%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN627-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 2.12s 2.33s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 16 unt; 0 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-5 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p3(c23,c24),
file('SYN627-1.p',unknown),
[] ).
cnf(9,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN627-1.p',unknown),
[] ).
cnf(11,axiom,
( p3(c24,f4(f7(c17,A),f14(A)))
| ~ p15(A,c19) ),
file('SYN627-1.p',unknown),
[] ).
cnf(14,axiom,
( p16(c17,c20,f9(c19,A),f14(A),c25)
| ~ p15(A,c19) ),
file('SYN627-1.p',unknown),
[] ).
cnf(18,axiom,
( p3(f4(A,B),f4(C,D))
| ~ p2(A,C)
| ~ p3(B,D) ),
file('SYN627-1.p',unknown),
[] ).
cnf(19,axiom,
( p3(A,B)
| ~ p16(c17,c20,C,B,D)
| ~ p16(c17,c20,C,A,c22) ),
file('SYN627-1.p',unknown),
[] ).
cnf(41,axiom,
p3(A,A),
file('SYN627-1.p',unknown),
[] ).
cnf(42,axiom,
p2(A,A),
file('SYN627-1.p',unknown),
[] ).
cnf(43,axiom,
p15(c18,c19),
file('SYN627-1.p',unknown),
[] ).
cnf(44,axiom,
p3(c23,f4(f7(c17,c18),c21)),
file('SYN627-1.p',unknown),
[] ).
cnf(45,axiom,
p16(c17,c20,f9(c19,c18),c21,c22),
file('SYN627-1.p',unknown),
[] ).
cnf(47,plain,
p16(c17,c20,f9(c19,c18),f14(c18),c25),
inference(hyper,[status(thm)],[43,14]),
[iquote('hyper,43,14')] ).
cnf(50,plain,
p3(c24,f4(f7(c17,c18),f14(c18))),
inference(hyper,[status(thm)],[43,11]),
[iquote('hyper,43,11')] ).
cnf(55,plain,
p3(f4(f7(c17,c18),c21),c23),
inference(hyper,[status(thm)],[44,9,41]),
[iquote('hyper,44,9,41')] ).
cnf(116,plain,
p3(f4(f7(c17,c18),f14(c18)),c24),
inference(hyper,[status(thm)],[50,9,41]),
[iquote('hyper,50,9,41')] ).
cnf(168,plain,
p3(c21,f14(c18)),
inference(hyper,[status(thm)],[47,19,45]),
[iquote('hyper,47,19,45')] ).
cnf(465,plain,
p3(f14(c18),c21),
inference(hyper,[status(thm)],[168,9,41]),
[iquote('hyper,168,9,41')] ).
cnf(568,plain,
p3(f4(A,f14(c18)),f4(A,c21)),
inference(hyper,[status(thm)],[465,18,42]),
[iquote('hyper,465,18,42')] ).
cnf(4213,plain,
p3(f4(f7(c17,c18),c21),c24),
inference(hyper,[status(thm)],[568,9,116]),
[iquote('hyper,568,9,116')] ).
cnf(5785,plain,
p3(c23,c24),
inference(hyper,[status(thm)],[4213,9,55]),
[iquote('hyper,4213,9,55')] ).
cnf(5786,plain,
$false,
inference(binary,[status(thm)],[5785,1]),
[iquote('binary,5785.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN627-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed Jul 27 11:31:07 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.58/1.80 ----- Otter 3.3f, August 2004 -----
% 1.58/1.80 The process was started by sandbox2 on n027.cluster.edu,
% 1.58/1.80 Wed Jul 27 11:31:07 2022
% 1.58/1.80 The command was "./otter". The process ID is 24276.
% 1.58/1.80
% 1.58/1.80 set(prolog_style_variables).
% 1.58/1.80 set(auto).
% 1.58/1.80 dependent: set(auto1).
% 1.58/1.80 dependent: set(process_input).
% 1.58/1.80 dependent: clear(print_kept).
% 1.58/1.80 dependent: clear(print_new_demod).
% 1.58/1.80 dependent: clear(print_back_demod).
% 1.58/1.80 dependent: clear(print_back_sub).
% 1.58/1.80 dependent: set(control_memory).
% 1.58/1.80 dependent: assign(max_mem, 12000).
% 1.58/1.80 dependent: assign(pick_given_ratio, 4).
