%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG064+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 : n006.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 02:05:42 PM UTC 2026
% Result : Theorem 8.30s 1.79s
% Output : CNFRefutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 145 ( 61 unt; 0 def)
% Number of atoms : 386 ( 100 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 404 ( 163 ~; 162 |; 60 &)
% ( 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 : 133 ( 2 sgn 64 !; 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(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
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(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
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(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(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(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(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(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(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/sandbox/benchmark/theBenchmark.p',mDistr) ).
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__,conjecture,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
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(c_0_27,plain,
! [X47,X48] :
( ( ~ aScalar0(X48)
| ~ aScalar0(X47)
| sdtasdt0(smndt0(X47),X48) = smndt0(sdtasdt0(X47,X48)) )
& ( ~ aScalar0(X48)
| ~ aScalar0(X47)
| sdtasdt0(X47,smndt0(X48)) = smndt0(sdtasdt0(X47,X48)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
fof(c_0_28,plain,
! [X23,X24] :
( aScalar0(sdtasdt0(X23,X24))
| ~ aScalar0(X24)
| ~ aScalar0(X23) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
cnf(c_0_29,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_30,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_31,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_32,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_33,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,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_29,c_0_30]),c_0_31]),c_0_32])]) ).
fof(c_0_35,plain,
! [X45] :
( aScalar0(smndt0(X45))
| ~ aScalar0(X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
fof(c_0_36,plain,
! [X46] :
( ( ~ aScalar0(X46)
| smndt0(sz0z00) = sz0z00 )
& ( ~ aScalar0(X46)
| smndt0(smndt0(X46)) = X46 )
& ( ~ aScalar0(X46)
| sdtpldt0(smndt0(X46),X46) = sz0z00 )
& ( ~ aScalar0(X46)
| sdtpldt0(X46,smndt0(X46)) = sz0z00 )
& ( ~ aScalar0(X46)
| sdtasdt0(sz0z00,X46) = sz0z00 )
& ( ~ aScalar0(X46)
| sdtasdt0(X46,sz0z00) = sz0z00 )
& ( ~ aScalar0(X46)
| sdtpldt0(sz0z00,X46) = X46 )
& ( ~ aScalar0(X46)
| sdtpldt0(X46,sz0z00) = X46 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])])]) ).
cnf(c_0_37,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_38,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_39,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_40,hypothesis,
( ~ aScalar0(smndt0(xD))
| aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]) ).
cnf(c_0_41,plain,
( ~ aScalar0(X1)
| aScalar0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( ~ aScalar0(X1)
| smndt0(smndt0(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,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_29,c_0_37]),c_0_38]),c_0_39])]) ).
fof(c_0_44,plain,
! [X49,X50] :
( sdtasdt0(smndt0(X49),smndt0(X50)) = sdtasdt0(X49,X50)
| ~ aScalar0(X50)
| ~ aScalar0(X49) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])])]) ).
cnf(c_0_45,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_46,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_47,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_31])]) ).
cnf(c_0_48,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_49,plain,
( ~ aScalar0(X1)
| smndt0(sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_51,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_52,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_53,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_29]),c_0_33]) ).
cnf(c_0_54,hypothesis,
( ~ aScalar0(smndt0(xG))
| aScalar0(smndt0(xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_43]),c_0_39])]) ).
cnf(c_0_55,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,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_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_57,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_58,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
fof(c_0_59,plain,
! [X29] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X29,X29))
| ~ aVector0(X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScSqPos])])]) ).
fof(c_0_60,plain,
! [X69] :
( sdtlseqdt0(sz0z00,sdtasdt0(X69,X69))
| ~ aScalar0(X69) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqPos])])]) ).
cnf(c_0_61,plain,
( ~ aScalar0(X1)
| sdtasdt0(X1,sz0z00) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_62,hypothesis,
smndt0(sz0z00) = sz0z00,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_63,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_64,hypothesis,
sdtasdt0(xA,smndt0(xA)) = smndt0(xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_51]),c_0_52])]) ).
cnf(c_0_65,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| aScalar0(sdtasdt0(X1,smndt0(X2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_29]),c_0_33]) ).
