TSTP Solution File: SWV271-2 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SWV271-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n026.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 13:20:21 EDT 2022
% Result : Unsatisfiable 1.98s 2.16s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 4 unt; 8 nHn; 12 RR)
% Number of literals : 31 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('SWV271-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)
| c_in(B,c_Message_Oparts(C),tc_Message_Omsg) ),
file('SWV271-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)
| c_in(B,c_Message_Osynth(C),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg) ),
file('SWV271-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(A,B,tc_Message_Omsg)
| c_in(A,c_Message_Oparts(B),tc_Message_Omsg) ),
file('SWV271-2.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('SWV271-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('SWV271-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('SWV271-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
file('SWV271-2.p',unknown),
[] ).
cnf(12,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[9,5]),
[iquote('hyper,9,5')] ).
cnf(48,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg) ),
inference(hyper,[status(thm)],[12,3]),
[iquote('hyper,12,3')] ).
cnf(435,plain,
( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[48,4])]),
[iquote('hyper,48,4,factor_simp')] ).
cnf(439,plain,
( c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[435,2]),
[iquote('hyper,435,2')] ).
cnf(442,plain,
( c_in(v_Y,c_Message_Oparts(v_H),tc_Message_Omsg)
| c_in(v_Y,c_union(A,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[439,7]),
[iquote('hyper,439,7')] ).
cnf(478,plain,
( c_in(v_Y,c_union(A,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_Y,c_union(c_Message_Oparts(v_H),B,tc_Message_Omsg),tc_Message_Omsg) ),
inference(hyper,[status(thm)],[442,6]),
[iquote('hyper,442,6')] ).
cnf(483,plain,
c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
inference(factor,[status(thm)],[478]),
[iquote('factor,478.1.2')] ).
cnf(484,plain,
$false,
inference(binary,[status(thm)],[483,1]),
[iquote('binary,483.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV271-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jul 27 06:28:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.98/2.16 ----- Otter 3.3f, August 2004 -----
% 1.98/2.16 The process was started by sandbox2 on n026.cluster.edu,
% 1.98/2.16 Wed Jul 27 06:28:09 2022
% 1.98/2.16 The command was "./otter". The process ID is 13212.
% 1.98/2.16
% 1.98/2.16 set(prolog_style_variables).
% 1.98/2.16 set(auto).
% 1.98/2.16 dependent: set(auto1).
% 1.98/2.16 dependent: set(process_input).
% 1.98/2.16 dependent: clear(print_kept).
% 1.98/2.16 dependent: clear(print_new_demod).
% 1.98/2.16 dependent: clear(print_back_demod).
% 1.98/2.16 dependent: clear(print_back_sub).
% 1.98/2.16 dependent: set(control_memory).
% 1.98/2.16 dependent: assign(max_mem, 12000).
% 1.98/2.16 dependent: assign(pick_given_ratio, 4).
% 1.98/2.16 dependent: assign(stats_level, 1).
% 1.98/2.16 dependent: assign(max_seconds, 10800).
% 1.98/2.16 clear(print_given).
% 1.98/2.16
% 1.98/2.16 list(usable).
% 1.98/2.16 0 [] c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.98/2.16 0 [] -c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.98/2.16 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.98/2.16 0 [] -c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(V_Y,c_Message_Osynth(V_H),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(V_X,V_Y),V_H,tc_Message_Omsg).
% 1.98/2.16 0 [] -c_in(V_X,V_H,tc_Message_Omsg)|c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg).
% 1.98/2.16 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).
% 1.98/2.16 0 [] -c_in(V_c,V_A,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.98/2.16 0 [] -c_in(V_c,V_B,T_a)|c_in(V_c,c_union(V_A,V_B,T_a),T_a).
% 1.98/2.16 end_of_list.
% 1.98/2.16
% 1.98/2.16 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.98/2.16
% 1.98/2.16 This is a non-Horn set without equality. The strategy will
% 1.98/2.16 be ordered hyper_res, unit deletion, and factoring, with
% 1.98/2.16 satellites in sos and with nuclei in usable.
% 1.98/2.16
% 1.98/2.16 dependent: set(hyper_res).
% 1.98/2.16 dependent: set(factor).
% 1.98/2.16 dependent: set(unit_deletion).
% 1.98/2.16
% 1.98/2.16 ------------> process usable:
% 1.98/2.16 ** KEPT (pick-wt=9): 1 [] -c_in(v_Y,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.98/2.16 ** KEPT (pick-wt=12): 2 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Oparts(C),tc_Message_Omsg)|c_in(B,c_Message_Oparts(C),tc_Message_Omsg).
% 1.98/2.16 ** KEPT (pick-wt=18): 3 [] -c_in(c_Message_Omsg_OMPair(A,B),c_Message_Osynth(C),tc_Message_Omsg)|c_in(B,c_Message_Osynth(C),tc_Message_Omsg)|c_in(c_Message_Omsg_OMPair(A,B),C,tc_Message_Omsg).
% 1.98/2.16 ** KEPT (pick-wt=9): 4 [] -c_in(A,B,tc_Message_Omsg)|c_in(A,c_Message_Oparts(B),tc_Message_Omsg).
% 1.98/2.16 ** KEPT (pick-wt=15): 5 [] -c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D).
% 1.98/2.16 ** KEPT (pick-wt=11): 6 [] -c_in(A,B,C)|c_in(A,c_union(B,D,C),C).
% 1.98/2.16 ** KEPT (pick-wt=11): 7 [] -c_in(A,B,C)|c_in(A,c_union(D,B,C),C).
% 1.98/2.16
% 1.98/2.16 ------------> process sos:
% 1.98/2.16 ** KEPT (pick-wt=11): 9 [] c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg).
% 1.98/2.16
% 1.98/2.16 ======= end of input processing =======
% 1.98/2.16
% 1.98/2.16 =========== start of search ===========
% 1.98/2.16
% 1.98/2.16 -------- PROOF --------
% 1.98/2.16
% 1.98/2.16 ----> UNIT CONFLICT at 0.01 sec ----> 484 [binary,483.1,1.1] $F.
% 1.98/2.16
% 1.98/2.16 Length of proof is 7. Level of proof is 7.
% 1.98/2.16
% 1.98/2.16 ---------------- PROOF ----------------
% 1.98/2.16 % SZS status Unsatisfiable
% 1.98/2.16 % SZS output start Refutation
% See solution above
% 1.98/2.16 ------------ end of proof -------------
% 1.98/2.16
% 1.98/2.16
% 1.98/2.16 Search stopped by max_proofs option.
% 1.98/2.16
% 1.98/2.16
% 1.98/2.16 Search stopped by max_proofs option.
% 1.98/2.16
% 1.98/2.16 ============ end of search ============
% 1.98/2.16
% 1.98/2.16 -------------- statistics -------------
% 1.98/2.16 clauses given 132
% 1.98/2.16 clauses generated 621
% 1.98/2.16 clauses kept 483
% 1.98/2.16 clauses forward subsumed 146
% 1.98/2.16 clauses back subsumed 74
% 1.98/2.16 Kbytes malloced 2929
% 1.98/2.16
% 1.98/2.16 ----------- times (seconds) -----------
% 1.98/2.16 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.98/2.16 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.98/2.16 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.98/2.16
% 1.98/2.16 That finishes the proof of the theorem.
% 1.98/2.16
% 1.98/2.16 Process 13212 finished Wed Jul 27 06:28:11 2022
% 1.98/2.16 Otter interrupted
% 1.98/2.16 PROOF FOUND
%------------------------------------------------------------------------------