TSTP Solution File: LCL444-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL444-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n015.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  : 600s
% DateTime : Sun Jul 17 13:46:50 EDT 2022

% Result   : Unsatisfiable 7.41s 7.69s
% Output   : Refutation 7.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL444-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n015.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  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 15:38:00 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.71/2.04  ============================== Prover9 ===============================
% 1.71/2.04  Prover9 (32) version 2009-11A, November 2009.
% 1.71/2.04  Process 26371 was started by sandbox2 on n015.cluster.edu,
% 1.71/2.04  Sun Jul  3 15:38:01 2022
% 1.71/2.04  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26218_n015.cluster.edu".
% 1.71/2.04  ============================== end of head ===========================
% 1.71/2.04  
% 1.71/2.04  ============================== INPUT =================================
% 1.71/2.04  
% 1.71/2.04  % Reading from file /tmp/Prover9_26218_n015.cluster.edu
% 1.71/2.04  
% 1.71/2.04  set(prolog_style_variables).
% 1.71/2.04  set(auto2).
% 1.71/2.04      % set(auto2) -> set(auto).
% 1.71/2.04      % set(auto) -> set(auto_inference).
% 1.71/2.04      % set(auto) -> set(auto_setup).
% 1.71/2.04      % set(auto_setup) -> set(predicate_elim).
% 1.71/2.04      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.71/2.04      % set(auto) -> set(auto_limits).
% 1.71/2.04      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.71/2.04      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.71/2.04      % set(auto) -> set(auto_denials).
% 1.71/2.04      % set(auto) -> set(auto_process).
% 1.71/2.04      % set(auto2) -> assign(new_constants, 1).
% 1.71/2.04      % set(auto2) -> assign(fold_denial_max, 3).
% 1.71/2.04      % set(auto2) -> assign(max_weight, "200.000").
% 1.71/2.04      % set(auto2) -> assign(max_hours, 1).
% 1.71/2.04      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.71/2.04      % set(auto2) -> assign(max_seconds, 0).
% 1.71/2.04      % set(auto2) -> assign(max_minutes, 5).
% 1.71/2.04      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.71/2.04      % set(auto2) -> set(sort_initial_sos).
% 1.71/2.04      % set(auto2) -> assign(sos_limit, -1).
% 1.71/2.04      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.71/2.04      % set(auto2) -> assign(max_megs, 400).
% 1.71/2.04      % set(auto2) -> assign(stats, some).
% 1.71/2.04      % set(auto2) -> clear(echo_input).
% 1.71/2.04      % set(auto2) -> set(quiet).
% 1.71/2.04      % set(auto2) -> clear(print_initial_clauses).
% 1.71/2.04      % set(auto2) -> clear(print_given).
% 1.71/2.04  assign(lrs_ticks,-1).
% 1.71/2.04  assign(sos_limit,10000).
% 1.71/2.04  assign(order,kbo).
% 1.71/2.04  set(lex_order_vars).
% 1.71/2.04  clear(print_given).
% 1.71/2.04  
% 1.71/2.04  % formulas(sos).  % not echoed (7 formulas)
% 1.71/2.04  
% 1.71/2.04  ============================== end of input ==========================
% 1.71/2.04  
% 1.71/2.04  % From the command line: assign(max_seconds, 300).
% 1.71/2.04  
% 1.71/2.04  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.71/2.04  
% 1.71/2.04  % Formulas that are not ordinary clauses:
% 1.71/2.04  
% 1.71/2.04  ============================== end of process non-clausal formulas ===
% 1.71/2.04  
% 1.71/2.04  ============================== PROCESS INITIAL CLAUSES ===============
% 1.71/2.04  
% 1.71/2.04  ============================== PREDICATE ELIMINATION =================
% 1.71/2.04  
% 1.71/2.04  ============================== end predicate elimination =============
% 1.71/2.04  
% 1.71/2.04  Auto_denials:
% 1.71/2.04    % copying label cls_conjecture_0 to answer in negative clause
% 1.71/2.04  
% 1.71/2.04  Term ordering decisions:
% 1.71/2.04  
% 1.71/2.04  % Assigning unary symbol tc_PropLog_Opl kb_weight 0 and highest precedence (10).
% 1.71/2.04  Function symbol KB weights:  c_PropLog_Opl_Ofalse=1. t_a=1. v_H=1. v_p=1. v_q=1. c_PropLog_Othms=1. c_PropLog_Opl_Oop_A_N_62=1. c_insert=1. tc_PropLog_Opl=0.
