%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG120+1 : 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 : n023.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 03:02:57 PM UTC 2025
% Result : Theorem 43.54s 5.85s
% Output : CNFRefutation 43.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 24 unt; 0 def)
% Number of atoms : 85 ( 14 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 70 ( 28 ~; 23 |; 10 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(120,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(instantiation,[status(thm)],[120]) ).
fof(mMulMnOne,plain,
! [W0] :
( aElement0(W0)
=> ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0)
& smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
cnf(17,plain,
( ~ aElement0(X0)
| sdtasdt0(smndt0(sz10),X0) = smndt0(X0) ),
inference(cnf,[status(esa)],[mMulMnOne]) ).
cnf(l2,plain,
( ~ aElement0(sdtasdt0(xq,xu))
| sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)) = smndt0(sdtasdt0(xq,xu)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(mDefIdeal,plain,
! [W0] :
( aIdeal0(W0)
<=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,W0)
=> aElementOf0(sdtpldt0(W1,W2),W0) )
& ! [W2] :
( aElement0(W2)
=> aElementOf0(sdtasdt0(W2,W1),W0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(50,plain,
( ~ aElement0(X0)
| ~ aIdeal0(X1)
| ~ aElementOf0(X2,X1)
| aElementOf0(sdtasdt0(X0,X2),X1) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
cnf(l3,plain,
( ~ aElement0(smndt0(sz10))
| ~ aIdeal0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aElementOf0(sdtasdt0(xq,xu),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| aElementOf0(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xu)),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(instantiation,[status(thm)],[50]) ).
fof(mEOfElem,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(23,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf,[status(esa)],[mEOfElem]) ).
cnf(l5,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| ~ aSet0(xI)
| aElement0(sdtasdt0(xq,xu)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(48,plain,
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefIdeal]) ).
cnf(l40,plain,
( ~ aIdeal0(xI)
| aSet0(xI) ),
inference(instantiation,[status(thm)],[48]) ).
fof(m__2174,plain,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
cnf(98,plain,
aIdeal0(xI),
inference(cnf,[status(esa)],[m__2174]) ).
cnf(l49,plain,
aIdeal0(xI),
inference(instantiation,[status(thm)],[98]) ).
cnf(l195,plain,
( ~ aElement0(xq)
| ~ aIdeal0(sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ~ aElementOf0(xu,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| aElementOf0(sdtasdt0(xq,xu),sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(instantiation,[status(thm)],[50]) ).
fof(m__2666,plain,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2666) ).
cnf(115,plain,
aElement0(xq),
inference(cnf,[status(esa)],[m__2666]) ).
cnf(l208,plain,
aElement0(xq),
inference(instantiation,[status(thm)],[115]) ).
fof(mSortsU,plain,
! [W0] :
( aElement0(W0)
=> aElement0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
cnf(2,plain,
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf,[status(esa)],[mSortsU]) ).
cnf(l6,plain,
( ~ aElement0(sz10)
| aElement0(smndt0(sz10)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l27,plain,
( ~ aElement0(xq)
| ~ aIdeal0(xI)
| ~ aElementOf0(xu,xI)
| aElementOf0(sdtasdt0(xq,xu),xI) ),
inference(instantiation,[status(thm)],[50]) ).
cnf(l44,plain,
aElement0(xq),
inference(instantiation,[status(thm)],[115]) ).
fof(m__2273,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( aElementOf0(W0,xI)
& W0 != sz00 )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
cnf(106,plain,
aElementOf0(xu,xI),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l406,plain,
aElementOf0(xu,xI),
inference(instantiation,[status(thm)],[106]) ).
fof(mSortsC_01,plain,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(1,plain,
aElement0(sz10),
inference(cnf,[status(esa)],[mSortsC_01]) ).
cnf(l25,plain,
aElement0(sz10),
inference(instantiation,[status(thm)],[1]) ).
cnf(l108,plain,
aElementOf0(xu,xI),
inference(instantiation,[status(thm)],[106]) ).
cnf(99,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2174]) ).
cnf(l415,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(instantiation,[status(thm)],[99]) ).
cnf(l115,plain,
aIdeal0(xI),
inference(instantiation,[status(thm)],[98]) ).
cnf(l209,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(instantiation,[status(thm)],[99]) ).
cnf(l30,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(instantiation,[status(thm)],[99]) ).
cnf(l262,plain,
aIdeal0(xI),
inference(instantiation,[status(thm)],[98]) ).
cnf(l32,plain,
aIdeal0(xI),
inference(instantiation,[status(thm)],[98]) ).
cnf(l48,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(instantiation,[status(thm)],[99]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l5,l40,l49,l195,l208,l6,l27,l44,l406,l25,l108,l415,l115,l209,l30,l262,l32,l48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG120+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 18:06:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 2.42/0.62 % launching worker at depth: 12
% 43.54/5.85 % SZS status Theorem for theBenchmark
% 43.54/5.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------