%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:01:28 AM UTC 2026
% Result : Theorem 12.86s 7.23s
% Output : CNFRefutation 12.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 71 ( 30 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 80 ( 35 ~; 10 |; 32 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 23 ( 2 sgn 7 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v600_v601,axiom,
less(v600,v601) ).
fof(distinct,axiom,
( v600 != v601
& v500 != v601
& v500 != v600
& v300 != v601
& v300 != v600
& v300 != v500
& v32 != v601
& v32 != v600
& v32 != v500
& v32 != v300
& v16 != v601
& v16 != v600
& v16 != v500
& v16 != v300
& v16 != v32
& v0 != v601
& v0 != v600
& v0 != v500
& v0 != v300
& v0 != v32
& v0 != v16 ) ).
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(in_closed,axiom,
! [X0,X1,X2] :
( 'in$uclosed'(X0,X1,X2)
<=> ( leq(X0,X2)
& leq(X1,X0) ) ) ).
fof(odrl411,conjecture,
~ ? [X0,X1,X2] :
( 'in$ulopen'(X2,v0,v32)
& leq(v16,X2)
& 'in$uopen'(X1,v0,v500)
& less(v300,X1)
& 'in$uclosed'(X0,v601,v601)
& 'in$uclosed'(X0,v600,v600) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( 'in$ulopen'(X2,v0,v32)
& leq(v16,X2)
& 'in$uopen'(X1,v0,v500)
& less(v300,X1)
& 'in$uclosed'(X0,v601,v601)
& 'in$uclosed'(X0,v600,v600) ),
inference(negate_conjecture,[status(cth)],[odrl411]) ).
cnf(c27,plain,
less(v600,v601),
inference(clausification,[status(esa)],[ord_v600_v601]) ).
cnf(c48,plain,
v600 != v601,
inference(clausification,[status(esa)],[distinct]) ).
cnf(c53,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c55,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c60,plain,
( leq(X1,X0)
| ~ 'in$uclosed'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_closed]) ).
cnf(c61,plain,
( leq(X0,X2)
| ~ 'in$uclosed'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_closed]) ).
cnf(c94,plain,
'in$uclosed'(sK60,v600,v600),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c95,plain,
'in$uclosed'(sK60,v601,v601),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v601,sK60),
inference(resolution,[status(thm)],[c60,c95]) ).
cnf(d1,plain,
( ~ leq(sK60,v601)
| sK60 = v601 ),
inference(resolution,[status(thm)],[d0,c55]) ).
cnf(d2,plain,
leq(sK60,v601),
inference(resolution,[status(thm)],[c61,c95]) ).
cnf(d3,plain,
sK60 = v601,
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
leq(sK60,v600),
inference(resolution,[status(thm)],[c61,c94]) ).
cnf(d5,plain,
( ~ leq(v600,sK60)
| v600 = sK60 ),
inference(resolution,[status(thm)],[d4,c55]) ).
cnf(d6,plain,
( ~ leq(v600,sK60)
| v600 = v601 ),
inference(demodulation,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( ~ leq(v600,v601)
| v600 = v601 ),
inference(demodulation,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
~ leq(v600,v601),
inference(resolution,[status(thm)],[c48,d7]) ).
cnf(d9,plain,
leq(v600,v601),
inference(resolution,[status(thm)],[c53,c27]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n006.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Sat Sep 26 00:12:02 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.86/7.23 % SZS status Theorem for theBenchmark.p
% 12.86/7.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------