TSTP Solution File: SYN070-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:23:29 EDT 2022
% Result : Unsatisfiable 1.68s 1.88s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 7 unt; 9 nHn; 19 RR)
% Number of literals : 42 ( 0 equ; 15 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_f(A)
| big_f(f(A))
| big_g(A) ),
file('SYN070-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big_f(A)
| big_h(f(A),A)
| big_g(A) ),
file('SYN070-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_f(A)
| ~ big_g(f(A))
| big_g(A) ),
file('SYN070-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_f(A)
| big_g(A)
| big_f(a) ),
file('SYN070-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_f(A)
| big_g(A)
| ~ big_g(a) ),
file('SYN070-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big_f(A)
| big_g(A)
| ~ big_f(B)
| big_g(B)
| big_j(a,B) ),
file('SYN070-1.p',unknown),
[] ).
cnf(7,plain,
( ~ big_f(A)
| big_g(A)
| big_j(a,A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[6])])]),
[iquote('copy,6,factor_simp,factor_simp')] ).
cnf(8,axiom,
( ~ big_f(A)
| ~ big_f(B)
| ~ big_h(A,B)
| ~ big_j(B,A) ),
file('SYN070-1.p',unknown),
[] ).
cnf(9,axiom,
~ big_g(b),
file('SYN070-1.p',unknown),
[] ).
cnf(11,axiom,
big_f(b),
file('SYN070-1.p',unknown),
[] ).
cnf(13,plain,
big_f(a),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[11,4]),9]),
[iquote('hyper,11,4,unit_del,9')] ).
cnf(17,plain,
( big_h(f(a),a)
| big_g(a) ),
inference(hyper,[status(thm)],[13,2]),
[iquote('hyper,13,2')] ).
cnf(18,plain,
( big_f(f(a))
| big_g(a) ),
inference(hyper,[status(thm)],[13,1]),
[iquote('hyper,13,1')] ).
cnf(25,plain,
big_f(f(a)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[18,5,11]),9]),
[iquote('hyper,18,5,11,unit_del,9')] ).
cnf(26,plain,
( big_g(f(a))
| big_j(a,f(a)) ),
inference(hyper,[status(thm)],[25,7]),
[iquote('hyper,25,7')] ).
cnf(31,plain,
big_h(f(a),a),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[17,5,11]),9]),
[iquote('hyper,17,5,11,unit_del,9')] ).
cnf(38,plain,
( big_j(a,f(a))
| big_g(a) ),
inference(hyper,[status(thm)],[26,3,13]),
[iquote('hyper,26,3,13')] ).
cnf(41,plain,
big_j(a,f(a)),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[38,5,11]),9]),
[iquote('hyper,38,5,11,unit_del,9')] ).
cnf(42,plain,
$false,
inference(hyper,[status(thm)],[41,8,25,13,31]),
[iquote('hyper,41,8,25,13,31')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 11:03:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.88 ----- Otter 3.3f, August 2004 -----
% 1.68/1.88 The process was started by sandbox on n008.cluster.edu,
% 1.68/1.88 Wed Jul 27 11:03:23 2022
% 1.68/1.88 The command was "./otter". The process ID is 29861.
% 1.68/1.88
% 1.68/1.88 set(prolog_style_variables).
% 1.68/1.88 set(auto).
% 1.68/1.88 dependent: set(auto1).
% 1.68/1.88 dependent: set(process_input).
% 1.68/1.88 dependent: clear(print_kept).
% 1.68/1.88 dependent: clear(print_new_demod).
% 1.68/1.88 dependent: clear(print_back_demod).
% 1.68/1.88 dependent: clear(print_back_sub).
% 1.68/1.88 dependent: set(control_memory).
% 1.68/1.88 dependent: assign(max_mem, 12000).
% 1.68/1.88 dependent: assign(pick_given_ratio, 4).
% 1.68/1.88 dependent: assign(stats_level, 1).
% 1.68/1.88 dependent: assign(max_seconds, 10800).
% 1.68/1.88 clear(print_given).
% 1.68/1.88
% 1.68/1.88 list(usable).
% 1.68/1.88 0 [] -big_f(X)|big_f(f(X))|big_g(X).
% 1.68/1.88 0 [] -big_f(X)|big_h(f(X),X)|big_g(X).
