%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN715-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:25:10 EDT 2022
% Result : Unsatisfiable 2.13s 2.26s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 35 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
( p62(A,B)
| ~ p4(C,A)
| ~ p62(C,D)
| ~ p27(D,B) ),
file('SYN715-1.p',unknown),
[] ).
cnf(52,axiom,
( p4(f5(A,B),f5(C,D))
| ~ p2(A,C)
| ~ p3(B,D) ),
file('SYN715-1.p',unknown),
[] ).
cnf(63,axiom,
( p62(A,B)
| ~ p62(f5(c64,f16(f19(f21(c66,A),C),D)),B) ),
file('SYN715-1.p',unknown),
[] ).
cnf(66,axiom,
( p63(f24(f26(f30(c73,A),B),C),D)
| ~ p63(f24(f26(f30(c73,C),D),A),B) ),
file('SYN715-1.p',unknown),
[] ).
cnf(67,axiom,
( ~ p63(f24(f26(f30(c73,A),B),f31(C,D)),f28(E,D))
| ~ p62(f33(f35(f37(f39(f41(c74,F),C),E),A),B),D) ),
file('SYN715-1.p',unknown),
[] ).
cnf(92,axiom,
p27(A,A),
file('SYN715-1.p',unknown),
[] ).
cnf(97,axiom,
p2(A,A),
file('SYN715-1.p',unknown),
[] ).
cnf(103,axiom,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
file('SYN715-1.p',unknown),
[] ).
cnf(104,axiom,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('SYN715-1.p',unknown),
[] ).
cnf(105,axiom,
p3(f8(f11(f13(c65,f16(f19(f21(c66,A),B),C)),D),E),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,A),B),C),D),E)),f43(f45(f47(f49(f51(c75,A),B),C),D),E)),f53(f55(f57(f59(f61(c76,A),B),C),D),E))),
file('SYN715-1.p',unknown),
[] ).
cnf(106,plain,
p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(hyper,[status(thm)],[103,66]),
[iquote('hyper,103,66')] ).
cnf(112,plain,
p4(f5(A,f8(f11(f13(c65,f16(f19(f21(c66,B),C),D)),E),F)),f5(A,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,B),C),D),E),F)),f43(f45(f47(f49(f51(c75,B),C),D),E),F)),f53(f55(f57(f59(f61(c76,B),C),D),E),F)))),
inference(hyper,[status(thm)],[105,52,97]),
[iquote('hyper,105,52,97')] ).
cnf(121,plain,
p62(f5(c64,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72),
inference(hyper,[status(thm)],[112,34,104,92]),
[iquote('hyper,112,34,104,92')] ).
cnf(123,plain,
p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72),
inference(hyper,[status(thm)],[121,63]),
[iquote('hyper,121,63')] ).
cnf(126,plain,
$false,
inference(hyper,[status(thm)],[123,67,106]),
[iquote('hyper,123,67,106')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN715-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 11:18:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.08/2.26 ----- Otter 3.3f, August 2004 -----
% 2.08/2.26 The process was started by sandbox on n025.cluster.edu,
% 2.08/2.26 Wed Jul 27 11:18:45 2022
% 2.08/2.26 The command was "./otter". The process ID is 23360.
% 2.08/2.26
% 2.08/2.26 set(prolog_style_variables).
% 2.08/2.26 set(auto).
% 2.08/2.26 dependent: set(auto1).
% 2.08/2.26 dependent: set(process_input).
% 2.08/2.26 dependent: clear(print_kept).
% 2.08/2.26 dependent: clear(print_new_demod).
% 2.08/2.26 dependent: clear(print_back_demod).
% 2.08/2.26 dependent: clear(print_back_sub).
% 2.08/2.26 dependent: set(control_memory).
% 2.08/2.26 dependent: assign(max_mem, 12000).
% 2.08/2.26 dependent: assign(pick_given_ratio, 4).
% 2.08/2.26 dependent: assign(stats_level, 1).
% 2.08/2.26 dependent: assign(max_seconds, 10800).
% 2.08/2.26 clear(print_given).
% 2.08/2.26
% 2.08/2.26 list(usable).
% 2.08/2.26 0 [] p10(X0,X0).
% 2.08/2.26 0 [] p9(X222,X222).
