%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n006.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 1.91s 2.11s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 10 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
response(a,A) != response(odd_bird,A),
file('COL052-1.p',unknown),
[] ).
cnf(2,plain,
response(odd_bird,A) != response(a,A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(4,axiom,
response(compose(A,B),C) = response(A,response(B,C)),
file('COL052-1.p',unknown),
[] ).
cnf(6,axiom,
response(c,common_bird(A)) = response(A,common_bird(A)),
file('COL052-1.p',unknown),
[] ).
cnf(7,axiom,
c = compose(a,b),
file('COL052-1.p',unknown),
[] ).
cnf(8,plain,
compose(a,b) = c,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,flip.1')] ).
cnf(10,plain,
response(A,common_bird(A)) = response(c,common_bird(A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[6])]),
[iquote('copy,6,flip.1')] ).
cnf(13,plain,
response(c,A) = response(a,response(b,A)),
inference(para_into,[status(thm),theory(equality)],[4,8]),
[iquote('para_into,4.1.1.1,8.1.1')] ).
cnf(14,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)],[4,10]),13]),
[iquote('para_into,4.1.1,10.1.1,demod,13')] ).
cnf(18,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)],[14])]),
[iquote('copy,14,flip.1')] ).
cnf(19,plain,
$false,
inference(binary,[status(thm)],[18,2]),
[iquote('binary,18.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n006.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 02:21:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.91/2.11 ----- Otter 3.3f, August 2004 -----
% 1.91/2.11 The process was started by sandbox on n006.cluster.edu,
% 1.91/2.11 Wed Jul 27 02:21:02 2022
% 1.91/2.11 The command was "./otter". The process ID is 14423.
% 1.91/2.11
% 1.91/2.11 set(prolog_style_variables).
% 1.91/2.11 set(auto).
% 1.91/2.11 dependent: set(auto1).
% 1.91/2.11 dependent: set(process_input).
% 1.91/2.11 dependent: clear(print_kept).
% 1.91/2.11 dependent: clear(print_new_demod).
% 1.91/2.11 dependent: clear(print_back_demod).
% 1.91/2.11 dependent: clear(print_back_sub).
% 1.91/2.11 dependent: set(control_memory).
% 1.91/2.11 dependent: assign(max_mem, 12000).
% 1.91/2.11 dependent: assign(pick_given_ratio, 4).
% 1.91/2.11 dependent: assign(stats_level, 1).
% 1.91/2.11 dependent: assign(max_seconds, 10800).
% 1.91/2.11 clear(print_given).
% 1.91/2.11
% 1.91/2.11 list(usable).
% 1.91/2.11 0 [] A=A.
% 1.91/2.11 0 [] response(compose(X,Y),W)=response(X,response(Y,W)).
% 1.91/2.11 0 [] response(c,common_bird(X))=response(X,common_bird(X)).
% 1.91/2.11 0 [] response(a,V)!=response(odd_bird,V).
% 1.91/2.11 0 [] c=compose(a,b).
% 1.91/2.11 end_of_list.
% 1.91/2.11
% 1.91/2.11 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.91/2.11
% 1.91/2.11 All clauses are units, and equality is present; the
% 1.91/2.11 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.91/2.11
% 1.91/2.11 dependent: set(knuth_bendix).
% 1.91/2.11 dependent: set(anl_eq).
% 1.91/2.11 dependent: set(para_from).
% 1.91/2.11 dependent: set(para_into).
% 1.91/2.11 dependent: clear(para_from_right).
% 1.91/2.11 dependent: clear(para_into_right).
% 1.91/2.11 dependent: set(para_from_vars).
% 1.91/2.11 dependent: set(eq_units_both_ways).
% 1.91/2.11 dependent: set(dynamic_demod_all).
% 1.91/2.11 dependent: set(dynamic_demod).
% 1.91/2.11 dependent: set(order_eq).
% 1.91/2.11 dependent: set(back_demod).
% 1.91/2.11 dependent: set(lrpo).
% 1.91/2.11
% 1.91/2.11 ------------> process usable:
% 1.91/2.11 ** KEPT (pick-wt=7): 2 [copy,1,flip.1] response(odd_bird,A)!=response(a,A).
% 1.91/2.11
% 1.91/2.11 ------------> process sos:
% 1.91/2.11 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.91/2.11 ** KEPT (pick-wt=11): 4 [] response(compose(A,B),C)=response(A,response(B,C)).
% 1.91/2.11 ---> New Demodulator: 5 [new_demod,4] response(compose(A,B),C)=response(A,response(B,C)).
% 1.91/2.11 ** KEPT (pick-wt=9): 6 [] response(c,common_bird(A))=response(A,common_bird(A)).
% 1.91/2.11 ** KEPT (pick-wt=5): 8 [copy,7,flip.1] compose(a,b)=c.
% 1.91/2.11 ---> New Demodulator: 9 [new_demod,8] compose(a,b)=c.
% 1.91/2.11 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.91/2.11 >>>> Starting back demodulation with 5.
% 1.91/2.11 ** KEPT (pick-wt=9): 10 [copy,6,flip.1] response(A,common_bird(A))=response(c,common_bird(A)).
% 1.91/2.11 >>>> Starting back demodulation with 9.
% 1.91/2.11 Following clause subsumed by 6 during input processing: 0 [copy,10,flip.1] response(c,common_bird(A))=response(A,common_bird(A)).
% 1.91/2.11
% 1.91/2.11 ======= end of input processing =======
% 1.91/2.11
% 1.91/2.11 =========== start of search ===========
% 1.91/2.11
% 1.91/2.11 -------- PROOF --------
% 1.91/2.11
% 1.91/2.11 ----> UNIT CONFLICT at 0.00 sec ----> 19 [binary,18.1,2.1] $F.
% 1.91/2.11
% 1.91/2.11 Length of proof is 6. Level of proof is 4.
% 1.91/2.11
% 1.91/2.11 ---------------- PROOF ----------------
% 1.91/2.11 % SZS status Unsatisfiable
% 1.91/2.11 % SZS output start Refutation
% See solution above
% 1.91/2.11 ------------ end of proof -------------
% 1.91/2.11
% 1.91/2.11
% 1.91/2.11 Search stopped by max_proofs option.
% 1.91/2.11
% 1.91/2.11
% 1.91/2.11 Search stopped by max_proofs option.
% 1.91/2.11
% 1.91/2.11 ============ end of search ============
% 1.91/2.11
% 1.91/2.11 -------------- statistics -------------
% 1.91/2.11 clauses given 6
% 1.91/2.11 clauses generated 13
% 1.91/2.11 clauses kept 13
% 1.91/2.11 clauses forward subsumed 12
% 1.91/2.11 clauses back subsumed 0
% 1.91/2.11 Kbytes malloced 976
% 1.91/2.11
% 1.91/2.11 ----------- times (seconds) -----------
% 1.91/2.11 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.11 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.91/2.11 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.91/2.11
% 1.91/2.11 That finishes the proof of the theorem.
% 1.91/2.11
% 1.91/2.11 Process 14423 finished Wed Jul 27 02:21:03 2022
% 1.91/2.11 Otter interrupted
% 1.91/2.11 PROOF FOUND
%------------------------------------------------------------------------------