%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL023-1 : 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 : n020.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 08:48:32 AM UTC 2026
% Result : Unsatisfiable 0.39s 0.63s
% Output : Proof 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 62 ( 47 unt; 0 nHn; 55 RR)
% Number of literals : 92 ( 0 equ; 32 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 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(yql,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,Y),equivalent(X,Z)))),
file('theBenchmark.p',yql) ).
cnf(prove_ec_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
file('theBenchmark.p',prove_ec_2) ).
cnf(t1,plain,
~ is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))),
inference(start,[status(thm),parent(0:0)],[prove_ec_2]) ).
cnf(t2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))) ),
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(b,c)),equivalent(equivalent(b,c),a)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c)))) ),
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(a,equivalent(b,c)),equivalent(equivalent(b,c),a)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(a,b),c))))),
inference(extension,[status(thm),parent(t4:2)],[yql]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a))))
| is_a_theorem(equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a))) ),
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(equivalent(equivalent(equivalent(b,c),equivalent(b,c)),equivalent(equivalent(a,equivalent(b,c)),equivalent(equivalent(b,c),a)))),
inference(extension,[status(thm),parent(t8:2)],[yql]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))),equivalent(equivalent(b,c),equivalent(b,c))))
| is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c))) ),
inference(extension,[status(thm),parent(t8:3)],[condensed_detachment]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))),equivalent(equivalent(b,c),equivalent(b,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))),equivalent(equivalent(b,c),equivalent(b,c)))) ),
inference(extension,[status(thm),parent(t12:2)],[condensed_detachment]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108))),equivalent(equivalent(b,c),equivalent(b,c))))),
inference(extension,[status(thm),parent(t14:2)],[yql]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108)))),
inference(extension,[status(thm),parent(t14:3)],[yql]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(U_108,c),equivalent(b,U_108)))),
inference(extension,[status(thm),parent(t12:3)],[yql]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t12:3]) ).
cnf(t22,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))) ),
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(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a)))) ),
inference(extension,[status(thm),parent(t22:2)],[condensed_detachment]) ).
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(a,b),c),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(b,c),a))))),
inference(extension,[status(thm),parent(t24:2)],[yql]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c))) ),
inference(extension,[status(thm),parent(t24:3)],[condensed_detachment]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t24:3]) ).
cnf(t30,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c)))) ),
inference(extension,[status(thm),parent(t28:2)],[condensed_detachment]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,b),c))))),
inference(extension,[status(thm),parent(t30:2)],[yql]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128)))),
inference(extension,[status(thm),parent(t30:3)],[yql]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(U_128,c),equivalent(equivalent(a,b),U_128)))),
inference(extension,[status(thm),parent(t28:3)],[yql]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t28:3]) ).
cnf(t38,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c))))
| is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c))) ),
inference(extension,[status(thm),parent(t22:3)],[condensed_detachment]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t22:3]) ).
cnf(t40,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c)))) ),
inference(extension,[status(thm),parent(t38:2)],[condensed_detachment]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))),equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(a,b),c))))),
inference(extension,[status(thm),parent(t40:2)],[yql]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))),
inference(extension,[status(thm),parent(t40:3)],[yql]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))) ),
inference(extension,[status(thm),parent(t38:3)],[condensed_detachment]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t38:3]) ).
cnf(t48,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b)))))) ),
inference(extension,[status(thm),parent(t46:2)],[condensed_detachment]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))))))),
inference(extension,[status(thm),parent(t48:2)],[yql]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))),
inference(extension,[status(thm),parent(t48:3)],[yql]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
( ~ is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a)))) ),
inference(extension,[status(thm),parent(t46:3)],[condensed_detachment]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t46:3]) ).
cnf(t56,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,b),a),equivalent(equivalent(b,c),equivalent(a,b))),equivalent(equivalent(a,c),equivalent(equivalent(a,b),a))))),
inference(extension,[status(thm),parent(t54:2)],[yql]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(b,c),equivalent(a,b)))),
inference(extension,[status(thm),parent(t54:3)],[yql]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL023-1 : 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
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Sep 19 13:57:31 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.39/0.63 % SZS status Unsatisfiable for theBenchmark
% 0.39/0.63 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------