%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN009-2 : 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 : n005.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 09:09:12 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 18 unt; 2 nHn; 26 RR)
% Number of literals : 42 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ t(X,Y,Z)
| ~ p(X,Y,Z) ),
file('theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
( ~ t(Y,Z,X)
| ~ q(X,Y,Z) ),
file('theBenchmark.p',clause_2) ).
cnf(clause_3,negated_conjecture,
( ~ t(Z,X,Y)
| ~ r(X,Y,Z) ),
file('theBenchmark.p',clause_3) ).
cnf(clause_6,negated_conjecture,
s(c),
file('theBenchmark.p',clause_6) ).
cnf(clause_7,negated_conjecture,
t(c,c,c),
file('theBenchmark.p',clause_7) ).
cnf(clause_8,negated_conjecture,
( r(Z,X,Y)
| q(Y,Z,X)
| p(X,Y,Z)
| ~ s(Z)
| ~ s(Y)
| ~ s(X) ),
file('theBenchmark.p',clause_8) ).
cnf(t1,plain,
( ~ t(c,c,c)
| ~ p(c,c,c) ),
inference(start,[status(thm),parent(0:0)],[clause_1]) ).
cnf(t2,plain,
( ~ s(c)
| ~ s(c)
| r(c,c,c)
| q(c,c,c)
| ~ s(c)
| p(c,c,c) ),
inference(extension,[status(thm),parent(t1:1)],[clause_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
s(c),
inference(extension,[status(thm),parent(t2:2)],[clause_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
s(c),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
( ~ t(c,c,c)
| ~ q(c,c,c) ),
inference(extension,[status(thm),parent(t2:3)],[clause_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
t(c,c,c),
inference(extension,[status(thm),parent(t6:2)],[clause_7]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ t(c,c,c)
| ~ r(c,c,c) ),
inference(extension,[status(thm),parent(t2:4)],[clause_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:4]) ).
cnf(t12,plain,
t(c,c,c),
inference(extension,[status(thm),parent(t10:2)],[clause_7]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
s(c),
inference(lemma_extension,[status(thm),parent(t2:5)],[l2:1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:5]) ).
cnf(t16,plain,
s(c),
inference(lemma_extension,[status(thm),parent(t2:6)],[l2:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:6]) ).
cnf(t18,plain,
t(c,c,c),
inference(extension,[status(thm),parent(t1:2)],[clause_7]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN009-2 : 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
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 06:22:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------