TSTP Solution File: SYN613-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:25:00 EDT 2022
% Result : Unsatisfiable 1.97s 2.15s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 12 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 7 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( p11(A,B)
| ~ p11(C,A)
| ~ p11(C,B) ),
file('SYN613-1.p',unknown),
[] ).
cnf(13,axiom,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('SYN613-1.p',unknown),
[] ).
cnf(20,axiom,
( p17(A,B,C)
| ~ p3(D,B)
| ~ p16(E,A)
| ~ p11(F,C)
| ~ p17(E,D,F) ),
file('SYN613-1.p',unknown),
[] ).
cnf(32,axiom,
p11(A,A),
file('SYN613-1.p',unknown),
[] ).
cnf(35,axiom,
p3(A,A),
file('SYN613-1.p',unknown),
[] ).
cnf(37,axiom,
p16(A,A),
file('SYN613-1.p',unknown),
[] ).
cnf(38,axiom,
p11(c23,f12(f9(c21))),
file('SYN613-1.p',unknown),
[] ).
cnf(39,axiom,
p11(c24,f12(f9(c21))),
file('SYN613-1.p',unknown),
[] ).
cnf(40,axiom,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('SYN613-1.p',unknown),
[] ).
cnf(48,plain,
p11(f12(f9(c21)),c23),
inference(hyper,[status(thm)],[38,7,32]),
[iquote('hyper,38,7,32')] ).
cnf(58,plain,
p11(f12(f9(c21)),c24),
inference(hyper,[status(thm)],[39,7,32]),
[iquote('hyper,39,7,32')] ).
cnf(80,plain,
p11(c24,c23),
inference(hyper,[status(thm)],[58,7,48]),
[iquote('hyper,58,7,48')] ).
cnf(98,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(hyper,[status(thm)],[80,20,35,37,40]),
[iquote('hyper,80,20,35,37,40')] ).
cnf(99,plain,
$false,
inference(binary,[status(thm)],[98,13]),
[iquote('binary,98.1,13.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n026.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 11:36:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.97/2.14 ----- Otter 3.3f, August 2004 -----
% 1.97/2.14 The process was started by sandbox2 on n026.cluster.edu,
% 1.97/2.14 Wed Jul 27 11:36:39 2022
% 1.97/2.14 The command was "./otter". The process ID is 27267.
% 1.97/2.14
% 1.97/2.14 set(prolog_style_variables).
% 1.97/2.14 set(auto).
% 1.97/2.14 dependent: set(auto1).
% 1.97/2.14 dependent: set(process_input).
% 1.97/2.14 dependent: clear(print_kept).
% 1.97/2.14 dependent: clear(print_new_demod).
% 1.97/2.14 dependent: clear(print_back_demod).
% 1.97/2.14 dependent: clear(print_back_sub).
% 1.97/2.14 dependent: set(control_memory).
% 1.97/2.14 dependent: assign(max_mem, 12000).
% 1.97/2.14 dependent: assign(pick_given_ratio, 4).
% 1.97/2.14 dependent: assign(stats_level, 1).
% 1.97/2.14 dependent: assign(max_seconds, 10800).
% 1.97/2.14 clear(print_given).
% 1.97/2.14
% 1.97/2.14 list(usable).
% 1.97/2.14 0 [] p11(X0,X0).
% 1.97/2.14 0 [] p6(X48,X48).
% 1.97/2.14 0 [] p5(X41,X41).
% 1.97/2.14 0 [] p3(X36,X36).
% 1.97/2.14 0 [] p2(X29,X29).
% 1.97/2.14 0 [] p16(X14,X14).
% 1.97/2.14 0 [] p11(c23,f12(f9(c21))).
% 1.97/2.14 0 [] p11(c24,f12(f9(c21))).
% 1.97/2.14 0 [] p5(f9(X46),f9(X47))| -p5(X46,X47).
% 1.97/2.14 0 [] p11(f12(X3),f12(X4))| -p5(X3,X4).
% 1.97/2.14 0 [] p11(f13(X5),f13(X6))| -p11(X5,X6).
% 1.97/2.14 0 [] p11(f15(X11),f15(X12))| -p11(X11,X12).
% 1.97/2.14 0 [] p3(f4(X39),f4(X40))| -p2(X39,X40).
% 1.97/2.14 0 [] p5(f10(X44),f10(X45))| -p2(X44,X45).
% 1.97/2.14 0 [] p11(X1,X2)| -p11(X0,X1)| -p11(X0,X2).
% 1.97/2.14 0 [] p6(X49,X50)| -p6(X48,X49)| -p6(X48,X50).
