%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM431+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:03 PM UTC 2026
% Result : Theorem 1.24s 0.69s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 19
% Syntax : Number of formulae : 132 ( 51 unt; 0 def)
% Number of atoms : 324 ( 109 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 326 ( 134 ~; 125 |; 49 &)
% ( 4 <=>; 14 =>; 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 : 110 ( 0 sgn 55 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__818,hypothesis,
( aInteger0(xc)
& xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(mEquMod,axiom,
! [X1,X2,X3] :
( ( X3 != sz00
& aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(m__899,hypothesis,
( sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc))
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__899) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(m__853,hypothesis,
( sdteqdtlpzmzozddtrp0(xb,xc,xq)
& sdteqdtlpzmzozddtrp0(xa,xb,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__853) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sz00 = sdtpldt0(smndt0(X1),X1)
& sdtpldt0(X1,smndt0(X1)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
& sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(m__876,hypothesis,
( sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__876) ).
fof(m__,conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) = sdtpldt0(xa,smndt0(xc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_19,hypothesis,
( aInteger0(xc)
& xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
inference(fof_simplification,[status(thm)],[m__818]) ).
fof(c_0_20,plain,
! [X1,X2,X3] :
( ( X3 != sz00
& aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdteqdtlpzmzozddtrp0(X1,X2,X3)
<=> aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ) ),
inference(fof_simplification,[status(thm)],[mEquMod]) ).
fof(c_0_21,plain,
! [X6,X7] :
( aInteger0(sdtpldt0(X6,X7))
| ~ aInteger0(X7)
| ~ aInteger0(X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])])]) ).
fof(c_0_22,hypothesis,
( aInteger0(xc)
& xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[mDivisor]) ).
fof(c_0_24,plain,
! [X35,X36,X37] :
( ( X37 = sz00
| ~ aInteger0(X37)
| ~ aInteger0(X36)
| ~ aInteger0(X35)
| sdteqdtlpzmzozddtrp0(X35,X36,X37)
| ~ aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36))) )
& ( X37 = sz00
| ~ aInteger0(X37)
| ~ aInteger0(X36)
| ~ aInteger0(X35)
| aDivisorOf0(X37,sdtpldt0(X35,smndt0(X36)))
| ~ sdteqdtlpzmzozddtrp0(X35,X36,X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_25,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,hypothesis,
sdtasdt0(xq,xm) = sdtpldt0(xb,smndt0(xc)),
inference(split_conjunct,[status(thm)],[m__899]) ).
cnf(c_0_27,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X5] :
( aInteger0(smndt0(X5))
| ~ aInteger0(X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).
fof(c_0_29,plain,
! [X30,X31,X33,X34] :
( ( ~ aInteger0(X30)
| aDivisorOf0(X33,X30)
| sdtasdt0(X33,X34) != X30
| ~ aInteger0(X34)
| X33 = sz00
| ~ aInteger0(X33) )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| sdtasdt0(X31,esk1_2(X30,X31)) = X30 )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| aInteger0(esk1_2(X30,X31)) )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| X31 != sz00 )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| aInteger0(X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[c_0_23])])])])])])]) ).
cnf(c_0_30,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ sdteqdtlpzmzozddtrp0(X1,X2,X3)
| X3 = sz00
| aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,hypothesis,
sdteqdtlpzmzozddtrp0(xb,xc,xq),
inference(split_conjunct,[status(thm)],[m__853]) ).
cnf(c_0_32,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,hypothesis,
aInteger0(xc),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,hypothesis,
xq != sz00,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,hypothesis,
( ~ aInteger0(smndt0(xc))
| aInteger0(sdtasdt0(xq,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_36,plain,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_37,plain,
! [X17,X18,X19] :
( sdtasdt0(X17,sdtasdt0(X18,X19)) = sdtasdt0(sdtasdt0(X17,X18),X19)
| ~ aInteger0(X19)
| ~ aInteger0(X18)
| ~ aInteger0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
cnf(c_0_38,plain,
( ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2)
| sdtasdt0(X1,esk1_2(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,hypothesis,
aDivisorOf0(xq,sdtasdt0(xq,xm)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26]),c_0_32]),c_0_33]),c_0_27])]),c_0_34]) ).
