TSTP Solution File: NUM862+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM862+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n025.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 13:10:07 EDT 2022

% Result   : Timeout 299.88s 300.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM862+1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n025.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 10:05:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.99/2.19  ----- Otter 3.3f, August 2004 -----
% 1.99/2.19  The process was started by sandbox on n025.cluster.edu,
% 1.99/2.19  Wed Jul 27 10:05:15 2022
% 1.99/2.19  The command was "./otter".  The process ID is 10206.
% 1.99/2.19  
% 1.99/2.19  set(prolog_style_variables).
% 1.99/2.19  set(auto).
% 1.99/2.19     dependent: set(auto1).
% 1.99/2.19     dependent: set(process_input).
% 1.99/2.19     dependent: clear(print_kept).
% 1.99/2.19     dependent: clear(print_new_demod).
% 1.99/2.19     dependent: clear(print_back_demod).
% 1.99/2.19     dependent: clear(print_back_sub).
% 1.99/2.19     dependent: set(control_memory).
% 1.99/2.19     dependent: assign(max_mem, 12000).
% 1.99/2.19     dependent: assign(pick_given_ratio, 4).
% 1.99/2.19     dependent: assign(stats_level, 1).
% 1.99/2.19     dependent: assign(max_seconds, 10800).
% 1.99/2.19  clear(print_given).
% 1.99/2.19  
% 1.99/2.19  formula_list(usable).
% 1.99/2.19  all A (A=A).
% 1.99/2.19  all X lesse_q(X,X).
% 1.99/2.19  all X Y Z (lesse_q(X,Y)&lesse_q(Y,Z)->lesse_q(X,Z)).
% 1.99/2.19  all X Y (lesse_q(X,Y)&lesse_q(Y,X)->X=Y).
% 1.99/2.19  all X Y (lesse_q(X,Y)|lesse_q(Y,X)).
% 1.99/2.19  all X Y Z (lesse_q(X,Y)<->lesse_q(sum(Z,X),sum(Z,Y))).
% 1.99/2.19  all X Y (lesse_q(X,Y)<->lesse_q(summation(X),summation(Y))).
% 1.99/2.19  all X Y (max(X,Y)=X| -lesse_q(Y,X)).
% 1.99/2.19  all X Y (max(X,Y)=Y| -lesse_q(X,Y)).
% 1.99/2.19  all X Y Z (ub(X,Y,Z)<->lesse_q(X,Z)&lesse_q(Y,Z)).
% 1.99/2.19  all X Y N (model_max(X,Y,N)<->lesse_q(sum(c,summation(max(X,Y))),N)).
% 1.99/2.19  all X Y N (model_ub(X,Y,N)<-> (exists Z (ub(X,Y,Z)&lesse_q(sum(c,summation(Z)),N)))).
% 1.99/2.19  all X Y N (minsol_model_max(X,Y,N)<->model_max(X,Y,N)& (all Z (model_max(X,Y,Z)->lesse_q(N,Z)))).
% 1.99/2.19  all X Y N (minsol_model_ub(X,Y,N)<->model_ub(X,Y,N)& (all Z (model_ub(X,Y,Z)->lesse_q(N,Z)))).
% 1.99/2.19  -(all X Y Z (minsol_model_ub(X,Y,Z)<->minsol_model_max(X,Y,Z))).
% 1.99/2.19  end_of_list.
% 1.99/2.19  
% 1.99/2.19  -------> usable clausifies to:
% 1.99/2.19  
% 1.99/2.19  list(usable).
% 1.99/2.19  0 [] A=A.
% 1.99/2.19  0 [] lesse_q(X,X).
% 1.99/2.19  0 [] -lesse_q(X,Y)| -lesse_q(Y,Z)|lesse_q(X,Z).
% 1.99/2.19  0 [] -lesse_q(X,Y)| -lesse_q(Y,X)|X=Y.
% 1.99/2.19  0 [] lesse_q(X,Y)|lesse_q(Y,X).
% 1.99/2.19  0 [] -lesse_q(X,Y)|lesse_q(sum(Z,X),sum(Z,Y)).
% 1.99/2.19  0 [] lesse_q(X,Y)| -lesse_q(sum(Z,X),sum(Z,Y)).
% 1.99/2.19  0 [] -lesse_q(X,Y)|lesse_q(summation(X),summation(Y)).
% 1.99/2.19  0 [] lesse_q(X,Y)| -lesse_q(summation(X),summation(Y)).
% 1.99/2.19  0 [] max(X,Y)=X| -lesse_q(Y,X).
% 1.99/2.19  0 [] max(X,Y)=Y| -lesse_q(X,Y).
