%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG124+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 : n022.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 03:02:58 PM UTC 2025
% Result : Theorem 0.18s 0.55s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 45 ( 19 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 42 ( 15 ~; 12 |; 14 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 1 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(179,plain,
( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(cnf,[status(esa)],[m__2666]) ).
cnf(l0,plain,
( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
inference(instantiation,[status(thm)],[179]) ).
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(160,plain,
( sdtpldt0(X0,X1) != X2
| ~ aElementOf0(X0,slsdtgt0(xa))
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(xu))
| X2 = sz00 ),
inference(cnf,[status(esa)],[m__2273]) ).
cnf(l15,plain,
( sdtpldt0(sK61,sK62) != xr
| ~ aElementOf0(sK61,slsdtgt0(xa))
| ~ aElementOf0(sK62,slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(xr),sbrdtbr0(xu))
| xr = sz00 ),
inference(instantiation,[status(thm)],[160]) ).
fof(m__2729,plain,
( ? [W0,W1] :
( aElementOf0(W0,slsdtgt0(xa))
& aElementOf0(W1,slsdtgt0(xb))
& sdtpldt0(W0,W1) = xr )
& aElementOf0(xr,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2729) ).
cnf(195,plain,
sdtpldt0(sK61,sK62) = xr,
inference(cnf,[status(esa)],[m__2729]) ).
cnf(l16,plain,
sdtpldt0(sK61,sK62) = xr,
inference(instantiation,[status(thm)],[195]) ).
fof(m__2673,plain,
xr != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2673) ).
cnf(180,plain,
xr != sz00,
inference(cnf,[status(esa)],[m__2673]) ).
cnf(l20,plain,
xr != sz00,
inference(instantiation,[status(thm)],[180]) ).
cnf(194,plain,
aElementOf0(sK62,slsdtgt0(xb)),
inference(cnf,[status(esa)],[m__2729]) ).
cnf(l17,plain,
aElementOf0(sK62,slsdtgt0(xb)),
inference(instantiation,[status(thm)],[194]) ).
cnf(193,plain,
aElementOf0(sK61,slsdtgt0(xa)),
inference(cnf,[status(esa)],[m__2729]) ).
cnf(l19,plain,
aElementOf0(sK61,slsdtgt0(xa)),
inference(instantiation,[status(thm)],[193]) ).
cnf(l1,plain,
xr != sz00,
inference(instantiation,[status(thm)],[180]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l15,l16,l20,l17,l19,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG124+4 : 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
% 0.12/0.33 % Computer : n022.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 18:09:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 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: 4
% 0.12/0.34 % launching worker at depth: 5
% 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: 8
% 0.12/0.36 % launching worker at depth: 9
% 0.18/0.55 % SZS status Theorem for theBenchmark
% 0.18/0.55 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------