0_97,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_98,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( aInteger0(sdtpldt0(sz00,smndt0(xc)))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_42])]) ).
cnf(c_0_100,negated_conjecture,
sdtpldt0(smndt0(xb),sdtpldt0(xb,sz00)) = sz00,
inference(rw,[status(thm)],[c_0_87,c_0_95]) ).
cnf(c_0_101,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_102,plain,
! [X39,X40] :
( ~ aInteger0(X39)
| ~ aInteger0(X40)
| sdtasdt0(X39,X40) = sdtasdt0(X40,X39) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_103,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_96,c_0_97]),c_0_31]),c_0_92])]) ).
cnf(c_0_104,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_98,c_0_91]),c_0_92]),c_0_66])]) ).
cnf(c_0_105,negated_conjecture,
aInteger0(sdtpldt0(sz00,smndt0(xc))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_27]),c_0_34])]) ).
cnf(c_0_106,negated_conjecture,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_34])]) ).
cnf(c_0_107,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_108,negated_conjecture,
sdtasdt0(xq,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_103]),c_0_104])]) ).
cnf(c_0_109,negated_conjecture,
( sdtpldt0(sdtpldt0(sz00,smndt0(xc)),smndt0(smndt0(xb))) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_105])]) ).
cnf(c_0_110,negated_conjecture,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_106]),c_0_34])]) ).
cnf(c_0_111,negated_conjecture,
sdtasdt0(sz00,xq) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_31]),c_0_66])]) ).
fof(c_0_112,plain,
! [X33] :
( ( sdtasdt0(smndt0(sz10),X33) = smndt0(X33)
| ~ aInteger0(X33) )
& ( smndt0(X33) = sdtasdt0(X33,smndt0(sz10))
| ~ aInteger0(X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
cnf(c_0_113,negated_conjecture,
sdtpldt0(sdtpldt0(sz00,smndt0(xc)),sdtpldt0(xc,sdtasdt0(xq,esk2_0))) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_78]),c_0_78]),c_0_89])]) ).
cnf(c_0_114,negated_conjecture,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_110]),c_0_34])]) ).
cnf(c_0_115,negated_conjecture,
( 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_90,c_0_111]),c_0_66]),c_0_31])]) ).
cnf(c_0_116,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_117,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_48]) ).
cnf(c_0_118,negated_conjecture,
sdtpldt0(sdtpldt0(sz00,smndt0(xc)),xb) = sdtasdt0(xq,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_95]),c_0_110]),c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(smndt0(xc))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_34])]) ).
cnf(c_0_120,negated_conjecture,
( sdtasdt0(sz00,smndt0(sz10)) = sdtasdt0(sz00,smndt0(xq))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_66])]) ).
cnf(c_0_121,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_122,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_26]),c_0_31])]) ).
cnf(c_0_123,negated_conjecture,
( sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk2_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_117,c_0_118]),c_0_114]),c_0_34]),c_0_31])]) ).
cnf(c_0_124,negated_conjecture,
( sdtpldt0(xb,sdtpldt0(smndt0(xc),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_27]),c_0_38])]) ).
cnf(c_0_125,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_126,negated_conjecture,
sdtasdt0(sz00,smndt0(sz10)) = sdtasdt0(sz00,smndt0(xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_27]),c_0_121])]) ).
cnf(c_0_127,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_27]),c_0_31])]) ).
cnf(c_0_128,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_52,c_0_25]),c_0_35]) ).
cnf(c_0_129,negated_conjecture,
sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_27]),c_0_38])]) ).
cnf(c_0_130,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_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_124,c_0_26]),c_0_110]),c_0_114]),c_0_38])]) ).
cnf(c_0_131,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_90,c_0_125]),c_0_31])]) ).
cnf(c_0_132,negated_conjecture,
sdtasdt0(sz00,smndt0(xq)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_126]),c_0_127]),c_0_31])]) ).
cnf(c_0_133,negated_conjecture,
( sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk2_0)))) = sz00
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_34])]) ).
