TSTP Solution File: SCT013-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SCT013-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n005.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 : Mon Jul 18 22:03:25 EDT 2022

% Result   : Timeout 300.04s 300.30s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SCT013-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 08:52:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.90/1.22  ============================== Prover9 ===============================
% 0.90/1.22  Prover9 (32) version 2009-11A, November 2009.
% 0.90/1.22  Process 18556 was started by sandbox on n005.cluster.edu,
% 0.90/1.22  Sat Jul  2 08:52:38 2022
% 0.90/1.22  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_18402_n005.cluster.edu".
% 0.90/1.22  ============================== end of head ===========================
% 0.90/1.22  
% 0.90/1.22  ============================== INPUT =================================
% 0.90/1.22  
% 0.90/1.22  % Reading from file /tmp/Prover9_18402_n005.cluster.edu
% 0.90/1.22  
% 0.90/1.22  set(prolog_style_variables).
% 0.90/1.22  set(auto2).
% 0.90/1.22      % set(auto2) -> set(auto).
% 0.90/1.22      % set(auto) -> set(auto_inference).
% 0.90/1.22      % set(auto) -> set(auto_setup).
% 0.90/1.22      % set(auto_setup) -> set(predicate_elim).
% 0.90/1.22      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.90/1.22      % set(auto) -> set(auto_limits).
% 0.90/1.22      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.90/1.22      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.90/1.22      % set(auto) -> set(auto_denials).
% 0.90/1.22      % set(auto) -> set(auto_process).
% 0.90/1.22      % set(auto2) -> assign(new_constants, 1).
% 0.90/1.22      % set(auto2) -> assign(fold_denial_max, 3).
% 0.90/1.22      % set(auto2) -> assign(max_weight, "200.000").
% 0.90/1.22      % set(auto2) -> assign(max_hours, 1).
% 0.90/1.22      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.90/1.22      % set(auto2) -> assign(max_seconds, 0).
% 0.90/1.22      % set(auto2) -> assign(max_minutes, 5).
% 0.90/1.22      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.90/1.22      % set(auto2) -> set(sort_initial_sos).
% 0.90/1.22      % set(auto2) -> assign(sos_limit, -1).
% 0.90/1.22      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.90/1.22      % set(auto2) -> assign(max_megs, 400).
% 0.90/1.22      % set(auto2) -> assign(stats, some).
% 0.90/1.22      % set(auto2) -> clear(echo_input).
% 0.90/1.22      % set(auto2) -> set(quiet).
% 0.90/1.22      % set(auto2) -> clear(print_initial_clauses).
% 0.90/1.22      % set(auto2) -> clear(print_given).
% 0.90/1.22  assign(lrs_ticks,-1).
% 0.90/1.22  assign(sos_limit,10000).
% 0.90/1.22  assign(order,kbo).
% 0.90/1.22  set(lex_order_vars).
% 0.90/1.22  clear(print_given).
% 0.90/1.22  
% 0.90/1.22  % formulas(sos).  % not echoed (457 formulas)
% 0.90/1.22  
% 0.90/1.22  ============================== end of input ==========================
% 0.90/1.22  
% 0.90/1.22  % From the command line: assign(max_seconds, 300).
% 0.90/1.22  
% 0.90/1.22  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.90/1.22  
% 0.90/1.22  % Formulas that are not ordinary clauses:
% 0.90/1.22  
% 0.90/1.22  ============================== end of process non-clausal formulas ===
% 0.90/1.22  
% 0.90/1.22  ============================== PROCESS INITIAL CLAUSES ===============
% 0.90/1.22  
% 0.90/1.22  ============================== PREDICATE ELIMINATION =================
% 0.90/1.22  1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.90/1.22  2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) # label(cls_sup__assoc_0) # label(axiom).  [assumption].
% 0.90/1.22  3 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A) # label(cls_sup__left__commute_0) # label(axiom).  [assumption].
% 0.90/1.22  4 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom).  [assumption].
% 0.90/1.22  5 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,A) = c_Lattices_Oupper__semilattice__class_Osup(C,B,A) # label(cls_sup__commute_0) # label(axiom).  [assumption].
% 0.90/1.22  6 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A) = c_Lattices_Oupper__semilattice__class_Osup(B,C,A) # label(cls_sup__left__idem_0) # label(axiom).  [assumption].
% 0.90/1.22  7 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_HOL_Oord__class_Oless(B,C,A) # label(cls_less__supI1_0) # label(axiom).  [assumption].
