TSTP Solution File: SET952+1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : SET952+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %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  : 600s
% DateTime : Tue Jul 19 04:33:39 EDT 2022

% Result   : Timeout 300.05s 300.30s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET952+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jul  9 20:45:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.48/1.05  ============================== Prover9 ===============================
% 0.48/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.48/1.05  Process 28031 was started by sandbox2 on n023.cluster.edu,
% 0.48/1.05  Sat Jul  9 20:45:56 2022
% 0.48/1.05  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_27878_n023.cluster.edu".
% 0.48/1.05  ============================== end of head ===========================
% 0.48/1.05  
% 0.48/1.05  ============================== INPUT =================================
% 0.48/1.05  
% 0.48/1.05  % Reading from file /tmp/Prover9_27878_n023.cluster.edu
% 0.48/1.05  
% 0.48/1.05  set(prolog_style_variables).
% 0.48/1.05  set(auto2).
% 0.48/1.05      % set(auto2) -> set(auto).
% 0.48/1.05      % set(auto) -> set(auto_inference).
% 0.48/1.05      % set(auto) -> set(auto_setup).
% 0.48/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.48/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/1.05      % set(auto) -> set(auto_limits).
% 0.48/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/1.05      % set(auto) -> set(auto_denials).
% 0.48/1.05      % set(auto) -> set(auto_process).
% 0.48/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.48/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.48/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.48/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.48/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.48/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.48/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.48/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.48/1.05      % set(auto2) -> assign(stats, some).
% 0.48/1.05      % set(auto2) -> clear(echo_input).
% 0.48/1.05      % set(auto2) -> set(quiet).
% 0.48/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.48/1.05      % set(auto2) -> clear(print_given).
% 0.48/1.05  assign(lrs_ticks,-1).
% 0.48/1.05  assign(sos_limit,10000).
% 0.48/1.05  assign(order,kbo).
% 0.48/1.05  set(lex_order_vars).
% 0.48/1.05  clear(print_given).
% 0.48/1.05  
% 0.48/1.05  % formulas(sos).  % not echoed (21 formulas)
% 0.48/1.05  
% 0.48/1.05  ============================== end of input ==========================
% 0.48/1.05  
% 0.48/1.05  % From the command line: assign(max_seconds, 300).
% 0.48/1.05  
% 0.48/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/1.05  
% 0.48/1.05  % Formulas that are not ordinary clauses:
% 0.48/1.05  1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  2 (all A all B unordered_pair(A,B) = unordered_pair(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  3 (all A all B set_union2(A,B) = set_union2(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  4 (all A all B (B = powerset(A) <-> (all C (in(C,B) <-> subset(C,A))))) # label(d1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  5 (all A all B all C (C = unordered_pair(A,B) <-> (all D (in(D,C) <-> D = A | D = B)))) # label(d2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  6 (all A all B all C (C = set_union2(A,B) <-> (all D (in(D,C) <-> in(D,A) | in(D,B))))) # label(d2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  7 (all A all B all C (C = cartesian_product2(A,B) <-> (all D (in(D,C) <-> (exists E exists F (in(E,A) & in(F,B) & D = ordered_pair(E,F))))))) # label(d2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  8 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  9 (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].
% 0.48/1.05  10 (all A all B -empty(ordered_pair(A,B))) # label(fc1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  11 (all A all B (-empty(A) -> -empty(set_union2(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  12 (all A all B (-empty(A) -> -empty(set_union2(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  13 (all A all B set_union2(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.48/1.05  14 (all A all B (subset(singleton(A),B) <-> in(A,B))) # label(l2_zfmisc_1) # label(axiom) # label(non_Cputime limit exceeded (core dumped)
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