TSTP Solution File: SYN672-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN672-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:25:06 EDT 2022
% Result : Unsatisfiable 1.98s 2.18s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 11 unt; 1 nHn; 11 RR)
% Number of literals : 23 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p3(c40,f14(c38,c39)),
file('SYN672-1.p',unknown),
[] ).
cnf(20,axiom,
( p30(A,B)
| ~ p30(C,D)
| ~ p9(C,A)
| ~ p3(D,B) ),
file('SYN672-1.p',unknown),
[] ).
cnf(21,axiom,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('SYN672-1.p',unknown),
[] ).
cnf(23,axiom,
( p9(f10(A,B),f10(C,D))
| ~ p3(B,D)
| ~ p8(A,C) ),
file('SYN672-1.p',unknown),
[] ).
cnf(33,axiom,
( p3(A,f14(c38,B))
| p30(f10(f12(c32,c33),f14(c38,B)),A)
| ~ p31(f20(c36,B),f17(c37,A)) ),
file('SYN672-1.p',unknown),
[] ).
cnf(34,axiom,
( p30(f10(f12(c32,c33),f4(f7(c34,c35),A)),f4(f7(c34,c35),B))
| ~ p30(f10(f12(c32,c33),A),B) ),
file('SYN672-1.p',unknown),
[] ).
cnf(54,axiom,
p8(A,A),
file('SYN672-1.p',unknown),
[] ).
cnf(57,axiom,
p3(A,A),
file('SYN672-1.p',unknown),
[] ).
cnf(69,axiom,
p31(f20(c36,c39),f17(c37,c40)),
file('SYN672-1.p',unknown),
[] ).
cnf(70,axiom,
p3(f4(f7(c34,A),f14(c38,B)),f14(A,B)),
file('SYN672-1.p',unknown),
[] ).
cnf(72,plain,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[69,33]),1]),
[iquote('hyper,69,33,unit_del,1')] ).
cnf(73,plain,
p30(f10(f12(c32,c33),f4(f7(c34,c35),f14(c38,c39))),f4(f7(c34,c35),c40)),
inference(hyper,[status(thm)],[72,34]),
[iquote('hyper,72,34')] ).
cnf(75,plain,
p9(f10(A,f4(f7(c34,B),f14(c38,C))),f10(A,f14(B,C))),
inference(hyper,[status(thm)],[70,23,54]),
[iquote('hyper,70,23,54')] ).
cnf(89,plain,
p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
inference(hyper,[status(thm)],[73,20,75,57]),
[iquote('hyper,73,20,75,57')] ).
cnf(90,plain,
$false,
inference(binary,[status(thm)],[89,21]),
[iquote('binary,89.1,21.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN672-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n020.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 11:17:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.98/2.18 ----- Otter 3.3f, August 2004 -----
% 1.98/2.18 The process was started by sandbox2 on n020.cluster.edu,
% 1.98/2.18 Wed Jul 27 11:17:53 2022
% 1.98/2.18 The command was "./otter". The process ID is 3051.
% 1.98/2.18
% 1.98/2.18 set(prolog_style_variables).
% 1.98/2.18 set(auto).
% 1.98/2.18 dependent: set(auto1).
% 1.98/2.18 dependent: set(process_input).
% 1.98/2.18 dependent: clear(print_kept).
% 1.98/2.18 dependent: clear(print_new_demod).
% 1.98/2.18 dependent: clear(print_back_demod).
% 1.98/2.18 dependent: clear(print_back_sub).
% 1.98/2.18 dependent: set(control_memory).
% 1.98/2.18 dependent: assign(max_mem, 12000).
% 1.98/2.18 dependent: assign(pick_given_ratio, 4).
% 1.98/2.18 dependent: assign(stats_level, 1).
% 1.98/2.18 dependent: assign(max_seconds, 10800).
% 1.98/2.18 clear(print_given).
% 1.98/2.18
% 1.98/2.18 list(usable).
% 1.98/2.18 0 [] p11(X0,X0).
% 1.98/2.18 0 [] p9(X105,X105).
% 1.98/2.18 0 [] p8(X98,X98).
% 1.98/2.18 0 [] p6(X95,X95).
% 1.98/2.18 0 [] p5(X92,X92).
% 1.98/2.18 0 [] p3(X62,X62).
% 1.98/2.18 0 [] p28(X57,X57).
% 1.98/2.18 0 [] p26(X54,X54).
% 1.98/2.18 0 [] p24(X47,X47).
