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 v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 : Theorem 1.58s 1.80s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(A)
| ~ big_g(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_f(A) ),
file('SYN055+1.p',unknown),
[] ).
cnf(8,axiom,
big_p(dollar_c1),
file('SYN055+1.p',unknown),
[] ).
cnf(11,plain,
big_f(dollar_c1),
inference(hyper,[status(thm)],[8,4]),
[iquote('hyper,8,4')] ).
cnf(12,plain,
big_g(dollar_c1),
inference(hyper,[status(thm)],[8,3]),
[iquote('hyper,8,3')] ).
cnf(14,plain,
$false,
inference(hyper,[status(thm)],[12,1,11]),
[iquote('hyper,12,1,11')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 11:22:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.58/1.80 ----- Otter 3.3f, August 2004 -----
% 1.58/1.80 The process was started by sandbox on n024.cluster.edu,
% 1.58/1.80 Wed Jul 27 11:22:40 2022
% 1.58/1.80 The command was "./otter". The process ID is 22113.
% 1.58/1.80
% 1.58/1.80 set(prolog_style_variables).
% 1.58/1.80 set(auto).
% 1.58/1.80 dependent: set(auto1).
% 1.58/1.80 dependent: set(process_input).
% 1.58/1.80 dependent: clear(print_kept).
% 1.58/1.80 dependent: clear(print_new_demod).
% 1.58/1.80 dependent: clear(print_back_demod).
% 1.58/1.80 dependent: clear(print_back_sub).
% 1.58/1.80 dependent: set(control_memory).
% 1.58/1.80 dependent: assign(max_mem, 12000).
% 1.58/1.80 dependent: assign(pick_given_ratio, 4).
% 1.58/1.80 dependent: assign(stats_level, 1).
% 1.58/1.80 dependent: assign(max_seconds, 10800).
% 1.58/1.80 clear(print_given).
% 1.58/1.80
% 1.58/1.80 formula_list(usable).
% 1.58/1.80 exists X big_p(X).
% 1.58/1.80 all X (big_f(X)-> -big_g(X)&big_r(X)).
% 1.58/1.80 all X (big_p(X)->big_g(X)&big_f(X)).
% 1.58/1.80 (all X (big_p(X)->big_q(X)))| (exists Z (big_p(Z)&big_r(Z))).
% 1.58/1.80 -(exists X (big_q(X)&big_p(X))).
% 1.58/1.80 end_of_list.
% 1.58/1.80
% 1.58/1.80 -------> usable clausifies to:
% 1.58/1.80
% 1.58/1.80 list(usable).
% 1.58/1.80 0 [] big_p($c1).
% 1.58/1.80 0 [] -big_f(X)| -big_g(X).
% 1.58/1.80 0 [] -big_f(X)|big_r(X).
% 1.58/1.80 0 [] -big_p(X)|big_g(X).
% 1.58/1.80 0 [] -big_p(X)|big_f(X).
% 1.58/1.80 0 [] -big_p(X)|big_q(X)|big_p($c2).
% 1.58/1.80 0 [] -big_p(X)|big_q(X)|big_r($c2).
% 1.58/1.80 0 [] -big_q(X)| -big_p(X).
% 1.58/1.80 end_of_list.
% 1.58/1.80
% 1.58/1.80 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.58/1.80
% 1.58/1.80 This is a non-Horn set without equality. The strategy will
% 1.58/1.80 be ordered hyper_res, unit deletion, and factoring, with
% 1.58/1.80 satellites in sos and with nuclei in usable.
% 1.58/1.80
% 1.58/1.80 dependent: set(hyper_res).
% 1.58/1.80 dependent: set(factor).
% 1.58/1.80 dependent: set(unit_deletion).
% 1.58/1.80
% 1.58/1.80 ------------> process usable:
% 1.58/1.80 ** KEPT (pick-wt=4): 1 [] -big_f(A)| -big_g(A).
% 1.58/1.80 ** KEPT (pick-wt=4): 2 [] -big_f(A)|big_r(A).
% 1.58/1.80 ** KEPT (pick-wt=4): 3 [] -big_p(A)|big_g(A).
% 1.58/1.80 ** KEPT (pick-wt=4): 4 [] -big_p(A)|big_f(A).
% 1.58/1.80 ** KEPT (pick-wt=6): 5 [] -big_p(A)|big_q(A)|big_p($c2).
% 1.58/1.80 ** KEPT (pick-wt=6): 6 [] -big_p(A)|big_q(A)|big_r($c2).
% 1.58/1.80 ** KEPT (pick-wt=4): 7 [] -big_q(A)| -big_p(A).
% 1.58/1.80
% 1.58/1.80 ------------> process sos:
% 1.58/1.80 ** KEPT (pick-wt=2): 8 [] big_p($c1).
% 1.58/1.80
% 1.58/1.80 ======= end of input processing =======
% 1.58/1.80
% 1.58/1.80 =========== start of search ===========
% 1.58/1.80
% 1.58/1.80 -------- PROOF --------
% 1.58/1.80
% 1.58/1.80 -----> EMPTY CLAUSE at 0.00 sec ----> 14 [hyper,12,1,11] $F.
% 1.58/1.80
% 1.58/1.80 Length of proof is 2. Level of proof is 1.
% 1.58/1.80
% 1.58/1.80 ---------------- PROOF ----------------
% 1.58/1.80 % SZS status Theorem
% 1.58/1.80 % SZS output start Refutation
% See solution above
% 1.58/1.80 ------------ end of proof -------------
% 1.58/1.80
% 1.58/1.80
% 1.58/1.80 Search stopped by max_proofs option.
% 1.58/1.80
% 1.58/1.80
% 1.58/1.80 Search stopped by max_proofs option.
% 1.58/1.80
% 1.58/1.80 ============ end of search ============
% 1.58/1.80
% 1.58/1.80 -------------- statistics -------------
% 1.58/1.80 clauses given 3
% 1.58/1.80 clauses generated 6
% 1.58/1.80 clauses kept 13
% 1.58/1.80 clauses forward subsumed 0
% 1.58/1.80 clauses back subsumed 0
% 1.58/1.80 Kbytes malloced 976
% 1.58/1.80
% 1.58/1.80 ----------- times (seconds) -----------
% 1.58/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.58/1.80 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.58/1.80
% 1.58/1.80 That finishes the proof of the theorem.
% 1.58/1.80
% 1.58/1.80 Process 22113 finished Wed Jul 27 11:22:41 2022
% 1.58/1.80 Otter interrupted
% 1.58/1.80 PROOF FOUND
%------------------------------------------------------------------------------