%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN724-1 : 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 : n018.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 09:10:57 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 27 ( 15 unt; 2 nHn; 27 RR)
% Number of literals : 43 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm31_3,negated_conjecture,
( ~ r(A)
| s(A) ),
file('theBenchmark.p',thm31_3) ).
cnf(thm31_4,negated_conjecture,
( r(sk2)
| r(sk1) ),
file('theBenchmark.p',thm31_4) ).
cnf(thm31_9,negated_conjecture,
( ~ s(sk2)
| ~ r(sk2)
| r(sk1) ),
file('theBenchmark.p',thm31_9) ).
cnf(thm31_10,negated_conjecture,
( ~ s(sk1)
| r(sk2) ),
file('theBenchmark.p',thm31_10) ).
cnf(thm31_15,negated_conjecture,
( ~ s(sk2)
| ~ s(sk1)
| ~ r(sk2) ),
file('theBenchmark.p',thm31_15) ).
cnf(t1,plain,
( ~ s(sk1)
| ~ s(sk2)
| ~ r(sk2) ),
inference(start,[status(thm),parent(0:0)],[thm31_15]) ).
cnf(t2,plain,
( ~ s(sk1)
| r(sk2) ),
inference(extension,[status(thm),parent(t1:1)],[thm31_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ r(sk1)
| s(sk1) ),
inference(extension,[status(thm),parent(t2:2)],[thm31_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( r(sk2)
| r(sk1) ),
inference(extension,[status(thm),parent(t4:2)],[thm31_4]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
$false,
inference(reduction,[status(thm),parent(t6:2)],[t6:2,t1:1]) ).
cnf(l1,lemma,
r(sk2),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t9,plain,
( ~ r(sk2)
| s(sk2) ),
inference(extension,[status(thm),parent(t1:2)],[thm31_3]) ).
cnf(t10,plain,
$false,
inference(connection,[status(thm),parent(t9:1)],[t9:1,t1:2]) ).
cnf(t11,plain,
r(sk2),
inference(lemma_extension,[status(thm),parent(t9:2)],[l1:1]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t9:2]) ).
cnf(l5,lemma,
s(sk2),
inference(lemma,[status(cth),parent(t1:2),below(0:0)],[t1:2]) ).
cnf(t13,plain,
( ~ r(sk1)
| s(sk1) ),
inference(extension,[status(thm),parent(t1:3)],[thm31_3]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t1:3]) ).
cnf(t15,plain,
( ~ r(sk2)
| ~ s(sk2)
| r(sk1) ),
inference(extension,[status(thm),parent(t13:2)],[thm31_9]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t13:2]) ).
cnf(t17,plain,
s(sk2),
inference(lemma_extension,[status(thm),parent(t15:2)],[l5:1]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
r(sk2),
inference(lemma_extension,[status(thm),parent(t15:3)],[l1:1]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t15:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN724-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_EPR_NEQ_NHN 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
% 0.07/0.35 % Computer : n018.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
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 07:09:27 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------