% 2.08/2.26 0 [] p7(X215,X215).
% 2.08/2.26 0 [] p60(X196,X196).
% 2.08/2.26 0 [] p6(X189,X189).
% 2.08/2.26 0 [] p58(X182,X182).
% 2.08/2.26 0 [] p56(X175,X175).
% 2.08/2.26 0 [] p54(X168,X168).
% 2.08/2.26 0 [] p52(X161,X161).
% 2.08/2.26 0 [] p50(X158,X158).
% 2.08/2.26 0 [] p48(X151,X151).
% 2.08/2.26 0 [] p46(X144,X144).
% 2.08/2.26 0 [] p44(X137,X137).
% 2.08/2.26 0 [] p42(X130,X130).
% 2.08/2.26 0 [] p40(X127,X127).
% 2.08/2.26 0 [] p4(X116,X116).
% 2.08/2.26 0 [] p38(X109,X109).
% 2.08/2.26 0 [] p36(X102,X102).
% 2.08/2.26 0 [] p34(X95,X95).
% 2.08/2.26 0 [] p32(X88,X88).
% 2.08/2.26 0 [] p3(X77,X77).
% 2.08/2.26 0 [] p29(X74,X74).
% 2.08/2.26 0 [] p27(X71,X71).
% 2.08/2.26 0 [] p25(X64,X64).
% 2.08/2.26 0 [] p23(X57,X57).
% 2.08/2.26 0 [] p22(X50,X50).
% 2.08/2.26 0 [] p20(X47,X47).
% 2.08/2.26 0 [] p2(X44,X44).
% 2.08/2.26 0 [] p18(X37,X37).
% 2.08/2.26 0 [] p17(X30,X30).
% 2.08/2.26 0 [] p15(X23,X23).
% 2.08/2.26 0 [] p14(X16,X16).
% 2.08/2.26 0 [] p12(X13,X13).
% 2.08/2.26 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 2.08/2.26 0 [] p9(X223,X224)| -p9(X222,X223)| -p9(X222,X224).
% 2.08/2.26 0 [] p7(X216,X217)| -p7(X215,X216)| -p7(X215,X217).
% 2.08/2.26 0 [] p60(X197,X198)| -p60(X196,X197)| -p60(X196,X198).
% 2.08/2.26 0 [] p6(X190,X191)| -p6(X189,X190)| -p6(X189,X191).
% 2.08/2.26 0 [] p58(X183,X184)| -p58(X182,X183)| -p58(X182,X184).
% 2.08/2.26 0 [] p56(X176,X177)| -p56(X175,X176)| -p56(X175,X177).
% 2.08/2.26 0 [] p54(X169,X170)| -p54(X168,X169)| -p54(X168,X170).
% 2.08/2.26 0 [] p52(X162,X163)| -p52(X161,X162)| -p52(X161,X163).
% 2.08/2.26 0 [] p50(X159,X160)| -p50(X158,X159)| -p50(X158,X160).
% 2.08/2.26 0 [] p48(X152,X153)| -p48(X151,X152)| -p48(X151,X153).
% 2.08/2.26 0 [] p46(X145,X146)| -p46(X144,X145)| -p46(X144,X146).
% 2.08/2.26 0 [] p44(X138,X139)| -p44(X137,X138)| -p44(X137,X139).
% 2.08/2.26 0 [] p42(X131,X132)| -p42(X130,X131)| -p42(X130,X132).
% 2.08/2.26 0 [] p40(X128,X129)| -p40(X127,X128)| -p40(X127,X129).
% 2.08/2.26 0 [] p4(X117,X118)| -p4(X116,X117)| -p4(X116,X118).
% 2.08/2.26 0 [] p38(X110,X111)| -p38(X109,X110)| -p38(X109,X111).
% 2.08/2.26 0 [] p36(X103,X104)| -p36(X102,X103)| -p36(X102,X104).
% 2.08/2.26 0 [] p34(X96,X97)| -p34(X95,X96)| -p34(X95,X97).
% 2.08/2.26 0 [] p32(X89,X90)| -p32(X88,X89)| -p32(X88,X90).
% 2.08/2.26 0 [] p3(X78,X79)| -p3(X77,X78)| -p3(X77,X79).
% 2.08/2.26 0 [] p29(X75,X76)| -p29(X74,X75)| -p29(X74,X76).
