TSTP Solution File: SYN572-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN572-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n015.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 13:24:56 EDT 2022
% Result : Unsatisfiable 2.22s 2.40s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 21 unt; 0 nHn; 8 RR)
% Number of literals : 39 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( p4(f10(A),f10(B))
| ~ p2(A,B) ),
file('SYN572-1.p',unknown),
[] ).
cnf(6,axiom,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('SYN572-1.p',unknown),
[] ).
cnf(8,axiom,
( p4(A,B)
| ~ p4(C,A)
| ~ p4(C,B) ),
file('SYN572-1.p',unknown),
[] ).
cnf(9,axiom,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('SYN572-1.p',unknown),
[] ).
cnf(10,axiom,
( p12(A,B)
| ~ p4(C,A)
| ~ p4(D,B)
| ~ p12(C,D) ),
file('SYN572-1.p',unknown),
[] ).
cnf(11,axiom,
( p4(f11(A,B),f11(C,D))
| ~ p4(A,C)
| ~ p4(B,D) ),
file('SYN572-1.p',unknown),
[] ).
cnf(12,axiom,
( p2(f3(A,B),f3(C,D))
| ~ p2(A,C)
| ~ p2(B,D) ),
file('SYN572-1.p',unknown),
[] ).
cnf(13,axiom,
p2(A,A),
file('SYN572-1.p',unknown),
[] ).
cnf(15,axiom,
p4(A,A),
file('SYN572-1.p',unknown),
[] ).
cnf(16,axiom,
p4(f10(f9(A)),f10(A)),
file('SYN572-1.p',unknown),
[] ).
cnf(17,axiom,
p2(f3(A,f5(f7(f8(c13)))),A),
file('SYN572-1.p',unknown),
[] ).
cnf(18,axiom,
p2(f3(A,f9(A)),f5(f7(f8(c13)))),
file('SYN572-1.p',unknown),
[] ).
cnf(19,axiom,
p12(f10(f3(A,B)),f11(f10(A),f10(B))),
file('SYN572-1.p',unknown),
[] ).
cnf(20,axiom,
p2(f3(A,f3(B,C)),f3(f3(A,B),C)),
file('SYN572-1.p',unknown),
[] ).
cnf(24,plain,
p4(f10(A),f10(f9(A))),
inference(hyper,[status(thm)],[16,8,15]),
[iquote('hyper,16,8,15')] ).
cnf(31,plain,
p4(f10(A),f10(f9(f9(A)))),
inference(hyper,[status(thm)],[24,8,16]),
[iquote('hyper,24,8,16')] ).
cnf(43,plain,
p4(f11(A,f10(B)),f11(A,f10(f9(f9(B))))),
inference(hyper,[status(thm)],[31,11,15]),
[iquote('hyper,31,11,15')] ).
cnf(48,plain,
p4(f10(f9(f9(f9(A)))),f10(A)),
inference(hyper,[status(thm)],[31,8,16]),
[iquote('hyper,31,8,16')] ).
cnf(87,plain,
p2(f5(f7(f8(c13))),f3(A,f9(A))),
inference(hyper,[status(thm)],[18,6,13]),
[iquote('hyper,18,6,13')] ).
cnf(131,plain,
p4(f11(A,f10(f9(f9(f9(B))))),f11(A,f10(B))),
inference(hyper,[status(thm)],[48,11,15]),
[iquote('hyper,48,11,15')] ).
cnf(227,plain,
p2(f3(A,f5(f7(f8(c13)))),f3(A,f3(B,f9(B)))),
inference(hyper,[status(thm)],[87,12,13]),
[iquote('hyper,87,12,13')] ).
cnf(1130,plain,
p12(f10(f3(A,B)),f11(f10(A),f10(f9(f9(B))))),
inference(hyper,[status(thm)],[43,10,15,19]),
[iquote('hyper,43,10,15,19')] ).
cnf(3531,plain,
p2(f3(A,f3(B,f9(B))),A),
inference(hyper,[status(thm)],[227,6,17]),
[iquote('hyper,227,6,17')] ).
cnf(3543,plain,
p2(f3(f3(A,B),f9(B)),A),
inference(hyper,[status(thm)],[3531,6,20]),
[iquote('hyper,3531,6,20')] ).
cnf(3566,plain,
p4(f10(f3(f3(A,B),f9(B))),f10(A)),
inference(hyper,[status(thm)],[3543,4]),
[iquote('hyper,3543,4')] ).
cnf(3634,plain,
p12(f10(A),f11(f10(f3(A,B)),f10(B))),
inference(hyper,[status(thm)],[3566,10,131,1130]),
[iquote('hyper,3566,10,131,1130')] ).
cnf(3635,plain,
$false,
inference(binary,[status(thm)],[3634,9]),
[iquote('binary,3634.1,9.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN572-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 11:32:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.22/2.40 ----- Otter 3.3f, August 2004 -----
% 2.22/2.40 The process was started by sandbox2 on n015.cluster.edu,
% 2.22/2.40 Wed Jul 27 11:32:12 2022
% 2.22/2.40 The command was "./otter". The process ID is 3637.