% 1.71/2.04  
% 1.71/2.04  ============================== end of process initial clauses ========
% 1.71/2.04  
% 1.71/2.04  ============================== CLAUSES FOR SEARCH ====================
% 1.71/2.04  
% 1.71/2.04  ============================== end of clauses for search =============
% 1.71/2.04  
% 1.71/2.04  ============================== SEARCH ================================
% 1.71/2.04  
% 1.71/2.04  % Starting search at 0.01 seconds.
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=47.000, iters=3404
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=45.000, iters=3337
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=44.000, iters=3441
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=42.000, iters=3370
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=41.000, iters=3339
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=39.000, iters=3358
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=38.000, iters=3339
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=37.000, iters=3433
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=36.000, iters=3439
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=35.000, iters=3351
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=33.000, iters=3345
% 1.71/2.04  
% 1.71/2.04  Low Water (keep): wt=32.000, iters=3335
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=2977, wt=81.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3567, wt=80.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3008, wt=78.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3528, wt=77.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3213, wt=75.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3566, wt=74.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3244, wt=72.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=3527, wt=71.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=4925, wt=69.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=4904, wt=68.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=4964, wt=66.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=4957, wt=65.000
% 1.71/2.04  
% 1.71/2.04  Low Water (displace): id=4967, wt=63.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=3790, wt=62.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=3842, wt=60.000
% 7.41/7.69  
% 7.41/7.69  Low Water (keep): wt=31.000, iters=3345
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=3836, wt=59.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=3845, wt=57.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=4189, wt=56.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=5477, wt=54.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=10501, wt=28.000
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=10835, wt=25.000
% 7.41/7.69  
% 7.41/7.69  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 180 (0.00 of 1.46 sec).
% 7.41/7.69  
% 7.41/7.69  Low Water (keep): wt=30.000, iters=3338
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=15044, wt=24.000
% 7.41/7.69  
% 7.41/7.69  Low Water (keep): wt=29.000, iters=3341
% 7.41/7.69  
% 7.41/7.69  Low Water (displace): id=16547, wt=23.000
% 7.41/7.69  
% 7.41/7.69  Low Water (keep): wt=28.000, iters=3333
% 7.41/7.69  
% 7.41/7.69  ============================== PROOF =================================
% 7.41/7.69  % SZS status Unsatisfiable
% 7.41/7.69  % SZS output start Refutation
% 7.41/7.69  
% 7.41/7.69  % Proof 1 at 6.14 (+ 0.56) seconds: cls_conjecture_0.
% 7.41/7.69  % Length of proof is 53.
% 7.41/7.69  % Level of proof is 25.
% 7.41/7.69  % Maximum clause weight is 25.000.
% 7.41/7.69  % Given clauses 1562.
% 7.41/7.69  
% 7.41/7.69  1 c_in(A,c_insert(A,B,C),C) # label(cls_Set_OinsertCI_1) # label(axiom).  [assumption].
% 7.41/7.69  2 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Ofalse,B),c_PropLog_Opl_Ofalse,B),A,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B)) # label(cls_PropLog_Othms_ODN_0) # label(axiom).  [assumption].
% 7.41/7.69  3 -c_in(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(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) # label(cls_conjecture_0) # label(negated_conjecture) # answer(cls_conjecture_0).  [assumption].
% 7.41/7.69  4 -c_in(A,B,C) | c_in(A,c_insert(D,B,C),C) # label(cls_Set_OinsertCI_0) # label(axiom).  [assumption].
% 7.41/7.69  5 -c_in(A,B,tc_PropLog_Opl(C)) | c_in(A,c_PropLog_Othms(B,C),tc_PropLog_Opl(C)) # label(cls_PropLog_Othms_OH_0) # label(axiom).  [assumption].
% 7.41/7.69  6 -c_in(A,c_PropLog_Othms(c_insert(B,C,tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)) | c_in(c_PropLog_Opl_Oop_A_N_62(B,A,D),c_PropLog_Othms(C,D),tc_PropLog_Opl(D)) # label(cls_PropLog_Odeduction_0) # label(axiom).  [assumption].
% 7.41/7.69  7 -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)) # label(cls_PropLog_Othms_OMP_0) # label(axiom).  [assumption].
% 7.41/7.69  9 c_in(A,c_insert(B,c_insert(A,C,D),D),D).  [hyper(4,a,1,a)].
% 7.41/7.69  10 c_in(A,c_PropLog_Othms(c_insert(A,B,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(5,a,1,a)].