% 1.58/1.80 dependent: assign(stats_level, 1).
% 1.58/1.80 dependent: assign(max_seconds, 10800).
% 1.58/1.80 clear(print_given).
% 1.58/1.80
% 1.58/1.80 list(usable).
% 1.58/1.80 0 [] p10(X0,X0).
% 1.58/1.80 0 [] p8(X70,X70).
% 1.58/1.80 0 [] p6(X67,X67).
% 1.58/1.80 0 [] p5(X64,X64).
% 1.58/1.80 0 [] p3(X40,X40).
% 1.58/1.80 0 [] p2(X33,X33).
% 1.58/1.80 0 [] p15(c18,c19).
% 1.58/1.80 0 [] -p3(c23,c24).
% 1.58/1.80 0 [] p3(c23,f4(f7(c17,c18),c21)).
% 1.58/1.80 0 [] p16(c17,c20,f9(c19,c18),c21,c22).
% 1.58/1.80 0 [] p3(f14(X55),f14(X56))| -p6(X55,X56).
% 1.58/1.80 0 [] p10(f12(X7),f12(X8))| -p10(X7,X8).
% 1.58/1.80 0 [] p3(f13(X53),f13(X54))| -p6(X53,X54).
% 1.58/1.80 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.58/1.80 0 [] p8(X71,X72)| -p8(X70,X71)| -p8(X70,X72).
% 1.58/1.80 0 [] p6(X68,X69)| -p6(X67,X68)| -p6(X67,X69).
% 1.58/1.80 0 [] p5(X65,X66)| -p5(X64,X65)| -p5(X64,X66).
% 1.58/1.80 0 [] p3(X41,X42)| -p3(X40,X41)| -p3(X40,X42).
% 1.58/1.80 0 [] p2(X34,X35)| -p2(X33,X34)| -p2(X33,X35).
% 1.58/1.80 0 [] p3(c24,f4(f7(c17,X32),f14(X32)))| -p15(X32,c19).
% 1.58/1.80 0 [] p3(c23,f4(f7(c17,X31),f13(X31)))| -p15(X31,c19).
% 1.58/1.80 0 [] p16(c17,c20,f9(c19,X31),f13(X31),c22)| -p15(X31,c19).
% 1.58/1.80 0 [] p16(c17,c20,f9(c19,X32),f14(X32),c25)| -p15(X32,c19).
% 1.58/1.80 0 [] p15(X12,X13)| -p6(X14,X12)| -p8(X15,X13)| -p15(X14,X15).
% 1.58/1.80 0 [] p8(f9(X73,X74),f9(X75,X76))| -p6(X74,X76)| -p8(X73,X75).
% 1.58/1.80 0 [] p2(f7(X36,X37),f7(X38,X39))| -p5(X36,X38)| -p6(X37,X39).
% 1.58/1.80 0 [] p3(f4(X57,X58),f4(X59,X60))| -p2(X57,X59)| -p3(X58,X60).
% 1.58/1.80 0 [] p3(X5,X6)| -p16(c17,c20,X4,X6,X3)| -p16(c17,c20,X4,X5,c22).
% 1.58/1.80 0 [] p10(c22,X3)| -p16(c17,c20,X4,X6,X3)| -p16(c17,c20,X4,X5,c22).
% 1.58/1.80 0 [] p3(X10,X11)| -p16(c17,c20,X9,X11,c25)| -p16(c17,c20,X9,X10,f12(c22)).
% 1.58/1.80 0 [] p10(f12(c22),c25)| -p16(c17,c20,X9,X11,c25)| -p16(c17,c20,X9,X10,f12(c22)).
% 1.58/1.80 0 [] p6(X61,X62)|p3(f4(f7(c17,X61),f4(f7(c17,X62),X63)),f4(f7(c17,X62),f4(f7(c17,X61),X63))).
% 1.58/1.80 0 [] p3(X30,f4(f7(c17,X28),f11(X26,X29,X27,X30,X28)))| -p15(X28,X27)| -p16(c17,X26,X27,X30,f12(X29)).
% 1.58/1.80 0 [] p16(c17,X26,f9(X27,X28),f11(X26,X29,X27,X30,X28),X29)| -p15(X28,X27)| -p16(c17,X26,X27,X30,f12(X29)).
