TSTP Solution File: SYN576-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN576-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 2.41s 2.64s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 16 unt; 1 nHn; 12 RR)
% Number of literals : 33 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( p12(A,B)
| ~ p2(C,A)
| ~ p5(D,B)
| ~ p12(C,D) ),
file('SYN576-1.p',unknown),
[] ).
cnf(9,axiom,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
file('SYN576-1.p',unknown),
[] ).
cnf(11,axiom,
( p2(f7(A,B),f7(C,D))
| ~ p2(A,C)
| ~ p2(B,D) ),
file('SYN576-1.p',unknown),
[] ).
cnf(12,axiom,
( p2(f9(A,B,C),f9(D,E,F))
| ~ p4(A,D)
| ~ p8(B,E)
| ~ p2(C,F) ),
file('SYN576-1.p',unknown),
[] ).
cnf(14,axiom,
( p12(f7(f9(A,c14,f3(B,C)),f3(B,C)),f6(A))
| ~ p12(C,f6(A))
| ~ p12(B,f6(A))
| ~ p11(f10(B),f10(C)) ),
file('SYN576-1.p',unknown),
[] ).
cnf(24,axiom,
p8(A,A),
file('SYN576-1.p',unknown),
[] ).
cnf(25,axiom,
p2(A,A),
file('SYN576-1.p',unknown),
[] ).
cnf(26,axiom,
p4(A,A),
file('SYN576-1.p',unknown),
[] ).
cnf(27,axiom,
p5(A,A),
file('SYN576-1.p',unknown),
[] ).
cnf(28,axiom,
p12(c15,f6(c13)),
file('SYN576-1.p',unknown),
[] ).
cnf(29,axiom,
p12(c16,f6(c13)),
file('SYN576-1.p',unknown),
[] ).
cnf(30,axiom,
( p11(A,B)
| p11(B,A) ),
file('SYN576-1.p',unknown),
[] ).
cnf(31,axiom,
p2(f3(A,B),f3(B,A)),
file('SYN576-1.p',unknown),
[] ).
cnf(37,plain,
p11(f10(c16),f10(c15)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[30,14,29,28]),9]),
[iquote('hyper,30,14,29,28,unit_del,9')] ).
cnf(40,plain,
p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)),
inference(hyper,[status(thm)],[37,14,28,29]),
[iquote('hyper,37,14,28,29')] ).
cnf(44,plain,
p2(f9(A,B,f3(C,D)),f9(A,B,f3(D,C))),
inference(hyper,[status(thm)],[31,12,26,24]),
[iquote('hyper,31,12,26,24')] ).
cnf(46,plain,
p2(f7(A,f3(B,C)),f7(A,f3(C,B))),
inference(hyper,[status(thm)],[31,11,25]),
[iquote('hyper,31,11,25')] ).
cnf(386,plain,
p12(f7(f9(c13,c14,f3(c16,c15)),f3(c15,c16)),f6(c13)),
inference(hyper,[status(thm)],[40,8,46,27]),
[iquote('hyper,40,8,46,27')] ).
cnf(406,plain,
p2(f7(f9(A,B,f3(C,D)),E),f7(f9(A,B,f3(D,C)),E)),
inference(hyper,[status(thm)],[44,11,25]),
[iquote('hyper,44,11,25')] ).
cnf(2117,plain,
p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
inference(hyper,[status(thm)],[406,8,27,386]),
[iquote('hyper,406,8,27,386')] ).
cnf(2118,plain,
$false,
inference(binary,[status(thm)],[2117,9]),
[iquote('binary,2117.1,9.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN576-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.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 11:02:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.41/2.64 ----- Otter 3.3f, August 2004 -----
% 2.41/2.64 The process was started by sandbox on n018.cluster.edu,
% 2.41/2.64 Wed Jul 27 11:02:01 2022
% 2.41/2.64 The command was "./otter". The process ID is 5695.
% 2.41/2.64
% 2.41/2.64 set(prolog_style_variables).
% 2.41/2.64 set(auto).
% 2.41/2.64 dependent: set(auto1).
% 2.41/2.64 dependent: set(process_input).
% 2.41/2.64 dependent: clear(print_kept).
% 2.41/2.64 dependent: clear(print_new_demod).
% 2.41/2.64 dependent: clear(print_back_demod).
% 2.41/2.64 dependent: clear(print_back_sub).
% 2.41/2.64 dependent: set(control_memory).
% 2.41/2.64 dependent: assign(max_mem, 12000).
% 2.41/2.64 dependent: assign(pick_given_ratio, 4).
