TSTP Solution File: SYN587-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 13:24:57 EDT 2022
% Result : Unsatisfiable 1.73s 1.92s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 9 RR)
% Number of literals : 19 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('SYN587-1.p',unknown),
[] ).
cnf(12,axiom,
( p15(A,B)
| ~ p2(C,A)
| ~ p2(D,B)
| ~ p15(C,D) ),
file('SYN587-1.p',unknown),
[] ).
cnf(13,axiom,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('SYN587-1.p',unknown),
[] ).
cnf(14,axiom,
( p2(f4(A,B),f4(C,D))
| ~ p2(A,C)
| ~ p3(B,D) ),
file('SYN587-1.p',unknown),
[] ).
cnf(28,axiom,
p3(A,A),
file('SYN587-1.p',unknown),
[] ).
cnf(29,axiom,
p2(A,A),
file('SYN587-1.p',unknown),
[] ).
cnf(30,axiom,
p3(c21,c19),
file('SYN587-1.p',unknown),
[] ).
cnf(31,axiom,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('SYN587-1.p',unknown),
[] ).
cnf(34,plain,
p3(c19,c21),
inference(hyper,[status(thm)],[30,10,28]),
[iquote('hyper,30,10,28')] ).
cnf(39,plain,
p2(f4(A,c19),f4(A,c21)),
inference(hyper,[status(thm)],[34,14,29]),
[iquote('hyper,34,14,29')] ).
cnf(115,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(hyper,[status(thm)],[39,12,29,31]),
[iquote('hyper,39,12,29,31')] ).
cnf(116,plain,
$false,
inference(binary,[status(thm)],[115,13]),
[iquote('binary,115.1,13.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n021.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 11:02:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.73/1.92 ----- Otter 3.3f, August 2004 -----
% 1.73/1.92 The process was started by sandbox on n021.cluster.edu,
% 1.73/1.92 Wed Jul 27 11:02:38 2022
% 1.73/1.92 The command was "./otter". The process ID is 3599.
% 1.73/1.92
% 1.73/1.92 set(prolog_style_variables).
% 1.73/1.92 set(auto).
% 1.73/1.92 dependent: set(auto1).
% 1.73/1.92 dependent: set(process_input).
% 1.73/1.92 dependent: clear(print_kept).
% 1.73/1.92 dependent: clear(print_new_demod).
% 1.73/1.92 dependent: clear(print_back_demod).
% 1.73/1.92 dependent: clear(print_back_sub).
% 1.73/1.92 dependent: set(control_memory).
% 1.73/1.92 dependent: assign(max_mem, 12000).
% 1.73/1.92 dependent: assign(pick_given_ratio, 4).
% 1.73/1.92 dependent: assign(stats_level, 1).
% 1.73/1.92 dependent: assign(max_seconds, 10800).
% 1.73/1.92 clear(print_given).
% 1.73/1.92
% 1.73/1.92 list(usable).
% 1.73/1.92 0 [] p12(X0,X0).
% 1.73/1.92 0 [] p5(X37,X37).
% 1.73/1.92 0 [] p3(X24,X24).
% 1.73/1.92 0 [] p2(X13,X13).
% 1.73/1.92 0 [] p3(c21,c19).
% 1.73/1.92 0 [] -p12(f13(c20),f13(c18)).
% 1.73/1.92 0 [] p12(f13(X3),f13(X4))| -p2(X3,X4).
% 1.73/1.92 0 [] p5(f7(X42),f7(X43))| -p3(X42,X43).
% 1.73/1.92 0 [] p5(f10(X40),f10(X41))| -p5(X40,X41).
% 1.73/1.92 0 [] p3(f9(X35),f9(X36))| -p3(X35,X36).
% 1.73/1.92 0 [] p3(f8(X33),f8(X34))| -p3(X33,X34).
% 1.73/1.92 0 [] p3(f11(X27),f11(X28))| -p3(X27,X28).
% 1.73/1.92 0 [] p12(X1,X2)| -p12(X0,X1)| -p12(X0,X2).
% 1.73/1.92 0 [] p5(X38,X39)| -p5(X37,X38)| -p5(X37,X39).
% 1.73/1.92 0 [] p3(X25,X26)| -p3(X24,X25)| -p3(X24,X26).
% 1.73/1.92 0 [] p2(X14,X15)| -p2(X13,X14)| -p2(X13,X15).
% 1.73/1.92 0 [] p15(X9,X10)| -p2(X11,X9)| -p2(X12,X10)| -p15(X11,X12).
% 1.73/1.92 0 [] p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20).
% 1.73/1.92 0 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20).
% 1.73/1.92 0 [] p2(f4(X16,X17),f4(X18,X19))| -p2(X16,X18)| -p3(X17,X19).
% 1.73/1.92 0 [] p3(f14(X29,X30),f14(X31,X32))| -p2(X29,X31)| -p5(X30,X32).
% 1.73/1.92 0 [] p2(f6(X20,X21),f6(X22,X23))| -p2(X21,X23)| -p5(X20,X22).
% 1.73/1.92 0 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20).
% 1.73/1.92 0 [] p12(f13(X5),f13(c18))|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f14(X5,X6)),X5).
% 1.73/1.92 0 [] p12(f13(X5),f13(c18))| -p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(f14(X5,X6))),X5).
% 1.73/1.92 0 [] p3(X7,X8)|p12(f13(X5),f13(c18))|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)| -p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)| -p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5).
% 1.73/1.92 end_of_list.
