TSTP Solution File: SYN717-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN717-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 2.05s 2.24s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 9 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(39,axiom,
( p60(A,B)
| ~ p24(C,A)
| ~ p60(C,D)
| ~ p20(D,B) ),
file('SYN717-1.p',unknown),
[] ).
cnf(49,axiom,
( p24(f25(A,B),f25(C,D))
| ~ p22(A,C)
| ~ p23(B,D) ),
file('SYN717-1.p',unknown),
[] ).
cnf(62,axiom,
( ~ p60(f25(c75,A),f21(c76,B))
| ~ p59(f29(c73,f31(f33(c74,C),B)),c72)
| ~ p59(f29(c73,f31(f33(c74,A),D)),c72) ),
file('SYN717-1.p',unknown),
[] ).
cnf(104,plain,
( ~ p60(f25(c75,A),f21(c76,B))
| ~ p59(f29(c73,f31(f33(c74,A),B)),c72) ),
inference(factor,[status(thm)],[62]),
[iquote('factor,62.2.3')] ).
cnf(132,axiom,
p22(A,A),
file('SYN717-1.p',unknown),
[] ).
cnf(133,axiom,
p20(A,A),
file('SYN717-1.p',unknown),
[] ).
cnf(140,axiom,
p23(c79,c77),
file('SYN717-1.p',unknown),
[] ).
cnf(146,axiom,
p60(f25(c75,c79),f21(c76,c78)),
file('SYN717-1.p',unknown),
[] ).
cnf(148,axiom,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('SYN717-1.p',unknown),
[] ).
cnf(151,plain,
p24(f25(A,c79),f25(A,c77)),
inference(hyper,[status(thm)],[140,49,132]),
[iquote('hyper,140,49,132')] ).
cnf(165,plain,
p60(f25(c75,c77),f21(c76,c78)),
inference(hyper,[status(thm)],[151,39,146,133]),
[iquote('hyper,151,39,146,133')] ).
cnf(185,plain,
$false,
inference(hyper,[status(thm)],[165,104,148]),
[iquote('hyper,165,104,148')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN717-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 11:45:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.05/2.24 ----- Otter 3.3f, August 2004 -----
% 2.05/2.24 The process was started by sandbox2 on n023.cluster.edu,
% 2.05/2.24 Wed Jul 27 11:45:18 2022
% 2.05/2.24 The command was "./otter". The process ID is 26820.
% 2.05/2.24
% 2.05/2.24 set(prolog_style_variables).
% 2.05/2.24 set(auto).
% 2.05/2.24 dependent: set(auto1).
% 2.05/2.24 dependent: set(process_input).
% 2.05/2.24 dependent: clear(print_kept).
% 2.05/2.24 dependent: clear(print_new_demod).
% 2.05/2.24 dependent: clear(print_back_demod).
% 2.05/2.24 dependent: clear(print_back_sub).
% 2.05/2.24 dependent: set(control_memory).
% 2.05/2.24 dependent: assign(max_mem, 12000).
% 2.05/2.24 dependent: assign(pick_given_ratio, 4).
% 2.05/2.24 dependent: assign(stats_level, 1).
% 2.05/2.24 dependent: assign(max_seconds, 10800).
% 2.05/2.24 clear(print_given).
% 2.05/2.24
% 2.05/2.24 list(usable).
% 2.05/2.24 0 [] p10(X0,X0).
% 2.05/2.24 0 [] p9(X202,X202).
% 2.05/2.24 0 [] p7(X195,X195).
% 2.05/2.24 0 [] p6(X183,X183).
% 2.05/2.24 0 [] p57(X176,X176).
% 2.05/2.24 0 [] p55(X169,X169).
% 2.05/2.24 0 [] p53(X162,X162).
% 2.05/2.24 0 [] p52(X159,X159).
% 2.05/2.24 0 [] p50(X156,X156).
% 2.05/2.24 0 [] p49(X153,X153).
% 2.05/2.24 0 [] p47(X146,X146).
% 2.05/2.24 0 [] p46(X143,X143).
% 2.05/2.24 0 [] p44(X136,X136).
% 2.05/2.24 0 [] p41(X133,X133).