% 1.98/2.18 0 [] p22(X40,X40).
% 1.98/2.18 0 [] p21(X33,X33).
% 1.98/2.18 0 [] p2(X26,X26).
% 1.98/2.18 0 [] p19(X19,X19).
% 1.98/2.18 0 [] p18(X16,X16).
% 1.98/2.18 0 [] p16(X9,X9).
% 1.98/2.18 0 [] p15(X6,X6).
% 1.98/2.18 0 [] p13(X3,X3).
% 1.98/2.18 0 [] -p3(c40,f14(c38,c39)).
% 1.98/2.18 0 [] p31(f20(c36,c39),f17(c37,c40)).
% 1.98/2.18 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.98/2.18 0 [] p9(X106,X107)| -p9(X105,X106)| -p9(X105,X107).
% 1.98/2.18 0 [] p8(X99,X100)| -p8(X98,X99)| -p8(X98,X100).
% 1.98/2.18 0 [] p6(X96,X97)| -p6(X95,X96)| -p6(X95,X97).
% 1.98/2.18 0 [] p5(X93,X94)| -p5(X92,X93)| -p5(X92,X94).
% 1.98/2.18 0 [] p3(X63,X64)| -p3(X62,X63)| -p3(X62,X64).
% 1.98/2.18 0 [] p28(X58,X59)| -p28(X57,X58)| -p28(X57,X59).
% 1.98/2.18 0 [] p26(X55,X56)| -p26(X54,X55)| -p26(X54,X56).
% 1.98/2.18 0 [] p24(X48,X49)| -p24(X47,X48)| -p24(X47,X49).
% 1.98/2.18 0 [] p22(X41,X42)| -p22(X40,X41)| -p22(X40,X42).
% 1.98/2.18 0 [] p21(X34,X35)| -p21(X33,X34)| -p21(X33,X35).
% 1.98/2.18 0 [] p2(X27,X28)| -p2(X26,X27)| -p2(X26,X28).
% 1.98/2.18 0 [] p19(X20,X21)| -p19(X19,X20)| -p19(X19,X21).
% 1.98/2.18 0 [] p18(X17,X18)| -p18(X16,X17)| -p18(X16,X18).
% 1.98/2.18 0 [] p16(X10,X11)| -p16(X9,X10)| -p16(X9,X11).
% 1.98/2.18 0 [] p15(X7,X8)| -p15(X6,X7)| -p15(X6,X8).
% 1.98/2.18 0 [] p13(X4,X5)| -p13(X3,X4)| -p13(X3,X5).
% 1.98/2.18 0 [] p3(f4(f7(c34,X77),f14(c38,X78)),f14(X77,X78)).
% 1.98/2.18 0 [] p31(X88,X89)| -p19(X91,X88)| -p31(X91,X90)| -p16(X90,X89).
% 1.98/2.18 0 [] p30(X82,X83)| -p30(X85,X84)| -p9(X85,X82)| -p3(X84,X83).
% 1.98/2.18 0 [] -p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)).
% 1.98/2.18 0 [] p16(f17(X12,X13),f17(X14,X15))| -p15(X12,X14)| -p3(X13,X15).
% 1.98/2.18 0 [] p9(f10(X108,X109),f10(X110,X111))| -p3(X109,X111)| -p8(X108,X110).
% 1.98/2.18 0 [] p8(f12(X101,X102),f12(X103,X104))| -p11(X101,X103)| -p8(X102,X104).
% 1.98/2.18 0 [] p3(f4(X73,X74),f4(X75,X76))| -p2(X73,X75)| -p3(X74,X76).
% 1.98/2.18 0 [] p3(f23(X69,X70),f23(X71,X72))| -p21(X69,X71)| -p22(X70,X72).
% 1.98/2.18 0 [] p3(f14(X65,X66),f14(X67,X68))| -p13(X66,X68)| -p6(X65,X67).
% 1.98/2.18 0 [] p24(f27(X50,X51),f27(X52,X53))| -p2(X51,X53)| -p26(X50,X52).
% 1.98/2.18 0 [] p22(f25(X43,X44),f25(X45,X46))| -p22(X44,X46)| -p24(X43,X45).
% 1.98/2.18 0 [] p21(f29(X36,X37),f29(X38,X39))| -p13(X37,X39)| -p28(X36,X38).
% 1.98/2.18 0 [] p2(f7(X29,X30),f7(X31,X32))| -p5(X29,X31)| -p6(X30,X32).
