TSTP Solution File: NUM454+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM454+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:32:35 EDT 2022
% Result : Theorem 0.25s 1.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 16
% Syntax : Number of formulae : 109 ( 46 unt; 0 def)
% Number of atoms : 236 ( 112 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 220 ( 93 ~; 91 |; 23 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdtpldt0(sz10,xp) != smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntOne) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddNeg) ).
fof(m__2171,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2171) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntZero) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulMinOne) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulAsso) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulOne) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistrib) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
fof(mZeroDiv,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X1 = sz00
| X2 = sz00 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mZeroDiv) ).
fof(c_0_16,negated_conjecture,
~ ( sdtpldt0(sz10,xp) != smndt0(sz10)
| sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,negated_conjecture,
( sdtpldt0(sz10,xp) = smndt0(sz10)
& sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10) ),
inference(fof_nnf,[status(thm)],[c_0_16]) ).
fof(c_0_18,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X4,X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_19,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
sdtpldt0(sz10,smndt0(xp)) = sdtpldt0(sz10,xp),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
fof(c_0_24,plain,
! [X2] :
( ( sdtpldt0(X2,smndt0(X2)) = sz00
| ~ aInteger0(X2) )
& ( sz00 = sdtpldt0(smndt0(X2),X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).
cnf(c_0_25,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(smndt0(xp),X1)) = sdtpldt0(sdtpldt0(sz10,xp),X1)
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_27,hypothesis,
aInteger0(xp),
inference(split_conjunct,[status(thm)],[m__2171]) ).
fof(c_0_28,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_30,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),xp) = sdtpldt0(sz10,sz00)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_31,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_32,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aInteger0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
cnf(c_0_33,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),xp) = sdtpldt0(sz10,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_27])]) ).
cnf(c_0_35,negated_conjecture,
aInteger0(sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_23])]) ).
fof(c_0_36,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
cnf(c_0_37,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_38,negated_conjecture,
sdtpldt0(sz10,sz00) = sdtpldt0(xp,sdtpldt0(sz10,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_27]),c_0_35])]) ).
cnf(c_0_39,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_40,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
sdtpldt0(xp,sdtpldt0(sz10,xp)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23])]) ).
cnf(c_0_43,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_26]),c_0_39])]) ).
cnf(c_0_44,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_21]),c_0_31]),c_0_41]) ).
cnf(c_0_45,negated_conjecture,
sdtpldt0(xp,sdtpldt0(xp,sz10)) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_33]),c_0_27]),c_0_23])]) ).
cnf(c_0_46,negated_conjecture,
aInteger0(sdtpldt0(xp,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_27]),c_0_23])]) ).
cnf(c_0_47,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_39])]) ).
cnf(c_0_48,negated_conjecture,
sdtpldt0(xp,sdtpldt0(sdtpldt0(xp,sz10),sdtpldt0(sz10,xp))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_20]),c_0_46]),c_0_27])]) ).
cnf(c_0_49,negated_conjecture,
sdtpldt0(sz10,sdtpldt0(sz10,xp)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_20]),c_0_23])]) ).
cnf(c_0_50,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_47]),c_0_39])]) ).
cnf(c_0_51,negated_conjecture,
( sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp)
| ~ aInteger0(smndt0(xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_37]),c_0_22]),c_0_39])]) ).
cnf(c_0_52,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_37,c_0_21]),c_0_39])]),c_0_41]) ).
cnf(c_0_53,negated_conjecture,
sdtpldt0(xp,sdtpldt0(xp,sz00)) = sz00,
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_48,c_0_21]),c_0_49]),c_0_35]),c_0_23]),c_0_27])]) ).
cnf(c_0_54,plain,
( sdtpldt0(sz00,sdtpldt0(sz00,X1)) = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_50]),c_0_39])]) ).
cnf(c_0_55,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sz00) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_27])]) ).
cnf(c_0_56,negated_conjecture,
sdtpldt0(xp,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27])]) ).
cnf(c_0_57,plain,
( sdtpldt0(sz00,sdtpldt0(X1,sz00)) = sdtpldt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_33]),c_0_39])]) ).
cnf(c_0_58,negated_conjecture,
sdtpldt0(sz10,sz00) = sz10,
inference(rw,[status(thm)],[c_0_38,c_0_42]) ).
cnf(c_0_59,negated_conjecture,
sdtpldt0(sz00,sdtpldt0(sz10,xp)) = sdtpldt0(sz10,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_39]),c_0_35])]) ).
