TSTP Solution File: LCL689+1.001 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : LCL689+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n023.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 13:05:11 EDT 2022

% Result   : Timeout 299.86s 300.01s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LCL689+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n023.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 09:35:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.05/2.21  ----- Otter 3.3f, August 2004 -----
% 2.05/2.21  The process was started by sandbox2 on n023.cluster.edu,
% 2.05/2.21  Wed Jul 27 09:35:48 2022
% 2.05/2.21  The command was "./otter".  The process ID is 29902.
% 2.05/2.21  
% 2.05/2.21  set(prolog_style_variables).
% 2.05/2.21  set(auto).
% 2.05/2.21     dependent: set(auto1).
% 2.05/2.21     dependent: set(process_input).
% 2.05/2.21     dependent: clear(print_kept).
% 2.05/2.21     dependent: clear(print_new_demod).
% 2.05/2.21     dependent: clear(print_back_demod).
% 2.05/2.21     dependent: clear(print_back_sub).
% 2.05/2.21     dependent: set(control_memory).
% 2.05/2.21     dependent: assign(max_mem, 12000).
% 2.05/2.21     dependent: assign(pick_given_ratio, 4).
% 2.05/2.21     dependent: assign(stats_level, 1).
% 2.05/2.21     dependent: assign(max_seconds, 10800).
% 2.05/2.21  clear(print_given).
% 2.05/2.21  
% 2.05/2.21  formula_list(usable).
% 2.05/2.21  all X r1(X,X).
% 2.05/2.21  all X Y Z (r1(X,Y)&r1(Y,Z)->r1(X,Z)).
% 2.05/2.21  -(-(exists X (-(-(all Y (-r1(X,Y)| -p4(Y)))| -(all Y (-r1(X,Y)| -(-(all X (-r1(Y,X)| -(-(all Y (-r1(X,Y)| -(-(all X (-r1(Y,X)| -(-(all Y (-r1(X,Y)| -((all X (-r1(Y,X)|p3(X)))| -p2(Y))))&p2(X)& -(all Y (-r1(X,Y)| -(all X (-r1(Y,X)| -(all Y (-r1(X,Y)| -p2(Y))))))))))| (all X (-r1(Y,X)| (all Y (-r1(X,Y)|p3(Y)))| -p2(X)))& (all X (-r1(Y,X)| -(all Y (-r1(X,Y)| -p2(Y))))))))| -p1(X)& -(all Y (-r1(X,Y)| -(all X (-r1(Y,X)|p1(X)))))& (all Y (-r1(X,Y)|p1(Y)| -(all X (-r1(Y,X)| -(-(all Y (-r1(X,Y)|p1(Y)))&p1(X)))))))))| -p1(Y)& -(all X (-r1(Y,X)| -(all Y (-r1(X,Y)|p1(Y)))))& (all X (-r1(Y,X)|p1(X)| -(all Y (-r1(X,Y)| -(-(all X (-r1(Y,X)|p1(X)))&p1(Y)))))))))| -p1(X)& -(all Y (-r1(X,Y)| -(all X (-r1(Y,X)|p1(X)))))& (all Y (-r1(X,Y)|p1(Y)| -(all X (-r1(Y,X)| -(-(all Y (-r1(X,Y)|p1(Y)))&p1(X))))))| (all Y (-r1(X,Y)| (all X (-r1(Y,X)| -(all Y (-r1(X,Y)|p1(Y)))))| (all X (-r1(Y,X)|p1(X)))))| (all Y (-r1(X,Y)| -(all X (-r1(Y,X)| -(all Y (-r1(X,Y)|p2(Y)))))))| -(all Y (-r1(X,Y)| (all X (-r1(Y,X)| (all Y (-r1(X,Y)| -p1(Y)))))| -(all X (-r1(Y,X)| -p1(X))))))))).
% 2.05/2.21  end_of_list.
% 2.05/2.21  
% 2.05/2.21  -------> usable clausifies to:
% 2.05/2.21  
% 2.05/2.21  list(usable).