% 1.98/2.18 0 [] p19(f20(X22,X23),f20(X24,X25))| -p13(X23,X25)| -p18(X22,X24).
% 1.98/2.18 0 [] p3(f4(f7(c34,X79),f23(f29(c41,X80),X81)),f23(f29(c41,X80),f25(f27(c42,f7(c34,X79)),X81))).
% 1.98/2.18 0 [] p3(X60,f14(c38,X61))|p30(f10(f12(c32,c33),f14(c38,X61)),X60)| -p31(f20(c36,X61),f17(c37,X60)).
% 1.98/2.18 0 [] p30(f10(f12(c32,c33),f4(f7(c34,c35),X86)),f4(f7(c34,c35),X87))| -p30(f10(f12(c32,c33),X86),X87).
% 1.98/2.18 end_of_list.
% 1.98/2.18
% 1.98/2.18 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.98/2.18
% 1.98/2.18 This is a non-Horn set without equality. The strategy will
% 1.98/2.18 be ordered hyper_res, unit deletion, and factoring, with
% 1.98/2.18 satellites in sos and with nuclei in usable.
% 1.98/2.18
% 1.98/2.18 dependent: set(hyper_res).
% 1.98/2.18 dependent: set(factor).
% 1.98/2.18 dependent: set(unit_deletion).
% 1.98/2.18
% 1.98/2.18 ------------> process usable:
% 1.98/2.18 ** KEPT (pick-wt=5): 1 [] -p3(c40,f14(c38,c39)).
% 1.98/2.18 ** KEPT (pick-wt=9): 2 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 3 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 4 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 5 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 6 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 7 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 8 [] p28(A,B)| -p28(C,A)| -p28(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 9 [] p26(A,B)| -p26(C,A)| -p26(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 10 [] p24(A,B)| -p24(C,A)| -p24(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 11 [] p22(A,B)| -p22(C,A)| -p22(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 12 [] p21(A,B)| -p21(C,A)| -p21(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 13 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 14 [] p19(A,B)| -p19(C,A)| -p19(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 15 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 16 [] p16(A,B)| -p16(C,A)| -p16(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 17 [] p15(A,B)| -p15(C,A)| -p15(C,B).
% 1.98/2.18 ** KEPT (pick-wt=9): 18 [] p13(A,B)| -p13(C,A)| -p13(C,B).
% 1.98/2.18 ** KEPT (pick-wt=12): 19 [] p31(A,B)| -p19(C,A)| -p31(C,D)| -p16(D,B).
% 1.98/2.18 ** KEPT (pick-wt=12): 20 [] p30(A,B)| -p30(C,D)| -p9(C,A)| -p3(D,B).
% 1.98/2.18 ** KEPT (pick-wt=13): 21 [] -p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)).
% 1.98/2.18 ** KEPT (pick-wt=13): 22 [] p16(f17(A,B),f17(C,D))| -p15(A,C)| -p3(B,D).
% 1.98/2.18 ** KEPT (pick-wt=13): 23 [] p9(f10(A,B),f10(C,D))| -p3(B,D)| -p8(A,C).
% 1.98/2.18 ** KEPT (pick-wt=13): 24 [] p8(f12(A,B),f12(C,D))| -p11(A,C)| -p8(B,D).
% 1.98/2.18 ** KEPT (pick-wt=13): 25 [] p3(f4(A,B),f4(C,D))| -p2(A,C)| -p3(B,D).
% 1.98/2.18 ** KEPT (pick-wt=13): 26 [] p3(f23(A,B),f23(C,D))| -p21(A,C)| -p22(B,D).
% 1.98/2.18 ** KEPT (pick-wt=13): 27 [] p3(f14(A,B),f14(C,D))| -p13(B,D)| -p6(A,C).
% 1.98/2.18 ** KEPT (pick-wt=13): 28 [] p24(f27(A,B),f27(C,D))| -p2(B,D)| -p26(A,C).
% 1.98/2.18 ** KEPT (pick-wt=13): 29 [] p22(f25(A,B),f25(C,D))| -p22(B,D)| -p24(A,C).
% 1.98/2.18 ** KEPT (pick-wt=13): 30 [] p21(f29(A,B),f29(C,D))| -p13(B,D)| -p28(A,C).
% 1.98/2.18 ** KEPT (pick-wt=13): 31 [] p2(f7(A,B),f7(C,D))| -p5(A,C)| -p6(B,D).
