TSTP Solution File: SYN623-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN623-1 : 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 1.80s 1.97s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 15 unt; 2 nHn; 19 RR)
% Number of literals : 36 ( 0 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p16(c22,c21),
file('SYN623-1.p',unknown),
[] ).
cnf(6,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN623-1.p',unknown),
[] ).
cnf(11,axiom,
( p16(f4(c25,A),B)
| ~ p16(f4(f6(c27,c25),A),B) ),
file('SYN623-1.p',unknown),
[] ).
cnf(12,axiom,
( p16(A,B)
| ~ p3(C,A)
| ~ p8(D,B)
| ~ p16(C,D) ),
file('SYN623-1.p',unknown),
[] ).
cnf(20,axiom,
( p16(f4(A,B),C)
| ~ p2(A,D)
| ~ p18(c26,D)
| ~ p16(f4(c19,B),C)
| ~ p16(f4(D,f13(f15(c28,A),D)),f9(f11(c29,A),D)) ),
file('SYN623-1.p',unknown),
[] ).
cnf(21,axiom,
( p16(f4(A,B),C)
| p16(f4(f6(c27,D),f13(f15(c28,A),D)),f9(f11(c29,A),D))
| ~ p2(A,D)
| ~ p18(c26,D)
| ~ p16(f4(c19,B),C) ),
file('SYN623-1.p',unknown),
[] ).
cnf(34,axiom,
p8(A,A),
file('SYN623-1.p',unknown),
[] ).
cnf(37,axiom,
p3(A,A),
file('SYN623-1.p',unknown),
[] ).
cnf(42,axiom,
p18(c26,c25),
file('SYN623-1.p',unknown),
[] ).
cnf(43,axiom,
p3(c22,c23),
file('SYN623-1.p',unknown),
[] ).
cnf(44,axiom,
p2(c24,c25),
file('SYN623-1.p',unknown),
[] ).
cnf(45,axiom,
p3(c23,f4(c24,c20)),
file('SYN623-1.p',unknown),
[] ).
cnf(46,axiom,
p16(f4(c19,c20),c21),
file('SYN623-1.p',unknown),
[] ).
cnf(48,plain,
p3(c23,c22),
inference(hyper,[status(thm)],[43,6,37]),
[iquote('hyper,43,6,37')] ).
cnf(72,plain,
p3(f4(c24,c20),c22),
inference(hyper,[status(thm)],[45,6,48]),
[iquote('hyper,45,6,48')] ).
cnf(75,plain,
( p16(f4(c24,c20),c21)
| p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)) ),
inference(hyper,[status(thm)],[46,21,44,42]),
[iquote('hyper,46,21,44,42')] ).
cnf(243,plain,
p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[75,12,72,34]),1]),
[iquote('hyper,75,12,72,34,unit_del,1')] ).
cnf(1600,plain,
p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)),
inference(hyper,[status(thm)],[243,11]),
[iquote('hyper,243,11')] ).
cnf(1601,plain,
p16(f4(c24,c20),c21),
inference(hyper,[status(thm)],[1600,20,44,42,46]),
[iquote('hyper,1600,20,44,42,46')] ).
cnf(1618,plain,
p16(c22,c21),
inference(hyper,[status(thm)],[1601,12,72,34]),
[iquote('hyper,1601,12,72,34')] ).
cnf(1619,plain,
$false,
inference(binary,[status(thm)],[1618,1]),
[iquote('binary,1618.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN623-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 11:03:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.73/1.90 ----- Otter 3.3f, August 2004 -----
% 1.73/1.90 The process was started by sandbox2 on n014.cluster.edu,
% 1.73/1.90 Wed Jul 27 11:03:24 2022
% 1.73/1.90 The command was "./otter". The process ID is 15447.
% 1.73/1.90
% 1.73/1.90 set(prolog_style_variables).
% 1.73/1.90 set(auto).
% 1.73/1.90 dependent: set(auto1).
% 1.73/1.90 dependent: set(process_input).
% 1.73/1.90 dependent: clear(print_kept).
% 1.73/1.90 dependent: clear(print_new_demod).
% 1.73/1.90 dependent: clear(print_back_demod).
% 1.73/1.90 dependent: clear(print_back_sub).
% 1.73/1.90 dependent: set(control_memory).
% 1.73/1.90 dependent: assign(max_mem, 12000).
% 1.73/1.90 dependent: assign(pick_given_ratio, 4).
% 1.73/1.90 dependent: assign(stats_level, 1).
% 1.73/1.90 dependent: assign(max_seconds, 10800).
% 1.73/1.90 clear(print_given).
% 1.73/1.90
% 1.73/1.90 list(usable).
% 1.73/1.90 0 [] p10(X0,X0).
% 1.73/1.90 0 [] p8(X58,X58).
% 1.73/1.90 0 [] p7(X51,X51).
% 1.73/1.90 0 [] p5(X48,X48).
% 1.73/1.90 0 [] p3(X37,X37).
% 1.73/1.90 0 [] p2(X30,X30).
