TSTP Solution File: SYN630-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN630-1 : 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 13:25:02 EDT 2022
% Result : Unsatisfiable 2.05s 2.22s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('SYN630-1.p',unknown),
[] ).
cnf(26,axiom,
( p4(f5(f7(A,f8(B,C)),D),E)
| ~ p21(F,f9(f10(f11(c29))))
| ~ p21(E,f12(f9(f10(f11(c29))),B))
| ~ p22(f12(f9(f10(f11(c29))),f18(B,f9(f11(c29)))),E)
| ~ p3(D,f13(f15(f17(f16(f9(f11(c29)))),F),f13(f15(f16(f9(f10(f11(c29)))),G),f14(f16(E),f15(f16(f9(f10(f11(c29)))),C))))) ),
file('SYN630-1.p',unknown),
[] ).
cnf(44,axiom,
p21(c28,f9(f10(f11(c29)))),
file('SYN630-1.p',unknown),
[] ).
cnf(45,axiom,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('SYN630-1.p',unknown),
[] ).
cnf(46,axiom,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('SYN630-1.p',unknown),
[] ).
cnf(47,axiom,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('SYN630-1.p',unknown),
[] ).
cnf(58,plain,
p4(f5(f7(A,f8(c24,c25)),c26),c27),
inference(hyper,[status(thm)],[47,26,44,45,46]),
[iquote('hyper,47,26,44,45,46')] ).
cnf(59,plain,
$false,
inference(binary,[status(thm)],[58,6]),
[iquote('binary,58.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN630-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:24:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.05/2.22 ----- Otter 3.3f, August 2004 -----
% 2.05/2.22 The process was started by sandbox on n020.cluster.edu,
% 2.05/2.22 Wed Jul 27 11:24:08 2022
% 2.05/2.22 The command was "./otter". The process ID is 13989.
% 2.05/2.22
% 2.05/2.22 set(prolog_style_variables).
% 2.05/2.22 set(auto).
% 2.05/2.22 dependent: set(auto1).
% 2.05/2.22 dependent: set(process_input).
% 2.05/2.22 dependent: clear(print_kept).
% 2.05/2.22 dependent: clear(print_new_demod).
% 2.05/2.22 dependent: clear(print_back_demod).
% 2.05/2.22 dependent: clear(print_back_sub).
% 2.05/2.22 dependent: set(control_memory).
% 2.05/2.22 dependent: assign(max_mem, 12000).
% 2.05/2.22 dependent: assign(pick_given_ratio, 4).
% 2.05/2.22 dependent: assign(stats_level, 1).
% 2.05/2.22 dependent: assign(max_seconds, 10800).
% 2.05/2.22 clear(print_given).
% 2.05/2.22
% 2.05/2.22 list(usable).
% 2.05/2.22 0 [] p2(X0,X0).
% 2.05/2.22 0 [] p6(X70,X70).
% 2.05/2.22 0 [] p4(X41,X41).
% 2.05/2.22 0 [] p3(X15,X15).
% 2.05/2.22 0 [] p21(c28,f9(f10(f11(c29)))).
% 2.05/2.22 0 [] p21(c27,f12(f9(f10(f11(c29))),c24)).
% 2.05/2.22 0 [] p4(f9(X68),f9(X69))| -p4(X68,X69).
% 2.05/2.22 0 [] p3(f16(X37),f16(X38))| -p4(X37,X38).
% 2.05/2.22 0 [] p3(f17(X39),f17(X40))| -p3(X39,X40).
% 2.05/2.22 0 [] p4(f10(X44),f10(X45))| -p4(X44,X45).
% 2.05/2.22 0 [] p4(f11(X46),f11(X47))| -p4(X46,X47).
% 2.05/2.22 0 [] -p4(f5(f7(c23,f8(c24,c25)),c26),c27).
% 2.05/2.22 0 [] p2(X1,X2)| -p2(X0,X1)| -p2(X0,X2).
% 2.05/2.22 0 [] p6(X71,X72)| -p6(X70,X71)| -p6(X70,X72).
% 2.05/2.22 0 [] p4(X42,X43)| -p4(X41,X42)| -p4(X41,X43).
% 2.05/2.22 0 [] p3(X16,X17)| -p3(X15,X16)| -p3(X15,X17).
