%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM021-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:27:30 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named impossible_c_divides_a)
% Comments :
%------------------------------------------------------------------------------
cnf(17,plain,
divides(c,a),
inference(cnf,[status(esa)],[impossible_c_divides_a]) ).
cnf(l0,plain,
divides(c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(9,plain,
( ~ divides(X0,X1)
| equalish(X0,X1)
| less(X0,X1) ),
inference(cnf,[status(esa)],[divides_only_less_or_equal]) ).
cnf(l1,plain,
( ~ divides(c,a)
| equalish(c,a)
| less(c,a) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(6,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf,[status(esa)],[transitivity_of_less]) ).
cnf(l4,plain,
( ~ less(c,a)
| ~ less(b,c)
| less(b,a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(14,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l2,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c)
| ~ equalish(c,a)
| equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),a) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(16,plain,
~ less(b,a),
inference(cnf,[status(esa)],[b_greater_equal_a]) ).
cnf(l6,plain,
~ less(b,a),
inference(instantiation,[status(thm)],[16]) ).
cnf(7,plain,
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
inference(cnf,[status(esa)],[smaller_number]) ).
cnf(l15,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),a)
| less(b,a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l17,plain,
~ less(b,a),
inference(instantiation,[status(thm)],[16]) ).
cnf(8,plain,
( ~ less(X0,X1)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
inference(cnf,[status(esa)],[less_lemma]) ).
cnf(l23,plain,
( ~ less(b,c)
| equalish(add(successor(predecessor_of_1st_minus_2nd(c,b)),b),c) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(15,plain,
less(b,c),
inference(cnf,[status(esa)],[b_less_than_c]) ).
cnf(l10,plain,
less(b,c),
inference(instantiation,[status(thm)],[15]) ).
cnf(l25,plain,
less(b,c),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l6,l15,l17,l23,l10,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM021-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 10:14:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.20/0.36 % launching worker at depth: 11
% 0.20/0.37 % SZS status Theorem for theBenchmark
% 0.20/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------