fof(c_0_66,plain,
! [X21,X22] :
( sdtlseqdt0(X22,X21)
| sdtlseqdt0(X21,X22)
| ~ aScalar0(X22)
| ~ aScalar0(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETot])])]) ).
cnf(c_0_67,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_53,c_0_43]),c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_68,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_41]),c_0_38])]) ).
fof(c_0_69,plain,
! [X53,X54,X55] :
( ( ~ aScalar0(X55)
| ~ aScalar0(X54)
| ~ aScalar0(X53)
| sdtasdt0(X53,X54) = sdtasdt0(X54,X53) )
& ( ~ aScalar0(X55)
| ~ aScalar0(X54)
| ~ aScalar0(X53)
| sdtasdt0(sdtasdt0(X53,X54),X55) = sdtasdt0(X53,sdtasdt0(X54,X55)) )
& ( ~ aScalar0(X55)
| ~ aScalar0(X54)
| ~ aScalar0(X53)
| sdtpldt0(X53,X54) = sdtpldt0(X54,X53) )
& ( ~ aScalar0(X55)
| ~ aScalar0(X54)
| ~ aScalar0(X53)
| sdtpldt0(sdtpldt0(X53,X54),X55) = sdtpldt0(X53,sdtpldt0(X54,X55)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).
cnf(c_0_70,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_71,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_55,c_0_56]),c_0_57]),c_0_58]),c_0_48])]) ).
fof(c_0_72,plain,
! [X67,X68] :
( ( ~ aScalar0(X68)
| ~ aScalar0(X67)
| ~ sdtlseqdt0(sz0z00,X68)
| ~ sdtlseqdt0(sz0z00,X67)
| sdtlseqdt0(sz0z00,sdtasdt0(X67,X68)) )
& ( ~ aScalar0(X68)
| ~ aScalar0(X67)
| ~ sdtlseqdt0(sz0z00,X68)
| ~ sdtlseqdt0(sz0z00,X67)
| sdtlseqdt0(sz0z00,sdtpldt0(X67,X68)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPosMon])])])]) ).
cnf(c_0_73,plain,
( ~ aVector0(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_75,hypothesis,
aVector0(xq),
inference(split_conjunct,[status(thm)],[m__1726]) ).
cnf(c_0_76,plain,
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_77,plain,
! [X63,X64,X65,X66] :
( sdtlseqdt0(sdtasdt0(X63,X65),sdtasdt0(X64,X66))
| ~ sdtlseqdt0(X65,X66)
| ~ sdtlseqdt0(sz0z00,X65)
| ~ sdtlseqdt0(X63,X64)
| ~ aScalar0(X66)
| ~ aScalar0(X65)
| ~ aScalar0(X64)
| ~ aScalar0(X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_78,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_45,c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_79,hypothesis,
smndt0(smndt0(xF)) = xF,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_64]),c_0_51]),c_0_52])]) ).
cnf(c_0_80,hypothesis,
aScalar0(smndt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_64]),c_0_52])]) ).
cnf(c_0_81,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_82,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(X1,xR)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_67]),c_0_68])]) ).
cnf(c_0_83,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_42]),c_0_41]) ).
cnf(c_0_84,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_85,plain,
! [X56,X57,X58] :
( ( ~ aScalar0(X58)
| ~ aScalar0(X57)
| ~ aScalar0(X56)
| sdtasdt0(sdtpldt0(X56,X57),X58) = sdtpldt0(sdtasdt0(X56,X58),sdtasdt0(X57,X58)) )
& ( ~ aScalar0(X58)
| ~ aScalar0(X57)
| ~ aScalar0(X56)
| sdtasdt0(X56,sdtpldt0(X57,X58)) = sdtpldt0(sdtasdt0(X56,X57),sdtasdt0(X56,X58)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])])]) ).
cnf(c_0_86,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_45,c_0_70]),c_0_48]),c_0_47])]),c_0_71]) ).
fof(c_0_87,plain,
! [X70,X71] :
( X70 = X71
| sdtasdt0(X70,X70) != sdtasdt0(X71,X71)
| ~ sdtlseqdt0(sz0z00,X71)
| ~ sdtlseqdt0(sz0z00,X70)
| ~ aScalar0(X71)
| ~ aScalar0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSqrt])])]) ).