% 2.05/2.22 0 [] p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27).
% 2.05/2.22 0 [] p21(X7,X8)| -p4(X9,X7)| -p4(X10,X8)| -p21(X9,X10).
% 2.05/2.22 0 [] p22(X11,X12)| -p4(X13,X11)| -p4(X14,X12)| -p22(X13,X14).
% 2.05/2.22 0 [] p6(f8(X73,X74),f8(X75,X76))| -p4(X74,X76)| -p4(X73,X75).
% 2.05/2.22 0 [] p2(f7(X3,X4),f7(X5,X6))| -p4(X3,X5)| -p6(X4,X6).
% 2.05/2.22 0 [] p3(f13(X25,X26),f13(X27,X28))| -p3(X25,X27)| -p3(X26,X28).
% 2.05/2.22 0 [] p3(f14(X29,X30),f14(X31,X32))| -p3(X29,X31)| -p3(X30,X32).
% 2.05/2.22 0 [] p3(f15(X33,X34),f15(X35,X36))| -p3(X33,X35)| -p4(X34,X36).
% 2.05/2.22 0 [] p4(f12(X48,X49),f12(X50,X51))| -p4(X48,X50)| -p4(X49,X51).
% 2.05/2.22 0 [] p4(f18(X52,X53),f18(X54,X55))| -p4(X52,X54)| -p4(X53,X55).
% 2.05/2.22 0 [] p4(f19(X56,X57),f19(X58,X59))| -p2(X56,X58)| -p3(X57,X59).
% 2.05/2.22 0 [] p4(f20(X60,X61),f20(X62,X63))| -p2(X60,X62)| -p3(X61,X63).
% 2.05/2.22 0 [] p4(f5(X64,X65),f5(X66,X67))| -p2(X64,X66)| -p3(X65,X67).
% 2.05/2.22 0 [] p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))).
% 2.05/2.22 0 [] p4(f5(f7(X19,f8(X20,X21)),X18),X23)| -p4(X24,f9(c29))| -p21(X22,f9(f10(f11(c29))))| -p21(X23,f12(f9(f10(f11(c29))),X20))| -p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))).
% 2.05/2.22 0 [] p4(f19(f7(X19,f8(X20,X21)),X18),X24)| -p4(X24,f9(c29))| -p21(X22,f9(f10(f11(c29))))| -p21(X23,f12(f9(f10(f11(c29))),X20))| -p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))).
% 2.05/2.22 0 [] p3(X18,f16(f9(c29)))|p4(f20(f7(X19,f8(X20,X21)),X18),X22)| -p4(X24,f9(c29))| -p21(X22,f9(f10(f11(c29))))| -p21(X23,f12(f9(f10(f11(c29))),X20))| -p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))).
% 2.05/2.22 0 [] p4(f5(f7(X19,f8(X20,X21)),X18),X23)| -p21(X22,f9(f10(f11(c29))))| -p21(X23,f12(f9(f10(f11(c29))),X20))| -p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)| -p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))).
% 2.05/2.22 0 [] p4(f19(f7(X19,f8(X20,X21)),X18),X24)| -p21(X22,f9(f10(f11(c29))))| -p21(X23,f12(f9(f10(f11(c29))),X20))| -p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)| -p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))).
% 2.05/2.22 0 [] p3(X18,f16(f9(c29)))|p4(f20(f7(X19,f8(X20,X21)),X18),X22)| -p21(X22,f9(f10(f11(c29))))| -p21(X23,f12(f9(f10(f11(c29))),X20))| -p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)| -p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21))))).
% 2.05/2.22 end_of_list.
% 2.05/2.22
% 2.05/2.22 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 2.05/2.22
% 2.05/2.22 This is a non-Horn set without equality. The strategy will
% 2.05/2.22 be ordered hyper_res, unit deletion, and factoring, with
% 2.05/2.22 satellites in sos and with nuclei in usable.
% 2.05/2.22
% 2.05/2.22 dependent: set(hyper_res).
% 2.05/2.22 dependent: set(factor).
% 2.05/2.22 dependent: set(unit_deletion).
% 2.05/2.22
% 2.05/2.22 ------------> process usable:
% 2.05/2.22 ** KEPT (pick-wt=8): 1 [] p4(f9(A),f9(B))| -p4(A,B).
