%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 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 : n002.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 08:49:14 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.38s
% Output : Proof 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 21 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm147_1,negated_conjecture,
( ~ a_truth(implies(A,B))
| ~ a_truth(A)
| a_truth(B) ),
file('theBenchmark.p',thm147_1) ).
cnf(thm147_2,negated_conjecture,
a_truth(implies(A,implies(B,A))),
file('theBenchmark.p',thm147_2) ).
cnf(thm147_3,negated_conjecture,
a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('theBenchmark.p',thm147_3) ).
cnf(thm147_5,negated_conjecture,
~ a_truth(implies(sk1,sk1)),
file('theBenchmark.p',thm147_5) ).
cnf(t1,plain,
~ a_truth(implies(sk1,sk1)),
inference(start,[status(thm),parent(0:0)],[thm147_5]) ).
cnf(t2,plain,
( ~ a_truth(implies(sk1,implies(U_61,sk1)))
| ~ a_truth(implies(implies(sk1,implies(U_61,sk1)),implies(sk1,sk1)))
| a_truth(implies(sk1,sk1)) ),
inference(extension,[status(thm),parent(t1:1)],[thm147_1]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ a_truth(implies(sk1,implies(implies(U_61,sk1),sk1)))
| ~ a_truth(implies(implies(sk1,implies(implies(U_61,sk1),sk1)),implies(implies(sk1,implies(U_61,sk1)),implies(sk1,sk1))))
| a_truth(implies(implies(sk1,implies(U_61,sk1)),implies(sk1,sk1))) ),
inference(extension,[status(thm),parent(t2:2)],[thm147_1]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
a_truth(implies(implies(sk1,implies(implies(U_61,sk1),sk1)),implies(implies(sk1,implies(U_61,sk1)),implies(sk1,sk1)))),
inference(extension,[status(thm),parent(t4:2)],[thm147_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
a_truth(implies(sk1,implies(implies(U_61,sk1),sk1))),
inference(extension,[status(thm),parent(t4:3)],[thm147_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
a_truth(implies(sk1,implies(U_61,sk1))),
inference(extension,[status(thm),parent(t2:3)],[thm147_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Sat Sep 19 15:02:15 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------