TSTP Solution File: SET971+1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n007.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 04:33:46 EDT 2022

% Result   : Timeout 300.05s 300.33s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET971+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 08:07:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.70/0.97  ============================== Prover9 ===============================
% 0.70/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.70/0.97  Process 9580 was started by sandbox on n007.cluster.edu,
% 0.70/0.97  Sun Jul 10 08:07:47 2022
% 0.70/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_9427_n007.cluster.edu".
% 0.70/0.97  ============================== end of head ===========================
% 0.70/0.97  
% 0.70/0.97  ============================== INPUT =================================
% 0.70/0.97  
% 0.70/0.97  % Reading from file /tmp/Prover9_9427_n007.cluster.edu
% 0.70/0.97  
% 0.70/0.97  set(prolog_style_variables).
% 0.70/0.97  set(auto2).
% 0.70/0.97      % set(auto2) -> set(auto).
% 0.70/0.97      % set(auto) -> set(auto_inference).
% 0.70/0.97      % set(auto) -> set(auto_setup).
% 0.70/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.70/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/0.97      % set(auto) -> set(auto_limits).
% 0.70/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/0.97      % set(auto) -> set(auto_denials).
% 0.70/0.97      % set(auto) -> set(auto_process).
% 0.70/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.70/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.70/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.70/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.70/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.70/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.70/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.70/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.70/0.97      % set(auto2) -> assign(stats, some).
% 0.70/0.97      % set(auto2) -> clear(echo_input).
% 0.70/0.97      % set(auto2) -> set(quiet).
% 0.70/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.70/0.97      % set(auto2) -> clear(print_given).
% 0.70/0.97  assign(lrs_ticks,-1).
% 0.70/0.97  assign(sos_limit,10000).
% 0.70/0.97  assign(order,kbo).
% 0.70/0.97  set(lex_order_vars).
% 0.70/0.97  clear(print_given).
% 0.70/0.97  
% 0.70/0.97  % formulas(sos).  % not echoed (8 formulas)
% 0.70/0.97  
% 0.70/0.97  ============================== end of input ==========================
% 0.70/0.97  
% 0.70/0.97  % From the command line: assign(max_seconds, 300).
% 0.70/0.97  
% 0.70/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/0.97  
% 0.70/0.97  % Formulas that are not ordinary clauses:
% 0.70/0.97  1 (all A all B set_intersection2(A,B) = set_intersection2(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  2 (all A all B set_intersection2(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  3 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  4 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  5 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  6 (all A all B all C all D cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))) # label(t123_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  7 (all A all B (subset(A,B) -> set_intersection2(A,B) = A)) # label(t28_xboole_1) # label(axiom) # label(non_clause).  [assumption].
% 0.70/0.97  8 -(all A all B all C all D (subset(A,B) & subset(C,D) -> set_intersection2(cartesian_product2(A,D),cartesian_product2(B,C)) = cartesian_product2(A,C))) # label(t124_zfmisc_1) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.70/0.97  
% 0.70/0.97  ============================== end of process non-clausal formulas ===
% 0.70/0.97  
% 0.70/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.70/0.97  
% 0.70/0.97  ============================== PREDICATE ELIMINATION =================
% 0.70/0.97  9 -subset(A,B) | set_intersection2(A,B) = A # label(t28_xboole_1) # label(axiom).  [clausify(7)].
% 0.70/0.97  10 subset(A,A) # label(reflexivity_r1_tarski) # label(axiom).  [clausify(5)].
% 0.70/0.97  11 subset(c3,c4) # label(t124_zfmisc_1) # label(negated_conjecture).  [clausify(8)].
% 0.70/0.97  12 subset(c5,c6) # label(t124_zfmisc_1) # label(negated_conjecture).  [clausify(8)].
% 0.70/0.97  Derived: set_intersection2(A,A) = A.  [resolve(9,a,10,a)].
% 0.70/0.97  Derived: set_intersection2(c3,c4) = c3.  [resolve(9,a,11,a)].
% 0.70/0.97  Derived: set_intersection2(c5,c6) = c5.  [resolve(9,a,12,a)].
% 0.70/0.97  
% 0.70/0.97  ============================== eCputime limit exceeded (core dumped)
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