%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT090+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 08:01:29 AM UTC 2026
% Result : Theorem 17.67s 3.40s
% Output : CNFRefutation 17.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 34 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 8 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ord_v0_v600,axiom,
less(v0,v600) ).
fof(ord_v600_v1200,axiom,
less(v600,v1200) ).
fof(distinct,axiom,
( v600 != v1200
& v0 != v1200
& v0 != v600 ) ).
fof(leq_def,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ) ).
fof(wf_lt,axiom,
! [X0,X1,X2] :
( wf(lt,X0,X1,X2)
<=> ( X0 != X1
& leq(X0,X2)
& leq(X1,X0) ) ) ).
fof(odrl613,conjecture,
wf(lt,v600,v0,v1200) ).
fof(negated_conjecture,negated_conjecture,
~ wf(lt,v600,v0,v1200),
inference(negate_conjecture,[status(cth)],[odrl613]) ).
cnf(c3,plain,
less(v0,v600),
inference(clausification,[status(esa)],[ord_v0_v600]) ).
cnf(c4,plain,
less(v600,v1200),
inference(clausification,[status(esa)],[ord_v600_v1200]) ).
cnf(c5,plain,
v0 != v600,
inference(clausification,[status(esa)],[distinct]) ).
cnf(c12,plain,
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_def]) ).
cnf(c65,plain,
( X0 = X1
| ~ leq(X0,X2)
| ~ leq(X1,X0)
| wf(lt,X0,X1,X2) ),
inference(clausification,[status(esa)],[wf_lt]) ).
cnf(c91,plain,
~ wf(lt,v600,v0,v1200),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ leq(v600,v1200)
| ~ leq(v0,v600)
| v600 = v0 ),
inference(resolution,[status(thm)],[c65,c91]) ).
cnf(d1,plain,
leq(v0,v600),
inference(resolution,[status(thm)],[c12,c3]) ).
cnf(d2,plain,
( ~ leq(v600,v1200)
| v600 = v0 ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
leq(v600,v1200),
inference(resolution,[status(thm)],[c12,c4]) ).
cnf(d4,plain,
v600 = v0,
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
v600 != v600,
inference(demodulation,[status(thm)],[c5,d4]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT090+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
% 0.18/0.86 % Computer : n004.cluster.edu
% 0.18/0.86 % Model : x86_64 x86_64
% 0.18/0.86 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.86 % Memory : 8046.5625MB
% 0.18/0.86 % OS : Linux 6.8.0-71-generic
% 0.18/0.86 % CPULimit : 300
% 0.18/0.86 % WCLimit : 300
% 0.18/0.86 % DateTime : Sat Sep 26 00:12:22 UTC 2026
% 0.18/0.86 % CPUTime :
% 0.18/0.86 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.67/3.40 % SZS status Theorem for theBenchmark.p
% 17.67/3.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------