cnf(c_0_134,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(xq,esk2_0)),xb) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_130]),c_0_38]),c_0_42])]) ).
cnf(c_0_135,plain,
( sdtasdt0(sz00,smndt0(X1)) = sz00
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_116]),c_0_126]),c_0_132]) ).
cnf(c_0_136,negated_conjecture,
( sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk2_0)))) = sz00
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_27]),c_0_38])]) ).
cnf(c_0_137,negated_conjecture,
( sdtpldt0(xb,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(sz00,xc)
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_134]),c_0_34])]) ).
cnf(c_0_138,plain,
( sdtasdt0(sz00,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_27]),c_0_121])]) ).
cnf(c_0_139,negated_conjecture,
smndt0(smndt0(xb)) = sdtpldt0(xb,sz00),
inference(rw,[status(thm)],[c_0_78,c_0_95]) ).
cnf(c_0_140,negated_conjecture,
sdtpldt0(smndt0(xc),sdtpldt0(xb,smndt0(sdtasdt0(xq,esk2_0)))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_27]),c_0_42])]) ).
cnf(c_0_141,negated_conjecture,
sdtpldt0(xb,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_27]),c_0_42])]) ).
cnf(c_0_142,negated_conjecture,
( sdtasdt0(sz00,sdtpldt0(xb,sz00)) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
sdtpldt0(smndt0(xc),sdtpldt0(sz00,xc)) = sz00,
inference(rw,[status(thm)],[c_0_140,c_0_141]) ).
fof(c_0_144,plain,
! [X29,X30,X31] :
( ( sdtasdt0(X29,sdtpldt0(X30,X31)) = sdtpldt0(sdtasdt0(X29,X30),sdtasdt0(X29,X31))
| ~ aInteger0(X29)
| ~ aInteger0(X30)
| ~ aInteger0(X31) )
& ( sdtasdt0(sdtpldt0(X29,X30),X31) = sdtpldt0(sdtasdt0(X29,X31),sdtasdt0(X30,X31))
| ~ aInteger0(X29)
| ~ aInteger0(X30)
| ~ aInteger0(X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
fof(c_0_145,plain,
! [X41] :
( ( sdtasdt0(X41,sz10) = X41
| ~ aInteger0(X41) )
& ( X41 = sdtasdt0(sz10,X41)
| ~ aInteger0(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
cnf(c_0_146,negated_conjecture,
( sdtasdt0(sz00,sdtpldt0(sz00,xb)) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(rw,[status(thm)],[c_0_142,c_0_110]) ).
cnf(c_0_147,negated_conjecture,
sdtpldt0(smndt0(xc),xc) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_30]),c_0_38])]) ).
cnf(c_0_148,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_144]) ).
cnf(c_0_149,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_150,negated_conjecture,
( sdtasdt0(sz00,xb) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(rw,[status(thm)],[c_0_146,c_0_114]) ).
cnf(c_0_151,negated_conjecture,
sdtpldt0(xc,sz00) = sdtpldt0(sz00,xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_147]),c_0_38])]) ).
cnf(c_0_152,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_148,c_0_149]),c_0_121])]) ).
cnf(c_0_153,negated_conjecture,
sdtasdt0(sz00,xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_27]),c_0_34])]) ).
cnf(c_0_154,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_35,c_0_148]),c_0_98]),c_0_98]) ).
cnf(c_0_155,negated_conjecture,
sdtpldt0(sz00,xc) = xc,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_151]),c_0_38])]) ).
cnf(c_0_156,negated_conjecture,
sdtasdt0(sdtpldt0(sz00,sz10),xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_114]),c_0_34]),c_0_31])]) ).
