%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG121+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 : n017.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 6.49s 1.21s
% Output : CNFRefutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 61 ( 17 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 51 ( 13 ~; 14 |; 22 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 3 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xb )
| ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xb )
| aElementOf0(xb,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xb )
| ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xb )
| aElementOf0(xb,xI) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(185,plain,
( sdtpldt0(X0,X1) != xb
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( sdtpldt0(sz00,xb) != xb
| ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xb,slsdtgt0(xb)) ),
inference(instantiation,[status(thm)],[185]) ).
fof(m__2203,plain,
( ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = sz00 )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xa,W0) = xa )
& aElementOf0(xa,slsdtgt0(xa))
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = sz00 )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [W0] :
( aElement0(W0)
& sdtasdt0(xb,W0) = xb )
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
cnf(134,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf,[status(esa)],[m__2203]) ).
cnf(l1,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[134]) ).
fof(mAddComm,plain,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
cnf(5,plain,
( ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf,[status(esa)],[mAddComm]) ).
cnf(l6,plain,
( ~ aElement0(sz00)
| ~ aElement0(xb)
| sdtpldt0(sz00,xb) = sdtpldt0(xb,sz00) ),
inference(instantiation,[status(thm)],[5]) ).
fof(mSortsC,plain,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(0,plain,
aElement0(sz00),
inference(cnf,[status(esa)],[mSortsC]) ).
cnf(l14,plain,
aElement0(sz00),
inference(instantiation,[status(thm)],[0]) ).
fof(mAddZero,plain,
! [W0] :
( aElement0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(7,plain,
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf,[status(esa)],[mAddZero]) ).
cnf(l86,plain,
( ~ aElement0(xb)
| sdtpldt0(xb,sz00) = xb ),
inference(instantiation,[status(thm)],[7]) ).
cnf(143,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2203]) ).
cnf(l11,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[143]) ).
fof(m__2091,plain,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
cnf(95,plain,
aElement0(xb),
inference(cnf,[status(esa)],[m__2091]) ).
cnf(l87,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(l10,plain,
aElement0(xb),
inference(instantiation,[status(thm)],[95]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l14,l86,l11,l87,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG121+4 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 18:08:04 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: 6
% 0.12/0.34 % launching worker at depth: 7
% 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: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.38 % launching worker at depth: 10
% 6.49/1.21 % SZS status Theorem for theBenchmark
% 6.49/1.21 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------