%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT071+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 : Tue Sep 8 06:11:31 AM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 4 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(no_false_conflict,plain,
~ ? [X] :
( in_closed(X,n0,n5)
& in_closed(X,n10,n15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_conflict) ).
fof(no_false_conflict_negated,plain,
~ ~ ? [X] :
( in_closed(X,n0,n5)
& in_closed(X,n10,n15) ),
inference(negate_conjecture,[status(cth)],[no_false_conflict]) ).
cnf(76,plain,
in_closed(sK5,n0,n5),
inference(cnf,[status(esa)],[no_false_conflict_negated]) ).
cnf(l0,plain,
in_closed(sK5,n0,n5),
inference(instantiation,[status(thm)],[76]) ).
fof(axis_conflict_def,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_conflict(I1lo,I1hi,I2lo,I2hi)
<=> ~ ? [X] :
( in_closed(X,I1lo,I1hi)
& in_closed(X,I2lo,I2hi) ) ),
file('Axioms/MGT002+2.ax',axis_conflict_def) ).
cnf(23,plain,
( ~ axis_conflict(X0,X1,X2,X3)
| ~ in_closed(X4,X0,X1)
| ~ in_closed(X4,X2,X3) ),
inference(cnf,[status(esa)],[axis_conflict_def]) ).
cnf(l1,plain,
( ~ axis_conflict(n0,n5,n10,n15)
| ~ in_closed(sK5,n0,n5)
| ~ in_closed(sK5,n10,n15) ),
inference(instantiation,[status(thm)],[23]) ).
fof(conflict_hyp,plain,
axis_conflict(n0,n5,n10,n15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conflict_hyp) ).
cnf(75,plain,
axis_conflict(n0,n5,n10,n15),
inference(cnf,[status(esa)],[conflict_hyp]) ).
cnf(l4,plain,
axis_conflict(n0,n5,n10,n15),
inference(instantiation,[status(thm)],[75]) ).
cnf(77,plain,
in_closed(sK5,n10,n15),
inference(cnf,[status(esa)],[no_false_conflict_negated]) ).
cnf(l5,plain,
in_closed(sK5,n10,n15),
inference(instantiation,[status(thm)],[77]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT071+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n028.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 : Mon Sep 7 13:57:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % launching worker at depth: 1
% 0.08/0.36 % launching worker at depth: 7
% 0.08/0.36 % launching worker at depth: 8
% 0.08/0.36 % launching worker at depth: 3
% 0.08/0.36 % launching worker at depth: 4
% 0.08/0.36 % launching worker at depth: 5
% 0.08/0.36 % launching worker at depth: 6
% 0.08/0.36 % launching worker at depth: 2
% 0.08/0.36 % launching worker at depth: 9
% 0.08/0.37 % SZS status Theorem for theBenchmark
% 0.08/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------