%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT107+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 : n016.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 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 15 unt; 0 def)
% Number of atoms : 24 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 3 !; 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 = w
| less(v600,w)
| less(w,v600) ),
inference(instantiation,[status(thm)],[2]) ).
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(l15,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
fof(wit_eq1,plain,
w = v600,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wit_eq1) ).
cnf(49,plain,
w = v600,
inference(cnf,[status(esa)],[wit_eq1]) ).
cnf(l9,plain,
w = v600,
inference(instantiation,[status(thm)],[49]) ).
cnf(l16,plain,
w = v600,
inference(instantiation,[status(thm)],[49]) ).
cnf(l17,plain,
~ less(v600,v600),
inference(instantiation,[status(thm)],[0]) ).
fof(distinct,plain,
v600 != v800,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct) ).
cnf(48,plain,
v600 != v800,
inference(cnf,[status(esa)],[distinct]) ).
cnf(l14,plain,
v600 != v800,
inference(instantiation,[status(thm)],[48]) ).
fof(wit_eq2,plain,
w = v800,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wit_eq2) ).
cnf(50,plain,
w = v800,
inference(cnf,[status(esa)],[wit_eq2]) ).
cnf(l5,plain,
w = v800,
inference(instantiation,[status(thm)],[50]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l15,l9,l16,l17,l14,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT107+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
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 14:47:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.40 % SZS status Theorem for theBenchmark
% 0.13/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------