%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG065+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 03:02:47 PM UTC 2025
% Result : Theorem 7.92s 1.35s
% Output : CNFRefutation 7.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 41 unt; 0 def)
% Number of atoms : 127 ( 13 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 110 ( 47 ~; 44 |; 13 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(99,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(instantiation,[status(thm)],[99]) ).
fof(mLETrn,plain,
! [W0,W1,W2] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETrn) ).
cnf(31,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf,[status(esa)],[mLETrn]) ).
cnf(l1,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xR,xS)))
| ~ aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xR,xS)))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[31]) ).
fof(mLEMon,plain,
! [W0,W1,W2,W3] :
( ( aScalar0(W0)
& aScalar0(W1)
& aScalar0(W2)
& aScalar0(W3) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W2,W3) )
=> sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMon) ).
cnf(32,plain,
( ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf,[status(esa)],[mLEMon]) ).
cnf(l3,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xR,xS))
| ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(xR,xS))
| ~ sdtlseqdt0(sdtasdt0(xP,xP),sdtasdt0(xR,xS))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xR,xS),sdtasdt0(xR,xS))) ),
inference(instantiation,[status(thm)],[32]) ).
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(l10,plain,
( ~ aScalar0(sdtasdt0(xR,xR))
| ~ aScalar0(sdtasdt0(xS,xS))
| aScalar0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))) ),
inference(instantiation,[status(thm)],[8]) ).
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(l213,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l34,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xR)
| aScalar0(sdtasdt0(xR,xR)) ),
inference(instantiation,[status(thm)],[9]) ).
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(l35,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
cnf(l18,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l24,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(84,plain,
aScalar0(xS),
inference(cnf,[status(esa)],[m__1930]) ).
cnf(l44,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
fof(m__1911,plain,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(82,plain,
aScalar0(xP),
inference(cnf,[status(esa)],[m__1911]) ).
cnf(l216,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l4,plain,
( ~ aScalar0(sdtasdt0(xP,xP))
| ~ aScalar0(sdtasdt0(xP,xP))
| aScalar0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l32,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l38,plain,
aScalar0(xS),
inference(instantiation,[status(thm)],[84]) ).
cnf(l16,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l224,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l6,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| aScalar0(sdtasdt0(xP,xP)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l43,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
fof(m__2004,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2004) ).
cnf(89,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(cnf,[status(esa)],[m__2004]) ).
cnf(l235,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(instantiation,[status(thm)],[89]) ).
cnf(l39,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l36,plain,
aScalar0(xR),
inference(instantiation,[status(thm)],[80]) ).
fof(m__2348,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2348) ).
cnf(98,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(cnf,[status(esa)],[m__2348]) ).
cnf(l42,plain,
sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
inference(instantiation,[status(thm)],[98]) ).
fof(m__1949,plain,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
cnf(87,plain,
xN = sdtasdt0(xR,xS),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l58,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l61,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l229,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l251,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l232,plain,
sdtlseqdt0(sdtasdt0(xP,xP),xN),
inference(instantiation,[status(thm)],[89]) ).
cnf(l23,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l57,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l25,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(l15,plain,
aScalar0(xP),
inference(instantiation,[status(thm)],[82]) ).
cnf(86,plain,
aScalar0(xN),
inference(cnf,[status(esa)],[m__1949]) ).
cnf(l56,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(l37,plain,
( ~ aScalar0(xN)
| ~ aScalar0(xN)
| aScalar0(sdtpldt0(xN,xN)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l47,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l60,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(l210,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l48,plain,
xN = sdtasdt0(xR,xS),
inference(instantiation,[status(thm)],[87]) ).
cnf(l55,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(l208,plain,
aScalar0(xN),
inference(instantiation,[status(thm)],[86]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l10,l213,l34,l35,l18,l24,l44,l216,l4,l32,l38,l16,l224,l6,l43,l235,l39,l36,l42,l58,l61,l229,l251,l232,l23,l57,l25,l15,l56,l37,l47,l60,l210,l48,l55,l208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG065+2 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 17:47:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 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: 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
% 0.12/0.38 % launching worker at depth: 11
% 7.92/1.35 % SZS status Theorem for theBenchmark
% 7.92/1.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------