cnf(c_0_40,hypothesis,
aInteger0(sdtasdt0(xq,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33])]) ).
cnf(c_0_41,plain,
( ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1)
| aInteger0(esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,hypothesis,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq)) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_44,hypothesis,
aInteger0(esk1_2(sdtasdt0(xq,xm),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_40])]) ).
fof(c_0_45,plain,
! [X27] :
( ( ~ aInteger0(X27)
| smndt0(X27) = sdtasdt0(X27,smndt0(sz10)) )
& ( ~ aInteger0(X27)
| sdtasdt0(smndt0(sz10),X27) = smndt0(X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])])]) ).
cnf(c_0_46,hypothesis,
( ~ aInteger0(X1)
| sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xm),xq),X1)) = sdtasdt0(sdtasdt0(xq,xm),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32])]),c_0_44])]) ).
cnf(c_0_47,plain,
( ~ aInteger0(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_48,plain,
! [X8,X9] :
( aInteger0(sdtasdt0(X8,X9))
| ~ aInteger0(X9)
| ~ aInteger0(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).
cnf(c_0_49,hypothesis,
( ~ aInteger0(smndt0(sz10))
| sdtasdt0(xq,smndt0(esk1_2(sdtasdt0(xq,xm),xq))) = sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44])]) ).
cnf(c_0_50,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_51,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,hypothesis,
sdtasdt0(xq,smndt0(esk1_2(sdtasdt0(xq,xm),xq))) = sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_50])]) ).
fof(c_0_53,plain,
! [X16] :
( ( ~ aInteger0(X16)
| sz00 = sdtpldt0(smndt0(X16),X16) )
& ( ~ aInteger0(X16)
| sdtpldt0(X16,smndt0(X16)) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])])]) ).
fof(c_0_54,plain,
! [X10,X11,X12] :
( sdtpldt0(X10,sdtpldt0(X11,X12)) = sdtpldt0(sdtpldt0(X10,X11),X12)
| ~ aInteger0(X12)
| ~ aInteger0(X11)
| ~ aInteger0(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
cnf(c_0_55,hypothesis,
( ~ aInteger0(smndt0(esk1_2(sdtasdt0(xq,xm),xq)))
| aInteger0(sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_32])]) ).
cnf(c_0_56,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_57,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,hypothesis,
aInteger0(sdtasdt0(sdtasdt0(xq,xm),smndt0(sz10))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_36]),c_0_44])]) ).
fof(c_0_59,plain,
! [X15] :
( ( ~ aInteger0(X15)
| X15 = sdtpldt0(sz00,X15) )
& ( ~ aInteger0(X15)
| sdtpldt0(X15,sz00) = X15 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
cnf(c_0_60,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_25]) ).
cnf(c_0_61,hypothesis,
aInteger0(smndt0(sdtasdt0(xq,xm))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_40])]) ).
cnf(c_0_62,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_63,plain,
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
cnf(c_0_65,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(xb,sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm)))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_26]),c_0_61]),c_0_27])]) ).
cnf(c_0_66,plain,
( ~ aInteger0(smndt0(sz00))
| smndt0(sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_67,hypothesis,
sdtpldt0(xb,sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm)))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_36]),c_0_33])]) ).
cnf(c_0_68,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_36]),c_0_64])]) ).
cnf(c_0_69,hypothesis,
( ~ aInteger0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))))
| sdtpldt0(xb,sdtpldt0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))),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_60,c_0_67]),c_0_68]),c_0_68]),c_0_64]),c_0_27])]) ).
cnf(c_0_70,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(xb,sdtpldt0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))),sz00)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_25]),c_0_61])]) ).
cnf(c_0_71,hypothesis,
sdtpldt0(xb,sdtpldt0(sdtpldt0(smndt0(xc),smndt0(sdtasdt0(xq,xm))),sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_36]),c_0_33])]) ).
cnf(c_0_72,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(xb,sdtpldt0(smndt0(xc),sdtpldt0(smndt0(sdtasdt0(xq,xm)),sz00))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_57]),c_0_64]),c_0_61])]) ).
