TSTP Solution File: SYN625-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN625-1 : 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 13:25:01 EDT 2022
% Result : Unsatisfiable 1.71s 1.94s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 8 unt; 7 nHn; 17 RR)
% Number of literals : 32 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 23 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p15(f4(f7(c19,c20),c21)),
file('SYN625-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p15(A)
| ~ p18(f9(A),B,B) ),
file('SYN625-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p17(A,f11(c20))
| ~ p16(f9(c21),A,c19) ),
file('SYN625-1.p',unknown),
[] ).
cnf(15,axiom,
( p16(A,B,C)
| ~ p16(A,B,D)
| ~ p16(A,D,C) ),
file('SYN625-1.p',unknown),
[] ).
cnf(24,axiom,
( p16(f9(A),B,C)
| p18(f9(A),B,D)
| ~ p18(f9(f4(f7(C,E),A)),B,D) ),
file('SYN625-1.p',unknown),
[] ).
cnf(25,axiom,
( p18(f9(A),B,C)
| p17(f12(A,D,E,B,C),f11(E))
| ~ p18(f9(f4(f7(D,E),A)),B,C) ),
file('SYN625-1.p',unknown),
[] ).
cnf(26,axiom,
( p18(f9(A),B,C)
| p16(f9(A),f12(A,D,E,B,C),C)
| ~ p18(f9(f4(f7(D,E),A)),B,C) ),
file('SYN625-1.p',unknown),
[] ).
cnf(41,axiom,
p15(c21),
file('SYN625-1.p',unknown),
[] ).
cnf(48,axiom,
( p15(A)
| p18(f9(A),f14(A),f14(A)) ),
file('SYN625-1.p',unknown),
[] ).
cnf(50,plain,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(hyper,[status(thm)],[48,1]),
[iquote('hyper,48,1')] ).
cnf(51,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))) ),
inference(hyper,[status(thm)],[50,26]),
[iquote('hyper,50,26')] ).
cnf(52,plain,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)) ),
inference(hyper,[status(thm)],[50,25]),
[iquote('hyper,50,25')] ).
cnf(53,plain,
( p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19)
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(hyper,[status(thm)],[50,24]),
[iquote('hyper,50,24')] ).
cnf(55,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(hyper,[status(thm)],[51,3,41]),
[iquote('hyper,51,3,41')] ).
cnf(57,plain,
p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
inference(hyper,[status(thm)],[53,3,41]),
[iquote('hyper,53,3,41')] ).
cnf(117,plain,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(hyper,[status(thm)],[55,15,57]),
[iquote('hyper,55,15,57')] ).
cnf(140,plain,
p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(hyper,[status(thm)],[117,8,52]),
[iquote('hyper,117,8,52')] ).
cnf(148,plain,
$false,
inference(hyper,[status(thm)],[140,3,41]),
[iquote('hyper,140,3,41')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % 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 11:07:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.71/1.93 ----- Otter 3.3f, August 2004 -----
% 1.71/1.93 The process was started by sandbox2 on n007.cluster.edu,
% 1.71/1.93 Wed Jul 27 11:07:31 2022
% 1.71/1.93 The command was "./otter". The process ID is 30021.
% 1.71/1.93
% 1.71/1.93 set(prolog_style_variables).
% 1.71/1.93 set(auto).
% 1.71/1.93 dependent: set(auto1).
% 1.71/1.93 dependent: set(process_input).
% 1.71/1.93 dependent: clear(print_kept).
% 1.71/1.93 dependent: clear(print_new_demod).
% 1.71/1.93 dependent: clear(print_back_demod).
% 1.71/1.93 dependent: clear(print_back_sub).
% 1.71/1.93 dependent: set(control_memory).
% 1.71/1.93 dependent: assign(max_mem, 12000).
% 1.71/1.93 dependent: assign(pick_given_ratio, 4).
% 1.71/1.93 dependent: assign(stats_level, 1).
