TSTP Solution File: SYN052-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:23:24 EDT 2022
% Result : Unsatisfiable 1.53s 1.75s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 3 unt; 1 nHn; 4 RR)
% Number of literals : 11 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 4 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p
| ~ big_f(A) ),
file('SYN052-1.p',unknown),
[] ).
cnf(2,axiom,
( big_f(A)
| ~ p ),
file('SYN052-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p
| ~ big_f(a) ),
file('SYN052-1.p',unknown),
[] ).
cnf(5,axiom,
( big_f(A)
| p ),
file('SYN052-1.p',unknown),
[] ).
cnf(6,plain,
p,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5,1])]),
[iquote('hyper,5,1,factor_simp')] ).
cnf(7,plain,
big_f(A),
inference(hyper,[status(thm)],[6,2]),
[iquote('hyper,6,2')] ).
cnf(8,plain,
$false,
inference(hyper,[status(thm)],[7,3,6]),
[iquote('hyper,7,3,6')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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 10:39:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.53/1.75 ----- Otter 3.3f, August 2004 -----
% 1.53/1.75 The process was started by sandbox on n017.cluster.edu,
% 1.53/1.75 Wed Jul 27 10:39:18 2022
% 1.53/1.75 The command was "./otter". The process ID is 20366.
% 1.53/1.75
% 1.53/1.75 set(prolog_style_variables).
% 1.53/1.75 set(auto).
% 1.53/1.75 dependent: set(auto1).
% 1.53/1.75 dependent: set(process_input).
% 1.53/1.75 dependent: clear(print_kept).
% 1.53/1.75 dependent: clear(print_new_demod).
% 1.53/1.75 dependent: clear(print_back_demod).
% 1.53/1.75 dependent: clear(print_back_sub).
% 1.53/1.75 dependent: set(control_memory).
% 1.53/1.75 dependent: assign(max_mem, 12000).
% 1.53/1.75 dependent: assign(pick_given_ratio, 4).
% 1.53/1.75 dependent: assign(stats_level, 1).
% 1.53/1.75 dependent: assign(max_seconds, 10800).
% 1.53/1.75 clear(print_given).
% 1.53/1.75
% 1.53/1.75 list(usable).
% 1.53/1.75 0 [] p| -big_f(X).
% 1.53/1.75 0 [] big_f(X)| -p.
% 1.53/1.75 0 [] big_f(Y)|p.
% 1.53/1.75 0 [] -p| -big_f(a).
% 1.53/1.75 0 [] big_f(Y)| -big_f(a).
% 1.53/1.75 end_of_list.
% 1.53/1.75
% 1.53/1.75 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.53/1.75
% 1.53/1.75 This is a non-Horn set without equality. The strategy will
% 1.53/1.75 be ordered hyper_res, unit deletion, and factoring, with
% 1.53/1.75 satellites in sos and with nuclei in usable.
% 1.53/1.75
% 1.53/1.75 dependent: set(hyper_res).
% 1.53/1.75 dependent: set(factor).
% 1.53/1.75 dependent: set(unit_deletion).
% 1.53/1.75
% 1.53/1.75 ------------> process usable:
% 1.53/1.75 ** KEPT (pick-wt=3): 1 [] p| -big_f(A).
% 1.53/1.75 ** KEPT (pick-wt=3): 2 [] big_f(A)| -p.
% 1.53/1.75 ** KEPT (pick-wt=3): 3 [] -p| -big_f(a).
% 1.53/1.75 ** KEPT (pick-wt=4): 4 [] big_f(A)| -big_f(a).
% 1.53/1.75
% 1.53/1.75 ------------> process sos:
% 1.53/1.75 ** KEPT (pick-wt=3): 5 [] big_f(A)|p.
% 1.53/1.75
% 1.53/1.75 ======= end of input processing =======
% 1.53/1.75
% 1.53/1.75 =========== start of search ===========
% 1.53/1.75
% 1.53/1.75 -------- PROOF --------
% 1.53/1.75
% 1.53/1.75 -----> EMPTY CLAUSE at 0.00 sec ----> 8 [hyper,7,3,6] $F.
% 1.53/1.75
% 1.53/1.75 Length of proof is 2. Level of proof is 2.
% 1.53/1.75
% 1.53/1.75 ---------------- PROOF ----------------
% 1.53/1.75 % SZS status Unsatisfiable
% 1.53/1.75 % SZS output start Refutation
% See solution above
% 1.53/1.75 ------------ end of proof -------------
% 1.53/1.75
% 1.53/1.75
% 1.53/1.75 Search stopped by max_proofs option.
% 1.53/1.75
% 1.53/1.75
% 1.53/1.75 Search stopped by max_proofs option.
% 1.53/1.75
% 1.53/1.75 ============ end of search ============
% 1.53/1.75
% 1.53/1.75 -------------- statistics -------------
% 1.53/1.75 clauses given 3
% 1.53/1.75 clauses generated 4
% 1.53/1.75 clauses kept 7
% 1.53/1.75 clauses forward subsumed 1
% 1.53/1.75 clauses back subsumed 4
% 1.53/1.75 Kbytes malloced 976
% 1.53/1.75
% 1.53/1.75 ----------- times (seconds) -----------
% 1.53/1.75 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.53/1.75 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.53/1.75 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.53/1.75
% 1.53/1.75 That finishes the proof of the theorem.
% 1.53/1.75
% 1.53/1.75 Process 20366 finished Wed Jul 27 10:39:19 2022
% 1.53/1.75 Otter interrupted
% 1.53/1.75 PROOF FOUND
%------------------------------------------------------------------------------