fof(c_0_73,plain,
! [X13,X14] :
( sdtpldt0(X13,X14) = sdtpldt0(X14,X13)
| ~ aInteger0(X14)
| ~ aInteger0(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_74,hypothesis,
sdtpldt0(xb,sdtpldt0(smndt0(xc),sdtpldt0(smndt0(sdtasdt0(xq,xm)),sz00))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_36]),c_0_33])]) ).
cnf(c_0_75,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(xb,sdtpldt0(smndt0(xc),sdtpldt0(sz00,smndt0(sdtasdt0(xq,xm))))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_64]),c_0_61])]) ).
cnf(c_0_77,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_57]),c_0_25]) ).
cnf(c_0_78,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(xb,sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_61]),c_0_64])]) ).
cnf(c_0_79,hypothesis,
sdtpldt0(xb,sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_36]),c_0_33])]) ).
cnf(c_0_80,hypothesis,
( ~ aInteger0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)))
| sdtpldt0(sz00,sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)),xb)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_79]),c_0_27]),c_0_64])]) ).
cnf(c_0_81,plain,
( ~ aInteger0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_82,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(sz00,sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)),xb)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_25]),c_0_61])]) ).
cnf(c_0_83,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_63]),c_0_36]) ).
cnf(c_0_84,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_81]),c_0_64])]) ).
cnf(c_0_85,hypothesis,
sdtpldt0(sz00,sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),smndt0(xc)),xb)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_36]),c_0_33])]) ).
cnf(c_0_86,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(smndt0(xb),sdtasdt0(xq,xm)) = sdtpldt0(sz00,smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_26]),c_0_27])]) ).
cnf(c_0_87,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_26]),c_0_27])]) ).
cnf(c_0_88,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtpldt0(smndt0(xc),xb))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_57]),c_0_27]),c_0_61])]) ).
cnf(c_0_89,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_56]),c_0_36]) ).
cnf(c_0_90,hypothesis,
sdtpldt0(smndt0(xb),sdtasdt0(xq,xm)) = sdtpldt0(sz00,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_36]),c_0_33])]) ).
cnf(c_0_91,hypothesis,
sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_36]),c_0_33])]) ).
cnf(c_0_92,hypothesis,
sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtpldt0(smndt0(xc),xb))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_36]),c_0_33])]) ).
cnf(c_0_93,hypothesis,
sdtpldt0(xb,sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_40]),c_0_27])]) ).
cnf(c_0_94,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_75]),c_0_26]),c_0_27])]) ).
cnf(c_0_95,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_93]),c_0_27]),c_0_64])]) ).
cnf(c_0_96,hypothesis,
sdtpldt0(sz00,sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_36]),c_0_33])]) ).
cnf(c_0_97,hypothesis,
sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_36]),c_0_33])]) ).
cnf(c_0_98,hypothesis,
( ~ aInteger0(sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm)))
| sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm)) = sz00 ),
inference(spm,[status(thm)],[c_0_81,c_0_96]) ).
cnf(c_0_99,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_97]),c_0_27])]) ).
cnf(c_0_100,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xq,xm)),sdtasdt0(xq,xm)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_25]),c_0_40]),c_0_61])]) ).
cnf(c_0_101,hypothesis,
sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_36]),c_0_33])]) ).
cnf(c_0_102,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_57]),c_0_25]) ).
cnf(c_0_103,hypothesis,
sdtpldt0(sdtasdt0(xq,xm),sz00) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_100]),c_0_91]),c_0_40])]) ).
cnf(c_0_104,hypothesis,
sdtpldt0(xc,sdtasdt0(xq,xm)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_101]),c_0_27]),c_0_33])]) ).
cnf(c_0_105,hypothesis,
( ~ aInteger0(X1)
| aInteger0(sdtpldt0(X1,sdtasdt0(xq,xm))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_64]),c_0_40])]) ).
fof(c_0_106,plain,
! [X23,X24,X25] :
( ( ~ aInteger0(X25)
| ~ aInteger0(X24)
| ~ aInteger0(X23)
| sdtasdt0(sdtpldt0(X23,X24),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(X24,X25)) )
& ( ~ aInteger0(X25)
| ~ aInteger0(X24)
| ~ aInteger0(X23)
| sdtasdt0(X23,sdtpldt0(X24,X25)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,X25)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])])]) ).
