%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG061+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 : n018.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 03:02:46 PM UTC 2025
% Result : Theorem 25.48s 3.57s
% Output : CNFRefutation 25.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 23 unt; 0 def)
% Number of atoms : 83 ( 26 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 66 ( 25 ~; 22 |; 15 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(90,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))),
inference(instantiation,[status(thm)],[90]) ).
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(l11,plain,
( ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(xH)
| sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) = sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)) ),
inference(instantiation,[status(thm)],[20]) ).
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(l62,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
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(l67,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
fof(m__2144,plain,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).
cnf(86,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l91,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(l71,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
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(l280,plain,
aScalar0(xH),
inference(instantiation,[status(thm)],[74]) ).
fof(mNegSc,plain,
! [W0] :
( aScalar0(W0)
=> aScalar0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNegSc) ).
cnf(10,plain,
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf,[status(esa)],[mNegSc]) ).
cnf(l53,plain,
( ~ aScalar0(xN)
| aScalar0(smndt0(xN)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(m__1949,plain,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
cnf(82,plain,
aScalar0(xN),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l73,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[82]) ).
fof(mDistr2,plain,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> sdtasdt0(sdtpldt0(W0,W1),sdtpldt0(W2,W3)) = sdtpldt0(sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W0,W3)),sdtpldt0(sdtasdt0(W1,W2),sdtasdt0(W1,W3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
cnf(25,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf,[status(esa)],[mDistr2]) ).
cnf(l72,plain,
( ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| ~ aScalar0(smndt0(xS))
| sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xS),xR),sdtasdt0(smndt0(xS),smndt0(xS)))) ),
inference(instantiation,[status(thm)],[25]) ).
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(l150,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(l181,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l191,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(l138,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l182,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
cnf(l170,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
cnf(87,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l197,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(instantiation,[status(thm)],[87]) ).
cnf(88,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l178,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(instantiation,[status(thm)],[88]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l11,l62,l67,l91,l71,l280,l53,l73,l72,l150,l181,l191,l138,l182,l170,l197,l178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG061+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 17:45:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 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: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 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
% 0.12/0.35 % launching worker at depth: 11
% 1.60/0.56 % launching worker at depth: 12
% 25.48/3.57 % SZS status Theorem for theBenchmark
% 25.48/3.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------