cnf(c_0_60,negated_conjecture,
( sdtpldt0(sz00,X1) = sdtpldt0(xp,sdtpldt0(xp,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_56]),c_0_27])]) ).
cnf(c_0_61,negated_conjecture,
sdtpldt0(sz00,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_23])]) ).
cnf(c_0_62,negated_conjecture,
( sdtpldt0(sz10,sdtpldt0(sz00,X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_58]),c_0_39]),c_0_23])]) ).
cnf(c_0_63,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_21]),c_0_41]) ).
cnf(c_0_64,negated_conjecture,
sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_42]),c_0_35])]) ).
cnf(c_0_65,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_23])]) ).
cnf(c_0_66,negated_conjecture,
( sdtpldt0(sz00,sdtpldt0(sz10,X1)) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_61]),c_0_23]),c_0_39])]) ).
cnf(c_0_67,negated_conjecture,
( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_38]),c_0_64]),c_0_45]),c_0_39]),c_0_23])]) ).
cnf(c_0_68,negated_conjecture,
sdtpldt0(sdtpldt0(xp,sz10),sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_33]),c_0_27]),c_0_23])]) ).
cnf(c_0_69,plain,
( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_21]),c_0_41]) ).
cnf(c_0_70,negated_conjecture,
sdtpldt0(sz00,sdtpldt0(sz10,sz10)) = sdtpldt0(sz10,sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_23])]) ).
cnf(c_0_71,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_26]),c_0_31]) ).
cnf(c_0_72,negated_conjecture,
sdtpldt0(sdtpldt0(sz10,xp),xp) = sz10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_38]),c_0_42]) ).
cnf(c_0_73,negated_conjecture,
sdtpldt0(xp,sdtpldt0(sz10,sz10)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_68]),c_0_23]),c_0_27])]) ).
cnf(c_0_74,negated_conjecture,
aInteger0(sdtpldt0(sz10,sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_23]),c_0_39])]) ).
cnf(c_0_75,negated_conjecture,
sdtpldt0(sdtpldt0(xp,sz10),sdtpldt0(xp,sz10)) = sdtpldt0(sz00,xp),
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_71,c_0_64]),c_0_20]),c_0_64]),c_0_27]),c_0_23])]) ).
cnf(c_0_76,negated_conjecture,
sdtpldt0(sdtpldt0(xp,sz10),xp) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_33]),c_0_27]),c_0_23])]) ).
cnf(c_0_77,negated_conjecture,
sdtpldt0(sz10,sz10) = sdtpldt0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_70]),c_0_73]),c_0_74])]) ).
cnf(c_0_78,negated_conjecture,
sdtpldt0(smndt0(xp),sz00) = sdtpldt0(sz00,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_56]),c_0_27])]) ).
cnf(c_0_79,negated_conjecture,
sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_75]),c_0_76]),c_0_77]),c_0_23]),c_0_27]),c_0_46])]) ).
cnf(c_0_80,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_81,plain,
! [X2] :
( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
| ~ aInteger0(X2) )
& ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).
cnf(c_0_82,negated_conjecture,
sdtpldt0(smndt0(xp),sz00) = sdtpldt0(xp,sz00),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
sdtpldt0(xp,sz00) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_79]),c_0_27])]) ).
cnf(c_0_84,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_85,negated_conjecture,
sdtpldt0(smndt0(xp),sz00) = xp,
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
fof(c_0_86,plain,
! [X4,X5,X6] :
( ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6)
| sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(sdtasdt0(X4,X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(c_0_87,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aInteger0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aInteger0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).
cnf(c_0_88,plain,
( smndt0(X1) = sdtasdt0(X1,sdtpldt0(sz10,xp))
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_84,c_0_20]) ).
cnf(c_0_89,negated_conjecture,
( smndt0(xp) = xp
| ~ aInteger0(smndt0(xp)) ),
inference(spm,[status(thm)],[c_0_37,c_0_85]) ).
cnf(c_0_90,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_91,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
( smndt0(X1) = sdtasdt0(X1,sdtpldt0(xp,sz10))
| ~ aInteger0(X1) ),
inference(rw,[status(thm)],[c_0_88,c_0_64]) ).
cnf(c_0_93,negated_conjecture,
smndt0(xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_31]),c_0_27])]) ).
fof(c_0_94,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aInteger0(X4)
| ~ aInteger0(X5)
| ~ aInteger0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).
fof(c_0_95,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
cnf(c_0_96,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_23])]) ).
cnf(c_0_97,negated_conjecture,
sdtasdt0(xp,sdtpldt0(xp,sz10)) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_27])]) ).