% 1.71/1.93 dependent: assign(max_seconds, 10800).
% 1.71/1.93 clear(print_given).
% 1.71/1.93
% 1.71/1.93 list(usable).
% 1.71/1.93 0 [] p15(c21).
% 1.71/1.93 0 [] p10(X0,X0).
% 1.71/1.93 0 [] p8(X71,X71).
% 1.71/1.93 0 [] p6(X68,X68).
% 1.71/1.93 0 [] p5(X47,X47).
% 1.71/1.93 0 [] p3(X40,X40).
% 1.71/1.93 0 [] p2(X33,X33).
% 1.71/1.93 0 [] -p15(f4(f7(c19,c20),c21)).
% 1.71/1.93 0 [] p16(X14,X15,X16)| -p5(X15,X16).
% 1.71/1.93 0 [] -p15(X7)| -p18(f9(X7),X76,X76).
% 1.71/1.93 0 [] p15(X5)| -p15(X6)| -p3(X6,X5).
% 1.71/1.93 0 [] p10(f11(X3),f11(X4))| -p6(X3,X4).
% 1.71/1.93 0 [] p8(f9(X74),f9(X75))| -p3(X74,X75).
% 1.71/1.93 0 [] p5(f14(X66),f14(X67))| -p3(X66,X67).
% 1.71/1.93 0 [] p15(X7)|p18(f9(X7),f14(X7),f14(X7)).
% 1.71/1.93 0 [] -p17(X77,f11(c20))| -p16(f9(c21),X77,c19).
% 1.71/1.93 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.71/1.93 0 [] p8(X72,X73)| -p8(X71,X72)| -p8(X71,X73).
% 1.71/1.93 0 [] p6(X69,X70)| -p6(X68,X69)| -p6(X68,X70).
% 1.71/1.93 0 [] p5(X48,X49)| -p5(X47,X48)| -p5(X47,X49).
% 1.71/1.93 0 [] p3(X41,X42)| -p3(X40,X41)| -p3(X40,X42).
% 1.71/1.93 0 [] p2(X34,X35)| -p2(X33,X34)| -p2(X33,X35).
% 1.71/1.93 0 [] p16(X14,X15,X16)| -p16(X14,X15,X17)| -p16(X14,X17,X16).
% 1.71/1.93 0 [] p17(X23,X24)| -p17(X26,X25)| -p5(X26,X23)| -p10(X25,X24).
% 1.71/1.93 0 [] p3(f4(X43,X44),f4(X45,X46))| -p2(X43,X45)| -p3(X44,X46).
% 1.71/1.93 0 [] p2(f7(X36,X37),f7(X38,X39))| -p5(X36,X38)| -p6(X37,X39).
% 1.71/1.93 0 [] p5(X15,X16)|p16(X14,X15,f13(X14,X15,X16))| -p16(X14,X15,X16).
% 1.71/1.93 0 [] p5(X15,X16)|p16(X14,f13(X14,X15,X16),X16)| -p16(X14,X15,X16).
% 1.71/1.93 0 [] p16(X8,X9,X10)| -p8(X11,X8)| -p5(X13,X10)| -p5(X12,X9)| -p16(X11,X12,X13).
% 1.71/1.93 0 [] p18(X27,X28,X29)| -p8(X30,X27)| -p5(X32,X29)| -p5(X31,X28)| -p18(X30,X31,X32).
% 1.71/1.93 0 [] p5(f13(X60,X61,X62),f13(X63,X64,X65))| -p5(X62,X65)| -p8(X60,X63)| -p5(X61,X64).
% 1.71/1.93 0 [] p16(f9(X18),X19,X20)|p18(f9(X18),X19,X21)| -p18(f9(f4(f7(X20,X22),X18)),X19,X21).
% 1.71/1.93 0 [] p18(f9(X18),X19,X21)|p17(f12(X18,X20,X22,X19,X21),f11(X22))| -p18(f9(f4(f7(X20,X22),X18)),X19,X21).