% 1.58/1.80 0 [] p16(X16,X17,X18,X19,X20)| -p8(X24,X18)| -p5(X22,X16)| -p3(X25,X19)| -p3(X23,X17)| -p10(X21,X20)| -p16(X22,X23,X24,X25,X21).
% 1.58/1.80 0 [] p3(f11(X43,X44,X45,X46,X47),f11(X48,X49,X50,X51,X52))| -p6(X47,X52)| -p8(X45,X50)| -p10(X44,X49)| -p3(X43,X48)| -p3(X46,X51).
% 1.58/1.80 end_of_list.
% 1.58/1.80
% 1.58/1.80 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 1.58/1.80
% 1.58/1.80 This is a non-Horn set without equality. The strategy will
% 1.58/1.80 be ordered hyper_res, unit deletion, and factoring, with
% 1.58/1.80 satellites in sos and with nuclei in usable.
% 1.58/1.80
% 1.58/1.80 dependent: set(hyper_res).
% 1.58/1.80 dependent: set(factor).
% 1.58/1.80 dependent: set(unit_deletion).
% 1.58/1.80
% 1.58/1.80 ------------> process usable:
% 1.58/1.80 ** KEPT (pick-wt=3): 1 [] -p3(c23,c24).
% 1.58/1.80 ** KEPT (pick-wt=8): 2 [] p3(f14(A),f14(B))| -p6(A,B).
% 1.58/1.80 ** KEPT (pick-wt=8): 3 [] p10(f12(A),f12(B))| -p10(A,B).
% 1.58/1.80 ** KEPT (pick-wt=8): 4 [] p3(f13(A),f13(B))| -p6(A,B).
% 1.58/1.80 ** KEPT (pick-wt=9): 5 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.58/1.80 ** KEPT (pick-wt=9): 6 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.58/1.80 ** KEPT (pick-wt=9): 7 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.58/1.80 ** KEPT (pick-wt=9): 8 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.58/1.80 ** KEPT (pick-wt=9): 9 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.58/1.80 ** KEPT (pick-wt=9): 10 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.58/1.80 ** KEPT (pick-wt=11): 11 [] p3(c24,f4(f7(c17,A),f14(A)))| -p15(A,c19).
% 1.58/1.80 ** KEPT (pick-wt=11): 12 [] p3(c23,f4(f7(c17,A),f13(A)))| -p15(A,c19).
% 1.58/1.80 ** KEPT (pick-wt=12): 13 [] p16(c17,c20,f9(c19,A),f13(A),c22)| -p15(A,c19).
% 1.58/1.80 ** KEPT (pick-wt=12): 14 [] p16(c17,c20,f9(c19,A),f14(A),c25)| -p15(A,c19).
% 1.58/1.80 ** KEPT (pick-wt=12): 15 [] p15(A,B)| -p6(C,A)| -p8(D,B)| -p15(C,D).
% 1.58/1.80 ** KEPT (pick-wt=13): 16 [] p8(f9(A,B),f9(C,D))| -p6(B,D)| -p8(A,C).
% 1.58/1.80 ** KEPT (pick-wt=13): 17 [] p2(f7(A,B),f7(C,D))| -p5(A,C)| -p6(B,D).
% 1.58/1.80 ** KEPT (pick-wt=13): 18 [] p3(f4(A,B),f4(C,D))| -p2(A,C)| -p3(B,D).
% 1.58/1.80 ** KEPT (pick-wt=15): 19 [] p3(A,B)| -p16(c17,c20,C,B,D)| -p16(c17,c20,C,A,c22).
% 2.12/2.32 ** KEPT (pick-wt=15): 20 [] p10(c22,A)| -p16(c17,c20,B,C,A)| -p16(c17,c20,B,D,c22).
% 2.12/2.32 ** KEPT (pick-wt=16): 21 [] p3(A,B)| -p16(c17,c20,C,B,c25)| -p16(c17,c20,C,A,f12(c22)).
% 2.12/2.32 ** KEPT (pick-wt=17): 22 [] p10(f12(c22),c25)| -p16(c17,c20,A,B,c25)| -p16(c17,c20,A,C,f12(c22)).
% 2.12/2.32 ** KEPT (pick-wt=22): 23 [] p3(A,f4(f7(c17,B),f11(C,D,E,A,B)))| -p15(B,E)| -p16(c17,C,E,A,f12(D)).