% 2.05/2.24 0 [] p4(X122,X122).
% 2.05/2.24 0 [] p39(X115,X115).
% 2.05/2.24 0 [] p37(X112,X112).
% 2.05/2.24 0 [] p35(X109,X109).
% 2.05/2.24 0 [] p34(X106,X106).
% 2.05/2.24 0 [] p32(X103,X103).
% 2.05/2.24 0 [] p30(X96,X96).
% 2.05/2.24 0 [] p3(X89,X89).
% 2.05/2.24 0 [] p28(X82,X82).
% 2.05/2.24 0 [] p27(X75,X75).
% 2.05/2.24 0 [] p26(X72,X72).
% 2.05/2.24 0 [] p24(X65,X65).
% 2.05/2.24 0 [] p23(X58,X58).
% 2.05/2.24 0 [] p22(X55,X55).
% 2.05/2.24 0 [] p20(X48,X48).
% 2.05/2.24 0 [] p2(X45,X45).
% 2.05/2.24 0 [] p19(X27,X27).
% 2.05/2.24 0 [] p18(X24,X24).
% 2.05/2.24 0 [] p16(X21,X21).
% 2.05/2.24 0 [] p14(X14,X14).
% 2.05/2.24 0 [] p12(X11,X11).
% 2.05/2.24 0 [] p23(c79,c77).
% 2.05/2.24 0 [] p59(c64,c72).
% 2.05/2.24 0 [] p59(c64,c69).
% 2.05/2.24 0 [] p59(c64,c63).
% 2.05/2.24 0 [] p59(c62,c69).
% 2.05/2.24 0 [] p59(c62,c63).
% 2.05/2.24 0 [] p60(f25(c75,c79),f21(c76,c78)).
% 2.05/2.24 0 [] p3(f15(f17(c70,c71),c69),c72).
% 2.05/2.24 0 [] p59(f29(c73,f31(f33(c74,c77),c78)),c72).
% 2.05/2.24 0 [] -p4(f8(c65,f11(f13(c66,c63),c67)),c80).
% 2.05/2.24 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 2.05/2.24 0 [] p9(X203,X204)| -p9(X202,X203)| -p9(X202,X204).
% 2.05/2.24 0 [] p7(X196,X197)| -p7(X195,X196)| -p7(X195,X197).
% 2.05/2.24 0 [] p6(X184,X185)| -p6(X183,X184)| -p6(X183,X185).
% 2.05/2.24 0 [] p57(X177,X178)| -p57(X176,X177)| -p57(X176,X178).
% 2.05/2.24 0 [] p55(X170,X171)| -p55(X169,X170)| -p55(X169,X171).
% 2.05/2.24 0 [] p53(X163,X164)| -p53(X162,X163)| -p53(X162,X164).
% 2.05/2.24 0 [] p52(X160,X161)| -p52(X159,X160)| -p52(X159,X161).
% 2.05/2.24 0 [] p50(X157,X158)| -p50(X156,X157)| -p50(X156,X158).
% 2.05/2.24 0 [] p49(X154,X155)| -p49(X153,X154)| -p49(X153,X155).
% 2.05/2.24 0 [] p47(X147,X148)| -p47(X146,X147)| -p47(X146,X148).
% 2.05/2.24 0 [] p46(X144,X145)| -p46(X143,X144)| -p46(X143,X145).
% 2.05/2.24 0 [] p44(X137,X138)| -p44(X136,X137)| -p44(X136,X138).
% 2.05/2.24 0 [] p41(X134,X135)| -p41(X133,X134)| -p41(X133,X135).
% 2.05/2.24 0 [] p4(X123,X124)| -p4(X122,X123)| -p4(X122,X124).
% 2.05/2.24 0 [] p39(X116,X117)| -p39(X115,X116)| -p39(X115,X117).
% 2.05/2.24 0 [] p37(X113,X114)| -p37(X112,X113)| -p37(X112,X114).
% 2.05/2.24 0 [] p35(X110,X111)| -p35(X109,X110)| -p35(X109,X111).
% 2.05/2.24 0 [] p34(X107,X108)| -p34(X106,X107)| -p34(X106,X108).
