%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM020-1 : 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 : n031.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 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named deny_addition_lemma)
% Comments :
%------------------------------------------------------------------------------
cnf(10,plain,
~ equalish(add(a,successor(n0)),successor(a)),
inference(cnf,[status(esa)],[deny_addition_lemma]) ).
cnf(l0,plain,
~ equalish(add(a,successor(n0)),successor(a)),
inference(instantiation,[status(thm)],[10]) ).
cnf(8,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity]) ).
cnf(l1,plain,
( ~ equalish(add(a,successor(n0)),successor(add(a,n0)))
| ~ equalish(successor(add(a,n0)),successor(a))
| equalish(add(a,successor(n0)),successor(a)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
( ~ equalish(X0,X1)
| equalish(successor(X0),successor(X1)) ),
inference(cnf,[status(esa)],[successor_substitution]) ).
cnf(l4,plain,
( ~ equalish(add(a,n0),a)
| equalish(successor(add(a,n0)),successor(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
equalish(add(X0,successor(X1)),successor(add(X0,X1))),
inference(cnf,[status(esa)],[addition]) ).
cnf(l2,plain,
equalish(add(a,successor(n0)),successor(add(a,n0))),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
equalish(add(X0,n0),X0),
inference(cnf,[status(esa)],[adding_zero]) ).
cnf(l5,plain,
equalish(add(a,n0),a),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM020-1 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.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 10:13:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 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
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------