% 1.71/1.93 0 [] p18(f9(X18),X19,X21)|p16(f9(X18),f12(X18,X20,X22,X19,X21),X21)| -p18(f9(f4(f7(X20,X22),X18)),X19,X21).
% 1.71/1.93 0 [] p5(f12(X50,X51,X52,X53,X54),f12(X55,X56,X57,X58,X59))| -p5(X54,X59)| -p6(X52,X57)| -p3(X50,X55)| -p5(X51,X56)| -p5(X53,X58).
% 1.71/1.93 end_of_list.
% 1.71/1.93
% 1.71/1.93 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.71/1.93
% 1.71/1.93 This is a non-Horn set without equality. The strategy will
% 1.71/1.93 be ordered hyper_res, unit deletion, and factoring, with
% 1.71/1.93 satellites in sos and with nuclei in usable.
% 1.71/1.93
% 1.71/1.93 dependent: set(hyper_res).
% 1.71/1.93 dependent: set(factor).
% 1.71/1.93 dependent: set(unit_deletion).
% 1.71/1.93
% 1.71/1.93 ------------> process usable:
% 1.71/1.93 ** KEPT (pick-wt=6): 1 [] -p15(f4(f7(c19,c20),c21)).
% 1.71/1.93 ** KEPT (pick-wt=7): 2 [] p16(A,B,C)| -p5(B,C).
% 1.71/1.93 ** KEPT (pick-wt=7): 3 [] -p15(A)| -p18(f9(A),B,B).
% 1.71/1.93 ** KEPT (pick-wt=7): 4 [] p15(A)| -p15(B)| -p3(B,A).
% 1.71/1.93 ** KEPT (pick-wt=8): 5 [] p10(f11(A),f11(B))| -p6(A,B).
% 1.71/1.93 ** KEPT (pick-wt=8): 6 [] p8(f9(A),f9(B))| -p3(A,B).
% 1.71/1.93 ** KEPT (pick-wt=8): 7 [] p5(f14(A),f14(B))| -p3(A,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 8 [] -p17(A,f11(c20))| -p16(f9(c21),A,c19).
% 1.71/1.93 ** KEPT (pick-wt=9): 9 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 10 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 11 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 12 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 13 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.71/1.93 ** KEPT (pick-wt=9): 14 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.71/1.93 ** KEPT (pick-wt=12): 15 [] p16(A,B,C)| -p16(A,B,D)| -p16(A,D,C).
% 1.71/1.93 ** KEPT (pick-wt=12): 16 [] p17(A,B)| -p17(C,D)| -p5(C,A)| -p10(D,B).
% 1.71/1.93 ** KEPT (pick-wt=13): 17 [] p3(f4(A,B),f4(C,D))| -p2(A,C)| -p3(B,D).
% 1.71/1.93 ** KEPT (pick-wt=13): 18 [] p2(f7(A,B),f7(C,D))| -p5(A,C)| -p6(B,D).
% 1.71/1.93 ** KEPT (pick-wt=14): 19 [] p5(A,B)|p16(C,A,f13(C,A,B))| -p16(C,A,B).
% 1.71/1.93 ** KEPT (pick-wt=14): 20 [] p5(A,B)|p16(C,f13(C,A,B),B)| -p16(C,A,B).
% 1.71/1.93 ** KEPT (pick-wt=17): 21 [] p16(A,B,C)| -p8(D,A)| -p5(E,C)| -p5(F,B)| -p16(D,F,E).
% 1.71/1.93 ** KEPT (pick-wt=17): 22 [] p18(A,B,C)| -p8(D,A)| -p5(E,C)| -p5(F,B)| -p18(D,F,E).
% 1.71/1.94 ** KEPT (pick-wt=18): 23 [] p5(f13(A,B,C),f13(D,E,F))| -p5(C,F)| -p8(A,D)| -p5(B,E).
