TSTP Solution File: SWV250-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:20:17 EDT 2022
% Result : Unsatisfiable 1.65s 1.87s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 4 nHn; 7 RR)
% Number of literals : 20 ( 2 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('SWV250-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV250-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('SWV250-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('SWV250-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('SWV250-2.p',unknown),
[] ).
cnf(9,axiom,
c_Message_Oanalz(c_union(c_Message_Oanalz(A),B,tc_Message_Omsg)) = c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),
file('SWV250-2.p',unknown),
[] ).
cnf(11,axiom,
c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg),
file('SWV250-2.p',unknown),
[] ).
cnf(12,plain,
c_in(v_x,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),tc_Message_Omsg),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[7]),11,9]),
[iquote('back_demod,7,demod,11,9')] ).
cnf(17,plain,
( c_in(v_x,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg)
| c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[12,2]),
[iquote('hyper,12,2')] ).
cnf(19,plain,
( c_in(v_x,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),A,tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[17,3]),
[iquote('hyper,17,3')] ).
cnf(39,plain,
( c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),A,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_x,c_union(B,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[19,4]),
[iquote('hyper,19,4')] ).
cnf(44,plain,
c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(factor,[status(thm)],[39]),
[iquote('factor,39.1.2')] ).
cnf(45,plain,
$false,
inference(binary,[status(thm)],[44,1]),
[iquote('binary,44.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWV250-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 05:30:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.65/1.87 ----- Otter 3.3f, August 2004 -----
% 1.65/1.87 The process was started by sandbox2 on n010.cluster.edu,
% 1.65/1.87 Wed Jul 27 05:30:55 2022
% 1.65/1.87 The command was "./otter". The process ID is 4124.
% 1.65/1.87
% 1.65/1.87 set(prolog_style_variables).
% 1.65/1.87 set(auto).
% 1.65/1.87 dependent: set(auto1).
% 1.65/1.87 dependent: set(process_input).
% 1.65/1.87 dependent: clear(print_kept).
% 1.65/1.87 dependent: clear(print_new_demod).
% 1.65/1.87 dependent: clear(print_back_demod).
% 1.65/1.87 dependent: clear(print_back_sub).
% 1.65/1.87 dependent: set(control_memory).
% 1.65/1.87 dependent: assign(max_mem, 12000).
% 1.65/1.87 dependent: assign(pick_given_ratio, 4).
% 1.65/1.87 dependent: assign(stats_level, 1).
% 1.65/1.87 dependent: assign(max_seconds, 10800).
% 1.65/1.87 clear(print_given).
% 1.65/1.87
% 1.65/1.87 list(usable).
% 1.65/1.87 0 [] A=A.
% 1.65/1.87 0 [] c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg).
% 1.65/1.87 0 [] -c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 1.65/1.87 0 [] c_Message_Oanalz(c_union(c_Message_Oanalz(V_G),V_H,tc_Message_Omsg))=c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)).
% 1.65/1.87 0 [] c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg).
% 1.65/1.87 0 [] -c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)|c_in(V_c,V_A,T_a).
% 1.65/1.87 0 [] -c_in(V_c,V_A,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.65/1.87 0 [] -c_in(V_c,V_B,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.65/1.87 end_of_list.
% 1.65/1.87
% 1.65/1.87 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.65/1.87
% 1.65/1.87 This ia a non-Horn set with equality. The strategy will be
% 1.65/1.87 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.65/1.87 deletion, with positive clauses in sos and nonpositive
% 1.65/1.87 clauses in usable.
% 1.65/1.87
% 1.65/1.87 dependent: set(knuth_bendix).
% 1.65/1.87 dependent: set(anl_eq).
% 1.65/1.87 dependent: set(para_from).
% 1.65/1.87 dependent: set(para_into).
% 1.65/1.87 dependent: clear(para_from_right).
% 1.65/1.87 dependent: clear(para_into_right).
% 1.65/1.87 dependent: set(para_from_vars).
% 1.65/1.87 dependent: set(eq_units_both_ways).
% 1.65/1.87 dependent: set(dynamic_demod_all).