% 2.05/2.24 0 [] p32(X104,X105)| -p32(X103,X104)| -p32(X103,X105).
% 2.05/2.24 0 [] p30(X97,X98)| -p30(X96,X97)| -p30(X96,X98).
% 2.05/2.24 0 [] p3(X90,X91)| -p3(X89,X90)| -p3(X89,X91).
% 2.05/2.24 0 [] p28(X83,X84)| -p28(X82,X83)| -p28(X82,X84).
% 2.05/2.24 0 [] p27(X76,X77)| -p27(X75,X76)| -p27(X75,X77).
% 2.05/2.24 0 [] p26(X73,X74)| -p26(X72,X73)| -p26(X72,X74).
% 2.05/2.24 0 [] p24(X66,X67)| -p24(X65,X66)| -p24(X65,X67).
% 2.05/2.24 0 [] p23(X59,X60)| -p23(X58,X59)| -p23(X58,X60).
% 2.05/2.24 0 [] p22(X56,X57)| -p22(X55,X56)| -p22(X55,X57).
% 2.05/2.24 0 [] p20(X49,X50)| -p20(X48,X49)| -p20(X48,X50).
% 2.05/2.24 0 [] p2(X46,X47)| -p2(X45,X46)| -p2(X45,X47).
% 2.05/2.24 0 [] p19(X28,X29)| -p19(X27,X28)| -p19(X27,X29).
% 2.05/2.24 0 [] p18(X25,X26)| -p18(X24,X25)| -p18(X24,X26).
% 2.05/2.24 0 [] p16(X22,X23)| -p16(X21,X22)| -p16(X21,X23).
% 2.05/2.24 0 [] p14(X15,X16)| -p14(X14,X15)| -p14(X14,X16).
% 2.05/2.24 0 [] p12(X12,X13)| -p12(X11,X12)| -p12(X11,X13).
% 2.05/2.24 0 [] p4(f8(c65,f11(f13(c66,c63),c67)),f5(c68,c69)).
% 2.05/2.24 0 [] p61(X190,X191)| -p53(X193,X190)| -p61(X193,X192)| -p10(X192,X191).
% 2.05/2.24 0 [] p59(X179,X180)| -p3(X182,X180)| -p59(X181,X182)| -p28(X181,X179).
% 2.05/2.24 0 [] p60(X186,X187)| -p24(X189,X186)| -p60(X189,X188)| -p20(X188,X187).
% 2.05/2.24 0 [] p9(f13(X205,X206),f13(X207,X208))| -p12(X205,X207)| -p3(X206,X208).
% 2.05/2.24 0 [] p10(f45(X3,X4),f45(X5,X6))| -p3(X4,X6)| -p44(X3,X5).
% 2.05/2.24 0 [] p10(f56(X7,X8),f56(X9,X10))| -p10(X8,X10)| -p55(X7,X9).
% 2.05/2.24 0 [] p14(f17(X17,X18),f17(X19,X20))| -p16(X17,X19)| -p3(X18,X20).
% 2.05/2.24 0 [] p19(f36(X30,X31),f36(X32,X33))| -p34(X30,X32)| -p35(X31,X33).
% 2.05/2.24 0 [] p19(f40(X34,X35),f40(X36,X37))| -p19(X35,X37)| -p39(X34,X36).
% 2.05/2.24 0 [] p19(f43(X41,X42),f43(X43,X44))| -p23(X42,X44)| -p35(X41,X43).
% 2.05/2.24 0 [] p20(f21(X51,X52),f21(X53,X54))| -p18(X51,X53)| -p19(X52,X54).
% 2.05/2.24 0 [] p23(f38(X61,X62),f38(X63,X64))| -p35(X62,X64)| -p37(X61,X63).
% 2.05/2.24 0 [] p24(f25(X68,X69),f25(X70,X71))| -p22(X68,X70)| -p23(X69,X71).
% 2.05/2.24 0 [] p27(f31(X78,X79),f31(X80,X81))| -p19(X79,X81)| -p30(X78,X80).
% 2.05/2.24 0 [] p28(f29(X85,X86),f29(X87,X88))| -p26(X85,X87)| -p27(X86,X88).