% 2.05/2.22 ** KEPT (pick-wt=8): 2 [] p3(f16(A),f16(B))| -p4(A,B).
% 2.05/2.22 ** KEPT (pick-wt=8): 3 [] p3(f17(A),f17(B))| -p3(A,B).
% 2.05/2.22 ** KEPT (pick-wt=8): 4 [] p4(f10(A),f10(B))| -p4(A,B).
% 2.05/2.22 ** KEPT (pick-wt=8): 5 [] p4(f11(A),f11(B))| -p4(A,B).
% 2.05/2.22 ** KEPT (pick-wt=9): 6 [] -p4(f5(f7(c23,f8(c24,c25)),c26),c27).
% 2.05/2.22 ** KEPT (pick-wt=9): 7 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.05/2.22 ** KEPT (pick-wt=9): 8 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 2.05/2.22 ** KEPT (pick-wt=9): 9 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.05/2.22 ** KEPT (pick-wt=9): 10 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 2.05/2.22 ** KEPT (pick-wt=12): 11 [] p21(A,B)| -p4(C,A)| -p4(D,B)| -p21(C,D).
% 2.05/2.22 ** KEPT (pick-wt=12): 12 [] p22(A,B)| -p4(C,A)| -p4(D,B)| -p22(C,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 13 [] p6(f8(A,B),f8(C,D))| -p4(B,D)| -p4(A,C).
% 2.05/2.22 ** KEPT (pick-wt=13): 14 [] p2(f7(A,B),f7(C,D))| -p4(A,C)| -p6(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 15 [] p3(f13(A,B),f13(C,D))| -p3(A,C)| -p3(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 16 [] p3(f14(A,B),f14(C,D))| -p3(A,C)| -p3(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 17 [] p3(f15(A,B),f15(C,D))| -p3(A,C)| -p4(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 18 [] p4(f12(A,B),f12(C,D))| -p4(A,C)| -p4(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 19 [] p4(f18(A,B),f18(C,D))| -p4(A,C)| -p4(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 20 [] p4(f19(A,B),f19(C,D))| -p2(A,C)| -p3(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 21 [] p4(f20(A,B),f20(C,D))| -p2(A,C)| -p3(B,D).
% 2.05/2.22 ** KEPT (pick-wt=13): 22 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 2.05/2.22 ** KEPT (pick-wt=55): 23 [] p4(f5(f7(A,f8(B,C)),D),E)| -p4(F,f9(c29))| -p21(G,f9(f10(f11(c29))))| -p21(E,f12(f9(f10(f11(c29))),B))| -p3(D,f13(f15(f17(f16(f9(f11(c29)))),G),f13(f15(f16(f9(f10(f11(c29)))),F),f14(f16(E),f15(f16(f9(f10(f11(c29)))),C))))).
% 2.05/2.22 ** KEPT (pick-wt=55): 24 [] p4(f19(f7(A,f8(B,C)),D),E)| -p4(E,f9(c29))| -p21(F,f9(f10(f11(c29))))| -p21(G,f12(f9(f10(f11(c29))),B))| -p3(D,f13(f15(f17(f16(f9(f11(c29)))),F),f13(f15(f16(f9(f10(f11(c29)))),E),f14(f16(G),f15(f16(f9(f10(f11(c29)))),C))))).
% 2.05/2.22 ** KEPT (pick-wt=60): 25 [] p3(A,f16(f9(c29)))|p4(f20(f7(B,f8(C,D)),A),E)| -p4(F,f9(c29))| -p21(E,f9(f10(f11(c29))))| -p21(G,f12(f9(f10(f11(c29))),C))| -p3(A,f13(f15(f17(f16(f9(f11(c29)))),E),f13(f15(f16(f9(f10(f11(c29)))),F),f14(f16(G),f15(f16(f9(f10(f11(c29)))),D))))).
% 2.05/2.22 ** KEPT (pick-wt=63): 26 [] p4(f5(f7(A,f8(B,C)),D),E)| -p21(F,f9(f10(f11(c29))))| -p21(E,f12(f9(f10(f11(c29))),B))| -p22(f12(f9(f10(f11(c29))),f18(B,f9(f11(c29)))),E)| -p3(D,f13(f15(f17(f16(f9(f11(c29)))),F),f13(f15(f16(f9(f10(f11(c29)))),G),f14(f16(E),f15(f16(f9(f10(f11(c29)))),C))))).
