TSTP Solution File: SYN621-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN621-1 : 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 13:25:01 EDT 2022
% Result : Unsatisfiable 1.72s 1.94s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 4 unt; 2 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p2(c23,f3(c24)),
file('SYN621-1.p',unknown),
[] ).
cnf(12,axiom,
( p21(A,B)
| ~ p21(A,C)
| ~ p21(C,B) ),
file('SYN621-1.p',unknown),
[] ).
cnf(24,axiom,
( p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,A)))
| ~ p22(A,f14(f11(c25,f12(c23,c26)))) ),
file('SYN621-1.p',unknown),
[] ).
cnf(25,axiom,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file('SYN621-1.p',unknown),
[] ).
cnf(47,axiom,
( p2(A,f3(c24))
| p22(f20(B,A,C,D),f14(f11(B,f12(A,C)))) ),
file('SYN621-1.p',unknown),
[] ).
cnf(48,axiom,
( p2(A,f3(c24))
| p21(f5(f6(B,f20(C,A,D,B))),f15(f19(f11(C,f12(A,D)),B),f16(f3(f17(f18(c24)))))) ),
file('SYN621-1.p',unknown),
[] ).
cnf(50,plain,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,A)))),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[47,24]),1]),
[iquote('hyper,47,24,unit_del,1')] ).
cnf(51,plain,
$false,
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[48,12,50]),1,25]),
[iquote('hyper,48,12,50,unit_del,1,25')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN621-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % 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 11:20:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.72/1.94 ----- Otter 3.3f, August 2004 -----
% 1.72/1.94 The process was started by sandbox on n014.cluster.edu,
% 1.72/1.94 Wed Jul 27 11:20:09 2022
% 1.72/1.94 The command was "./otter". The process ID is 29984.
% 1.72/1.94
% 1.72/1.94 set(prolog_style_variables).
% 1.72/1.94 set(auto).
% 1.72/1.94 dependent: set(auto1).
% 1.72/1.94 dependent: set(process_input).
% 1.72/1.94 dependent: clear(print_kept).
% 1.72/1.94 dependent: clear(print_new_demod).
% 1.72/1.94 dependent: clear(print_back_demod).
% 1.72/1.94 dependent: clear(print_back_sub).
% 1.72/1.94 dependent: set(control_memory).
% 1.72/1.94 dependent: assign(max_mem, 12000).
% 1.72/1.94 dependent: assign(pick_given_ratio, 4).
% 1.72/1.94 dependent: assign(stats_level, 1).
% 1.72/1.94 dependent: assign(max_seconds, 10800).
% 1.72/1.94 clear(print_given).
% 1.72/1.94
% 1.72/1.94 list(usable).
% 1.72/1.94 0 [] p10(X0,X0).
% 1.72/1.94 0 [] p8(X78,X78).
% 1.72/1.94 0 [] p7(X71,X71).
% 1.72/1.94 0 [] p4(X38,X38).
% 1.72/1.94 0 [] p2(X12,X12).
% 1.72/1.94 0 [] p13(X7,X7).
% 1.72/1.94 0 [] -p2(c23,f3(c24)).
% 1.72/1.94 0 [] p13(f14(X10),f14(X11))| -p7(X10,X11).
% 1.72/1.94 0 [] p4(f5(X59),f5(X60))| -p4(X59,X60).
% 1.72/1.94 0 [] p4(f16(X45),f16(X46))| -p2(X45,X46).
% 1.72/1.94 0 [] p2(f3(X24),f3(X25))| -p2(X24,X25).
% 1.72/1.94 0 [] p2(f18(X22),f18(X23))| -p2(X22,X23).
% 1.72/1.94 0 [] p2(f17(X20),f17(X21))| -p2(X20,X21).
% 1.72/1.94 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.72/1.94 0 [] p8(X79,X80)| -p8(X78,X79)| -p8(X78,X80).
% 1.72/1.94 0 [] p7(X72,X73)| -p7(X71,X72)| -p7(X71,X73).
% 1.72/1.94 0 [] p4(X39,X40)| -p4(X38,X39)| -p4(X38,X40).
% 1.72/1.94 0 [] p21(X30,X31)| -p21(X30,X32)| -p21(X32,X31).
% 1.72/1.94 0 [] p2(X13,X14)| -p2(X12,X13)| -p2(X12,X14).
% 1.72/1.94 0 [] p13(X8,X9)| -p13(X7,X8)| -p13(X7,X9).
% 1.72/1.94 0 [] p21(X26,X27)| -p4(X28,X26)| -p4(X29,X27)| -p21(X28,X29).
