%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 02:05:40 PM UTC 2026
% Result : Theorem 16.23s 2.82s
% Output : CNFRefutation 16.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 161 ( 73 unt; 0 def)
% Number of atoms : 405 ( 117 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 409 ( 165 ~; 166 |; 59 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 14 con; 0-2 aty)
% Number of variables : 127 ( 2 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMNeg) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X1)) = X1
& sdtpldt0(smndt0(X1),X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X1) = X1
& sdtpldt0(X1,sz0z00) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
fof(m__1930,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(m__1800,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
fof(m__1837,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(m__1949,hypothesis,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
fof(m__1746,hypothesis,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
fof(mScSqPos,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScSqPos) ).
fof(mSqPos,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqPos) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(mLETot,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
fof(mPosMon,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtpldt0(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPosMon) ).
fof(m__1726,hypothesis,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(m__1892,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(m__1854,hypothesis,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
fof(m__1783,hypothesis,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMDNeg) ).
fof(m__2144,hypothesis,
( sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(xR,smndt0(xS)) = smndt0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
fof(mSqrt,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtasdt0(X1,X1) = sdtasdt0(X2,X2)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(sz0z00,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(m__1766,hypothesis,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
fof(m__1709,hypothesis,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).
fof(mLEMon,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(m__,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mLEASm,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(c_0_28,plain,
! [X43,X44] :
( ( ~ aScalar0(X44)
| ~ aScalar0(X43)
| sdtasdt0(smndt0(X43),X44) = smndt0(sdtasdt0(X43,X44)) )
& ( ~ aScalar0(X44)
| ~ aScalar0(X43)
| sdtasdt0(X43,smndt0(X44)) = smndt0(sdtasdt0(X43,X44)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
fof(c_0_29,plain,
! [X42] :
( ( ~ aScalar0(X42)
| smndt0(sz0z00) = sz0z00 )
& ( ~ aScalar0(X42)
| smndt0(smndt0(X42)) = X42 )
& ( ~ aScalar0(X42)
| sdtpldt0(smndt0(X42),X42) = sz0z00 )
& ( ~ aScalar0(X42)
| sdtpldt0(X42,smndt0(X42)) = sz0z00 )
& ( ~ aScalar0(X42)
| sdtasdt0(sz0z00,X42) = sz0z00 )
& ( ~ aScalar0(X42)
| sdtasdt0(X42,sz0z00) = sz0z00 )
& ( ~ aScalar0(X42)
| sdtpldt0(sz0z00,X42) = X42 )
& ( ~ aScalar0(X42)
| sdtpldt0(X42,sz0z00) = X42 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).
fof(c_0_30,plain,
! [X19,X20] :
( aScalar0(sdtasdt0(X19,X20))
| ~ aScalar0(X20)
| ~ aScalar0(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
fof(c_0_31,plain,
! [X41] :
( aScalar0(smndt0(X41))
| ~ aScalar0(X41) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
cnf(c_0_32,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_34,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_35,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_36,plain,
( ~ aScalar0(X1)
| smndt0(sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_38,plain,
( ~ aScalar0(X1)
| smndt0(smndt0(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_41,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_42,plain,
( ~ aScalar0(X1)
| aScalar0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,hypothesis,
sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
fof(c_0_44,plain,
! [X25] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X25,X25))
| ~ aVector0(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).
fof(c_0_45,plain,
! [X70] :
( sdtlseqdt0(sz0z00,sdtasdt0(X70,X70))
| ~ aScalar0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).
cnf(c_0_46,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
( ~ aScalar0(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_48,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_49,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_50,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_32]),c_0_39]) ).
cnf(c_0_51,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_40]),c_0_41])]) ).
cnf(c_0_52,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| aScalar0(sdtasdt0(X1,smndt0(X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_39]) ).
fof(c_0_53,plain,
! [X17,X18] :
( sdtlseqdt0(X18,X17)
| sdtlseqdt0(X17,X18)
| ~ aScalar0(X18)
| ~ aScalar0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).
cnf(c_0_54,hypothesis,
( ~ aScalar0(smndt0(xD))
| aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_35])]) ).