% 2.22/2.40
% 2.22/2.40 set(prolog_style_variables).
% 2.22/2.40 set(auto).
% 2.22/2.40 dependent: set(auto1).
% 2.22/2.40 dependent: set(process_input).
% 2.22/2.40 dependent: clear(print_kept).
% 2.22/2.40 dependent: clear(print_new_demod).
% 2.22/2.40 dependent: clear(print_back_demod).
% 2.22/2.40 dependent: clear(print_back_sub).
% 2.22/2.40 dependent: set(control_memory).
% 2.22/2.40 dependent: assign(max_mem, 12000).
% 2.22/2.40 dependent: assign(pick_given_ratio, 4).
% 2.22/2.40 dependent: assign(stats_level, 1).
% 2.22/2.40 dependent: assign(max_seconds, 10800).
% 2.22/2.40 clear(print_given).
% 2.22/2.40
% 2.22/2.40 list(usable).
% 2.22/2.40 0 [] p2(X6,X6).
% 2.22/2.40 0 [] p6(X34,X34).
% 2.22/2.40 0 [] p4(X22,X22).
% 2.22/2.40 0 [] p4(f10(f9(X27)),f10(X27)).
% 2.22/2.40 0 [] p2(f3(X13,f5(f7(f8(c13)))),X13).
% 2.22/2.40 0 [] p6(f8(X37),f8(X38))| -p6(X37,X38).
% 2.22/2.40 0 [] p2(f5(X18),f5(X19))| -p4(X18,X19).
% 2.22/2.40 0 [] p2(f9(X20),f9(X21))| -p2(X20,X21).
% 2.22/2.40 0 [] p4(f10(X25),f10(X26))| -p2(X25,X26).
% 2.22/2.40 0 [] p4(f7(X32),f7(X33))| -p6(X32,X33).
% 2.22/2.40 0 [] p2(f3(X14,f9(X14)),f5(f7(f8(c13)))).
% 2.22/2.40 0 [] p2(X7,X8)| -p2(X6,X7)| -p2(X6,X8).
% 2.22/2.40 0 [] p6(X35,X36)| -p6(X34,X35)| -p6(X34,X36).
% 2.22/2.40 0 [] p4(X23,X24)| -p4(X22,X23)| -p4(X22,X24).
% 2.22/2.40 0 [] p12(f10(f3(X4,X5)),f11(f10(X4),f10(X5))).
% 2.22/2.40 0 [] -p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))).
% 2.22/2.40 0 [] p2(f3(X15,f3(X16,X17)),f3(f3(X15,X16),X17)).
% 2.22/2.40 0 [] p12(X0,X1)| -p4(X2,X0)| -p4(X3,X1)| -p12(X2,X3).
% 2.22/2.40 0 [] p4(f11(X28,X29),f11(X30,X31))| -p4(X28,X30)| -p4(X29,X31).
% 2.22/2.40 0 [] p2(f3(X9,X10),f3(X11,X12))| -p2(X9,X11)| -p2(X10,X12).
% 2.22/2.40 end_of_list.
% 2.22/2.40
% 2.22/2.40 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=4.
% 2.22/2.40
% 2.22/2.40 This is a Horn set without equality. The strategy will
% 2.22/2.40 be hyperresolution, with satellites in sos and nuclei
% 2.22/2.40 in usable.
% 2.22/2.40
% 2.22/2.40 dependent: set(hyper_res).
% 2.22/2.40 dependent: clear(order_hyper).
% 2.22/2.40
% 2.22/2.40 ------------> process usable:
% 2.22/2.40 ** KEPT (pick-wt=8): 1 [] p6(f8(A),f8(B))| -p6(A,B).
% 2.22/2.40 ** KEPT (pick-wt=8): 2 [] p2(f5(A),f5(B))| -p4(A,B).