% 1.98/2.18 ** KEPT (pick-wt=13): 32 [] p19(f20(A,B),f20(C,D))| -p13(B,D)| -p18(A,C).
% 1.98/2.18 ** KEPT (pick-wt=21): 33 [] p3(A,f14(c38,B))|p30(f10(f12(c32,c33),f14(c38,B)),A)| -p31(f20(c36,B),f17(c37,A)).
% 1.98/2.18 ** KEPT (pick-wt=22): 34 [] p30(f10(f12(c32,c33),f4(f7(c34,c35),A)),f4(f7(c34,c35),B))| -p30(f10(f12(c32,c33),A),B).
% 1.98/2.18
% 1.98/2.18 ------------> process sos:
% 1.98/2.18 ** KEPT (pick-wt=3): 52 [] p11(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 53 [] p9(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 54 [] p8(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 55 [] p6(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 56 [] p5(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 57 [] p3(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 58 [] p28(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 59 [] p26(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 60 [] p24(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 61 [] p22(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 62 [] p21(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 63 [] p2(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 64 [] p19(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 65 [] p18(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 66 [] p16(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 67 [] p15(A,A).
% 1.98/2.18 ** KEPT (pick-wt=3): 68 [] p13(A,A).
% 1.98/2.18 ** KEPT (pick-wt=7): 69 [] p31(f20(c36,c39),f17(c37,c40)).
% 1.98/2.18 ** KEPT (pick-wt=11): 70 [] p3(f4(f7(c34,A),f14(c38,B)),f14(A,B)).
% 1.98/2.18 ** KEPT (pick-wt=21): 71 [] p3(f4(f7(c34,A),f23(f29(c41,B),C)),f23(f29(c41,B),f25(f27(c42,f7(c34,A)),C))).
% 1.98/2.18 52 back subsumes 35.
% 1.98/2.18 53 back subsumes 36.
% 1.98/2.18 54 back subsumes 37.
% 1.98/2.18 55 back subsumes 38.
% 1.98/2.18 56 back subsumes 39.
% 1.98/2.18 57 back subsumes 40.
% 1.98/2.18 58 back subsumes 41.
% 1.98/2.18 59 back subsumes 42.
% 1.98/2.18 60 back subsumes 43.
% 1.98/2.18 61 back subsumes 44.
% 1.98/2.18 62 back subsumes 45.
% 1.98/2.18 63 back subsumes 46.
% 1.98/2.18 64 back subsumes 47.
% 1.98/2.18 65 back subsumes 48.
% 1.98/2.18 66 back subsumes 49.
% 1.98/2.18 67 back subsumes 50.
% 1.98/2.18 68 back subsumes 51.
% 1.98/2.18
% 1.98/2.18 ======= end of input processing =======
% 1.98/2.18
% 1.98/2.18 =========== start of search ===========
% 1.98/2.18
% 1.98/2.18 -------- PROOF --------
% 1.98/2.18
% 1.98/2.18 ----> UNIT CONFLICT at 0.01 sec ----> 90 [binary,89.1,21.1] $F.
% 1.98/2.18
% 1.98/2.18 Length of proof is 4. Level of proof is 3.
% 1.98/2.18
% 1.98/2.18 ---------------- PROOF ----------------
% 1.98/2.18 % SZS status Unsatisfiable
% 1.98/2.18 % SZS output start Refutation
% See solution above
% 1.98/2.18 ------------ end of proof -------------
% 1.98/2.18
% 1.98/2.18
% 1.98/2.18 Search stopped by max_proofs option.
% 1.98/2.18
% 1.98/2.18
% 1.98/2.18 Search stopped by max_proofs option.
% 1.98/2.18
% 1.98/2.18 ============ end of search ============
% 1.98/2.18
% 1.98/2.18 -------------- statistics -------------
% 1.98/2.18 clauses given 26
% 1.98/2.18 clauses generated 104
% 1.98/2.18 clauses kept 89
% 1.98/2.18 clauses forward subsumed 69
% 1.98/2.18 clauses back subsumed 17
% 1.98/2.18 Kbytes malloced 1953
% 1.98/2.18
% 1.98/2.18 ----------- times (seconds) -----------
% 1.98/2.18 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.98/2.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.18 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.98/2.18
% 1.98/2.18 That finishes the proof of the theorem.
% 1.98/2.18
% 1.98/2.18 Process 3051 finished Wed Jul 27 11:17:55 2022
% 1.98/2.18 Otter interrupted
% 1.98/2.18 PROOF FOUND
%------------------------------------------------------------------------------