fof(c_0_55,plain,
! [X63,X64] :
( ( ~ aScalar0(X64)
| ~ aScalar0(X63)
| ~ sdtlseqdt0(sz0z00,X64)
| ~ sdtlseqdt0(sz0z00,X63)
| sdtlseqdt0(sz0z00,sdtasdt0(X63,X64)) )
& ( ~ aScalar0(X64)
| ~ aScalar0(X63)
| ~ sdtlseqdt0(sz0z00,X64)
| ~ sdtlseqdt0(sz0z00,X63)
| sdtlseqdt0(sz0z00,sdtpldt0(X63,X64)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).
cnf(c_0_56,plain,
( ~ aVector0(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_58,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[m__1726]) ).
cnf(c_0_59,plain,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_60,plain,
! [X66,X67,X68,X69] :
( sdtlseqdt0(sdtasdt0(X66,X68),sdtasdt0(X67,X69))
| ~ sdtlseqdt0(X68,X69)
| ~ sdtlseqdt0(sz0z00,X68)
| ~ sdtlseqdt0(X66,X67)
| ~ aScalar0(X69)
| ~ aScalar0(X68)
| ~ aScalar0(X67)
| ~ aScalar0(X66) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_61,plain,
( ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),sz0z00) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49])]) ).
cnf(c_0_62,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_40]),c_0_41])]) ).
cnf(c_0_63,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_41])]) ).
cnf(c_0_64,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_66,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_67,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
fof(c_0_68,plain,
! [X45,X46] :
( sdtasdt0(smndt0(X45),smndt0(X46)) = sdtasdt0(X45,X46)
| ~ aScalar0(X46)
| ~ aScalar0(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).
cnf(c_0_69,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_70,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_42]),c_0_34])]) ).
cnf(c_0_71,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
fof(c_0_72,plain,
! [X71,X72] :
( X71 = X72
| sdtasdt0(X71,X71) != sdtasdt0(X72,X72)
| ~ sdtlseqdt0(sz0z00,X72)
| ~ sdtlseqdt0(sz0z00,X71)
| ~ aScalar0(X72)
| ~ aScalar0(X71) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).
cnf(c_0_73,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_74,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_75,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_40]),c_0_41])]) ).
cnf(c_0_76,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_77,hypothesis,
sdtasdt0(smndt0(xF),xD) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_78,hypothesis,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_79,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,smndt0(xF))
| sdtlseqdt0(smndt0(xF),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
cnf(c_0_80,plain,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_81,hypothesis,
sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_82,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_83,hypothesis,
sdtasdt0(smndt0(xR),smndt0(xS)) = smndt0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_69]),c_0_70]),c_0_71])]) ).
cnf(c_0_84,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_85,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_86,plain,
( sdtasdt0(X1,X1) != sdtasdt0(X2,X2)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_87,hypothesis,
sdtlseqdt0(sz0z00,xS),
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_73,c_0_33]),c_0_74]),c_0_75]),c_0_34]),c_0_35])]) ).
cnf(c_0_88,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X2,xD)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X1,smndt0(xF))
| sdtlseqdt0(sdtasdt0(X1,X2),smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_34])]),c_0_63])]) ).
cnf(c_0_89,hypothesis,
sdtasdt0(smndt0(xF),sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_78]),c_0_48]),c_0_49]),c_0_35])]) ).
cnf(c_0_90,hypothesis,
sdtlseqdt0(smndt0(xF),smndt0(xF)),
inference(spm,[status(thm)],[c_0_79,c_0_63]) ).
cnf(c_0_91,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_80]),c_0_49])]) ).
cnf(c_0_92,hypothesis,
( ~ aScalar0(smndt0(xG))
| aScalar0(smndt0(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_81]),c_0_67])]) ).
cnf(c_0_93,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_94,hypothesis,
smndt0(smndt0(xN)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]),c_0_71])]) ).
cnf(c_0_95,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_96,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_97,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_98,hypothesis,
aVector0(xp),
inference(split_conjunct,[status(thm)],[m__1709]) ).
fof(c_0_99,plain,
! [X59,X60,X61,X62] :
( sdtlseqdt0(sdtpldt0(X59,X61),sdtpldt0(X60,X62))
| ~ sdtlseqdt0(X61,X62)
| ~ sdtlseqdt0(X59,X60)
| ~ aScalar0(X62)
| ~ aScalar0(X61)
| ~ aScalar0(X60)
| ~ aScalar0(X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).
