TSTP Solution File: SYN652-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n007.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 1.78s 1.95s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 10 RR)
% Number of literals : 20 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('SYN652-1.p',unknown),
[] ).
cnf(6,axiom,
( p4(A,B)
| ~ p4(C,A)
| ~ p4(C,B) ),
file('SYN652-1.p',unknown),
[] ).
cnf(23,axiom,
( p4(f15(A,B),f15(C,D))
| ~ p14(A,C)
| ~ p4(B,D) ),
file('SYN652-1.p',unknown),
[] ).
cnf(28,axiom,
( p4(f5(c31,A),f5(c31,B))
| ~ p27(f8(f10(c28,f13(c29,c30)),A),B) ),
file('SYN652-1.p',unknown),
[] ).
cnf(33,axiom,
p4(A,A),
file('SYN652-1.p',unknown),
[] ).
cnf(42,axiom,
p14(A,A),
file('SYN652-1.p',unknown),
[] ).
cnf(44,axiom,
p4(c34,f5(c35,c32)),
file('SYN652-1.p',unknown),
[] ).
cnf(45,axiom,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('SYN652-1.p',unknown),
[] ).
cnf(46,axiom,
p4(f15(f17(c36,A),f5(c35,B)),f5(A,B)),
file('SYN652-1.p',unknown),
[] ).
cnf(49,plain,
p4(f5(c35,c32),c34),
inference(hyper,[status(thm)],[44,6,33]),
[iquote('hyper,44,6,33')] ).
cnf(50,plain,
p4(f15(A,f5(c35,c32)),f15(A,c34)),
inference(hyper,[status(thm)],[49,23,42]),
[iquote('hyper,49,23,42')] ).
cnf(51,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(hyper,[status(thm)],[45,28]),
[iquote('hyper,45,28')] ).
cnf(59,plain,
p4(f5(A,c32),f15(f17(c36,A),c34)),
inference(hyper,[status(thm)],[50,6,46]),
[iquote('hyper,50,6,46')] ).
cnf(62,plain,
p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(hyper,[status(thm)],[59,6,51]),
[iquote('hyper,59,6,51')] ).
cnf(63,plain,
$false,
inference(binary,[status(thm)],[62,1]),
[iquote('binary,62.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n007.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 10:58:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.78/1.94 ----- Otter 3.3f, August 2004 -----
% 1.78/1.94 The process was started by sandbox on n007.cluster.edu,
% 1.78/1.94 Wed Jul 27 10:58:31 2022
% 1.78/1.94 The command was "./otter". The process ID is 13462.
% 1.78/1.94
% 1.78/1.94 set(prolog_style_variables).
% 1.78/1.94 set(auto).
% 1.78/1.94 dependent: set(auto1).
% 1.78/1.94 dependent: set(process_input).
% 1.78/1.94 dependent: clear(print_kept).
% 1.78/1.94 dependent: clear(print_new_demod).
% 1.78/1.94 dependent: clear(print_back_demod).
% 1.78/1.94 dependent: clear(print_back_sub).
% 1.78/1.94 dependent: set(control_memory).
% 1.78/1.94 dependent: assign(max_mem, 12000).
% 1.78/1.94 dependent: assign(pick_given_ratio, 4).
% 1.78/1.94 dependent: assign(stats_level, 1).
% 1.78/1.94 dependent: assign(max_seconds, 10800).
% 1.78/1.94 clear(print_given).
% 1.78/1.94
% 1.78/1.94 list(usable).
% 1.78/1.94 0 [] p11(X0,X0).
% 1.78/1.94 0 [] p9(X93,X93).
% 1.78/1.94 0 [] p7(X86,X86).
% 1.78/1.94 0 [] p6(X75,X75).
% 1.78/1.94 0 [] p4(X53,X53).
% 1.78/1.94 0 [] p3(X50,X50).
% 1.78/1.94 0 [] p25(X43,X43).
% 1.78/1.94 0 [] p23(X40,X40).
% 1.78/1.94 0 [] p21(X33,X33).
% 1.78/1.94 0 [] p2(X30,X30).
% 1.78/1.94 0 [] p19(X23,X23).
% 1.78/1.94 0 [] p18(X16,X16).
% 1.78/1.94 0 [] p16(X13,X13).
% 1.78/1.94 0 [] p14(X6,X6).
% 1.78/1.94 0 [] p12(X3,X3).
% 1.78/1.94 0 [] p4(c34,f5(c35,c32)).
% 1.78/1.94 0 [] p27(f8(f10(c28,f13(c29,c30)),c32),c33).
% 1.78/1.94 0 [] -p4(f5(c31,c33),f15(f17(c36,c31),c34)).
% 1.78/1.95 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.78/1.95 0 [] p9(X94,X95)| -p9(X93,X94)| -p9(X93,X95).
% 1.78/1.95 0 [] p7(X87,X88)| -p7(X86,X87)| -p7(X86,X88).
