%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG059+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 : n029.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 03:02:45 PM UTC 2025
% Result : Theorem 6.01s 1.17s
% Output : CNFRefutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 18 unt; 0 def)
% Number of atoms : 69 ( 22 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 54 ( 19 ~; 16 |; 14 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(90,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
inference(instantiation,[status(thm)],[90]) ).
fof(m__1949,plain,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
cnf(87,plain,
xN = sdtasdt0(xR,xS),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l59,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
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(22,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf,[status(esa)],[mArith]) ).
cnf(l68,plain,
( ~ aScalar0(smndt0(xS))
| ~ aScalar0(xR)
| ~ aScalar0(sdtlbdtrb0(xq,sz00))
| sdtasdt0(smndt0(xS),xR) = sdtasdt0(xR,smndt0(xS)) ),
inference(instantiation,[status(thm)],[22]) ).
fof(mElmSc,plain,
! [W0,W1] :
( ( aVector0(W0)
& aNaturalNumber0(W1) )
=> aScalar0(sdtlbdtrb0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
cnf(40,plain,
( ~ aNaturalNumber0(X0)
| ~ aVector0(X1)
| aScalar0(sdtlbdtrb0(X1,X0)) ),
inference(cnf,[status(esa)],[mElmSc]) ).
cnf(l87,plain,
( ~ aNaturalNumber0(sz00)
| ~ aVector0(xq)
| aScalar0(sdtlbdtrb0(xq,sz00)) ),
inference(instantiation,[status(thm)],[40]) ).
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(l256,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
fof(m__1726,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [W0] :
( aNaturalNumber0(W0)
=> sdtlbdtrb0(xq,W0) = sdtlbdtrb0(xt,W0) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
cnf(60,plain,
aVector0(xq),
inference(cnf,[status(esa)],[m__1726]) ).
cnf(l278,plain,
aVector0(xq),
inference(instantiation,[status(thm)],[60]) ).
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(l104,plain,
( ~ aScalar0(xS)
| aScalar0(smndt0(xS)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(mZeroNat,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
cnf(0,plain,
aNaturalNumber0(sz00),
inference(cnf,[status(esa)],[mZeroNat]) ).
cnf(l285,plain,
aNaturalNumber0(sz00),
inference(instantiation,[status(thm)],[0]) ).
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(l266,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
fof(mMNeg,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtasdt0(W0,smndt0(W1)) = smndt0(sdtasdt0(W0,W1))
& sdtasdt0(smndt0(W0),W1) = smndt0(sdtasdt0(W0,W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
cnf(26,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mMNeg]) ).
cnf(l79,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| sdtasdt0(xR,smndt0(xS)) = smndt0(sdtasdt0(xR,xS)) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l149,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l119,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l59,l68,l87,l256,l278,l104,l285,l266,l79,l149,l119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG059+2 : TPTP v9.0.0. Released v4.0.0.
% 0.10/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 17:45:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 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
% 0.19/0.56 % launching worker at depth: 12
% 6.01/1.17 % SZS status Theorem for theBenchmark
% 6.01/1.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------