%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 : Thu Sep 24 08:48:36 AM UTC 2026
% Result : Unsatisfiable 4.46s 4.71s
% Output : Proof 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 40 ( 31 unt; 0 nHn; 29 RR)
% Number of literals : 58 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('theBenchmark.p',condensed_detachment) ).
cnf(cn_19,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
file('theBenchmark.p',cn_19) ).
cnf(cn_37,axiom,
is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
file('theBenchmark.p',cn_37) ).
cnf(cn_59,axiom,
is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))),
file('theBenchmark.p',cn_59) ).
cnf(prove_cn_3,negated_conjecture,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('theBenchmark.p',prove_cn_3) ).
cnf(t1,plain,
~ is_a_theorem(implies(a,implies(not(a),b))),
inference(start,[status(thm),parent(0:0)],[prove_cn_3]) ).
cnf(t2,plain,
( ~ is_a_theorem(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))))
| ~ is_a_theorem(implies(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(a,implies(not(a),b))))
| is_a_theorem(implies(a,implies(not(a),b))) ),
inference(extension,[status(thm),parent(t1:1)],[condensed_detachment]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ is_a_theorem(implies(implies(implies(implies(a,U_171),a),implies(not(a),b)),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(a,U_171),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(a,implies(not(a),b)))))
| is_a_theorem(implies(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(a,implies(not(a),b)))) ),
inference(extension,[status(thm),parent(t2:2)],[condensed_detachment]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(a,implies(not(a),b))),implies(implies(implies(implies(implies(a,U_171),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(a,implies(not(a),b))))))
| is_a_theorem(implies(implies(implies(implies(implies(a,U_171),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(a,implies(not(a),b))))) ),
inference(extension,[status(thm),parent(t4:2)],[condensed_detachment]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
is_a_theorem(implies(implies(not(not(a)),implies(a,implies(not(a),b))),implies(implies(implies(implies(implies(a,U_171),a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(a,implies(not(a),b)))))),
inference(extension,[status(thm),parent(t6:2)],[cn_59]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ is_a_theorem(implies(implies(not(a),b),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(not(not(a)),implies(a,implies(not(a),b)))))
| is_a_theorem(implies(not(not(a)),implies(a,implies(not(a),b)))) ),
inference(extension,[status(thm),parent(t6:3)],[condensed_detachment]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
is_a_theorem(implies(implies(implies(not(a),b),implies(a,implies(not(a),b))),implies(not(not(a)),implies(a,implies(not(a),b))))),
inference(extension,[status(thm),parent(t10:2)],[cn_37]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ is_a_theorem(implies(implies(implies(U_149,a),implies(not(a),b)),implies(a,implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(implies(U_149,a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),b),implies(a,implies(not(a),b)))))
| is_a_theorem(implies(implies(not(a),b),implies(a,implies(not(a),b)))) ),
inference(extension,[status(thm),parent(t10:3)],[condensed_detachment]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
is_a_theorem(implies(implies(implies(implies(U_149,a),implies(not(a),b)),implies(a,implies(not(a),b))),implies(implies(not(a),b),implies(a,implies(not(a),b))))),
inference(extension,[status(thm),parent(t14:2)],[cn_19]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
is_a_theorem(implies(implies(implies(U_149,a),implies(not(a),b)),implies(a,implies(not(a),b)))),
inference(extension,[status(thm),parent(t14:3)],[cn_19]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
is_a_theorem(implies(implies(implies(implies(a,U_171),a),implies(not(a),b)),implies(a,implies(not(a),b)))),
inference(extension,[status(thm),parent(t4:3)],[cn_19]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:3]) ).
cnf(t22,plain,
( ~ is_a_theorem(implies(implies(a,implies(not(a),b)),implies(implies(implies(a,U_171),a),implies(not(a),b))))
| ~ is_a_theorem(implies(implies(implies(a,implies(not(a),b)),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b)))))
| is_a_theorem(implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b)))) ),
inference(extension,[status(thm),parent(t2:3)],[condensed_detachment]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:3]) ).
cnf(t24,plain,
is_a_theorem(implies(implies(implies(a,implies(not(a),b)),implies(implies(implies(a,U_171),a),implies(not(a),b))),implies(not(a),implies(implies(implies(a,U_171),a),implies(not(a),b))))),
inference(extension,[status(thm),parent(t22:2)],[cn_37]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ is_a_theorem(implies(not(implies(a,U_171)),implies(not(a),b)))
| ~ is_a_theorem(implies(implies(not(implies(a,U_171)),implies(not(a),b)),implies(implies(a,implies(not(a),b)),implies(implies(implies(a,U_171),a),implies(not(a),b)))))
| is_a_theorem(implies(implies(a,implies(not(a),b)),implies(implies(implies(a,U_171),a),implies(not(a),b)))) ),
inference(extension,[status(thm),parent(t22:3)],[condensed_detachment]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
is_a_theorem(implies(implies(not(implies(a,U_171)),implies(not(a),b)),implies(implies(a,implies(not(a),b)),implies(implies(implies(a,U_171),a),implies(not(a),b))))),
inference(extension,[status(thm),parent(t26:2)],[cn_59]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ is_a_theorem(implies(implies(implies(a,U_171),b),implies(not(a),b)))
| ~ is_a_theorem(implies(implies(implies(implies(a,U_171),b),implies(not(a),b)),implies(not(implies(a,U_171)),implies(not(a),b))))
| is_a_theorem(implies(not(implies(a,U_171)),implies(not(a),b))) ),
inference(extension,[status(thm),parent(t26:3)],[condensed_detachment]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
is_a_theorem(implies(implies(implies(implies(a,U_171),b),implies(not(a),b)),implies(not(implies(a,U_171)),implies(not(a),b)))),
inference(extension,[status(thm),parent(t30:2)],[cn_37]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
is_a_theorem(implies(implies(implies(a,U_171),b),implies(not(a),b))),
inference(extension,[status(thm),parent(t30:3)],[cn_37]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL069-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 14:02:42 UTC 2026
% 0.08/0.37 % CPUTime :
% 4.46/4.71 % SZS status Unsatisfiable for theBenchmark
% 4.46/4.71 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------