% 1.97/2.14 0 [] p5(X42,X43)| -p5(X41,X42)| -p5(X41,X43).
% 1.97/2.14 0 [] p3(X37,X38)| -p3(X36,X37)| -p3(X36,X38).
% 1.97/2.14 0 [] p2(X30,X31)| -p2(X29,X30)| -p2(X29,X31).
% 1.97/2.14 0 [] p16(X15,X16)| -p16(X14,X15)| -p16(X14,X16).
% 1.97/2.14 0 [] p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24).
% 1.97/2.14 0 [] -p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23).
% 1.97/2.14 0 [] p18(X23,X24)| -p11(X26,X24)| -p18(X25,X26)| -p11(X25,X23).
% 1.97/2.14 0 [] p11(f14(X7,X8),f14(X9,X10))| -p11(X7,X9)| -p11(X8,X10).
% 1.97/2.14 0 [] p6(f8(X51,X52),f8(X53,X54))| -p5(X51,X53)| -p5(X52,X54).
% 1.97/2.14 0 [] p2(f7(X32,X33),f7(X34,X35))| -p5(X32,X34)| -p6(X33,X35).
% 1.97/2.14 0 [] p18(f13(f14(X28,c25)),f13(f14(c23,c25)))| -p11(X28,f12(f9(c21))).
% 1.97/2.14 0 [] p18(f13(f14(X27,c25)),f13(f14(c24,c25)))| -p11(X27,f12(f9(c21))).
% 1.97/2.14 0 [] p17(X17,X18,X19)| -p3(X22,X18)| -p16(X21,X17)| -p11(X20,X19)| -p17(X21,X22,X20).
% 1.97/2.14 0 [] p17(c19,f4(c20),c23)|p11(f15(X13),f12(f9(c21)))| -p11(X13,f12(f9(c21)))| -p17(c19,f4(c20),X13).
% 1.97/2.14 0 [] p17(c19,f4(c20),c23)| -p11(X13,f12(f9(c21)))| -p17(c19,f4(c20),X13)| -p18(f13(f14(f15(X13),c25)),f13(f14(X13,c25))).
% 1.97/2.14 end_of_list.
% 1.97/2.14
% 1.97/2.14 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.97/2.14
% 1.97/2.14 This is a non-Horn set without equality. The strategy will
% 1.97/2.14 be ordered hyper_res, unit deletion, and factoring, with
% 1.97/2.14 satellites in sos and with nuclei in usable.
% 1.97/2.14
% 1.97/2.14 dependent: set(hyper_res).
% 1.97/2.14 dependent: set(factor).
% 1.97/2.14 dependent: set(unit_deletion).
% 1.97/2.14
% 1.97/2.14 ------------> process usable:
% 1.97/2.14 ** KEPT (pick-wt=8): 1 [] p5(f9(A),f9(B))| -p5(A,B).
% 1.97/2.14 ** KEPT (pick-wt=8): 2 [] p11(f12(A),f12(B))| -p5(A,B).
% 1.97/2.14 ** KEPT (pick-wt=8): 3 [] p11(f13(A),f13(B))| -p11(A,B).
% 1.97/2.14 ** KEPT (pick-wt=8): 4 [] p11(f15(A),f15(B))| -p11(A,B).
% 1.97/2.14 ** KEPT (pick-wt=8): 5 [] p3(f4(A),f4(B))| -p2(A,B).
% 1.97/2.14 ** KEPT (pick-wt=8): 6 [] p5(f10(A),f10(B))| -p2(A,B).
% 1.97/2.14 ** KEPT (pick-wt=9): 7 [] p11(A,B)| -p11(C,A)| -p11(C,B).
% 1.97/2.14 ** KEPT (pick-wt=9): 8 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 1.97/2.14 ** KEPT (pick-wt=9): 9 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.97/2.14 ** KEPT (pick-wt=9): 10 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.97/2.14 ** KEPT (pick-wt=9): 11 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.97/2.14 ** KEPT (pick-wt=9): 12 [] p16(A,B)| -p16(C,A)| -p16(C,B).
% 1.97/2.14 ** KEPT (pick-wt=11): 13 [] -p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23).
% 1.97/2.14 ** KEPT (pick-wt=12): 14 [] p18(A,B)| -p11(C,B)| -p18(D,C)| -p11(D,A).
% 1.97/2.14 ** KEPT (pick-wt=13): 15 [] p11(f14(A,B),f14(C,D))| -p11(A,C)| -p11(B,D).
