%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : RNG125+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 0.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 31 ( 8 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 10 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 4 sgn 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2479,plain,
~ ~ ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xu,W0) = xa )
& doDivides0(xu,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2479) ).
cnf(171,plain,
aElement0(sK54),
inference(cnf,[status(esa)],[m__2479]) ).
cnf(l0,plain,
aElement0(sK54),
inference(instantiation,[status(thm)],[171]) ).
fof(m__2383,plain,
~ ( ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xu,W0) = xa )
| doDivides0(xu,xa)
| aDivisorOf0(xu,xa) )
& ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xu,W0) = xb )
| doDivides0(xu,xb)
| aDivisorOf0(xu,xb) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2383) ).
cnf(162,plain,
( ~ aElement0(X0)
| sdtasdt0(xu,X0) != xa
| sP8(X1) ),
inference(cnf,[status(esa)],[m__2383]) ).
cnf(l1,plain,
( ~ aElement0(sK54)
| sdtasdt0(xu,sK54) != xa
| sP8(X0_4) ),
inference(instantiation,[status(thm)],[162]) ).
cnf(166,plain,
( ~ doDivides0(xu,xb)
| ~ sP8(X0) ),
inference(cnf,[status(esa)],[m__2383]) ).
cnf(l4,plain,
( ~ doDivides0(xu,xb)
| ~ sP8(X0_4) ),
inference(instantiation,[status(thm)],[166]) ).
fof(m__2612,plain,
~ ~ ( ? [W0] :
( aElement0(W0)
& sdtasdt0(xu,W0) = xb )
& doDivides0(xu,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2612) ).
cnf(176,plain,
doDivides0(xu,xb),
inference(cnf,[status(esa)],[m__2612]) ).
cnf(l10,plain,
doDivides0(xu,xb),
inference(instantiation,[status(thm)],[176]) ).
cnf(172,plain,
sdtasdt0(xu,sK54) = xa,
inference(cnf,[status(esa)],[m__2479]) ).
cnf(l5,plain,
sdtasdt0(xu,sK54) = xa,
inference(instantiation,[status(thm)],[172]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l10,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG125+4 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % 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 18:08:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------