%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL010-1 : 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 08:48:31 AM UTC 2026
% Result : Unsatisfiable 0.10s 10.86s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 50 ( 38 unt; 0 nHn; 41 RR)
% Number of literals : 74 ( 0 equ; 26 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; 3 con; 0-2 aty)
% Number of variables : 21 ( 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(yqf,axiom,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Z,Y)))),
file('theBenchmark.p',yqf) ).
cnf(prove_yql,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
file('theBenchmark.p',prove_yql) ).
cnf(t1,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
inference(start,[status(thm),parent(0:0)],[prove_yql]) ).
cnf(t2,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))
| is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,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(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,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(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))))),
inference(extension,[status(thm),parent(t4:2)],[yqf]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c)))) ),
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(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))))) ),
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(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,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(a,c),equivalent(a,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c)))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))))))),
inference(extension,[status(thm),parent(t12:2)],[yqf]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(equivalent(c,b),equivalent(a,c))))),
inference(extension,[status(thm),parent(t12:3)],[yqf]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))))) ),
inference(extension,[status(thm),parent(t10:3)],[condensed_detachment]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t10:3]) ).
cnf(t20,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c))),equivalent(equivalent(equivalent(a,c),equivalent(a,c)),equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))))),
inference(extension,[status(thm),parent(t18:2)],[yqf]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))),
inference(extension,[status(thm),parent(t18:3)],[yqf]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
is_a_theorem(equivalent(equivalent(a,c),equivalent(equivalent(a,U_98),equivalent(U_98,c)))),
inference(extension,[status(thm),parent(t8:3)],[yqf]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t8:3]) ).
cnf(t26,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b))))
| is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b))) ),
inference(extension,[status(thm),parent(t2:3)],[condensed_detachment]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:3]) ).
cnf(t28,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))) ),
inference(extension,[status(thm),parent(t26:2)],[condensed_detachment]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b))))) ),
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(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))))) ),
inference(extension,[status(thm),parent(t30:2)],[condensed_detachment]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b))))))),
inference(extension,[status(thm),parent(t32:2)],[yqf]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b))),equivalent(equivalent(equivalent(a,c),equivalent(c,b)),equivalent(a,b))))),
inference(extension,[status(thm),parent(t32:3)],[yqf]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
( ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))))))
| is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))))) ),
inference(extension,[status(thm),parent(t30:3)],[condensed_detachment]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t30:3]) ).
cnf(t40,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b))),equivalent(equivalent(equivalent(a,b),equivalent(a,b)),equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))))),
inference(extension,[status(thm),parent(t38:2)],[yqf]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))),
inference(extension,[status(thm),parent(t38:3)],[yqf]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,U_123),equivalent(U_123,b)))),
inference(extension,[status(thm),parent(t28:3)],[yqf]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t28:3]) ).
cnf(t46,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
inference(extension,[status(thm),parent(t26:3)],[yqf]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t26:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL010-1 : 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
% 0.10/10.82 % Computer : n004.cluster.edu
% 0.10/10.82 % Model : x86_64 x86_64
% 0.10/10.82 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.82 % Memory : 8046.5625MB
% 0.10/10.82 % OS : Linux 6.8.0-71-generic
% 0.10/10.82 % CPULimit : 300
% 0.10/10.82 % WCLimit : 300
% 0.10/10.82 % DateTime : Sat Sep 19 13:54:52 UTC 2026
% 0.10/10.82 % CPUTime :
% 0.10/10.86 % SZS status Unsatisfiable for theBenchmark
% 0.10/10.86 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------