TSTP Solution File: LCL098-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:12:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.35s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_4)]) ).

cnf(g1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

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

cnf(g3,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

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

cnf(g5,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

cnf(g6,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g7,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

cnf(g8,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

cnf(g9,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

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

cnf(g12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

cnf(g13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL098-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 20:22:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % symbols: 9
% 0.19/0.35  % clauses: 3
% 0.19/0.35  % start clauses: 1
% 0.19/0.35  % iterative deepening steps: 213
% 0.19/0.35  % maximum path limit: 5
% 0.19/0.35  % literal attempts: 2460
% 0.19/0.35  % depth failures: 520
% 0.19/0.35  % regularity failures: 0
% 0.19/0.35  % tautology failures: 0
% 0.19/0.35  % reductions: 0
% 0.19/0.35  % extensions: 2252
% 0.19/0.35  % SAT variables: 1691
% 0.19/0.35  % SAT clauses: 1678
% 0.19/0.35  % WalkSAT solutions: 1675
% 0.19/0.35  % CDCL solutions: 0
% 0.19/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.35  % SZS output start ListOfCNF for theBenchmark
% See solution above
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