%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG076+2 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 49.09s 6.54s
% Output : CNFRefutation 49.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 95 ( 51 unt; 0 def)
% Number of atoms : 197 ( 18 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 175 ( 73 ~; 73 |; 21 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 32 ( 1 sgn 16 !; 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/sandbox2/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(90,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)],[90]) ).
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/sandbox2/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]) ).
cnf(l932,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(mMDNeg,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> sdtasdt0(smndt0(W0),smndt0(W1)) = sdtasdt0(W0,W1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
cnf(28,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(cnf,[status(esa)],[mMDNeg]) ).
cnf(l7,plain,
( ~ aScalar0(xE)
| ~ aScalar0(xE)
| sdtasdt0(smndt0(xE),smndt0(xE)) = sdtasdt0(xE,xE) ),
inference(instantiation,[status(thm)],[28]) ).
fof(mMulSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
cnf(9,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMulSc]) ).
cnf(l934,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/sandbox2/benchmark/theBenchmark.p',m__1873) ).
cnf(78,plain,
aScalar0(xH),
inference(cnf,[status(esa)],[m__1873]) ).
cnf(l952,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
fof(m__1820,plain,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
cnf(72,plain,
aScalar0(xE),
inference(cnf,[status(esa)],[m__1820]) ).
cnf(l28,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
cnf(l3,plain,
( ~ aScalar0(xC)
| ~ aScalar0(xD)
| aScalar0(sdtasdt0(xC,xD)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l935,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
fof(m__1983,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
cnf(89,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf,[status(esa)],[m__1983]) ).
cnf(l941,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(instantiation,[status(thm)],[89]) ).
fof(mSumSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
cnf(8,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSumSc]) ).
cnf(l946,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l209,plain,
( ~ aScalar0(sdtpldt0(xS,xR))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xS,xR),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__1911,plain,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
cnf(82,plain,
aScalar0(xP),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l957,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(mLETot,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
cnf(34,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf,[status(esa)],[mLETot]) ).
cnf(l1011,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(l937,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l6,plain,
( ~ aScalar0(smndt0(xE))
| ~ aScalar0(smndt0(xE))
| aScalar0(sdtasdt0(smndt0(xE),smndt0(xE))) ),
inference(instantiation,[status(thm)],[9]) ).
fof(mNegSc,plain,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
cnf(10,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf,[status(esa)],[mNegSc]) ).
cnf(l118,plain,
( ~ aScalar0(xE)
| aScalar0(smndt0(xE)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l19,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
cnf(l1012,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l961,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l1014,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l126,plain,
( ~ aScalar0(xE)
| aScalar0(smndt0(xE)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l938,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l130,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
cnf(l953,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(m__1800,plain,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
cnf(70,plain,
aScalar0(xD),
inference(cnf,[status(esa)],[m__1800]) ).
cnf(l11,plain,
aScalar0(xD),
inference(instantiation,[status(thm)],[70]) ).
cnf(l1013,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l2,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtasdt0(xH,xH))
| aScalar0(sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l8,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__1783,plain,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
cnf(68,plain,
aScalar0(xC),
inference(cnf,[status(esa)],[m__1783]) ).
cnf(l17,plain,
aScalar0(xC),
inference(instantiation,[status(thm)],[68]) ).
cnf(l31,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l5,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l235,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l10,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l1015,plain,
( ~ aScalar0(xH)
| ~ aScalar0(xH)
| aScalar0(sdtasdt0(xH,xH)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l9,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l243,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l285,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l1016,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l1344,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
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/sandbox2/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(l241,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xG)
| sdtpldt0(xS,xR) = sdtpldt0(xR,xS) ),
inference(instantiation,[status(thm)],[20]) ).
fof(m__1892,plain,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
cnf(80,plain,
aScalar0(xR),
inference(cnf,[status(esa)],[m__1892]) ).
cnf(l253,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l124,plain,
aScalar0(xE),
inference(instantiation,[status(thm)],[72]) ).
cnf(l940,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xP)
| sdtpldt0(xS,xR) = sdtpldt0(xR,xS) ),
inference(instantiation,[status(thm)],[20]) ).
fof(m__1854,plain,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
cnf(76,plain,
aScalar0(xG),
inference(cnf,[status(esa)],[m__1854]) ).
cnf(l286,plain,
aScalar0(xG),
inference(instantiation,[status(thm)],[76]) ).
fof(m__1930,plain,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
cnf(84,plain,
aScalar0(xS),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l1005,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l991,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l1000,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l242,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
fof(m__1967,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
cnf(88,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)],[88]) ).
cnf(l936,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| aScalar0(sdtpldt0(xS,xR)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l965,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l971,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l236,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xR)
| aScalar0(sdtpldt0(xS,xR)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l237,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l26,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[78]) ).
cnf(l238,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l932,l7,l934,l952,l28,l3,l935,l941,l946,l209,l957,l1011,l937,l6,l118,l19,l1012,l961,l1014,l126,l938,l130,l953,l11,l1013,l2,l8,l17,l31,l5,l235,l10,l1015,l9,l243,l285,l1016,l1344,l241,l253,l124,l940,l286,l1005,l991,l1000,l242,l458,l936,l965,l971,l236,l237,l26,l238]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG076+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n031.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 17:50:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 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: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.19/0.40 % launching worker at depth: 11
% 3.16/0.72 % launching worker at depth: 12
% 49.09/6.54 % SZS status Theorem for theBenchmark
% 49.09/6.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------