%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT079+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 : n005.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 13.74s 2.71s
% Output : CNFRefutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 18 unt; 0 def)
% Number of atoms : 95 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 103 ( 46 ~; 42 |; 12 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 46 ( 6 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v32,axiom,
less(v0,v32) ).
fof(ord_v0_v400,axiom,
less(v0,v400) ).
fof(ord_v16_v32,axiom,
less(v16,v32) ).
fof(ord_v32_v600,axiom,
less(v32,v600) ).
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(in_lopen,axiom,
! [X0,X1,X2] :
( 'in$ulopen'(X0,X1,X2)
<=> ( leq(X0,X2)
& less(X1,X0) ) ) ).
fof(odrl350,conjecture,
? [X0,X1,X2] :
( ~ ( 'in$ulopen'(X2,v0,v16)
& 'in$ulopen'(X1,v0,v800)
& 'in$ulopen'(X0,v0,v1200) )
& 'in$ulopen'(X2,v0,v32)
& 'in$ulopen'(X1,v0,v400)
& 'in$ulopen'(X0,v0,v600) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2] :
( ~ ( 'in$ulopen'(X2,v0,v16)
& 'in$ulopen'(X1,v0,v800)
& 'in$ulopen'(X0,v0,v1200) )
& 'in$ulopen'(X2,v0,v32)
& 'in$ulopen'(X1,v0,v400)
& 'in$ulopen'(X0,v0,v600) ),
inference(negate_conjecture,[status(cth)],[odrl350]) ).
cnf(c8,plain,
less(v0,v32),
inference(clausification,[status(esa)],[ord_v0_v32]) ).
cnf(c9,plain,
less(v0,v400),
inference(clausification,[status(esa)],[ord_v0_v400]) ).
cnf(c13,plain,
less(v16,v32),
inference(clausification,[status(esa)],[ord_v16_v32]) ).
cnf(c19,plain,
less(v32,v600),
inference(clausification,[status(esa)],[ord_v32_v600]) ).
cnf(c49,plain,
~ less(X0,X0),
inference(clausification,[status(esa)],[irreflexive]) ).
cnf(c53,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c54,plain,
( X0 != X1
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c55,plain,
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_antisym]) ).
cnf(c64,plain,
( leq(X0,X2)
| ~ 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c65,plain,
( ~ leq(X0,X2)
| ~ less(X1,X0)
| 'in$ulopen'(X0,X1,X2) ),
inference(clausification,[status(esa)],[in_lopen]) ).
cnf(c96,plain,
( 'in$ulopen'(X2,v0,v16)
| ~ 'in$ulopen'(X2,v0,v32)
| ~ 'in$ulopen'(X1,v0,v400)
| ~ 'in$ulopen'(X0,v0,v600) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(v16,v32),
inference(resolution,[status(thm)],[c53,c13]) ).
cnf(d1,plain,
( ~ leq(v32,v16)
| v32 = v16 ),
inference(resolution,[status(thm)],[d0,c55]) ).
cnf(d2,plain,
leq(X0,X0),
inference(equality_resolution,[status(thm)],[c54]) ).
cnf(d3,plain,
leq(v32,v600),
inference(resolution,[status(thm)],[c53,c19]) ).
cnf(d4,plain,
( 'in$ulopen'(X0,v0,v16)
| ~ 'in$ulopen'(X2,v0,v400)
| ~ 'in$ulopen'(X1,v0,v600)
| ~ leq(X0,v32)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[c65,c96]) ).
cnf(d5,plain,
( ~ leq(X2,v600)
| ~ less(v0,X2)
| 'in$ulopen'(X0,v0,v16)
| ~ 'in$ulopen'(X1,v0,v400)
| ~ leq(X0,v32)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[d4,c65]) ).
cnf(d6,plain,
( ~ leq(X2,v400)
| ~ less(v0,X2)
| 'in$ulopen'(X1,v0,v16)
| ~ leq(X1,v32)
| ~ leq(X0,v600)
| ~ less(v0,X1)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[d5,c65]) ).
cnf(d7,plain,
( 'in$ulopen'(X1,v0,v16)
| ~ leq(X1,v32)
| ~ leq(X0,v400)
| ~ less(v0,v32)
| ~ less(v0,X1)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( 'in$ulopen'(X0,v0,v16)
| ~ leq(X1,v400)
| ~ leq(X0,v32)
| ~ less(v0,X1)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
( 'in$ulopen'(v32,v0,v16)
| ~ leq(X0,v400)
| ~ less(v0,v32)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[d2,d8]) ).
cnf(d10,plain,
( 'in$ulopen'(v32,v0,v16)
| ~ leq(X0,v400)
| ~ less(v0,X0) ),
inference(resolution,[status(thm)],[c8,d9]) ).
cnf(d11,plain,
( 'in$ulopen'(v32,v0,v16)
| ~ less(v0,v400) ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
'in$ulopen'(v32,v0,v16),
inference(resolution,[status(thm)],[c9,d11]) ).
cnf(d13,plain,
leq(v32,v16),
inference(resolution,[status(thm)],[d12,c64]) ).
cnf(d14,plain,
v32 = v16,
inference(resolution,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
less(v32,v32),
inference(demodulation,[status(thm)],[c13,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c49,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT079+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
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 00:11:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.74/2.71 % SZS status Theorem for theBenchmark.p
% 13.74/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------