% 2.05/2.21  0 [] r1(X,X).
% 2.05/2.21  0 [] -r1(X,Y)| -r1(Y,Z)|r1(X,Z).
% 2.05/2.21  0 [] -r1($c6,Y)| -p4(Y).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)|r1(X3,$f1(X12,X,X1,X2,X3))| -p2(X2)| -r1(X2,X4)|r1(X4,$f2(X12,X,X1,X2,X4)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)|r1(X3,$f1(X12,X,X1,X2,X3))| -p2(X2)| -r1(X2,X4)| -r1($f2(X12,X,X1,X2,X4),X5)| -p2(X5).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)| -p3($f1(X12,X,X1,X2,X3))| -p2(X2)| -r1(X2,X4)|r1(X4,$f2(X12,X,X1,X2,X4)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)| -p3($f1(X12,X,X1,X2,X3))| -p2(X2)| -r1(X2,X4)| -r1($f2(X12,X,X1,X2,X4),X5)| -p2(X5).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)|p2(X3)| -p2(X2)| -r1(X2,X4)|r1(X4,$f2(X12,X,X1,X2,X4)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -r1(X1,X2)| -r1(X2,X3)|p2(X3)| -p2(X2)| -r1(X2,X4)| -r1($f2(X12,X,X1,X2,X4),X5)| -p2(X5).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)|r1(X1,$f4(X12,X,X1))|r1(X1,$f5(X12,X,X1)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)|r1(X1,$f4(X12,X,X1))| -r1($f5(X12,X,X1),X6)| -p2(X6).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)|r1($f4(X12,X,X1),$f3(X12,$f4(X12,X,X1),X1))|r1(X1,$f5(X12,X,X1)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)|r1($f4(X12,X,X1),$f3(X12,$f4(X12,X,X1),X1))| -r1($f5(X12,X,X1),X6)| -p2(X6).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -p3($f3(X12,$f4(X12,X,X1),X1))|r1(X1,$f5(X12,X,X1)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)| -p3($f3(X12,$f4(X12,X,X1),X1))| -r1($f5(X12,X,X1),X6)| -p2(X6).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)|p2($f4(X12,X,X1))|r1(X1,$f5(X12,X,X1)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)| -r1(X,X1)|p2($f4(X12,X,X1))| -r1($f5(X12,X,X1),X6)| -p2(X6).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)|p1(X)| -r1(X,X7)|r1(X7,$f6(X12,X,X7))|r1(X,$f7(X12,X)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)|p1(X)| -r1(X,X7)|r1(X7,$f6(X12,X,X7))| -p1($f7(X12,X)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)|p1(X)| -r1(X,X7)|r1(X7,$f6(X12,X,X7))| -r1($f7(X12,X),X8)| -r1(X8,X9)|p1(X9)| -p1(X8).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)|p1(X)| -r1(X,X7)| -p1($f6(X12,X,X7))|r1(X,$f7(X12,X)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)|p1(X)| -r1(X,X7)| -p1($f6(X12,X,X7))| -p1($f7(X12,X)).
% 2.05/2.21  0 [] -r1($c6,X12)| -r1(X12,X)|p1(X)| -r1(X,X7)| -p1($f6(X12,X,X7))| -r1($f7(X12,X),X8)| -r1(X8,X9)|p1(X9)| -p1(X8).
% 2.05/2.21  0 [] -r1($c6,X12)|p1(X12)| -r1(X12,X13)|r1(X13,$f8(X12,X13))|r1(X12,$f9(X12)).
% 4.17/4.36  0 [] -r1($c6,X12)|p1(X12)| -r1(X12,X13)|r1(X13,$f8(X12,X13))| -p1($f9(X12)).
% 4.17/4.36  0 [] -r1($c6,X12)|p1(X12)| -r1(X12,X13)|r1(X13,$f8(X12,X13))| -r1($f9(X12),X10)| -r1(X10,X14)|p1(X14)| -p1(X10).
