%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT091+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 : 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 08:01:29 AM UTC 2026
% Result : Theorem 17.83s 12.89s
% Output : CNFRefutation 17.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 73 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 32 ~; 27 |; 4 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v600,axiom,
less(v0,v600) ).
fof(ord_v400_v600,axiom,
less(v400,v600) ).
fof(ord_v600_v800,axiom,
less(v600,v800) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(in_closed,axiom,
! [X0,X1,X2] :
( 'in$uclosed'(X0,X1,X2)
<=> ( leq(X0,X2)
& leq(X1,X0) ) ) ).
fof(axis_conflict_def,axiom,
! [X0,X1,X2,X3] :
( 'axis$uconflict'(X0,X1,X2,X3)
<=> ~ ? [X4] :
( 'in$uclosed'(X4,X2,X3)
& 'in$uclosed'(X4,X0,X1) ) ) ).
fof(axis_compatible_def,axiom,
! [X0,X1,X2,X3] :
( 'axis$ucompatible'(X0,X1,X2,X3)
<=> ? [X4] :
( 'in$uclosed'(X4,X2,X3)
& 'in$uclosed'(X4,X0,X1) ) ) ).
fof(box2_overlap,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( 'box2$ucompatible'(X0,X1,X2,X3,X4,X5,X6,X7)
<=> ( 'axis$ucompatible'(X2,X3,X6,X7)
& 'axis$ucompatible'(X0,X1,X4,X5) ) ) ).
fof(odrl624,conjecture,
'box2$ucompatible'(v0,v600,v0,v600,v400,v800,v400,v800) ).
fof(negated_conjecture,negated_conjecture,
~ 'box2$ucompatible'(v0,v600,v0,v600,v400,v800,v400,v800),
inference(negate_conjecture,[status(cth)],[odrl624]) ).
cnf(c5,plain,
less(v0,v600),
inference(clausification,[status(esa)],[ord_v0_v600]) ).
cnf(c6,plain,
less(v400,v600),
inference(clausification,[status(esa)],[ord_v400_v600]) ).
cnf(c8,plain,
less(v600,v800),
inference(clausification,[status(esa)],[ord_v600_v800]) ).
cnf(c19,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c20,plain,
( X0 != X1
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c28,plain,
( ~ leq(X0,X2)
| ~ leq(X1,X0)
| 'in$uclosed'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_closed]) ).
cnf(c38,plain,
( ~ 'in$uclosed'(X4,X2,X3)
| ~ 'in$uclosed'(X4,X0,X1)
| ~ 'axis$uconflict'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[axis_conflict_def]) ).
cnf(c39,plain,
( 'in$uclosed'(sK38(X0,X1,X2,X3),X0,X1)
| 'axis$uconflict'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[axis_conflict_def]) ).
cnf(c40,plain,
( 'in$uclosed'(sK38(X0,X1,X2,X3),X2,X3)
| 'axis$uconflict'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[axis_conflict_def]) ).
cnf(c43,plain,
( ~ 'in$uclosed'(X4,X2,X3)
| ~ 'in$uclosed'(X4,X0,X1)
| 'axis$ucompatible'(X0,X1,X2,X3) ),
inference(clausification,[status(esa)],[axis_compatible_def]) ).
cnf(c69,plain,
( ~ 'axis$ucompatible'(X2,X3,X6,X7)
| ~ 'axis$ucompatible'(X0,X1,X4,X5)
| 'box2$ucompatible'(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(clausification,[status(esa)],[box2_overlap]) ).
cnf(c87,plain,
~ 'box2$ucompatible'(v0,v600,v0,v600,v400,v800,v400,v800),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v400,v600),
inference(resolution,[status(thm)],[c19,c6]) ).
cnf(d1,plain,
( ~ 'axis$ucompatible'(v0,v600,v400,v800)
| ~ 'axis$ucompatible'(v0,v600,v400,v800) ),
inference(resolution,[status(thm)],[c69,c87]) ).
cnf(d2,plain,
( 'axis$uconflict'(X0,X1,X2,X3)
| 'axis$ucompatible'(X2,X3,X4,X5)
| ~ 'in$uclosed'(sK38(X0,X1,X2,X3),X4,X5) ),
inference(resolution,[status(thm)],[c43,c40]) ).
cnf(d3,plain,
( 'axis$uconflict'(X0,X1,X2,X3)
| 'axis$ucompatible'(X2,X3,X0,X1)
| 'axis$uconflict'(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[d2,c39]) ).
cnf(d4,plain,
'axis$uconflict'(v400,v800,v0,v600),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( ~ 'in$uclosed'(X0,v400,v800)
| ~ 'in$uclosed'(X0,v0,v600) ),
inference(resolution,[status(thm)],[d4,c38]) ).
cnf(d6,plain,
( ~ leq(v400,X0)
| ~ leq(X0,v800)
| ~ 'in$uclosed'(X0,v0,v600) ),
inference(resolution,[status(thm)],[d5,c28]) ).
cnf(d7,plain,
( ~ leq(v0,X0)
| ~ leq(X0,v600)
| ~ leq(v400,X0)
| ~ leq(X0,v800) ),
inference(resolution,[status(thm)],[d6,c28]) ).
cnf(d8,plain,
( ~ leq(v0,v600)
| ~ leq(v600,v800)
| ~ leq(v600,v600) ),
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
leq(v0,v600),
inference(resolution,[status(thm)],[c19,c5]) ).
cnf(d10,plain,
( ~ leq(v600,v800)
| ~ leq(v600,v600) ),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
leq(v600,v800),
inference(resolution,[status(thm)],[c19,c8]) ).
cnf(d12,plain,
~ leq(v600,v600),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c20]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[d13,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.54 % Computer : n006.cluster.edu
% 0.10/10.54 % Model : x86_64 x86_64
% 0.10/10.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.54 % Memory : 8046.5625MB
% 0.10/10.54 % OS : Linux 6.8.0-71-generic
% 0.10/10.54 % CPULimit : 300
% 0.10/10.54 % WCLimit : 300
% 0.10/10.54 % DateTime : Sat Sep 26 00:12:22 UTC 2026
% 0.10/10.54 % CPUTime :
% 0.10/10.54 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.83/12.89 % SZS status Theorem for theBenchmark.p
% 17.83/12.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------