cnf(c_0_100,plain,
( ~ aScalar0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_101,hypothesis,
smndt0(smndt0(xS)) = xS,
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_43]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_102,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X1,X1) != sdtasdt0(xS,xS)
| X1 = xS ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_85])]) ).
cnf(c_0_103,hypothesis,
sdtlseqdt0(sz0z00,smndt0(xS)),
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_88,c_0_89]),c_0_90]),c_0_91]),c_0_74]),c_0_49]),c_0_63])]) ).
cnf(c_0_104,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_105,hypothesis,
smndt0(smndt0(xR)) = xR,
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_81]),c_0_65]),c_0_66]),c_0_67])]) ).
cnf(c_0_106,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_42]),c_0_66])]) ).
fof(c_0_107,plain,
! [X49,X50,X51] :
( ( ~ aScalar0(X51)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| sdtasdt0(X49,X50) = sdtasdt0(X50,X49) )
& ( ~ aScalar0(X51)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| sdtasdt0(sdtasdt0(X49,X50),X51) = sdtasdt0(X49,sdtasdt0(X50,X51)) )
& ( ~ aScalar0(X51)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| sdtpldt0(X49,X50) = sdtpldt0(X50,X49) )
& ( ~ aScalar0(X51)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| sdtpldt0(sdtpldt0(X49,X50),X51) = sdtpldt0(X49,sdtpldt0(X50,X51)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).
cnf(c_0_108,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,xR)
| sdtlseqdt0(xR,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_71]) ).
cnf(c_0_109,hypothesis,
sdtasdt0(smndt0(smndt0(xS)),xR) = xN,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_93]),c_0_71]),c_0_70])]),c_0_94]) ).
cnf(c_0_110,hypothesis,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_95]),c_0_96])]) ).
cnf(c_0_111,hypothesis,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_97]),c_0_98])]) ).
cnf(c_0_112,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_113,plain,
( ~ aScalar0(X1)
| sdtpldt0(sz0z00,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_114,hypothesis,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_70])]) ).
cnf(c_0_115,hypothesis,
smndt0(xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]),c_0_70])]) ).
cnf(c_0_116,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_105]),c_0_106])]) ).
cnf(c_0_117,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_38]),c_0_42]) ).
cnf(c_0_118,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
fof(c_0_119,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_120,plain,
! [X12,X13] :
( X12 = X13
| ~ sdtlseqdt0(X13,X12)
| ~ sdtlseqdt0(X12,X13)
| ~ aScalar0(X13)
| ~ aScalar0(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEASm])])]) ).
cnf(c_0_121,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(xS,X2)
| sdtlseqdt0(xN,sdtasdt0(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_84]),c_0_87]),c_0_85]),c_0_71])]) ).
cnf(c_0_122,hypothesis,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_105]),c_0_106])]) ).
cnf(c_0_123,hypothesis,
sdtlseqdt0(xR,xR),
inference(spm,[status(thm)],[c_0_108,c_0_71]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_38]),c_0_85])]) ).
cnf(c_0_125,hypothesis,
sdtlseqdt0(sz0z00,xR),
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_73,c_0_65]),c_0_110]),c_0_111]),c_0_66]),c_0_67])]) ).
cnf(c_0_126,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| sdtlseqdt0(X1,sdtpldt0(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_49])]) ).
cnf(c_0_127,hypothesis,
sdtpldt0(xS,xS) = sz0z00,
inference(rw,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_128,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,xS)
| sdtlseqdt0(xS,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_85]) ).
cnf(c_0_129,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_130,plain,
( ~ aScalar0(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_131,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,smndt0(xR))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_71])]),c_0_42]) ).
cnf(c_0_132,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_37]) ).
fof(c_0_133,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
cnf(c_0_134,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_135,hypothesis,
( ~ sdtlseqdt0(xS,sz0z00)
| sdtlseqdt0(xN,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_49]),c_0_71])]) ).
cnf(c_0_136,hypothesis,
sdtlseqdt0(sz0z00,xN),
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_73,c_0_124]),c_0_125]),c_0_87]),c_0_71]),c_0_85])]) ).
cnf(c_0_137,hypothesis,
( ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,xS)
| sdtlseqdt0(X1,sz0z00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_87]),c_0_85])]) ).
cnf(c_0_138,hypothesis,
sdtlseqdt0(xS,xS),
inference(spm,[status(thm)],[c_0_128,c_0_85]) ).
cnf(c_0_139,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_42]) ).
