%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL112-1 : TPTP v9.3.1. 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:13:12 PM UTC 2026
% Result : Unsatisfiable 50.39s 6.70s
% Output : CNFRefutation 50.39s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_mv_29ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(5,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(cnf,[status(esa)],[prove_mv_29]) ).
cnf(l0,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(not(not(not(a))),not(a)))
| ~ is_a_theorem(implies(implies(not(not(not(a))),not(a)),implies(a,not(not(a)))))
| is_a_theorem(implies(a,not(not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(cnf,[status(esa)],[mv_5]) ).
cnf(l3,plain,
is_a_theorem(implies(implies(not(not(not(a))),not(a)),implies(a,not(not(a))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l2,plain,
( ~ is_a_theorem(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))
| ~ is_a_theorem(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(not(not(not(a))),not(a))))
| is_a_theorem(implies(not(not(not(a))),not(a))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,plain,
( ~ is_a_theorem(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))))
| ~ is_a_theorem(implies(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(not(not(not(a))),not(a)))))
| is_a_theorem(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(not(not(not(a))),not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf,[status(esa)],[mv_2]) ).
cnf(l25,plain,
is_a_theorem(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l66,plain,
( ~ is_a_theorem(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(not(not(not(a))),not(a))))))
| is_a_theorem(implies(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(not(not(not(a))),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l67,plain,
( ~ is_a_theorem(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))))
| ~ is_a_theorem(implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))))
| is_a_theorem(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l70,plain,
is_a_theorem(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(not(not(not(a))),not(a)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l72,plain,
( ~ is_a_theorem(implies(implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))))
| ~ is_a_theorem(implies(implies(implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))),implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))))))
| is_a_theorem(implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l69,plain,
is_a_theorem(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l80,plain,
is_a_theorem(implies(implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l81,plain,
( ~ is_a_theorem(implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))))))
| ~ is_a_theorem(implies(implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))))),implies(implies(implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))),implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))))))
| is_a_theorem(implies(implies(implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))),implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l87,plain,
is_a_theorem(implies(implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))))),implies(implies(implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a)))),implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)),implies(not(not(not(a))),not(a))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l86,plain,
( ~ is_a_theorem(implies(not(not(not(a))),implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a))))))
| ~ is_a_theorem(implies(implies(not(not(not(a))),implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a))))),implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))))))
| is_a_theorem(implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l68,plain,
( ~ is_a_theorem(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))
| ~ is_a_theorem(implies(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))))
| is_a_theorem(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf,[status(esa)],[mv_1]) ).
cnf(l90,plain,
is_a_theorem(implies(not(not(not(a))),implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l91,plain,
is_a_theorem(implies(implies(not(not(not(a))),implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a))))),implies(implies(implies(not(not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(not(not(a)))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),implies(not(not(not(a))),implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l94,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))))
| is_a_theorem(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l103,plain,
( ~ is_a_theorem(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a))))
| ~ is_a_theorem(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a))),implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))))
| is_a_theorem(implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l95,plain,
( ~ is_a_theorem(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))))
| ~ is_a_theorem(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),implies(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))))
| is_a_theorem(implies(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l97,plain,
is_a_theorem(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),implies(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l104,plain,
is_a_theorem(implies(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a))),implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l107,plain,
is_a_theorem(implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l96,plain,
is_a_theorem(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l102,plain,
( ~ is_a_theorem(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a))))
| ~ is_a_theorem(implies(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a))),implies(implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))))
| is_a_theorem(implies(implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(cnf,[status(esa)],[mv_3]) ).
cnf(l105,plain,
is_a_theorem(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)))),
inference(instantiation,[status(thm)],[3]) ).
cnf(l106,plain,
is_a_theorem(implies(implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a))),implies(implies(implies(implies(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))),not(a)),not(a)),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a))),implies(implies(implies(not(a),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25)))),implies(implies(not(not(a)),not(implies(implies(X0_25,X1_25),implies(implies(X1_25,X2_25),implies(X0_25,X2_25))))),not(a)))))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l24,l25,l66,l67,l70,l72,l69,l80,l81,l87,l86,l68,l90,l91,l94,l103,l95,l97,l104,l107,l96,l102,l105,l106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL112-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 08:07:42 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 % launching worker at depth: 1
% 0.03/0.36 % launching worker at depth: 5
% 0.03/0.36 % launching worker at depth: 3
% 0.03/0.36 % launching worker at depth: 4
% 0.03/0.36 % launching worker at depth: 2
% 0.03/0.36 % launching worker at depth: 6
% 0.03/0.36 % launching worker at depth: 7
% 0.03/0.36 % launching worker at depth: 8
% 0.03/0.37 % launching worker at depth: 9
% 0.03/0.37 % launching worker at depth: 10
% 0.03/0.37 % launching worker at depth: 11
% 0.03/0.48 % launching worker at depth: 12
% 50.39/6.70 % SZS status Theorem for theBenchmark
% 50.39/6.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------