cnf(c_0_88,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_89,hypothesis,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_90,hypothesis,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_51]),c_0_52])]) ).
cnf(c_0_91,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_77]) ).
cnf(c_0_92,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_45,c_0_30]),c_0_31]),c_0_32])]) ).
cnf(c_0_93,hypothesis,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_94,hypothesis,
( ~ aScalar0(X1)
| sdtlseqdt0(X1,smndt0(xF))
| sdtlseqdt0(smndt0(xF),X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_80]) ).
cnf(c_0_95,plain,
( ~ aScalar0(X1)
| sdtasdt0(sz0z00,X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_96,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_97,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_82,c_0_83]),c_0_48])]),c_0_41]) ).
cnf(c_0_98,hypothesis,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_50]) ).
fof(c_0_99,plain,
! [X51,X52] :
( aScalar0(sdtpldt0(X51,X52))
| ~ aScalar0(X52)
| ~ aScalar0(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])])]) ).
cnf(c_0_100,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_101,hypothesis,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_42]),c_0_58])]) ).
cnf(c_0_102,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_87]) ).
cnf(c_0_103,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_88,c_0_30]),c_0_89]),c_0_90]),c_0_31]),c_0_32])]) ).
cnf(c_0_104,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_91,c_0_92]),c_0_31])]),c_0_80])]) ).
cnf(c_0_105,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_45,c_0_93]),c_0_62]),c_0_63]),c_0_32])]) ).
cnf(c_0_106,hypothesis,
sdtlseqdt0(smndt0(xF),smndt0(xF)),
inference(spm,[status(thm)],[c_0_94,c_0_80]) ).
cnf(c_0_107,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_95]),c_0_63])]) ).
fof(c_0_108,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_109,plain,
! [X17,X18,X19,X20] :
( sdtlseqdt0(sdtpldt0(X17,X19),sdtpldt0(X18,X20))
| ~ sdtlseqdt0(X19,X20)
| ~ sdtlseqdt0(X17,X18)
| ~ aScalar0(X20)
| ~ aScalar0(X19)
| ~ aScalar0(X18)
| ~ aScalar0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMon])])]) ).
cnf(c_0_110,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_111,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(smndt0(xR),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_68])]) ).
cnf(c_0_112,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_113,hypothesis,
( ~ aScalar0(X1)
| sdtpldt0(sdtasdt0(xR,X1),xN) = sdtasdt0(xR,sdtpldt0(X1,xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_57]),c_0_58]),c_0_48])]) ).
cnf(c_0_114,hypothesis,
( ~ aScalar0(smndt0(xS))
| aScalar0(smndt0(xN)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_46]),c_0_48])]) ).
cnf(c_0_115,hypothesis,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_101]),c_0_48]),c_0_58])]) ).
cnf(c_0_116,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_102,c_0_103]),c_0_58])]) ).
cnf(c_0_117,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_104,c_0_105]),c_0_106]),c_0_107]),c_0_89]),c_0_63]),c_0_80])]) ).
fof(c_0_118,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(fof_nnf,[status(thm)],[c_0_108]) ).
cnf(c_0_119,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_109]) ).
cnf(c_0_120,plain,
( ~ aScalar0(X1)
| sdtpldt0(X1,sz0z00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_121,hypothesis,
( ~ aScalar0(smndt0(xS))
| sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)) ),
inference(spm,[status(thm)],[c_0_76,c_0_110]) ).
cnf(c_0_122,hypothesis,
( ~ aScalar0(smndt0(xS))
| aScalar0(sdtasdt0(xS,xS)) ),
inference(spm,[status(thm)],[c_0_33,c_0_110]) ).
cnf(c_0_123,hypothesis,
( ~ aScalar0(X1)
| aScalar0(sdtasdt0(xR,smndt0(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_83]),c_0_48])]) ).
cnf(c_0_124,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| aScalar0(sdtasdt0(X1,sdtpldt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_100]),c_0_33]),c_0_33]) ).
