TSTP Solution File: MGT045-1 by Prover9---1109a

View Problem - Process Solution

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% File     : Prover9---1109a
% Problem  : MGT045-1 : 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 22:23:04 EDT 2022

% Result   : Unsatisfiable 0.45s 1.00s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT045-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 10:44:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/0.99  ============================== Prover9 ===============================
% 0.45/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.45/0.99  Process 20019 was started by sandbox on n027.cluster.edu,
% 0.45/0.99  Thu Jun  9 10:44:13 2022
% 0.45/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19668_n027.cluster.edu".
% 0.45/0.99  ============================== end of head ===========================
% 0.45/0.99  
% 0.45/0.99  ============================== INPUT =================================
% 0.45/0.99  
% 0.45/0.99  % Reading from file /tmp/Prover9_19668_n027.cluster.edu
% 0.45/0.99  
% 0.45/0.99  set(prolog_style_variables).
% 0.45/0.99  set(auto2).
% 0.45/0.99      % set(auto2) -> set(auto).
% 0.45/0.99      % set(auto) -> set(auto_inference).
% 0.45/0.99      % set(auto) -> set(auto_setup).
% 0.45/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.45/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/0.99      % set(auto) -> set(auto_limits).
% 0.45/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/0.99      % set(auto) -> set(auto_denials).
% 0.45/0.99      % set(auto) -> set(auto_process).
% 0.45/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.45/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.45/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.45/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.45/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.45/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.45/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.45/0.99      % set(auto2) -> assign(stats, some).
% 0.45/0.99      % set(auto2) -> clear(echo_input).
% 0.45/0.99      % set(auto2) -> set(quiet).
% 0.45/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.45/0.99      % set(auto2) -> clear(print_given).
% 0.45/0.99  assign(lrs_ticks,-1).
% 0.45/0.99  assign(sos_limit,10000).
% 0.45/0.99  assign(order,kbo).
% 0.45/0.99  set(lex_order_vars).
% 0.45/0.99  clear(print_given).
% 0.45/0.99  
% 0.45/0.99  % formulas(sos).  % not echoed (17 formulas)
% 0.45/0.99  
% 0.45/0.99  ============================== end of input ==========================
% 0.45/0.99  
% 0.45/0.99  % From the command line: assign(max_seconds, 300).
% 0.45/0.99  
% 0.45/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/0.99  
% 0.45/0.99  % Formulas that are not ordinary clauses:
% 0.45/0.99  
% 0.45/0.99  ============================== end of process non-clausal formulas ===
% 0.45/0.99  
% 0.45/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/0.99  
% 0.45/0.99  ============================== PREDICATE ELIMINATION =================
% 0.45/0.99  1 -organization(A) | -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) # label(assumption_6_30) # label(axiom).  [assumption].
% 0.45/0.99  2 organization(sk1) # label(lemma_4_33) # label(negated_conjecture).  [assumption].
% 0.45/0.99  Derived: -greater(external_ties(sk1,A),external_ties(sk1,B)) | greater(position(sk1,A),position(sk1,B)).  [resolve(1,a,2,a)].
% 0.45/0.99  3 -organization(A) | external_ties(A,B) != external_ties(A,C) | position(A,B) = position(A,C) # label(assumption_6_31) # label(axiom).  [assumption].
% 0.45/0.99  Derived: external_ties(sk1,A) != external_ties(sk1,B) | position(sk1,A) = position(sk1,B).  [resolve(3,a,2,a)].
% 0.45/0.99  4 -organization(A) | -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) # label(assumption_8_32) # label(axiom).  [assumption].
% 0.45/0.99  Derived: -greater(age(sk1,A),age(sk1,B)) | greater(external_ties(sk1,A),external_ties(sk1,B)).  [resolve(4,a,2,a)].
% 0.45/0.99  5 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal_2) # label(axiom).  [assumption].
% 0.45/0.99  6 smaller(A,B) | A = B | greater(A,B) # label(meaning_postulate_greater_comparable_11) # label(axiom).  [assumption].
% 0.45/0.99  Derived: smaller_or_equal(A,B) | A = B | greater(A,B).  [resolve(5,a,6,a)].
% 0.45/0.99  7 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom).  [assumption].
