SATCoP---0.1.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL086-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n026.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 01:03:08 PM UTC 2026

% Result   : Unsatisfiable 6.63s 1.21s
% Output   : Proof 6.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ is_a_theorem(implies(a,a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_1)]) ).

cnf(g1,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g2,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))))
    | is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g3,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g4,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))))
    | is_a_theorem(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g5,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))))
    | is_a_theorem(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g6,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g7,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g8,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(a,a),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))))
    | is_a_theorem(implies(implies(a,a),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g9,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(a,a),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g10,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g11,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g12,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))))
    | is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g13,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g14,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))
    | is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g15,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g16,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g17,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g18,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g19,plain,
    is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g20,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g21,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g22,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g23,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g24,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g25,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g26,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)))))
    | is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g27,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g28,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))
    | is_a_theorem(implies(a,a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g29,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))))))
    | is_a_theorem(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g30,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g31,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g32,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),a),implies(a,a))))
    | is_a_theorem(implies(implies(implies(a,a),a),implies(a,a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g33,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(a,implies(a,a))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),a),implies(a,a)))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),a),implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g34,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),a),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g35,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a)))))
    | is_a_theorem(implies(implies(a,a),implies(a,implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g36,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a))))))
    | is_a_theorem(implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g37,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g38,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g39,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(a,a),implies(a,implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g40,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,implies(a,a))),implies(implies(a,implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g41,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g42,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g43,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g44,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),a),implies(a,a)))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))
    | is_a_theorem(implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g45,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))
    | is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g46,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g47,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g48,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g49,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a))),implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g50,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a))),implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g51,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a)))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g52,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g53,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g54,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(a,a),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,a),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g55,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g56,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g57,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g58,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,a)),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(a,implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g59,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g60,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g61,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g62,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g63,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))))
    | is_a_theorem(implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g64,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

cnf(g65,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a)))),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))))),implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),implies(a,implies(a,a)))),implies(implies(implies(implies(implies(a,a),implies(implies(a,a),a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(implies(a,a),a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a),a),implies(implies(implies(a,implies(a,a)),a),a)),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),a),implies(a,a)),implies(implies(a,implies(implies(a,implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)),implies(implies(implies(a,implies(a,a)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,a)),a)))),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL086-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : satcop --statistics %s
% 0.09/0.36  % Computer : n026.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 07:07:40 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 6.63/1.21  % symbols: 5
% 6.63/1.21  % clauses: 3
% 6.63/1.21  % start clauses: 1
% 6.63/1.21  % iterative deepening steps: 2001
% 6.63/1.21  % maximum path limit: 10
% 6.63/1.21  % literal attempts: 101620
% 6.63/1.21  % depth failures: 11818
% 6.63/1.21  % regularity failures: 50
% 6.63/1.21  % tautology failures: 0
% 6.63/1.21  % reductions: 0
% 6.63/1.21  % extensions: 99673
% 6.63/1.21  % SAT variables: 86459
% 6.63/1.21  % SAT clauses: 93826
% 6.63/1.21  % WalkSAT solutions: 93819
% 6.63/1.21  % CDCL solutions: 4
% 6.63/1.21  % SZS status Unsatisfiable for theBenchmark
% 6.63/1.21  % SZS output start ListOfCNF for theBenchmark
% See solution above
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