% 7.41/7.69  14 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(A,C,tc_PropLog_Opl(D)),tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(5,a,9,a)].
% 7.41/7.69  15 c_in(A,c_insert(B,c_insert(C,c_insert(A,D,E),E),E),E).  [hyper(4,a,9,a)].
% 7.41/7.69  30 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(C,c_insert(A,D,tc_PropLog_Opl(E)),tc_PropLog_Opl(E)),tc_PropLog_Opl(E)),E),tc_PropLog_Opl(E)).  [hyper(5,a,15,a)].
% 7.41/7.69  47 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(c_PropLog_Opl_Oop_A_N_62(B,A,C),D,tc_PropLog_Opl(C)),tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,10,a,b,14,a)].
% 7.41/7.69  49 c_in(A,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(B,A,C),c_insert(B,D,tc_PropLog_Opl(C)),tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,14,a,b,10,a)].
% 7.41/7.69  51 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(B,D,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,14,a)].
% 7.41/7.69  54 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(C,B,D),A,D),E,tc_PropLog_Opl(D)),tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(7,a,51,a,b,14,a)].
% 7.41/7.69  55 c_in(A,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ofalse,B,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,51,a,b,2,a)].
% 7.41/7.69  59 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,A,B),c_PropLog_Othms(C,B),tc_PropLog_Opl(B)).  [hyper(6,a,55,a)].
% 7.41/7.69  520 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(C,A,D),D),c_insert(C,E,tc_PropLog_Opl(D)),tc_PropLog_Opl(D)),tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(7,a,30,a,b,47,a)].
% 7.41/7.69  535 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Ofalse,C),D,tc_PropLog_Opl(C)),tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,47,a,b,59,a)].
% 7.41/7.69  596 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),B,C),c_PropLog_Othms(c_insert(A,D,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,49,a)].
% 7.41/7.69  603 c_in(A,c_PropLog_Othms(c_insert(B,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,C,D),C,D),A,D),E,tc_PropLog_Opl(D)),tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(7,a,596,a,b,14,a)].
% 7.41/7.69  604 c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),B,C),C),c_PropLog_Othms(D,C),tc_PropLog_Opl(C)).  [hyper(6,a,596,a)].
% 7.41/7.69  625 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(D,A,C),c_insert(D,E,tc_PropLog_Opl(C)),tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,49,a,b,604,a)].
% 7.41/7.69  703 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Ofalse,C),D,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,535,a)].
% 7.41/7.69  757 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Ofalse,B),c_PropLog_Opl_Oop_A_N_62(A,C,B),B),c_PropLog_Othms(D,B),tc_PropLog_Opl(B)).  [hyper(6,a,703,a)].
% 7.41/7.69  1716 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(D,A,C),B,C),E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,54,a)].
% 7.41/7.69  4857 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(D,A,C),c_PropLog_Opl_Ofalse,C),E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,1716,a,b,757,a)].
% 7.41/7.69  16299 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,D,C),D,C),B,C),E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,603,a)].
% 7.41/7.69  16303 c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),A,C),A,C),c_PropLog_Opl_Ofalse,C),D,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,4857,a,b,16299,a)].
% 7.41/7.69  16323 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),B,C),D,C),c_PropLog_Opl_Oop_A_N_62(A,D,C),C),c_PropLog_Othms(E,C),tc_PropLog_Opl(C)).  [hyper(6,a,16299,a)].
% 7.41/7.69  16398 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),A,C),A,C),c_PropLog_Opl_Ofalse,C),c_PropLog_Opl_Ofalse,C),c_PropLog_Othms(D,C),tc_PropLog_Opl(C)).  [hyper(6,a,16303,a)].
% 7.41/7.69  16429 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),A,C),A,C),c_PropLog_Othms(D,C),tc_PropLog_Opl(C)).  [hyper(7,a,16398,a,b,2,a)].
% 7.41/7.69  16511 c_in(A,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,C,D),A,D),D),c_insert(B,E,tc_PropLog_Opl(D)),tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(7,a,49,a,b,16429,a)].
% 7.41/7.69  18095 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(c_PropLog_Opl_Oop_A_N_62(B,D,C),D,C),C),c_PropLog_Othms(c_insert(A,E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,625,a)].
% 7.41/7.69  18097 c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,C,D),C,D),D),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(A,B,D),E,tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(7,a,18095,a,b,16323,a)].