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_154,c_0_155]),c_0_38]),c_0_31])]) ).
cnf(c_0_158,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_90]),c_0_98]) ).
cnf(c_0_159,negated_conjecture,
sdtasdt0(sz10,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_30]),c_0_121])]) ).
cnf(c_0_160,negated_conjecture,
( sdtpldt0(xc,smndt0(xc)) = sz00
| ~ aInteger0(smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_147]),c_0_38])]) ).
cnf(c_0_161,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_116]),c_0_38])]) ).
cnf(c_0_162,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_158,c_0_159]),c_0_34]),c_0_121])]) ).
cnf(c_0_163,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_164,negated_conjecture,
sdtpldt0(xc,smndt0(xc)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_27]),c_0_38])]) ).
cnf(c_0_165,negated_conjecture,
aInteger0(smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_27]),c_0_121])]) ).
cnf(c_0_166,negated_conjecture,
sdtasdt0(xq,esk1_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_167,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_168,negated_conjecture,
( aInteger0(smndt0(xb))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_34])]) ).
cnf(c_0_169,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_32,c_0_164]),c_0_38])]),c_0_165])]) ).
cnf(c_0_170,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk1_0),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_166]),c_0_167])]) ).
cnf(c_0_171,negated_conjecture,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_27]),c_0_121])]) ).
cnf(c_0_172,negated_conjecture,
sdtpldt0(sz00,smndt0(xc)) = smndt0(xc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_169]),c_0_165])]) ).
cnf(c_0_173,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk1_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_174,negated_conjecture,
sdtpldt0(smndt0(xb),sdtasdt0(xq,esk2_0)) = smndt0(xc),
inference(rw,[status(thm)],[c_0_41,c_0_172]) ).
cnf(c_0_175,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_144]) ).
cnf(c_0_176,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk1_0),sdtasdt0(xq,esk2_0)) = sdtpldt0(xa,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_42])]) ).
cnf(c_0_177,negated_conjecture,
aInteger0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_178,negated_conjecture,
aInteger0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_179,negated_conjecture,
~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xc))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_180,negated_conjecture,
sdtpldt0(xa,smndt0(xc)) = sdtasdt0(xq,sdtpldt0(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_178]),c_0_66])]) ).
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_70]) ).
cnf(c_0_182,negated_conjecture,
~ aDivisorOf0(xq,sdtasdt0(xq,sdtpldt0(esk1_0,esk2_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_98]) ).
cnf(c_0_184,negated_conjecture,
~ aInteger0(sdtpldt0(esk1_0,esk2_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_66])]),c_0_67]) ).
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_35]),c_0_177]),c_0_178])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM428+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 14:50:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.RVG9mER6sq/E---3.1_7760.p
% 4.63/1.01 # Version: 3.1pre001
% 4.63/1.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.63/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.63/1.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.63/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.63/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.63/1.01 # Starting sh5l with 300s (1) cores
% 4.63/1.01 # sh5l with pid 7841 completed with status 0
% 4.63/1.01 # Result found by sh5l
% 4.63/1.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.63/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.63/1.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.63/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.63/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.63/1.01 # Starting sh5l with 300s (1) cores
% 4.63/1.01 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.63/1.01 # Search class: FGHSF-FFMM21-SFFFFFNN
% 4.63/1.01 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.63/1.01 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 4.63/1.01 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 7849 completed with status 0
% 4.63/1.01 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 4.63/1.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.63/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.63/1.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.63/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.63/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.63/1.01 # Starting sh5l with 300s (1) cores
% 4.63/1.01 # SinE strategy is gf500_gu_R04_F100_L20000
% 4.63/1.01 # Search class: FGHSF-FFMM21-SFFFFFNN
% 4.63/1.01 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 4.63/1.01 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 163s (1) cores
% 4.63/1.01 # Preprocessing time : 0.001 s
% 4.63/1.01 # Presaturation interreduction done
% 4.63/1.01
% 4.63/1.01 # Proof found!