% 1.73/1.92
% 1.73/1.92 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 1.73/1.92
% 1.73/1.92 This is a non-Horn set without equality. The strategy will
% 1.73/1.92 be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.92 satellites in sos and with nuclei in usable.
% 1.73/1.92
% 1.73/1.92 dependent: set(hyper_res).
% 1.73/1.92 dependent: set(factor).
% 1.73/1.92 dependent: set(unit_deletion).
% 1.73/1.92
% 1.73/1.92 ------------> process usable:
% 1.73/1.92 ** KEPT (pick-wt=5): 1 [] -p12(f13(c20),f13(c18)).
% 1.73/1.92 ** KEPT (pick-wt=8): 2 [] p12(f13(A),f13(B))| -p2(A,B).
% 1.73/1.92 ** KEPT (pick-wt=8): 3 [] p5(f7(A),f7(B))| -p3(A,B).
% 1.73/1.92 ** KEPT (pick-wt=8): 4 [] p5(f10(A),f10(B))| -p5(A,B).
% 1.73/1.92 ** KEPT (pick-wt=8): 5 [] p3(f9(A),f9(B))| -p3(A,B).
% 1.73/1.92 ** KEPT (pick-wt=8): 6 [] p3(f8(A),f8(B))| -p3(A,B).
% 1.73/1.92 ** KEPT (pick-wt=8): 7 [] p3(f11(A),f11(B))| -p3(A,B).
% 1.73/1.92 ** KEPT (pick-wt=9): 8 [] p12(A,B)| -p12(C,A)| -p12(C,B).
% 1.73/1.92 ** KEPT (pick-wt=9): 9 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 1.73/1.92 ** KEPT (pick-wt=9): 10 [] p3(A,B)| -p3(C,A)| -p3(C,B).
% 1.73/1.92 ** KEPT (pick-wt=9): 11 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 1.73/1.92 ** KEPT (pick-wt=12): 12 [] p15(A,B)| -p2(C,A)| -p2(D,B)| -p15(C,D).
% 1.73/1.92 ** KEPT (pick-wt=13): 13 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20).
% 1.73/1.92 ** KEPT (pick-wt=13): 14 [] p2(f4(A,B),f4(C,D))| -p2(A,C)| -p3(B,D).
% 1.73/1.92 ** KEPT (pick-wt=13): 15 [] p3(f14(A,B),f14(C,D))| -p2(A,C)| -p5(B,D).
% 1.73/1.92 ** KEPT (pick-wt=13): 16 [] p2(f6(A,B),f6(C,D))| -p2(B,D)| -p5(A,C).
% 1.73/1.92 ** KEPT (pick-wt=14): 17 [] -p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20).
% 1.73/1.92 ** KEPT (pick-wt=21): 18 [] p12(f13(A),f13(c18))| -p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),f11(f14(A,B))),A).
% 1.73/1.92 ** KEPT (pick-wt=62): 19 [] p3(A,B)|p12(f13(C),f13(c18))|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)| -p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)| -p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C).
% 1.73/1.92
% 1.73/1.92 ------------> process sos:
% 1.73/1.92 ** KEPT (pick-wt=3): 26 [] p12(A,A).
% 1.73/1.92 ** KEPT (pick-wt=3): 27 [] p5(A,A).
% 1.73/1.92 ** KEPT (pick-wt=3): 28 [] p3(A,A).
% 1.73/1.92 ** KEPT (pick-wt=3): 29 [] p2(A,A).
% 1.73/1.92 ** KEPT (pick-wt=3): 30 [] p3(c21,c19).
% 1.73/1.92 ** KEPT (pick-wt=13): 31 [] p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20).
% 1.73/1.92 ** KEPT (pick-wt=20): 32 [] p12(f13(A),f13(c18))|p15(f4(f6(f10(B),f6(f7(f8(f9(c17))),c18)),f14(A,B)),A).
% 1.73/1.92 26 back subsumes 20.
% 1.73/1.92 27 back subsumes 21.
% 1.73/1.92 28 back subsumes 25.
% 1.73/1.92 28 back subsumes 22.
% 1.73/1.92 29 back subsumes 23.
% 1.73/1.92
% 1.73/1.92 ======= end of input processing =======
% 1.73/1.92
% 1.73/1.92 =========== start of search ===========
% 1.73/1.92
% 1.73/1.92 -------- PROOF --------
% 1.73/1.92
% 1.73/1.92 ----> UNIT CONFLICT at 0.00 sec ----> 116 [binary,115.1,13.1] $F.
% 1.73/1.92
% 1.73/1.92 Length of proof is 3. Level of proof is 3.
% 1.73/1.92
% 1.73/1.92 ---------------- PROOF ----------------
% 1.73/1.92 % SZS status Unsatisfiable
% 1.73/1.92 % SZS output start Refutation
% See solution above
% 1.73/1.92 ------------ end of proof -------------
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92 ============ end of search ============
% 1.73/1.92
% 1.73/1.92 -------------- statistics -------------
% 1.73/1.92 clauses given 18
% 1.73/1.92 clauses generated 156
% 1.73/1.92 clauses kept 115
% 1.73/1.92 clauses forward subsumed 67
% 1.73/1.92 clauses back subsumed 5
% 1.73/1.92 Kbytes malloced 976
% 1.73/1.92
% 1.73/1.92 ----------- times (seconds) -----------
% 1.73/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.92
% 1.73/1.92 That finishes the proof of the theorem.
% 1.73/1.92
% 1.73/1.92 Process 3599 finished Wed Jul 27 11:02:39 2022
% 1.73/1.92 Otter interrupted
% 1.73/1.92 PROOF FOUND
%------------------------------------------------------------------------------