% 2.05/2.24 0 [] p3(f15(X92,X93),f15(X94,X95))| -p14(X92,X94)| -p3(X93,X95).
% 2.05/2.24 0 [] p30(f33(X99,X100),f33(X101,X102))| -p23(X100,X102)| -p32(X99,X101).
% 2.05/2.24 0 [] p39(f42(X118,X119),f42(X120,X121))| -p35(X119,X121)| -p41(X118,X120).
% 2.05/2.24 0 [] p4(f5(X125,X126),f5(X127,X128))| -p2(X125,X127)| -p3(X126,X128).
% 2.05/2.24 0 [] p4(f8(X129,X130),f8(X131,X132))| -p6(X129,X131)| -p7(X130,X132).
% 2.05/2.24 0 [] p44(f48(X139,X140),f48(X141,X142))| -p46(X139,X141)| -p47(X140,X142).
% 2.05/2.24 0 [] p47(f51(X149,X150),f51(X151,X152))| -p49(X149,X151)| -p50(X150,X152).
% 2.05/2.24 0 [] p53(f54(X165,X166),f54(X167,X168))| -p35(X166,X168)| -p52(X165,X167).
% 2.05/2.24 0 [] p55(f58(X172,X173),f58(X174,X175))| -p10(X173,X175)| -p57(X172,X174).
% 2.05/2.24 0 [] p7(f11(X198,X199),f11(X200,X201))| -p10(X199,X201)| -p9(X198,X200).
% 2.05/2.24 0 [] -p60(f25(c75,X209),f21(c76,X212))| -p59(f29(c73,f31(f33(c74,X211),X212)),c72)| -p59(f29(c73,f31(f33(c74,X209),X210)),c72).
% 2.05/2.24 0 [] p61(f54(c86,X194),f45(f48(c88,f51(c89,c90)),c69))| -p61(f54(c86,X194),f56(f58(c87,f45(f48(c88,f51(c89,c90)),c63)),c67)).
% 2.05/2.24 0 [] p61(f54(c86,X194),f56(f58(c87,f45(f48(c88,f51(c89,c90)),c63)),c67))| -p61(f54(c86,X194),f45(f48(c88,f51(c89,c90)),c69)).
% 2.05/2.24 0 [] p19(f43(X38,X39),f40(f42(c81,X38),X40))|p59(f29(c73,f31(f33(c74,f38(c82,X38)),f36(c83,X38))),c72)| -p59(f29(c73,f31(f33(c74,X39),X40)),c69).
% 2.05/2.24 0 [] p19(f43(X38,X39),f40(f42(c81,X38),X40))|p59(f29(c73,f31(f33(c74,f38(c84,X38)),f36(c85,X38))),c69)| -p59(f29(c73,f31(f33(c74,X39),X40)),c72).
% 2.05/2.24 0 [] p19(f43(X38,X39),f40(f42(c81,X38),X40))| -p59(f29(c73,f31(f33(c74,X39),X40)),c72)| -p19(f43(X38,f38(c84,X38)),f40(f42(c81,X38),f36(c85,X38))).
% 2.05/2.24 0 [] p19(f43(X38,X39),f40(f42(c81,X38),X40))| -p59(f29(c73,f31(f33(c74,X39),X40)),c69)| -p19(f43(X38,f38(c82,X38)),f40(f42(c81,X38),f36(c83,X38))).
% 2.05/2.24 end_of_list.
% 2.05/2.24
% 2.05/2.24 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 2.05/2.24
% 2.05/2.24 This is a non-Horn set without equality. The strategy will
% 2.05/2.24 be ordered hyper_res, unit deletion, and factoring, with
% 2.05/2.24 satellites in sos and with nuclei in usable.
% 2.05/2.24
% 2.05/2.24 dependent: set(hyper_res).
% 2.05/2.24 dependent: set(factor).
% 2.05/2.24 dependent: set(unit_deletion).
% 2.05/2.24
% 2.05/2.24 ------------> process usable:
% 2.05/2.24 ** KEPT (pick-wt=9): 1 [] -p4(f8(c65,f11(f13(c66,c63),c67)),c80).
