%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM024-1 : 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 : 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 9.73s 1.57s
% Output : CNFRefutation 9.73s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_contradiction)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
~ equalish(successor(X0),n0),
inference(cnf,[status(esa)],[prove_a_contradiction]) ).
cnf(l0,plain,
~ equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0),
inference(instantiation,[status(thm)],[15]) ).
cnf(12,plain,
( ~ equalish(add(X0,X1),add(X2,X1))
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[plus_substitution]) ).
cnf(l1,plain,
( ~ equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),add(n0,a))
| equalish(successor(predecessor_of_1st_minus_2nd(a,a)),n0) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(11,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(a,a)),a),a)
| ~ equalish(a,add(n0,a))
| equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),add(n0,a)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l10,plain,
( ~ equalish(a,add(a,n0))
| ~ equalish(add(a,n0),add(n0,a))
| equalish(a,add(n0,a)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry]) ).
cnf(l14,plain,
( ~ equalish(add(n0,a),add(a,n0))
| equalish(add(a,n0),add(n0,a)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(13,plain,
equalish(add(X0,X1),add(X1,X0)),
inference(cnf,[status(esa)],[commutativity_of_plus]) ).
cnf(l15,plain,
equalish(add(n0,a),add(a,n0)),
inference(instantiation,[status(thm)],[13]) ).
cnf(l11,plain,
( ~ equalish(add(a,n0),a)
| equalish(a,add(a,n0)) ),
inference(instantiation,[status(thm)],[10]) ).
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(l3,plain,
( ~ less(a,a)
| equalish(add(successor(predecessor_of_1st_minus_2nd(a,a)),a),a) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(0,plain,
equalish(add(X0,n0),X0),
inference(cnf,[status(esa)],[adding_zero]) ).
cnf(l13,plain,
equalish(add(a,n0),a),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
less(a,a),
inference(cnf,[status(esa)],[impossible_a_is_less_than_itself]) ).
cnf(l4,plain,
less(a,a),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l10,l14,l15,l11,l3,l13,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM024-1 : 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 : n024.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 10:14:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 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: 7
% 0.13/0.35 % launching worker at depth: 5
% 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
% 0.13/0.36 % launching worker at depth: 11
% 2.72/0.73 % launching worker at depth: 12
% 9.73/1.57 % SZS status Theorem for theBenchmark
% 9.73/1.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------