%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM022-1 : TPTP v9.0.0. Released v1.0.0.
% 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 12:27:31 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_less_than_d)
% Comments :
%------------------------------------------------------------------------------
cnf(9,plain,
~ less(a,d),
inference(cnf,[status(esa)],[prove_a_less_than_d]) ).
cnf(l0,plain,
~ less(a,d),
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
inference(cnf,[status(esa)],[smaller_number]) ).
cnf(l1,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(b,a)),a),d)
| less(a,d) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
( ~ equalish(X0,X1)
| ~ equalish(X2,X0)
| equalish(X2,X1) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l2,plain,
( ~ equalish(b,d)
| ~ equalish(add(successor(predecessor_of_1st_minus_2nd(b,a)),a),b)
| equalish(add(successor(predecessor_of_1st_minus_2nd(b,a)),a),d) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
( ~ divides(X0,X1)
| less(X0,X1)
| equalish(X0,X1) ),
inference(cnf,[status(esa)],[divides_only_less_or_equal]) ).
cnf(l3,plain,
( ~ divides(b,d)
| less(b,d)
| equalish(b,d) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
divides(b,d),
inference(cnf,[status(esa)],[b_divides_d]) ).
cnf(l7,plain,
divides(b,d),
inference(instantiation,[status(thm)],[8]) ).
cnf(0,plain,
( ~ less(X0,X1)
| ~ less(X2,X0)
| less(X2,X1) ),
inference(cnf,[status(esa)],[transitivity_of_less]) ).
cnf(l5,plain,
( ~ less(b,d)
| ~ less(a,b)
| less(a,d) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
less(a,b),
inference(cnf,[status(esa)],[a_less_than_b]) ).
cnf(l9,plain,
less(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
( ~ less(X0,X1)
| equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1) ),
inference(cnf,[status(esa)],[less_lemma]) ).
cnf(l4,plain,
( ~ less(a,b)
| equalish(add(successor(predecessor_of_1st_minus_2nd(b,a)),a),b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
less(a,b),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l7,l5,l9,l4,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM022-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.33 % Computer : n027.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Jul 21 10:14:19 EDT 2025
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % launching worker at depth: 2
% 0.14/0.33 % launching worker at depth: 7
% 0.14/0.33 % launching worker at depth: 5
% 0.14/0.33 % launching worker at depth: 3
% 0.14/0.33 % launching worker at depth: 1
% 0.14/0.33 % launching worker at depth: 6
% 0.14/0.33 % launching worker at depth: 8
% 0.14/0.33 % launching worker at depth: 4
% 0.14/0.33 % launching worker at depth: 9
% 0.14/0.33 % launching worker at depth: 10
% 0.14/0.33 % launching worker at depth: 11
% 0.19/0.34 % launching worker at depth: 12
% 0.19/0.34 % SZS status Theorem for theBenchmark
% 0.19/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------