%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SYN717-1 : 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 : n009.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 09:10:56 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of clauses : 89 ( 69 unt; 0 nHn; 80 RR)
% Number of literals : 137 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_22,negated_conjecture,
p3(X89,X89),
file('theBenchmark.p',p3_22) ).
cnf(p28_23,negated_conjecture,
p28(X82,X82),
file('theBenchmark.p',p28_23) ).
cnf(p27_24,negated_conjecture,
p27(X75,X75),
file('theBenchmark.p',p27_24) ).
cnf(p26_25,negated_conjecture,
p26(X72,X72),
file('theBenchmark.p',p26_25) ).
cnf(p24_26,negated_conjecture,
p24(X65,X65),
file('theBenchmark.p',p24_26) ).
cnf(p22_28,negated_conjecture,
p22(X55,X55),
file('theBenchmark.p',p22_28) ).
cnf(p20_29,negated_conjecture,
p20(X48,X48),
file('theBenchmark.p',p20_29) ).
cnf(p19_31,negated_conjecture,
p19(X27,X27),
file('theBenchmark.p',p19_31) ).
cnf(p18_32,negated_conjecture,
p18(X24,X24),
file('theBenchmark.p',p18_32) ).
cnf(p23_36,negated_conjecture,
p23(c79,c77),
file('theBenchmark.p',p23_36) ).
cnf(p60_42,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
file('theBenchmark.p',p60_42) ).
cnf(p3_43,negated_conjecture,
p3(f15(f17(c70,c71),c69),c72),
file('theBenchmark.p',p3_43) ).
cnf(p59_44,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('theBenchmark.p',p59_44) ).
cnf(p3_67,negated_conjecture,
( ~ p3(X89,X91)
| ~ p3(X89,X90)
| p3(X90,X91) ),
file('theBenchmark.p',p3_67) ).
cnf(p59_83,negated_conjecture,
( ~ p28(X181,X179)
| ~ p59(X181,X182)
| ~ p3(X182,X180)
| p59(X179,X180) ),
file('theBenchmark.p',p59_83) ).
cnf(p60_84,negated_conjecture,
( ~ p20(X188,X187)
| ~ p60(X189,X188)
| ~ p24(X189,X186)
| p60(X186,X187) ),
file('theBenchmark.p',p60_84) ).
cnf(p20_92,negated_conjecture,
( ~ p19(X52,X54)
| ~ p18(X51,X53)
| p20(f21(X51,X52),f21(X53,X54)) ),
file('theBenchmark.p',p20_92) ).
cnf(p24_94,negated_conjecture,
( ~ p23(X69,X71)
| ~ p22(X68,X70)
| p24(f25(X68,X69),f25(X70,X71)) ),
file('theBenchmark.p',p24_94) ).
cnf(p28_96,negated_conjecture,
( ~ p27(X86,X88)
| ~ p26(X85,X87)
| p28(f29(X85,X86),f29(X87,X88)) ),
file('theBenchmark.p',p28_96) ).
cnf(not_p60_107,negated_conjecture,
( ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72)
| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p60(f25(c75,X209),f21(c76,X212)) ),
file('theBenchmark.p',not_p60_107) ).
cnf(t1,plain,
( ~ p59(f29(c73,f31(f33(c74,c77),c78)),c72)
| ~ p59(f29(c73,f31(f33(c74,c77),c78)),c72)
| ~ p60(f25(c75,c77),f21(c76,c78)) ),
inference(start,[status(thm),parent(0:0)],[not_p60_107]) ).
cnf(t2,plain,
( ~ p24(f25(c75,c79),f25(c75,c77))
| ~ p60(f25(c75,c79),f21(c76,c78))
| ~ p20(f21(c76,c78),f21(c76,c78))
| p60(f25(c75,c77),f21(c76,c78)) ),
inference(extension,[status(thm),parent(t1:1)],[p60_84]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ p18(c76,c76)
| ~ p19(c78,c78)
| p20(f21(c76,c78),f21(c76,c78)) ),
inference(extension,[status(thm),parent(t2:2)],[p20_92]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
p19(c78,c78),
inference(extension,[status(thm),parent(t4:2)],[p19_31]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
p18(c76,c76),
inference(extension,[status(thm),parent(t4:3)],[p18_32]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
( ~ p24(f25(c75,c79),f25(c75,c79))
| ~ p60(f25(c75,c79),f21(c76,c78))
| ~ p20(f21(c76,c78),f21(c76,c78))
| p60(f25(c75,c79),f21(c76,c78)) ),
inference(extension,[status(thm),parent(t2:3)],[p60_84]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
cnf(t12,plain,
p20(f21(c76,c78),f21(c76,c78)),
inference(extension,[status(thm),parent(t10:2)],[p20_29]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(extension,[status(thm),parent(t10:3)],[p60_42]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
p24(f25(c75,c79),f25(c75,c79)),
inference(extension,[status(thm),parent(t10:4)],[p24_26]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:4]) ).