cnf(c_0_98,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_99,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_100,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_101,negated_conjecture,
sdtasdt0(sz10,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_46]),c_0_27])]) ).
fof(c_0_102,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) != sz00
| X3 = sz00
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).
cnf(c_0_103,plain,
( sdtpldt0(sdtasdt0(X1,X2),X1) = sdtasdt0(X1,sdtpldt0(X2,sz10))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_23])]) ).
cnf(c_0_104,negated_conjecture,
sdtasdt0(xp,sz10) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_27]),c_0_23])]) ).
cnf(c_0_105,plain,
( X1 = sz00
| X2 = sz00
| sdtasdt0(X2,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_106,negated_conjecture,
sdtasdt0(xp,xp) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_56]),c_0_77]),c_0_83]),c_0_27]),c_0_23])]) ).
cnf(c_0_107,hypothesis,
xp != sz00,
inference(split_conjunct,[status(thm)],[m__2171]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_27])]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM454+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 13:11:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.25/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42 # Preprocessing time : 0.020 s
% 0.25/1.42
% 0.25/1.42 # Proof found!
% 0.25/1.42 # SZS status Theorem
% 0.25/1.42 # SZS output start CNFRefutation
% See solution above
% 0.25/1.42 # Proof object total steps : 109
% 0.25/1.42 # Proof object clause steps : 79
% 0.25/1.42 # Proof object formula steps : 30
% 0.25/1.42 # Proof object conjectures : 49
% 0.25/1.42 # Proof object clause conjectures : 46
% 0.25/1.42 # Proof object formula conjectures : 3
% 0.25/1.42 # Proof object initial clauses used : 21
% 0.25/1.42 # Proof object initial formulas used : 16
% 0.25/1.42 # Proof object generating inferences : 51
% 0.25/1.42 # Proof object simplifying inferences : 142
% 0.25/1.42 # Training examples: 0 positive, 0 negative
% 0.25/1.42 # Parsed axioms : 49
% 0.25/1.42 # Removed by relevancy pruning/SinE : 8
% 0.25/1.42 # Initial clauses : 94
% 0.25/1.42 # Removed in clause preprocessing : 4
% 0.25/1.42 # Initial clauses in saturation : 90
% 0.25/1.42 # Processed clauses : 497
% 0.25/1.42 # ...of these trivial : 72
% 0.25/1.42 # ...subsumed : 125
% 0.25/1.42 # ...remaining for further processing : 300
% 0.25/1.42 # Other redundant clauses eliminated : 0
% 0.25/1.42 # Clauses deleted for lack of memory : 0
% 0.25/1.42 # Backward-subsumed : 3
% 0.25/1.42 # Backward-rewritten : 83
% 0.25/1.42 # Generated clauses : 3743
% 0.25/1.42 # ...of the previous two non-trivial : 3023
% 0.25/1.42 # Contextual simplify-reflections : 48
% 0.25/1.42 # Paramodulations : 3729
% 0.25/1.42 # Factorizations : 0
% 0.25/1.42 # Equation resolutions : 14
% 0.25/1.42 # Current number of processed clauses : 214
% 0.25/1.42 # Positive orientable unit clauses : 46
% 0.25/1.42 # Positive unorientable unit clauses: 0
% 0.25/1.42 # Negative unit clauses : 3
% 0.25/1.42 # Non-unit-clauses : 165
% 0.25/1.42 # Current number of unprocessed clauses: 2101
% 0.25/1.42 # ...number of literals in the above : 9251
% 0.25/1.42 # Current number of archived formulas : 0
% 0.25/1.42 # Current number of archived clauses : 86
% 0.25/1.42 # Clause-clause subsumption calls (NU) : 3119
% 0.25/1.42 # Rec. Clause-clause subsumption calls : 1180
% 0.25/1.42 # Non-unit clause-clause subsumptions : 158
% 0.25/1.42 # Unit Clause-clause subsumption calls : 220
% 0.25/1.42 # Rewrite failures with RHS unbound : 0
% 0.25/1.42 # BW rewrite match attempts : 21
% 0.25/1.42 # BW rewrite match successes : 17
% 0.25/1.42 # Condensation attempts : 0
% 0.25/1.42 # Condensation successes : 0
% 0.25/1.42 # Termbank termtop insertions : 69524
% 0.25/1.42
% 0.25/1.42 # -------------------------------------------------
% 0.25/1.42 # User time : 0.097 s
% 0.25/1.42 # System time : 0.006 s
% 0.25/1.42 # Total time : 0.103 s
% 0.25/1.42 # Maximum resident set size: 5828 pages
%------------------------------------------------------------------------------