% 2.22/2.40 ** KEPT (pick-wt=8): 3 [] p2(f9(A),f9(B))| -p2(A,B).
% 2.22/2.40 ** KEPT (pick-wt=8): 4 [] p4(f10(A),f10(B))| -p2(A,B).
% 2.22/2.40 ** KEPT (pick-wt=8): 5 [] p4(f7(A),f7(B))| -p6(A,B).
% 2.22/2.40 ** KEPT (pick-wt=9): 6 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.22/2.40 ** KEPT (pick-wt=9): 7 [] p6(A,B)| -p6(C,A)| -p6(C,B).
% 2.22/2.40 ** KEPT (pick-wt=9): 8 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.22/2.40 ** KEPT (pick-wt=10): 9 [] -p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))).
% 2.22/2.40 ** KEPT (pick-wt=12): 10 [] p12(A,B)| -p4(C,A)| -p4(D,B)| -p12(C,D).
% 2.22/2.40 ** KEPT (pick-wt=13): 11 [] p4(f11(A,B),f11(C,D))| -p4(A,C)| -p4(B,D).
% 2.22/2.40 ** KEPT (pick-wt=13): 12 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 2.22/2.40
% 2.22/2.40 ------------> process sos:
% 2.22/2.40 ** KEPT (pick-wt=3): 13 [] p2(A,A).
% 2.22/2.40 ** KEPT (pick-wt=3): 14 [] p6(A,A).
% 2.22/2.40 ** KEPT (pick-wt=3): 15 [] p4(A,A).
% 2.22/2.40 ** KEPT (pick-wt=6): 16 [] p4(f10(f9(A)),f10(A)).
% 2.22/2.40 ** KEPT (pick-wt=8): 17 [] p2(f3(A,f5(f7(f8(c13)))),A).
% 2.22/2.40 ** KEPT (pick-wt=9): 18 [] p2(f3(A,f9(A)),f5(f7(f8(c13)))).
% 2.22/2.40 ** KEPT (pick-wt=10): 19 [] p12(f10(f3(A,B)),f11(f10(A),f10(B))).
% 2.22/2.40 ** KEPT (pick-wt=11): 20 [] p2(f3(A,f3(B,C)),f3(f3(A,B),C)).
% 2.22/2.40
% 2.22/2.40 ======= end of input processing =======
% 2.22/2.40
% 2.22/2.40 =========== start of search ===========
% 2.22/2.40
% 2.22/2.40
% 2.22/2.40 Resetting weight limit to 13.
% 2.22/2.40
% 2.22/2.40
% 2.22/2.40 Resetting weight limit to 13.
% 2.22/2.40
% 2.22/2.40 sos_size=3374
% 2.22/2.40
% 2.22/2.40 -------- PROOF --------
% 2.22/2.40
% 2.22/2.40 ----> UNIT CONFLICT at 0.26 sec ----> 3635 [binary,3634.1,9.1] $F.
% 2.22/2.40
% 2.22/2.40 Length of proof is 12. Level of proof is 6.
% 2.22/2.40
% 2.22/2.40 ---------------- PROOF ----------------
% 2.22/2.40 % SZS status Unsatisfiable
% 2.22/2.40 % SZS output start Refutation
% See solution above
% 2.22/2.40 ------------ end of proof -------------
% 2.22/2.40
% 2.22/2.40
% 2.22/2.40 Search stopped by max_proofs option.
% 2.22/2.40
% 2.22/2.40
% 2.22/2.40 Search stopped by max_proofs option.
% 2.22/2.40
% 2.22/2.40 ============ end of search ============
% 2.22/2.40
% 2.22/2.40 -------------- statistics -------------
% 2.22/2.40 clauses given 228
% 2.22/2.40 clauses generated 50655
% 2.22/2.40 clauses kept 3634
% 2.22/2.40 clauses forward subsumed 4418
% 2.22/2.40 clauses back subsumed 32
% 2.22/2.40 Kbytes malloced 4882
% 2.22/2.40
% 2.22/2.40 ----------- times (seconds) -----------
% 2.22/2.40 user CPU time 0.26 (0 hr, 0 min, 0 sec)
% 2.22/2.40 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.22/2.40 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.22/2.40
% 2.22/2.40 That finishes the proof of the theorem.
% 2.22/2.40
% 2.22/2.40 Process 3637 finished Wed Jul 27 11:32:14 2022
% 2.22/2.40 Otter interrupted
% 2.22/2.40 PROOF FOUND
%------------------------------------------------------------------------------