% 1.78/1.95 0 [] p6(X76,X77)| -p6(X75,X76)| -p6(X75,X77).
% 1.78/1.95 0 [] p4(X54,X55)| -p4(X53,X54)| -p4(X53,X55).
% 1.78/1.95 0 [] p3(X51,X52)| -p3(X50,X51)| -p3(X50,X52).
% 1.78/1.95 0 [] p25(X44,X45)| -p25(X43,X44)| -p25(X43,X45).
% 1.78/1.95 0 [] p23(X41,X42)| -p23(X40,X41)| -p23(X40,X42).
% 1.78/1.95 0 [] p21(X34,X35)| -p21(X33,X34)| -p21(X33,X35).
% 1.78/1.95 0 [] p2(X31,X32)| -p2(X30,X31)| -p2(X30,X32).
% 1.78/1.95 0 [] p19(X24,X25)| -p19(X23,X24)| -p19(X23,X25).
% 1.78/1.95 0 [] p18(X17,X18)| -p18(X16,X17)| -p18(X16,X18).
% 1.78/1.95 0 [] p16(X14,X15)| -p16(X13,X14)| -p16(X13,X15).
% 1.78/1.95 0 [] p14(X7,X8)| -p14(X6,X7)| -p14(X6,X8).
% 1.78/1.95 0 [] p12(X4,X5)| -p12(X3,X4)| -p12(X3,X5).
% 1.78/1.95 0 [] p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)).
% 1.78/1.95 0 [] p27(X46,X47)| -p3(X49,X47)| -p7(X48,X46)| -p27(X48,X49).
% 1.78/1.95 0 [] p7(f8(X89,X90),f8(X91,X92))| -p3(X90,X92)| -p6(X89,X91).
% 1.78/1.95 0 [] p14(f17(X9,X10),f17(X11,X12))| -p16(X9,X11)| -p2(X10,X12).
% 1.78/1.95 0 [] p18(f26(X19,X20),f26(X21,X22))| -p25(X19,X21)| -p3(X20,X22).
% 1.78/1.95 0 [] p19(f22(X26,X27),f22(X28,X29))| -p19(X27,X29)| -p21(X26,X28).
% 1.78/1.95 0 [] p21(f24(X36,X37),f24(X38,X39))| -p14(X37,X39)| -p23(X36,X38).
% 1.78/1.95 0 [] p4(f15(X56,X57),f15(X58,X59))| -p14(X56,X58)| -p4(X57,X59).
% 1.78/1.95 0 [] p4(f20(X65,X66),f20(X67,X68))| -p18(X65,X67)| -p19(X66,X68).
% 1.78/1.95 0 [] p4(f5(X69,X70),f5(X71,X72))| -p2(X69,X71)| -p3(X70,X72).
% 1.78/1.95 0 [] p6(f10(X78,X79),f10(X80,X81))| -p6(X79,X81)| -p9(X78,X80).
% 1.78/1.95 0 [] p6(f13(X82,X83),f13(X84,X85))| -p11(X82,X84)| -p12(X83,X85).
% 1.78/1.95 0 [] p4(f5(c31,X73),f5(c31,X74))| -p27(f8(f10(c28,f13(c29,c30)),X73),X74).
% 1.78/1.95 0 [] p4(f15(f17(c36,X62),f20(f26(c37,X63),X64)),f20(f26(c37,X63),f22(f24(c38,f17(c36,X62)),X64))).
% 1.78/1.95 end_of_list.
% 1.78/1.95
% 1.78/1.95 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 1.78/1.95
% 1.78/1.95 This is a Horn set without equality. The strategy will
% 1.78/1.95 be hyperresolution, with satellites in sos and nuclei
% 1.78/1.95 in usable.
% 1.78/1.95
% 1.78/1.95 dependent: set(hyper_res).
% 1.78/1.95 dependent: clear(order_hyper).
% 1.78/1.95
% 1.78/1.95 ------------> process usable:
% 1.78/1.95 ** KEPT (pick-wt=9): 1 [] -p4(f5(c31,c33),f15(f17(c36,c31),c34)).
% 1.78/1.95 ** KEPT (pick-wt=9): 2 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 3 [] p9(A,B)| -p9(C,A)| -p9(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 4 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 5 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 6 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 7 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 8 [] p25(A,B)| -p25(C,A)| -p25(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 9 [] p23(A,B)| -p23(C,A)| -p23(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 10 [] p21(A,B)| -p21(C,A)| -p21(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 11 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 12 [] p19(A,B)| -p19(C,A)| -p19(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 13 [] p18(A,B)| -p18(C,A)| -p18(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 14 [] p16(A,B)| -p16(C,A)| -p16(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 15 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 1.78/1.95 ** KEPT (pick-wt=9): 16 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 1.78/1.95 ** KEPT (pick-wt=12): 17 [] p27(A,B)| -p3(C,B)| -p7(D,A)| -p27(D,C).
