%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG061+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 : n026.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 8.39s 1.43s
% Output : CNFRefutation 8.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 56 ( 23 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 40 ( 15 ~; 12 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn 6 !; 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/sandbox2/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(94,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)],[94]) ).
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(l7,plain,
( ~ aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xF,xD))
| sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)) = sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[20]) ).
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(l12,plain,
( ~ aScalar0(xN)
| aScalar0(smndt0(xN)) ),
inference(instantiation,[status(thm)],[10]) ).
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(l13,plain,
( ~ aScalar0(xS)
| ~ aScalar0(xS)
| aScalar0(sdtasdt0(xS,xS)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(m__1949,plain,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
cnf(86,plain,
aScalar0(xN),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l30,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
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(l44,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l193,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l39,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
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/sandbox2/benchmark/theBenchmark.p',m__2144) ).
cnf(90,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l105,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(instantiation,[status(thm)],[90]) ).
fof(m__2180,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2180) ).
cnf(93,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(cnf,[status(esa)],[m__2180]) ).
cnf(l65,plain,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(instantiation,[status(thm)],[93]) ).
cnf(l155,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(instantiation,[status(thm)],[90]) ).
cnf(85,plain,
xS = sdtasdt0(xF,xD),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l195,plain,
xS = sdtasdt0(xF,xD),
inference(instantiation,[status(thm)],[85]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l7,l12,l13,l30,l44,l193,l39,l105,l65,l155,l195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG061+2 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 17:46:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 4
% 0.12/0.34 % launching worker at depth: 1
% 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: 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
% 0.12/0.35 % launching worker at depth: 11
% 0.18/0.57 % launching worker at depth: 12
% 8.39/1.43 % SZS status Theorem for theBenchmark
% 8.39/1.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------