% 1.73/1.90 0 [] p17(X23,X23).
% 1.73/1.90 0 [] p14(X10,X10).
% 1.73/1.90 0 [] p12(X3,X3).
% 1.73/1.90 0 [] p18(c26,c25).
% 1.73/1.90 0 [] p3(c22,c23).
% 1.73/1.90 0 [] p2(c24,c25).
% 1.73/1.90 0 [] -p16(c22,c21).
% 1.73/1.90 0 [] p3(c23,f4(c24,c20)).
% 1.73/1.90 0 [] p16(f4(c19,c20),c21).
% 1.73/1.90 0 [] p10(X1,X2)| -p10(X0,X1)| -p10(X0,X2).
% 1.73/1.90 0 [] p8(X59,X60)| -p8(X58,X59)| -p8(X58,X60).
% 1.73/1.90 0 [] p7(X52,X53)| -p7(X51,X52)| -p7(X51,X53).
% 1.73/1.90 0 [] p5(X49,X50)| -p5(X48,X49)| -p5(X48,X50).
% 1.73/1.90 0 [] p3(X38,X39)| -p3(X37,X38)| -p3(X37,X39).
% 1.73/1.90 0 [] p2(X31,X32)| -p2(X30,X31)| -p2(X30,X32).
% 1.73/1.90 0 [] p17(X24,X25)| -p17(X23,X24)| -p17(X23,X25).
% 1.73/1.90 0 [] p14(X11,X12)| -p14(X10,X11)| -p14(X10,X12).
% 1.73/1.90 0 [] p12(X4,X5)| -p12(X3,X4)| -p12(X3,X5).
% 1.73/1.90 0 [] p16(f4(c25,X21),X22)| -p16(f4(f6(c27,c25),X21),X22).
% 1.73/1.90 0 [] p16(X13,X14)| -p3(X15,X13)| -p8(X16,X14)| -p16(X15,X16).
% 1.73/1.90 0 [] p18(X26,X27)| -p18(X28,X29)| -p2(X29,X27)| -p17(X28,X26).
% 1.73/1.90 0 [] p8(f9(X61,X62),f9(X63,X64))| -p2(X62,X64)| -p7(X61,X63).
% 1.73/1.90 0 [] p12(f15(X6,X7),f15(X8,X9))| -p14(X6,X8)| -p2(X7,X9).
% 1.73/1.90 0 [] p2(f6(X33,X34),f6(X35,X36))| -p2(X34,X36)| -p5(X33,X35).
% 1.73/1.90 0 [] p3(f13(X40,X41),f13(X42,X43))| -p12(X40,X42)| -p2(X41,X43).
% 1.73/1.90 0 [] p3(f4(X44,X45),f4(X46,X47))| -p2(X44,X46)| -p3(X45,X47).
% 1.73/1.90 0 [] p7(f11(X54,X55),f11(X56,X57))| -p10(X54,X56)| -p2(X55,X57).
% 1.73/1.90 0 [] p16(f4(X17,X18),X19)| -p2(X17,X20)| -p18(c26,X20)| -p16(f4(c19,X18),X19)| -p16(f4(X20,f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20)).
% 1.73/1.90 0 [] p16(f4(X17,X18),X19)|p16(f4(f6(c27,X20),f13(f15(c28,X17),X20)),f9(f11(c29,X17),X20))| -p2(X17,X20)| -p18(c26,X20)| -p16(f4(c19,X18),X19).
% 1.73/1.90 end_of_list.
% 1.73/1.90
% 1.73/1.90 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.73/1.90
% 1.73/1.90 This is a non-Horn set without equality. The strategy will
% 1.73/1.90 be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.90 satellites in sos and with nuclei in usable.
% 1.73/1.90
% 1.73/1.90 dependent: set(hyper_res).
% 1.73/1.90 dependent: set(factor).
% 1.73/1.90 dependent: set(unit_deletion).
% 1.73/1.90
% 1.73/1.90 ------------> process usable:
% 1.73/1.90 ** KEPT (pick-wt=3): 1 [] -p16(c22,c21).
% 1.73/1.90 ** KEPT (pick-wt=9): 2 [] p10(A,B)| -p10(C,A)| -p10(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 3 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 4 [] p7(A,B)| -p7(C,A)| -p7(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 5 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 6 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 7 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 8 [] p17(A,B)| -p17(C,A)| -p17(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 9 [] p14(A,B)| -p14(C,A)| -p14(C,B).
% 1.73/1.90 ** KEPT (pick-wt=9): 10 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 1.73/1.90 ** KEPT (pick-wt=12): 11 [] p16(f4(c25,A),B)| -p16(f4(f6(c27,c25),A),B).
% 1.73/1.90 ** KEPT (pick-wt=12): 12 [] p16(A,B)| -p3(C,A)| -p8(D,B)| -p16(C,D).
% 1.73/1.90 ** KEPT (pick-wt=12): 13 [] p18(A,B)| -p18(C,D)| -p2(D,B)| -p17(C,A).