% 2.41/2.64 dependent: assign(stats_level, 1).
% 2.41/2.64 dependent: assign(max_seconds, 10800).
% 2.41/2.64 clear(print_given).
% 2.41/2.64
% 2.41/2.64 list(usable).
% 2.41/2.64 0 [] p8(X42,X42).
% 2.41/2.64 0 [] p2(X13,X13).
% 2.41/2.64 0 [] p4(X34,X34).
% 2.41/2.64 0 [] p5(X37,X37).
% 2.41/2.64 0 [] p12(c15,f6(c13)).
% 2.41/2.64 0 [] p12(c16,f6(c13)).
% 2.41/2.64 0 [] p11(X4,X5)|p11(X5,X4).
% 2.41/2.64 0 [] p2(f3(X22,X23),f3(X23,X22)).
% 2.41/2.64 0 [] p5(f6(X40),f6(X41))| -p4(X40,X41).
% 2.41/2.64 0 [] p2(f10(X16),f10(X17))| -p2(X16,X17).
% 2.41/2.64 0 [] p8(X43,X44)| -p8(X42,X43)| -p8(X42,X44).
% 2.41/2.64 0 [] p2(X14,X15)| -p2(X13,X14)| -p2(X13,X15).
% 2.41/2.64 0 [] p4(X35,X36)| -p4(X34,X35)| -p4(X34,X36).
% 2.41/2.64 0 [] p5(X38,X39)| -p5(X37,X38)| -p5(X37,X39).
% 2.41/2.64 0 [] p11(X0,X1)| -p2(X2,X0)| -p2(X3,X1)| -p11(X2,X3).
% 2.41/2.64 0 [] p12(X6,X7)| -p2(X8,X6)| -p5(X9,X7)| -p12(X8,X9).
% 2.41/2.64 0 [] -p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)).
% 2.41/2.64 0 [] p2(f3(X18,X19),f3(X20,X21))| -p2(X18,X20)| -p2(X19,X21).
% 2.41/2.64 0 [] p2(f7(X24,X25),f7(X26,X27))| -p2(X24,X26)| -p2(X25,X27).
% 2.41/2.64 0 [] p2(f9(X28,X29,X30),f9(X31,X32,X33))| -p4(X28,X31)| -p8(X29,X32)| -p2(X30,X33).
% 2.41/2.64 0 [] p12(f7(f9(X10,c14,f3(X11,X12)),X12),f6(X10))| -p12(X12,f6(X10))| -p12(X11,f6(X10))| -p11(f10(X11),f10(X12)).
% 2.41/2.64 0 [] p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10))| -p12(X12,f6(X10))| -p12(X11,f6(X10))| -p11(f10(X11),f10(X12)).
% 2.41/2.64 end_of_list.
% 2.41/2.64
% 2.41/2.64 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=4.
% 2.41/2.64
% 2.41/2.64 This is a non-Horn set without equality. The strategy will
% 2.41/2.64 be ordered hyper_res, unit deletion, and factoring, with
% 2.41/2.64 satellites in sos and with nuclei in usable.
% 2.41/2.64
% 2.41/2.64 dependent: set(hyper_res).
% 2.41/2.64 dependent: set(factor).
% 2.41/2.64 dependent: set(unit_deletion).
% 2.41/2.64
% 2.41/2.64 ------------> process usable:
% 2.41/2.64 ** KEPT (pick-wt=8): 1 [] p5(f6(A),f6(B))| -p4(A,B).
% 2.41/2.64 ** KEPT (pick-wt=8): 2 [] p2(f10(A),f10(B))| -p2(A,B).
% 2.41/2.64 ** KEPT (pick-wt=9): 3 [] p8(A,B)| -p8(C,A)| -p8(C,B).
% 2.41/2.64 ** KEPT (pick-wt=9): 4 [] p2(A,B)| -p2(C,A)| -p2(C,B).
% 2.41/2.64 ** KEPT (pick-wt=9): 5 [] p4(A,B)| -p4(C,A)| -p4(C,B).
% 2.41/2.64 ** KEPT (pick-wt=9): 6 [] p5(A,B)| -p5(C,A)| -p5(C,B).
% 2.41/2.64 ** KEPT (pick-wt=12): 7 [] p11(A,B)| -p2(C,A)| -p2(D,B)| -p11(C,D).
% 2.41/2.64 ** KEPT (pick-wt=12): 8 [] p12(A,B)| -p2(C,A)| -p5(D,B)| -p12(C,D).
% 2.41/2.64 ** KEPT (pick-wt=13): 9 [] -p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)).