% 2.05/2.24 ** KEPT (pick-wt=9): 2 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 3 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 4 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 5 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 6 [] p57(A,B)| -p57(C,A)| -p57(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 7 [] p55(A,B)| -p55(C,A)| -p55(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 8 [] p53(A,B)| -p53(C,A)| -p53(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 9 [] p52(A,B)| -p52(C,A)| -p52(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 10 [] p50(A,B)| -p50(C,A)| -p50(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 11 [] p49(A,B)| -p49(C,A)| -p49(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 12 [] p47(A,B)| -p47(C,A)| -p47(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 13 [] p46(A,B)| -p46(C,A)| -p46(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 14 [] p44(A,B)| -p44(C,A)| -p44(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 15 [] p41(A,B)| -p41(C,A)| -p41(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 16 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 17 [] p39(A,B)| -p39(C,A)| -p39(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 18 [] p37(A,B)| -p37(C,A)| -p37(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 19 [] p35(A,B)| -p35(C,A)| -p35(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 20 [] p34(A,B)| -p34(C,A)| -p34(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 21 [] p32(A,B)| -p32(C,A)| -p32(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 22 [] p30(A,B)| -p30(C,A)| -p30(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 23 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 24 [] p28(A,B)| -p28(C,A)| -p28(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 25 [] p27(A,B)| -p27(C,A)| -p27(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 26 [] p26(A,B)| -p26(C,A)| -p26(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 27 [] p24(A,B)| -p24(C,A)| -p24(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 28 [] p23(A,B)| -p23(C,A)| -p23(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 29 [] p22(A,B)| -p22(C,A)| -p22(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 30 [] p20(A,B)| -p20(C,A)| -p20(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 31 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 32 [] p19(A,B)| -p19(C,A)| -p19(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 33 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 34 [] p16(A,B)| -p16(C,A)| -p16(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 35 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 2.05/2.24 ** KEPT (pick-wt=9): 36 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 2.05/2.24 ** KEPT (pick-wt=12): 37 [] p61(A,B)| -p53(C,A)| -p61(C,D)| -p10(D,B).
% 2.05/2.24 ** KEPT (pick-wt=12): 38 [] p59(A,B)| -p3(C,B)| -p59(D,C)| -p28(D,A).
% 2.05/2.24 ** KEPT (pick-wt=12): 39 [] p60(A,B)| -p24(C,A)| -p60(C,D)| -p20(D,B).
% 2.05/2.24 ** KEPT (pick-wt=13): 40 [] p9(f13(A,B),f13(C,D))| -p12(A,C)| -p3(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 41 [] p10(f45(A,B),f45(C,D))| -p3(B,D)| -p44(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 42 [] p10(f56(A,B),f56(C,D))| -p10(B,D)| -p55(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 43 [] p14(f17(A,B),f17(C,D))| -p16(A,C)| -p3(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 44 [] p19(f36(A,B),f36(C,D))| -p34(A,C)| -p35(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 45 [] p19(f40(A,B),f40(C,D))| -p19(B,D)| -p39(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 46 [] p19(f43(A,B),f43(C,D))| -p23(B,D)| -p35(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 47 [] p20(f21(A,B),f21(C,D))| -p18(A,C)| -p19(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 48 [] p23(f38(A,B),f38(C,D))| -p35(B,D)| -p37(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 49 [] p24(f25(A,B),f25(C,D))| -p22(A,C)| -p23(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 50 [] p27(f31(A,B),f31(C,D))| -p19(B,D)| -p30(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 51 [] p28(f29(A,B),f29(C,D))| -p26(A,C)| -p27(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 52 [] p3(f15(A,B),f15(C,D))| -p14(A,C)| -p3(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 53 [] p30(f33(A,B),f33(C,D))| -p23(B,D)| -p32(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 54 [] p39(f42(A,B),f42(C,D))| -p35(B,D)| -p41(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 55 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 56 [] p4(f8(A,B),f8(C,D))| -p6(A,C)| -p7(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 57 [] p44(f48(A,B),f48(C,D))| -p46(A,C)| -p47(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 58 [] p47(f51(A,B),f51(C,D))| -p49(A,C)| -p50(B,D).