cnf(c_0_125,hypothesis,
sdtasdt0(xR,sdtpldt0(xS,xS)) = sdtpldt0(xN,xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_57]),c_0_58])]) ).
cnf(c_0_126,plain,
( ~ aScalar0(X1)
| sdtpldt0(smndt0(X1),X1) = sz0z00 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_127,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_47])]) ).
cnf(c_0_128,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xR)) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_115]),c_0_71]),c_0_68]),c_0_58])]) ).
cnf(c_0_129,hypothesis,
smndt0(xS) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_110]),c_0_47])]) ).
cnf(c_0_130,plain,
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_131,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_132,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(sz0z00,X3)
| sdtlseqdt0(X1,sdtpldt0(X2,X3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_63])]) ).
cnf(c_0_133,hypothesis,
sdtlseqdt0(sz0z00,sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_47])]) ).
cnf(c_0_134,hypothesis,
aScalar0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_41]),c_0_58])]) ).
cnf(c_0_135,hypothesis,
aScalar0(sdtasdt0(xR,xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_67]),c_0_68])]) ).
cnf(c_0_136,hypothesis,
aScalar0(sdtpldt0(xN,xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_58]),c_0_48])]) ).
cnf(c_0_137,hypothesis,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_71]),c_0_127])]) ).
cnf(c_0_138,hypothesis,
smndt0(xN) = xN,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_115]) ).
cnf(c_0_139,plain,
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,sdtasdt0(X2,sdtasdt0(X1,X2)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_130]),c_0_33]) ).
cnf(c_0_140,hypothesis,
( ~ aScalar0(X1)
| sdtasdt0(xC,sdtasdt0(xG,X1)) = sdtasdt0(xR,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_37]),c_0_38]),c_0_39])]) ).
cnf(c_0_141,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(xN,xN),sdtasdt0(xR,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_131,c_0_132]),c_0_133]),c_0_134]),c_0_135]),c_0_136])]) ).
cnf(c_0_142,hypothesis,
sdtpldt0(xN,xN) = sz0z00,
inference(rw,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,hypothesis,
sdtlseqdt0(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(spm,[status(thm)],[c_0_139,c_0_140]),c_0_37]),c_0_38]),c_0_39]),c_0_37]),c_0_48])]) ).
cnf(c_0_144,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG064+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n006.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 04:16:27 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 8.30/1.79 % Version: 3.5.1
% 8.30/1.79 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.30/1.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.30/1.79 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.30/1.79 % Starting new_bool_3 with 300s (1) cores
% 8.30/1.79 % Starting new_bool_1 with 300s (1) cores
% 8.30/1.79 % Starting sh5l with 300s (1) cores
% 8.30/1.79 % new_bool_3 with pid 1987508 completed with status 0
% 8.30/1.79 % Result found by new_bool_3
% 8.30/1.79 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.30/1.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.30/1.79 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.30/1.79 % Starting new_bool_3 with 300s (1) cores
% 8.30/1.79 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.30/1.79 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.30/1.79 % Search class: FGHSF-FFMM21-MFFFFFNN
% 8.30/1.79 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.30/1.79 % Starting SubtermCWHack with 31s (1) cores
% 8.30/1.79 % SubtermCWHack with pid 1987513 completed with status 0
% 8.30/1.79 % Result found by SubtermCWHack
% 8.30/1.79 % Preprocessing class: FSLSSMSMSSSNFFN.
% 8.30/1.79 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.30/1.79 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 8.30/1.79 % Starting new_bool_3 with 300s (1) cores
% 8.30/1.79 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 8.30/1.79 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 8.30/1.79 % Search class: FGHSF-FFMM21-MFFFFFNN
% 8.30/1.79 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 8.30/1.79 % Starting SubtermCWHack with 31s (1) cores
% 8.30/1.79 % Preprocessing time : 0.003 s
% 8.30/1.79
% 8.30/1.79 % Proof found!
