TSTP Solution File: KRS009-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KRS009-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %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  : 600s
% DateTime : Sun Jul 17 03:24:45 EDT 2022

% Result   : Unknown 0.71s 1.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : KRS009-1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jun  7 07:54:33 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.67/0.99  ============================== Prover9 ===============================
% 0.67/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.99  Process 29180 was started by sandbox2 on n025.cluster.edu,
% 0.67/0.99  Tue Jun  7 07:54:34 2022
% 0.67/0.99  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28835_n025.cluster.edu".
% 0.67/0.99  ============================== end of head ===========================
% 0.67/0.99  
% 0.67/0.99  ============================== INPUT =================================
% 0.67/0.99  
% 0.67/0.99  % Reading from file /tmp/Prover9_28835_n025.cluster.edu
% 0.67/0.99  
% 0.67/0.99  set(prolog_style_variables).
% 0.67/0.99  set(auto2).
% 0.67/0.99      % set(auto2) -> set(auto).
% 0.67/0.99      % set(auto) -> set(auto_inference).
% 0.67/0.99      % set(auto) -> set(auto_setup).
% 0.67/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.67/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.99      % set(auto) -> set(auto_limits).
% 0.67/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.99      % set(auto) -> set(auto_denials).
% 0.67/0.99      % set(auto) -> set(auto_process).
% 0.67/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.67/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.67/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.67/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.67/0.99      % set(auto2) -> assign(stats, some).
% 0.67/0.99      % set(auto2) -> clear(echo_input).
% 0.67/0.99      % set(auto2) -> set(quiet).
% 0.67/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.99      % set(auto2) -> clear(print_given).
% 0.67/0.99  assign(lrs_ticks,-1).
% 0.67/0.99  assign(sos_limit,10000).
% 0.67/0.99  assign(order,kbo).
% 0.67/0.99  set(lex_order_vars).
% 0.67/0.99  clear(print_given).
% 0.67/0.99  
% 0.67/0.99  % formulas(sos).  % not echoed (41 formulas)
% 0.67/0.99  
% 0.67/0.99  ============================== end of input ==========================
% 0.67/0.99  
% 0.67/0.99  % From the command line: assign(max_seconds, 300).
% 0.67/0.99  
% 0.67/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.99  
% 0.67/0.99  % Formulas that are not ordinary clauses:
% 0.67/0.99  
% 0.67/0.99  ============================== end of process non-clausal formulas ===
% 0.67/0.99  
% 0.67/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.99  
% 0.67/0.99  ============================== PREDICATE ELIMINATION =================
% 0.67/0.99  1 s1most(A) | -e(A) # label(clause_21) # label(axiom).  [assumption].
% 0.67/0.99  2 e(exist) # label(clause_1) # label(negated_conjecture).  [assumption].
% 0.67/0.99  Derived: s1most(exist).  [resolve(1,b,2,a)].
% 0.67/0.99  3 r1most(A) | -e(A) # label(clause_22) # label(axiom).  [assumption].
% 0.67/0.99  Derived: r1most(exist).  [resolve(3,b,2,a)].
% 0.67/0.99  4 t3least(A) | -e(A) # label(clause_23) # label(axiom).  [assumption].
% 0.67/0.99  Derived: t3least(exist).  [resolve(4,b,2,a)].
% 0.67/0.99  5 a(A) | -e(B) | -t(B,A) # label(clause_24) # label(axiom).  [assumption].
% 0.67/0.99  Derived: a(A) | -t(exist,A).  [resolve(5,b,2,a)].
% 0.67/0.99  6 e(A) | -a(u7r1(A)) | -t3least(A) | -r1most(A) | -s1most(A) # label(clause_25) # label(axiom).  [assumption].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | -r1most(A) | -s1most(A) | a(B) | -t(A,B).  [resolve(6,a,5,b)].
% 0.67/0.99  7 e(A) | t(A,u7r1(A)) | -t3least(A) | -r1most(A) | -s1most(A) # label(clause_26) # label(axiom).  [assumption].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | -r1most(A) | -s1most(A) | a(B) | -t(A,B).  [resolve(7,a,5,b)].