% 1.97/2.14 ** KEPT (pick-wt=13): 16 [] p6(f8(A,B),f8(C,D))| -p5(A,C)| -p5(B,D).
% 1.97/2.14 ** KEPT (pick-wt=13): 17 [] p2(f7(A,B),f7(C,D))| -p5(A,C)| -p6(B,D).
% 1.97/2.14 ** KEPT (pick-wt=14): 18 [] p18(f13(f14(A,c25)),f13(f14(c23,c25)))| -p11(A,f12(f9(c21))).
% 1.97/2.14 ** KEPT (pick-wt=14): 19 [] p18(f13(f14(A,c25)),f13(f14(c24,c25)))| -p11(A,f12(f9(c21))).
% 1.97/2.14 ** KEPT (pick-wt=17): 20 [] p17(A,B,C)| -p3(D,B)| -p16(E,A)| -p11(F,C)| -p17(E,D,F).
% 1.97/2.14 ** KEPT (pick-wt=21): 21 [] p17(c19,f4(c20),c23)|p11(f15(A),f12(f9(c21)))| -p11(A,f12(f9(c21)))| -p17(c19,f4(c20),A).
% 1.97/2.14 ** KEPT (pick-wt=25): 22 [] p17(c19,f4(c20),c23)| -p11(A,f12(f9(c21)))| -p17(c19,f4(c20),A)| -p18(f13(f14(f15(A),c25)),f13(f14(A,c25))).
% 1.97/2.14
% 1.97/2.14 ------------> process sos:
% 1.97/2.14 ** KEPT (pick-wt=3): 32 [] p11(A,A).
% 1.97/2.15 ** KEPT (pick-wt=3): 33 [] p6(A,A).
% 1.97/2.15 ** KEPT (pick-wt=3): 34 [] p5(A,A).
% 1.97/2.15 ** KEPT (pick-wt=3): 35 [] p3(A,A).
% 1.97/2.15 ** KEPT (pick-wt=3): 36 [] p2(A,A).
% 1.97/2.15 ** KEPT (pick-wt=3): 37 [] p16(A,A).
% 1.97/2.15 ** KEPT (pick-wt=5): 38 [] p11(c23,f12(f9(c21))).
% 1.97/2.15 ** KEPT (pick-wt=5): 39 [] p11(c24,f12(f9(c21))).
% 1.97/2.15 ** KEPT (pick-wt=11): 40 [] p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24).
% 1.97/2.15 32 back subsumes 23.
% 1.97/2.15 33 back subsumes 24.
% 1.97/2.15 34 back subsumes 25.
% 1.97/2.15 35 back subsumes 26.
% 1.97/2.15 36 back subsumes 27.
% 1.97/2.15 37 back subsumes 28.
% 1.97/2.15
% 1.97/2.15 ======= end of input processing =======
% 1.97/2.15
% 1.97/2.15 =========== start of search ===========
% 1.97/2.15
% 1.97/2.15 -------- PROOF --------
% 1.97/2.15
% 1.97/2.15 ----> UNIT CONFLICT at 0.00 sec ----> 99 [binary,98.1,13.1] $F.
% 1.97/2.15
% 1.97/2.15 Length of proof is 4. Level of proof is 3.
% 1.97/2.15
% 1.97/2.15 ---------------- PROOF ----------------
% 1.97/2.15 % SZS status Unsatisfiable
% 1.97/2.15 % SZS output start Refutation
% See solution above
% 1.97/2.15 ------------ end of proof -------------
% 1.97/2.15
% 1.97/2.15
% 1.97/2.15 Search stopped by max_proofs option.
% 1.97/2.15
% 1.97/2.15
% 1.97/2.15 Search stopped by max_proofs option.
% 1.97/2.15
% 1.97/2.15 ============ end of search ============
% 1.97/2.15
% 1.97/2.15 -------------- statistics -------------
% 1.97/2.15 clauses given 13
% 1.97/2.15 clauses generated 123
% 1.97/2.15 clauses kept 98
% 1.97/2.15 clauses forward subsumed 56
% 1.97/2.15 clauses back subsumed 6
% 1.97/2.15 Kbytes malloced 976
% 1.97/2.15
% 1.97/2.15 ----------- times (seconds) -----------
% 1.97/2.15 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.15 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.97/2.15 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.97/2.15
% 1.97/2.15 That finishes the proof of the theorem.
% 1.97/2.15
% 1.97/2.15 Process 27267 finished Wed Jul 27 11:36:41 2022
% 1.97/2.15 Otter interrupted
% 1.97/2.15 PROOF FOUND
%------------------------------------------------------------------------------