%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL110-1 : TPTP v9.3.1. Released v1.0.0.
% 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 : 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 : Thu Sep 24 08:48:41 AM UTC 2026
% Result : Unsatisfiable 5.59s 6.09s
% Output : Proof 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 41 ( 32 unt; 0 nHn; 28 RR)
% Number of literals : 59 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 45 ( 1 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(mv_1,axiom,
is_a_theorem(implies(X,implies(Y,X))),
file('theBenchmark.p',mv_1) ).
cnf(mv_2,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('theBenchmark.p',mv_2) ).
cnf(mv_3,axiom,
is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))),
file('theBenchmark.p',mv_3) ).
cnf(mv_5,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))),
file('theBenchmark.p',mv_5) ).
cnf(prove_mv_24,negated_conjecture,
~ is_a_theorem(implies(not(not(a)),a)),
file('theBenchmark.p',prove_mv_24) ).
cnf(t1,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(start,[status(thm),parent(0:0)],[prove_mv_24]) ).
cnf(t2,plain,
( ~ is_a_theorem(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a))
| ~ is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a),implies(not(not(a)),a)))
| is_a_theorem(implies(not(not(a)),a)) ),
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(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),implies(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a),implies(not(not(a)),a))))
| is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a),implies(not(not(a)),a))) ),
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(implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),implies(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a),implies(not(not(a)),a)))),
inference(extension,[status(thm),parent(t4:2)],[mv_2]) ).
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(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))))
| ~ is_a_theorem(implies(implies(implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))))))
| is_a_theorem(implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))))) ),
inference(extension,[status(thm),parent(t4:3)],[condensed_detachment]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ is_a_theorem(implies(not(not(a)),implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a)))))
| ~ is_a_theorem(implies(implies(not(not(a)),implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a)))),implies(implies(implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))))))
| is_a_theorem(implies(implies(implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))))) ),
inference(extension,[status(thm),parent(t8:2)],[condensed_detachment]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
is_a_theorem(implies(implies(not(not(a)),implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a)))),implies(implies(implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),implies(not(not(a)),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))))))),
inference(extension,[status(thm),parent(t10:2)],[mv_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
is_a_theorem(implies(not(not(a)),implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))))),
inference(extension,[status(thm),parent(t10:3)],[mv_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
is_a_theorem(implies(implies(not(not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),not(not(a))),implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))))),
inference(extension,[status(thm),parent(t8:3)],[mv_5]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:3]) ).
cnf(t18,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a))
| ~ is_a_theorem(implies(implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a),implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a)))
| is_a_theorem(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a)) ),
inference(extension,[status(thm),parent(t2:3)],[condensed_detachment]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
cnf(t20,plain,
( ~ is_a_theorem(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a)))
| ~ is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a)),implies(implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a),implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a))))
| is_a_theorem(implies(implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a),implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a))) ),
inference(extension,[status(thm),parent(t18:2)],[condensed_detachment]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
is_a_theorem(implies(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a)),implies(implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a),implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),a)))),
inference(extension,[status(thm),parent(t20:2)],[mv_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
is_a_theorem(implies(implies(not(a),not(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))),implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a))),
inference(extension,[status(thm),parent(t20:3)],[mv_5]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ is_a_theorem(implies(implies(a,implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))
| ~ is_a_theorem(implies(implies(implies(a,implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a)))
| is_a_theorem(implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a)) ),
inference(extension,[status(thm),parent(t18:3)],[condensed_detachment]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).
cnf(t28,plain,
is_a_theorem(implies(implies(implies(a,implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),a),a))),
inference(extension,[status(thm),parent(t26:2)],[mv_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ is_a_theorem(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))
| ~ is_a_theorem(implies(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)),implies(implies(a,implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))))
| is_a_theorem(implies(implies(a,implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(not(U_132),not(U_133)),implies(U_133,U_132)))) ),
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(not(U_132),not(U_133)),implies(U_133,U_132)),implies(implies(a,implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))))),
inference(extension,[status(thm),parent(t30:2)],[mv_1]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
is_a_theorem(implies(implies(not(U_132),not(U_133)),implies(U_133,U_132))),
inference(extension,[status(thm),parent(t30:3)],[mv_5]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL110-1 : TPTP v9.3.1. Released v1.0.0.
% 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
% 0.10/0.56 % Computer : n026.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sat Sep 19 14:10:52 UTC 2026
% 0.10/0.57 % CPUTime :
% 5.59/6.09 % SZS status Unsatisfiable for theBenchmark
% 5.59/6.09 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------