TSTP Solution File: MGT054-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MGT054-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n020.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 22:23:08 EDT 2022

% Result   : Unsatisfiable 0.68s 0.99s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT054-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.33  % Computer : n020.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 12:46:06 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.68/0.98  ============================== Prover9 ===============================
% 0.68/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.68/0.98  Process 20134 was started by sandbox on n020.cluster.edu,
% 0.68/0.98  Thu Jun  9 12:46:07 2022
% 0.68/0.98  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19977_n020.cluster.edu".
% 0.68/0.98  ============================== end of head ===========================
% 0.68/0.98  
% 0.68/0.98  ============================== INPUT =================================
% 0.68/0.98  
% 0.68/0.98  % Reading from file /tmp/Prover9_19977_n020.cluster.edu
% 0.68/0.98  
% 0.68/0.98  set(prolog_style_variables).
% 0.68/0.98  set(auto2).
% 0.68/0.98      % set(auto2) -> set(auto).
% 0.68/0.98      % set(auto) -> set(auto_inference).
% 0.68/0.98      % set(auto) -> set(auto_setup).
% 0.68/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.68/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.68/0.98      % set(auto) -> set(auto_limits).
% 0.68/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.68/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.68/0.98      % set(auto) -> set(auto_denials).
% 0.68/0.98      % set(auto) -> set(auto_process).
% 0.68/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.68/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.68/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.68/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.68/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.68/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.68/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.68/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.68/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.68/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.68/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.68/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.68/0.98      % set(auto2) -> assign(stats, some).
% 0.68/0.98      % set(auto2) -> clear(echo_input).
% 0.68/0.98      % set(auto2) -> set(quiet).
% 0.68/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.68/0.98      % set(auto2) -> clear(print_given).
% 0.68/0.98  assign(lrs_ticks,-1).
% 0.68/0.98  assign(sos_limit,10000).
% 0.68/0.98  assign(order,kbo).
% 0.68/0.98  set(lex_order_vars).
% 0.68/0.98  clear(print_given).
% 0.68/0.98  
% 0.68/0.98  % formulas(sos).  % not echoed (32 formulas)
% 0.68/0.98  
% 0.68/0.98  ============================== end of input ==========================
% 0.68/0.98  
% 0.68/0.98  % From the command line: assign(max_seconds, 300).
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.68/0.98  
% 0.68/0.98  % Formulas that are not ordinary clauses:
% 0.68/0.98  
% 0.68/0.98  ============================== end of process non-clausal formulas ===
% 0.68/0.98  
% 0.68/0.98  ============================== PROCESS INITIAL CLAUSES ===============
% 0.68/0.98  
% 0.68/0.98  ============================== PREDICATE ELIMINATION =================
% 0.68/0.98  1 -organization(A) | has_endowment(A) | -has_immunity(A,B) # label(assumption_1_38) # label(axiom).  [assumption].
% 0.68/0.98  2 organization(sk1) # label(theorem_5_52) # label(negated_conjecture).  [assumption].
% 0.68/0.98  3 -dissimilar(A,B,C) | organization(A) # label(definition_2_40) # label(axiom).  [assumption].
% 0.68/0.98  Derived: has_endowment(sk1) | -has_immunity(sk1,A).  [resolve(1,a,2,a)].
% 0.68/0.98  Derived: has_endowment(A) | -has_immunity(A,B) | -dissimilar(A,C,D).  [resolve(1,a,3,b)].
% 0.68/0.98  4 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13_47) # label(axiom).  [assumption].
% 0.68/0.98  Derived: age(sk1,A) != zero | is_aligned(sk1,A).  [resolve(4,a,2,a)].
% 0.68/0.98  Derived: age(A,B) != zero | is_aligned(A,B) | -dissimilar(A,C,D).  [resolve(4,a,3,b)].
% 0.68/0.98  5 -organization(A) | -is_aligned(A,B) | is_aligned(A,B) | dissimilar(A,B,C) # label(definition_2_43) # label(axiom).  [assumption].