cnf(c_0_140,hypothesis,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_105]),c_0_106])]) ).
cnf(c_0_141,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(smndt0(xR),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_106])]) ).
fof(c_0_142,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(fof_nnf,[status(thm)],[c_0_133]) ).
cnf(c_0_143,hypothesis,
( ~ aScalar0(smndt0(xS))
| aScalar0(smndt0(xN)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_69]),c_0_71])]) ).
cnf(c_0_144,hypothesis,
( ~ sdtlseqdt0(xS,sz0z00)
| xN = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_37]),c_0_49])]) ).
cnf(c_0_145,hypothesis,
sdtlseqdt0(xS,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_85])]) ).
cnf(c_0_146,hypothesis,
( ~ sdtlseqdt0(xS,sz0z00)
| xS = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_87]),c_0_49]),c_0_85])]) ).
cnf(c_0_147,plain,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,smndt0(X1)) = sz0z00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_80]),c_0_48]),c_0_49])]) ).
cnf(c_0_148,plain,
( ~ aScalar0(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_149,hypothesis,
sdtpldt0(xR,sz0z00) = sdtpldt0(sz0z00,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_105]),c_0_71]),c_0_106])]) ).
cnf(c_0_150,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(xR,smndt0(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_117]),c_0_71])]) ).
cnf(c_0_151,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_152,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_70])]) ).
cnf(c_0_153,hypothesis,
xN = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145])]) ).
cnf(c_0_154,hypothesis,
xS = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_145])]) ).
cnf(c_0_155,hypothesis,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_48]),c_0_49])]) ).
cnf(c_0_156,hypothesis,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_48]),c_0_49])]) ).
cnf(c_0_157,hypothesis,
sdtpldt0(sz0z00,xR) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_71])]) ).
cnf(c_0_158,hypothesis,
aScalar0(sdtasdt0(xR,xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_105]),c_0_106])]) ).
cnf(c_0_159,negated_conjecture,
sdtpldt0(sdtasdt0(xR,xR),sz0z00) != sdtasdt0(xR,xR),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_129]),c_0_152])]),c_0_153]),c_0_48]),c_0_153]),c_0_48]),c_0_154]),c_0_154]),c_0_155]),c_0_156]),c_0_156]),c_0_154]),c_0_48]),c_0_149]),c_0_157]),c_0_154]),c_0_48]),c_0_149]),c_0_157]),c_0_153]),c_0_48]),c_0_154]),c_0_154]),c_0_155]),c_0_156]),c_0_49]),c_0_158])]) ).
cnf(c_0_160,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_148]),c_0_158])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG060+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:18:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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/benchmark/theBenchmark.p
% 16.23/2.82 % Version: 3.5.1
% 16.23/2.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 16.23/2.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.23/2.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 16.23/2.82 % Starting new_bool_3 with 300s (1) cores
% 16.23/2.82 % Starting new_bool_1 with 300s (1) cores
% 16.23/2.82 % Starting sh5l with 300s (1) cores
% 16.23/2.82 % new_bool_1 with pid 3385027 completed with status 0
% 16.23/2.82 % Result found by new_bool_1
% 16.23/2.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 16.23/2.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.23/2.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 16.23/2.82 % Starting new_bool_3 with 300s (1) cores
% 16.23/2.82 % Starting new_bool_1 with 300s (1) cores
% 16.23/2.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 16.23/2.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.23/2.82 % Search class: FGHSF-FFMM21-MFFFFFNN
% 16.23/2.82 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 16.23/2.82 % Starting SubtermCWHack with 31s (1) cores
% 16.23/2.82 % SubtermCWHack with pid 3385029 completed with status 0
% 16.23/2.82 % Result found by SubtermCWHack
% 16.23/2.82 % Preprocessing class: FSLSSMSMSSSNFFN.
% 16.23/2.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.23/2.82 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 16.23/2.82 % Starting new_bool_3 with 300s (1) cores
% 16.23/2.82 % Starting new_bool_1 with 300s (1) cores
% 16.23/2.82 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 16.23/2.82 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.23/2.82 % Search class: FGHSF-FFMM21-MFFFFFNN
% 16.23/2.82 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 16.23/2.82 % Starting SubtermCWHack with 31s (1) cores
% 16.23/2.82 % Preprocessing time : 0.002 s
% 16.23/2.82
% 16.23/2.82 % Proof found!
