%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL130-1 : 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 : n004.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 08:48:43 AM UTC 2026
% Result : Unsatisfiable 0.13s 5.47s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 38 ( 29 unt; 0 nHn; 29 RR)
% Number of literals : 56 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(equivalent(X,Y)) ),
file('theBenchmark.p',condensed_detachment) ).
cnf(p_4,axiom,
is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))),X)),
file('theBenchmark.p',p_4) ).
cnf(prove_lg_2,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('theBenchmark.p',prove_lg_2) ).
cnf(t1,plain,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(start,[status(thm),parent(0:0)],[prove_lg_2]) ).
cnf(t2,plain,
( ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))
| is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
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(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))) ),
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(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))) ),
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(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(extension,[status(thm),parent(t6:2)],[p_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99))))) ),
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(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))))),
inference(extension,[status(thm),parent(t10:2)],[p_4]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_97,U_98),equivalent(equivalent(U_97,U_99),equivalent(U_98,U_99)))),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(extension,[status(thm),parent(t10:3)],[p_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),a)),
inference(extension,[status(thm),parent(t4:3)],[p_4]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t4:3]) ).
cnf(t18,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))
| is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
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(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))) ),
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(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))) ),
inference(extension,[status(thm),parent(t20:2)],[condensed_detachment]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(extension,[status(thm),parent(t22:2)],[p_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123))))) ),
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(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))))),
inference(extension,[status(thm),parent(t26:2)],[p_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))),equivalent(equivalent(U_121,U_122),equivalent(equivalent(U_121,U_123),equivalent(U_122,U_123)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))),equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e))))))))),
inference(extension,[status(thm),parent(t26:3)],[p_4]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(extension,[status(thm),parent(t20:3)],[p_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t20:3]) ).
cnf(t34,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(U_129,U_130),equivalent(equivalent(U_129,U_131),equivalent(U_130,U_131)))),equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
inference(extension,[status(thm),parent(t18:3)],[p_4]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t18:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL130-1 : 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
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 19 14:10:57 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.13/5.47 % SZS status Unsatisfiable for theBenchmark
% 0.13/5.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------