% 0.45/0.99  Derived: greater(A,B) | B = A | greater(B,A).  [resolve(7,a,6,a)].
% 0.45/0.99  8 -greater(A,B) | smaller(B,A) # label(definition_smaller_8) # label(axiom).  [assumption].
% 0.45/0.99  Derived: -greater(A,B) | smaller_or_equal(B,A).  [resolve(8,b,5,a)].
% 0.45/0.99  9 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom).  [assumption].
% 0.45/0.99  Derived: -smaller_or_equal(A,B) | A = B | greater(B,A).  [resolve(9,b,7,a)].
% 0.45/0.99  10 -smaller_or_equal(A,B) | A = B | greater(B,A).  [resolve(9,b,7,a)].
% 0.45/1.00  11 A != B | smaller_or_equal(A,B) # label(definition_smaller_or_equal_3) # label(axiom).  [assumption].
% 0.45/1.00  12 smaller_or_equal(A,B) | A = B | greater(A,B).  [resolve(5,a,6,a)].
% 0.45/1.00  13 -greater(A,B) | smaller_or_equal(B,A).  [resolve(8,b,5,a)].
% 0.45/1.00  Derived: A = B | greater(B,A) | A = B | greater(A,B).  [resolve(10,a,12,a)].
% 0.45/1.00  14 -greater_or_equal(A,B) | greater(A,B) | A = B # label(definition_greater_or_equal_4) # label(axiom).  [assumption].
% 0.45/1.00  15 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal_5) # label(axiom).  [assumption].
% 0.45/1.00  16 A != B | greater_or_equal(A,B) # label(definition_greater_or_equal_6) # label(axiom).  [assumption].
% 0.45/1.00  
% 0.45/1.00  ============================== end predicate elimination =============
% 0.45/1.00  
% 0.45/1.00  Auto_denials:  (non-Horn, no changes).
% 0.45/1.00  
% 0.45/1.00  Term ordering decisions:
% 0.45/1.00  Function symbol KB weights:  sk1=1. sk2=1. sk3=1. external_ties=1. age=1. position=1.
% 0.45/1.00  
% 0.45/1.00  ============================== end of process initial clauses ========
% 0.45/1.00  
% 0.45/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.00  
% 0.45/1.00  ============================== end of clauses for search =============
% 0.45/1.00  
% 0.45/1.00  ============================== SEARCH ================================
% 0.45/1.00  
% 0.45/1.00  % Starting search at 0.01 seconds.
% 0.45/1.00  
% 0.45/1.00  ============================== PROOF =================================
% 0.45/1.00  % SZS status Unsatisfiable
% 0.45/1.00  % SZS output start Refutation
% 0.45/1.00  
% 0.45/1.00  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.45/1.00  % Length of proof is 9.
% 0.45/1.00  % Level of proof is 3.
% 0.45/1.00  % Maximum clause weight is 14.000.
% 0.45/1.00  % Given clauses 7.
% 0.45/1.00  
% 0.45/1.00  1 -organization(A) | -greater(external_ties(A,B),external_ties(A,C)) | greater(position(A,B),position(A,C)) # label(assumption_6_30) # label(axiom).  [assumption].
% 0.45/1.00  2 organization(sk1) # label(lemma_4_33) # label(negated_conjecture).  [assumption].
% 0.45/1.00  4 -organization(A) | -greater(age(A,B),age(A,C)) | greater(external_ties(A,B),external_ties(A,C)) # label(assumption_8_32) # label(axiom).  [assumption].
% 0.45/1.00  17 greater(age(sk1,sk3),age(sk1,sk2)) # label(lemma_4_34) # label(negated_conjecture).  [assumption].
% 0.45/1.00  19 -greater(position(sk1,sk3),position(sk1,sk2)) # label(lemma_4_35) # label(negated_conjecture).  [assumption].
% 0.45/1.00  21 -greater(external_ties(sk1,A),external_ties(sk1,B)) | greater(position(sk1,A),position(sk1,B)).  [resolve(1,a,2,a)].
% 0.45/1.00  23 -greater(age(sk1,A),age(sk1,B)) | greater(external_ties(sk1,A),external_ties(sk1,B)).  [resolve(4,a,2,a)].
% 0.45/1.00  30 -greater(external_ties(sk1,sk3),external_ties(sk1,sk2)).  [ur(21,b,19,a)].
% 0.45/1.00  31 $F.  [resolve(23,a,17,a),unit_del(a,30)].
% 0.45/1.00  
% 0.45/1.00  % SZS output end Refutation
% 0.45/1.00  ============================== end of proof ==========================
% 0.45/1.00  
% 0.45/1.00  ============================== STATISTICS ============================
% 0.45/1.00  
% 0.45/1.00  Given=7. Generated=21. Kept=13. proofs=1.
% 0.45/1.00  Usable=7. Sos=6. Demods=0. Limbo=0, Disabled=25. Hints=0.
% 0.45/1.00  Megabytes=0.04.
% 0.45/1.00  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.45/1.00  
% 0.45/1.00  ============================== end of statistics =====================
% 0.45/1.00  
% 0.45/1.00  ============================== end of search =========================
% 0.45/1.00  
% 0.45/1.00  THEOREM PROVED
% 0.45/1.00  % SZS status Unsatisfiable
% 0.45/1.00  
% 0.45/1.00  Exiting with 1 proof.
% 0.45/1.00  
% 0.45/1.00  Process 20019 exit (max_proofs) Thu Jun  9 10:44:13 2022
% 0.45/1.00  Prover9 interrupted
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