%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN609-1 : 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 : 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 09:10:42 AM UTC 2026
% Result : Unsatisfiable 0.31s 0.61s
% Output : Proof 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 31 unt; 0 nHn; 45 RR)
% Number of literals : 75 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
p2(X11,X11),
file('theBenchmark.p',p2_2) ).
cnf(p5_3,negated_conjecture,
p5(X43,X43),
file('theBenchmark.p',p5_3) ).
cnf(p3_4,negated_conjecture,
p3(X18,X18),
file('theBenchmark.p',p3_4) ).
cnf(p5_10,negated_conjecture,
( ~ p5(X48,X49)
| p5(f8(X48),f8(X49)) ),
file('theBenchmark.p',p5_10) ).
cnf(p2_11,negated_conjecture,
( ~ p5(X14,X15)
| p2(f6(X14),f6(X15)) ),
file('theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
( ~ p3(X16,X17)
| p2(f9(X16),f9(X17)) ),
file('theBenchmark.p',p2_12) ).
cnf(p5_16,negated_conjecture,
( ~ p5(X46,X47)
| p5(f7(X46),f7(X47)) ),
file('theBenchmark.p',p5_16) ).
cnf(p2_17,negated_conjecture,
( ~ p2(X11,X13)
| ~ p2(X11,X12)
| p2(X12,X13) ),
file('theBenchmark.p',p2_17) ).
cnf(p17_20,negated_conjecture,
( ~ p17(X4,X5)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| p17(X2,X3) ),
file('theBenchmark.p',p17_20) ).
cnf(p3_24,negated_conjecture,
( ~ p3(X22,X24)
| ~ p3(X21,X23)
| p3(f10(X21,X22),f10(X23,X24)) ),
file('theBenchmark.p',p3_24) ).
cnf(p3_27,negated_conjecture,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
file('theBenchmark.p',p3_27) ).
cnf(not_p17_28,negated_conjecture,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))),
file('theBenchmark.p',not_p17_28) ).
cnf(p17_29,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
file('theBenchmark.p',p17_29) ).
cnf(t1,plain,
~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f6(f7(f8(c20)))),
inference(start,[status(thm),parent(0:0)],[not_p17_28]) ).
cnf(t2,plain,
( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| ~ p2(f6(f7(f8(c20))),f6(f7(f8(c20))))
| ~ p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20))))
| p17(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f6(f7(f8(c20)))) ),
inference(extension,[status(thm),parent(t1:1)],[p17_20]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p17(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f6(f7(f8(c20)))),
inference(extension,[status(thm),parent(t2:2)],[p17_29]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p5(f7(f8(c20)),f7(f8(c20)))
| p2(f6(f7(f8(c20))),f6(f7(f8(c20)))) ),
inference(extension,[status(thm),parent(t2:3)],[p2_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ p5(f8(c20),f8(c20))
| p5(f7(f8(c20)),f7(f8(c20))) ),
inference(extension,[status(thm),parent(t6:2)],[p5_16]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ p5(c20,c20)
| p5(f8(c20),f8(c20)) ),
inference(extension,[status(thm),parent(t8:2)],[p5_10]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
p5(c20,c20),
inference(extension,[status(thm),parent(t10:2)],[p5_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| p2(f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))) ),
inference(extension,[status(thm),parent(t2:4)],[p2_17]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:4]) ).
cnf(t16,plain,
( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))) ),
inference(extension,[status(thm),parent(t14:2)],[p2_17]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
( ~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| ~ p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))))
| p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))) ),
inference(extension,[status(thm),parent(t16:2)],[p2_17]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))),
inference(extension,[status(thm),parent(t18:2)],[p2_2]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))),
inference(extension,[status(thm),parent(t18:3)],[p2_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
( ~ p3(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)),f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))
| p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)))) ),
inference(extension,[status(thm),parent(t16:3)],[p2_12]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t16:3]) ).
cnf(t26,plain,
p3(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)),f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),
inference(extension,[status(thm),parent(t24:2)],[p3_4]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ p3(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)),f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))))
| p2(f9(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21))),f9(f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20)))))))) ),
inference(extension,[status(thm),parent(t14:3)],[p2_12]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t14:3]) ).
cnf(t30,plain,
( ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19))
| ~ p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20))))))
| p3(f10(f14(f4(f9(c19)),c19),f12(f15(f4(f6(f7(f8(c20))))),c21)),f10(f14(f4(f9(c19)),c19),f15(f4(f6(f7(f8(c20))))))) ),
inference(extension,[status(thm),parent(t28:2)],[p3_24]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
p3(f12(f15(f4(f6(f7(f8(c20))))),c21),f15(f4(f6(f7(f8(c20)))))),
inference(extension,[status(thm),parent(t30:2)],[p3_27]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)),
inference(extension,[status(thm),parent(t30:3)],[p3_4]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN609-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n005.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 07:05:48 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.31/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.31/0.61 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------