cnf(c_0_107,hypothesis,
sdtpldt0(smndt0(xc),sdtpldt0(sz00,xb)) = sdtasdt0(xq,xm),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_104]),c_0_91]),c_0_40]),c_0_33])]) ).
cnf(c_0_108,hypothesis,
aInteger0(sdtpldt0(sz00,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_104]),c_0_33])]) ).
cnf(c_0_109,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_110,hypothesis,
sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_107]),c_0_104]),c_0_108]),c_0_33])]) ).
cnf(c_0_111,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_109]),c_0_51]),c_0_51]) ).
cnf(c_0_112,hypothesis,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_81]),c_0_27])]) ).
cnf(c_0_113,hypothesis,
( ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_27]),c_0_64])]) ).
cnf(c_0_114,plain,
( ~ aInteger0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_115,hypothesis,
sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[m__876]) ).
cnf(c_0_116,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_117,hypothesis,
( ~ aInteger0(smndt0(sz10))
| aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_27])]) ).
cnf(c_0_118,hypothesis,
( ~ aInteger0(X1)
| ~ aInteger0(smndt0(xb))
| sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_115]),c_0_116])]) ).
cnf(c_0_119,hypothesis,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_36]),c_0_50])]) ).
cnf(c_0_120,hypothesis,
( ~ aInteger0(X1)
| sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]) ).
fof(c_0_121,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_122,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_62]),c_0_64])]) ).
cnf(c_0_123,hypothesis,
sdtpldt0(xa,sdtpldt0(sz00,smndt0(xc))) = sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_90]),c_0_40])]) ).
fof(c_0_124,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
cnf(c_0_125,hypothesis,
( ~ aInteger0(smndt0(xc))
| sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xc)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_116])]) ).
fof(c_0_126,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(fof_nnf,[status(thm)],[c_0_124]) ).
cnf(c_0_127,hypothesis,
sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xc)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_36]),c_0_33])]) ).
cnf(c_0_128,hypothesis,
aInteger0(xm),
inference(split_conjunct,[status(thm)],[m__899]) ).
cnf(c_0_129,hypothesis,
aInteger0(xn),
inference(split_conjunct,[status(thm)],[m__876]) ).
cnf(c_0_130,negated_conjecture,
sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_131,hypothesis,
$false,
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_109,c_0_127]),c_0_128]),c_0_129]),c_0_32])]),c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM431+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 02:30:58 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.45 Running first-order theorem proving
% 0.16/0.45 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.24/0.69 % Version: 3.5.1
% 1.24/0.69 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.24/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.24/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.24/0.69 % Starting new_bool_3 with 300s (1) cores
% 1.24/0.69 % Starting new_bool_1 with 300s (1) cores
% 1.24/0.69 % Starting sh5l with 300s (1) cores
% 1.24/0.69 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 771804 completed with status 0
% 1.24/0.69 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.24/0.69 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.24/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.24/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.24/0.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.24/0.69 % No SInE strategy applied
% 1.24/0.69 % Search class: FGHSF-FFMM21-SFFFFFNN
% 1.24/0.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.24/0.69 % Starting SubtermCWHack with 136s (1) cores
% 1.24/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.24/0.69 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 1.24/0.69 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 1.24/0.69 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 1.24/0.69 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 771812 completed with status 0
% 1.24/0.69 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 1.24/0.69 % Preprocessing class: FSMSSMSMSSSNFFN.
% 1.24/0.69 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.24/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.24/0.69 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.24/0.69 % No SInE strategy applied
% 1.24/0.69 % Search class: FGHSF-FFMM21-SFFFFFNN
% 1.24/0.69 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.24/0.69 % Starting SubtermCWHack with 136s (1) cores
% 1.24/0.69 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.24/0.69 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 1.24/0.69 % Preprocessing time : 0.003 s
% 1.24/0.69 % Presaturation interreduction done
% 1.24/0.69
% 1.24/0.69 % Proof found!