% 1.72/1.94 0 [] p22(X34,X35)| -p22(X37,X36)| -p4(X37,X34)| -p13(X36,X35).
% 1.72/1.94 0 [] p7(f11(X74,X75),f11(X76,X77))| -p10(X75,X77)| -p2(X74,X76).
% 1.72/1.94 0 [] p10(f12(X3,X4),f12(X5,X6))| -p2(X3,X5)| -p2(X4,X6).
% 1.72/1.94 0 [] p4(f15(X41,X42),f15(X43,X44))| -p4(X41,X43)| -p4(X42,X44).
% 1.72/1.94 0 [] p4(f19(X47,X48),f19(X49,X50))| -p4(X48,X50)| -p7(X47,X49).
% 1.72/1.94 0 [] p4(f6(X61,X62),f6(X63,X64))| -p4(X61,X63)| -p4(X62,X64).
% 1.72/1.94 0 [] p2(X15,f3(c24))|p22(f20(X17,X15,X18,X16),f14(f11(X17,f12(X15,X18)))).
% 1.72/1.94 0 [] p4(f9(X65,X66,X67),f9(X68,X69,X70))| -p7(X65,X68)| -p8(X66,X69)| -p4(X67,X70).
% 1.72/1.94 0 [] p4(f20(X51,X52,X53,X54),f20(X55,X56,X57,X58))| -p2(X53,X57)| -p4(X54,X58)| -p2(X51,X55)| -p2(X52,X56).
% 1.72/1.94 0 [] p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X33)))| -p22(X33,f14(f11(c25,f12(c23,c26)))).
% 1.72/1.94 0 [] -p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))).
% 1.72/1.94 0 [] p2(X15,f3(c24))|p21(f5(f6(X16,f20(X17,X15,X18,X16))),f5(f6(X16,X19)))| -p22(X19,f14(f11(X17,f12(X15,X18)))).
% 1.72/1.94 0 [] p2(X15,f3(c24))|p21(f5(f6(X16,f20(X17,X15,X18,X16))),f15(f19(f11(X17,f12(X15,X18)),X16),f16(f3(f17(f18(c24)))))).
% 1.72/1.94 end_of_list.
% 1.72/1.94
% 1.72/1.94 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.72/1.94
% 1.72/1.94 This is a non-Horn set without equality. The strategy will
% 1.72/1.94 be ordered hyper_res, unit deletion, and factoring, with
% 1.72/1.94 satellites in sos and with nuclei in usable.
% 1.72/1.94
% 1.72/1.94 dependent: set(hyper_res).
% 1.72/1.94 dependent: set(factor).
% 1.72/1.94 dependent: set(unit_deletion).
% 1.72/1.94
% 1.72/1.94 ------------> process usable:
% 1.72/1.94 ** KEPT (pick-wt=4): 1 [] -p2(c23,f3(c24)).
% 1.72/1.94 ** KEPT (pick-wt=8): 2 [] p13(f14(A),f14(B))| -p7(A,B).
% 1.72/1.94 ** KEPT (pick-wt=8): 3 [] p4(f5(A),f5(B))| -p4(A,B).
% 1.72/1.94 ** KEPT (pick-wt=8): 4 [] p4(f16(A),f16(B))| -p2(A,B).
% 1.72/1.94 ** KEPT (pick-wt=8): 5 [] p2(f3(A),f3(B))| -p2(A,B).
% 1.72/1.94 ** KEPT (pick-wt=8): 6 [] p2(f18(A),f18(B))| -p2(A,B).
% 1.72/1.94 ** KEPT (pick-wt=8): 7 [] p2(f17(A),f17(B))| -p2(A,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 8 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 9 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 10 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 11 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 12 [] p21(A,B)| -p21(A,C)| -p21(C,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 13 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.72/1.94 ** KEPT (pick-wt=9): 14 [] p13(A,B)| -p13(C,A)| -p13(C,B).
% 1.72/1.94 ** KEPT (pick-wt=12): 15 [] p21(A,B)| -p4(C,A)| -p4(D,B)| -p21(C,D).
% 1.72/1.94 ** KEPT (pick-wt=12): 16 [] p22(A,B)| -p22(C,D)| -p4(C,A)| -p13(D,B).
% 1.72/1.94 ** KEPT (pick-wt=13): 17 [] p7(f11(A,B),f11(C,D))| -p10(B,D)| -p2(A,C).
% 1.72/1.94 ** KEPT (pick-wt=13): 18 [] p10(f12(A,B),f12(C,D))| -p2(A,C)| -p2(B,D).
% 1.72/1.94 ** KEPT (pick-wt=13): 19 [] p4(f15(A,B),f15(C,D))| -p4(A,C)| -p4(B,D).
