%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL096-1 : 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 : n010.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 08:48:39 AM UTC 2026
% Result : Unsatisfiable 0.14s 5.62s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 24 ( 19 unt; 0 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 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 : 25 ( 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(lg_2,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)),
file('theBenchmark.p',lg_2) ).
cnf(lg_3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)),
file('theBenchmark.p',lg_3) ).
cnf(lg_4,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))),
file('theBenchmark.p',lg_4) ).
cnf(prove_lg_1,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
file('theBenchmark.p',prove_lg_1) ).
cnf(t1,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
inference(start,[status(thm),parent(0:0)],[prove_lg_1]) ).
cnf(t2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))
| is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),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(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),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(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))),
inference(extension,[status(thm),parent(t4:2)],[lg_4]) ).
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(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(a,equivalent(equivalent(b,b),a))),c),c)),
inference(extension,[status(thm),parent(t4:3)],[lg_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c)))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c)) ),
inference(extension,[status(thm),parent(t2:3)],[condensed_detachment]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a)))),c),c))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a)))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c))) ),
inference(extension,[status(thm),parent(t10:2)],[condensed_detachment]) ).
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(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a)))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c),equivalent(equivalent(equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c)))),
inference(extension,[status(thm),parent(t12:2)],[lg_4]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),equivalent(equivalent(equivalent(b,U_113),a),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a)))),c),c)),
inference(extension,[status(thm),parent(t12:3)],[lg_3]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,b),equivalent(b,U_113)),equivalent(equivalent(b,b),a)),equivalent(equivalent(b,U_113),equivalent(equivalent(b,b),a))),c),c)),
inference(extension,[status(thm),parent(t10:3)],[lg_3]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-1 : 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
% 0.10/5.59 % Computer : n010.cluster.edu
% 0.10/5.59 % Model : x86_64 x86_64
% 0.10/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59 % Memory : 8046.5625MB
% 0.10/5.59 % OS : Linux 6.8.0-71-generic
% 0.10/5.59 % CPULimit : 300
% 0.10/5.59 % WCLimit : 300
% 0.10/5.59 % DateTime : Sat Sep 19 14:06:17 UTC 2026
% 0.10/5.59 % CPUTime :
% 0.14/5.62 % SZS status Unsatisfiable for theBenchmark
% 0.14/5.62 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------