% 1.73/1.90 ** KEPT (pick-wt=13): 14 [] p8(f9(A,B),f9(C,D))| -p2(B,D)| -p7(A,C).
% 1.73/1.90 ** KEPT (pick-wt=13): 15 [] p12(f15(A,B),f15(C,D))| -p14(A,C)| -p2(B,D).
% 1.73/1.90 ** KEPT (pick-wt=13): 16 [] p2(f6(A,B),f6(C,D))| -p2(B,D)| -p5(A,C).
% 1.73/1.90 ** KEPT (pick-wt=13): 17 [] p3(f13(A,B),f13(C,D))| -p12(A,C)| -p2(B,D).
% 1.73/1.90 ** KEPT (pick-wt=13): 18 [] p3(f4(A,B),f4(C,D))| -p2(A,C)| -p3(B,D).
% 1.73/1.90 ** KEPT (pick-wt=13): 19 [] p7(f11(A,B),f11(C,D))| -p10(A,C)| -p2(B,D).
% 1.73/1.90 ** KEPT (pick-wt=29): 20 [] p16(f4(A,B),C)| -p2(A,D)| -p18(c26,D)| -p16(f4(c19,B),C)| -p16(f4(D,f13(f15(c28,A),D)),f9(f11(c29,A),D)).
% 1.73/1.90 ** KEPT (pick-wt=31): 21 [] p16(f4(A,B),C)|p16(f4(f6(c27,D),f13(f15(c28,A),D)),f9(f11(c29,A),D))| -p2(A,D)| -p18(c26,D)| -p16(f4(c19,B),C).
% 1.73/1.90
% 1.73/1.90 ------------> process sos:
% 1.73/1.90 ** KEPT (pick-wt=3): 33 [] p10(A,A).
% 1.73/1.90 ** KEPT (pick-wt=3): 34 [] p8(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 35 [] p7(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 36 [] p5(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 37 [] p3(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 38 [] p2(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 39 [] p17(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 40 [] p14(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 41 [] p12(A,A).
% 1.80/1.97 ** KEPT (pick-wt=3): 42 [] p18(c26,c25).
% 1.80/1.97 ** KEPT (pick-wt=3): 43 [] p3(c22,c23).
% 1.80/1.97 ** KEPT (pick-wt=3): 44 [] p2(c24,c25).
% 1.80/1.97 ** KEPT (pick-wt=5): 45 [] p3(c23,f4(c24,c20)).
% 1.80/1.97 ** KEPT (pick-wt=5): 46 [] p16(f4(c19,c20),c21).
% 1.80/1.97 33 back subsumes 22.
% 1.80/1.97 34 back subsumes 23.
% 1.80/1.97 35 back subsumes 24.
% 1.80/1.97 36 back subsumes 25.
% 1.80/1.97 37 back subsumes 26.
% 1.80/1.97 38 back subsumes 27.
% 1.80/1.97 39 back subsumes 28.
% 1.80/1.97 40 back subsumes 29.
% 1.80/1.97 41 back subsumes 30.
% 1.80/1.97
% 1.80/1.97 ======= end of input processing =======
% 1.80/1.97
% 1.80/1.97 =========== start of search ===========
% 1.80/1.97
% 1.80/1.97 -------- PROOF --------
% 1.80/1.97
% 1.80/1.97 ----> UNIT CONFLICT at 0.07 sec ----> 1619 [binary,1618.1,1.1] $F.
% 1.80/1.97
% 1.80/1.97 Length of proof is 7. Level of proof is 6.
% 1.80/1.97
% 1.80/1.97 ---------------- PROOF ----------------
% 1.80/1.97 % SZS status Unsatisfiable
% 1.80/1.97 % SZS output start Refutation
% See solution above
% 1.80/1.97 ------------ end of proof -------------
% 1.80/1.97
% 1.80/1.97
% 1.80/1.97 Search stopped by max_proofs option.
% 1.80/1.97
% 1.80/1.97
% 1.80/1.97 Search stopped by max_proofs option.
% 1.80/1.97
% 1.80/1.97 ============ end of search ============
% 1.80/1.97
% 1.80/1.97 -------------- statistics -------------
% 1.80/1.97 clauses given 249
% 1.80/1.97 clauses generated 5863
% 1.80/1.97 clauses kept 1618
% 1.80/1.97 clauses forward subsumed 4280
% 1.80/1.97 clauses back subsumed 20
% 1.80/1.97 Kbytes malloced 1953
% 1.80/1.97
% 1.80/1.97 ----------- times (seconds) -----------
% 1.80/1.97 user CPU time 0.08 (0 hr, 0 min, 0 sec)
% 1.80/1.97 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.80/1.97 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.80/1.97
% 1.80/1.97 That finishes the proof of the theorem.
% 1.80/1.97
% 1.80/1.97 Process 15447 finished Wed Jul 27 11:03:25 2022
% 1.80/1.97 Otter interrupted
% 1.80/1.97 PROOF FOUND
%------------------------------------------------------------------------------