% 1.68/1.88 0 [] -big_f(X)| -big_g(f(X))|big_g(X).
% 1.68/1.88 0 [] -big_f(X)|big_g(X)|big_f(a).
% 1.68/1.88 0 [] -big_f(X)|big_g(X)| -big_g(a).
% 1.68/1.88 0 [] -big_f(X)|big_g(X)| -big_f(Y)|big_g(Y)|big_j(a,Y).
% 1.68/1.88 0 [] -big_f(X)| -big_f(Y)| -big_h(X,Y)| -big_j(Y,X).
% 1.68/1.88 0 [] big_f(b).
% 1.68/1.88 0 [] -big_g(b).
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.68/1.88
% 1.68/1.88 This is a non-Horn set without equality. The strategy will
% 1.68/1.88 be ordered hyper_res, unit deletion, and factoring, with
% 1.68/1.88 satellites in sos and with nuclei in usable.
% 1.68/1.88
% 1.68/1.88 dependent: set(hyper_res).
% 1.68/1.88 dependent: set(factor).
% 1.68/1.88 dependent: set(unit_deletion).
% 1.68/1.88
% 1.68/1.88 ------------> process usable:
% 1.68/1.88 ** KEPT (pick-wt=7): 1 [] -big_f(A)|big_f(f(A))|big_g(A).
% 1.68/1.88 ** KEPT (pick-wt=8): 2 [] -big_f(A)|big_h(f(A),A)|big_g(A).
% 1.68/1.88 ** KEPT (pick-wt=7): 3 [] -big_f(A)| -big_g(f(A))|big_g(A).
% 1.68/1.88 ** KEPT (pick-wt=6): 4 [] -big_f(A)|big_g(A)|big_f(a).
% 1.68/1.88 ** KEPT (pick-wt=6): 5 [] -big_f(A)|big_g(A)| -big_g(a).
% 1.68/1.88 ** KEPT (pick-wt=7): 7 [copy,6,factor_simp,factor_simp] -big_f(A)|big_g(A)|big_j(a,A).
% 1.68/1.88 ** KEPT (pick-wt=10): 8 [] -big_f(A)| -big_f(B)| -big_h(A,B)| -big_j(B,A).
% 1.68/1.88 ** KEPT (pick-wt=2): 9 [] -big_g(b).
% 1.68/1.88
% 1.68/1.88 ------------> process sos:
% 1.68/1.88 ** KEPT (pick-wt=2): 11 [] big_f(b).
% 1.68/1.88
% 1.68/1.88 ======= end of input processing =======
% 1.68/1.88
% 1.68/1.88 =========== start of search ===========
% 1.68/1.88
% 1.68/1.88 -------- PROOF --------
% 1.68/1.88
% 1.68/1.88 -----> EMPTY CLAUSE at 0.00 sec ----> 42 [hyper,41,8,25,13,31] $F.
% 1.68/1.88
% 1.68/1.88 Length of proof is 9. Level of proof is 6.
% 1.68/1.88
% 1.68/1.88 ---------------- PROOF ----------------
% 1.68/1.88 % SZS status Unsatisfiable
% 1.68/1.88 % SZS output start Refutation
% See solution above
% 1.68/1.88 ------------ end of proof -------------
% 1.68/1.88
% 1.68/1.88
% 1.68/1.88 Search stopped by max_proofs option.
% 1.68/1.88
% 1.68/1.88
% 1.68/1.88 Search stopped by max_proofs option.
% 1.68/1.88
% 1.68/1.88 ============ end of search ============
% 1.68/1.88
% 1.68/1.88 -------------- statistics -------------
% 1.68/1.88 clauses given 20
% 1.68/1.88 clauses generated 37
% 1.68/1.88 clauses kept 40
% 1.68/1.88 clauses forward subsumed 5
% 1.68/1.88 clauses back subsumed 15
% 1.68/1.88 Kbytes malloced 976
% 1.68/1.88
% 1.68/1.88 ----------- times (seconds) -----------
% 1.68/1.88 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.88 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.88 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.68/1.88
% 1.68/1.88 That finishes the proof of the theorem.
% 1.68/1.88
% 1.68/1.88 Process 29861 finished Wed Jul 27 11:03:25 2022
% 1.68/1.88 Otter interrupted
% 1.68/1.88 PROOF FOUND
%------------------------------------------------------------------------------