TSTP Solution File: COL052-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 12:48:05 EDT 2022
% Result : Unsatisfiable 1.72s 1.90s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 11 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ agreeable(A)
| response(A,common_bird(B)) = response(B,common_bird(B)) ),
file('COL052-2.p',unknown),
[] ).
cnf(2,axiom,
( response(A,B) != response(compatible(A),B)
| agreeable(A) ),
file('COL052-2.p',unknown),
[] ).
cnf(3,plain,
( response(compatible(A),B) != response(A,B)
| agreeable(A) ),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,flip.1')] ).
cnf(4,axiom,
~ agreeable(a),
file('COL052-2.p',unknown),
[] ).
cnf(6,axiom,
response(compose(A,B),C) = response(A,response(B,C)),
file('COL052-2.p',unknown),
[] ).
cnf(8,axiom,
agreeable(c),
file('COL052-2.p',unknown),
[] ).
cnf(9,axiom,
c = compose(a,b),
file('COL052-2.p',unknown),
[] ).
cnf(10,plain,
compose(a,b) = c,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[9])]),
[iquote('copy,9,flip.1')] ).
cnf(12,plain,
response(c,common_bird(A)) = response(A,common_bird(A)),
inference(hyper,[status(thm)],[8,1]),
[iquote('hyper,8,1')] ).
cnf(13,plain,
response(A,common_bird(A)) = response(c,common_bird(A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,flip.1')] ).
cnf(16,plain,
response(c,A) = response(a,response(b,A)),
inference(para_into,[status(thm),theory(equality)],[6,10]),
[iquote('para_into,6.1.1.1,10.1.1')] ).
cnf(17,plain,
response(a,response(b,common_bird(compose(A,B)))) = response(A,response(B,common_bird(compose(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[6,13]),16]),
[iquote('para_into,6.1.1,13.1.1,demod,16')] ).
cnf(22,plain,
response(A,response(B,common_bird(compose(A,B)))) = response(a,response(b,common_bird(compose(A,B)))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[17])]),
[iquote('copy,17,flip.1')] ).
cnf(50,plain,
agreeable(a),
inference(hyper,[status(thm)],[22,3]),
[iquote('hyper,22,3')] ).
cnf(51,plain,
$false,
inference(binary,[status(thm)],[50,4]),
[iquote('binary,50.1,4.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : otter-tptp-script %s
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Jul 27 02:21:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.72/1.90 ----- Otter 3.3f, August 2004 -----
% 1.72/1.90 The process was started by sandbox on n009.cluster.edu,
% 1.72/1.90 Wed Jul 27 02:21:51 2022
% 1.72/1.90 The command was "./otter". The process ID is 26528.
% 1.72/1.90
% 1.72/1.90 set(prolog_style_variables).
% 1.72/1.90 set(auto).
% 1.72/1.90 dependent: set(auto1).
% 1.72/1.90 dependent: set(process_input).
% 1.72/1.90 dependent: clear(print_kept).
% 1.72/1.90 dependent: clear(print_new_demod).
% 1.72/1.90 dependent: clear(print_back_demod).
% 1.72/1.90 dependent: clear(print_back_sub).
% 1.72/1.90 dependent: set(control_memory).
% 1.72/1.90 dependent: assign(max_mem, 12000).
% 1.72/1.90 dependent: assign(pick_given_ratio, 4).
% 1.72/1.90 dependent: assign(stats_level, 1).
% 1.72/1.90 dependent: assign(max_seconds, 10800).
% 1.72/1.90 clear(print_given).
% 1.72/1.90
% 1.72/1.90 list(usable).
% 1.72/1.90 0 [] A=A.
% 1.72/1.90 0 [] response(compose(X,Y),W)=response(X,response(Y,W)).
% 1.72/1.90 0 [] -agreeable(X)|response(X,common_bird(Y))=response(Y,common_bird(Y)).
% 1.72/1.90 0 [] response(X,Z)!=response(compatible(X),Z)|agreeable(X).
% 1.72/1.90 0 [] agreeable(c).
% 1.72/1.90 0 [] -agreeable(a).
% 1.72/1.90 0 [] c=compose(a,b).
% 1.72/1.90 end_of_list.
% 1.72/1.90
% 1.72/1.90 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=2.
% 1.72/1.90
% 1.72/1.90 This is a Horn set with equality. The strategy will be
% 1.72/1.90 Knuth-Bendix and hyper_res, with positive clauses in
% 1.72/1.90 sos and nonpositive clauses in usable.