% 1.24/0.69 % SZS status Theorem
% 1.24/0.69 % SZS output start CNFRefutation
% See solution above
% 1.24/0.69 % Parsed axioms : 26
% 1.24/0.69 % Removed by relevancy pruning/SinE : 0
% 1.24/0.69 % Initial clauses : 44
% 1.24/0.69 % Removed in clause preprocessing : 1
% 1.24/0.69 % Initial clauses in saturation : 43
% 1.24/0.69 % Processed clauses : 840
% 1.24/0.69 % ...of these trivial : 66
% 1.24/0.69 % ...subsumed : 267
% 1.24/0.69 % ...remaining for further processing : 507
% 1.24/0.69 % Other redundant clauses eliminated : 2
% 1.24/0.69 % Clauses deleted for lack of memory : 0
% 1.24/0.69 % Backward-subsumed : 10
% 1.24/0.69 % Backward-rewritten : 98
% 1.24/0.69 % Generated clauses : 5031
% 1.24/0.69 % ...of the previous two non-redundant : 4007
% 1.24/0.69 % ...aggressively subsumed : 0
% 1.24/0.69 % Contextual simplify-reflections : 33
% 1.24/0.69 % Paramodulations : 5029
% 1.24/0.69 % Factorizations : 0
% 1.24/0.69 % NegExts : 0
% 1.24/0.69 % Equation resolutions : 2
% 1.24/0.69 % Disequality decompositions : 0
% 1.24/0.69 % Total rewrite steps : 7320
% 1.24/0.69 % ...of those cached : 7139
% 1.24/0.69 % Propositional unsat checks : 0
% 1.24/0.69 % Propositional check models : 0
% 1.24/0.69 % Propositional check unsatisfiable : 0
% 1.24/0.69 % Propositional clauses : 0
% 1.24/0.69 % Propositional clauses after purity: 0
% 1.24/0.69 % Propositional unsat core size : 0
% 1.24/0.69 % Propositional preprocessing time : 0.000
% 1.24/0.69 % Propositional encoding time : 0.000
% 1.24/0.69 % Propositional solver time : 0.000
% 1.24/0.69 % Success case prop preproc time : 0.000
% 1.24/0.69 % Success case prop encoding time : 0.000
% 1.24/0.69 % Success case prop solver time : 0.000
% 1.24/0.69 % Current number of processed clauses : 354
% 1.24/0.69 % Positive orientable unit clauses : 186
% 1.24/0.69 % Positive unorientable unit clauses: 0
% 1.24/0.69 % Negative unit clauses : 2
% 1.24/0.69 % Non-unit-clauses : 166
% 1.24/0.69 % Current number of unprocessed clauses: 3170
% 1.24/0.69 % ...number of literals in the above : 11778
% 1.24/0.69 % Current number of archived formulas : 0
% 1.24/0.69 % Current number of archived clauses : 151
% 1.24/0.69 % Clause-clause subsumption calls (NU) : 3283
% 1.24/0.69 % Rec. Clause-clause subsumption calls : 2252
% 1.24/0.69 % Non-unit clause-clause subsumptions : 310
% 1.24/0.69 % Unit Clause-clause subsumption calls : 96
% 1.24/0.69 % Rewrite failures with RHS unbound : 0
% 1.24/0.69 % BW rewrite match attempts : 528
% 1.24/0.69 % BW rewrite match successes : 70
% 1.24/0.69 % Condensation attempts : 0
% 1.24/0.69 % Condensation successes : 0
% 1.24/0.69 % Termbank termtop insertions : 97714
% 1.24/0.69 % Search garbage collected termcells : 452
% 1.24/0.69
% 1.24/0.69 % -------------------------------------------------
% 1.24/0.69 % User time : 0.167 s
% 1.24/0.69 % System time : 0.016 s
% 1.24/0.69 % Total time : 0.183 s
% 1.24/0.69 % Maximum resident set size: 3656 pages
% 1.24/0.69
% 1.24/0.69 % -------------------------------------------------
% 1.24/0.69 % User time : 0.782 s
% 1.24/0.69 % System time : 0.055 s
% 1.24/0.69 % Total time : 0.837 s
% 1.24/0.69 % Maximum resident set size: 4608 pages
% 1.24/0.69 % E exiting
%------------------------------------------------------------------------------