% 4.17/4.36  0 [] -r1($c6,X12)|p1(X12)| -r1(X12,X13)| -p1($f8(X12,X13))|r1(X12,$f9(X12)).
% 4.17/4.36  0 [] -r1($c6,X12)|p1(X12)| -r1(X12,X13)| -p1($f8(X12,X13))| -p1($f9(X12)).
% 4.17/4.36  0 [] -r1($c6,X12)|p1(X12)| -r1(X12,X13)| -p1($f8(X12,X13))| -r1($f9(X12),X10)| -r1(X10,X14)|p1(X14)| -p1(X10).
% 4.17/4.36  0 [] p1($c6)| -r1($c6,X15)|r1(X15,$f10(X15))|r1($c6,$c1).
% 4.17/4.36  0 [] p1($c6)| -r1($c6,X15)|r1(X15,$f10(X15))| -p1($c1).
% 4.17/4.36  0 [] p1($c6)| -r1($c6,X15)|r1(X15,$f10(X15))| -r1($c1,X16)| -r1(X16,X17)|p1(X17)| -p1(X16).
% 4.17/4.36  0 [] p1($c6)| -r1($c6,X15)| -p1($f10(X15))|r1($c6,$c1).
% 4.17/4.36  0 [] p1($c6)| -r1($c6,X15)| -p1($f10(X15))| -p1($c1).
% 4.17/4.36  0 [] p1($c6)| -r1($c6,X15)| -p1($f10(X15))| -r1($c1,X16)| -r1(X16,X17)|p1(X17)| -p1(X16).
% 4.17/4.36  0 [] r1($c6,$c4).
% 4.17/4.36  0 [] r1($c4,$c2).
% 4.17/4.36  0 [] -r1($c2,X18)|p1(X18).
% 4.17/4.36  0 [] r1($c4,$c3).
% 4.17/4.36  0 [] -p1($c3).
% 4.17/4.36  0 [] r1($c6,$c5).
% 4.17/4.36  0 [] -r1($c5,X19)|r1(X19,$f11(X19)).
% 4.17/4.36  0 [] -r1($c5,X19)| -p2($f11(X19)).
% 4.17/4.36  0 [] -r1($c6,X20)| -r1(X20,X21)| -r1(X21,X11)| -p1(X11)|r1(X20,$f12(X20)).
% 4.17/4.36  0 [] -r1($c6,X20)| -r1(X20,X21)| -r1(X21,X11)| -p1(X11)|p1($f12(X20)).
% 4.17/4.36  end_of_list.
% 4.17/4.36  
% 4.17/4.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=10.
% 4.17/4.36  
% 4.17/4.36  This is a non-Horn set without equality.  The strategy will
% 4.17/4.36  be ordered hyper_res, unit deletion, and factoring, with
% 4.17/4.36  satellites in sos and with nuclei in usable.
% 4.17/4.36  
% 4.17/4.36     dependent: set(hyper_res).
% 4.17/4.36     dependent: set(factor).
% 4.17/4.36     dependent: set(unit_deletion).
% 4.17/4.36  
% 4.17/4.36  ------------> process usable:
% 4.17/4.36  ** KEPT (pick-wt=9): 1 [] -r1(A,B)| -r1(B,C)|r1(A,C).
% 4.17/4.36  ** KEPT (pick-wt=5): 2 [] -r1($c6,A)| -p4(A).
% 4.17/4.36  ** KEPT (pick-wt=36): 3 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f1(A,B,C,D,E))| -p2(D)| -r1(D,F)|r1(F,$f2(A,B,C,D,F)).
% 4.17/4.36  ** KEPT (pick-wt=38): 4 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|r1(E,$f1(A,B,C,D,E))| -p2(D)| -r1(D,F)| -r1($f2(A,B,C,D,F),G)| -p2(G).
% 4.17/4.36  ** KEPT (pick-wt=35): 5 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p3($f1(A,B,C,D,E))| -p2(D)| -r1(D,F)|r1(F,$f2(A,B,C,D,F)).
