%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 09:10:35 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 18 unt; 0 nHn; 21 RR)
% Number of literals : 34 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X3,X3),
file('theBenchmark.p',p2_1) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('theBenchmark.p',not_p2_3) ).
cnf(p2_4,negated_conjecture,
p2(f3(X10,X11),f3(X11,X10)),
file('theBenchmark.p',p2_4) ).
cnf(p2_6,negated_conjecture,
( ~ p2(X3,X5)
| ~ p2(X3,X4)
| p2(X4,X5) ),
file('theBenchmark.p',p2_6) ).
cnf(p2_8,negated_conjecture,
( ~ p2(f3(X0,X2),f3(X1,X2))
| p2(X0,X1) ),
file('theBenchmark.p',p2_8) ).
cnf(p2_10,negated_conjecture,
p2(f3(X12,f3(X13,X14)),f3(X13,f3(X12,X14))),
file('theBenchmark.p',p2_10) ).
cnf(p2_12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('theBenchmark.p',p2_12) ).
cnf(t1,plain,
~ p2(c6,f3(c8,f5(c9))),
inference(start,[status(thm),parent(0:0)],[not_p2_3]) ).
cnf(t2,plain,
( ~ p2(f3(c6,f5(c7)),f3(f3(c8,f5(c9)),f5(c7)))
| p2(c6,f3(c8,f5(c9))) ),
inference(extension,[status(thm),parent(t1:1)],[p2_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7)))
| ~ p2(f3(c8,f3(f5(c7),f5(c9))),f3(f3(c8,f5(c9)),f5(c7)))
| p2(f3(c6,f5(c7)),f3(f3(c8,f5(c9)),f5(c7))) ),
inference(extension,[status(thm),parent(t2:2)],[p2_6]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p2(f3(f5(c7),f3(c8,f5(c9))),f3(c8,f3(f5(c7),f5(c9))))
| ~ p2(f3(f5(c7),f3(c8,f5(c9))),f3(f3(c8,f5(c9)),f5(c7)))
| p2(f3(c8,f3(f5(c7),f5(c9))),f3(f3(c8,f5(c9)),f5(c7))) ),
inference(extension,[status(thm),parent(t4:2)],[p2_6]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p2(f3(f5(c7),f3(c8,f5(c9))),f3(f3(c8,f5(c9)),f5(c7))),
inference(extension,[status(thm),parent(t6:2)],[p2_4]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p2(f3(f5(c7),f3(c8,f5(c9))),f3(c8,f3(f5(c7),f5(c9)))),
inference(extension,[status(thm),parent(t6:3)],[p2_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9))))
| ~ p2(f3(c6,f5(c7)),f3(c6,f5(c7)))
| p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))) ),
inference(extension,[status(thm),parent(t4:3)],[p2_6]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t4:3]) ).
cnf(t14,plain,
p2(f3(c6,f5(c7)),f3(c6,f5(c7))),
inference(extension,[status(thm),parent(t12:2)],[p2_1]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
inference(extension,[status(thm),parent(t12:3)],[p2_12]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN557-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 07:07:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------