% 16.23/2.82 % SZS status Theorem
% 16.23/2.82 % SZS output start CNFRefutation
% See solution above
% 16.23/2.82 % Parsed axioms : 59
% 16.23/2.82 % Removed by relevancy pruning/SinE : 0
% 16.23/2.82 % Initial clauses : 95
% 16.23/2.82 % Removed in clause preprocessing : 5
% 16.23/2.82 % Initial clauses in saturation : 90
% 16.23/2.82 % Processed clauses : 6589
% 16.23/2.82 % ...of these trivial : 539
% 16.23/2.82 % ...subsumed : 3439
% 16.23/2.82 % ...remaining for further processing : 2611
% 16.23/2.82 % Other redundant clauses eliminated : 5
% 16.23/2.82 % Clauses deleted for lack of memory : 0
% 16.23/2.82 % Backward-subsumed : 49
% 16.23/2.82 % Backward-rewritten : 616
% 16.23/2.82 % Generated clauses : 108047
% 16.23/2.82 % ...of the previous two non-redundant : 91668
% 16.23/2.82 % ...aggressively subsumed : 0
% 16.23/2.82 % Contextual simplify-reflections : 117
% 16.23/2.82 % Paramodulations : 108034
% 16.23/2.82 % Factorizations : 0
% 16.23/2.82 % NegExts : 0
% 16.23/2.82 % Equation resolutions : 13
% 16.23/2.82 % Disequality decompositions : 0
% 16.23/2.82 % Total rewrite steps : 154900
% 16.23/2.82 % ...of those cached : 154112
% 16.23/2.82 % Propositional unsat checks : 0
% 16.23/2.82 % Propositional check models : 0
% 16.23/2.82 % Propositional check unsatisfiable : 0
% 16.23/2.82 % Propositional clauses : 0
% 16.23/2.82 % Propositional clauses after purity: 0
% 16.23/2.82 % Propositional unsat core size : 0
% 16.23/2.82 % Propositional preprocessing time : 0.000
% 16.23/2.82 % Propositional encoding time : 0.000
% 16.23/2.82 % Propositional solver time : 0.000
% 16.23/2.82 % Success case prop preproc time : 0.000
% 16.23/2.82 % Success case prop encoding time : 0.000
% 16.23/2.82 % Success case prop solver time : 0.000
% 16.23/2.82 % Current number of processed clauses : 1943
% 16.23/2.82 % Positive orientable unit clauses : 799
% 16.23/2.82 % Positive unorientable unit clauses: 0
% 16.23/2.82 % Negative unit clauses : 3
% 16.23/2.82 % Non-unit-clauses : 1141
% 16.23/2.82 % Current number of unprocessed clauses: 84750
% 16.23/2.82 % ...number of literals in the above : 367985
% 16.23/2.82 % Current number of archived formulas : 0
% 16.23/2.82 % Current number of archived clauses : 665
% 16.23/2.82 % Clause-clause subsumption calls (NU) : 365489
% 16.23/2.82 % Rec. Clause-clause subsumption calls : 206507
% 16.23/2.82 % Non-unit clause-clause subsumptions : 3591
% 16.23/2.82 % Unit Clause-clause subsumption calls : 51410
% 16.23/2.82 % Rewrite failures with RHS unbound : 0
% 16.23/2.82 % BW rewrite match attempts : 2925
% 16.23/2.82 % BW rewrite match successes : 110
% 16.23/2.82 % Condensation attempts : 0
% 16.23/2.82 % Condensation successes : 0
% 16.23/2.82 % Termbank termtop insertions : 2316664
% 16.23/2.82 % Search garbage collected termcells : 892
% 16.23/2.82
% 16.23/2.82 % -------------------------------------------------
% 16.23/2.82 % User time : 2.253 s
% 16.23/2.82 % System time : 0.087 s
% 16.23/2.82 % Total time : 2.340 s
% 16.23/2.82 % Maximum resident set size: 3908 pages
% 16.23/2.82
% 16.23/2.82 % -------------------------------------------------
% 16.23/2.82 % User time : 2.256 s
% 16.23/2.82 % System time : 0.091 s
% 16.23/2.82 % Total time : 2.348 s
% 16.23/2.82 % Maximum resident set size: 4864 pages
% 16.23/2.82 % E exiting
%------------------------------------------------------------------------------