TSTP Solution File: SWV244-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 1.70s 1.91s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 7 unt; 3 nHn; 7 RR)
% Number of literals : 20 ( 0 equ; 5 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 : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 7 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('SWV244-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oanalz(B),tc_Message_Omsg) ),
file('SWV244-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('SWV244-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('SWV244-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('SWV244-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
file('SWV244-2.p',unknown),
[] ).
cnf(8,plain,
( c_in(v_X,v_H,tc_Message_Omsg)
| c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[7,5]),
[iquote('hyper,7,5')] ).
cnf(16,plain,
( c_in(v_X,v_H,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)],[8,3]),
[iquote('hyper,8,3')] ).
cnf(95,plain,
c_in(v_X,v_H,tc_Message_Omsg),
inference(hyper,[status(thm)],[16,1]),
[iquote('hyper,16,1')] ).
cnf(97,plain,
c_in(v_X,c_union(A,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[95,3]),
[iquote('hyper,95,3')] ).
cnf(113,plain,
c_in(v_X,c_Message_Oanalz(c_union(A,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(hyper,[status(thm)],[97,2]),
[iquote('hyper,97,2')] ).
cnf(129,plain,
c_in(v_X,c_union(c_Message_Oanalz(c_union(A,v_H,tc_Message_Omsg)),B,tc_Message_Omsg),tc_Message_Omsg),
inference(hyper,[status(thm)],[113,4]),
[iquote('hyper,113,4')] ).
cnf(130,plain,
$false,
inference(binary,[status(thm)],[129,1]),
[iquote('binary,129.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 06:20:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox2 on n029.cluster.edu,
% 1.70/1.91 Wed Jul 27 06:20:29 2022
% 1.70/1.91 The command was "./otter". The process ID is 10263.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg).
% 1.70/1.91 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).
% 1.70/1.91 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg).
% 1.70/1.91 0 [] -c_in(V_c,V_B,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.70/1.91 0 [] -c_in(V_c,V_A,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.70/1.91 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).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.70/1.91
% 1.70/1.91 This is a non-Horn set without equality. The strategy will
% 1.70/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.91 satellites in sos and with nuclei in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: set(factor).
% 1.70/1.91 dependent: set(unit_deletion).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** 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).
% 1.70/1.91 ** KEPT (pick-wt=9): 2 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oanalz(B),tc_Message_Omsg).
% 1.70/1.91 ** KEPT (pick-wt=11): 3 [] -c_in(A,B,C)|c_in(A,c_union(D,B,C),C).
% 1.70/1.91 ** KEPT (pick-wt=11): 4 [] -c_in(A,B,C)|c_in(A,c_union(B,D,C),C).
% 1.70/1.91 ** KEPT (pick-wt=15): 5 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.70/1.91
% 1.70/1.91 ------------> process sos:
% 1.70/1.91 ** KEPT (pick-wt=8): 7 [] c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg).
% 1.70/1.91
% 1.70/1.91 ======= end of input processing =======
% 1.70/1.91
% 1.70/1.91 =========== start of search ===========
% 1.70/1.91
% 1.70/1.91 -------- PROOF --------
% 1.70/1.91
% 1.70/1.91 ----> UNIT CONFLICT at 0.00 sec ----> 130 [binary,129.1,1.1] $F.
% 1.70/1.91
% 1.70/1.91 Length of proof is 6. Level of proof is 6.
% 1.70/1.91
% 1.70/1.91 ---------------- PROOF ----------------
% 1.70/1.91 % SZS status Unsatisfiable
% 1.70/1.91 % SZS output start Refutation
% See solution above
% 1.70/1.91 ------------ end of proof -------------
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91
% 1.70/1.91 Search stopped by max_proofs option.
% 1.70/1.91
% 1.70/1.91 ============ end of search ============
% 1.70/1.91
% 1.70/1.91 -------------- statistics -------------
% 1.70/1.91 clauses given 34
% 1.70/1.91 clauses generated 164
% 1.70/1.91 clauses kept 129
% 1.70/1.91 clauses forward subsumed 41
% 1.70/1.91 clauses back subsumed 61
% 1.70/1.91 Kbytes malloced 976
% 1.70/1.91
% 1.70/1.91 ----------- times (seconds) -----------
% 1.70/1.91 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.70/1.91 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.70/1.91
% 1.70/1.91 That finishes the proof of the theorem.
% 1.70/1.91
% 1.70/1.91 Process 10263 finished Wed Jul 27 06:20:31 2022
% 1.70/1.91 Otter interrupted
% 1.70/1.91 PROOF FOUND
%------------------------------------------------------------------------------