%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG114+4 : 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 : 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 03:02:56 PM UTC 2025
% Result : Theorem 277.13s 35.20s
% Output : CNFRefutation 277.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 29 unt; 0 def)
% Number of atoms : 131 ( 34 equ)
% Maximal formula atoms : 23 ( 2 avg)
% Number of connectives : 120 ( 40 ~; 39 |; 34 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 9 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0,W1] :
( aElement0(W0)
& aElement0(W1)
& xu = sdtpldt0(sdtasdt0(xa,W0),sdtasdt0(xb,W1)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(168,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sK23(xa,slsdtgt0(xa),sK50))
| ~ aElement0(sK23(xb,slsdtgt0(xb),sK51))
| xu != sdtpldt0(sdtasdt0(xa,sK23(xa,slsdtgt0(xa),sK50)),sdtasdt0(xb,sK23(xb,slsdtgt0(xb),sK51))) ),
inference(instantiation,[status(thm)],[168]) ).
fof(m__2273,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [W0] :
( ( ( ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 )
| aElementOf0(W0,xI) )
& W0 != sz00 )
=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
cnf(157,plain,
sdtpldt0(sK50,sK51) = xu,
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l27,plain,
sdtpldt0(sK50,sK51) = xu,
inference(instantiation,[status(thm)],[157]) ).
fof(mDefPrIdeal,plain,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( W1 = slsdtgt0(W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( aElement0(W3)
& sdtasdt0(W0,W3) = W2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
cnf(85,plain,
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| ~ aElementOf0(X2,X1)
| aElement0(sK23(X0,X1,X2)) ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
cnf(l1,plain,
( ~ aElement0(xb)
| slsdtgt0(xb) != slsdtgt0(xb)
| ~ aElementOf0(sK51,slsdtgt0(xb))
| aElement0(sK23(xb,slsdtgt0(xb),sK51)) ),
inference(instantiation,[status(thm)],[85]) ).
cnf(86,plain,
( ~ aElement0(X0)
| X1 != slsdtgt0(X0)
| ~ aElementOf0(X2,X1)
| sdtasdt0(X0,sK23(X0,X1,X2)) = X2 ),
inference(cnf,[status(esa)],[mDefPrIdeal]) ).
cnf(l203,plain,
( ~ aElement0(xb)
| slsdtgt0(xb) != slsdtgt0(xb)
| ~ aElementOf0(sK51,slsdtgt0(xb))
| sdtasdt0(xb,sK23(xb,slsdtgt0(xb),sK51)) = sK51 ),
inference(instantiation,[status(thm)],[86]) ).
cnf(l52,plain,
( ~ aElement0(xa)
| slsdtgt0(xa) != slsdtgt0(xa)
| ~ aElementOf0(sK50,slsdtgt0(xa))
| sdtasdt0(xa,sK23(xa,slsdtgt0(xa),sK50)) = sK50 ),
inference(instantiation,[status(thm)],[86]) ).
cnf(156,plain,
aElementOf0(sK51,slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l261,plain,
aElementOf0(sK51,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[156]) ).
fof(m__2091,plain,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
cnf(94,plain,
aElement0(xa),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l114,plain,
aElement0(xa),
inference(instantiation,[status(thm)],[94]) ).
cnf(95,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l212,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(l2,plain,
( ~ aElement0(xa)
| slsdtgt0(xa) != slsdtgt0(xa)
| ~ aElementOf0(sK50,slsdtgt0(xa))
| aElement0(sK23(xa,slsdtgt0(xa),sK50)) ),
inference(instantiation,[status(thm)],[85]) ).
cnf(l1212,plain,
aElementOf0(sK51,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[156]) ).
fof(m__2129,plain,
( aElement0(xc)
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xa )
& doDivides0(xc,xa)
& aDivisorOf0(xc,xa)
& aElement0(xc)
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xc,W0) = xb )
& doDivides0(xc,xb)
& aDivisorOf0(xc,xb)
& ! [W0] :
( ( ( ( aElement0(W0)
& ( ? [W1] :
( aElement0(W1)
& sdtasdt0(W0,W1) = xa )
| doDivides0(W0,xa) ) )
| aDivisorOf0(W0,xa) )
& ( ? [W1] :
( aElement0(W1)
& sdtasdt0(W0,W1) = xb )
| doDivides0(W0,xb)
| aDivisorOf0(W0,xb) ) )
=> ( ? [W1] :
( aElement0(W1)
& sdtasdt0(W0,W1) = xc )
& doDivides0(W0,xc) ) )
& aGcdOfAnd0(xc,xa,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2129) ).
cnf(99,plain,
sdtasdt0(xc,sK28) = xa,
inference(cnf,[status(esa)],[m__2129]) ).
cnf(l966,plain,
sdtasdt0(xc,sK28) = xa,
inference(instantiation,[status(thm)],[99]) ).
cnf(155,plain,
aElementOf0(sK50,slsdtgt0(xa)),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l24,plain,
aElementOf0(sK50,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[155]) ).
cnf(l244,plain,
aElementOf0(sK50,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[155]) ).
fof(mMulComm,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
cnf(11,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf,[status(esa)],[mMulComm]) ).
cnf(l95,plain,
( ~ aElement0(sK28)
| ~ aElement0(xc)
| sdtasdt0(sK28,xc) = sdtasdt0(xc,sK28) ),
inference(instantiation,[status(thm)],[11]) ).
fof(mSortsB_02,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(4,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
cnf(l938,plain,
( ~ aElement0(sK28)
| ~ aElement0(xc)
| aElement0(sdtasdt0(sK28,xc)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(97,plain,
aElement0(xc),
inference(cnf,[status(esa)],[m__2129]) ).
cnf(l965,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[97]) ).
cnf(98,plain,
aElement0(sK28),
inference(cnf,[status(esa)],[m__2129]) ).
cnf(l993,plain,
aElement0(sK28),
inference(instantiation,[status(thm)],[98]) ).
cnf(l944,plain,
aElement0(sK28),
inference(instantiation,[status(thm)],[98]) ).
cnf(l940,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[97]) ).
cnf(104,plain,
sdtasdt0(xc,sK29) = xb,
inference(cnf,[status(esa)],[m__2129]) ).
cnf(l59,plain,
sdtasdt0(xc,sK29) = xb,
inference(instantiation,[status(thm)],[104]) ).
cnf(l77,plain,
( ~ aElement0(sK29)
| ~ aElement0(xc)
| sdtasdt0(sK29,xc) = sdtasdt0(xc,sK29) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(102,plain,
aElement0(xc),
inference(cnf,[status(esa)],[m__2129]) ).
cnf(l210,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[102]) ).
cnf(103,plain,
aElement0(sK29),
inference(cnf,[status(esa)],[m__2129]) ).
cnf(l197,plain,
aElement0(sK29),
inference(instantiation,[status(thm)],[103]) ).
cnf(l98,plain,
( ~ aElement0(sK29)
| ~ aElement0(xc)
| aElement0(sdtasdt0(sK29,xc)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l214,plain,
aElement0(sK29),
inference(instantiation,[status(thm)],[103]) ).
cnf(l307,plain,
aElement0(xc),
inference(instantiation,[status(thm)],[97]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l27,l1,l203,l52,l261,l114,l212,l2,l1212,l966,l24,l244,l95,l938,l965,l993,l944,l940,l59,l77,l210,l197,l98,l214,l307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG114+4 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 18:04:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.20/0.44 % launching worker at depth: 11
% 8.25/1.38 % launching worker at depth: 12
% 277.13/35.20 % SZS status Theorem for theBenchmark
% 277.13/35.20 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------