TSTP Solution File: SWV245-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n003.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 13:20:16 EDT 2022
% Result : Unsatisfiable 1.66s 1.87s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 9 unt; 7 nHn; 12 RR)
% Number of literals : 33 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 27 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV245-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)
| c_in(A,c_Message_Oanalz(C),tc_Message_Omsg) ),
file('SWV245-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)
| c_in(A,c_Message_Osynth(C),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg) ),
file('SWV245-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
file('SWV245-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('SWV245-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('SWV245-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV245-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
file('SWV245-2.p',unknown),
[] ).
cnf(10,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[9,7]),
[iquote('hyper,9,7')] ).
cnf(34,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(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)],[10,2]),
[iquote('hyper,10,2')] ).
cnf(39,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),A,tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[34,6]),
[iquote('hyper,34,6')] ).
cnf(348,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_G),tc_Message_Omsg),
inference(hyper,[status(thm)],[39,1]),
[iquote('hyper,39,1')] ).
cnf(352,plain,
( c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg) ),
inference(hyper,[status(thm)],[348,3]),
[iquote('hyper,348,3')] ).
cnf(372,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg)
| c_in(v_X,c_union(A,c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[352,5]),
[iquote('hyper,352,5')] ).
cnf(935,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_G,tc_Message_Omsg),
inference(hyper,[status(thm)],[372,1]),
[iquote('hyper,372,1')] ).
cnf(936,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(v_G,A,tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[935,6]),
[iquote('hyper,935,6')] ).
cnf(947,plain,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oanalz(c_union(v_G,A,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[936,4]),
[iquote('hyper,936,4')] ).
cnf(963,plain,
c_in(v_X,c_Message_Oanalz(c_union(v_G,A,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[947,2]),
[iquote('hyper,947,2')] ).
cnf(964,plain,
c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,A,tc_Message_Omsg)),B,tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[963,6]),
[iquote('hyper,963,6')] ).
cnf(965,plain,
$false,
inference(binary,[status(thm)],[964,1]),
[iquote('binary,964.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV245-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 06:17:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.66/1.87 ----- Otter 3.3f, August 2004 -----
% 1.66/1.87 The process was started by sandbox on n003.cluster.edu,
% 1.66/1.87 Wed Jul 27 06:17:11 2022
% 1.66/1.87 The command was "./otter". The process ID is 29742.
% 1.66/1.87
% 1.66/1.87 set(prolog_style_variables).
% 1.66/1.87 set(auto).
% 1.66/1.87 dependent: set(auto1).
% 1.66/1.87 dependent: set(process_input).
% 1.66/1.87 dependent: clear(print_kept).
% 1.66/1.87 dependent: clear(print_new_demod).
% 1.66/1.87 dependent: clear(print_back_demod).
% 1.66/1.87 dependent: clear(print_back_sub).
% 1.66/1.87 dependent: set(control_memory).
% 1.66/1.87 dependent: assign(max_mem, 12000).
% 1.66/1.87 dependent: assign(pick_given_ratio, 4).
% 1.66/1.87 dependent: assign(stats_level, 1).
% 1.66/1.87 dependent: assign(max_seconds, 10800).
% 1.66/1.87 clear(print_given).
% 1.66/1.87
% 1.66/1.87 list(usable).
% 1.66/1.87 0 [] c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.66/1.87 0 [] -c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.66/1.87 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.66/1.87 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg).
% 1.66/1.87 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.66/1.87 0 [] -c_in(V_c,V_B,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.66/1.87 0 [] -c_in(V_c,V_A,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.66/1.87 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).
% 1.66/1.87 end_of_list.
% 1.66/1.87
% 1.66/1.87 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.66/1.87
% 1.66/1.87 This is a non-Horn set without equality. The strategy will
% 1.66/1.87 be ordered hyper_res, unit deletion, and factoring, with
% 1.66/1.87 satellites in sos and with nuclei in usable.
% 1.66/1.87
% 1.66/1.87 dependent: set(hyper_res).
% 1.66/1.87 dependent: set(factor).
% 1.66/1.87 dependent: set(unit_deletion).
% 1.66/1.87
% 1.66/1.87 ------------> process usable:
% 1.66/1.87 ** KEPT (pick-wt=12): 1 [] -c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.66/1.87 ** KEPT (pick-wt=12): 2 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oanalz(C),tc_Message_Omsg)|c_in(A,c_Message_Oanalz(C),tc_Message_Omsg).
% 1.66/1.87 ** KEPT (pick-wt=18): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(A,c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg).
% 1.66/1.87 ** KEPT (pick-wt=9): 4 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 1.66/1.87 ** KEPT (pick-wt=11): 5 [] -c_in(A,B,C)|c_in(A,c_union(D,B,C),C).
% 1.66/1.87 ** KEPT (pick-wt=11): 6 [] -c_in(A,B,C)|c_in(A,c_union(B,D,C),C).
% 1.66/1.87 ** KEPT (pick-wt=15): 7 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.66/1.87
% 1.66/1.87 ------------> process sos:
% 1.66/1.87 ** KEPT (pick-wt=14): 9 [] c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg).
% 1.66/1.87
% 1.66/1.87 ======= end of input processing =======
% 1.66/1.87
% 1.66/1.87 =========== start of search ===========
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Resetting weight limit to 14.
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Resetting weight limit to 14.
% 1.66/1.87
% 1.66/1.87 sos_size=489
% 1.66/1.87
% 1.66/1.87 -------- PROOF --------
% 1.66/1.87
% 1.66/1.87 ----> UNIT CONFLICT at 0.03 sec ----> 965 [binary,964.1,1.1] $F.
% 1.66/1.87
% 1.66/1.87 Length of proof is 11. Level of proof is 11.
% 1.66/1.87
% 1.66/1.87 ---------------- PROOF ----------------
% 1.66/1.87 % SZS status Unsatisfiable
% 1.66/1.87 % SZS output start Refutation
% See solution above
% 1.66/1.87 ------------ end of proof -------------
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87
% 1.66/1.87 Search stopped by max_proofs option.
% 1.66/1.87
% 1.66/1.87 ============ end of search ============
% 1.66/1.87
% 1.66/1.87 -------------- statistics -------------
% 1.66/1.87 clauses given 337
% 1.66/1.87 clauses generated 1484
% 1.66/1.87 clauses kept 964
% 1.66/1.87 clauses forward subsumed 379
% 1.66/1.87 clauses back subsumed 238
% 1.66/1.87 Kbytes malloced 4882
% 1.66/1.87
% 1.66/1.87 ----------- times (seconds) -----------
% 1.66/1.87 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 1.66/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.66/1.87 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.66/1.87
% 1.66/1.87 That finishes the proof of the theorem.
% 1.66/1.87
% 1.66/1.87 Process 29742 finished Wed Jul 27 06:17:13 2022
% 1.66/1.87 Otter interrupted
% 1.66/1.87 PROOF FOUND
%------------------------------------------------------------------------------