%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG076+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 : n029.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 03:02:49 PM UTC 2025
% Result : Theorem 26.28s 3.65s
% Output : CNFRefutation 26.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 87 ( 50 unt; 0 def)
% Number of atoms : 179 ( 16 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 159 ( 67 ~; 67 |; 19 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 26 ( 1 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(86,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(instantiation,[status(thm)],[86]) ).
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(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| ~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))) ),
inference(instantiation,[status(thm)],[32]) ).
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(l132,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l8,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xP,xP))
| aScalar0(sdtpldt0(sdtasdt0(xH,xH),sdtpldt0(xP,xP))) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__1967,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1967) ).
cnf(84,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf,[status(esa)],[m__1967]) ).
cnf(l458,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(instantiation,[status(thm)],[84]) ).
cnf(l133,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[8]) ).
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(l162,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l469,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[32]) ).
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(l153,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
fof(mLETot,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
cnf(34,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf,[status(esa)],[mLETot]) ).
cnf(l541,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH))
| sdtlseqdt0(sdtasdt0(xH,xH),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(l484,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[8]) ).
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(l4,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| aScalar0(sdtasdt0(xE,xE)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l545,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
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(l577,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l489,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l485,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l503,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
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(l512,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l146,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l497,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l150,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(l7,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[68]) ).
cnf(l6,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[68]) ).
fof(mArith,plain,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2))
& sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
& sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2))
& sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
cnf(20,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf,[status(esa)],[mArith]) ).
cnf(l5,plain,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(xP)
| sdtpldt0(sdtasdt0(xH,xH),sdtpldt0(xP,xP)) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l27,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l11,plain,
( ~ aScalar0(sdtasasdt0(xp,xp))
| ~ aScalar0(xD)
| aScalar0(sdtasdt0(sdtasasdt0(xp,xp),xD)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l486,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(l491,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l509,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l55,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
fof(m__1800,plain,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
cnf(66,plain,
aScalar0(xD),
inference(cnf,[status(esa)],[m__1800]) ).
cnf(l12,plain,
aScalar0(xD),
inference(instantiation,[status(thm)],[66]) ).
cnf(l566,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l10,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l147,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l32,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l80,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l36,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l539,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l9,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l81,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l74,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l70,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l78,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l79,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l591,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l552,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
fof(m__1783,plain,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
cnf(65,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf,[status(esa)],[m__1783]) ).
cnf(l88,plain,
xC = sdtasasdt0(xp,xp),
inference(instantiation,[status(thm)],[65]) ).
fof(m__1983,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1983) ).
cnf(85,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf,[status(esa)],[m__1983]) ).
cnf(l524,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(instantiation,[status(thm)],[85]) ).
cnf(l565,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l543,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l571,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l572,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
cnf(l56,plain,
xC = sdtasasdt0(xp,xp),
inference(instantiation,[status(thm)],[65]) ).
cnf(64,plain,
aScalar0(xC),
inference(cnf,[status(esa)],[m__1783]) ).
cnf(l16,plain,
aScalar0(xC),
inference(instantiation,[status(thm)],[64]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l132,l8,l458,l133,l162,l469,l153,l541,l484,l4,l545,l577,l489,l485,l503,l512,l146,l497,l150,l7,l6,l5,l27,l11,l486,l491,l509,l55,l12,l566,l10,l147,l32,l80,l36,l539,l9,l81,l74,l70,l78,l79,l591,l552,l88,l524,l565,l543,l571,l572,l56,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG076+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 17:50:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 2.85/0.73 % launching worker at depth: 12
% 26.28/3.65 % SZS status Theorem for theBenchmark
% 26.28/3.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------