TSTP Solution File: SEU251+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SEU251+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n024.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 : Tue Jul 19 13:30:22 EDT 2022

% Result   : Timeout 300.01s 300.31s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU251+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 20 05:01:17 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.45/1.03  ============================== Prover9 ===============================
% 0.45/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.03  Process 8218 was started by sandbox on n024.cluster.edu,
% 0.45/1.03  Mon Jun 20 05:01:18 2022
% 0.45/1.03  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_8065_n024.cluster.edu".
% 0.45/1.03  ============================== end of head ===========================
% 0.45/1.03  
% 0.45/1.03  ============================== INPUT =================================
% 0.45/1.03  
% 0.45/1.03  % Reading from file /tmp/Prover9_8065_n024.cluster.edu
% 0.45/1.03  
% 0.45/1.03  set(prolog_style_variables).
% 0.45/1.03  set(auto2).
% 0.45/1.03      % set(auto2) -> set(auto).
% 0.45/1.03      % set(auto) -> set(auto_inference).
% 0.45/1.03      % set(auto) -> set(auto_setup).
% 0.45/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.03      % set(auto) -> set(auto_limits).
% 0.45/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.03      % set(auto) -> set(auto_denials).
% 0.45/1.03      % set(auto) -> set(auto_process).
% 0.45/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.03      % set(auto2) -> assign(stats, some).
% 0.45/1.03      % set(auto2) -> clear(echo_input).
% 0.45/1.03      % set(auto2) -> set(quiet).
% 0.45/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.03      % set(auto2) -> clear(print_given).
% 0.45/1.03  assign(lrs_ticks,-1).
% 0.45/1.03  assign(sos_limit,10000).
% 0.45/1.03  assign(order,kbo).
% 0.45/1.03  set(lex_order_vars).
% 0.45/1.03  clear(print_given).
% 0.45/1.03  
% 0.45/1.03  % formulas(sos).  % not echoed (40 formulas)
% 0.45/1.03  
% 0.45/1.03  ============================== end of input ==========================
% 0.45/1.03  
% 0.45/1.03  % From the command line: assign(max_seconds, 300).
% 0.45/1.03  
% 0.45/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.03  
% 0.45/1.03  % Formulas that are not ordinary clauses:
% 0.45/1.03  1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  2 (all A (empty(A) -> function(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  3 (all A (relation(A) & empty(A) & function(A) -> relation(A) & function(A) & one_to_one(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  4 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  5 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  6 (all A (relation(A) -> (all B all C (C = fiber(A,B) <-> (all D (in(D,C) <-> D != B & in(ordered_pair(D,B),A))))))) # label(d1_wellord1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  7 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  8 (all A all B ordered_pair(A,B) = unordered_pair(unordered_pair(A,B),singleton(A))) # label(d5_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  9 (all A (relation(A) -> (all B relation_restriction(A,B) = set_intersection2(A,cartesian_product2(B,B))))) # label(d6_wellord1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  10 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  11 $T # label(dt_k1_wellord1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  12 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  13 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  14 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  15 (all A all B (relation(A) -> relation(relation_restriction(A,B)))) # label(dt_k2_wellord1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  16 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  17 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  18 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  19 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  20 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  21 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  22 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  23 (exists A (relation(A) & function(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  24 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  25 (exists A (relation(A) & empty(A) & function(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  26 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  27 (exists A (relation(A) & function(A) & one_to_one(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  28 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  29 (all A all B all C (relation(C) -> (in(A,relation_restriction(C,B)) <-> in(A,C) & in(A,cartesian_product2(B,B))))) # label(t16_wellord1) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  30 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  31 (all A set_intersection2(A,empty_set) = empty_set) # label(t2_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  32 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  33 (all A all B (element(A,powerset(B)) <-> subset(A,B))) # label(t3_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  34 (all A all B all C (in(A,B) & element(B,powerset(C)) -> element(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  35 (all A all B all C -(in(A,B) & element(B,powerset(C)) & empty(C))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  36 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  37 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  38 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.45/1.03  39 -(all A all B all C (relation(C) -> subset(fiber(relation_restriction(C,A),B),fiber(C,B)))) # label(t21_wellord1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.45/1.03  
% 0.45/1.03  ============================== end of process non-clausal formulas ===
% 0.45/1.03  
% 0.45/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.03  
% 0.45/1.03  ============================== PREDICATE ELIMINATION =================
% 0.45/1.03  40 -relation(A) | -empty(A) | -function(A) | one_to_one(A) # label(cc2_funct_1) # label(axiom).  [clausify(3)].
% 0.45/1.03  41 function(c1) # label(rc1_funct_1) # label(axiom).  [clausify(23)].
% 0.45/1.03  42 function(c3) # label(rc2_funct_1) # label(axiom).  [clausify(25)].
% 0.45/1.03  43 function(c5) # label(rc3_funct_1) # label(axiom).  [clausify(27)].
% 0.45/1.03  44 -empty(A) | function(A) # label(cc1_funct_1) # label(axiom).  [clausify(2)].
% 0.45/1.03  Derived: -relation(c1) | -empty(c1) | one_to_one(c1).  [resolve(40,c,41,a)].
% 0.45/1.03  Derived: -relation(c3) | -empty(c3) | one_to_one(c3).  [resolve(40,c,42,a)].
% 0.45/1.03  Derived: -relation(c5) | -empty(c5) | one_to_one(c5).  [resolve(40,c,43,a)].
% 0.45/1.03  Derived: -relation(A) | -empty(A) | one_to_one(A) | -empty(A).  [resolve(40,c,44,b)].
% 0.45/1.03  
% 0.45/1.03  ============================== end predicate elimination =============
% 0.45/1.03  
% 0.45/1.03  Auto_denials:  (non-Horn, no changes).
% 0.45/1.03  
% 0.45/1.03  Term ordering decisions:
% 0.45/1.03  Function symbol KB weights:  empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. fiber=1. ordered_pair=1. relation_restriction=1. set_intersection2=1. unordered_pair=1. cartesian_product2=1. f2=1. powerset=1. singleton=1. f3=1. f1=1.
% 0.45/1.03  
% 0.45/1.03  ======================Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------