TSTP Solution File: SCT003-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SCT003-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n014.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 22:03:22 EDT 2022

% Result   : Timeout 300.11s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SCT003-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.32  % Computer : n014.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Sat Jul  2 06:44:25 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.92/1.18  ============================== Prover9 ===============================
% 0.92/1.18  Prover9 (32) version 2009-11A, November 2009.
% 0.92/1.18  Process 26101 was started by sandbox on n014.cluster.edu,
% 0.92/1.18  Sat Jul  2 06:44:26 2022
% 0.92/1.18  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25948_n014.cluster.edu".
% 0.92/1.18  ============================== end of head ===========================
% 0.92/1.18  
% 0.92/1.18  ============================== INPUT =================================
% 0.92/1.18  
% 0.92/1.18  % Reading from file /tmp/Prover9_25948_n014.cluster.edu
% 0.92/1.18  
% 0.92/1.18  set(prolog_style_variables).
% 0.92/1.18  set(auto2).
% 0.92/1.18      % set(auto2) -> set(auto).
% 0.92/1.18      % set(auto) -> set(auto_inference).
% 0.92/1.18      % set(auto) -> set(auto_setup).
% 0.92/1.18      % set(auto_setup) -> set(predicate_elim).
% 0.92/1.18      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.92/1.18      % set(auto) -> set(auto_limits).
% 0.92/1.18      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.92/1.18      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.92/1.18      % set(auto) -> set(auto_denials).
% 0.92/1.18      % set(auto) -> set(auto_process).
% 0.92/1.18      % set(auto2) -> assign(new_constants, 1).
% 0.92/1.18      % set(auto2) -> assign(fold_denial_max, 3).
% 0.92/1.18      % set(auto2) -> assign(max_weight, "200.000").
% 0.92/1.18      % set(auto2) -> assign(max_hours, 1).
% 0.92/1.18      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.92/1.18      % set(auto2) -> assign(max_seconds, 0).
% 0.92/1.18      % set(auto2) -> assign(max_minutes, 5).
% 0.92/1.18      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.92/1.18      % set(auto2) -> set(sort_initial_sos).
% 0.92/1.18      % set(auto2) -> assign(sos_limit, -1).
% 0.92/1.18      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.92/1.18      % set(auto2) -> assign(max_megs, 400).
% 0.92/1.18      % set(auto2) -> assign(stats, some).
% 0.92/1.18      % set(auto2) -> clear(echo_input).
% 0.92/1.18      % set(auto2) -> set(quiet).
% 0.92/1.18      % set(auto2) -> clear(print_initial_clauses).
% 0.92/1.18      % set(auto2) -> clear(print_given).
% 0.92/1.18  assign(lrs_ticks,-1).
% 0.92/1.18  assign(sos_limit,10000).
% 0.92/1.18  assign(order,kbo).
% 0.92/1.18  set(lex_order_vars).
% 0.92/1.18  clear(print_given).
% 0.92/1.18  
% 0.92/1.18  % formulas(sos).  % not echoed (491 formulas)
% 0.92/1.18  
% 0.92/1.18  ============================== end of input ==========================
% 0.92/1.18  
% 0.92/1.18  % From the command line: assign(max_seconds, 300).
% 0.92/1.18  
% 0.92/1.18  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.92/1.18  
% 0.92/1.18  % Formulas that are not ordinary clauses:
% 0.92/1.18  
% 0.92/1.18  ============================== end of process non-clausal formulas ===
% 0.92/1.18  
% 0.92/1.18  ============================== PROCESS INITIAL CLAUSES ===============
% 0.92/1.18  
% 0.92/1.18  ============================== PREDICATE ELIMINATION =================
% 0.92/1.18  1 class_Lattices_Oupper__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.92/1.18  2 -class_Lattices_Oupper__semilattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,A) = B # label(cls_sup__idem_0) # label(axiom).  [assumption].
% 0.92/1.18  3 -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].
% 0.92/1.18  4 -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].
% 0.92/1.18  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].
% 0.92/1.18  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].
% 0.92/1.18  Derived: -class_Lattices_Olattice(A) | c_Lattices_Oupper__semilattice__class_Osup(B,B,tc_fun(C,A)) = B.  [resolve(1,a,2,a)].
% 0.92/1.18  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,3,a)].
% 0.93/1.20  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,4,a)].
% 0.93/1.20  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)].
% 0.93/1.20  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)].
% 0.93/1.20  7 class_Lattices_Oupper__semilattice(tc_bool) # label(clsarity_bool__Lattices_Oupper__semilattice) # label(axiom).  [assumption].
% 0.93/1.20  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,A,tc_bool) = A.  [resolve(7,a,2,a)].
% 0.93/1.20  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(7,a,3,a)].
% 0.93/1.20  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(7,a,4,a)].
% 0.93/1.20  Derived: c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool) = c_Lattices_Oupper__semilattice__class_Osup(B,A,tc_bool).  [resolve(7,a,5,a)].
% 0.93/1.20  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(7,a,6,a)].
% 0.93/1.20  8 class_Lattices_Olower__semilattice(tc_fun(A,B)) | -class_Lattices_Olattice(B) # label(clsarity_fun__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 0.93/1.20  9 -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].
