%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 13.33s 12.56s
% Output : CNFRefutation 13.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 54 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 17 ~; 13 |; 6 &)
% ( 2 <=>; 3 =>; 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 35 ( 2 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(order_5_10,hypothesis,
less(n5,n10) ).
fof(irreflexive,axiom,
! [X0] : ~ less(X0,X0) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(leq_antisym,axiom,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ).
fof(less_leq_trans,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& less(X0,X1) )
=> less(X0,X2) ) ).
fof(leq_trans,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ).
fof(in_closed,axiom,
! [X0,X1,X2] :
( 'in$uclosed'(X0,X1,X2)
<=> ( leq(X0,X2)
& leq(X1,X0) ) ) ).
fof(no_false_conflict,conjecture,
~ ? [X0] :
( 'in$uclosed'(X0,n10,n15)
& 'in$uclosed'(X0,n0,n5) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
( 'in$uclosed'(X0,n10,n15)
& 'in$uclosed'(X0,n0,n5) ),
inference(negate_conjecture,[status(cth)],[no_false_conflict]) ).
cnf(c1,plain,
less(n5,n10),
inference(clausification,[status(esa)],[order_5_10]) ).
cnf(c4,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c8,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c10,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c13,plain,
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_leq_trans]) ).
cnf(c14,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_trans]) ).
cnf(c15,plain,
( leq(X1,X0)
| ~ 'in$uclosed'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_closed]) ).
cnf(c16,plain,
( leq(X0,X2)
| ~ 'in$uclosed'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_closed]) ).
cnf(c76,plain,
'in$uclosed'(sK105,n0,n5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c77,plain,
'in$uclosed'(sK105,n10,n15),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(sK105,n5),
inference(resolution,[status(thm)],[c16,c76]) ).
cnf(d1,plain,
( ~ leq(n5,sK105)
| n5 = sK105 ),
inference(resolution,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
leq(n5,n10),
inference(resolution,[status(thm)],[c8,c1]) ).
cnf(d3,plain,
leq(n10,sK105),
inference(resolution,[status(thm)],[c15,c77]) ).
cnf(d4,plain,
( ~ leq(X0,n10)
| leq(X0,sK105) ),
inference(resolution,[status(thm)],[d3,c14]) ).
cnf(d5,plain,
leq(n5,sK105),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
n5 = sK105,
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ less(X0,n10)
| less(X0,sK105) ),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d8,plain,
less(n5,sK105),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
less(n5,n5),
inference(demodulation,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c4,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT071+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/10.81 % Computer : n010.cluster.edu
% 0.17/10.81 % Model : x86_64 x86_64
% 0.17/10.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.81 % Memory : 8046.5625MB
% 0.17/10.81 % OS : Linux 6.8.0-71-generic
% 0.17/10.81 % CPULimit : 300
% 0.17/10.81 % WCLimit : 300
% 0.17/10.81 % DateTime : Sat Sep 26 00:11:55 UTC 2026
% 0.17/10.81 % CPUTime :
% 0.17/10.81 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.33/12.56 % SZS status Theorem for theBenchmark.p
% 13.33/12.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------