TSTP Solution File: MGT044-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MGT044-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 : Sun Jul 17 22:23:03 EDT 2022

% Result   : Unsatisfiable 0.40s 0.97s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : MGT044-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 11:01:27 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.40/0.96  ============================== Prover9 ===============================
% 0.40/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.40/0.96  Process 23912 was started by sandbox2 on n027.cluster.edu,
% 0.40/0.96  Thu Jun  9 11:01:28 2022
% 0.40/0.96  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23759_n027.cluster.edu".
% 0.40/0.96  ============================== end of head ===========================
% 0.40/0.96  
% 0.40/0.96  ============================== INPUT =================================
% 0.40/0.96  
% 0.40/0.96  % Reading from file /tmp/Prover9_23759_n027.cluster.edu
% 0.40/0.96  
% 0.40/0.96  set(prolog_style_variables).
% 0.40/0.96  set(auto2).
% 0.40/0.96      % set(auto2) -> set(auto).
% 0.40/0.96      % set(auto) -> set(auto_inference).
% 0.40/0.96      % set(auto) -> set(auto_setup).
% 0.40/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.40/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.40/0.96      % set(auto) -> set(auto_limits).
% 0.40/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.40/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.40/0.96      % set(auto) -> set(auto_denials).
% 0.40/0.96      % set(auto) -> set(auto_process).
% 0.40/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.40/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.40/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.40/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.40/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.40/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.40/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.40/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.40/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.40/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.40/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.40/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.40/0.96      % set(auto2) -> assign(stats, some).
% 0.40/0.96      % set(auto2) -> clear(echo_input).
% 0.40/0.96      % set(auto2) -> set(quiet).
% 0.40/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.40/0.96      % set(auto2) -> clear(print_given).
% 0.40/0.96  assign(lrs_ticks,-1).
% 0.40/0.96  assign(sos_limit,10000).
% 0.40/0.96  assign(order,kbo).
% 0.40/0.96  set(lex_order_vars).
% 0.40/0.96  clear(print_given).
% 0.40/0.96  
% 0.40/0.96  % formulas(sos).  % not echoed (19 formulas)
% 0.40/0.96  
% 0.40/0.96  ============================== end of input ==========================
% 0.40/0.96  
% 0.40/0.96  % From the command line: assign(max_seconds, 300).
% 0.40/0.96  
% 0.40/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.40/0.96  
% 0.40/0.96  % Formulas that are not ordinary clauses:
% 0.40/0.96  
% 0.40/0.96  ============================== end of process non-clausal formulas ===
% 0.40/0.96  
% 0.40/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.40/0.96  
% 0.40/0.96  ============================== PREDICATE ELIMINATION =================
% 0.40/0.96  1 -organization(A) | internal_friction(A,B) = internal_friction(A,C) # label(assumption_9_36) # label(axiom).  [assumption].
% 0.40/0.96  2 organization(sk1) # label(lemma_3_37) # label(negated_conjecture).  [assumption].
% 0.40/0.96  Derived: internal_friction(sk1,A) = internal_friction(sk1,B).  [resolve(1,a,2,a)].
% 0.40/0.96  3 -organization(A) | -greater(age(A,B),age(A,C)) | greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) # label(assumption_7_35) # label(axiom).  [assumption].
% 0.40/0.96  Derived: -greater(age(sk1,A),age(sk1,B)) | greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)).  [resolve(3,a,2,a)].
% 0.40/0.96  4 -organization(A) | -greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | -smaller_or_equal(internal_friction(A,B),internal_friction(A,C)) | greater(capability(A,B),capability(A,C)) # label(assumption_5_32) # label(axiom).  [assumption].
% 0.40/0.96  Derived: -greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B)) | greater(capability(sk1,A),capability(sk1,B)).  [resolve(4,a,2,a)].
