%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG060+2 : 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 : n027.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 0.10s 0.29s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 47 ( 18 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 14 ~; 11 |; 7 &)
% ( 0 <=>; 2 =>; 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,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/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(smndt0(xN),sdtasdt0(xS,xS))),
inference(negate_conjecture,[status(cth)],[m__]) ).
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___negated]) ).
cnf(l0,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]) ).
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(l2,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(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(l3,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l39,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[10]) ).
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(90,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l6,plain,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(instantiation,[status(thm)],[90]) ).
fof(m__1930,plain,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
cnf(84,plain,
aScalar0(xS),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l47,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
fof(m__1892,plain,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
cnf(80,plain,
aScalar0(xR),
inference(cnf,[status(esa)],[m__1892]) ).
cnf(l10,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l37,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(91,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l12,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(instantiation,[status(thm)],[91]) ).
cnf(l22,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(92,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(cnf,[status(esa)],[m__2144]) ).
cnf(l15,plain,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(instantiation,[status(thm)],[92]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l39,l6,l47,l10,l37,l12,l22,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : RNG060+2 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.25 % Computer : n027.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Jul 21 17:45:33 EDT 2025
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % launching worker at depth: 10
% 0.06/0.27 % launching worker at depth: 11
% 0.10/0.29 % SZS status Theorem for theBenchmark
% 0.10/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------