% 0.90/1.22  8 -class_Lattices_Oupper__semilattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__supI2_0) # label(axiom).  [assumption].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,E,tc_fun(D,A)),tc_fun(D,A)).  [resolve(1,a,2,a)].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,tc_fun(E,A)),tc_fun(E,A)).  [resolve(1,a,3,a)].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B.  [resolve(1,a,4,a)].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_fun(D,A)).  [resolve(1,a,5,a)].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_fun(D,A)).  [resolve(1,a,6,a)].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_HOL_Oord__class_Oless(B,C,tc_fun(E,A)).  [resolve(1,a,7,a)].
% 0.90/1.23  Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,tc_fun(E,A)),tc_fun(E,A)) | -c_HOL_Oord__class_Oless(B,D,tc_fun(E,A)).  [resolve(1,a,8,a)].
% 0.90/1.23  9 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.90/1.23  Derived: c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),C,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool).  [resolve(9,a,2,a)].
% 0.90/1.23  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(A,C,tc_bool),tc_bool).  [resolve(9,a,3,a)].
% 0.90/1.23  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A.  [resolve(9,a,4,a)].
% 0.90/1.23  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool).  [resolve(9,a,5,a)].
% 0.90/1.23  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool).  [resolve(9,a,6,a)].
% 0.90/1.23  Derived: c_HOL_Oord__class_Oless(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_HOL_Oord__class_Oless(A,B,tc_bool).  [resolve(9,a,7,a)].
% 0.90/1.23  Derived: c_HOL_Oord__class_Oless(A,c_Lattices_Oupper__semilattice__class_Osup(B,C,tc_bool),tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool).  [resolve(9,a,8,a)].
% 0.90/1.23  10 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 0.90/1.23  11 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,A) = c_Lattices_Olower__semilattice__class_Oinf(C,B,A) # label(cls_inf__commute_0) # label(axiom).  [assumption].
% 0.90/1.23  12 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A) # label(cls_inf__left__commute_0) # label(axiom).  [assumption].
% 0.90/1.23  13 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A) # label(cls_inf__assoc_0) # label(axiom).  [assumption].
% 0.90/1.23  14 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_HOL_Oord__class_Oless(C,D,A) # label(cls_less__infI2_0) # label(axiom).  [assumption].
% 1.02/1.37  15 -class_Lattices_Olower__semilattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A) | -c_HOL_Oord__class_Oless(B,D,A) # label(cls_less__infI1_0) # label(axiom).  [assumption].
% 1.02/1.37  16 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A) = c_Lattices_Olower__semilattice__class_Oinf(B,C,A) # label(cls_inf__left__idem_0) # label(axiom).  [assumption].
% 1.02/1.37  17 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom).  [assumption].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,B,tc_fun(D,A)).  [resolve(10,a,11,a)].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,tc_fun(E,A)),tc_fun(E,A)) = c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,tc_fun(E,A)),tc_fun(E,A)).  [resolve(10,a,12,a)].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,E,tc_fun(D,A)),tc_fun(D,A)).  [resolve(10,a,13,a)].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_HOL_Oord__class_Oless(C,E,tc_fun(D,A)).  [resolve(10,a,14,a)].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),E,tc_fun(D,A)) | -c_HOL_Oord__class_Oless(B,E,tc_fun(D,A)).  [resolve(10,a,15,a)].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)),tc_fun(D,A)) = c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_fun(D,A)).  [resolve(10,a,16,a)].
% 1.02/1.37  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B.  [resolve(10,a,17,a)].
% 1.02/1.37  18 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 1.02/1.37  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool).  [resolve(18,a,11,a)].
% 1.02/1.37  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(A,C,tc_bool),tc_bool).  [resolve(18,a,12,a)].
% 1.02/1.37  Derived: c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(B,C,tc_bool),tc_bool).  [resolve(18,a,13,a)].
% 1.02/1.37  Derived: c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_HOL_Oord__class_Oless(B,C,tc_bool).  [resolve(18,a,14,a)].
% 1.02/1.37  Derived: c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),C,tc_bool) | -c_HOL_Oord__class_Oless(A,C,tc_bool).  [resolve(18,a,15,a)].
% 1.02/1.37  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool),tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool).  [resolve(18,a,16,a)].
% 1.02/1.37  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A.  [resolve(18,a,17,a)].
% 1.02/1.37  
% 1.02/1.37  ============================== end predicate elimination =============
% 1.02/1.37  
% 1.02/1.37  Auto_denials:  (non-Horn, no changes).
% 1.02/1.37  
% 1.02/1.37  Term ordering decisions:
% 1.02/1.37  Function symbol KB weights:  tc_bool=1. tc_Arrow__Order__Mirabelle_Oalt=1. t_a=1. v_x=1. c_Arrow__Order__Mirabelle_OLin=1. v_L=1. v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1=1. hAPP=1. tc_fun=1. tc_prod=1. c_HOL_Ouminus__class_Ouminus=1. c_CollCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------