%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN628-1 : 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 : 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 09:10:44 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.50s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 25 unt; 0 nHn; 34 RR)
% Number of literals : 59 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_1,negated_conjecture,
p2(X4,X4),
file('theBenchmark.p',p2_1) ).
cnf(p9_2,negated_conjecture,
p9(X40,X40),
file('theBenchmark.p',p9_2) ).
cnf(p5_4,negated_conjecture,
p5(X24,X24),
file('theBenchmark.p',p5_4) ).
cnf(p9_6,negated_conjecture,
p9(c28,c22),
file('theBenchmark.p',p9_6) ).
cnf(p9_13,negated_conjecture,
( ~ p9(X53,X54)
| p9(f16(X53),f16(X54)) ),
file('theBenchmark.p',p9_13) ).
cnf(p9_18,negated_conjecture,
( ~ p5(X47,X48)
| p9(f11(X47),f11(X48)) ),
file('theBenchmark.p',p9_18) ).
cnf(p20_26,negated_conjecture,
( ~ p20(X13,X14)
| ~ p9(X14,X12)
| ~ p9(X13,X11)
| p20(X11,X12) ),
file('theBenchmark.p',p20_26) ).
cnf(p9_29,negated_conjecture,
( ~ p9(X56,X58)
| ~ p9(X55,X57)
| p9(f17(X55,X56),f17(X57,X58)) ),
file('theBenchmark.p',p9_29) ).
cnf(p9_30,negated_conjecture,
( ~ p9(X50,X52)
| ~ p2(X49,X51)
| p9(f15(X49,X50),f15(X51,X52)) ),
file('theBenchmark.p',p9_30) ).
cnf(p9_31,negated_conjecture,
( ~ p9(X44,X46)
| ~ p9(X43,X45)
| p9(f10(X43,X44),f10(X45,X46)) ),
file('theBenchmark.p',p9_31) ).
cnf(p20_34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('theBenchmark.p',p20_34) ).
cnf(not_p20_35,negated_conjecture,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('theBenchmark.p',not_p20_35) ).
cnf(t1,plain,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
inference(start,[status(thm),parent(0:0)],[not_p20_35]) ).
cnf(t2,plain,
( ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27)))
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29))))))
| ~ p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))))
| p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))) ),
inference(extension,[status(thm),parent(t1:1)],[p20_26]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
inference(extension,[status(thm),parent(t2:2)],[p20_34]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22))
| ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))) ),
inference(extension,[status(thm),parent(t2:3)],[p9_31]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ p5(f12(f13(f14(c29))),f12(f13(f14(c29))))
| p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29))))) ),
inference(extension,[status(thm),parent(t6:2)],[p9_18]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
p5(f12(f13(f14(c29))),f12(f13(f14(c29)))),
inference(extension,[status(thm),parent(t8:2)],[p5_4]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
( ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(c28,c22)
| p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22)) ),
inference(extension,[status(thm),parent(t6:3)],[p9_30]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t6:3]) ).
cnf(t14,plain,
p9(c28,c22),
inference(extension,[status(thm),parent(t12:2)],[p9_6]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25))),
inference(extension,[status(thm),parent(t12:3)],[p2_1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
( ~ p9(f17(c28,c27),f17(c22,c27))
| p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(extension,[status(thm),parent(t2:4)],[p9_13]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:4]) ).
cnf(t20,plain,
( ~ p9(c28,c22)
| ~ p9(c27,c27)
| p9(f17(c28,c27),f17(c22,c27)) ),
inference(extension,[status(thm),parent(t18:2)],[p9_29]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p9(c27,c27),
inference(extension,[status(thm),parent(t20:2)],[p9_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
p9(c28,c22),
inference(extension,[status(thm),parent(t20:3)],[p9_6]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN628-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.03 % 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 : n015.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 07:09:19 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------