% 1.71/1.94 ** KEPT (pick-wt=19): 24 [] p16(f9(A),B,C)|p18(f9(A),B,D)| -p18(f9(f4(f7(C,E),A)),B,D).
% 1.71/1.94 ** KEPT (pick-wt=23): 25 [] p18(f9(A),B,C)|p17(f12(A,D,E,B,C),f11(E))| -p18(f9(f4(f7(D,E),A)),B,C).
% 1.71/1.94 ** KEPT (pick-wt=24): 26 [] p18(f9(A),B,C)|p16(f9(A),f12(A,D,E,B,C),C)| -p18(f9(f4(f7(D,E),A)),B,C).
% 1.71/1.94 ** KEPT (pick-wt=28): 27 [] p5(f12(A,B,C,D,E),f12(F,G,H,I,J))| -p5(E,J)| -p6(C,H)| -p3(A,F)| -p5(B,G)| -p5(D,I).
% 1.71/1.94
% 1.71/1.94 ------------> process sos:
% 1.71/1.94 ** KEPT (pick-wt=2): 41 [] p15(c21).
% 1.71/1.94 ** KEPT (pick-wt=3): 42 [] p10(A,A).
% 1.71/1.94 ** KEPT (pick-wt=3): 43 [] p8(A,A).
% 1.71/1.94 ** KEPT (pick-wt=3): 44 [] p6(A,A).
% 1.71/1.94 ** KEPT (pick-wt=3): 45 [] p5(A,A).
% 1.71/1.94 ** KEPT (pick-wt=3): 46 [] p3(A,A).
% 1.71/1.94 ** KEPT (pick-wt=3): 47 [] p2(A,A).
% 1.71/1.94 ** KEPT (pick-wt=9): 48 [] p15(A)|p18(f9(A),f14(A),f14(A)).
% 1.71/1.94 42 back subsumes 28.
% 1.71/1.94 43 back subsumes 29.
% 1.71/1.94 44 back subsumes 30.
% 1.71/1.94 45 back subsumes 31.
% 1.71/1.94 46 back subsumes 32.
% 1.71/1.94 47 back subsumes 33.
% 1.71/1.94
% 1.71/1.94 ======= end of input processing =======
% 1.71/1.94
% 1.71/1.94 =========== start of search ===========
% 1.71/1.94
% 1.71/1.94 -------- PROOF --------
% 1.71/1.94
% 1.71/1.94 -----> EMPTY CLAUSE at 0.01 sec ----> 148 [hyper,140,3,41] $F.
% 1.71/1.94
% 1.71/1.94 Length of proof is 8. Level of proof is 5.
% 1.71/1.94
% 1.71/1.94 ---------------- PROOF ----------------
% 1.71/1.94 % SZS status Unsatisfiable
% 1.71/1.94 % SZS output start Refutation
% See solution above
% 1.71/1.94 ------------ end of proof -------------
% 1.71/1.94
% 1.71/1.94
% 1.71/1.94 Search stopped by max_proofs option.
% 1.71/1.94
% 1.71/1.94
% 1.71/1.94 Search stopped by max_proofs option.
% 1.71/1.94
% 1.71/1.94 ============ end of search ============
% 1.71/1.94
% 1.71/1.94 -------------- statistics -------------
% 1.71/1.94 clauses given 23
% 1.71/1.94 clauses generated 366
% 1.71/1.94 clauses kept 147
% 1.71/1.94 clauses forward subsumed 252
% 1.71/1.94 clauses back subsumed 22
% 1.71/1.94 Kbytes malloced 1953
% 1.71/1.94
% 1.71/1.94 ----------- times (seconds) -----------
% 1.71/1.94 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.71/1.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.71/1.94 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.71/1.94
% 1.71/1.94 That finishes the proof of the theorem.
% 1.71/1.94
% 1.71/1.94 Process 30021 finished Wed Jul 27 11:07:32 2022
% 1.71/1.94 Otter interrupted
% 1.71/1.94 PROOF FOUND
%------------------------------------------------------------------------------