% 2.08/2.26 0 [] p27(X72,X73)| -p27(X71,X72)| -p27(X71,X73).
% 2.08/2.26 0 [] p25(X65,X66)| -p25(X64,X65)| -p25(X64,X66).
% 2.08/2.26 0 [] p23(X58,X59)| -p23(X57,X58)| -p23(X57,X59).
% 2.08/2.26 0 [] p22(X51,X52)| -p22(X50,X51)| -p22(X50,X52).
% 2.08/2.26 0 [] p20(X48,X49)| -p20(X47,X48)| -p20(X47,X49).
% 2.08/2.26 0 [] p2(X45,X46)| -p2(X44,X45)| -p2(X44,X46).
% 2.08/2.26 0 [] p18(X38,X39)| -p18(X37,X38)| -p18(X37,X39).
% 2.08/2.26 0 [] p17(X31,X32)| -p17(X30,X31)| -p17(X30,X32).
% 2.08/2.26 0 [] p15(X24,X25)| -p15(X23,X24)| -p15(X23,X25).
% 2.08/2.26 0 [] p14(X17,X18)| -p14(X16,X17)| -p14(X16,X18).
% 2.08/2.26 0 [] p12(X14,X15)| -p12(X13,X14)| -p12(X13,X15).
% 2.08/2.26 0 [] p62(X199,X200)| -p4(X202,X199)| -p62(X202,X201)| -p27(X201,X200).
% 2.08/2.26 0 [] p63(X207,X208)| -p63(X209,X210)| -p7(X210,X208)| -p23(X209,X207).
% 2.08/2.26 0 [] p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71).
% 2.08/2.26 0 [] p9(f13(X225,X226),f13(X227,X228))| -p12(X225,X227)| -p3(X226,X228).
% 2.08/2.26 0 [] p10(f31(X3,X4),f31(X5,X6))| -p18(X3,X5)| -p27(X4,X6).
% 2.08/2.26 0 [] p14(f19(X19,X20),f19(X21,X22))| -p17(X19,X21)| -p18(X20,X22).
% 2.08/2.26 0 [] p15(f53(X26,X27),f53(X28,X29))| -p52(X26,X28)| -p7(X27,X29).
% 2.08/2.26 0 [] p17(f21(X33,X34),f21(X35,X36))| -p20(X33,X35)| -p4(X34,X36).
% 2.08/2.26 0 [] p18(f43(X40,X41),f43(X42,X43))| -p42(X40,X42)| -p7(X41,X43).
% 2.08/2.26 0 [] p22(f26(X53,X54),f26(X55,X56))| -p25(X53,X55)| -p7(X54,X56).
% 2.08/2.26 0 [] p23(f24(X60,X61),f24(X62,X63))| -p10(X61,X63)| -p22(X60,X62).
% 2.08/2.26 0 [] p25(f30(X67,X68),f30(X69,X70))| -p10(X68,X70)| -p29(X67,X69).
% 2.08/2.26 0 [] p3(f16(X80,X81),f16(X82,X83))| -p14(X80,X82)| -p15(X81,X83).
% 2.08/2.26 0 [] p3(f8(X84,X85),f8(X86,X87))| -p6(X84,X86)| -p7(X85,X87).
% 2.08/2.26 0 [] p32(f35(X91,X92),f35(X93,X94))| -p10(X92,X94)| -p34(X91,X93).
% 2.08/2.26 0 [] p34(f37(X98,X99),f37(X100,X101))| -p15(X99,X101)| -p36(X98,X100).
% 2.08/2.26 0 [] p36(f39(X105,X106),f39(X107,X108))| -p18(X106,X108)| -p38(X105,X107).
% 2.08/2.26 0 [] p38(f41(X112,X113),f41(X114,X115))| -p4(X113,X115)| -p40(X112,X114).
% 2.08/2.26 0 [] p4(f33(X119,X120),f33(X121,X122))| -p32(X119,X121)| -p7(X120,X122).
% 2.08/2.26 0 [] p4(f5(X123,X124),f5(X125,X126))| -p2(X123,X125)| -p3(X124,X126).
% 2.08/2.26 0 [] p42(f45(X133,X134),f45(X135,X136))| -p10(X134,X136)| -p44(X133,X135).
