%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG115+4 : 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 03:02:56 PM UTC 2025
% Result : Theorem 0.14s 0.33s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 71 ( 22 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 69 ( 18 ~; 17 |; 27 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn 7 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0,W1] :
( ( ? [W2] :
( aElement0(W2)
& sdtasdt0(xa,W2) = W0 )
| aElementOf0(W0,slsdtgt0(xa)) )
& ( ? [W2] :
( aElement0(W2)
& sdtasdt0(xb,W2) = W1 )
| aElementOf0(W1,slsdtgt0(xb)) )
& xu = sdtpldt0(W0,W1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0,W1] :
( ( ? [W2] :
( aElement0(W2)
& sdtasdt0(xa,W2) = W0 )
| aElementOf0(W0,slsdtgt0(xa)) )
& ( ? [W2] :
( aElement0(W2)
& sdtasdt0(xb,W2) = W1 )
| aElementOf0(W1,slsdtgt0(xb)) )
& xu = sdtpldt0(W0,W1) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(168,plain,
( ~ aElement0(X0)
| sdtasdt0(xa,X0) != X1
| xu != sdtpldt0(X1,X2)
| sP9(X2,X3) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElement0(sK31(sK50))
| sdtasdt0(xa,sK31(sK50)) != sK50
| xu != sdtpldt0(sK50,sK51)
| sP9(sK51,X1_2) ),
inference(instantiation,[status(thm)],[168]) ).
fof(m__2174,plain,
( aSet0(xI)
& ! [W0] :
( aElementOf0(W0,xI)
=> ( ! [W1] :
( aElementOf0(W1,xI)
=> aElementOf0(sdtpldt0(W0,W1),xI) )
& ! [W1] :
( aElement0(W1)
=> aElementOf0(sdtasdt0(W1,W0),xI) ) ) )
& aIdeal0(xI)
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xa))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xa,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,slsdtgt0(xb))
<=> ? [W1] :
( aElement0(W1)
& sdtasdt0(xb,W1) = W0 ) )
& ! [W0] :
( aElementOf0(W0,xI)
<=> ? [W1,W2] :
( aElementOf0(W1,slsdtgt0(xa))
& aElementOf0(W2,slsdtgt0(xb))
& sdtpldt0(W1,W2) = W0 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
cnf(122,plain,
( ~ aElementOf0(X0,slsdtgt0(xa))
| sdtasdt0(xa,sK31(X0)) = X0 ),
inference(cnf,[status(esa)],[m__2174]) ).
cnf(l1,plain,
( ~ aElementOf0(sK50,slsdtgt0(xa))
| sdtasdt0(xa,sK31(sK50)) = sK50 ),
inference(instantiation,[status(thm)],[122]) ).
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/sandbox/benchmark/theBenchmark.p',m__2273) ).
cnf(157,plain,
sdtpldt0(sK50,sK51) = xu,
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l12,plain,
sdtpldt0(sK50,sK51) = xu,
inference(instantiation,[status(thm)],[157]) ).
cnf(170,plain,
( ~ aElementOf0(X0,slsdtgt0(xb))
| ~ sP9(X0,X1) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l2,plain,
( ~ aElementOf0(sK51,slsdtgt0(xb))
| ~ sP9(sK51,X1_2) ),
inference(instantiation,[status(thm)],[170]) ).
cnf(121,plain,
( ~ aElementOf0(X0,slsdtgt0(xa))
| aElement0(sK31(X0)) ),
inference(cnf,[status(esa)],[m__2174]) ).
cnf(l3,plain,
( ~ aElementOf0(sK50,slsdtgt0(xa))
| aElement0(sK31(sK50)) ),
inference(instantiation,[status(thm)],[121]) ).
cnf(155,plain,
aElementOf0(sK50,slsdtgt0(xa)),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l8,plain,
aElementOf0(sK50,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[155]) ).
cnf(156,plain,
aElementOf0(sK51,slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l7,plain,
aElementOf0(sK51,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[156]) ).
cnf(l6,plain,
aElementOf0(sK50,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[155]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l2,l3,l8,l7,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : RNG115+4 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n027.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Jul 21 18:04:34 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % launching worker at depth: 1
% 0.08/0.30 % launching worker at depth: 3
% 0.08/0.30 % launching worker at depth: 4
% 0.08/0.30 % launching worker at depth: 2
% 0.08/0.30 % launching worker at depth: 5
% 0.08/0.30 % launching worker at depth: 6
% 0.08/0.30 % launching worker at depth: 7
% 0.08/0.30 % launching worker at depth: 8
% 0.08/0.30 % launching worker at depth: 9
% 0.14/0.33 % SZS status Theorem for theBenchmark
% 0.14/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------