% 7.41/7.69  18881 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(D,B,C),C),c_insert(D,E,tc_PropLog_Opl(C)),tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(6,a,520,a)].
% 7.41/7.69  18942 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,C,D),B,D),D),B,D),c_PropLog_Othms(c_insert(A,E,tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(6,a,16511,a)].
% 7.41/7.69  18944 c_in(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,D,C),B,C),C),E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,18942,a,b,16323,a)].
% 7.41/7.69  18977 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,C,D),B,D),D),c_PropLog_Opl_Oop_A_N_62(A,B,D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)).  [hyper(6,a,18944,a)].
% 7.41/7.69  19227 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(A,C,D),D),c_PropLog_Othms(c_insert(B,E,tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(6,a,18881,a)].
% 7.41/7.69  19255 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Opl_Oop_A_N_62(D,A,C),C),A,C),c_PropLog_Othms(c_insert(D,E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,19227,a,b,18977,a)].
% 7.41/7.69  19261 c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(A,C,D),D),c_PropLog_Opl_Oop_A_N_62(B,C,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)).  [hyper(6,a,19227,a)].
% 7.41/7.69  19271 c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(B,C,D),D),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(B,c_PropLog_Opl_Oop_A_N_62(A,C,D),D),E,tc_PropLog_Opl(D)),D),tc_PropLog_Opl(D)).  [hyper(7,a,19261,a,b,19227,a)].
% 7.41/7.69  19316 c_in(c_PropLog_Opl_Oop_A_N_62(A,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,C,D),c_PropLog_Opl_Oop_A_N_62(A,B,D),D),B,D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)).  [hyper(6,a,19255,a)].
% 7.41/7.69  19415 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(B,c_PropLog_Opl_Oop_A_N_62(A,C,D),D),D),c_PropLog_Othms(E,D),tc_PropLog_Opl(D)).  [hyper(6,a,19271,a)].
% 7.41/7.69  19420 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),c_PropLog_Opl_Oop_A_N_62(D,A,C),C),c_PropLog_Opl_Oop_A_N_62(D,A,C),C),c_PropLog_Othms(E,C),tc_PropLog_Opl(C)).  [hyper(7,a,19316,a,b,19415,a)].
% 7.41/7.69  19489 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(B,D,C),A,C),E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,18097,a,b,19420,a)].
% 7.41/7.69  19957 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),D,C),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(D,A,C),A,C),C),c_PropLog_Othms(E,C),tc_PropLog_Opl(C)).  [hyper(6,a,19489,a)].
% 7.41/7.69  19963 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),B,C),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,D,C),B,C),E,tc_PropLog_Opl(C)),C),tc_PropLog_Opl(C)).  [hyper(7,a,19489,a,b,19957,a)].
% 7.41/7.69  20129 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,B,C),D,C),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,D,C),D,C),C),c_PropLog_Othms(E,C),tc_PropLog_Opl(C)).  [hyper(6,a,19963,a)].
% 7.41/7.69  20136 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(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(A,D,C),B,C),B,C),C),c_PropLog_Othms(E,C),tc_PropLog_Opl(C)).  [hyper(7,a,20129,a,b,19415,a)].
% 7.41/7.69  20137 $F # answer(cls_conjecture_0).  [resolve(20136,a,3,a)].
% 7.41/7.69  
% 7.41/7.69  % SZS output end Refutation
% 7.41/7.69  ============================== end of proof ==========================
% 7.41/7.69  
% 7.41/7.69  ============================== STATISTICS ============================
% 7.41/7.69  
% 7.41/7.69  Given=1562. Generated=1044510. Kept=20136. proofs=1.
% 7.41/7.69  Usable=1558. Sos=9999. Demods=0. Limbo=4, Disabled=8581. Hints=0.
% 7.41/7.69  Megabytes=18.80.
% 7.41/7.69  User_CPU=6.14, System_CPU=0.56, Wall_clock=6.
% 7.41/7.69  
% 7.41/7.69  ============================== end of statistics =====================
% 7.41/7.69  
% 7.41/7.69  ============================== end of search =========================
% 7.41/7.69  
% 7.41/7.69  THEOREM PROVED
% 7.41/7.69  % SZS status Unsatisfiable
% 7.41/7.69  
% 7.41/7.69  Exiting with 1 proof.
% 7.41/7.69  
% 7.41/7.69  Process 26371 exit (max_proofs) Sun Jul  3 15:38:07 2022
% 7.41/7.69  Prover9 interrupted
%------------------------------------------------------------------------------