%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG067+2 : 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 20.96s 3.00s
% Output : CNFRefutation 20.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 78 ( 46 unt; 0 def)
% Number of atoms : 152 ( 8 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 135 ( 61 ~; 58 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 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(91,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)],[91]) ).
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]) ).
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(l2,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(82,plain,
aScalar0(xP),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l8,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l410,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(m__1949,plain,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
cnf(86,plain,
aScalar0(xN),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l566,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(l421,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
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(l411,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l430,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l412,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l323,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
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(90,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf,[status(esa)],[m__2104]) ).
cnf(l588,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(instantiation,[status(thm)],[90]) ).
fof(m__2004,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
cnf(89,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf,[status(esa)],[m__2004]) ).
cnf(l860,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(instantiation,[status(thm)],[89]) ).
fof(m__1892,plain,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
cnf(80,plain,
aScalar0(xR),
inference(cnf,[status(esa)],[m__1892]) ).
cnf(l502,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l433,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l501,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l489,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l595,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(instantiation,[status(thm)],[89]) ).
cnf(l9,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xE,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l423,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l414,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l460,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l500,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(m__1930,plain,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
cnf(84,plain,
aScalar0(xS),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l415,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l454,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(83,plain,
xP = sdtasdt0(xE,xH),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l120,plain,
xP = sdtasdt0(xE,xH),
inference(instantiation,[status(thm)],[83]) ).
fof(m__1873,plain,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(78,plain,
aScalar0(xH),
inference(cnf,[status(esa)],[m__1873]) ).
cnf(l69,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
fof(m__1820,plain,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
cnf(72,plain,
aScalar0(xE),
inference(cnf,[status(esa)],[m__1820]) ).
cnf(l61,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
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]) ).
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(l41,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l96,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l95,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l11,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(l497,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l439,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l43,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l124,plain,
aScalar0(xR),
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]) ).
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(l6,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l62,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l488,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l111,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l89,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l99,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l67,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l97,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l100,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l16,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l91,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l410,l566,l421,l411,l430,l412,l323,l588,l860,l502,l433,l501,l489,l595,l9,l423,l414,l460,l500,l415,l454,l120,l69,l61,l3,l10,l41,l96,l95,l11,l497,l439,l43,l124,l4,l7,l6,l62,l488,l111,l89,l99,l67,l97,l100,l16,l91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG067+2 : 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
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 17:48:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 2.83/0.71 % launching worker at depth: 12
% 20.96/3.00 % SZS status Theorem for theBenchmark
% 20.96/3.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------