% 2.05/2.24 ** KEPT (pick-wt=13): 59 [] p53(f54(A,B),f54(C,D))| -p35(B,D)| -p52(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 60 [] p55(f58(A,B),f58(C,D))| -p10(B,D)| -p57(A,C).
% 2.05/2.24 ** KEPT (pick-wt=13): 61 [] p7(f11(A,B),f11(C,D))| -p10(B,D)| -p9(A,C).
% 2.05/2.24 ** KEPT (pick-wt=25): 62 [] -p60(f25(c75,A),f21(c76,B))| -p59(f29(c73,f31(f33(c74,C),B)),c72)| -p59(f29(c73,f31(f33(c74,A),D)),c72).
% 2.05/2.24 ** KEPT (pick-wt=26): 63 [] p61(f54(c86,A),f45(f48(c88,f51(c89,c90)),c69))| -p61(f54(c86,A),f56(f58(c87,f45(f48(c88,f51(c89,c90)),c63)),c67)).
% 2.05/2.24 ** KEPT (pick-wt=26): 64 [] p61(f54(c86,A),f56(f58(c87,f45(f48(c88,f51(c89,c90)),c63)),c67))| -p61(f54(c86,A),f45(f48(c88,f51(c89,c90)),c69)).
% 2.05/2.24 ** KEPT (pick-wt=31): 65 [] p19(f43(A,B),f40(f42(c81,A),C))|p59(f29(c73,f31(f33(c74,f38(c82,A)),f36(c83,A))),c72)| -p59(f29(c73,f31(f33(c74,B),C)),c69).
% 2.05/2.24 ** KEPT (pick-wt=31): 66 [] p19(f43(A,B),f40(f42(c81,A),C))|p59(f29(c73,f31(f33(c74,f38(c84,A)),f36(c85,A))),c69)| -p59(f29(c73,f31(f33(c74,B),C)),c72).
% 2.05/2.24 ** KEPT (pick-wt=31): 67 [] p19(f43(A,B),f40(f42(c81,A),C))| -p59(f29(c73,f31(f33(c74,B),C)),c72)| -p19(f43(A,f38(c84,A)),f40(f42(c81,A),f36(c85,A))).
% 2.05/2.24 ** KEPT (pick-wt=31): 68 [] p19(f43(A,B),f40(f42(c81,A),C))| -p59(f29(c73,f31(f33(c74,B),C)),c69)| -p19(f43(A,f38(c82,A)),f40(f42(c81,A),f36(c83,A))).
% 2.05/2.24
% 2.05/2.24 ------------> process sos:
% 2.05/2.24 ** KEPT (pick-wt=3): 105 [] p10(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 106 [] p9(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 107 [] p7(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 108 [] p6(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 109 [] p57(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 110 [] p55(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 111 [] p53(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 112 [] p52(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 113 [] p50(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 114 [] p49(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 115 [] p47(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 116 [] p46(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 117 [] p44(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 118 [] p41(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 119 [] p4(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 120 [] p39(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 121 [] p37(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 122 [] p35(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 123 [] p34(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 124 [] p32(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 125 [] p30(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 126 [] p3(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 127 [] p28(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 128 [] p27(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 129 [] p26(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 130 [] p24(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 131 [] p23(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 132 [] p22(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 133 [] p20(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 134 [] p2(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 135 [] p19(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 136 [] p18(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 137 [] p16(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 138 [] p14(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 139 [] p12(A,A).
% 2.05/2.24 ** KEPT (pick-wt=3): 140 [] p23(c79,c77).
% 2.05/2.24 ** KEPT (pick-wt=3): 141 [] p59(c64,c72).
% 2.05/2.24 ** KEPT (pick-wt=3): 142 [] p59(c64,c69).
% 2.05/2.24 ** KEPT (pick-wt=3): 143 [] p59(c64,c63).
% 2.05/2.24 ** KEPT (pick-wt=3): 144 [] p59(c62,c69).
% 2.05/2.24 ** KEPT (pick-wt=3): 145 [] p59(c62,c63).
% 2.05/2.24 ** KEPT (pick-wt=7): 146 [] p60(f25(c75,c79),f21(c76,c78)).