% 2.08/2.26 0 [] p44(f47(X140,X141),f47(X142,X143))| -p15(X141,X143)| -p46(X140,X142).
% 2.08/2.26 0 [] p46(f49(X147,X148),f49(X149,X150))| -p18(X148,X150)| -p48(X147,X149).
% 2.08/2.26 0 [] p48(f51(X154,X155),f51(X156,X157))| -p4(X155,X157)| -p50(X154,X156).
% 2.08/2.26 0 [] p52(f55(X164,X165),f55(X166,X167))| -p10(X165,X167)| -p54(X164,X166).
% 2.08/2.26 0 [] p54(f57(X171,X172),f57(X173,X174))| -p15(X172,X174)| -p56(X171,X173).
% 2.08/2.26 0 [] p56(f59(X178,X179),f59(X180,X181))| -p18(X179,X181)| -p58(X178,X180).
% 2.08/2.26 0 [] p58(f61(X185,X186),f61(X187,X188))| -p4(X186,X188)| -p60(X185,X187).
% 2.08/2.26 0 [] p6(f11(X192,X193),f11(X194,X195))| -p10(X193,X195)| -p9(X192,X194).
% 2.08/2.26 0 [] p7(f28(X218,X219),f28(X220,X221))| -p15(X218,X220)| -p27(X219,X221).
% 2.08/2.26 0 [] p62(X203,X204)| -p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204).
% 2.08/2.26 0 [] p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)| -p62(X203,X204).
% 2.08/2.26 0 [] p62(X7,X12)| -p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12).
% 2.08/2.26 0 [] p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72).
% 2.08/2.26 0 [] p63(f24(f26(f30(c73,X213),X214),X211),X212)| -p63(f24(f26(f30(c73,X211),X212),X213),X214).
% 2.08/2.26 0 [] p63(f24(f26(f30(c73,X211),X212),X213),X214)| -p63(f24(f26(f30(c73,X213),X214),X211),X212).
% 2.08/2.26 0 [] -p63(f24(f26(f30(c73,X10),X11),f31(X8,X12)),f28(X9,X12))| -p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12).
% 2.08/2.26 0 [] p10(f31(f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11),X12),f31(X8,X12))| -p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12).
% 2.08/2.26 0 [] p7(f28(f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11),X12),f28(X9,X12))| -p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12).
% 2.08/2.26 0 [] p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))).
% 2.08/2.26 end_of_list.
% 2.08/2.26
% 2.08/2.26 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 2.08/2.26
% 2.08/2.26 This is a Horn set without equality. The strategy will
% 2.08/2.26 be hyperresolution, with satellites in sos and nuclei
% 2.08/2.26 in usable.
% 2.08/2.26
% 2.08/2.26 dependent: set(hyper_res).
% 2.08/2.26 dependent: clear(order_hyper).
% 2.08/2.26
% 2.08/2.26 ------------> process usable:
% 2.08/2.26 ** KEPT (pick-wt=9): 1 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 2 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 3 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 4 [] p60(A,B)| -p60(C,A)| -p60(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 5 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 6 [] p58(A,B)| -p58(C,A)| -p58(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 7 [] p56(A,B)| -p56(C,A)| -p56(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 8 [] p54(A,B)| -p54(C,A)| -p54(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 9 [] p52(A,B)| -p52(C,A)| -p52(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 10 [] p50(A,B)| -p50(C,A)| -p50(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 11 [] p48(A,B)| -p48(C,A)| -p48(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 12 [] p46(A,B)| -p46(C,A)| -p46(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 13 [] p44(A,B)| -p44(C,A)| -p44(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 14 [] p42(A,B)| -p42(C,A)| -p42(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 15 [] p40(A,B)| -p40(C,A)| -p40(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 16 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 17 [] p38(A,B)| -p38(C,A)| -p38(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 18 [] p36(A,B)| -p36(C,A)| -p36(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 19 [] p34(A,B)| -p34(C,A)| -p34(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 20 [] p32(A,B)| -p32(C,A)| -p32(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 21 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 22 [] p29(A,B)| -p29(C,A)| -p29(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 23 [] p27(A,B)| -p27(C,A)| -p27(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 24 [] p25(A,B)| -p25(C,A)| -p25(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 25 [] p23(A,B)| -p23(C,A)| -p23(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 26 [] p22(A,B)| -p22(C,A)| -p22(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 27 [] p20(A,B)| -p20(C,A)| -p20(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 28 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 29 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 30 [] p17(A,B)| -p17(C,A)| -p17(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 31 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 32 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 2.08/2.26 ** KEPT (pick-wt=9): 33 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 2.08/2.26 ** KEPT (pick-wt=12): 34 [] p62(A,B)| -p4(C,A)| -p62(C,D)| -p27(D,B).