% 4.63/1.01 # SZS status Theorem
% 4.63/1.01 # SZS output start CNFRefutation
% See solution above
% 4.63/1.01 # Parsed axioms : 23
% 4.63/1.01 # Removed by relevancy pruning/SinE : 0
% 4.63/1.01 # Initial clauses : 48
% 4.63/1.01 # Removed in clause preprocessing : 1
% 4.63/1.01 # Initial clauses in saturation : 47
% 4.63/1.01 # Processed clauses : 4038
% 4.63/1.01 # ...of these trivial : 254
% 4.63/1.01 # ...subsumed : 2158
% 4.63/1.01 # ...remaining for further processing : 1626
% 4.63/1.01 # Other redundant clauses eliminated : 3
% 4.63/1.01 # Clauses deleted for lack of memory : 0
% 4.63/1.01 # Backward-subsumed : 73
% 4.63/1.01 # Backward-rewritten : 642
% 4.63/1.01 # Generated clauses : 30463
% 4.63/1.01 # ...of the previous two non-redundant : 26989
% 4.63/1.01 # ...aggressively subsumed : 0
% 4.63/1.01 # Contextual simplify-reflections : 99
% 4.63/1.01 # Paramodulations : 30460
% 4.63/1.01 # Factorizations : 0
% 4.63/1.01 # NegExts : 0
% 4.63/1.01 # Equation resolutions : 3
% 4.63/1.01 # Total rewrite steps : 42461
% 4.63/1.01 # Propositional unsat checks : 0
% 4.63/1.01 # Propositional check models : 0
% 4.63/1.01 # Propositional check unsatisfiable : 0
% 4.63/1.01 # Propositional clauses : 0
% 4.63/1.01 # Propositional clauses after purity: 0
% 4.63/1.01 # Propositional unsat core size : 0
% 4.63/1.01 # Propositional preprocessing time : 0.000
% 4.63/1.01 # Propositional encoding time : 0.000
% 4.63/1.01 # Propositional solver time : 0.000
% 4.63/1.01 # Success case prop preproc time : 0.000
% 4.63/1.01 # Success case prop encoding time : 0.000
% 4.63/1.01 # Success case prop solver time : 0.000
% 4.63/1.01 # Current number of processed clauses : 862
% 4.63/1.01 # Positive orientable unit clauses : 382
% 4.63/1.01 # Positive unorientable unit clauses: 0
% 4.63/1.01 # Negative unit clauses : 9
% 4.63/1.01 # Non-unit-clauses : 471
% 4.63/1.01 # Current number of unprocessed clauses: 22878
% 4.63/1.01 # ...number of literals in the above : 81551
% 4.63/1.01 # Current number of archived formulas : 0
% 4.63/1.01 # Current number of archived clauses : 762
% 4.63/1.01 # Clause-clause subsumption calls (NU) : 92594
% 4.63/1.01 # Rec. Clause-clause subsumption calls : 44051
% 4.63/1.01 # Non-unit clause-clause subsumptions : 1581
% 4.63/1.01 # Unit Clause-clause subsumption calls : 18548
% 4.63/1.01 # Rewrite failures with RHS unbound : 0
% 4.63/1.01 # BW rewrite match attempts : 459
% 4.63/1.01 # BW rewrite match successes : 191
% 4.63/1.01 # Condensation attempts : 0
% 4.63/1.01 # Condensation successes : 0
% 4.63/1.01 # Termbank termtop insertions : 657972
% 4.63/1.01
% 4.63/1.01 # -------------------------------------------------
% 4.63/1.01 # User time : 0.531 s
% 4.63/1.01 # System time : 0.019 s
% 4.63/1.01 # Total time : 0.550 s
% 4.63/1.01 # Maximum resident set size: 1900 pages
% 4.63/1.01
% 4.63/1.01 # -------------------------------------------------
% 4.63/1.01 # User time : 0.532 s
% 4.63/1.01 # System time : 0.021 s
% 4.63/1.01 # Total time : 0.553 s
% 4.63/1.01 # Maximum resident set size: 1700 pages
% 4.63/1.01 % E---3.1 exiting
% 4.63/1.01 % E---3.1 exiting
%------------------------------------------------------------------------------