cnf(t18,plain,
( ~ p22(c75,c75)
| ~ p23(c79,c77)
| p24(f25(c75,c79),f25(c75,c77)) ),
inference(extension,[status(thm),parent(t2:4)],[p24_94]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t2:4]) ).
cnf(t20,plain,
p23(c79,c77),
inference(extension,[status(thm),parent(t18:2)],[p23_36]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
p22(c75,c75),
inference(extension,[status(thm),parent(t18:3)],[p22_28]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
( ~ p3(c72,c72)
| ~ p59(f29(c73,f31(f33(c74,c77),c78)),c72)
| ~ p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78)))
| p59(f29(c73,f31(f33(c74,c77),c78)),c72) ),
inference(extension,[status(thm),parent(t1:2)],[p59_83]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t1:2]) ).
cnf(t26,plain,
( ~ p26(c73,c73)
| ~ p27(f31(f33(c74,c77),c78),f31(f33(c74,c77),c78))
| p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78))) ),
inference(extension,[status(thm),parent(t24:2)],[p28_96]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
p27(f31(f33(c74,c77),c78),f31(f33(c74,c77),c78)),
inference(extension,[status(thm),parent(t26:2)],[p27_24]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
p26(c73,c73),
inference(extension,[status(thm),parent(t26:3)],[p26_25]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ p3(c72,c72)
| ~ p59(f29(c73,f31(f33(c74,c77),c78)),c72)
| ~ p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78)))
| p59(f29(c73,f31(f33(c74,c77),c78)),c72) ),
inference(extension,[status(thm),parent(t24:3)],[p59_83]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t24:3]) ).
cnf(t34,plain,
p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78))),
inference(extension,[status(thm),parent(t32:2)],[p28_23]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(extension,[status(thm),parent(t32:3)],[p59_44]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
p3(c72,c72),
inference(extension,[status(thm),parent(t32:4)],[p3_22]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t32:4]) ).
cnf(t40,plain,
( ~ p3(f15(f17(c70,c71),c69),c72)
| ~ p3(f15(f17(c70,c71),c69),c72)
| p3(c72,c72) ),
inference(extension,[status(thm),parent(t24:4)],[p3_67]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t24:4]) ).
cnf(t42,plain,
p3(f15(f17(c70,c71),c69),c72),
inference(extension,[status(thm),parent(t40:2)],[p3_43]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(l21,lemma,
p3(f15(f17(c70,c71),c69),c72),
inference(lemma,[status(cth),parent(t40:2),below(t24:4)],[t40:2]) ).
cnf(t44,plain,
p3(f15(f17(c70,c71),c69),c72),
inference(lemma_extension,[status(thm),parent(t40:3)],[l21:1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t40:3]) ).
cnf(t46,plain,
( ~ p3(c72,c72)
| ~ p59(f29(c73,f31(f33(c74,c77),c78)),c72)
| ~ p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78)))
| p59(f29(c73,f31(f33(c74,c77),c78)),c72) ),
inference(extension,[status(thm),parent(t1:3)],[p59_83]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t1:3]) ).
cnf(t48,plain,
( ~ p26(c73,c73)
| ~ p27(f31(f33(c74,c77),c78),f31(f33(c74,c77),c78))
| p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78))) ),
inference(extension,[status(thm),parent(t46:2)],[p28_96]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
p27(f31(f33(c74,c77),c78),f31(f33(c74,c77),c78)),
inference(extension,[status(thm),parent(t48:2)],[p27_24]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
p26(c73,c73),
inference(extension,[status(thm),parent(t48:3)],[p26_25]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t48:3]) ).
cnf(t54,plain,
( ~ p3(c72,c72)
| ~ p59(f29(c73,f31(f33(c74,c77),c78)),c72)
| ~ p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78)))
| p59(f29(c73,f31(f33(c74,c77),c78)),c72) ),
inference(extension,[status(thm),parent(t46:3)],[p59_83]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t46:3]) ).
cnf(t56,plain,
p28(f29(c73,f31(f33(c74,c77),c78)),f29(c73,f31(f33(c74,c77),c78))),
inference(extension,[status(thm),parent(t54:2)],[p28_23]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(extension,[status(thm),parent(t54:3)],[p59_44]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t54:3]) ).
cnf(t60,plain,
p3(c72,c72),
inference(extension,[status(thm),parent(t54:4)],[p3_22]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t54:4]) ).
cnf(t62,plain,
( ~ p3(f15(f17(c70,c71),c69),c72)
| ~ p3(f15(f17(c70,c71),c69),c72)
| p3(c72,c72) ),
inference(extension,[status(thm),parent(t46:4)],[p3_67]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t46:4]) ).
cnf(t64,plain,
p3(f15(f17(c70,c71),c69),c72),
inference(extension,[status(thm),parent(t62:2)],[p3_43]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(l31,lemma,
p3(f15(f17(c70,c71),c69),c72),
inference(lemma,[status(cth),parent(t62:2),below(t46:4)],[t62:2]) ).
cnf(t66,plain,
p3(f15(f17(c70,c71),c69),c72),
inference(lemma_extension,[status(thm),parent(t62:3)],[l31:1]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t62:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.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 07:07:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------