%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM027-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 12:27:31 PM UTC 2025
% Result : Unsatisfiable 142.94s 18.28s
% Output : CNFRefutation 142.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_c_is_0)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
~ equalish(c,n0),
inference(cnf,[status(esa)],[prove_c_is_0]) ).
cnf(l0,plain,
~ equalish(c,n0),
inference(instantiation,[status(thm)],[20]) ).
cnf(17,plain,
( ~ less(X0,X1)
| equalish(X2,n0)
| less(multiply(X0,X2),multiply(X1,X2)) ),
inference(cnf,[status(esa)],[multiply_lemma]) ).
cnf(l1,plain,
( ~ less(a,b)
| equalish(c,n0)
| less(multiply(a,c),multiply(b,c)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(14,plain,
( equalish(X0,X1)
| less(X1,X0)
| less(X0,X1) ),
inference(cnf,[status(esa)],[numbers_either_less_or_equal]) ).
cnf(l2,plain,
( equalish(b,a)
| less(a,b)
| less(b,a) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l42,plain,
( ~ less(multiply(a,c),multiply(b,c))
| equalish(c,n0)
| less(multiply(multiply(a,c),c),multiply(multiply(b,c),c)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(6,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf,[status(esa)],[transitivity_of_less]) ).
cnf(l46,plain,
( ~ less(multiply(multiply(b,c),c),multiply(multiply(a,c),c))
| ~ less(multiply(multiply(a,c),c),multiply(multiply(b,c),c))
| less(multiply(multiply(a,c),c),multiply(multiply(a,c),c)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(18,plain,
~ less(b,a),
inference(cnf,[status(esa)],[b_not_less_than_a]) ).
cnf(l4,plain,
~ less(b,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l47,plain,
( ~ less(multiply(b,c),multiply(a,c))
| equalish(c,n0)
| less(multiply(multiply(b,c),c),multiply(multiply(a,c),c)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(15,plain,
~ less(X0,X0),
inference(cnf,[status(esa)],[number_not_less_than_itself]) ).
cnf(l48,plain,
~ less(multiply(multiply(a,c),c),multiply(multiply(a,c),c)),
inference(instantiation,[status(thm)],[15]) ).
cnf(19,plain,
less(multiply(b,c),multiply(a,c)),
inference(cnf,[status(esa)],[b_times_c_less_than_a_times_c]) ).
cnf(l52,plain,
less(multiply(b,c),multiply(a,c)),
inference(instantiation,[status(thm)],[19]) ).
cnf(12,plain,
( ~ equalish(X0,X1)
| equalish(multiply(X0,X2),multiply(X1,X2)) ),
inference(cnf,[status(esa)],[equality_preserved_over_times]) ).
cnf(l28,plain,
( ~ equalish(b,a)
| equalish(multiply(b,c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(13,plain,
( ~ equalish(X0,X1)
| ~ less(X0,X1) ),
inference(cnf,[status(esa)],[not_less_and_equal]) ).
cnf(l29,plain,
( ~ equalish(multiply(b,c),multiply(a,c))
| ~ less(multiply(b,c),multiply(a,c)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l34,plain,
less(multiply(b,c),multiply(a,c)),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l42,l46,l4,l47,l48,l52,l28,l29,l34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : NUM027-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.04/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n024.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 10:15:34 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.09/0.31 % launching worker at depth: 10
% 0.14/0.34 % launching worker at depth: 11
% 5.91/1.06 % launching worker at depth: 12
% 142.94/18.28 % SZS status Theorem for theBenchmark
% 142.94/18.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------