TSTP Solution File: NUM421+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM421+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 09:32:15 EDT 2022
% Result : Theorem 0.36s 18.56s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 76 ( 16 unt; 0 def)
% Number of atoms : 193 ( 68 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 209 ( 92 ~; 88 |; 19 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddNeg) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntZero) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistrib) ).
fof(mMulOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulOne) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulAsso) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X1)
& aInteger0(X2) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntMult) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntOne) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(m__,conjecture,
( sdtasdt0(xa,sz00) = sz00
& sz00 = sdtasdt0(sz00,xa) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__419,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__419) ).
fof(c_0_14,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])])]) ).
fof(c_0_15,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_16,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
fof(c_0_19,plain,
! [X2] :
( ~ aInteger0(X2)
| aInteger0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).
cnf(c_0_20,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,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])])]) ).
cnf(c_0_23,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_18])]) ).
fof(c_0_25,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])])]) ).
fof(c_0_26,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(c_0_28,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_29,plain,
! [X3,X4] :
( ~ aInteger0(X3)
| ~ aInteger0(X4)
| aInteger0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).
cnf(c_0_30,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_22]) ).
cnf(c_0_31,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18])]) ).
cnf(c_0_32,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_34,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X1,sz00)) = sdtasdt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18])]) ).
cnf(c_0_39,plain,
( sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(sz10,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_30]),c_0_33])]),c_0_34]) ).
cnf(c_0_40,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_41,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_31]),c_0_33]),c_0_18])]) ).
cnf(c_0_42,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X3),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_30]),c_0_34]) ).
cnf(c_0_43,plain,
( sdtasdt0(sz10,sdtasdt0(sz00,X1)) = sdtasdt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_18]),c_0_33])]) ).
cnf(c_0_44,plain,
( sdtasdt0(sz00,X1) = sdtasdt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_31]),c_0_18])]) ).
cnf(c_0_45,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_46,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_47,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_36]),c_0_37]) ).
cnf(c_0_48,plain,
sdtasdt0(sz10,sdtasdt0(sz00,sz00)) = sdtasdt0(sz00,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_18])]) ).
fof(c_0_49,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_50,plain,
( sdtasdt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_45]),c_0_33])]) ).
cnf(c_0_51,plain,
( sdtasdt0(X1,sz00) = sdtasdt0(sz00,sdtasdt0(X1,sz10))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_18]),c_0_33])]) ).
cnf(c_0_52,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,sz00)) = sdtasdt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_46]),c_0_18])]) ).
cnf(c_0_53,plain,
aInteger0(sdtasdt0(sz00,sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_18]),c_0_33])]) ).
cnf(c_0_54,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_56,negated_conjecture,
~ ( sdtasdt0(xa,sz00) = sz00
& sz00 = sdtasdt0(sz00,xa) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_57,plain,
( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_18])]) ).
cnf(c_0_58,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_41]),c_0_33]),c_0_18])]) ).
cnf(c_0_59,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sdtasdt0(sz00,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_41]),c_0_33])]),c_0_53])]) ).
cnf(c_0_60,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_23]),c_0_21]) ).
cnf(c_0_61,plain,
( aInteger0(sdtasdt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_41]),c_0_18]),c_0_33])]) ).
cnf(c_0_62,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(sz00,X2)) = sdtasdt0(X1,X2)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_46]),c_0_18])]) ).
cnf(c_0_63,plain,
( aInteger0(sdtasdt0(sz00,X1))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_44]),c_0_18])]) ).
fof(c_0_64,negated_conjecture,
( sdtasdt0(xa,sz00) != sz00
| sz00 != sdtasdt0(sz00,xa) ),
inference(fof_nnf,[status(thm)],[c_0_56]) ).
cnf(c_0_65,plain,
( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X2,X1)) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_16]),c_0_18])]) ).
cnf(c_0_66,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_18]),c_0_33])]) ).
cnf(c_0_67,plain,
( sdtpldt0(smndt0(sdtasdt0(X1,sz00)),sdtasdt0(X1,sz00)) = sdtpldt0(sz00,sdtasdt0(X1,sz00))
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_38]),c_0_61]) ).
cnf(c_0_68,plain,
( sdtpldt0(smndt0(sdtasdt0(X1,X2)),sdtasdt0(X1,X2)) = sdtpldt0(sz00,sdtasdt0(sz00,X2))
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_62]),c_0_37]),c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( sz00 != sdtasdt0(sz00,xa)
| sdtasdt0(xa,sz00) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[m__419]) ).