% 0.67/0.99  8 d(A) | -p1most(A) # label(clause_9) # label(axiom).  [assumption].
% 0.67/0.99  9 p1most(A) | p(A,u3r1(A)) # label(clause_12) # label(axiom).  [assumption].
% 0.67/0.99  10 p1most(A) | p(A,u3r2(A)) # label(clause_13) # label(axiom).  [assumption].
% 0.67/0.99  11 p1most(A) | -d(A) # label(clause_8) # label(axiom).  [assumption].
% 0.67/0.99  Derived: d(A) | p(A,u3r1(A)).  [resolve(8,b,9,a)].
% 0.67/0.99  Derived: d(A) | p(A,u3r2(A)).  [resolve(8,b,10,a)].
% 0.67/0.99  12 p1most(A) | -equalish(u3r2(A),u3r1(A)) # label(clause_11) # label(axiom).  [assumption].
% 0.67/0.99  Derived: -equalish(u3r2(A),u3r1(A)) | d(A).  [resolve(12,a,8,b)].
% 0.67/0.99  13 equalish(A,B) | -p1most(C) | -p(C,A) | -p(C,B) # label(clause_10) # label(axiom).  [assumption].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | p(C,u3r1(C)).  [resolve(13,b,9,a)].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | p(C,u3r2(C)).  [resolve(13,b,10,a)].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | -d(C).  [resolve(13,b,11,a)].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | -equalish(u3r2(C),u3r1(C)).  [resolve(13,b,12,a)].
% 0.67/0.99  14 equalish(A,B) | -r1most(C) | -r(C,A) | -r(C,B) # label(clause_34) # label(axiom).  [assumption].
% 0.67/0.99  15 r1most(A) | r(A,u9r1(A)) # label(clause_36) # label(axiom).  [assumption].
% 0.67/0.99  16 r1most(A) | r(A,u9r2(A)) # label(clause_37) # label(axiom).  [assumption].
% 0.67/0.99  17 r1most(A) | -equalish(u9r2(A),u9r1(A)) # label(clause_35) # label(axiom).  [assumption].
% 0.67/0.99  Derived: equalish(A,B) | -r(C,A) | -r(C,B) | r(C,u9r1(C)).  [resolve(14,b,15,a)].
% 0.67/0.99  Derived: equalish(A,B) | -r(C,A) | -r(C,B) | r(C,u9r2(C)).  [resolve(14,b,16,a)].
% 0.67/0.99  Derived: equalish(A,B) | -r(C,A) | -r(C,B) | -equalish(u9r2(C),u9r1(C)).  [resolve(14,b,17,a)].
% 0.67/0.99  18 r1most(exist).  [resolve(3,b,2,a)].
% 0.67/0.99  Derived: equalish(A,B) | -r(exist,A) | -r(exist,B).  [resolve(18,a,14,b)].
% 0.67/0.99  19 -a(u7r1(A)) | -t3least(A) | -r1most(A) | -s1most(A) | a(B) | -t(A,B).  [resolve(6,a,5,b)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r1(A)).  [resolve(19,c,15,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r2(A)).  [resolve(19,c,16,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)).  [resolve(19,c,17,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | -s1most(exist) | a(A) | -t(exist,A).  [resolve(19,c,18,a)].
% 0.67/0.99  20 t(A,u7r1(A)) | -t3least(A) | -r1most(A) | -s1most(A) | a(B) | -t(A,B).  [resolve(7,a,5,b)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r1(A)).  [resolve(20,c,15,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r2(A)).  [resolve(20,c,16,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)).  [resolve(20,c,17,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | -s1most(exist) | a(A) | -t(exist,A).  [resolve(20,c,18,a)].
% 0.67/0.99  21 equalish(A,B) | -s1most(C) | -s(C,A) | -s(C,B) # label(clause_38) # label(axiom).  [assumption].
% 0.67/0.99  22 s1most(A) | s(A,u10r1(A)) # label(clause_40) # label(axiom).  [assumption].
