%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT115+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 : n014.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 08:01:32 AM UTC 2026
% Result : Theorem 9.43s 1.73s
% Output : CNFRefutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(issue_injective,axiom,
! [X0,X1] :
( issue(X0) = issue(X1)
=> X0 = X1 ) ).
fof(pi1_neq_pi2,axiom,
pi1 != pi2 ).
fof(conjecture,conjecture,
issue(pi1) != issue(pi2) ).
fof(negated_conjecture,negated_conjecture,
~ ( issue(pi1) != issue(pi2) ),
inference(negate_conjecture,[status(cth)],[conjecture]) ).
cnf(c0,plain,
( X0 = X1
| issue(X0) != issue(X1) ),
inference(clausification,[status(esa)],[issue_injective]) ).
cnf(c3,plain,
pi1 != pi2,
inference(clausification,[status(esa)],[pi1_neq_pi2]) ).
cnf(c4,plain,
issue(pi1) = issue(pi2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( pi2 = X0
| issue(pi1) != issue(X0) ),
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
pi2 = pi1,
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
pi1 != pi1,
inference(demodulation,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
$false,
inference(equality_resolution,[status(thm)],[d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT115+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:14:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.43/1.73 % SZS status Theorem for theBenchmark.p
% 9.43/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------