%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT073+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 : n013.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 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 6 |; 3 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(no_false_compatible,plain,
? [X] :
( in_closed(X,n0,n10)
& in_closed(X,n5,n10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_compatible) ).
fof(no_false_compatible_negated,plain,
~ ? [X] :
( in_closed(X,n0,n10)
& in_closed(X,n5,n10) ),
inference(negate_conjecture,[status(cth)],[no_false_compatible]) ).
cnf(75,plain,
( ~ in_closed(X0,n0,n10)
| ~ in_closed(X0,n5,n10) ),
inference(cnf,[status(esa)],[no_false_compatible_negated]) ).
cnf(l0,plain,
( ~ in_closed(sK2(n0,n10,n5,n10),n0,n10)
| ~ in_closed(sK2(n0,n10,n5,n10),n5,n10) ),
inference(instantiation,[status(thm)],[75]) ).
fof(axis_compatible_def,plain,
! [I1lo,I1hi,I2lo,I2hi] :
( axis_compatible(I1lo,I1hi,I2lo,I2hi)
<=> ? [X] :
( in_closed(X,I1lo,I1hi)
& in_closed(X,I2lo,I2hi) ) ),
file('Axioms/MGT002+2.ax',axis_compatible_def) ).
cnf(26,plain,
( ~ axis_compatible(X0,X1,X2,X3)
| in_closed(sK2(X0,X1,X2,X3),X0,X1) ),
inference(cnf,[status(esa)],[axis_compatible_def]) ).
cnf(l1,plain,
( ~ axis_compatible(n0,n10,n5,n10)
| in_closed(sK2(n0,n10,n5,n10),n0,n10) ),
inference(instantiation,[status(thm)],[26]) ).
fof(compatible_hyp,plain,
axis_compatible(n0,n10,n5,n10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible_hyp) ).
cnf(74,plain,
axis_compatible(n0,n10,n5,n10),
inference(cnf,[status(esa)],[compatible_hyp]) ).
cnf(l4,plain,
axis_compatible(n0,n10,n5,n10),
inference(instantiation,[status(thm)],[74]) ).
cnf(27,plain,
( ~ axis_compatible(X0,X1,X2,X3)
| in_closed(sK2(X0,X1,X2,X3),X2,X3) ),
inference(cnf,[status(esa)],[axis_compatible_def]) ).
cnf(l3,plain,
( ~ axis_compatible(n0,n10,n5,n10)
| in_closed(sK2(n0,n10,n5,n10),n5,n10) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l6,plain,
axis_compatible(n0,n10,n5,n10),
inference(instantiation,[status(thm)],[74]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 13:57:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % launching worker at depth: 1
% 0.08/0.36 % launching worker at depth: 5
% 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: 2
% 0.08/0.36 % launching worker at depth: 6
% 0.08/0.36 % launching worker at depth: 8
% 0.08/0.36 % launching worker at depth: 7
% 0.08/0.36 % launching worker at depth: 9
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------