%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT073+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 : n008.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 08:01:27 AM UTC 2026
% Result : Theorem 12.30s 7.09s
% Output : CNFRefutation 12.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 20 ~; 15 |; 4 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(order_0_5,hypothesis,
less(n0,n5) ).
fof(order_5_10,hypothesis,
less(n5,n10) ).
fof(transitive,axiom,
! [X0,X1,X2] :
( ( less(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(in_closed,axiom,
! [X0,X1,X2] :
( 'in$uclosed'(X0,X1,X2)
<=> ( leq(X0,X2)
& leq(X1,X0) ) ) ).
fof(no_false_compatible,conjecture,
? [X0] :
( 'in$uclosed'(X0,n5,n10)
& 'in$uclosed'(X0,n0,n10) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'in$uclosed'(X0,n5,n10)
& 'in$uclosed'(X0,n0,n10) ),
inference(negate_conjecture,[status(cth)],[no_false_compatible]) ).
cnf(c0,plain,
less(n0,n5),
inference(clausification,[status(esa)],[order_0_5]) ).
cnf(c1,plain,
less(n5,n10),
inference(clausification,[status(esa)],[order_5_10]) ).
cnf(c4,plain,
( less(X0,X2)
| ~ less(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[transitive]) ).
cnf(c7,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c8,plain,
( X0 != X1
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c16,plain,
( ~ leq(X0,X2)
| ~ leq(X1,X0)
| 'in$uclosed'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_closed]) ).
cnf(c75,plain,
( ~ 'in$uclosed'(X0,n5,n10)
| ~ 'in$uclosed'(X0,n0,n10) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(n5,n10),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d1,plain,
( ~ 'in$uclosed'(X0,n0,n10)
| ~ leq(n5,X0)
| ~ leq(X0,n10) ),
inference(resolution,[status(thm)],[c16,c75]) ).
cnf(d2,plain,
( ~ leq(n0,X0)
| ~ leq(X0,n10)
| ~ leq(n5,X0)
| ~ leq(X0,n10) ),
inference(resolution,[status(thm)],[d1,c16]) ).
cnf(d3,plain,
( ~ leq(n0,n10)
| ~ leq(n10,n10) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c8]) ).
cnf(d5,plain,
~ leq(n0,n10),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ less(X0,n5)
| less(X0,n10) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d7,plain,
less(n0,n10),
inference(resolution,[status(thm)],[d6,c0]) ).
cnf(d8,plain,
leq(n0,n10),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT073+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
% 0.08/5.37 % Computer : n008.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sat Sep 26 00:12:17 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.30/7.09 % SZS status Theorem for theBenchmark.p
% 12.30/7.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------