TSTP Solution File: SYN012-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n011.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 13:23:18 EDT 2022
% Result : Unsatisfiable 1.94s 2.11s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 3 unt; 8 nHn; 6 RR)
% Number of literals : 33 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(A,B)
| ~ big_f(A,g(A,B))
| big_g(B,g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big_f(A,B)
| big_f(A,g(A,B))
| ~ big_g(B,g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_f(A,B)
| ~ big_f(g(A,B),g(A,B))
| big_g(g(A,B),g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(4,axiom,
( big_f(A,B)
| ~ big_g(g(A,B),g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_g(A,B)
| ~ big_g(g(A,B),g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(6,axiom,
( big_f(A,B)
| big_f(g(A,B),g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(7,axiom,
( big_g(A,B)
| big_g(g(A,B),g(A,B)) ),
file('SYN012-1.p',unknown),
[] ).
cnf(15,plain,
( big_g(A,B)
| big_f(A,B) ),
inference(hyper,[status(thm)],[7,4]),
[iquote('hyper,7,4')] ).
cnf(18,plain,
( big_f(A,g(B,A))
| big_f(B,g(B,A))
| big_f(g(B,A),g(B,A)) ),
inference(hyper,[status(thm)],[15,2,6]),
[iquote('hyper,15,2,6')] ).
cnf(19,plain,
( big_f(A,g(A,A))
| big_f(g(A,A),g(A,A)) ),
inference(factor,[status(thm)],[18]),
[iquote('factor,18.1.2')] ).
cnf(25,plain,
( big_f(g(A,A),g(A,A))
| big_g(A,g(A,A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[19,1,6])]),
[iquote('hyper,19,1,6,factor_simp')] ).
cnf(31,plain,
( big_f(g(A,A),g(A,A))
| big_f(g(A,g(A,A)),g(A,g(A,A))) ),
inference(hyper,[status(thm)],[25,5,15]),
[iquote('hyper,25,5,15')] ).
cnf(131,plain,
( big_f(g(A,A),g(A,A))
| big_g(g(A,g(A,A)),g(A,g(A,A))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[31,3,19])]),
[iquote('hyper,31,3,19,factor_simp')] ).
cnf(139,plain,
big_f(g(A,A),g(A,A)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[131,5,25])]),
[iquote('hyper,131,5,25,factor_simp')] ).
cnf(140,plain,
big_g(g(g(A,A),g(A,A)),g(g(A,A),g(A,A))),
inference(hyper,[status(thm)],[139,3,139]),
[iquote('hyper,139,3,139')] ).
cnf(154,plain,
$false,
inference(hyper,[status(thm)],[140,5,140]),
[iquote('hyper,140,5,140')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n011.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 11:13:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.11 ----- Otter 3.3f, August 2004 -----
% 1.94/2.11 The process was started by sandbox2 on n011.cluster.edu,
% 1.94/2.11 Wed Jul 27 11:13:41 2022
% 1.94/2.11 The command was "./otter". The process ID is 28869.
% 1.94/2.11
% 1.94/2.11 set(prolog_style_variables).
% 1.94/2.11 set(auto).
% 1.94/2.11 dependent: set(auto1).
% 1.94/2.11 dependent: set(process_input).
% 1.94/2.11 dependent: clear(print_kept).
% 1.94/2.11 dependent: clear(print_new_demod).
% 1.94/2.11 dependent: clear(print_back_demod).
% 1.94/2.11 dependent: clear(print_back_sub).
% 1.94/2.11 dependent: set(control_memory).
% 1.94/2.11 dependent: assign(max_mem, 12000).
% 1.94/2.11 dependent: assign(pick_given_ratio, 4).
% 1.94/2.11 dependent: assign(stats_level, 1).
% 1.94/2.11 dependent: assign(max_seconds, 10800).
% 1.94/2.11 clear(print_given).
% 1.94/2.11
% 1.94/2.11 list(usable).
% 1.94/2.11 0 [] -big_f(X,Y)| -big_f(X,g(X,Y))|big_g(Y,g(X,Y)).
% 1.94/2.11 0 [] -big_f(X,Y)|big_f(X,g(X,Y))| -big_g(Y,g(X,Y)).
% 1.94/2.11 0 [] -big_f(X,Y)| -big_f(g(X,Y),g(X,Y))|big_g(g(X,Y),g(X,Y)).