% 2.12/2.32 ** KEPT (pick-wt=23): 24 [] p16(c17,A,f9(B,C),f11(A,D,B,E,C),D)| -p15(C,B)| -p16(c17,A,B,E,f12(D)).
% 2.12/2.32 ** KEPT (pick-wt=27): 25 [] p16(A,B,C,D,E)| -p8(F,C)| -p5(G,A)| -p3(H,D)| -p3(I,B)| -p10(J,E)| -p16(G,I,F,H,J).
% 2.12/2.32 ** KEPT (pick-wt=28): 26 [] p3(f11(A,B,C,D,E),f11(F,G,H,I,J))| -p6(E,J)| -p8(C,H)| -p10(B,G)| -p3(A,F)| -p3(D,I).
% 2.12/2.32
% 2.12/2.32 ------------> process sos:
% 2.12/2.32 ** KEPT (pick-wt=3): 37 [] p10(A,A).
% 2.12/2.32 ** KEPT (pick-wt=3): 38 [] p8(A,A).
% 2.12/2.32 ** KEPT (pick-wt=3): 39 [] p6(A,A).
% 2.12/2.32 ** KEPT (pick-wt=3): 40 [] p5(A,A).
% 2.12/2.32 ** KEPT (pick-wt=3): 41 [] p3(A,A).
% 2.12/2.32 ** KEPT (pick-wt=3): 42 [] p2(A,A).
% 2.12/2.32 ** KEPT (pick-wt=3): 43 [] p15(c18,c19).
% 2.12/2.33 ** KEPT (pick-wt=7): 44 [] p3(c23,f4(f7(c17,c18),c21)).
% 2.12/2.33 ** KEPT (pick-wt=8): 45 [] p16(c17,c20,f9(c19,c18),c21,c22).
% 2.12/2.33 ** KEPT (pick-wt=22): 46 [] p6(A,B)|p3(f4(f7(c17,A),f4(f7(c17,B),C)),f4(f7(c17,B),f4(f7(c17,A),C))).
% 2.12/2.33 37 back subsumes 34.
% 2.12/2.33 37 back subsumes 27.
% 2.12/2.33 38 back subsumes 28.
% 2.12/2.33 39 back subsumes 29.
% 2.12/2.33 40 back subsumes 30.
% 2.12/2.33 41 back subsumes 33.
% 2.12/2.33 41 back subsumes 31.
% 2.12/2.33 42 back subsumes 32.
% 2.12/2.33
% 2.12/2.33 ======= end of input processing =======
% 2.12/2.33
% 2.12/2.33 =========== start of search ===========
% 2.12/2.33
% 2.12/2.33 -------- PROOF --------
% 2.12/2.33
% 2.12/2.33 ----> UNIT CONFLICT at 0.53 sec ----> 5786 [binary,5785.1,1.1] $F.
% 2.12/2.33
% 2.12/2.33 Length of proof is 9. Level of proof is 6.
% 2.12/2.33
% 2.12/2.33 ---------------- PROOF ----------------
% 2.12/2.33 % SZS status Unsatisfiable
% 2.12/2.33 % SZS output start Refutation
% See solution above
% 2.12/2.33 ------------ end of proof -------------
% 2.12/2.33
% 2.12/2.33
% 2.12/2.33 Search stopped by max_proofs option.
% 2.12/2.33
% 2.12/2.33
% 2.12/2.33 Search stopped by max_proofs option.
% 2.12/2.33
% 2.12/2.33 ============ end of search ============
% 2.12/2.33
% 2.12/2.33 -------------- statistics -------------
% 2.12/2.33 clauses given 37
% 2.12/2.33 clauses generated 6260
% 2.12/2.33 clauses kept 5785
% 2.12/2.33 clauses forward subsumed 511
% 2.12/2.33 clauses back subsumed 93
% 2.12/2.33 Kbytes malloced 4882
% 2.12/2.33
% 2.12/2.33 ----------- times (seconds) -----------
% 2.12/2.33 user CPU time 0.53 (0 hr, 0 min, 0 sec)
% 2.12/2.33 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.12/2.33 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.12/2.33
% 2.12/2.33 That finishes the proof of the theorem.
% 2.12/2.33
% 2.12/2.33 Process 24276 finished Wed Jul 27 11:31:09 2022
% 2.12/2.33 Otter interrupted
% 2.12/2.33 PROOF FOUND
%------------------------------------------------------------------------------