% 0.67/0.99  23 s1most(A) | s(A,u10r2(A)) # label(clause_41) # label(axiom).  [assumption].
% 0.67/0.99  24 s1most(A) | -equalish(u10r2(A),u10r1(A)) # label(clause_39) # label(axiom).  [assumption].
% 0.67/0.99  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | s(C,u10r1(C)).  [resolve(21,b,22,a)].
% 0.67/0.99  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | s(C,u10r2(C)).  [resolve(21,b,23,a)].
% 0.67/0.99  Derived: equalish(A,B) | -s(C,A) | -s(C,B) | -equalish(u10r2(C),u10r1(C)).  [resolve(21,b,24,a)].
% 0.67/0.99  25 s1most(exist).  [resolve(1,b,2,a)].
% 0.67/0.99  Derived: equalish(A,B) | -s(exist,A) | -s(exist,B).  [resolve(25,a,21,b)].
% 0.67/0.99  26 -a(u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r1(A)).  [resolve(19,c,15,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r1(A)).  [resolve(26,c,22,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r2(A)).  [resolve(26,c,23,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(26,c,24,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r1(exist)).  [resolve(26,c,25,a)].
% 0.67/0.99  27 -a(u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r2(A)).  [resolve(19,c,16,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r1(A)).  [resolve(27,c,22,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r2(A)).  [resolve(27,c,23,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(27,c,24,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r2(exist)).  [resolve(27,c,25,a)].
% 0.67/0.99  28 -a(u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)).  [resolve(19,c,17,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r1(A)).  [resolve(28,c,22,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r2(A)).  [resolve(28,c,23,a)].
% 0.67/0.99  Derived: -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(28,c,24,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)).  [resolve(28,c,25,a)].
% 0.67/0.99  29 -a(u7r1(exist)) | -t3least(exist) | -s1most(exist) | a(A) | -t(exist,A).  [resolve(19,c,18,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r1(exist)).  [resolve(29,c,22,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r2(exist)).  [resolve(29,c,23,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(29,c,24,a)].
% 0.67/0.99  Derived: -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A).  [resolve(29,c,25,a)].
% 0.67/0.99  30 t(A,u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r1(A)).  [resolve(20,c,15,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r1(A)).  [resolve(30,c,22,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r2(A)).  [resolve(30,c,23,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(30,c,24,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r1(exist)).  [resolve(30,c,25,a)].
% 0.67/0.99  31 t(A,u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | r(A,u9r2(A)).  [resolve(20,c,16,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r1(A)).  [resolve(31,c,22,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r2(A)).  [resolve(31,c,23,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(31,c,24,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r2(exist)).  [resolve(31,c,25,a)].
% 0.67/0.99  32 t(A,u7r1(A)) | -t3least(A) | -s1most(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)).  [resolve(20,c,17,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r1(A)).  [resolve(32,c,22,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r2(A)).  [resolve(32,c,23,a)].
% 0.67/0.99  Derived: t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(32,c,24,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)).  [resolve(32,c,25,a)].
% 0.67/0.99  33 t(exist,u7r1(exist)) | -t3least(exist) | -s1most(exist) | a(A) | -t(exist,A).  [resolve(20,c,18,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r1(exist)).  [resolve(33,c,22,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r2(exist)).  [resolve(33,c,23,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(33,c,24,a)].
% 0.67/0.99  Derived: t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A).  [resolve(33,c,25,a)].
% 0.67/0.99  34 p2least(A) | -c(A) # label(clause_2) # label(axiom).  [assumption].
% 0.67/0.99  35 -p2least(A) | -equalish(u1r2(A),u1r1(A)) # label(clause_4) # label(axiom).  [assumption].
% 0.67/0.99  Derived: -c(A) | -equalish(u1r2(A),u1r1(A)).  [resolve(34,a,35,a)].
% 0.67/0.99  36 c(A) | -p2least(A) # label(clause_3) # label(axiom).  [assumption].