% 1.94/2.11 0 [] big_f(X,Y)|big_f(g(X,Y),g(X,Y)).
% 1.94/2.11 0 [] big_f(X,Y)| -big_g(g(X,Y),g(X,Y)).
% 1.94/2.11 0 [] big_g(X,Y)|big_g(g(X,Y),g(X,Y)).
% 1.94/2.11 0 [] -big_g(X,Y)| -big_g(g(X,Y),g(X,Y)).
% 1.94/2.11 end_of_list.
% 1.94/2.11
% 1.94/2.11 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.94/2.11
% 1.94/2.11 This is a non-Horn set without equality. The strategy will
% 1.94/2.11 be ordered hyper_res, unit deletion, and factoring, with
% 1.94/2.11 satellites in sos and with nuclei in usable.
% 1.94/2.11
% 1.94/2.11 dependent: set(hyper_res).
% 1.94/2.11 dependent: set(factor).
% 1.94/2.11 dependent: set(unit_deletion).
% 1.94/2.11
% 1.94/2.11 ------------> process usable:
% 1.94/2.11 ** KEPT (pick-wt=13): 1 [] -big_f(A,B)| -big_f(A,g(A,B))|big_g(B,g(A,B)).
% 1.94/2.11 ** KEPT (pick-wt=13): 2 [] -big_f(A,B)|big_f(A,g(A,B))| -big_g(B,g(A,B)).
% 1.94/2.11 ** KEPT (pick-wt=17): 3 [] -big_f(A,B)| -big_f(g(A,B),g(A,B))|big_g(g(A,B),g(A,B)).
% 1.94/2.11 ** KEPT (pick-wt=10): 4 [] big_f(A,B)| -big_g(g(A,B),g(A,B)).
% 1.94/2.11 ** KEPT (pick-wt=10): 5 [] -big_g(A,B)| -big_g(g(A,B),g(A,B)).
% 1.94/2.11
% 1.94/2.11 ------------> process sos:
% 1.94/2.11 ** KEPT (pick-wt=10): 6 [] big_f(A,B)|big_f(g(A,B),g(A,B)).
% 1.94/2.11 ** KEPT (pick-wt=10): 7 [] big_g(A,B)|big_g(g(A,B),g(A,B)).
% 1.94/2.11
% 1.94/2.11 ======= end of input processing =======
% 1.94/2.11
% 1.94/2.11 =========== start of search ===========
% 1.94/2.11
% 1.94/2.11 -------- PROOF --------
% 1.94/2.11
% 1.94/2.11 -----> EMPTY CLAUSE at 0.02 sec ----> 154 [hyper,140,5,140] $F.
% 1.94/2.11
% 1.94/2.11 Length of proof is 8. Level of proof is 8.
% 1.94/2.11
% 1.94/2.11 ---------------- PROOF ----------------
% 1.94/2.11 % SZS status Unsatisfiable
% 1.94/2.11 % SZS output start Refutation
% See solution above
% 1.94/2.11 ------------ end of proof -------------
% 1.94/2.11
% 1.94/2.11
% 1.94/2.11 Search stopped by max_proofs option.
% 1.94/2.11
% 1.94/2.11
% 1.94/2.11 Search stopped by max_proofs option.
% 1.94/2.11
% 1.94/2.11 ============ end of search ============
% 1.94/2.11
% 1.94/2.11 -------------- statistics -------------
% 1.94/2.11 clauses given 23
% 1.94/2.11 clauses generated 442
% 1.94/2.11 clauses kept 153
% 1.94/2.11 clauses forward subsumed 295
% 1.94/2.11 clauses back subsumed 105
% 1.94/2.11 Kbytes malloced 2929
% 1.94/2.11
% 1.94/2.11 ----------- times (seconds) -----------
% 1.94/2.11 user CPU time 0.02 (0 hr, 0 min, 0 sec)
% 1.94/2.11 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.11 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.94/2.11
% 1.94/2.11 That finishes the proof of the theorem.
% 1.94/2.11
% 1.94/2.11 Process 28869 finished Wed Jul 27 11:13:42 2022
% 1.94/2.11 Otter interrupted
% 1.94/2.11 PROOF FOUND
%------------------------------------------------------------------------------