% 0.40/0.96  5 -organization(A) | -smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | -greater(internal_friction(A,B),internal_friction(A,C)) | smaller(capability(A,B),capability(A,C)) # label(assumption_5_33) # label(axiom).  [assumption].
% 0.40/0.96  Derived: -smaller_or_equal(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -greater(internal_friction(sk1,A),internal_friction(sk1,B)) | smaller(capability(sk1,A),capability(sk1,B)).  [resolve(5,a,2,a)].
% 0.40/0.96  6 -organization(A) | stock_of_knowledge(A,B) != stock_of_knowledge(A,C) | internal_friction(A,B) != internal_friction(A,C) | capability(A,B) = capability(A,C) # label(assumption_5_34) # label(axiom).  [assumption].
% 0.40/0.96  Derived: stock_of_knowledge(sk1,A) != stock_of_knowledge(sk1,B) | internal_friction(sk1,A) != internal_friction(sk1,B) | capability(sk1,A) = capability(sk1,B).  [resolve(6,a,2,a)].
% 0.40/0.97  7 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal_2) # label(axiom).  [assumption].
% 0.40/0.97  8 smaller(A,B) | A = B | greater(A,B) # label(meaning_postulate_greater_comparable_11) # label(axiom).  [assumption].
% 0.40/0.97  Derived: smaller_or_equal(A,B) | A = B | greater(A,B).  [resolve(7,a,8,a)].
% 0.40/0.97  9 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom).  [assumption].
% 0.40/0.97  Derived: greater(A,B) | B = A | greater(B,A).  [resolve(9,a,8,a)].
% 0.40/0.97  10 -greater(A,B) | smaller(B,A) # label(definition_smaller_8) # label(axiom).  [assumption].
% 0.40/0.97  Derived: -greater(A,B) | smaller_or_equal(B,A).  [resolve(10,b,7,a)].
% 0.40/0.97  11 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom).  [assumption].
% 0.40/0.97  Derived: -smaller_or_equal(A,B) | A = B | greater(B,A).  [resolve(11,b,9,a)].
% 0.40/0.97  12 -smaller_or_equal(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -greater(internal_friction(sk1,A),internal_friction(sk1,B)) | smaller(capability(sk1,A),capability(sk1,B)).  [resolve(5,a,2,a)].
% 0.40/0.97  Derived: -smaller_or_equal(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -greater(internal_friction(sk1,A),internal_friction(sk1,B)) | smaller_or_equal(capability(sk1,A),capability(sk1,B)).  [resolve(12,c,7,a)].
% 0.40/0.97  Derived: -smaller_or_equal(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -greater(internal_friction(sk1,A),internal_friction(sk1,B)) | greater(capability(sk1,B),capability(sk1,A)).  [resolve(12,c,9,a)].
% 0.40/0.97  13 -greater_or_equal(A,B) | greater(A,B) | A = B # label(definition_greater_or_equal_4) # label(axiom).  [assumption].
% 0.40/0.97  14 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal_5) # label(axiom).  [assumption].
% 0.40/0.97  15 A != B | greater_or_equal(A,B) # label(definition_greater_or_equal_6) # label(axiom).  [assumption].
% 0.40/0.97  
% 0.40/0.97  ============================== end predicate elimination =============
% 0.40/0.97  
% 0.40/0.97  Auto_denials:  (non-Horn, no changes).
% 0.40/0.97  
% 0.40/0.97  Term ordering decisions:
% 0.40/0.97  Function symbol KB weights:  sk1=1. sk2=1. sk3=1. internal_friction=1. stock_of_knowledge=1. capability=1. age=1.
% 0.40/0.97  
% 0.40/0.97  ============================== end of process initial clauses ========
% 0.40/0.97  
% 0.40/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.40/0.97  
% 0.40/0.97  ============================== end of clauses for search =============
% 0.40/0.97  
% 0.40/0.97  ============================== SEARCH ================================
% 0.40/0.97  
% 0.40/0.97  % Starting search at 0.01 seconds.
