%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:11:33 AM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 18 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(odrl604,plain,
prec(v5,v5,o,o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',odrl604) ).
fof(odrl604_negated,plain,
~ prec(v5,v5,o,o),
inference(negate_conjecture,[status(cth)],[odrl604]) ).
cnf(71,plain,
~ prec(v5,v5,o,o),
inference(cnf,[status(esa)],[odrl604_negated]) ).
cnf(l0,plain,
~ prec(v5,v5,o,o),
inference(instantiation,[status(thm)],[71]) ).
fof(prec_oo,plain,
! [U,L] :
( prec(U,L,o,o)
<=> leq(U,L) ),
file('Axioms/MGT002+5.ax',prec_oo) ).
cnf(56,plain,
( ~ leq(X0,X1)
| prec(X0,X1,o,o) ),
inference(cnf,[status(esa)],[prec_oo]) ).
cnf(l1,plain,
( ~ leq(v5,v5)
| prec(v5,v5,o,o) ),
inference(instantiation,[status(thm)],[56]) ).
fof(leq_def,plain,
! [X,Y] :
( leq(X,Y)
<=> ( less(X,Y)
| X = Y ) ),
file('Axioms/MGT002+0.ax',leq_def) ).
cnf(5,plain,
( X0 != X1
| leq(X0,X1) ),
inference(cnf,[status(esa)],[leq_def]) ).
cnf(l2,plain,
( v5 != v5
| leq(v5,v5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT089+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 14:00:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % launching worker at depth: 1
% 0.10/0.38 % launching worker at depth: 2
% 0.10/0.38 % launching worker at depth: 7
% 0.10/0.38 % launching worker at depth: 4
% 0.10/0.38 % launching worker at depth: 5
% 0.10/0.38 % launching worker at depth: 6
% 0.10/0.38 % launching worker at depth: 3
% 0.10/0.38 % launching worker at depth: 8
% 0.10/0.38 % launching worker at depth: 9
% 0.10/0.38 % launching worker at depth: 10
% 0.10/0.39 % SZS status Theorem for theBenchmark
% 0.10/0.39 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------