%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 : Sun Sep 27 08:01:29 AM UTC 2026
% Result : Theorem 13.00s 2.75s
% Output : CNFRefutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 15 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(prec_oo,axiom,
! [X0,X1] :
( prec(X0,X1,o,o)
<=> leq(X0,X1) ) ).
fof(odrl604,conjecture,
prec(v5,v5,o,o) ).
fof(negated_conjecture,negated_conjecture,
~ prec(v5,v5,o,o),
inference(negate_conjecture,[status(cth)],[odrl604]) ).
cnf(c6,plain,
( X0 != X1
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c57,plain,
( ~ leq(X0,X1)
| prec(X0,X1,o,o) ),
inference(clausification,[status(esa)],[prec_oo]) ).
cnf(c71,plain,
~ prec(v5,v5,o,o),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ leq(v5,v5),
inference(resolution,[status(thm)],[c57,c71]) ).
cnf(d1,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c6]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT089+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 00:14:08 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.00/2.75 % SZS status Theorem for theBenchmark.p
% 13.00/2.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------