% 0.67/0.99  37 p(A,u1r1(A)) | -p2least(A) # label(clause_5) # label(axiom).  [assumption].
% 0.67/0.99  Derived: p(A,u1r1(A)) | -c(A).  [resolve(37,b,34,a)].
% 0.67/0.99  38 p(A,u1r2(A)) | -p2least(A) # label(clause_6) # label(axiom).  [assumption].
% 0.67/0.99  Derived: p(A,u1r2(A)) | -c(A).  [resolve(38,b,34,a)].
% 0.67/0.99  39 p2least(A) | equalish(B,C) | -p(A,B) | -p(A,C) # label(clause_7) # label(axiom).  [assumption].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | -equalish(u1r2(C),u1r1(C)).  [resolve(39,a,35,a)].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | c(C).  [resolve(39,a,36,b)].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | p(C,u1r1(C)).  [resolve(39,a,37,b)].
% 0.67/0.99  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | p(C,u1r2(C)).  [resolve(39,a,38,b)].
% 0.67/1.00  40 t3least(A) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(A,B) | -t(A,C) | -t(A,D) # label(clause_33) # label(axiom).  [assumption].
% 0.67/1.00  41 -t3least(A) | -equalish(u8r2(A),u8r1(A)) # label(clause_27) # label(axiom).  [assumption].
% 0.67/1.00  42 -t3least(A) | -equalish(u8r3(A),u8r1(A)) # label(clause_28) # label(axiom).  [assumption].
% 0.67/1.00  43 -t3least(A) | -equalish(u8r3(A),u8r2(A)) # label(clause_29) # label(axiom).  [assumption].
% 0.67/1.00  44 t(A,u8r1(A)) | -t3least(A) # label(clause_30) # label(axiom).  [assumption].
% 0.67/1.00  45 t(A,u8r2(A)) | -t3least(A) # label(clause_31) # label(axiom).  [assumption].
% 0.67/1.00  46 t(A,u8r3(A)) | -t3least(A) # label(clause_32) # label(axiom).  [assumption].
% 0.67/1.00  Derived: equalish(A,B) | equalish(A,C) | equalish(B,C) | -t(D,A) | -t(D,B) | -t(D,C) | -equalish(u8r2(D),u8r1(D)).  [resolve(40,a,41,a)].
% 0.67/1.00  Derived: equalish(A,B) | equalish(A,C) | equalish(B,C) | -t(D,A) | -t(D,B) | -t(D,C) | -equalish(u8r3(D),u8r1(D)).  [resolve(40,a,42,a)].
% 0.67/1.00  Derived: equalish(A,B) | equalish(A,C) | equalish(B,C) | -t(D,A) | -t(D,B) | -t(D,C) | -equalish(u8r3(D),u8r2(D)).  [resolve(40,a,43,a)].
% 0.67/1.00  Derived: equalish(A,B) | equalish(A,C) | equalish(B,C) | -t(D,A) | -t(D,B) | -t(D,C) | t(D,u8r1(D)).  [resolve(40,a,44,b)].
% 0.67/1.00  Derived: equalish(A,B) | equalish(A,C) | equalish(B,C) | -t(D,A) | -t(D,B) | -t(D,C) | t(D,u8r2(D)).  [resolve(40,a,45,b)].
% 0.67/1.00  Derived: equalish(A,B) | equalish(A,C) | equalish(B,C) | -t(D,A) | -t(D,B) | -t(D,C) | t(D,u8r3(D)).  [resolve(40,a,46,b)].
% 0.67/1.00  47 t3least(exist).  [resolve(4,b,2,a)].
% 0.67/1.00  Derived: -equalish(u8r2(exist),u8r1(exist)).  [resolve(47,a,41,a)].
% 0.67/1.00  Derived: -equalish(u8r3(exist),u8r1(exist)).  [resolve(47,a,42,a)].
% 0.67/1.00  Derived: -equalish(u8r3(exist),u8r2(exist)).  [resolve(47,a,43,a)].
% 0.67/1.00  Derived: t(exist,u8r1(exist)).  [resolve(47,a,44,b)].