% 2.05/2.22 ** KEPT (pick-wt=63): 27 [] p4(f19(f7(A,f8(B,C)),D),E)| -p21(F,f9(f10(f11(c29))))| -p21(G,f12(f9(f10(f11(c29))),B))| -p22(f12(f9(f10(f11(c29))),f18(B,f9(f11(c29)))),G)| -p3(D,f13(f15(f17(f16(f9(f11(c29)))),F),f13(f15(f16(f9(f10(f11(c29)))),E),f14(f16(G),f15(f16(f9(f10(f11(c29)))),C))))).
% 2.05/2.22 ** KEPT (pick-wt=68): 28 [] p3(A,f16(f9(c29)))|p4(f20(f7(B,f8(C,D)),A),E)| -p21(E,f9(f10(f11(c29))))| -p21(F,f12(f9(f10(f11(c29))),C))| -p22(f12(f9(f10(f11(c29))),f18(C,f9(f11(c29)))),F)| -p3(A,f13(f15(f17(f16(f9(f11(c29)))),E),f13(f15(f16(f9(f10(f11(c29)))),G),f14(f16(F),f15(f16(f9(f10(f11(c29)))),D))))).
% 2.05/2.22
% 2.05/2.22 ------------> process sos:
% 2.05/2.22 ** KEPT (pick-wt=3): 40 [] p2(A,A).
% 2.05/2.22 ** KEPT (pick-wt=3): 41 [] p6(A,A).
% 2.05/2.22 ** KEPT (pick-wt=3): 42 [] p4(A,A).
% 2.05/2.22 ** KEPT (pick-wt=3): 43 [] p3(A,A).
% 2.05/2.22 ** KEPT (pick-wt=6): 44 [] p21(c28,f9(f10(f11(c29)))).
% 2.05/2.22 ** KEPT (pick-wt=8): 45 [] p21(c27,f12(f9(f10(f11(c29))),c24)).
% 2.05/2.22 ** KEPT (pick-wt=12): 46 [] p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27).
% 2.05/2.22 ** KEPT (pick-wt=28): 47 [] p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))).
% 2.05/2.22 40 back subsumes 29.
% 2.05/2.22 41 back subsumes 30.
% 2.05/2.22 42 back subsumes 31.
% 2.05/2.22 43 back subsumes 32.
% 2.05/2.22
% 2.05/2.22 ======= end of input processing =======
% 2.05/2.22
% 2.05/2.22 =========== start of search ===========
% 2.05/2.22
% 2.05/2.22 -------- PROOF --------
% 2.05/2.22
% 2.05/2.22 ----> UNIT CONFLICT at 0.01 sec ----> 59 [binary,58.1,6.1] $F.
% 2.05/2.22
% 2.05/2.22 Length of proof is 1. Level of proof is 1.
% 2.05/2.22
% 2.05/2.22 ---------------- PROOF ----------------
% 2.05/2.22 % SZS status Unsatisfiable
% 2.05/2.22 % SZS output start Refutation
% See solution above
% 2.05/2.22 ------------ end of proof -------------
% 2.05/2.22
% 2.05/2.22
% 2.05/2.22 Search stopped by max_proofs option.
% 2.05/2.22
% 2.05/2.22
% 2.05/2.22 Search stopped by max_proofs option.
% 2.05/2.22
% 2.05/2.22 ============ end of search ============
% 2.05/2.22
% 2.05/2.22 -------------- statistics -------------
% 2.05/2.22 clauses given 8
% 2.05/2.22 clauses generated 58
% 2.05/2.22 clauses kept 58
% 2.05/2.22 clauses forward subsumed 36
% 2.05/2.22 clauses back subsumed 7
% 2.05/2.22 Kbytes malloced 1953
% 2.05/2.22
% 2.05/2.22 ----------- times (seconds) -----------
% 2.05/2.22 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.05/2.22 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.05/2.22 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.05/2.22
% 2.05/2.22 That finishes the proof of the theorem.
% 2.05/2.22
% 2.05/2.22 Process 13989 finished Wed Jul 27 11:24:10 2022
% 2.05/2.22 Otter interrupted
% 2.05/2.22 PROOF FOUND
%------------------------------------------------------------------------------