%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT041+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 08:01:19 AM UTC 2026
% Result : Theorem 14.97s 2.43s
% Output : CNFRefutation 14.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 64 ( 31 ~; 19 |; 12 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 1 sgn 6 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_not_high_and_low,axiom,
! [X0,X1] :
~ ( 'number$uof$uroutines'(X0,X1,high)
& 'number$uof$uroutines'(X0,X1,low) ) ).
fof(a14,hypothesis,
! [X0,X1] :
( ( 'founding$utime'(X0,X1)
& 'efficient$uproducer'(X0)
& 'organisation$uat$utime'(X0,X1) )
=> 'has$uelaborated$uroutines'(X0,X1) ) ).
fof(a15,hypothesis,
! [X0,X1] :
( ( 'founding$utime'(X0,X1)
& 'first$umover'(X0)
& 'organisation$uat$utime'(X0,X1) )
=> 'number$uof$uroutines'(X0,X1,low) ) ).
fof(a16,hypothesis,
? [X0,X1] :
( ~ 'has$uelaborated$uroutines'(X0,X1)
& 'number$uof$uroutines'(X0,X1,high)
& 'founding$utime'(X0,X1)
& 'organisation$uat$utime'(X0,X1) ) ).
fof(prove_t10,conjecture,
? [X0,X1] :
( ~ 'efficient$uproducer'(X0)
& ~ 'first$umover'(X0)
& 'organisation$uat$utime'(X0,X1) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( ~ 'efficient$uproducer'(X0)
& ~ 'first$umover'(X0)
& 'organisation$uat$utime'(X0,X1) ),
inference(negate_conjecture,[status(cth)],[prove_t10]) ).
cnf(c0,plain,
( ~ 'number$uof$uroutines'(X0,X1,high)
| ~ 'number$uof$uroutines'(X0,X1,low) ),
inference(clausification,[status(esa)],[mp_not_high_and_low]) ).
cnf(c1,plain,
( 'has$uelaborated$uroutines'(X0,X1)
| ~ 'founding$utime'(X0,X1)
| ~ 'efficient$uproducer'(X0)
| ~ 'organisation$uat$utime'(X0,X1) ),
inference(clausification,[status(esa)],[a14]) ).
cnf(c2,plain,
( 'number$uof$uroutines'(X0,X1,low)
| ~ 'founding$utime'(X0,X1)
| ~ 'first$umover'(X0)
| ~ 'organisation$uat$utime'(X0,X1) ),
inference(clausification,[status(esa)],[a15]) ).
cnf(c3,plain,
'organisation$uat$utime'(sK6,sK7),
inference(clausification,[status(esa)],[a16]) ).
cnf(c4,plain,
'founding$utime'(sK6,sK7),
inference(clausification,[status(esa)],[a16]) ).
cnf(c5,plain,
'number$uof$uroutines'(sK6,sK7,high),
inference(clausification,[status(esa)],[a16]) ).
cnf(c6,plain,
~ 'has$uelaborated$uroutines'(sK6,sK7),
inference(clausification,[status(esa)],[a16]) ).
cnf(c7,plain,
( 'efficient$uproducer'(X0)
| 'first$umover'(X0)
| ~ 'organisation$uat$utime'(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'number$uof$uroutines'(X0,X1,high)
| ~ 'first$umover'(X0)
| ~ 'organisation$uat$utime'(X0,X1)
| ~ 'founding$utime'(X0,X1) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
( ~ 'first$umover'(sK6)
| ~ 'organisation$uat$utime'(sK6,sK7)
| ~ 'founding$utime'(sK6,sK7) ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( ~ 'first$umover'(sK6)
| ~ 'founding$utime'(sK6,sK7) ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
~ 'first$umover'(sK6),
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
( 'first$umover'(sK6)
| 'efficient$uproducer'(sK6) ),
inference(resolution,[status(thm)],[c3,c7]) ).
cnf(d5,plain,
( 'has$uelaborated$uroutines'(sK6,sK7)
| ~ 'efficient$uproducer'(sK6)
| ~ 'founding$utime'(sK6,sK7) ),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(d6,plain,
( 'has$uelaborated$uroutines'(sK6,sK7)
| ~ 'efficient$uproducer'(sK6) ),
inference(resolution,[status(thm)],[c4,d5]) ).
cnf(d7,plain,
~ 'efficient$uproducer'(sK6),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
'first$umover'(sK6),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT041+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 00:12:12 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.97/2.43 % SZS status Theorem for theBenchmark.p
% 14.97/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------