% 0.67/1.00  Derived: t(exist,u8r2(exist)).  [resolve(47,a,45,b)].
% 0.67/1.00  Derived: t(exist,u8r3(exist)).  [resolve(47,a,46,b)].
% 0.67/1.00  48 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r1(A)).  [resolve(26,c,22,a)].
% 0.67/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(48,b,40,a)].
% 0.67/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | s(exist,u10r1(exist)).  [resolve(48,b,47,a)].
% 0.67/1.00  49 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r2(A)).  [resolve(26,c,23,a)].
% 0.67/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r2(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(49,b,40,a)].
% 0.67/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | s(exist,u10r2(exist)).  [resolve(49,b,47,a)].
% 0.67/1.00  50 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(26,c,24,a)].
% 0.67/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | r(A,u9r1(A)) | -equalish(u10r2(A),u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(50,b,40,a)].
% 0.67/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(50,b,47,a)].
% 0.67/1.00  51 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r1(exist)).  [resolve(26,c,25,a)].
% 0.67/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(51,b,40,a)].
% 0.67/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)).  [resolve(51,b,47,a)].
% 0.67/1.00  52 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r1(A)).  [resolve(27,c,22,a)].
% 0.67/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(52,b,40,a)].
% 0.67/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | s(exist,u10r1(exist)).  [resolve(52,b,47,a)].
% 0.67/1.00  53 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r2(A)).  [resolve(27,c,23,a)].
% 0.67/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r2(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(53,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | s(exist,u10r2(exist)).  [resolve(53,b,47,a)].
% 0.71/1.00  54 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(27,c,24,a)].
% 0.71/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | r(A,u9r2(A)) | -equalish(u10r2(A),u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(54,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(54,b,47,a)].
% 0.71/1.00  55 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r2(exist)).  [resolve(27,c,25,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(55,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)).  [resolve(55,b,47,a)].
% 0.71/1.00  56 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r1(A)).  [resolve(28,c,22,a)].
% 0.71/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(56,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | s(exist,u10r1(exist)).  [resolve(56,b,47,a)].
% 0.71/1.00  57 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r2(A)).  [resolve(28,c,23,a)].
% 0.71/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r2(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(57,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | s(exist,u10r2(exist)).  [resolve(57,b,47,a)].
% 0.71/1.00  58 -a(u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(28,c,24,a)].
% 0.71/1.00  Derived: -a(u7r1(A)) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | -equalish(u10r2(A),u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(58,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(58,b,47,a)].
% 0.71/1.00  59 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)).  [resolve(28,c,25,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(59,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)).  [resolve(59,b,47,a)].
% 0.71/1.00  60 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r1(exist)).  [resolve(29,c,22,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(60,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r1(exist)).  [resolve(60,b,47,a)].
% 0.71/1.00  61 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r2(exist)).  [resolve(29,c,23,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r2(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(61,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r2(exist)).  [resolve(61,b,47,a)].
% 0.71/1.00  62 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(29,c,24,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(62,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(62,b,47,a)].
% 0.71/1.00  63 -a(u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A).  [resolve(29,c,25,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(63,b,40,a)].
% 0.71/1.00  Derived: -a(u7r1(exist)) | a(A) | -t(exist,A).  [resolve(63,b,47,a)].
% 0.71/1.00  64 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r1(A)).  [resolve(30,c,22,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(64,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | s(exist,u10r1(exist)).  [resolve(64,b,47,a)].
% 0.71/1.00  65 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r2(A)).  [resolve(30,c,23,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | r(A,u9r1(A)) | s(A,u10r2(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(65,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | s(exist,u10r2(exist)).  [resolve(65,b,47,a)].
% 0.71/1.00  66 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(30,c,24,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | r(A,u9r1(A)) | -equalish(u10r2(A),u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(66,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(66,b,47,a)].
% 0.71/1.00  67 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r1(exist)).  [resolve(30,c,25,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(67,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r1(exist)).  [resolve(67,b,47,a)].