% 8.30/1.79 % SZS status Theorem
% 8.30/1.79 % SZS output start CNFRefutation
% See solution above
% 8.30/1.79 % Parsed axioms : 64
% 8.30/1.79 % Removed by relevancy pruning/SinE : 0
% 8.30/1.79 % Initial clauses : 100
% 8.30/1.79 % Removed in clause preprocessing : 5
% 8.30/1.79 % Initial clauses in saturation : 95
% 8.30/1.79 % Processed clauses : 5702
% 8.30/1.79 % ...of these trivial : 415
% 8.30/1.79 % ...subsumed : 2967
% 8.30/1.79 % ...remaining for further processing : 2320
% 8.30/1.79 % Other redundant clauses eliminated : 5
% 8.30/1.79 % Clauses deleted for lack of memory : 0
% 8.30/1.79 % Backward-subsumed : 48
% 8.30/1.79 % Backward-rewritten : 330
% 8.30/1.79 % Generated clauses : 79387
% 8.30/1.79 % ...of the previous two non-redundant : 67524
% 8.30/1.79 % ...aggressively subsumed : 0
% 8.30/1.79 % Contextual simplify-reflections : 105
% 8.30/1.79 % Paramodulations : 79373
% 8.30/1.79 % Factorizations : 0
% 8.30/1.79 % NegExts : 0
% 8.30/1.79 % Equation resolutions : 14
% 8.30/1.79 % Disequality decompositions : 0
% 8.30/1.79 % Total rewrite steps : 107043
% 8.30/1.79 % ...of those cached : 106360
% 8.30/1.79 % Propositional unsat checks : 0
% 8.30/1.79 % Propositional check models : 0
% 8.30/1.79 % Propositional check unsatisfiable : 0
% 8.30/1.79 % Propositional clauses : 0
% 8.30/1.79 % Propositional clauses after purity: 0
% 8.30/1.79 % Propositional unsat core size : 0
% 8.30/1.79 % Propositional preprocessing time : 0.000
% 8.30/1.79 % Propositional encoding time : 0.000
% 8.30/1.79 % Propositional solver time : 0.000
% 8.30/1.79 % Success case prop preproc time : 0.000
% 8.30/1.79 % Success case prop encoding time : 0.000
% 8.30/1.79 % Success case prop solver time : 0.000
% 8.30/1.79 % Current number of processed clauses : 1939
% 8.30/1.79 % Positive orientable unit clauses : 702
% 8.30/1.79 % Positive unorientable unit clauses: 0
% 8.30/1.79 % Negative unit clauses : 2
% 8.30/1.79 % Non-unit-clauses : 1235
% 8.30/1.79 % Current number of unprocessed clauses: 61668
% 8.30/1.79 % ...number of literals in the above : 250987
% 8.30/1.79 % Current number of archived formulas : 0
% 8.30/1.79 % Current number of archived clauses : 378
% 8.30/1.79 % Clause-clause subsumption calls (NU) : 138812
% 8.30/1.79 % Rec. Clause-clause subsumption calls : 88905
% 8.30/1.79 % Non-unit clause-clause subsumptions : 3082
% 8.30/1.79 % Unit Clause-clause subsumption calls : 9348
% 8.30/1.79 % Rewrite failures with RHS unbound : 0
% 8.30/1.79 % BW rewrite match attempts : 2391
% 8.30/1.79 % BW rewrite match successes : 92
% 8.30/1.79 % Condensation attempts : 0
% 8.30/1.79 % Condensation successes : 0
% 8.30/1.79 % Termbank termtop insertions : 1629916
% 8.30/1.79 % Search garbage collected termcells : 904
% 8.30/1.79
% 8.30/1.79 % -------------------------------------------------
% 8.30/1.79 % User time : 1.047 s
% 8.30/1.79 % System time : 0.058 s
% 8.30/1.79 % Total time : 1.105 s
% 8.30/1.79 % Maximum resident set size: 3964 pages
% 8.30/1.79
% 8.30/1.79 % -------------------------------------------------
% 8.30/1.79 % User time : 1.051 s
% 8.30/1.79 % System time : 0.064 s
% 8.30/1.79 % Total time : 1.115 s
% 8.30/1.79 % Maximum resident set size: 4864 pages
% 8.30/1.79 % E exiting
%------------------------------------------------------------------------------