%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG070+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 : 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 03:02:48 PM UTC 2025
% Result : Theorem 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 45 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 16 ~; 13 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(89,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(instantiation,[status(thm)],[89]) ).
fof(mLETot,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETot) ).
cnf(34,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf,[status(esa)],[mLETot]) ).
cnf(l1,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[34]) ).
fof(mSumSc,plain,
! [W0,W1] :
( ( aScalar0(W0)
& aScalar0(W1) )
=> aScalar0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
cnf(8,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSumSc]) ).
cnf(l4,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtpldt0(xP,xP)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l9,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/sandbox/benchmark/theBenchmark.p',m__1892) ).
cnf(76,plain,
aScalar0(xR),
inference(cnf,[status(esa)],[m__1892]) ).
cnf(l20,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[76]) ).
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(l22,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[80]) ).
fof(m__1911,plain,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(78,plain,
aScalar0(xP),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l6,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
cnf(l10,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[78]) ).
fof(m__2590,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2590) ).
cnf(88,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf,[status(esa)],[m__2590]) ).
cnf(l8,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(instantiation,[status(thm)],[88]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l9,l20,l22,l6,l10,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG070+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Jul 21 17:49:19 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % launching worker at depth: 1
% 0.11/0.33 % launching worker at depth: 2
% 0.11/0.33 % launching worker at depth: 3
% 0.11/0.33 % launching worker at depth: 4
% 0.11/0.33 % launching worker at depth: 7
% 0.11/0.33 % launching worker at depth: 5
% 0.11/0.33 % launching worker at depth: 6
% 0.11/0.33 % launching worker at depth: 8
% 0.11/0.34 % launching worker at depth: 9
% 0.11/0.34 % launching worker at depth: 10
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------