% 0.71/1.00  68 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r1(A)).  [resolve(31,c,22,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(68,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | s(exist,u10r1(exist)).  [resolve(68,b,47,a)].
% 0.71/1.00  69 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r2(A)).  [resolve(31,c,23,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | r(A,u9r2(A)) | s(A,u10r2(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(69,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | s(exist,u10r2(exist)).  [resolve(69,b,47,a)].
% 0.71/1.00  70 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | r(A,u9r2(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(31,c,24,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | r(A,u9r2(A)) | -equalish(u10r2(A),u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(70,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(70,b,47,a)].
% 0.71/1.00  71 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | r(exist,u9r2(exist)).  [resolve(31,c,25,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(71,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | r(exist,u9r2(exist)).  [resolve(71,b,47,a)].
% 0.71/1.00  72 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r1(A)).  [resolve(32,c,22,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(72,b,40,a)].
% 0.71/1.00  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | s(exist,u10r1(exist)).  [resolve(72,b,47,a)].
% 0.71/1.00  73 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r2(A)).  [resolve(32,c,23,a)].
% 0.71/1.00  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | s(A,u10r2(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(73,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | s(exist,u10r2(exist)).  [resolve(73,b,47,a)].
% 0.71/1.01  74 t(A,u7r1(A)) | -t3least(A) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | -equalish(u10r2(A),u10r1(A)).  [resolve(32,c,24,a)].
% 0.71/1.01  Derived: t(A,u7r1(A)) | a(B) | -t(A,B) | -equalish(u9r2(A),u9r1(A)) | -equalish(u10r2(A),u10r1(A)) | equalish(C,D) | equalish(C,E) | equalish(D,E) | -t(A,C) | -t(A,D) | -t(A,E).  [resolve(74,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(74,b,47,a)].
% 0.71/1.01  75 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)).  [resolve(32,c,25,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(75,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u9r2(exist),u9r1(exist)).  [resolve(75,b,47,a)].
% 0.71/1.01  76 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r1(exist)).  [resolve(33,c,22,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(76,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r1(exist)).  [resolve(76,b,47,a)].
% 0.71/1.01  77 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | s(exist,u10r2(exist)).  [resolve(33,c,23,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r2(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(77,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | s(exist,u10r2(exist)).  [resolve(77,b,47,a)].
% 0.71/1.01  78 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(33,c,24,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(78,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | -equalish(u10r2(exist),u10r1(exist)).  [resolve(78,b,47,a)].
% 0.71/1.01  79 t(exist,u7r1(exist)) | -t3least(exist) | a(A) | -t(exist,A).  [resolve(33,c,25,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A) | equalish(B,C) | equalish(B,D) | equalish(C,D) | -t(exist,B) | -t(exist,C) | -t(exist,D).  [resolve(79,b,40,a)].
% 0.71/1.01  Derived: t(exist,u7r1(exist)) | a(A) | -t(exist,A).  [resolve(79,b,47,a)].
% 0.71/1.01  80 d(A) | -s(B,A) # label(clause_19) # label(axiom).  [assumption].
% 0.71/1.01  81 a(A) | -d(A) # label(clause_15) # label(axiom).  [assumption].
% 0.71/1.01  Derived: -s(A,B) | a(B).  [resolve(80,a,81,b)].
% 0.71/1.01  82 c(A) | d(A) | -a(A) # label(clause_14) # label(axiom).  [assumption].
% 0.71/1.01  83 d(A) | p(A,u3r1(A)).  [resolve(8,b,9,a)].
% 0.71/1.01  Derived: p(A,u3r1(A)) | a(A).  [resolve(83,a,81,b)].
% 0.71/1.01  84 d(A) | p(A,u3r2(A)).  [resolve(8,b,10,a)].
% 0.71/1.01  Derived: p(A,u3r2(A)) | a(A).  [resolve(84,a,81,b)].
% 0.71/1.01  85 -equalish(u3r2(A),u3r1(A)) | d(A).  [resolve(12,a,8,b)].
% 0.71/1.01  Derived: -equalish(u3r2(A),u3r1(A)) | a(A).  [resolve(85,b,81,b)].