% 2.08/2.26 ** KEPT (pick-wt=12): 35 [] p63(A,B)| -p63(C,D)| -p7(D,B)| -p23(C,A).
% 2.08/2.26 ** KEPT (pick-wt=13): 36 [] p9(f13(A,B),f13(C,D))| -p12(A,C)| -p3(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 37 [] p10(f31(A,B),f31(C,D))| -p18(A,C)| -p27(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 38 [] p14(f19(A,B),f19(C,D))| -p17(A,C)| -p18(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 39 [] p15(f53(A,B),f53(C,D))| -p52(A,C)| -p7(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 40 [] p17(f21(A,B),f21(C,D))| -p20(A,C)| -p4(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 41 [] p18(f43(A,B),f43(C,D))| -p42(A,C)| -p7(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 42 [] p22(f26(A,B),f26(C,D))| -p25(A,C)| -p7(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 43 [] p23(f24(A,B),f24(C,D))| -p10(B,D)| -p22(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 44 [] p25(f30(A,B),f30(C,D))| -p10(B,D)| -p29(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 45 [] p3(f16(A,B),f16(C,D))| -p14(A,C)| -p15(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 46 [] p3(f8(A,B),f8(C,D))| -p6(A,C)| -p7(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 47 [] p32(f35(A,B),f35(C,D))| -p10(B,D)| -p34(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 48 [] p34(f37(A,B),f37(C,D))| -p15(B,D)| -p36(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 49 [] p36(f39(A,B),f39(C,D))| -p18(B,D)| -p38(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 50 [] p38(f41(A,B),f41(C,D))| -p4(B,D)| -p40(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 51 [] p4(f33(A,B),f33(C,D))| -p32(A,C)| -p7(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 52 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 2.08/2.26 ** KEPT (pick-wt=13): 53 [] p42(f45(A,B),f45(C,D))| -p10(B,D)| -p44(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 54 [] p44(f47(A,B),f47(C,D))| -p15(B,D)| -p46(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 55 [] p46(f49(A,B),f49(C,D))| -p18(B,D)| -p48(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 56 [] p48(f51(A,B),f51(C,D))| -p4(B,D)| -p50(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 57 [] p52(f55(A,B),f55(C,D))| -p10(B,D)| -p54(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 58 [] p54(f57(A,B),f57(C,D))| -p15(B,D)| -p56(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 59 [] p56(f59(A,B),f59(C,D))| -p18(B,D)| -p58(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 60 [] p58(f61(A,B),f61(C,D))| -p4(B,D)| -p60(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 61 [] p6(f11(A,B),f11(C,D))| -p10(B,D)| -p9(A,C).
% 2.08/2.26 ** KEPT (pick-wt=13): 62 [] p7(f28(A,B),f28(C,D))| -p15(A,C)| -p27(B,D).
% 2.08/2.26 ** KEPT (pick-wt=14): 63 [] p62(A,B)| -p62(f5(c64,f16(f19(f21(c66,A),C),D)),B).
% 2.08/2.26 ** KEPT (pick-wt=14): 64 [] p62(f5(c64,f16(f19(f21(c66,A),B),C)),D)| -p62(A,D).
% 2.08/2.26 ** KEPT (pick-wt=16): 65 [] p62(A,B)| -p62(f33(f35(f37(f39(f41(c74,A),C),D),E),F),B).
% 2.08/2.26 ** KEPT (pick-wt=18): 66 [] p63(f24(f26(f30(c73,A),B),C),D)| -p63(f24(f26(f30(c73,C),D),A),B).
% 2.08/2.26 Following clause subsumed by 66 during input processing: 0 [] p63(f24(f26(f30(c73,A),B),C),D)| -p63(f24(f26(f30(c73,C),D),A),B).
