TSTP Solution File: SYN350-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 13:24:19 EDT 2022
% Result : Unsatisfiable 1.53s 1.74s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 4 unt; 3 nHn; 9 RR)
% Number of literals : 21 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ f(a,z(A,B))
| f(z(A,B),a) ),
file('SYN350-1.p',unknown),
[] ).
cnf(4,axiom,
( f(a,z(A,B))
| f(B,z(A,B))
| ~ f(A,B) ),
file('SYN350-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ f(a,z(A,B))
| ~ f(B,z(A,B))
| ~ f(A,B) ),
file('SYN350-1.p',unknown),
[] ).
cnf(7,plain,
( f(a,z(A,a))
| ~ f(A,a) ),
inference(factor,[status(thm)],[4]),
[iquote('factor,4.1.2')] ).
cnf(8,plain,
( ~ f(a,z(A,a))
| ~ f(A,a) ),
inference(factor,[status(thm)],[5]),
[iquote('factor,5.1.2')] ).
cnf(9,axiom,
( f(a,z(A,B))
| f(B,z(A,B))
| f(A,z(A,B)) ),
file('SYN350-1.p',unknown),
[] ).
cnf(10,plain,
( f(a,z(A,a))
| f(A,z(A,a)) ),
inference(factor,[status(thm)],[9]),
[iquote('factor,9.1.2')] ).
cnf(13,plain,
f(a,z(a,a)),
inference(factor,[status(thm)],[10]),
[iquote('factor,10.1.2')] ).
cnf(20,plain,
f(z(a,a),a),
inference(hyper,[status(thm)],[13,1]),
[iquote('hyper,13,1')] ).
cnf(21,plain,
f(a,z(z(a,a),a)),
inference(hyper,[status(thm)],[20,7]),
[iquote('hyper,20,7')] ).
cnf(22,plain,
$false,
inference(hyper,[status(thm)],[21,8,20]),
[iquote('hyper,21,8,20')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN350-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 11:13:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.53/1.74 ----- Otter 3.3f, August 2004 -----
% 1.53/1.74 The process was started by sandbox2 on n004.cluster.edu,
% 1.53/1.74 Wed Jul 27 11:13:51 2022
% 1.53/1.74 The command was "./otter". The process ID is 816.
% 1.53/1.74
% 1.53/1.74 set(prolog_style_variables).
% 1.53/1.74 set(auto).
% 1.53/1.74 dependent: set(auto1).
% 1.53/1.74 dependent: set(process_input).
% 1.53/1.74 dependent: clear(print_kept).
% 1.53/1.74 dependent: clear(print_new_demod).
% 1.53/1.74 dependent: clear(print_back_demod).
% 1.53/1.74 dependent: clear(print_back_sub).
% 1.53/1.74 dependent: set(control_memory).
% 1.53/1.74 dependent: assign(max_mem, 12000).
% 1.53/1.74 dependent: assign(pick_given_ratio, 4).
% 1.53/1.74 dependent: assign(stats_level, 1).
% 1.53/1.74 dependent: assign(max_seconds, 10800).
% 1.53/1.74 clear(print_given).
% 1.53/1.74
% 1.53/1.74 list(usable).
% 1.53/1.74 0 [] -f(a,z(X,Y))|f(z(X,Y),a).
% 1.53/1.74 0 [] f(a,z(X,Y))| -f(z(X,Y),a).
% 1.53/1.74 0 [] f(a,z(X,Y))|f(Y,z(X,Y))|f(X,z(X,Y)).
% 1.53/1.74 0 [] -f(a,z(X,Y))| -f(Y,z(X,Y))|f(X,z(X,Y)).
% 1.53/1.74 0 [] f(a,z(X,Y))|f(Y,z(X,Y))| -f(X,Y).
% 1.53/1.74 0 [] -f(a,z(X,Y))| -f(Y,z(X,Y))| -f(X,Y).
% 1.53/1.74 end_of_list.
% 1.53/1.74
% 1.53/1.74 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.53/1.74
% 1.53/1.74 This is a non-Horn set without equality. The strategy will
% 1.53/1.74 be ordered hyper_res, unit deletion, and factoring, with
% 1.53/1.74 satellites in sos and with nuclei in usable.
% 1.53/1.74
% 1.53/1.74 dependent: set(hyper_res).
% 1.53/1.74 dependent: set(factor).
% 1.53/1.74 dependent: set(unit_deletion).
% 1.53/1.74
% 1.53/1.74 ------------> process usable:
% 1.53/1.74 ** KEPT (pick-wt=10): 1 [] -f(a,z(A,B))|f(z(A,B),a).
% 1.53/1.74 ** KEPT (pick-wt=10): 2 [] f(a,z(A,B))| -f(z(A,B),a).
% 1.53/1.74 ** KEPT (pick-wt=15): 3 [] -f(a,z(A,B))| -f(B,z(A,B))|f(A,z(A,B)).
% 1.53/1.74 ** KEPT (pick-wt=13): 4 [] f(a,z(A,B))|f(B,z(A,B))| -f(A,B).
% 1.53/1.74 ** KEPT (pick-wt=13): 5 [] -f(a,z(A,B))| -f(B,z(A,B))| -f(A,B).
% 1.53/1.74
% 1.53/1.74 ------------> process sos:
% 1.53/1.74 ** KEPT (pick-wt=15): 9 [] f(a,z(A,B))|f(B,z(A,B))|f(A,z(A,B)).
% 1.53/1.74
% 1.53/1.74 ======= end of input processing =======
% 1.53/1.74
% 1.53/1.74 =========== start of search ===========
% 1.53/1.74
% 1.53/1.74 -------- PROOF --------
% 1.53/1.74
% 1.53/1.74 -----> EMPTY CLAUSE at 0.00 sec ----> 22 [hyper,21,8,20] $F.
% 1.53/1.74
% 1.53/1.74 Length of proof is 6. Level of proof is 4.
% 1.53/1.74
% 1.53/1.74 ---------------- PROOF ----------------
% 1.53/1.74 % SZS status Unsatisfiable
% 1.53/1.74 % SZS output start Refutation
% See solution above
% 1.53/1.74 ------------ end of proof -------------
% 1.53/1.74
% 1.53/1.74
% 1.53/1.74 Search stopped by max_proofs option.
% 1.53/1.74
% 1.53/1.74
% 1.53/1.74 Search stopped by max_proofs option.
% 1.53/1.74
% 1.53/1.74 ============ end of search ============
% 1.53/1.74
% 1.53/1.74 -------------- statistics -------------
% 1.53/1.74 clauses given 4
% 1.53/1.74 clauses generated 80
% 1.53/1.74 clauses kept 21
% 1.53/1.74 clauses forward subsumed 64
% 1.53/1.74 clauses back subsumed 0
% 1.53/1.74 Kbytes malloced 976
% 1.53/1.74
% 1.53/1.74 ----------- times (seconds) -----------
% 1.53/1.74 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.53/1.74 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.53/1.74 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.53/1.74
% 1.53/1.74 That finishes the proof of the theorem.
% 1.53/1.74
% 1.53/1.74 Process 816 finished Wed Jul 27 11:13:52 2022
% 1.53/1.74 Otter interrupted
% 1.53/1.74 PROOF FOUND
%------------------------------------------------------------------------------