% 0.40/0.97  
% 0.40/0.97  ============================== PROOF =================================
% 0.40/0.97  % SZS status Unsatisfiable
% 0.40/0.97  % SZS output start Refutation
% 0.40/0.97  
% 0.40/0.97  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.40/0.97  % Length of proof is 16.
% 0.40/0.97  % Level of proof is 5.
% 0.40/0.97  % Maximum clause weight is 21.000.
% 0.40/0.97  % Given clauses 19.
% 0.40/0.97  
% 0.40/0.97  1 -organization(A) | internal_friction(A,B) = internal_friction(A,C) # label(assumption_9_36) # label(axiom).  [assumption].
% 0.40/0.97  2 organization(sk1) # label(lemma_3_37) # label(negated_conjecture).  [assumption].
% 0.40/0.97  3 -organization(A) | -greater(age(A,B),age(A,C)) | greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) # label(assumption_7_35) # label(axiom).  [assumption].
% 0.40/0.97  4 -organization(A) | -greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) | -smaller_or_equal(internal_friction(A,B),internal_friction(A,C)) | greater(capability(A,B),capability(A,C)) # label(assumption_5_32) # label(axiom).  [assumption].
% 0.40/0.97  16 greater(age(sk1,sk3),age(sk1,sk2)) # label(lemma_3_38) # label(negated_conjecture).  [assumption].
% 0.40/0.97  18 -greater(capability(sk1,sk3),capability(sk1,sk2)) # label(lemma_3_39) # label(negated_conjecture).  [assumption].
% 0.40/0.97  19 A != B | smaller_or_equal(A,B) # label(definition_smaller_or_equal_3) # label(axiom).  [assumption].
% 0.40/0.97  21 internal_friction(sk1,A) = internal_friction(sk1,B).  [resolve(1,a,2,a)].
% 0.40/0.97  22 -greater(age(sk1,A),age(sk1,B)) | greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)).  [resolve(3,a,2,a)].
% 0.40/0.97  23 -greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B)) | greater(capability(sk1,A),capability(sk1,B)).  [resolve(4,a,2,a)].
% 0.40/0.97  33 internal_friction(sk1,A) = c_0.  [new_symbol(21)].
% 0.40/0.97  34 -greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | -smaller_or_equal(c_0,c_0) | greater(capability(sk1,A),capability(sk1,B)).  [back_rewrite(23),rewrite([33(7),33(8)])].
% 0.40/0.97  36 smaller_or_equal(A,A).  [xx_res(19,a)].
% 0.40/0.97  37 -greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) | greater(capability(sk1,A),capability(sk1,B)).  [back_unit_del(34),unit_del(b,36)].
% 0.40/0.97  40 greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)).  [resolve(22,a,16,a)].
% 0.40/0.97  54 $F.  [resolve(37,a,40,a),unit_del(a,18)].
% 0.40/0.97  
% 0.40/0.97  % SZS output end Refutation
% 0.40/0.97  ============================== end of proof ==========================
% 0.40/0.97  
% 0.40/0.97  ============================== STATISTICS ============================
% 0.40/0.97  
% 0.40/0.97  Given=19. Generated=76. Kept=37. proofs=1.
% 0.40/0.97  Usable=19. Sos=13. Demods=1. Limbo=0, Disabled=35. Hints=0.
% 0.40/0.97  Megabytes=0.07.
% 0.40/0.97  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.40/0.97  
% 0.40/0.97  ============================== end of statistics =====================
% 0.40/0.97  
% 0.40/0.97  ============================== end of search =========================
% 0.40/0.97  
% 0.40/0.97  THEOREM PROVED
% 0.40/0.97  % SZS status Unsatisfiable
% 0.40/0.97  
% 0.40/0.97  Exiting with 1 proof.
% 0.40/0.97  
% 0.40/0.97  Process 23912 exit (max_proofs) Thu Jun  9 11:01:28 2022
% 0.40/0.97  Prover9 interrupted
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