%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN553-1 : 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 : n019.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 09:10:34 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.42s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 37 ( 28 unt; 0 nHn; 34 RR)
% Number of literals : 55 ( 0 equ; 20 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X0,X0),
file('theBenchmark.p',p2_1) ).
cnf(p2_5,negated_conjecture,
p2(f8(X11,X12),f8(X12,X11)),
file('theBenchmark.p',p2_5) ).
cnf(p2_6,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X1,X3)
| p2(X1,X2) ),
file('theBenchmark.p',p2_6) ).
cnf(p2_7,negated_conjecture,
p2(f8(X8,f8(X9,X10)),f8(f8(X8,X9),X10)),
file('theBenchmark.p',p2_7) ).
cnf(p2_8,negated_conjecture,
( ~ p2(X5,X7)
| ~ p2(X4,X6)
| p2(f8(X4,X5),f8(X6,X7)) ),
file('theBenchmark.p',p2_8) ).
cnf(not_p2_9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('theBenchmark.p',not_p2_9) ).
cnf(t1,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
inference(start,[status(thm),parent(0:0)],[not_p2_9]) ).
cnf(t2,plain,
( ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(c4,f8(f9(c3),f9(c4))))
| ~ p2(f8(c4,f8(f9(c3),f9(c4))),f8(f9(c4),f8(f9(c3),c4)))
| p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))) ),
inference(extension,[status(thm),parent(t1:1)],[p2_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p2(f8(c4,f8(f9(c3),f9(c4))),f8(f9(c4),f8(c4,f9(c3))))
| ~ p2(f8(f9(c4),f8(c4,f9(c3))),f8(f9(c4),f8(f9(c3),c4)))
| p2(f8(c4,f8(f9(c3),f9(c4))),f8(f9(c4),f8(f9(c3),c4))) ),
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(f9(c4),f9(c4))
| ~ p2(f8(c4,f9(c3)),f8(f9(c3),c4))
| p2(f8(f9(c4),f8(c4,f9(c3))),f8(f9(c4),f8(f9(c3),c4))) ),
inference(extension,[status(thm),parent(t4:2)],[p2_8]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p2(f8(c4,f9(c3)),f8(f9(c3),c4)),
inference(extension,[status(thm),parent(t6:2)],[p2_5]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p2(f9(c4),f9(c4)),
inference(extension,[status(thm),parent(t6:3)],[p2_1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
( ~ p2(f8(c4,f8(f9(c3),f9(c4))),f8(f8(c4,f9(c3)),f9(c4)))
| ~ p2(f8(f8(c4,f9(c3)),f9(c4)),f8(f9(c4),f8(c4,f9(c3))))
| p2(f8(c4,f8(f9(c3),f9(c4))),f8(f9(c4),f8(c4,f9(c3)))) ),
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(f8(f8(c4,f9(c3)),f9(c4)),f8(f9(c4),f8(c4,f9(c3)))),
inference(extension,[status(thm),parent(t12:2)],[p2_5]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p2(f8(c4,f8(f9(c3),f9(c4))),f8(f8(c4,f9(c3)),f9(c4))),
inference(extension,[status(thm),parent(t12:3)],[p2_7]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c3),f8(f9(c4),c4)))
| ~ p2(f8(f9(c3),f8(f9(c4),c4)),f8(c4,f8(f9(c3),f9(c4))))
| p2(f8(f8(f9(c4),c4),f9(c3)),f8(c4,f8(f9(c3),f9(c4)))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_6]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:3]) ).
cnf(t20,plain,
( ~ p2(f8(f9(c3),f8(f9(c4),c4)),f8(f8(f9(c3),f9(c4)),c4))
| ~ p2(f8(f8(f9(c3),f9(c4)),c4),f8(c4,f8(f9(c3),f9(c4))))
| p2(f8(f9(c3),f8(f9(c4),c4)),f8(c4,f8(f9(c3),f9(c4)))) ),
inference(extension,[status(thm),parent(t18:2)],[p2_6]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p2(f8(f8(f9(c3),f9(c4)),c4),f8(c4,f8(f9(c3),f9(c4)))),
inference(extension,[status(thm),parent(t20:2)],[p2_5]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p2(f8(f9(c3),f8(f9(c4),c4)),f8(f8(f9(c3),f9(c4)),c4)),
inference(extension,[status(thm),parent(t20:3)],[p2_7]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f8(f9(c4),c4),f9(c3)))
| ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c3),f8(f9(c4),c4)))
| p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c3),f8(f9(c4),c4))) ),
inference(extension,[status(thm),parent(t18:3)],[p2_6]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t18:3]) ).
cnf(t28,plain,
p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c3),f8(f9(c4),c4))),
inference(extension,[status(thm),parent(t26:2)],[p2_5]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p2(f8(f8(f9(c4),c4),f9(c3)),f8(f8(f9(c4),c4),f9(c3))),
inference(extension,[status(thm),parent(t26:3)],[p2_1]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN553-1 : 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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 07:03:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.42 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------