% 1.72/1.94 ** KEPT (pick-wt=13): 20 [] p4(f19(A,B),f19(C,D))| -p4(B,D)| -p7(A,C).
% 1.72/1.94 ** KEPT (pick-wt=13): 21 [] p4(f6(A,B),f6(C,D))| -p4(A,C)| -p4(B,D).
% 1.72/1.94 ** KEPT (pick-wt=18): 22 [] p4(f9(A,B,C),f9(D,E,F))| -p7(A,D)| -p8(B,E)| -p4(C,F).
% 1.72/1.94 ** KEPT (pick-wt=23): 23 [] p4(f20(A,B,C,D),f20(E,F,G,H))| -p2(C,G)| -p4(D,H)| -p2(A,E)| -p2(B,F).
% 1.72/1.94 ** KEPT (pick-wt=24): 24 [] p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,A)))| -p22(A,f14(f11(c25,f12(c23,c26)))).
% 1.72/1.94 ** KEPT (pick-wt=25): 25 [] -p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))).
% 1.72/1.94 ** KEPT (pick-wt=25): 26 [] p2(A,f3(c24))|p21(f5(f6(B,f20(C,A,D,B))),f5(f6(B,E)))| -p22(E,f14(f11(C,f12(A,D)))).
% 1.72/1.94
% 1.72/1.94 ------------> process sos:
% 1.72/1.94 ** KEPT (pick-wt=3): 41 [] p10(A,A).
% 1.72/1.94 ** KEPT (pick-wt=3): 42 [] p8(A,A).
% 1.72/1.94 ** KEPT (pick-wt=3): 43 [] p7(A,A).
% 1.72/1.94 ** KEPT (pick-wt=3): 44 [] p4(A,A).
% 1.72/1.94 ** KEPT (pick-wt=3): 45 [] p2(A,A).
% 1.72/1.94 ** KEPT (pick-wt=3): 46 [] p13(A,A).
% 1.72/1.94 ** KEPT (pick-wt=16): 47 [] p2(A,f3(c24))|p22(f20(B,A,C,D),f14(f11(B,f12(A,C)))).
% 1.72/1.94 ** KEPT (pick-wt=26): 48 [] p2(A,f3(c24))|p21(f5(f6(B,f20(C,A,D,B))),f15(f19(f11(C,f12(A,D)),B),f16(f3(f17(f18(c24)))))).
% 1.72/1.94 41 back subsumes 27.
% 1.72/1.94 42 back subsumes 28.
% 1.72/1.94 43 back subsumes 29.
% 1.72/1.94 44 back subsumes 30.
% 1.72/1.94 45 back subsumes 31.
% 1.72/1.94 46 back subsumes 32.
% 1.72/1.94
% 1.72/1.94 ======= end of input processing =======
% 1.72/1.94
% 1.72/1.94 =========== start of search ===========
% 1.72/1.94
% 1.72/1.94 -------- PROOF --------
% 1.72/1.94
% 1.72/1.94 -----> EMPTY CLAUSE at 0.01 sec ----> 51 [hyper,48,12,50,unit_del,1,25] $F.
% 1.72/1.94
% 1.72/1.94 Length of proof is 1. Level of proof is 1.
% 1.72/1.94
% 1.72/1.94 ---------------- PROOF ----------------
% 1.72/1.94 % SZS status Unsatisfiable
% 1.72/1.94 % SZS output start Refutation
% See solution above
% 1.72/1.94 ------------ end of proof -------------
% 1.72/1.94
% 1.72/1.94
% 1.72/1.94 Search stopped by max_proofs option.
% 1.72/1.94
% 1.72/1.94
% 1.72/1.94 Search stopped by max_proofs option.
% 1.72/1.94
% 1.72/1.94 ============ end of search ============
% 1.72/1.94
% 1.72/1.94 -------------- statistics -------------
% 1.72/1.94 clauses given 10
% 1.72/1.94 clauses generated 68
% 1.72/1.94 clauses kept 50
% 1.72/1.94 clauses forward subsumed 50
% 1.72/1.94 clauses back subsumed 6
% 1.72/1.94 Kbytes malloced 976
% 1.72/1.94
% 1.72/1.94 ----------- times (seconds) -----------
% 1.72/1.94 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.72/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.72/1.94
% 1.72/1.94 That finishes the proof of the theorem.
% 1.72/1.94
% 1.72/1.94 Process 29984 finished Wed Jul 27 11:20:10 2022
% 1.72/1.94 Otter interrupted
% 1.72/1.94 PROOF FOUND
%------------------------------------------------------------------------------