TSTP Solution File: SYN031-1 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 13:23:19 EDT 2022
% Result : Unsatisfiable 1.93s 2.13s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 4 unt; 1 nHn; 6 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ g(A,B)
| g(B,f(B)) ),
file('SYN031-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ g(A,B)
| ~ g(B,a) ),
file('SYN031-1.p',unknown),
[] ).
cnf(4,plain,
~ g(a,a),
inference(factor,[status(thm)],[3]),
[iquote('factor,3.1.2')] ).
cnf(5,axiom,
( g(A,a)
| g(f(A),A) ),
file('SYN031-1.p',unknown),
[] ).
cnf(7,plain,
g(f(a),a),
inference(hyper,[status(thm)],[5,4]),
[iquote('hyper,5,4')] ).
cnf(9,plain,
g(a,f(a)),
inference(hyper,[status(thm)],[7,2]),
[iquote('hyper,7,2')] ).
cnf(10,plain,
$false,
inference(hyper,[status(thm)],[9,3,7]),
[iquote('hyper,9,3,7')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 11:18:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.93/2.13 ----- Otter 3.3f, August 2004 -----
% 1.93/2.13 The process was started by sandbox2 on n025.cluster.edu,
% 1.93/2.13 Wed Jul 27 11:18:00 2022
% 1.93/2.13 The command was "./otter". The process ID is 18484.
% 1.93/2.13
% 1.93/2.13 set(prolog_style_variables).
% 1.93/2.13 set(auto).
% 1.93/2.13 dependent: set(auto1).
% 1.93/2.13 dependent: set(process_input).
% 1.93/2.13 dependent: clear(print_kept).
% 1.93/2.13 dependent: clear(print_new_demod).
% 1.93/2.13 dependent: clear(print_back_demod).
% 1.93/2.13 dependent: clear(print_back_sub).
% 1.93/2.13 dependent: set(control_memory).
% 1.93/2.13 dependent: assign(max_mem, 12000).
% 1.93/2.13 dependent: assign(pick_given_ratio, 4).
% 1.93/2.13 dependent: assign(stats_level, 1).
% 1.93/2.13 dependent: assign(max_seconds, 10800).
% 1.93/2.13 clear(print_given).
% 1.93/2.13
% 1.93/2.13 list(usable).
% 1.93/2.13 0 [] g(A,a)|g(f(A),A).
% 1.93/2.13 0 [] g(A,a)|g(A,f(A)).
% 1.93/2.13 0 [] -g(A,B)|g(f(B),B).
% 1.93/2.13 0 [] -g(A,B)|g(B,f(B)).
% 1.93/2.13 0 [] -g(A,B)| -g(B,a).
% 1.93/2.13 end_of_list.
% 1.93/2.13
% 1.93/2.13 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=2.
% 1.93/2.13
% 1.93/2.13 This is a non-Horn set without equality. The strategy will
% 1.93/2.13 be ordered hyper_res, unit deletion, and factoring, with
% 1.93/2.13 satellites in sos and with nuclei in usable.
% 1.93/2.13
% 1.93/2.13 dependent: set(hyper_res).
% 1.93/2.13 dependent: set(factor).
% 1.93/2.13 dependent: set(unit_deletion).
% 1.93/2.13
% 1.93/2.13 ------------> process usable:
% 1.93/2.13 ** KEPT (pick-wt=7): 1 [] -g(A,B)|g(f(B),B).
% 1.93/2.13 ** KEPT (pick-wt=7): 2 [] -g(A,B)|g(B,f(B)).
% 1.93/2.13 ** KEPT (pick-wt=6): 3 [] -g(A,B)| -g(B,a).
% 1.93/2.13
% 1.93/2.13 ------------> process sos:
% 1.93/2.13 ** KEPT (pick-wt=7): 5 [] g(A,a)|g(f(A),A).
% 1.93/2.13 ** KEPT (pick-wt=7): 6 [] g(A,a)|g(A,f(A)).
% 1.93/2.13
% 1.93/2.13 ======= end of input processing =======
% 1.93/2.13
% 1.93/2.13 =========== start of search ===========
% 1.93/2.13
% 1.93/2.13 -------- PROOF --------
% 1.93/2.13
% 1.93/2.13 -----> EMPTY CLAUSE at 0.00 sec ----> 10 [hyper,9,3,7] $F.
% 1.93/2.13
% 1.93/2.13 Length of proof is 3. Level of proof is 3.
% 1.93/2.13
% 1.93/2.13 ---------------- PROOF ----------------
% 1.93/2.13 % SZS status Unsatisfiable
% 1.93/2.13 % SZS output start Refutation
% See solution above
% 1.93/2.13 ------------ end of proof -------------
% 1.93/2.13
% 1.93/2.13
% 1.93/2.13 Search stopped by max_proofs option.
% 1.93/2.13
% 1.93/2.13
% 1.93/2.13 Search stopped by max_proofs option.
% 1.93/2.13
% 1.93/2.13 ============ end of search ============
% 1.93/2.13
% 1.93/2.13 -------------- statistics -------------
% 1.93/2.13 clauses given 3
% 1.93/2.13 clauses generated 17
% 1.93/2.13 clauses kept 9
% 1.93/2.13 clauses forward subsumed 12
% 1.93/2.13 clauses back subsumed 1
% 1.93/2.13 Kbytes malloced 976
% 1.93/2.13
% 1.93/2.13 ----------- times (seconds) -----------
% 1.93/2.13 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.93/2.13 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.93/2.13 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.93/2.13
% 1.93/2.13 That finishes the proof of the theorem.
% 1.93/2.13
% 1.93/2.13 Process 18484 finished Wed Jul 27 11:18:02 2022
% 1.93/2.13 Otter interrupted
% 1.93/2.13 PROOF FOUND
%------------------------------------------------------------------------------