%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 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 : n008.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 08:49:08 AM UTC 2026
% Result : Unsatisfiable 4.95s 10.20s
% Output : Proof 4.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 24 ( 19 unt; 0 nHn; 21 RR)
% Number of literals : 34 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 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(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('theBenchmark.p',cn_1) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)),
file('theBenchmark.p',cn_2) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))),
file('theBenchmark.p',cn_3) ).
cnf(prove_cn_11,negated_conjecture,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
file('theBenchmark.p',prove_cn_11) ).
cnf(t1,plain,
~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
inference(start,[status(thm),parent(0:0)],[prove_cn_11]) ).
cnf(t2,plain,
( ~ is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))
| ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))
| is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))) ),
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(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))
| ~ is_a_theorem(implies(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))) ),
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(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),implies(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))),
inference(extension,[status(thm),parent(t4:2)],[cn_1]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ is_a_theorem(implies(not(implies(implies(not(y),y),y)),x))
| ~ is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),x),implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))))
| is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)))) ),
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(implies(not(implies(implies(not(y),y),y)),x),implies(implies(x,implies(implies(not(y),y),y)),implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y))))),
inference(extension,[status(thm),parent(t8:2)],[cn_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ is_a_theorem(implies(implies(not(y),y),y))
| ~ is_a_theorem(implies(implies(implies(not(y),y),y),implies(not(implies(implies(not(y),y),y)),x)))
| is_a_theorem(implies(not(implies(implies(not(y),y),y)),x)) ),
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(implies(implies(implies(not(y),y),y),implies(not(implies(implies(not(y),y),y)),x))),
inference(extension,[status(thm),parent(t12:2)],[cn_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
is_a_theorem(implies(implies(not(y),y),y)),
inference(extension,[status(thm),parent(t12:3)],[cn_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
is_a_theorem(implies(implies(not(implies(implies(not(y),y),y)),implies(implies(not(y),y),y)),implies(implies(not(y),y),y))),
inference(extension,[status(thm),parent(t2:3)],[cn_2]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 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
% 0.07/5.36 % Computer : n008.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.37 % CPULimit : 300
% 0.07/5.37 % WCLimit : 300
% 0.07/5.37 % DateTime : Sat Sep 19 14:48:33 UTC 2026
% 0.07/5.37 % CPUTime :
% 4.95/10.20 % SZS status Unsatisfiable for theBenchmark
% 4.95/10.20 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------