% 2.08/2.26 ** KEPT (pick-wt=26): 67 [] -p63(f24(f26(f30(c73,A),B),f31(C,D)),f28(E,D))| -p62(f33(f35(f37(f39(f41(c74,F),C),E),A),B),D).
% 2.08/2.26 ** KEPT (pick-wt=30): 68 [] p10(f31(f43(f45(f47(f49(f51(c75,A),B),C),D),E),F),f31(B,F))| -p62(f33(f35(f37(f39(f41(c74,A),B),C),D),E),F).
% 2.08/2.26 ** KEPT (pick-wt=30): 69 [] p7(f28(f53(f55(f57(f59(f61(c76,A),B),C),D),E),F),f28(C,F))| -p62(f33(f35(f37(f39(f41(c74,A),B),C),D),E),F).
% 2.08/2.26
% 2.08/2.26 ------------> process sos:
% 2.08/2.26 ** KEPT (pick-wt=3): 70 [] p10(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 71 [] p9(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 72 [] p7(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 73 [] p60(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 74 [] p6(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 75 [] p58(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 76 [] p56(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 77 [] p54(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 78 [] p52(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 79 [] p50(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 80 [] p48(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 81 [] p46(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 82 [] p44(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 83 [] p42(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 84 [] p40(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 85 [] p4(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 86 [] p38(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 87 [] p36(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 88 [] p34(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 89 [] p32(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 90 [] p3(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 91 [] p29(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 92 [] p27(A,A).
% 2.08/2.26 ** KEPT (pick-wt=3): 93 [] p25(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 94 [] p23(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 95 [] p22(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 96 [] p20(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 97 [] p2(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 98 [] p18(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 99 [] p17(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 100 [] p15(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 101 [] p14(A,A).
% 2.13/2.26 ** KEPT (pick-wt=3): 102 [] p12(A,A).
% 2.13/2.26 ** KEPT (pick-wt=13): 103 [] p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71).
% 2.13/2.26 ** KEPT (pick-wt=17): 104 [] p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72).
% 2.13/2.26 ** KEPT (pick-wt=51): 105 [] p3(f8(f11(f13(c65,f16(f19(f21(c66,A),B),C)),D),E),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,A),B),C),D),E)),f43(f45(f47(f49(f51(c75,A),B),C),D),E)),f53(f55(f57(f59(f61(c76,A),B),C),D),E))).
% 2.13/2.26
% 2.13/2.26 ======= end of input processing =======
% 2.13/2.26
% 2.13/2.26 =========== start of search ===========
% 2.13/2.26
% 2.13/2.26 -------- PROOF --------
% 2.13/2.26
% 2.13/2.26 -----> EMPTY CLAUSE at 0.01 sec ----> 126 [hyper,123,67,106] $F.
% 2.13/2.26
% 2.13/2.26 Length of proof is 4. Level of proof is 3.
% 2.13/2.26
% 2.13/2.26 ---------------- PROOF ----------------
% 2.13/2.26 % SZS status Unsatisfiable
% 2.13/2.26 % SZS output start Refutation
% See solution above
% 2.13/2.26 ------------ end of proof -------------
% 2.13/2.26
% 2.13/2.26
% 2.13/2.26 Search stopped by max_proofs option.
% 2.13/2.26
% 2.13/2.26
% 2.13/2.26 Search stopped by max_proofs option.
% 2.13/2.26
% 2.13/2.26 ============ end of search ============
% 2.13/2.26
% 2.13/2.26 -------------- statistics -------------
% 2.13/2.26 clauses given 45
% 2.13/2.26 clauses generated 138
% 2.13/2.26 clauses kept 125
% 2.13/2.26 clauses forward subsumed 118
% 2.13/2.26 clauses back subsumed 0
% 2.13/2.26 Kbytes malloced 3906
% 2.13/2.26
% 2.13/2.26 ----------- times (seconds) -----------
% 2.13/2.26 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.13/2.26 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.13/2.26 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.13/2.26
% 2.13/2.26 That finishes the proof of the theorem.
% 2.13/2.26
% 2.13/2.26 Process 23360 finished Wed Jul 27 11:18:47 2022
% 2.13/2.26 Otter interrupted
% 2.13/2.26 PROOF FOUND
%------------------------------------------------------------------------------