cnf(c_0_71,plain,
( sdtpldt0(sz00,sdtasdt0(X1,sz00)) = sdtasdt0(X1,sz00)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_44]),c_0_66]),c_0_18])]) ).
cnf(c_0_72,plain,
( sdtpldt0(sz00,sdtasdt0(X1,sz00)) = sz00
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_66]),c_0_31]),c_0_18])]) ).
cnf(c_0_73,negated_conjecture,
sdtasdt0(xa,sz00) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_35]),c_0_18]),c_0_70])]) ).
cnf(c_0_74,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM421+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 22:57:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.36/18.56 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.36/18.56 # Preprocessing time : 0.014 s
% 0.36/18.56
% 0.36/18.56 # Proof found!
% 0.36/18.56 # SZS status Theorem
% 0.36/18.56 # SZS output start CNFRefutation
% See solution above
% 0.36/18.56 # Proof object total steps : 76
% 0.36/18.56 # Proof object clause steps : 50
% 0.36/18.56 # Proof object formula steps : 26
% 0.36/18.56 # Proof object conjectures : 6
% 0.36/18.56 # Proof object clause conjectures : 3
% 0.36/18.56 # Proof object formula conjectures : 3
% 0.36/18.56 # Proof object initial clauses used : 18
% 0.36/18.56 # Proof object initial formulas used : 14
% 0.36/18.56 # Proof object generating inferences : 32
% 0.36/18.56 # Proof object simplifying inferences : 76
% 0.36/18.56 # Training examples: 0 positive, 0 negative
% 0.36/18.56 # Parsed axioms : 16
% 0.36/18.56 # Removed by relevancy pruning/SinE : 0
% 0.36/18.56 # Initial clauses : 20
% 0.36/18.56 # Removed in clause preprocessing : 1
% 0.36/18.56 # Initial clauses in saturation : 19
% 0.36/18.56 # Processed clauses : 5924
% 0.36/18.56 # ...of these trivial : 95
% 0.36/18.56 # ...subsumed : 4697
% 0.36/18.56 # ...remaining for further processing : 1132
% 0.36/18.56 # Other redundant clauses eliminated : 0
% 0.36/18.56 # Clauses deleted for lack of memory : 1165871
% 0.36/18.56 # Backward-subsumed : 6
% 0.36/18.56 # Backward-rewritten : 21
% 0.36/18.56 # Generated clauses : 1327270
% 0.36/18.56 # ...of the previous two non-trivial : 1309018
% 0.36/18.56 # Contextual simplify-reflections : 955
% 0.36/18.56 # Paramodulations : 1327267
% 0.36/18.56 # Factorizations : 0
% 0.36/18.56 # Equation resolutions : 0
% 0.36/18.56 # Current number of processed clauses : 1104
% 0.36/18.56 # Positive orientable unit clauses : 52
% 0.36/18.56 # Positive unorientable unit clauses: 0
% 0.36/18.56 # Negative unit clauses : 2
% 0.36/18.56 # Non-unit-clauses : 1050
% 0.36/18.56 # Current number of unprocessed clauses: 135164
% 0.36/18.56 # ...number of literals in the above : 552112
% 0.36/18.56 # Current number of archived formulas : 0
% 0.36/18.56 # Current number of archived clauses : 27
% 0.36/18.56 # Clause-clause subsumption calls (NU) : 353588
% 0.36/18.56 # Rec. Clause-clause subsumption calls : 152423
% 0.36/18.56 # Non-unit clause-clause subsumptions : 5641
% 0.36/18.56 # Unit Clause-clause subsumption calls : 1051
% 0.36/18.56 # Rewrite failures with RHS unbound : 0
% 0.36/18.56 # BW rewrite match attempts : 18
% 0.36/18.56 # BW rewrite match successes : 9
% 0.36/18.56 # Condensation attempts : 0
% 0.36/18.56 # Condensation successes : 0
% 0.36/18.56 # Termbank termtop insertions : 33652991
% 0.36/18.56
% 0.36/18.56 # -------------------------------------------------
% 0.36/18.56 # User time : 17.794 s
% 0.36/18.56 # System time : 0.128 s
% 0.36/18.56 # Total time : 17.922 s
% 0.36/18.56 # Maximum resident set size: 145648 pages
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/23.42 eprover: CPU time limit exceeded, terminating
% 0.36/23.43 eprover: CPU time limit exceeded, terminating
% 0.36/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.43 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.44 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.45 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.46 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.47 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.48 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
% 0.36/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.36/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------