% 1.99/2.19  0 [] -ub(X,Y,Z)|lesse_q(X,Z).
% 1.99/2.19  0 [] -ub(X,Y,Z)|lesse_q(Y,Z).
% 1.99/2.19  0 [] ub(X,Y,Z)| -lesse_q(X,Z)| -lesse_q(Y,Z).
% 1.99/2.19  0 [] -model_max(X,Y,N)|lesse_q(sum(c,summation(max(X,Y))),N).
% 1.99/2.19  0 [] model_max(X,Y,N)| -lesse_q(sum(c,summation(max(X,Y))),N).
% 1.99/2.19  0 [] -model_ub(X,Y,N)|ub(X,Y,$f1(X,Y,N)).
% 1.99/2.19  0 [] -model_ub(X,Y,N)|lesse_q(sum(c,summation($f1(X,Y,N))),N).
% 1.99/2.19  0 [] model_ub(X,Y,N)| -ub(X,Y,Z)| -lesse_q(sum(c,summation(Z)),N).
% 1.99/2.19  0 [] -minsol_model_max(X,Y,N)|model_max(X,Y,N).
% 1.99/2.19  0 [] -minsol_model_max(X,Y,N)| -model_max(X,Y,Z)|lesse_q(N,Z).
% 1.99/2.19  0 [] minsol_model_max(X,Y,N)| -model_max(X,Y,N)|model_max(X,Y,$f2(X,Y,N)).
% 1.99/2.19  0 [] minsol_model_max(X,Y,N)| -model_max(X,Y,N)| -lesse_q(N,$f2(X,Y,N)).
% 1.99/2.19  0 [] -minsol_model_ub(X,Y,N)|model_ub(X,Y,N).
% 1.99/2.19  0 [] -minsol_model_ub(X,Y,N)| -model_ub(X,Y,Z)|lesse_q(N,Z).
% 1.99/2.19  0 [] minsol_model_ub(X,Y,N)| -model_ub(X,Y,N)|model_ub(X,Y,$f3(X,Y,N)).
% 1.99/2.19  0 [] minsol_model_ub(X,Y,N)| -model_ub(X,Y,N)| -lesse_q(N,$f3(X,Y,N)).
% 1.99/2.19  0 [] minsol_model_ub($c3,$c2,$c1)|minsol_model_max($c3,$c2,$c1).
% 1.99/2.19  0 [] -minsol_model_ub($c3,$c2,$c1)| -minsol_model_max($c3,$c2,$c1).
% 1.99/2.19  end_of_list.
% 1.99/2.19  
% 1.99/2.19  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.99/2.19  
% 1.99/2.19  This ia a non-Horn set with equality.  The strategy will be
% 1.99/2.19  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.99/2.19  deletion, with positive clauses in sos and nonpositive
% 1.99/2.19  clauses in usable.
% 1.99/2.19  
% 1.99/2.19     dependent: set(knuth_bendix).
% 1.99/2.19     dependent: set(anl_eq).
% 1.99/2.19     dependent: set(para_from).
% 1.99/2.19     dependent: set(para_into).
% 1.99/2.19     dependent: clear(para_from_right).
% 1.99/2.19     dependent: clear(para_into_right).
% 1.99/2.19     dependent: set(para_from_vars).
% 1.99/2.19     dependent: set(eq_units_both_ways).
% 1.99/2.19     dependent: set(dynamic_demod_all).
% 1.99/2.19     dependent: set(dynamic_demod).
% 1.99/2.19     dependent: set(order_eq).
% 1.99/2.19     dependent: set(back_demod).
% 1.99/2.19     dependent: set(lrpo).
% 1.99/2.19     dependent: set(hyper_res).
% 1.99/2.19     dependent: set(unit_deletion).
% 1.99/2.19     dependent: set(factor).
% 1.99/2.19  
% 1.99/2.19  ------------> process usable:
% 1.99/2.19  ** KEPT (pick-wt=9): 1 [] -lesse_q(A,B)| -lesse_q(B,C)|lesse_q(A,C).
% 1.99/2.19  ** KEPT (pick-wt=9): 2 [] -lesse_q(A,B)| -lesse_q(B,A)|A=B.
% 1.99/2.19  ** KEPT (pick-wt=10): 3 [] -lesse_q(A,B)|lesse_q(sum(C,A),sum(C,B)).
% 1.99/2.19  ** KEPT (pick-wt=10): 4 [] lesse_q(A,B)| -lesse_q(sum(C,A),sum(C,B)).
% 1.99/2.19  ** KEPT (picAlarm clock 
% 299.88/300.06  Otter interrupted
% 299.88/300.06  PROOF NOT FOUND
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