% 1.78/1.95 ** KEPT (pick-wt=13): 18 [] p7(f8(A,B),f8(C,D))| -p3(B,D)| -p6(A,C).
% 1.78/1.95 ** KEPT (pick-wt=13): 19 [] p14(f17(A,B),f17(C,D))| -p16(A,C)| -p2(B,D).
% 1.78/1.95 ** KEPT (pick-wt=13): 20 [] p18(f26(A,B),f26(C,D))| -p25(A,C)| -p3(B,D).
% 1.78/1.95 ** KEPT (pick-wt=13): 21 [] p19(f22(A,B),f22(C,D))| -p19(B,D)| -p21(A,C).
% 1.78/1.95 ** KEPT (pick-wt=13): 22 [] p21(f24(A,B),f24(C,D))| -p14(B,D)| -p23(A,C).
% 1.78/1.95 ** KEPT (pick-wt=13): 23 [] p4(f15(A,B),f15(C,D))| -p14(A,C)| -p4(B,D).
% 1.78/1.95 ** KEPT (pick-wt=13): 24 [] p4(f20(A,B),f20(C,D))| -p18(A,C)| -p19(B,D).
% 1.78/1.95 ** KEPT (pick-wt=13): 25 [] p4(f5(A,B),f5(C,D))| -p2(A,C)| -p3(B,D).
% 1.78/1.95 ** KEPT (pick-wt=13): 26 [] p6(f10(A,B),f10(C,D))| -p6(B,D)| -p9(A,C).
% 1.78/1.95 ** KEPT (pick-wt=13): 27 [] p6(f13(A,B),f13(C,D))| -p11(A,C)| -p12(B,D).
% 1.78/1.95 ** KEPT (pick-wt=16): 28 [] p4(f5(c31,A),f5(c31,B))| -p27(f8(f10(c28,f13(c29,c30)),A),B).
% 1.78/1.95
% 1.78/1.95 ------------> process sos:
% 1.78/1.95 ** KEPT (pick-wt=3): 29 [] p11(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 30 [] p9(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 31 [] p7(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 32 [] p6(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 33 [] p4(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 34 [] p3(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 35 [] p25(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 36 [] p23(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 37 [] p21(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 38 [] p2(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 39 [] p19(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 40 [] p18(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 41 [] p16(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 42 [] p14(A,A).
% 1.78/1.95 ** KEPT (pick-wt=3): 43 [] p12(A,A).
% 1.78/1.95 ** KEPT (pick-wt=5): 44 [] p4(c34,f5(c35,c32)).
% 1.78/1.95 ** KEPT (pick-wt=9): 45 [] p27(f8(f10(c28,f13(c29,c30)),c32),c33).
% 1.78/1.95 ** KEPT (pick-wt=11): 46 [] p4(f15(f17(c36,A),f5(c35,B)),f5(A,B)).
% 1.78/1.95 ** KEPT (pick-wt=21): 47 [] p4(f15(f17(c36,A),f20(f26(c37,B),C)),f20(f26(c37,B),f22(f24(c38,f17(c36,A)),C))).
% 1.78/1.95
% 1.78/1.95 ======= end of input processing =======
% 1.78/1.95
% 1.78/1.95 =========== start of search ===========
% 1.78/1.95
% 1.78/1.95 -------- PROOF --------
% 1.78/1.95
% 1.78/1.95 ----> UNIT CONFLICT at 0.00 sec ----> 63 [binary,62.1,1.1] $F.
% 1.78/1.95
% 1.78/1.95 Length of proof is 5. Level of proof is 4.
% 1.78/1.95
% 1.78/1.95 ---------------- PROOF ----------------
% 1.78/1.95 % SZS status Unsatisfiable
% 1.78/1.95 % SZS output start Refutation
% See solution above
% 1.78/1.95 ------------ end of proof -------------
% 1.78/1.95
% 1.78/1.95
% 1.78/1.95 Search stopped by max_proofs option.
% 1.78/1.95
% 1.78/1.95
% 1.78/1.95 Search stopped by max_proofs option.
% 1.78/1.95
% 1.78/1.95 ============ end of search ============
% 1.78/1.95
% 1.78/1.95 -------------- statistics -------------
% 1.78/1.95 clauses given 24
% 1.78/1.95 clauses generated 82
% 1.78/1.95 clauses kept 62
% 1.78/1.95 clauses forward subsumed 67
% 1.78/1.95 clauses back subsumed 0
% 1.78/1.95 Kbytes malloced 976
% 1.78/1.95
% 1.78/1.95 ----------- times (seconds) -----------
% 1.78/1.95 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.78/1.95 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.78/1.95 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.78/1.95
% 1.78/1.95 That finishes the proof of the theorem.
% 1.78/1.95
% 1.78/1.95 Process 13462 finished Wed Jul 27 10:58:32 2022
% 1.78/1.95 Otter interrupted
% 1.78/1.95 PROOF FOUND
%------------------------------------------------------------------------------