%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 06:11:34 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 35 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 11 ~; 12 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(trichotomy,plain,
! [X,Y] :
( less(X,Y)
| X = Y
| less(Y,X) ),
file('Axioms/MGT002+0.ax',trichotomy) ).
cnf(2,plain,
( X0 = X1
| less(X0,X1)
| less(X1,X0) ),
inference(cnf,[status(esa)],[trichotomy]) ).
cnf(l0,plain,
( v600 = v700
| less(v600,v700)
| less(v700,v600) ),
inference(instantiation,[status(thm)],[2]) ).
fof(transitive,plain,
! [X,Y,Z] :
( ( less(X,Y)
& less(Y,Z) )
=> less(X,Z) ),
file('Axioms/MGT002+0.ax',transitive) ).
cnf(1,plain,
( ~ less(X0,X1)
| ~ less(X1,X2)
| less(X0,X2) ),
inference(cnf,[status(esa)],[transitive]) ).
cnf(l1,plain,
( ~ less(v600,v700)
| ~ less(v700,v600)
| less(v600,v600) ),
inference(instantiation,[status(thm)],[1]) ).
fof(contradiction,plain,
( less(v700,v600)
& less(v600,v700) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
cnf(53,plain,
less(v700,v600),
inference(cnf,[status(esa)],[contradiction]) ).
cnf(l10,plain,
less(v700,v600),
inference(instantiation,[status(thm)],[53]) ).
cnf(l5,plain,
( ~ less(v600,v700)
| ~ less(v700,v600)
| less(v600,v600) ),
inference(instantiation,[status(thm)],[1]) ).
fof(irreflexive,plain,
! [X] : ~ less(X,X),
file('Axioms/MGT002+0.ax',irreflexive) ).
cnf(0,plain,
~ less(X0,X0),
inference(cnf,[status(esa)],[irreflexive]) ).
cnf(l3,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
fof(ord_v600_v700,plain,
less(v600,v700),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ord_v600_v700) ).
cnf(49,plain,
less(v600,v700),
inference(cnf,[status(esa)],[ord_v600_v700]) ).
cnf(l9,plain,
less(v600,v700),
inference(instantiation,[status(thm)],[49]) ).
cnf(l11,plain,
~ less(v700,v700),
inference(instantiation,[status(thm)],[0]) ).
cnf(l17,plain,
less(v700,v600),
inference(instantiation,[status(thm)],[53]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l5,l3,l8,l9,l11,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 14:41:07 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % launching worker at depth: 1
% 0.10/0.35 % launching worker at depth: 5
% 0.10/0.35 % launching worker at depth: 2
% 0.10/0.35 % launching worker at depth: 4
% 0.10/0.35 % launching worker at depth: 6
% 0.10/0.35 % launching worker at depth: 7
% 0.10/0.35 % launching worker at depth: 3
% 0.10/0.35 % launching worker at depth: 8
% 0.13/0.36 % 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
%------------------------------------------------------------------------------