TSTP Solution File: SYN656-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:25:04 EDT 2022
% Result : Unsatisfiable 1.82s 2.05s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 7 unt; 3 nHn; 6 RR)
% Number of literals : 25 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN656-1.p',unknown),
[] ).
cnf(16,axiom,
( p25(f5(f7(c28,A),B),C)
| ~ p25(f5(A,B),C) ),
file('SYN656-1.p',unknown),
[] ).
cnf(18,axiom,
( p25(A,B)
| ~ p3(C,B)
| ~ p4(D,A)
| ~ p25(D,C) ),
file('SYN656-1.p',unknown),
[] ).
cnf(28,axiom,
~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
file('SYN656-1.p',unknown),
[] ).
cnf(29,axiom,
( p25(f5(f7(c28,A),B),C)
| ~ p25(f5(A,B),D)
| ~ p25(f5(f7(c28,A),D),C) ),
file('SYN656-1.p',unknown),
[] ).
cnf(49,axiom,
p4(A,A),
file('SYN656-1.p',unknown),
[] ).
cnf(50,axiom,
p3(A,A),
file('SYN656-1.p',unknown),
[] ).
cnf(60,axiom,
p25(f5(c29,f13(c31,f15(c32,A))),f13(c31,A)),
file('SYN656-1.p',unknown),
[] ).
cnf(61,axiom,
( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),A)))
| p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),A))),f13(c31,c34)) ),
file('SYN656-1.p',unknown),
[] ).
cnf(62,plain,
p25(f5(f7(c28,c29),f13(c31,f15(c32,A))),f13(c31,A)),
inference(hyper,[status(thm)],[60,16]),
[iquote('hyper,60,16')] ).
cnf(85,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),A))),f13(c31,c34))
| p3(f13(c31,f15(f17(c33,c34),A)),f13(c31,c34)) ),
inference(hyper,[status(thm)],[61,7,50]),
[iquote('hyper,61,7,50')] ).
cnf(254,plain,
( p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),A))),f13(c31,c34))
| p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),A)))),f13(c31,c34)) ),
inference(hyper,[status(thm)],[85,18,49,62]),
[iquote('hyper,85,18,49,62')] ).
cnf(570,plain,
p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),A)))),f13(c31,c34)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[254,29,60])]),
[iquote('hyper,254,29,60,factor_simp')] ).
cnf(571,plain,
$false,
inference(binary,[status(thm)],[570,28]),
[iquote('binary,570.1,28.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN656-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:02:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.74/1.95 ----- Otter 3.3f, August 2004 -----
% 1.74/1.95 The process was started by sandbox2 on n014.cluster.edu,
% 1.74/1.95 Wed Jul 27 11:02:24 2022
% 1.74/1.95 The command was "./otter". The process ID is 11147.
% 1.74/1.95
% 1.74/1.95 set(prolog_style_variables).
% 1.74/1.95 set(auto).
% 1.74/1.95 dependent: set(auto1).
% 1.74/1.95 dependent: set(process_input).
% 1.74/1.95 dependent: clear(print_kept).
% 1.74/1.95 dependent: clear(print_new_demod).
% 1.74/1.95 dependent: clear(print_back_demod).
% 1.74/1.95 dependent: clear(print_back_sub).
% 1.74/1.95 dependent: set(control_memory).
% 1.74/1.95 dependent: assign(max_mem, 12000).
% 1.74/1.95 dependent: assign(pick_given_ratio, 4).
% 1.74/1.95 dependent: assign(stats_level, 1).
% 1.74/1.95 dependent: assign(max_seconds, 10800).
% 1.74/1.95 clear(print_given).
% 1.74/1.95
% 1.74/1.95 list(usable).
% 1.74/1.95 0 [] p11(X0,X0).
% 1.74/1.95 0 [] p9(X88,X88).
% 1.74/1.95 0 [] p8(X85,X85).
% 1.74/1.95 0 [] p6(X82,X82).
% 1.74/1.95 0 [] p4(X75,X75).
% 1.74/1.95 0 [] p3(X64,X64).
% 1.74/1.95 0 [] p22(X41,X41).
% 1.74/1.95 0 [] p20(X34,X34).
