%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG073+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 : n017.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 03:02:48 PM UTC 2025
% Result : Theorem 97.91s 12.66s
% Output : CNFRefutation 97.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 92 ( 51 unt; 0 def)
% Number of atoms : 197 ( 32 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 179 ( 74 ~; 71 |; 24 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(97,plain,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(instantiation,[status(thm)],[97]) ).
fof(mSqrt,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtlseqdt0(sz0z00,W0)
& sdtlseqdt0(sz0z00,W1)
& sdtasdt0(W0,W0) = sdtasdt0(W1,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
cnf(38,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[mSqrt]) ).
cnf(l1,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) != sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| sdtpldt0(xR,xS) = sdtpldt0(xP,xP) ),
inference(instantiation,[status(thm)],[38]) ).
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(l2,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[8]) ).
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(l3,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
fof(m__2628,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2628) ).
cnf(94,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf,[status(esa)],[m__2628]) ).
cnf(l324,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(instantiation,[status(thm)],[94]) ).
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(l59,plain,
( ~ aScalar0(xF)
| ~ aScalar0(xD)
| aScalar0(sdtasdt0(xF,xD)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(mLEASm,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
cnf(30,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mLEASm]) ).
cnf(l325,plain,
( ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) = sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(l346,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__1837,plain,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
cnf(74,plain,
aScalar0(xF),
inference(cnf,[status(esa)],[m__1837]) ).
cnf(l80,plain,
aScalar0(xF),
inference(instantiation,[status(thm)],[74]) ).
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(l81,plain,
aScalar0(xD),
inference(instantiation,[status(thm)],[70]) ).
cnf(l370,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l376,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
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(l721,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[34]) ).
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(l371,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l359,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xP,xP))
| aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l800,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l377,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l360,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(mSZeroSc,plain,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
cnf(7,plain,
aScalar0(sz0z00),
inference(cnf,[status(esa)],[mSZeroSc]) ).
cnf(l797,plain,
aScalar0(sz0z00),
inference(instantiation,[status(thm)],[7]) ).
fof(m__2405,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2405) ).
cnf(91,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf,[status(esa)],[m__2405]) ).
cnf(l326,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(instantiation,[status(thm)],[91]) ).
cnf(l392,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
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(l421,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l805,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(m__2654,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2654) ).
cnf(96,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf,[status(esa)],[m__2654]) ).
cnf(l369,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(instantiation,[status(thm)],[96]) ).
cnf(l26,plain,
( ~ aScalar0(sdtpldt0(sz0z00,xP))
| ~ aScalar0(sdtpldt0(xP,sz0z00))
| aScalar0(sdtpldt0(sdtpldt0(sz0z00,xP),sdtpldt0(xP,sz0z00))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l378,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l812,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l397,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l409,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l393,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l32,plain,
( ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| aScalar0(sdtpldt0(xP,sz0z00)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(85,plain,
xS = sdtasdt0(xF,xD),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l54,plain,
xS = sdtasdt0(xF,xD),
inference(instantiation,[status(thm)],[85]) ).
cnf(l416,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l88,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
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/sandbox2/benchmark/theBenchmark.p',mScZero) ).
cnf(11,plain,
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf,[status(esa)],[mScZero]) ).
cnf(l91,plain,
( ~ aScalar0(xP)
| sdtpldt0(xP,sz0z00) = xP ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l89,plain,
aScalar0(sz0z00),
inference(instantiation,[status(thm)],[7]) ).
cnf(l78,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(sz0z00,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l111,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(12,plain,
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf,[status(esa)],[mScZero]) ).
cnf(l82,plain,
( ~ aScalar0(xP)
| sdtpldt0(sz0z00,xP) = xP ),
inference(instantiation,[status(thm)],[12]) ).
fof(mLETrn,plain,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
cnf(31,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf,[status(esa)],[mLETrn]) ).
cnf(l891,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(l134,plain,
aScalar0(sz0z00),
inference(instantiation,[status(thm)],[7]) ).
cnf(l96,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(m__2590,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
cnf(92,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf,[status(esa)],[m__2590]) ).
cnf(l907,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(instantiation,[status(thm)],[92]) ).
cnf(l892,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l920,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l90,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l993,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(instantiation,[status(thm)],[94]) ).
cnf(l930,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l893,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| aScalar0(sdtpldt0(xR,xS)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l899,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l897,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l895,plain,
aScalar0(sz0z00),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l324,l59,l325,l346,l80,l81,l370,l376,l721,l371,l359,l800,l377,l360,l797,l326,l392,l421,l805,l369,l26,l378,l812,l397,l409,l393,l32,l54,l416,l88,l91,l89,l78,l111,l82,l891,l134,l96,l907,l892,l920,l90,l993,l930,l893,l899,l897,l895]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG073+2 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 17:50:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 3.65/0.79 % launching worker at depth: 12
% 97.91/12.66 % SZS status Theorem for theBenchmark
% 97.91/12.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------