% 0.93/1.20  10 -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].
% 0.93/1.20  11 -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].
% 0.93/1.20  12 -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].
% 0.93/1.20  13 -class_Lattices_Olower__semilattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,A) = B # label(cls_inf__idem_0) # label(axiom).  [assumption].
% 0.93/1.20  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(8,a,9,a)].
% 0.93/1.20  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(8,a,10,a)].
% 0.93/1.20  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(8,a,11,a)].
% 0.93/1.20  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(8,a,12,a)].
% 1.56/1.84  Derived: -class_Lattices_Olattice(A) | c_Lattices_Olower__semilattice__class_Oinf(B,B,tc_fun(C,A)) = B.  [resolve(8,a,13,a)].
% 1.56/1.84  14 class_Lattices_Olower__semilattice(tc_bool) # label(clsarity_bool__Lattices_Olower__semilattice) # label(axiom).  [assumption].
% 1.56/1.84  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,B,tc_bool) = c_Lattices_Olower__semilattice__class_Oinf(B,A,tc_bool).  [resolve(14,a,9,a)].
% 1.56/1.84  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(14,a,10,a)].
% 1.56/1.84  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(14,a,11,a)].
% 1.56/1.84  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(14,a,12,a)].
% 1.56/1.84  Derived: c_Lattices_Olower__semilattice__class_Oinf(A,A,tc_bool) = A.  [resolve(14,a,13,a)].
% 1.56/1.84  
% 1.56/1.84  ============================== end predicate elimination =============
% 1.56/1.84  
% 1.56/1.84  Auto_denials:  (non-Horn, no changes).
% 1.56/1.84  
% 1.56/1.84  Term ordering decisions:
% 1.56/1.84  Function symbol KB weights:  tc_bool=1. tc_Arrow__Order__Mirabelle_Oalt=1. c_Arrow__Order__Mirabelle_OLin=1. v_L=1. hAPP=1. tc_fun=1. tc_prod=1. c_Transitive__Closure_Ortrancl=1. c_Transitive__Closure_Otrancl=1. c_Relation_OField=1. c_Relation_OId__on=1. c_Collect=1. c_Complete__Lattice_OSup__class_OSup=1. c_Complete__Lattice_OInf__class_OInf=1. c_Set_OPow=1. c_in=1. c_Orderings_Obot__class_Obot=1. c_Relation_OId=1. c_fequal=1. c_HOL_Oundefined=1. c_Lattices_Oupper__semilattice__class_Osup=1. c_Lattices_Olower__semilattice__class_Oinf=1. c_Set_Oinsert=1. c_HOL_Ominus__class_Ominus=1. c_Relation_Oconverse=1. c_COMBK=1. c_FuncSet_Oextensional=1. c_Equiv__Relations_Oquotient=1. c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1=1. c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1=1. c_ATP__Linkup_Osko__Set__XballE__1__1=1. c_ATP__Linkup_Osko__Set__XbexE__1__1=1. c_ATP__Linkup_Osko__Set__XbexI__1__1=1. c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1=1. c_SetInterval_Oord_OatMost=1. c_SetInterval_Oord_OgreaterThan=1. c_SetInterval_Oord_OlessThan=1. c_Pair=1. c_Set_Oimage=1. c_Complete__Lattice_Ocomplete__lattice__class_OSUPR=1. c_Set_Ovimage=1. c_Relation_OImage=1. c_COMBC=1. c_FuncSet_OPi=1. c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1=1. c_Relation_Oinv__image=1. c_ATP__Linkup_Osko__Set__Xbex__Un__1__3=1. c_SetInterval_Oord_OatLeastAtMost=1. c_List_Osko__Equiv__Relations__XquotientE__1__1=1. c_Relation_Orel__comp=1. c_FuncSet_Osko__FuncSet__XPi__I_H__1__1=1. c_FuncSet_Osko__FuncSet__XPi__I__1__1=1. c_FuncSet_Osko__FuncSet__XextensionalityI__1__1=1. c_SetInterval_Oord_OatLeastLessThan=1. c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3=1.
% 1.56/1.84  
% 1.56/1.84  ============================== end of process initial clauses ========
% 1.56/1.84  
% 1.56/1.84  ============================== CLAUSES FOR SEARCH ====================
% 1.56/1.84  
% 1.56/1.84  ============================== end of clauses for search =============
% 1.56/1.84  
% 1.56/1.84  ============================== SEARCH ================================
% 1.56/1.84  
% 1.56/1.84  % Starting search at 0.17 seconds.
% 1.56/1.84  
% 1.56/1.84  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 73 (0.00 of 0.53 sec).
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=69.000, iters=3364
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=59.000, iters=3395
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=56.000, iters=3339
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=55.000, iters=3370
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=54.000, iters=3358
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=53.000, iters=3345
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=52.000, iters=3370
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=51.000, iters=3349
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=50.000, iters=3342
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=49.000, iters=3351
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=48.000, iters=3403
% 1.56/1.84  
% 1.56/1.84  Low Water (keep): wt=43.000, iteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------