% 1.74/1.95 0 [] p2(X27,X27).
% 1.74/1.95 0 [] p18(X20,X20).
% 1.74/1.95 0 [] p16(X17,X17).
% 1.74/1.95 0 [] p14(X10,X10).
% 1.74/1.95 0 [] p12(X3,X3).
% 1.74/1.95 0 [] p24(c26,c27).
% 1.74/1.95 0 [] p24(f10(c30,f13(c31,X50)),c27).
% 1.74/1.95 0 [] -p25(f5(f7(c28,c29),X95),X95).
% 1.74/1.95 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.74/1.95 0 [] p9(X89,X90)| -p9(X88,X89)| -p9(X88,X90).
% 1.74/1.95 0 [] p8(X86,X87)| -p8(X85,X86)| -p8(X85,X87).
% 1.74/1.95 0 [] p6(X83,X84)| -p6(X82,X83)| -p6(X82,X84).
% 1.74/1.95 0 [] p4(X76,X77)| -p4(X75,X76)| -p4(X75,X77).
% 1.74/1.95 0 [] p3(X65,X66)| -p3(X64,X65)| -p3(X64,X66).
% 1.74/1.95 0 [] p22(X42,X43)| -p22(X41,X42)| -p22(X41,X43).
% 1.74/1.95 0 [] p20(X35,X36)| -p20(X34,X35)| -p20(X34,X36).
% 1.74/1.95 0 [] p2(X28,X29)| -p2(X27,X28)| -p2(X27,X29).
% 1.74/1.95 0 [] p18(X21,X22)| -p18(X20,X21)| -p18(X20,X22).
% 1.74/1.95 0 [] p16(X18,X19)| -p16(X17,X18)| -p16(X17,X19).
% 1.74/1.95 0 [] p14(X11,X12)| -p14(X10,X11)| -p14(X10,X12).
% 1.74/1.95 0 [] p12(X4,X5)| -p12(X3,X4)| -p12(X3,X5).
% 1.74/1.95 0 [] p24(f10(c30,X48),c27)| -p25(f5(c29,X49),X48).
% 1.74/1.95 0 [] p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)).
% 1.74/1.95 0 [] p25(f5(f7(c28,X55),X56),X57)| -p25(f5(X55,X56),X57).
% 1.74/1.95 0 [] p25(f5(f7(c28,X59),X60),X61)| -p25(f5(X59,X60),X61).
% 1.74/1.95 0 [] p24(X44,X45)| -p4(X47,X45)| -p9(X46,X44)| -p24(X46,X47).
% 1.74/1.95 0 [] p25(X51,X52)| -p3(X54,X52)| -p4(X53,X51)| -p25(X53,X54).
% 1.74/1.95 0 [] p9(f10(X91,X92),f10(X93,X94))| -p3(X92,X94)| -p8(X91,X93).
% 1.74/1.95 0 [] p12(f15(X6,X7),f15(X8,X9))| -p12(X7,X9)| -p14(X6,X8).
% 1.74/1.95 0 [] p14(f17(X13,X14),f17(X15,X16))| -p12(X14,X16)| -p16(X13,X15).
% 1.74/1.95 0 [] p18(f21(X23,X24),f21(X25,X26))| -p20(X23,X25)| -p3(X24,X26).
% 1.74/1.95 0 [] p2(f7(X30,X31),f7(X32,X33))| -p2(X31,X33)| -p6(X30,X32).
% 1.74/1.95 0 [] p20(f23(X37,X38),f23(X39,X40))| -p2(X38,X40)| -p22(X37,X39).
% 1.74/1.95 0 [] p3(f13(X67,X68),f13(X69,X70))| -p11(X67,X69)| -p12(X68,X70).
% 1.74/1.95 0 [] p3(f19(X71,X72),f19(X73,X74))| -p18(X71,X73)| -p3(X72,X74).
% 1.74/1.95 0 [] p4(f5(X78,X79),f5(X80,X81))| -p2(X78,X80)| -p3(X79,X81).
% 1.74/1.95 0 [] -p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)).
% 1.74/1.95 0 [] p25(f5(f7(c28,X55),X56),X57)| -p25(f5(X55,X56),X62)| -p25(f5(f7(c28,X55),X62),X57).