% 4.17/4.36  ** KEPT (pick-wt=37): 6 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)| -p3($f1(A,B,C,D,E))| -p2(D)| -r1(D,F)| -r1($f2(A,B,C,D,F),G)| -p2(G).
% 4.17/4.36  ** KEPT (pick-wt=30): 7 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p2(E)| -p2(D)| -r1(D,F)|r1(F,$f2(A,B,C,D,F)).
% 4.17/4.36  ** KEPT (pick-wt=32): 8 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -r1(C,D)| -r1(D,E)|p2(E)| -p2(D)| -r1(D,F)| -r1($f2(A,B,C,D,F),G)| -p2(G).
% 4.17/4.36  ** KEPT (pick-wt=21): 9 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)|r1(C,$f4(A,B,C))|r1(C,$f5(A,B,C)).
% 4.17/4.36  ** KEPT (pick-wt=23): 10 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)|r1(C,$f4(A,B,C))| -r1($f5(A,B,C),D)| -p2(D).
% 4.17/4.36  ** KEPT (pick-wt=27): 11 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)|r1($f4(A,B,C),$f3(A,$f4(A,B,C),C))|r1(C,$f5(A,B,C)).
% 4.17/4.36  ** KEPT (pick-wt=29): 12 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)|r1($f4(A,B,C),$f3(A,$f4(A,B,C),C))| -r1($f5(A,B,C),D)| -p2(D).
% 4.17/4.36  ** KEPT (pick-wt=23): 13 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -p3($f3(A,$f4(A,B,C),C))|r1(C,$f5(A,B,C)).
% 4.17/4.36  ** KEPT (pick-wt=25): 14 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)| -p3($f3(A,$f4(A,B,C),C))| -r1($f5(A,B,C),D)| -p2(D).
% 4.17/4.36  ** KEPT (pick-wt=20): 15 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)|p2($f4(A,B,C))|r1(C,$f5(A,B,C)).
% 4.17/4.36  ** KEPT (pick-wt=22): 16 [] -r1($c6,A)| -r1(A,B)| -r1(B,C)|p2($f4(A,B,C))| -r1($f5(A,B,C),D)| -p2(D).
% 4.17/4.36  ** KEPT (pick-wt=22): 17 [] -r1($c6,A)| -r1(A,B)|p1(B)| -r1(B,C)|r1(C,$f6(A,B,C))|r1(B,$f7(A,B)).
% 4.17/4.36  ** KEPT (pick-wt=21): 18 [] -r1($c6,A)| -r1(A,B)|p1(B)| -r1(B,C)|r1(C,$f6(A,B,C))| -p1($f7(A,B)).
% 4.17/4.36  ** KEPT (pick-wt=29): 19 [] -r1($c6,A)| -r1(A,B)|p1(B)| -r1(B,C)|r1(C,$f6(A,B,C))| -r1($f7(A,B),D)| -r1(D,E)|p1(E)| -p1(D).
% 4.17/4.36  ** KEPT (pick-wt=21): 20 [] -r1($c6,A)| -r1(A,B)|p1(B)| -r1(B,C)| -p1($f6(A,B,C))|r1(B,$f7(A,B)).
% 4.17/4.36  ** KEPT (pick-wt=20): 21 [] -r1($c6,A)| -r1(A,B)|p1(B)| -r1(B,C)| -p1($f6(A,B,C))| -p1($f7(A,B)).
% 4.17/4.36  ** KEPT (pick-wt=28): 22 [] -r1($c6,A)| -r1(A,B)|p1(B)| -r1(B,C)| -p1($f6(A,B,C))| -r1($f7(A,B),D)| -r1(D,E)|p1(E)| -p1(D).
% 4.17/4.36  ** KEPT (pick-wt=17): 23 [] -r1($c6,A)|p1(A)| -r1(Alarm clock 
% 299.86/300.01  Otter interrupted
% 299.86/300.01  PROOF NOT FOUND
%------------------------------------------------------------------------------