%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:01:26 AM UTC 2026
% Result : Theorem 13.78s 3.39s
% Output : CNFRefutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 6 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 17 ( 4 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(h_inf_lb,hypothesis,
! [X0] : leq(ninf,X0) ).
fof(h_sup_ub,hypothesis,
! [X0] : leq(X0,nsup) ).
fof(completion_compat,axiom,
! [X0,X1,X2] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> 'completion$ucompatible'(X0,X1,X2) ) ).
fof(unknown_sound_compatible,conjecture,
? [X0] :
( 'completion$ucompatible'(X0,ninf,nsup)
& leq(X0,nsup)
& leq(ninf,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( 'completion$ucompatible'(X0,ninf,nsup)
& leq(X0,nsup)
& leq(ninf,X0) ),
inference(negate_conjecture,[status(cth)],[unknown_sound_compatible]) ).
cnf(c2,plain,
leq(ninf,X0),
inference(clausification,[status(esa)],[h_inf_lb]) ).
cnf(c3,plain,
leq(X0,nsup),
inference(clausification,[status(esa)],[h_sup_ub]) ).
cnf(c52,plain,
( 'completion$ucompatible'(X1,X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[completion_compat]) ).
cnf(c58,plain,
( ~ 'completion$ucompatible'(X0,ninf,nsup)
| ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'completion$ucompatible'(X0,ninf,nsup)
| ~ leq(X0,nsup) ),
inference(resolution,[status(thm)],[c2,c58]) ).
cnf(d1,plain,
~ 'completion$ucompatible'(X0,ninf,nsup),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( ~ leq(X0,nsup)
| ~ leq(ninf,X0) ),
inference(resolution,[status(thm)],[c52,d1]) ).
cnf(d3,plain,
~ leq(X0,nsup),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c3,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT070+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 00:09:23 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.78/3.39 % SZS status Theorem for theBenchmark.p
% 13.78/3.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------