% 1.74/1.95 0 [] p25(f5(X55,X56),X57)|p25(f5(X55,X56),f19(f21(f23(c36,X55),X56),X57))| -p25(f5(f7(c28,X55),X56),X57).
% 1.74/1.95 0 [] p25(f5(X55,X56),X57)|p25(f5(f7(c28,X55),f19(f21(f23(c36,X55),X56),X57)),X57)| -p25(f5(f7(c28,X55),X56),X57).
% 1.74/1.95 0 [] p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63)))|p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34)).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.74/1.95
% 1.74/1.95 This is a non-Horn set without equality. The strategy will
% 1.74/1.95 be ordered hyper_res, unit deletion, and factoring, with
% 1.74/1.95 satellites in sos and with nuclei in usable.
% 1.74/1.95
% 1.74/1.95 dependent: set(hyper_res).
% 1.74/1.95 dependent: set(factor).
% 1.74/1.95 dependent: set(unit_deletion).
% 1.74/1.95
% 1.74/1.95 ------------> process usable:
% 1.74/1.95 ** KEPT (pick-wt=7): 1 [] -p25(f5(f7(c28,c29),A),A).
% 1.74/1.95 ** KEPT (pick-wt=9): 2 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 3 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 4 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 5 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 6 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 7 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 8 [] p22(A,B)| -p22(C,A)| -p22(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 9 [] p20(A,B)| -p20(C,A)| -p20(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 10 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 11 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 12 [] p16(A,B)| -p16(C,A)| -p16(C,B).
% 1.74/1.95 ** KEPT (pick-wt=9): 13 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 1.82/2.05 ** KEPT (pick-wt=9): 14 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 1.82/2.05 ** KEPT (pick-wt=10): 15 [] p24(f10(c30,A),c27)| -p25(f5(c29,B),A).
% 1.82/2.05 ** KEPT (pick-wt=12): 16 [] p25(f5(f7(c28,A),B),C)| -p25(f5(A,B),C).
% 1.82/2.05 Following clause subsumed by 16 during input processing: 0 [] p25(f5(f7(c28,A),B),C)| -p25(f5(A,B),C).
% 1.82/2.05 ** KEPT (pick-wt=12): 17 [] p24(A,B)| -p4(C,B)| -p9(D,A)| -p24(D,C).
% 1.82/2.05 ** KEPT (pick-wt=12): 18 [] p25(A,B)| -p3(C,B)| -p4(D,A)| -p25(D,C).
% 1.82/2.05 ** KEPT (pick-wt=13): 19 [] p9(f10(A,B),f10(C,D))| -p3(B,D)| -p8(A,C).
% 1.82/2.05 ** KEPT (pick-wt=13): 20 [] p12(f15(A,B),f15(C,D))| -p12(B,D)| -p14(A,C).
% 1.82/2.05 ** KEPT (pick-wt=13): 21 [] p14(f17(A,B),f17(C,D))| -p12(B,D)| -p16(A,C).
% 1.82/2.05 ** KEPT (pick-wt=13): 22 [] p18(f21(A,B),f21(C,D))| -p20(A,C)| -p3(B,D).
% 1.82/2.05 ** KEPT (pick-wt=13): 23 [] p2(f7(A,B),f7(C,D))| -p2(B,D)| -p6(A,C).
% 1.82/2.05 ** KEPT (pick-wt=13): 24 [] p20(f23(A,B),f23(C,D))| -p2(B,D)| -p22(A,C).
% 1.82/2.05 ** KEPT (pick-wt=13): 25 [] p3(f13(A,B),f13(C,D))| -p11(A,C)| -p12(B,D).
% 1.82/2.05 ** KEPT (pick-wt=13): 26 [] p3(f19(A,B),f19(C,D))| -p18(A,C)| -p3(B,D).
% 1.82/2.05 ** KEPT (pick-wt=13): 27 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 1.82/2.05 ** KEPT (pick-wt=17): 28 [] -p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)).
% 1.82/2.05 ** KEPT (pick-wt=19): 29 [] p25(f5(f7(c28,A),B),C)| -p25(f5(A,B),D)| -p25(f5(f7(c28,A),D),C).