% 2.41/2.64 ** KEPT (pick-wt=13): 10 [] p2(f3(A,B),f3(C,D))| -p2(A,C)| -p2(B,D).
% 2.41/2.64 ** KEPT (pick-wt=13): 11 [] p2(f7(A,B),f7(C,D))| -p2(A,C)| -p2(B,D).
% 2.41/2.64 ** KEPT (pick-wt=18): 12 [] p2(f9(A,B,C),f9(D,E,F))| -p4(A,D)| -p8(B,E)| -p2(C,F).
% 2.41/2.64 ** KEPT (pick-wt=24): 13 [] p12(f7(f9(A,c14,f3(B,C)),C),f6(A))| -p12(C,f6(A))| -p12(B,f6(A))| -p11(f10(B),f10(C)).
% 2.41/2.64 ** KEPT (pick-wt=26): 14 [] p12(f7(f9(A,c14,f3(B,C)),f3(B,C)),f6(A))| -p12(C,f6(A))| -p12(B,f6(A))| -p11(f10(B),f10(C)).
% 2.41/2.64
% 2.41/2.64 ------------> process sos:
% 2.41/2.64 ** KEPT (pick-wt=3): 24 [] p8(A,A).
% 2.41/2.64 ** KEPT (pick-wt=3): 25 [] p2(A,A).
% 2.41/2.64 ** KEPT (pick-wt=3): 26 [] p4(A,A).
% 2.41/2.64 ** KEPT (pick-wt=3): 27 [] p5(A,A).
% 2.41/2.64 ** KEPT (pick-wt=4): 28 [] p12(c15,f6(c13)).
% 2.41/2.64 ** KEPT (pick-wt=4): 29 [] p12(c16,f6(c13)).
% 2.41/2.64 ** KEPT (pick-wt=6): 30 [] p11(A,B)|p11(B,A).
% 2.41/2.64 ** KEPT (pick-wt=7): 31 [] p2(f3(A,B),f3(B,A)).
% 2.41/2.64 24 back subsumes 15.
% 2.41/2.64 25 back subsumes 16.
% 2.41/2.64 26 back subsumes 17.
% 2.41/2.64 27 back subsumes 18.
% 2.41/2.64 30 back subsumes 19.
% 2.41/2.64
% 2.41/2.64 ======= end of input processing =======
% 2.41/2.64
% 2.41/2.64 =========== start of search ===========
% 2.41/2.64
% 2.41/2.64
% 2.41/2.64 Resetting weight limit to 17.
% 2.41/2.64
% 2.41/2.64
% 2.41/2.64 Resetting weight limit to 17.
% 2.41/2.64
% 2.41/2.64 sos_size=1809
% 2.41/2.64
% 2.41/2.64 -------- PROOF --------
% 2.41/2.64
% 2.41/2.64 ----> UNIT CONFLICT at 0.78 sec ----> 2118 [binary,2117.1,9.1] $F.
% 2.41/2.64
% 2.41/2.64 Length of proof is 7. Level of proof is 4.
% 2.41/2.64
% 2.41/2.64 ---------------- PROOF ----------------
% 2.41/2.64 % SZS status Unsatisfiable
% 2.41/2.64 % SZS output start Refutation
% See solution above
% 2.41/2.64 ------------ end of proof -------------
% 2.41/2.64
% 2.41/2.64
% 2.41/2.64 Search stopped by max_proofs option.
% 2.41/2.64
% 2.41/2.64
% 2.41/2.64 Search stopped by max_proofs option.
% 2.41/2.64
% 2.41/2.64 ============ end of search ============
% 2.41/2.64
% 2.41/2.64 -------------- statistics -------------
% 2.41/2.64 clauses given 254
% 2.41/2.64 clauses generated 163240
% 2.41/2.64 clauses kept 2117
% 2.41/2.64 clauses forward subsumed 7278
% 2.41/2.64 clauses back subsumed 86
% 2.41/2.64 Kbytes malloced 6835
% 2.41/2.64
% 2.41/2.64 ----------- times (seconds) -----------
% 2.41/2.64 user CPU time 0.78 (0 hr, 0 min, 0 sec)
% 2.41/2.64 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.41/2.64 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.41/2.64
% 2.41/2.64 That finishes the proof of the theorem.
% 2.41/2.64
% 2.41/2.64 Process 5695 finished Wed Jul 27 11:02:03 2022
% 2.41/2.64 Otter interrupted
% 2.41/2.64 PROOF FOUND
%------------------------------------------------------------------------------