% 1.72/1.90
% 1.72/1.90 dependent: set(knuth_bendix).
% 1.72/1.90 dependent: set(anl_eq).
% 1.72/1.90 dependent: set(para_from).
% 1.72/1.90 dependent: set(para_into).
% 1.72/1.90 dependent: clear(para_from_right).
% 1.72/1.90 dependent: clear(para_into_right).
% 1.72/1.90 dependent: set(para_from_vars).
% 1.72/1.90 dependent: set(eq_units_both_ways).
% 1.72/1.90 dependent: set(dynamic_demod_all).
% 1.72/1.90 dependent: set(dynamic_demod).
% 1.72/1.90 dependent: set(order_eq).
% 1.72/1.90 dependent: set(back_demod).
% 1.72/1.90 dependent: set(lrpo).
% 1.72/1.90 dependent: set(hyper_res).
% 1.72/1.90 dependent: clear(order_hyper).
% 1.72/1.90
% 1.72/1.90 ------------> process usable:
% 1.72/1.90 ** KEPT (pick-wt=11): 1 [] -agreeable(A)|response(A,common_bird(B))=response(B,common_bird(B)).
% 1.72/1.90 ** KEPT (pick-wt=10): 3 [copy,2,flip.1] response(compatible(A),B)!=response(A,B)|agreeable(A).
% 1.72/1.90 ** KEPT (pick-wt=2): 4 [] -agreeable(a).
% 1.72/1.90
% 1.72/1.90 ------------> process sos:
% 1.72/1.90 ** KEPT (pick-wt=3): 5 [] A=A.
% 1.72/1.90 ** KEPT (pick-wt=11): 6 [] response(compose(A,B),C)=response(A,response(B,C)).
% 1.72/1.90 ---> New Demodulator: 7 [new_demod,6] response(compose(A,B),C)=response(A,response(B,C)).
% 1.72/1.90 ** KEPT (pick-wt=2): 8 [] agreeable(c).
% 1.72/1.90 ** KEPT (pick-wt=5): 10 [copy,9,flip.1] compose(a,b)=c.
% 1.72/1.90 ---> New Demodulator: 11 [new_demod,10] compose(a,b)=c.
% 1.72/1.90 Following clause subsumed by 5 during input processing: 0 [copy,5,flip.1] A=A.
% 1.72/1.90 >>>> Starting back demodulation with 7.
% 1.72/1.90 >>>> Starting back demodulation with 11.
% 1.72/1.90
% 1.72/1.90 ======= end of input processing =======
% 1.72/1.90
% 1.72/1.90 =========== start of search ===========
% 1.72/1.90
% 1.72/1.90 -------- PROOF --------
% 1.72/1.90
% 1.72/1.90 ----> UNIT CONFLICT at 0.00 sec ----> 51 [binary,50.1,4.1] $F.
% 1.72/1.90
% 1.72/1.90 Length of proof is 8. Level of proof is 5.
% 1.72/1.90
% 1.72/1.90 ---------------- PROOF ----------------
% 1.72/1.90 % SZS status Unsatisfiable
% 1.72/1.90 % SZS output start Refutation
% See solution above
% 1.72/1.90 ------------ end of proof -------------
% 1.72/1.90
% 1.72/1.90
% 1.72/1.90 Search stopped by max_proofs option.
% 1.72/1.90
% 1.72/1.90
% 1.72/1.90 Search stopped by max_proofs option.
% 1.72/1.90
% 1.72/1.90 ============ end of search ============
% 1.72/1.90
% 1.72/1.90 -------------- statistics -------------
% 1.72/1.90 clauses given 16
% 1.72/1.90 clauses generated 97
% 1.72/1.90 clauses kept 44
% 1.72/1.90 clauses forward subsumed 70
% 1.72/1.90 clauses back subsumed 0
% 1.72/1.90 Kbytes malloced 976
% 1.72/1.90
% 1.72/1.90 ----------- times (seconds) -----------
% 1.72/1.90 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.90 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.72/1.90 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.72/1.90
% 1.72/1.90 That finishes the proof of the theorem.
% 1.72/1.90
% 1.72/1.90 Process 26528 finished Wed Jul 27 02:21:52 2022
% 1.72/1.90 Otter interrupted
% 1.72/1.90 PROOF FOUND
%------------------------------------------------------------------------------