% 1.82/2.05 ** KEPT (pick-wt=23): 30 [] p25(f5(A,B),C)|p25(f5(A,B),f19(f21(f23(c36,A),B),C))| -p25(f5(f7(c28,A),B),C).
% 1.82/2.05 ** KEPT (pick-wt=25): 31 [] p25(f5(A,B),C)|p25(f5(f7(c28,A),f19(f21(f23(c36,A),B),C)),C)| -p25(f5(f7(c28,A),B),C).
% 1.82/2.05
% 1.82/2.05 ------------> process sos:
% 1.82/2.05 ** KEPT (pick-wt=3): 45 [] p11(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 46 [] p9(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 47 [] p8(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 48 [] p6(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 49 [] p4(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 50 [] p3(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 51 [] p22(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 52 [] p20(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 53 [] p2(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 54 [] p18(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 55 [] p16(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 56 [] p14(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 57 [] p12(A,A).
% 1.82/2.05 ** KEPT (pick-wt=3): 58 [] p24(c26,c27).
% 1.82/2.05 ** KEPT (pick-wt=7): 59 [] p24(f10(c30,f13(c31,A)),c27).
% 1.82/2.05 ** KEPT (pick-wt=11): 60 [] p25(f5(c29,f13(c31,f15(c32,A))),f13(c31,A)).
% 1.82/2.05 ** KEPT (pick-wt=26): 61 [] p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),A)))|p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),A))),f13(c31,c34)).
% 1.82/2.05 45 back subsumes 32.
% 1.82/2.05 46 back subsumes 33.
% 1.82/2.05 47 back subsumes 34.
% 1.82/2.05 48 back subsumes 35.
% 1.82/2.05 49 back subsumes 36.
% 1.82/2.05 50 back subsumes 37.
% 1.82/2.05 51 back subsumes 38.
% 1.82/2.05 52 back subsumes 39.
% 1.82/2.05 53 back subsumes 40.
% 1.82/2.05 54 back subsumes 41.
% 1.82/2.05 55 back subsumes 42.
% 1.82/2.05 56 back subsumes 43.
% 1.82/2.05 57 back subsumes 44.
% 1.82/2.05
% 1.82/2.05 ======= end of input processing =======
% 1.82/2.05
% 1.82/2.05 =========== start of search ===========
% 1.82/2.05
% 1.82/2.05 -------- PROOF --------
% 1.82/2.05
% 1.82/2.05 ----> UNIT CONFLICT at 0.10 sec ----> 571 [binary,570.1,28.1] $F.
% 1.82/2.05
% 1.82/2.05 Length of proof is 4. Level of proof is 3.
% 1.82/2.05
% 1.82/2.05 ---------------- PROOF ----------------
% 1.82/2.05 % SZS status Unsatisfiable
% 1.82/2.05 % SZS output start Refutation
% See solution above
% 1.82/2.05 ------------ end of proof -------------
% 1.82/2.05
% 1.82/2.05
% 1.82/2.05 Search stopped by max_proofs option.
% 1.82/2.05
% 1.82/2.05
% 1.82/2.05 Search stopped by max_proofs option.
% 1.82/2.05
% 1.82/2.05 ============ end of search ============
% 1.82/2.05
% 1.82/2.05 -------------- statistics -------------
% 1.82/2.05 clauses given 95
% 1.82/2.05 clauses generated 1250
% 1.82/2.05 clauses kept 570
% 1.82/2.05 clauses forward subsumed 729
% 1.82/2.05 clauses back subsumed 34
% 1.82/2.05 Kbytes malloced 2929
% 1.82/2.05
% 1.82/2.05 ----------- times (seconds) -----------
% 1.82/2.05 user CPU time 0.10 (0 hr, 0 min, 0 sec)
% 1.82/2.05 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.82/2.05 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.82/2.05
% 1.82/2.05 That finishes the proof of the theorem.
% 1.82/2.05
% 1.82/2.05 Process 11147 finished Wed Jul 27 11:02:25 2022
% 1.82/2.05 Otter interrupted
% 1.82/2.05 PROOF FOUND
%------------------------------------------------------------------------------