TSTP Solution File: LCL446-2 by Otter---3.3
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%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% 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 13:04:28 EDT 2022
% Result : Unsatisfiable 1.94s 2.12s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 10 unt; 0 nHn; 3 RR)
% Number of literals : 13 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 46 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('LCL446-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(A,D,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C))
| c_in(D,c_PropLog_Othms(B,C),tc_PropLog_Opl(C)) ),
file('LCL446-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,A,C),C),c_PropLog_Othms(D,C),tc_PropLog_Opl(C)),
file('LCL446-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,C,D),D),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,D),c_PropLog_Opl_Oop_A_N_62(A,C,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)),
file('LCL446-2.p',unknown),
[] ).
cnf(5,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(C,B,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)),
inference(hyper,[status(thm)],[3,2,3]),
[iquote('hyper,3,2,3')] ).
cnf(6,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(C,c_PropLog_Opl_Oop_A_N_62(D,C,E),E),E),E),c_PropLog_Othms(F,E),tc_PropLog_Opl(E)),
inference(hyper,[status(thm)],[5,2,3]),
[iquote('hyper,5,2,3')] ).
cnf(7,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(C,c_PropLog_Opl_Oop_A_N_62(D,c_PropLog_Opl_Oop_A_N_62(E,D,F),F),F),F),F),c_PropLog_Othms(G,F),tc_PropLog_Opl(F)),
inference(hyper,[status(thm)],[6,2,3]),
[iquote('hyper,6,2,3')] ).
cnf(8,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(C,c_PropLog_Opl_Oop_A_N_62(D,c_PropLog_Opl_Oop_A_N_62(E,c_PropLog_Opl_Oop_A_N_62(F,E,G),G),G),G),G),G),c_PropLog_Othms(H,G),tc_PropLog_Opl(G)),
inference(hyper,[status(thm)],[7,2,3]),
[iquote('hyper,7,2,3')] ).
cnf(11,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Opl_Oop_A_N_62(A,A,C),C),c_PropLog_Othms(D,C),tc_PropLog_Opl(C)),
inference(hyper,[status(thm)],[4,2,3]),
[iquote('hyper,4,2,3')] ).
cnf(15,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(A,A,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B)),
inference(hyper,[status(thm)],[11,2,8]),
[iquote('hyper,11,2,8')] ).
cnf(16,plain,
$false,
inference(binary,[status(thm)],[15,1]),
[iquote('binary,15.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL446-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % 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 09:26:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.94/2.12 ----- Otter 3.3f, August 2004 -----
% 1.94/2.12 The process was started by sandbox on n006.cluster.edu,
% 1.94/2.12 Wed Jul 27 09:26:47 2022
% 1.94/2.12 The command was "./otter". The process ID is 23133.
% 1.94/2.12
% 1.94/2.12 set(prolog_style_variables).
% 1.94/2.12 set(auto).
% 1.94/2.12 dependent: set(auto1).
% 1.94/2.12 dependent: set(process_input).
% 1.94/2.12 dependent: clear(print_kept).
% 1.94/2.12 dependent: clear(print_new_demod).
% 1.94/2.12 dependent: clear(print_back_demod).
% 1.94/2.12 dependent: clear(print_back_sub).
% 1.94/2.12 dependent: set(control_memory).
% 1.94/2.12 dependent: assign(max_mem, 12000).
% 1.94/2.12 dependent: assign(pick_given_ratio, 4).
% 1.94/2.12 dependent: assign(stats_level, 1).
% 1.94/2.12 dependent: assign(max_seconds, 10800).
% 1.94/2.12 clear(print_given).
% 1.94/2.12
% 1.94/2.12 list(usable).
% 1.94/2.12 0 [] -c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)).
% 1.94/2.12 0 [] c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_p,T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.94/2.12 0 [] -c_in(V_p,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))| -c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))|c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.94/2.12 0 [] c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,T_a),T_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,T_a),T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)).
% 1.94/2.12 end_of_list.
% 1.94/2.12
% 1.94/2.12 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.94/2.12
% 1.94/2.12 This is a Horn set without equality. The strategy will
% 1.94/2.12 be hyperresolution, with satellites in sos and nuclei
% 1.94/2.12 in usable.
% 1.94/2.12
% 1.94/2.12 dependent: set(hyper_res).
% 1.94/2.12 dependent: clear(order_hyper).
% 1.94/2.12
% 1.94/2.12 ------------> process usable:
% 1.94/2.12 ** KEPT (pick-wt=10): 1 [] -c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)).
% 1.94/2.12 ** KEPT (pick-wt=24): 2 [] -c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C))| -c_in(c_PropLog_Opl_Oop_A_N_62(A,D,C),c_PropLog_Othms(B,C),tc_PropLog_Opl(C))|c_in(D,c_PropLog_Othms(B,C),tc_PropLog_Opl(C)).
% 1.94/2.12
% 1.94/2.12 ------------> process sos:
% 1.94/2.12 ** KEPT (pick-wt=13): 3 [] c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,A,C),C),c_PropLog_Othms(D,C),tc_PropLog_Opl(C)).
% 1.94/2.12 ** KEPT (pick-wt=25): 4 [] c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,C,D),D),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,D),c_PropLog_Opl_Oop_A_N_62(A,C,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)).
% 1.94/2.12
% 1.94/2.12 ======= end of input processing =======
% 1.94/2.12
% 1.94/2.12 =========== start of search ===========
% 1.94/2.12
% 1.94/2.12 -------- PROOF --------
% 1.94/2.12
% 1.94/2.12 ----> UNIT CONFLICT at 0.00 sec ----> 16 [binary,15.1,1.1] $F.
% 1.94/2.12
% 1.94/2.12 Length of proof is 6. Level of proof is 5.
% 1.94/2.12
% 1.94/2.12 ---------------- PROOF ----------------
% 1.94/2.12 % SZS status Unsatisfiable
% 1.94/2.12 % SZS output start Refutation
% See solution above
% 1.94/2.12 ------------ end of proof -------------
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Search stopped by max_proofs option.
% 1.94/2.12
% 1.94/2.12
% 1.94/2.12 Search stopped by max_proofs option.
% 1.94/2.12
% 1.94/2.12 ============ end of search ============
% 1.94/2.12
% 1.94/2.12 -------------- statistics -------------
% 1.94/2.12 clauses given 7
% 1.94/2.12 clauses generated 44
% 1.94/2.12 clauses kept 15
% 1.94/2.12 clauses forward subsumed 33
% 1.94/2.12 clauses back subsumed 0
% 1.94/2.12 Kbytes malloced 976
% 1.94/2.12
% 1.94/2.12 ----------- times (seconds) -----------
% 1.94/2.12 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.12 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.94/2.12 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.94/2.12
% 1.94/2.12 That finishes the proof of the theorem.
% 1.94/2.12
% 1.94/2.12 Process 23133 finished Wed Jul 27 09:26:48 2022
% 1.94/2.12 Otter interrupted
% 1.94/2.12 PROOF FOUND
%------------------------------------------------------------------------------