TSTP Solution File: SYN327-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:24:15 EDT 2022
% Result : Unsatisfiable 1.96s 2.11s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 3 unt; 1 nHn; 6 RR)
% Number of literals : 12 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ f(a,A)
| ~ f(a,z(A)) ),
file('SYN327-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ f(a,A)
| ~ f(A,a)
| ~ f(z(A),A) ),
file('SYN327-1.p',unknown),
[] ).
cnf(5,plain,
( ~ f(a,a)
| ~ f(z(a),a) ),
inference(factor,[status(thm)],[4]),
[iquote('factor,4.1.2')] ).
cnf(6,axiom,
( f(A,a)
| f(a,A) ),
file('SYN327-1.p',unknown),
[] ).
cnf(8,plain,
f(a,a),
inference(factor,[status(thm)],[6]),
[iquote('factor,6.1.2')] ).
cnf(10,plain,
f(a,z(a)),
inference(hyper,[status(thm)],[8,5,6]),
[iquote('hyper,8,5,6')] ).
cnf(12,plain,
$false,
inference(hyper,[status(thm)],[10,3,8]),
[iquote('hyper,10,3,8')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN327-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n020.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 11:24:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.96/2.11 ----- Otter 3.3f, August 2004 -----
% 1.96/2.11 The process was started by sandbox on n020.cluster.edu,
% 1.96/2.11 Wed Jul 27 11:24:53 2022
% 1.96/2.11 The command was "./otter". The process ID is 16899.
% 1.96/2.11
% 1.96/2.11 set(prolog_style_variables).
% 1.96/2.11 set(auto).
% 1.96/2.11 dependent: set(auto1).
% 1.96/2.11 dependent: set(process_input).
% 1.96/2.11 dependent: clear(print_kept).
% 1.96/2.11 dependent: clear(print_new_demod).
% 1.96/2.11 dependent: clear(print_back_demod).
% 1.96/2.11 dependent: clear(print_back_sub).
% 1.96/2.11 dependent: set(control_memory).
% 1.96/2.11 dependent: assign(max_mem, 12000).
% 1.96/2.11 dependent: assign(pick_given_ratio, 4).
% 1.96/2.11 dependent: assign(stats_level, 1).
% 1.96/2.11 dependent: assign(max_seconds, 10800).
% 1.96/2.11 clear(print_given).
% 1.96/2.11
% 1.96/2.11 list(usable).
% 1.96/2.11 0 [] f(Y,a)|f(a,Y).
% 1.96/2.11 0 [] f(Y,a)| -f(a,z(Y)).
% 1.96/2.11 0 [] f(a,z(Y))|f(a,Y).
% 1.96/2.11 0 [] f(a,z(Y))| -f(Y,a)| -f(z(Y),Y).
% 1.96/2.11 0 [] -f(a,Y)| -f(a,z(Y)).
% 1.96/2.11 0 [] -f(a,Y)| -f(Y,a)| -f(z(Y),Y).
% 1.96/2.11 end_of_list.
% 1.96/2.11
% 1.96/2.11 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.96/2.11
% 1.96/2.11 This is a non-Horn set without equality. The strategy will
% 1.96/2.11 be ordered hyper_res, unit deletion, and factoring, with
% 1.96/2.11 satellites in sos and with nuclei in usable.
% 1.96/2.11
% 1.96/2.11 dependent: set(hyper_res).
% 1.96/2.11 dependent: set(factor).
% 1.96/2.11 dependent: set(unit_deletion).
% 1.96/2.11
% 1.96/2.11 ------------> process usable:
% 1.96/2.11 ** KEPT (pick-wt=7): 1 [] f(A,a)| -f(a,z(A)).
% 1.96/2.11 ** KEPT (pick-wt=11): 2 [] f(a,z(A))| -f(A,a)| -f(z(A),A).
% 1.96/2.11 ** KEPT (pick-wt=7): 3 [] -f(a,A)| -f(a,z(A)).
% 1.96/2.11 ** KEPT (pick-wt=10): 4 [] -f(a,A)| -f(A,a)| -f(z(A),A).
% 1.96/2.11
% 1.96/2.11 ------------> process sos:
% 1.96/2.11 ** KEPT (pick-wt=6): 6 [] f(A,a)|f(a,A).
% 1.96/2.11 ** KEPT (pick-wt=7): 7 [] f(a,z(A))|f(a,A).
% 1.96/2.11
% 1.96/2.11 ======= end of input processing =======
% 1.96/2.11
% 1.96/2.11 =========== start of search ===========
% 1.96/2.11
% 1.96/2.11 -------- PROOF --------
% 1.96/2.11
% 1.96/2.11 -----> EMPTY CLAUSE at 0.00 sec ----> 12 [hyper,10,3,8] $F.
% 1.96/2.11
% 1.96/2.11 Length of proof is 3. Level of proof is 2.
% 1.96/2.11
% 1.96/2.11 ---------------- PROOF ----------------
% 1.96/2.11 % SZS status Unsatisfiable
% 1.96/2.11 % SZS output start Refutation
% See solution above
% 1.96/2.11 ------------ end of proof -------------
% 1.96/2.11
% 1.96/2.11
% 1.96/2.11 Search stopped by max_proofs option.
% 1.96/2.11
% 1.96/2.11
% 1.96/2.11 Search stopped by max_proofs option.
% 1.96/2.11
% 1.96/2.11 ============ end of search ============
% 1.96/2.11
% 1.96/2.11 -------------- statistics -------------
% 1.96/2.11 clauses given 3
% 1.96/2.11 clauses generated 37
% 1.96/2.11 clauses kept 11
% 1.96/2.11 clauses forward subsumed 31
% 1.96/2.11 clauses back subsumed 0
% 1.96/2.11 Kbytes malloced 976
% 1.96/2.11
% 1.96/2.11 ----------- times (seconds) -----------
% 1.96/2.11 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.11 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.96/2.11 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.96/2.11
% 1.96/2.11 That finishes the proof of the theorem.
% 1.96/2.11
% 1.96/2.11 Process 16899 finished Wed Jul 27 11:24:55 2022
% 1.96/2.11 Otter interrupted
% 1.96/2.11 PROOF FOUND
%------------------------------------------------------------------------------