%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG067+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:02:47 PM UTC 2025
% Result : Theorem 24.28s 3.43s
% Output : CNFRefutation 24.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 93 ( 55 unt; 0 def)
% Number of atoms : 183 ( 21 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 159 ( 69 ~; 66 |; 19 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(87,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)),
inference(instantiation,[status(thm)],[87]) ).
fof(mLEMon,plain,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W2,W3) )
=> sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
cnf(32,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf,[status(esa)],[mLEMon]) ).
cnf(l1,plain,
( ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN),xN)) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l254,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(xN)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),xN)
| sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP)),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
inference(instantiation,[status(thm)],[32]) ).
fof(mMulSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
cnf(9,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMulSc]) ).
cnf(l265,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__1911,plain,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(78,plain,
aScalar0(xP),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l294,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
fof(m__2004,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
cnf(85,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf,[status(esa)],[m__2004]) ).
cnf(l635,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(instantiation,[status(thm)],[85]) ).
fof(mSumSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
cnf(8,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSumSc]) ).
cnf(l3,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ aScalar0(xN)
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),xN)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(mScZero,plain,
! [W0] :
( aScalar0(W0)
=> ( sdtpldt0(W0,sz0z00) = W0
& sdtpldt0(sz0z00,W0) = W0
& sdtasdt0(W0,sz0z00) = sz0z00
& sdtasdt0(sz0z00,W0) = sz0z00
& sdtpldt0(W0,smndt0(W0)) = sz0z00
& sdtpldt0(smndt0(W0),W0) = sz0z00
& smndt0(smndt0(W0)) = W0
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mScZero) ).
cnf(12,plain,
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf,[status(esa)],[mScZero]) ).
cnf(l52,plain,
( ~ aScalar0(xP)
| sdtpldt0(sz0z00,xP) = xP ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l263,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l300,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l50,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xR,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l665,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(instantiation,[status(thm)],[85]) ).
fof(m__1930,plain,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
cnf(80,plain,
aScalar0(xS),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l95,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l4,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtasdt0(xP,xP))) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__1892,plain,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
cnf(76,plain,
aScalar0(xR),
inference(cnf,[status(esa)],[m__1892]) ).
cnf(l98,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
fof(m__1949,plain,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
cnf(83,plain,
xN = sdtasdt0(xR,xS),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l97,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[83]) ).
cnf(l7,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(82,plain,
aScalar0(xN),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l255,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[82]) ).
cnf(l256,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l258,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l275,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l280,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l257,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l281,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l289,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
fof(m__2104,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2104) ).
cnf(86,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf,[status(esa)],[m__2104]) ).
cnf(l479,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(instantiation,[status(thm)],[86]) ).
cnf(l6,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l47,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l278,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(l36,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l259,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(79,plain,
xP = sdtasdt0(xE,xH),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l64,plain,
xP = sdtasdt0(xE,xH),
inference(instantiation,[status(thm)],[79]) ).
cnf(l38,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l79,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l75,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l8,plain,
( ~ aScalar0(sdtpldt0(sz0z00,xP))
| ~ aScalar0(sdtasdt0(xE,xH))
| aScalar0(sdtasdt0(sdtpldt0(sz0z00,xP),sdtasdt0(xE,xH))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xE,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l344,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l16,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l304,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l37,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l316,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
fof(m__1873,plain,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(74,plain,
aScalar0(xH),
inference(cnf,[status(esa)],[m__1873]) ).
cnf(l14,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
fof(m__1820,plain,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
cnf(68,plain,
aScalar0(xE),
inference(cnf,[status(esa)],[m__1820]) ).
cnf(l24,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[68]) ).
cnf(l74,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l358,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[83]) ).
cnf(l383,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xR,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l67,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l388,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l279,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l13,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(sz0z00,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(mSZeroSc,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
cnf(7,plain,
aScalar0(sz0z00),
inference(cnf,[status(esa)],[mSZeroSc]) ).
cnf(l17,plain,
aScalar0(sz0z00),
inference(instantiation,[status(thm)],[7]) ).
cnf(l15,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l439,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(l10,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l48,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l126,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l63,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l114,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l78,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(l77,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l254,l265,l294,l635,l3,l52,l263,l300,l50,l665,l95,l4,l98,l97,l7,l255,l256,l258,l275,l280,l257,l281,l289,l479,l6,l47,l278,l36,l259,l64,l38,l79,l75,l8,l12,l344,l16,l304,l37,l316,l14,l24,l74,l358,l383,l67,l388,l279,l13,l17,l15,l439,l10,l48,l126,l63,l114,l78,l77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG067+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 17:48:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.37 % launching worker at depth: 11
% 1.86/0.62 % launching worker at depth: 12
% 24.28/3.43 % SZS status Theorem for theBenchmark
% 24.28/3.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------