% 1.65/1.87 dependent: set(dynamic_demod).
% 1.65/1.87 dependent: set(order_eq).
% 1.65/1.87 dependent: set(back_demod).
% 1.65/1.87 dependent: set(lrpo).
% 1.65/1.87 dependent: set(hyper_res).
% 1.65/1.87 dependent: set(unit_deletion).
% 1.65/1.87 dependent: set(factor).
% 1.65/1.87
% 1.65/1.87 ------------> process usable:
% 1.65/1.87 ** KEPT (pick-wt=13): 1 [] -c_in(v_x,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg).
% 1.65/1.87 ** KEPT (pick-wt=15): 2 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.65/1.87 ** KEPT (pick-wt=11): 3 [] -c_in(A,B,C)|c_in(A,c_union(B,D,C),C).
% 1.65/1.87 ** KEPT (pick-wt=11): 4 [] -c_in(A,B,C)|c_in(A,c_union(D,B,C),C).
% 1.65/1.87
% 1.65/1.87 ------------> process sos:
% 1.65/1.87 ** KEPT (pick-wt=3): 6 [] A=A.
% 1.65/1.87 ** KEPT (pick-wt=10): 7 [] c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg).
% 1.65/1.87 ** KEPT (pick-wt=12): 8 [] c_Message_Oanalz(c_union(c_Message_Oanalz(A),B,tc_Message_Omsg))=c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)).
% 1.65/1.87 ---> New Demodulator: 9 [new_demod,8] c_Message_Oanalz(c_union(c_Message_Oanalz(A),B,tc_Message_Omsg))=c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)).
% 1.65/1.87 ** KEPT (pick-wt=16): 10 [] c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg).
% 1.65/1.87 ---> New Demodulator: 11 [new_demod,10] c_Message_Oanalz(c_union(c_Message_Osynth(A),B,tc_Message_Omsg))=c_union(c_Message_Oanalz(c_union(A,B,tc_Message_Omsg)),c_Message_Osynth(A),tc_Message_Omsg).
% 1.65/1.87 Following clause subsumed by 6 during input processing: 0 [copy,6,flip.1] A=A.
% 1.65/1.87 >>>> Starting back demodulation with 9.
% 1.65/1.87 >>>> Starting back demodulation with 11.
% 1.65/1.87 >> back demodulating 7 with 11.
% 1.65/1.87
% 1.65/1.87 ======= end of input processing =======
% 1.65/1.87
% 1.65/1.87 =========== start of search ===========
% 1.65/1.87
% 1.65/1.87 -------- PROOF --------
% 1.65/1.87
% 1.65/1.87 ----> UNIT CONFLICT at 0.00 sec ----> 45 [binary,44.1,1.1] $F.
% 1.65/1.87
% 1.65/1.87 Length of proof is 5. Level of proof is 5.
% 1.65/1.87
% 1.65/1.87 ---------------- PROOF ----------------
% 1.65/1.87 % SZS status Unsatisfiable
% 1.65/1.87 % SZS output start Refutation
% See solution above
% 1.65/1.87 ------------ end of proof -------------
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87
% 1.65/1.87 Search stopped by max_proofs option.
% 1.65/1.87
% 1.65/1.87 ============ end of search ============
% 1.65/1.87
% 1.65/1.87 -------------- statistics -------------
% 1.65/1.87 clauses given 10
% 1.65/1.87 clauses generated 45
% 1.65/1.87 clauses kept 39
% 1.65/1.87 clauses forward subsumed 22
% 1.65/1.87 clauses back subsumed 0
% 1.65/1.87 Kbytes malloced 1953
% 1.65/1.87
% 1.65/1.87 ----------- times (seconds) -----------
% 1.65/1.87 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.65/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.65/1.87
% 1.65/1.87 That finishes the proof of the theorem.
% 1.65/1.87
% 1.65/1.87 Process 4124 finished Wed Jul 27 05:30:56 2022
% 1.65/1.87 Otter interrupted
% 1.65/1.87 PROOF FOUND
%------------------------------------------------------------------------------