TSTP Solution File: SYN319-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 13:24:13 EDT 2022
% Result : Unsatisfiable 1.63s 1.84s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 4 unt; 2 nHn; 4 RR)
% Number of literals : 12 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 10 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ f(A)
| h(A) ),
file('SYN319-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ g(A)
| h(A) ),
file('SYN319-1.p',unknown),
[] ).
cnf(6,axiom,
~ h(z2(A,B)),
file('SYN319-1.p',unknown),
[] ).
cnf(7,axiom,
( f(A)
| g(B) ),
file('SYN319-1.p',unknown),
[] ).
cnf(8,plain,
( f(A)
| h(B) ),
inference(hyper,[status(thm)],[7,5]),
[iquote('hyper,7,5')] ).
cnf(9,plain,
f(A),
inference(hyper,[status(thm)],[8,6]),
[iquote('hyper,8,6')] ).
cnf(10,plain,
h(A),
inference(hyper,[status(thm)],[9,4]),
[iquote('hyper,9,4')] ).
cnf(11,plain,
$false,
inference(binary,[status(thm)],[10,6]),
[iquote('binary,10.1,6.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN319-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.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 11:01:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.63/1.84 ----- Otter 3.3f, August 2004 -----
% 1.63/1.84 The process was started by sandbox on n012.cluster.edu,
% 1.63/1.84 Wed Jul 27 11:01:20 2022
% 1.63/1.84 The command was "./otter". The process ID is 29495.
% 1.63/1.84
% 1.63/1.84 set(prolog_style_variables).
% 1.63/1.84 set(auto).
% 1.63/1.84 dependent: set(auto1).
% 1.63/1.84 dependent: set(process_input).
% 1.63/1.84 dependent: clear(print_kept).
% 1.63/1.84 dependent: clear(print_new_demod).
% 1.63/1.84 dependent: clear(print_back_demod).
% 1.63/1.84 dependent: clear(print_back_sub).
% 1.63/1.84 dependent: set(control_memory).
% 1.63/1.84 dependent: assign(max_mem, 12000).
% 1.63/1.84 dependent: assign(pick_given_ratio, 4).
% 1.63/1.84 dependent: assign(stats_level, 1).
% 1.63/1.84 dependent: assign(max_seconds, 10800).
% 1.63/1.84 clear(print_given).
% 1.63/1.84
% 1.63/1.84 list(usable).
% 1.63/1.84 0 [] f(Y)|g(X).
% 1.63/1.84 0 [] f(Y)| -f(z1(X,Y)).
% 1.63/1.84 0 [] -g(z1(X,y))|g(X).
% 1.63/1.84 0 [] -g(z1(X,y))| -f(z1(X,Y)).
% 1.63/1.84 0 [] -f(X)|h(X).
% 1.63/1.84 0 [] -g(X)|h(X).
% 1.63/1.84 0 [] -h(z2(X,Y)).
% 1.63/1.84 end_of_list.
% 1.63/1.84
% 1.63/1.84 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.63/1.84
% 1.63/1.84 This is a non-Horn set without equality. The strategy will
% 1.63/1.84 be ordered hyper_res, unit deletion, and factoring, with
% 1.63/1.84 satellites in sos and with nuclei in usable.
% 1.63/1.84
% 1.63/1.84 dependent: set(hyper_res).
% 1.63/1.84 dependent: set(factor).
% 1.63/1.84 dependent: set(unit_deletion).
% 1.63/1.84
% 1.63/1.84 ------------> process usable:
% 1.63/1.84 ** KEPT (pick-wt=6): 1 [] f(A)| -f(z1(B,A)).
% 1.63/1.84 ** KEPT (pick-wt=6): 2 [] -g(z1(A,y))|g(A).
% 1.63/1.84 ** KEPT (pick-wt=8): 3 [] -g(z1(A,y))| -f(z1(A,B)).
% 1.63/1.84 ** KEPT (pick-wt=4): 4 [] -f(A)|h(A).
% 1.63/1.84 ** KEPT (pick-wt=4): 5 [] -g(A)|h(A).
% 1.63/1.84 ** KEPT (pick-wt=4): 6 [] -h(z2(A,B)).
% 1.63/1.84
% 1.63/1.84 ------------> process sos:
% 1.63/1.84 ** KEPT (pick-wt=4): 7 [] f(A)|g(B).
% 1.63/1.84
% 1.63/1.84 ======= end of input processing =======
% 1.63/1.84
% 1.63/1.84 =========== start of search ===========
% 1.63/1.84
% 1.63/1.84 -------- PROOF --------
% 1.63/1.84
% 1.63/1.84 ----> UNIT CONFLICT at 0.00 sec ----> 11 [binary,10.1,6.1] $F.
% 1.63/1.84
% 1.63/1.84 Length of proof is 3. Level of proof is 3.
% 1.63/1.84
% 1.63/1.84 ---------------- PROOF ----------------
% 1.63/1.84 % SZS status Unsatisfiable
% 1.63/1.84 % SZS output start Refutation
% See solution above
% 1.63/1.84 ------------ end of proof -------------
% 1.63/1.84
% 1.63/1.84
% 1.63/1.84 Search stopped by max_proofs option.
% 1.63/1.84
% 1.63/1.84
% 1.63/1.84 Search stopped by max_proofs option.
% 1.63/1.84
% 1.63/1.84 ============ end of search ============
% 1.63/1.84
% 1.63/1.84 -------------- statistics -------------
% 1.63/1.84 clauses given 3
% 1.63/1.84 clauses generated 4
% 1.63/1.84 clauses kept 10
% 1.63/1.84 clauses forward subsumed 1
% 1.63/1.84 clauses back subsumed 3
% 1.63/1.84 Kbytes malloced 976
% 1.63/1.84
% 1.63/1.84 ----------- times (seconds) -----------
% 1.63/1.84 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.84 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.63/1.84 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.63/1.84
% 1.63/1.84 That finishes the proof of the theorem.
% 1.63/1.84
% 1.63/1.84 Process 29495 finished Wed Jul 27 11:01:22 2022
% 1.63/1.84 Otter interrupted
% 1.63/1.84 PROOF FOUND
%------------------------------------------------------------------------------