TSTP Solution File: SYN034-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN034-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n027.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 13:23:20 EDT 2022
% Result : Unsatisfiable 1.73s 1.92s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 4 unt; 2 nHn; 6 RR)
% Number of literals : 13 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 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 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(A,B)
| ~ p(B,A)
| ~ p(B,a) ),
file('SYN034-1.p',unknown),
[] ).
cnf(3,plain,
~ p(a,a),
inference(factor_simp,[status(thm)],[inference(factor,[status(thm)],[1])]),
[iquote('factor,1.1.3,factor_simp')] ).
cnf(4,plain,
( ~ p(a,A)
| ~ p(A,a) ),
inference(factor,[status(thm)],[1]),
[iquote('factor,1.2.3')] ).
cnf(5,axiom,
( p(A,a)
| p(A,f(A)) ),
file('SYN034-1.p',unknown),
[] ).
cnf(6,axiom,
( p(A,a)
| p(f(A),A) ),
file('SYN034-1.p',unknown),
[] ).
cnf(8,plain,
p(a,f(a)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5,4,5])]),
[iquote('hyper,5,4,5,factor_simp')] ).
cnf(12,plain,
p(a,a),
inference(hyper,[status(thm)],[6,4,8]),
[iquote('hyper,6,4,8')] ).
cnf(13,plain,
$false,
inference(binary,[status(thm)],[12,3]),
[iquote('binary,12.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n027.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 11:37:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.73/1.92 ----- Otter 3.3f, August 2004 -----
% 1.73/1.92 The process was started by sandbox on n027.cluster.edu,
% 1.73/1.92 Wed Jul 27 11:37:22 2022
% 1.73/1.92 The command was "./otter". The process ID is 10588.
% 1.73/1.92
% 1.73/1.92 set(prolog_style_variables).
% 1.73/1.92 set(auto).
% 1.73/1.92 dependent: set(auto1).
% 1.73/1.92 dependent: set(process_input).
% 1.73/1.92 dependent: clear(print_kept).
% 1.73/1.92 dependent: clear(print_new_demod).
% 1.73/1.92 dependent: clear(print_back_demod).
% 1.73/1.92 dependent: clear(print_back_sub).
% 1.73/1.92 dependent: set(control_memory).
% 1.73/1.92 dependent: assign(max_mem, 12000).
% 1.73/1.92 dependent: assign(pick_given_ratio, 4).
% 1.73/1.92 dependent: assign(stats_level, 1).
% 1.73/1.92 dependent: assign(max_seconds, 10800).
% 1.73/1.92 clear(print_given).
% 1.73/1.92
% 1.73/1.92 list(usable).
% 1.73/1.92 0 [] p(A,a)|p(A,f(A)).
% 1.73/1.92 0 [] p(A,a)|p(f(A),A).
% 1.73/1.92 0 [] -p(A,B)| -p(B,A)| -p(B,a).
% 1.73/1.92 end_of_list.
% 1.73/1.92
% 1.73/1.92 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.73/1.92
% 1.73/1.92 This is a non-Horn set without equality. The strategy will
% 1.73/1.92 be ordered hyper_res, unit deletion, and factoring, with
% 1.73/1.92 satellites in sos and with nuclei in usable.
% 1.73/1.92
% 1.73/1.92 dependent: set(hyper_res).
% 1.73/1.92 dependent: set(factor).
% 1.73/1.92 dependent: set(unit_deletion).
% 1.73/1.92
% 1.73/1.92 ------------> process usable:
% 1.73/1.92 ** KEPT (pick-wt=9): 1 [] -p(A,B)| -p(B,A)| -p(B,a).
% 1.73/1.92
% 1.73/1.92 ------------> process sos:
% 1.73/1.92 ** KEPT (pick-wt=7): 5 [] p(A,a)|p(A,f(A)).
% 1.73/1.92 ** KEPT (pick-wt=7): 6 [] p(A,a)|p(f(A),A).
% 1.73/1.92
% 1.73/1.92 ======= end of input processing =======
% 1.73/1.92
% 1.73/1.92 =========== start of search ===========
% 1.73/1.92
% 1.73/1.92 -------- PROOF --------
% 1.73/1.92
% 1.73/1.92 ----> UNIT CONFLICT at 0.00 sec ----> 13 [binary,12.1,3.1] $F.
% 1.73/1.92
% 1.73/1.92 Length of proof is 4. Level of proof is 3.
% 1.73/1.92
% 1.73/1.92 ---------------- PROOF ----------------
% 1.73/1.92 % SZS status Unsatisfiable
% 1.73/1.92 % SZS output start Refutation
% See solution above
% 1.73/1.92 ------------ end of proof -------------
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92
% 1.73/1.92 Search stopped by max_proofs option.
% 1.73/1.92
% 1.73/1.92 ============ end of search ============
% 1.73/1.92
% 1.73/1.92 -------------- statistics -------------
% 1.73/1.92 clauses given 4
% 1.73/1.92 clauses generated 72
% 1.73/1.92 clauses kept 12
% 1.73/1.92 clauses forward subsumed 63
% 1.73/1.92 clauses back subsumed 0
% 1.73/1.92 Kbytes malloced 976
% 1.73/1.92
% 1.73/1.92 ----------- times (seconds) -----------
% 1.73/1.92 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.73/1.92 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.73/1.92
% 1.73/1.92 That finishes the proof of the theorem.
% 1.73/1.92
% 1.73/1.92 Process 10588 finished Wed Jul 27 11:37:23 2022
% 1.73/1.92 Otter interrupted
% 1.73/1.92 PROOF FOUND
%------------------------------------------------------------------------------