%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 17.85s 6.17s
% Output : CNFRefutation 17.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 20 unt; 0 def)
% Number of atoms : 94 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 17 ~; 35 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 31 ( 1 sgn 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v50_v100,axiom,
less(v50,v100) ).
fof(ord_v100_v200,axiom,
less(v100,v200) ).
fof(ord_v200_v400,axiom,
less(v200,v400) ).
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(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl445,conjecture,
~ ? [X0,X1,X2] :
( leq(v100,X2)
& leq(v200,X1)
& leq(v400,X0)
& ( 'in$ulopen'(X2,v0,v50)
| 'in$ulopen'(X1,v0,v100)
| 'in$ulopen'(X0,v0,v200) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0,X1,X2] :
( leq(v100,X2)
& leq(v200,X1)
& leq(v400,X0)
& ( 'in$ulopen'(X2,v0,v50)
| 'in$ulopen'(X1,v0,v100)
| 'in$ulopen'(X0,v0,v200) ) ),
inference(negate_conjecture,[status(cth)],[odrl445]) ).
cnf(c9,plain,
less(v50,v100),
inference(clausification,[status(esa)],[ord_v50_v100]) ).
cnf(c12,plain,
less(v100,v200),
inference(clausification,[status(esa)],[ord_v100_v200]) ).
cnf(c14,plain,
less(v200,v400),
inference(clausification,[status(esa)],[ord_v200_v400]) ).
cnf(c25,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c29,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c31,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c34,plain,
( less(X0,X2)
| ~ leq(X1,X2)
| ~ less(X0,X1) ),
inference(clausification,[status(esa)],[less_leq_trans]) ).
cnf(c40,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c70,plain,
( 'in$ulopen'(sK62,v0,v50)
| 'in$ulopen'(sK61,v0,v100)
| 'in$ulopen'(sK60,v0,v200) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
leq(v400,sK60),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c72,plain,
leq(v200,sK61),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c73,plain,
leq(v100,sK62),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ less(X0,v400)
| less(X0,sK60) ),
inference(resolution,[status(thm)],[c34,c71]) ).
cnf(d1,plain,
less(v200,sK60),
inference(resolution,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
( ~ less(X0,v200)
| less(X0,sK61) ),
inference(resolution,[status(thm)],[c34,c72]) ).
cnf(d3,plain,
less(v100,sK61),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
( ~ less(X0,v100)
| less(X0,sK62) ),
inference(resolution,[status(thm)],[c34,c73]) ).
cnf(d5,plain,
less(v50,sK62),
inference(resolution,[status(thm)],[d4,c9]) ).
cnf(d6,plain,
leq(v50,sK62),
inference(resolution,[status(thm)],[d5,c29]) ).
cnf(d7,plain,
( ~ leq(sK62,v50)
| sK62 = v50 ),
inference(resolution,[status(thm)],[d6,c31]) ).
cnf(d8,plain,
leq(v200,sK60),
inference(resolution,[status(thm)],[d1,c29]) ).
cnf(d9,plain,
( ~ leq(sK60,v200)
| sK60 = v200 ),
inference(resolution,[status(thm)],[d8,c31]) ).
cnf(d10,plain,
leq(v100,sK61),
inference(resolution,[status(thm)],[d3,c29]) ).
cnf(d11,plain,
( ~ leq(sK61,v100)
| sK61 = v100 ),
inference(resolution,[status(thm)],[d10,c31]) ).
cnf(d12,plain,
( 'in$ulopen'(sK60,v0,v200)
| 'in$ulopen'(sK62,v0,v50)
| leq(sK61,v100) ),
inference(resolution,[status(thm)],[c40,c70]) ).
cnf(d13,plain,
( leq(sK60,v200)
| 'in$ulopen'(sK62,v0,v50)
| leq(sK61,v100) ),
inference(resolution,[status(thm)],[d12,c40]) ).
cnf(d14,plain,
( leq(sK62,v50)
| leq(sK61,v100)
| leq(sK60,v200) ),
inference(resolution,[status(thm)],[d13,c40]) ).
cnf(d15,plain,
( sK61 = v100
| leq(sK60,v200)
| leq(sK62,v50) ),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( sK60 = v200
| leq(sK62,v50)
| sK61 = v100 ),
inference(resolution,[status(thm)],[d15,d9]) ).
cnf(d17,plain,
( sK62 = v50
| sK61 = v100
| sK60 = v200 ),
inference(resolution,[status(thm)],[d16,d7]) ).
cnf(d18,plain,
( sK60 = v200
| sK62 = v50
| less(v100,v100) ),
inference(superposition,[status(thm)],[d17,d3]) ).
cnf(d19,plain,
( sK60 = v200
| sK62 = v50 ),
inference(resolution,[status(thm)],[c25,d18]) ).
cnf(d20,plain,
( sK62 = v50
| less(v200,v200) ),
inference(superposition,[status(thm)],[d19,d1]) ).
cnf(d21,plain,
sK62 = v50,
inference(resolution,[status(thm)],[c25,d20]) ).
cnf(d22,plain,
less(v50,v50),
inference(demodulation,[status(thm)],[d5,d21]) ).
cnf(d23,plain,
$false,
inference(resolution,[status(thm)],[c25,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT085+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n004.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 00:12:36 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.85/6.17 % SZS status Theorem for theBenchmark.p
% 17.85/6.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------