% 2.05/2.24 ** KEPT (pick-wt=7): 147 [] p3(f15(f17(c70,c71),c69),c72).
% 2.05/2.24 ** KEPT (pick-wt=9): 148 [] p59(f29(c73,f31(f33(c74,c77),c78)),c72).
% 2.05/2.24 ** KEPT (pick-wt=11): 149 [] p4(f8(c65,f11(f13(c66,c63),c67)),f5(c68,c69)).
% 2.05/2.24 105 back subsumes 69.
% 2.05/2.24 106 back subsumes 70.
% 2.05/2.24 107 back subsumes 71.
% 2.05/2.24 108 back subsumes 72.
% 2.05/2.24 109 back subsumes 73.
% 2.05/2.24 110 back subsumes 74.
% 2.05/2.24 111 back subsumes 75.
% 2.05/2.24 112 back subsumes 76.
% 2.05/2.24 113 back subsumes 77.
% 2.05/2.24 114 back subsumes 78.
% 2.05/2.24 115 back subsumes 79.
% 2.05/2.24 116 back subsumes 80.
% 2.05/2.24 117 back subsumes 81.
% 2.05/2.24 118 back subsumes 82.
% 2.05/2.24 119 back subsumes 83.
% 2.05/2.24 120 back subsumes 84.
% 2.05/2.24 121 back subsumes 85.
% 2.05/2.24 122 back subsumes 86.
% 2.05/2.24 123 back subsumes 87.
% 2.05/2.24 124 back subsumes 88.
% 2.05/2.24 125 back subsumes 89.
% 2.05/2.24 126 back subsumes 90.
% 2.05/2.24 127 back subsumes 91.
% 2.05/2.24 128 back subsumes 92.
% 2.05/2.24 129 back subsumes 93.
% 2.05/2.24 130 back subsumes 94.
% 2.05/2.24 131 back subsumes 95.
% 2.05/2.24 132 back subsumes 96.
% 2.05/2.24 133 back subsumes 97.
% 2.05/2.24 134 back subsumes 98.
% 2.05/2.24 135 back subsumes 99.
% 2.05/2.24 136 back subsumes 100.
% 2.05/2.24 137 back subsumes 101.
% 2.05/2.24 138 back subsumes 102.
% 2.05/2.24 139 back subsumes 103.
% 2.05/2.24
% 2.05/2.24 ======= end of input processing =======
% 2.05/2.24
% 2.05/2.24 =========== start of search ===========
% 2.05/2.24
% 2.05/2.24 -------- PROOF --------
% 2.05/2.24
% 2.05/2.24 -----> EMPTY CLAUSE at 0.01 sec ----> 185 [hyper,165,104,148] $F.
% 2.05/2.24
% 2.05/2.24 Length of proof is 3. Level of proof is 2.
% 2.05/2.24
% 2.05/2.24 ---------------- PROOF ----------------
% 2.05/2.24 % SZS status Unsatisfiable
% 2.05/2.24 % SZS output start Refutation
% See solution above
% 2.05/2.24 ------------ end of proof -------------
% 2.05/2.24
% 2.05/2.24
% 2.05/2.24 Search stopped by max_proofs option.
% 2.05/2.24
% 2.05/2.24
% 2.05/2.24 Search stopped by max_proofs option.
% 2.05/2.24
% 2.05/2.24 ============ end of search ============
% 2.05/2.24
% 2.05/2.24 -------------- statistics -------------
% 2.05/2.24 clauses given 54
% 2.05/2.24 clauses generated 212
% 2.05/2.24 clauses kept 184
% 2.05/2.24 clauses forward subsumed 140
% 2.05/2.24 clauses back subsumed 35
% 2.05/2.24 Kbytes malloced 2929
% 2.05/2.24
% 2.05/2.24 ----------- times (seconds) -----------
% 2.05/2.24 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.05/2.24 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.05/2.24 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.05/2.24
% 2.05/2.24 That finishes the proof of the theorem.
% 2.05/2.24
% 2.05/2.24 Process 26820 finished Wed Jul 27 11:45:20 2022
% 2.05/2.24 Otter interrupted
% 2.05/2.24 PROOF FOUND
%------------------------------------------------------------------------------