% 0.71/1.01  86 equalish(A,B) | -p(C,A) | -p(C,B) | -d(C).  [resolve(13,b,11,a)].
% 0.71/1.01  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | -s(D,C).  [resolve(86,d,80,a)].
% 0.71/1.01  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | p(C,u3r1(C)).  [resolve(86,d,83,a)].
% 0.71/1.01  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | p(C,u3r2(C)).  [resolve(86,d,84,a)].
% 0.71/1.01  87 c(A) | -r(B,A) # label(clause_17) # label(axiom).  [assumption].
% 0.71/1.01  88 a(A) | -c(A) # label(clause_16) # label(axiom).  [assumption].
% 0.71/1.01  Derived: -r(A,B) | a(B).  [resolve(87,a,88,b)].
% 0.71/1.01  89 -c(A) | -equalish(u1r2(A),u1r1(A)).  [resolve(34,a,35,a)].
% 0.71/1.01  Derived: -equalish(u1r2(A),u1r1(A)) | -r(B,A).  [resolve(89,a,87,a)].
% 0.71/1.01  90 p(A,u1r1(A)) | -c(A).  [resolve(37,b,34,a)].
% 0.71/1.01  Derived: p(A,u1r1(A)) | -r(B,A).  [resolve(90,b,87,a)].
% 0.71/1.01  91 p(A,u1r2(A)) | -c(A).  [resolve(38,b,34,a)].
% 0.71/1.01  Derived: p(A,u1r2(A)) | -r(B,A).  [resolve(91,b,87,a)].
% 0.71/1.06  92 equalish(A,B) | -p(C,A) | -p(C,B) | c(C).  [resolve(39,a,36,b)].
% 0.71/1.06  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | a(C).  [resolve(92,d,88,b)].
% 0.71/1.06  Derived: equalish(A,B) | -p(C,A) | -p(C,B) | -equalish(u1r2(C),u1r1(C)).  [resolve(92,d,89,a)].
% 0.71/1.06  
% 0.71/1.06  ============================== end predicate elimination =============
% 0.71/1.06  
% 0.71/1.06  Auto_denials:  (non-Horn, no changes).
% 0.71/1.06  
% 0.71/1.06  Term ordering decisions:
% 0.71/1.06  Function symbol KB weights:  exist=1. u7r1=1. u10r1=1. u10r2=1. u9r1=1. u9r2=1. u3r1=1. u3r2=1. u1r1=1. u1r2=1. u8r1=1. u8r2=1. u8r3=1.
% 0.71/1.06  
% 0.71/1.06  ============================== end of process initial clauses ========
% 0.71/1.06  
% 0.71/1.06  ============================== CLAUSES FOR SEARCH ====================
% 0.71/1.06  
% 0.71/1.06  ============================== end of clauses for search =============
% 0.71/1.06  
% 0.71/1.06  ============================== SEARCH ================================
% 0.71/1.06  
% 0.71/1.06  % Starting search at 0.06 seconds.
% 0.71/1.06  
% 0.71/1.06  ============================== STATISTICS ============================
% 0.71/1.06  
% 0.71/1.06  Given=177. Generated=1220. Kept=222. proofs=0.
% 0.71/1.06  Usable=54. Sos=0. Demods=0. Limbo=0, Disabled=366. Hints=0.
% 0.71/1.06  Megabytes=0.33.
% 0.71/1.06  User_CPU=0.08, System_CPU=0.00, Wall_clock=0.
% 0.71/1.06  
% 0.71/1.06  ============================== end of statistics =====================
% 0.71/1.06  
% 0.71/1.06  ============================== end of search =========================
% 0.71/1.06  
% 0.71/1.06  SEARCH FAILED
% 0.71/1.06  
% 0.71/1.06  Exiting with failure.
% 0.71/1.06  
% 0.71/1.06  Process 29180 exit (sos_empty) Tue Jun  7 07:54:34 2022
% 0.71/1.06  Prover9 interrupted
%------------------------------------------------------------------------------