TSTP Solution File: SYN055-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN055-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:23:25 EDT 2022
% Result : Unsatisfiable 1.67s 1.89s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 6 unt; 4 nHn; 14 RR)
% Number of literals : 25 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(A)
| ~ big_g(A)
| ~ big_r(A) ),
file('SYN055-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big_p(A)
| big_f(A) ),
file('SYN055-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_p(A)
| big_g(A) ),
file('SYN055-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_p(A)
| big_q(A)
| big_p(b) ),
file('SYN055-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_p(A)
| big_q(A)
| big_r(b) ),
file('SYN055-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big_q(A)
| ~ big_p(A) ),
file('SYN055-1.p',unknown),
[] ).
cnf(7,axiom,
big_p(a),
file('SYN055-1.p',unknown),
[] ).
cnf(8,plain,
( big_q(a)
| big_r(b) ),
inference(hyper,[status(thm)],[7,5]),
[iquote('hyper,7,5')] ).
cnf(9,plain,
( big_q(a)
| big_p(b) ),
inference(hyper,[status(thm)],[7,4]),
[iquote('hyper,7,4')] ).
cnf(12,plain,
big_p(b),
inference(hyper,[status(thm)],[9,6,7]),
[iquote('hyper,9,6,7')] ).
cnf(14,plain,
big_g(b),
inference(hyper,[status(thm)],[12,3]),
[iquote('hyper,12,3')] ).
cnf(15,plain,
big_f(b),
inference(hyper,[status(thm)],[12,2]),
[iquote('hyper,12,2')] ).
cnf(16,plain,
big_q(a),
inference(hyper,[status(thm)],[15,1,14,8]),
[iquote('hyper,15,1,14,8')] ).
cnf(17,plain,
$false,
inference(hyper,[status(thm)],[16,6,7]),
[iquote('hyper,16,6,7')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN055-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 11:40:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.89 ----- Otter 3.3f, August 2004 -----
% 1.67/1.89 The process was started by sandbox on n027.cluster.edu,
% 1.67/1.89 Wed Jul 27 11:40:37 2022
% 1.67/1.89 The command was "./otter". The process ID is 21152.
% 1.67/1.89
% 1.67/1.89 set(prolog_style_variables).
% 1.67/1.89 set(auto).
% 1.67/1.89 dependent: set(auto1).
% 1.67/1.89 dependent: set(process_input).
% 1.67/1.89 dependent: clear(print_kept).
% 1.67/1.89 dependent: clear(print_new_demod).
% 1.67/1.89 dependent: clear(print_back_demod).
% 1.67/1.89 dependent: clear(print_back_sub).
% 1.67/1.89 dependent: set(control_memory).
% 1.67/1.89 dependent: assign(max_mem, 12000).
% 1.67/1.89 dependent: assign(pick_given_ratio, 4).
% 1.67/1.89 dependent: assign(stats_level, 1).
% 1.67/1.89 dependent: assign(max_seconds, 10800).
% 1.67/1.89 clear(print_given).
% 1.67/1.89
% 1.67/1.89 list(usable).
% 1.67/1.89 0 [] big_p(a).
% 1.67/1.89 0 [] -big_f(X)| -big_g(X)| -big_r(X).
% 1.67/1.89 0 [] -big_p(X)|big_f(X).
% 1.67/1.89 0 [] -big_p(X)|big_g(X).
% 1.67/1.89 0 [] -big_p(X)|big_q(X)|big_p(b).
% 1.67/1.89 0 [] -big_p(X)|big_q(X)|big_r(b).
% 1.67/1.89 0 [] -big_q(X)| -big_p(X).
% 1.67/1.89 end_of_list.
% 1.67/1.89
% 1.67/1.89 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.67/1.89
% 1.67/1.89 This is a non-Horn set without equality. The strategy will
% 1.67/1.89 be ordered hyper_res, unit deletion, and factoring, with
% 1.67/1.89 satellites in sos and with nuclei in usable.
% 1.67/1.89
% 1.67/1.89 dependent: set(hyper_res).
% 1.67/1.89 dependent: set(factor).
% 1.67/1.89 dependent: set(unit_deletion).
% 1.67/1.89
% 1.67/1.89 ------------> process usable:
% 1.67/1.89 ** KEPT (pick-wt=6): 1 [] -big_f(A)| -big_g(A)| -big_r(A).
% 1.67/1.89 ** KEPT (pick-wt=4): 2 [] -big_p(A)|big_f(A).
% 1.67/1.89 ** KEPT (pick-wt=4): 3 [] -big_p(A)|big_g(A).
% 1.67/1.89 ** KEPT (pick-wt=6): 4 [] -big_p(A)|big_q(A)|big_p(b).
% 1.67/1.89 ** KEPT (pick-wt=6): 5 [] -big_p(A)|big_q(A)|big_r(b).
% 1.67/1.89 ** KEPT (pick-wt=4): 6 [] -big_q(A)| -big_p(A).
% 1.67/1.89
% 1.67/1.89 ------------> process sos:
% 1.67/1.89 ** KEPT (pick-wt=2): 7 [] big_p(a).
% 1.67/1.89
% 1.67/1.89 ======= end of input processing =======
% 1.67/1.89
% 1.67/1.89 =========== start of search ===========
% 1.67/1.89
% 1.67/1.89 -------- PROOF --------
% 1.67/1.89
% 1.67/1.89 -----> EMPTY CLAUSE at 0.00 sec ----> 17 [hyper,16,6,7] $F.
% 1.67/1.89
% 1.67/1.89 Length of proof is 6. Level of proof is 4.
% 1.67/1.89
% 1.67/1.89 ---------------- PROOF ----------------
% 1.67/1.89 % SZS status Unsatisfiable
% 1.67/1.89 % SZS output start Refutation
% See solution above
% 1.67/1.89 ------------ end of proof -------------
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89
% 1.67/1.89 Search stopped by max_proofs option.
% 1.67/1.89
% 1.67/1.89 ============ end of search ============
% 1.67/1.89
% 1.67/1.89 -------------- statistics -------------
% 1.67/1.89 clauses given 9
% 1.67/1.89 clauses generated 10
% 1.67/1.89 clauses kept 16
% 1.67/1.89 clauses forward subsumed 0
% 1.67/1.89 clauses back subsumed 3
% 1.67/1.89 Kbytes malloced 976
% 1.67/1.89
% 1.67/1.89 ----------- times (seconds) -----------
% 1.67/1.89 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.67/1.89 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.67/1.89
% 1.67/1.89 That finishes the proof of the theorem.
% 1.67/1.89
% 1.67/1.89 Process 21152 finished Wed Jul 27 11:40:38 2022
% 1.67/1.89 Otter interrupted
% 1.67/1.89 PROOF FOUND
%------------------------------------------------------------------------------