% 0.68/0.98  6 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2_44) # label(axiom).  [assumption].
% 0.68/0.98  Derived: -is_aligned(sk1,A) | is_aligned(sk1,B) | dissimilar(sk1,A,B).  [resolve(6,a,2,a)].
% 0.68/0.98  Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) | -dissimilar(A,D,E).  [resolve(6,a,3,b)].
% 0.68/0.98  7 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,C,B) # label(definition_2_45) # label(axiom).  [assumption].
% 0.68/0.98  Derived: -is_aligned(sk1,A) | is_aligned(sk1,B) | dissimilar(sk1,B,A).  [resolve(7,a,2,a)].
% 0.68/0.98  Derived: -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,C,B) | -dissimilar(A,D,E).  [resolve(7,a,3,b)].
% 0.68/0.98  8 -organization(A) | -is_aligned(A,B) | is_aligned(A,B) | dissimilar(A,C,B) # label(definition_2_46) # label(axiom).  [assumption].
% 0.68/0.98  9 -organization(A) | -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) # label(assumption_3_39) # label(axiom).  [assumption].
% 0.68/0.99  Derived: -has_immunity(sk1,A) | has_immunity(sk1,B) | greater(hazard_of_mortality(sk1,B),hazard_of_mortality(sk1,A)).  [resolve(9,a,2,a)].
% 0.68/0.99  Derived: -has_immunity(A,B) | has_immunity(A,C) | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) | -dissimilar(A,D,E).  [resolve(9,a,3,b)].
% 0.68/0.99  10 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) # label(assumption_14_48) # label(axiom).  [assumption].
% 0.68/0.99  Derived: -is_aligned(sk1,A) | is_aligned(sk1,B) | greater(capability(sk1,A),capability(sk1,B)).  [resolve(10,a,2,a)].
% 0.68/0.99  Derived: -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) | -dissimilar(A,D,E).  [resolve(10,a,3,b)].
% 0.68/0.99  11 -organization(A) | age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) # label(assumption_15_49) # label(axiom).  [assumption].
% 0.68/0.99  Derived: age(sk1,A) != zero | -greater(age(sk1,B),sigma) | dissimilar(sk1,A,B).  [resolve(11,a,2,a)].
% 0.68/0.99  Derived: age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) | -dissimilar(A,D,E).  [resolve(11,a,3,b)].
% 0.68/0.99  12 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15_50) # label(axiom).  [assumption].
% 0.68/0.99  Derived: age(sk1,A) != zero | -dissimilar(sk1,A,B) | greater(age(sk1,B),sigma).  [resolve(12,a,2,a)].
% 0.68/0.99  Derived: age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E).  [resolve(12,a,3,b)].
% 0.68/0.99  13 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_16_51) # label(axiom).  [assumption].
% 0.68/0.99  Derived: has_immunity(sk1,A) | has_immunity(sk1,B) | -greater(capability(sk1,B),capability(sk1,A)) | greater(hazard_of_mortality(sk1,A),hazard_of_mortality(sk1,B)).  [resolve(13,a,2,a)].
% 0.68/0.99  Derived: has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) | -dissimilar(A,D,E).  [resolve(13,a,3,b)].
% 0.68/0.99  14 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom).  [assumption].
% 0.68/0.99  15 smaller_or_equal(age(sk1,sk3),sigma) # label(theorem_5_55) # label(negated_conjecture).  [assumption].
% 0.68/0.99  16 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal_2) # label(axiom).  [assumption].
% 0.68/0.99  17 A != B | smaller_or_equal(A,B) # label(definition_smaller_or_equal_3) # label(axiom).  [assumption].
% 0.68/0.99  Derived: smaller(age(sk1,sk3),sigma) | age(sk1,sk3) = sigma.  [resolve(14,a,15,a)].
% 0.68/0.99  18 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom).  [assumption].
% 0.68/0.99  19 smaller(A,B) | A = B | greater(A,B) # label(meaning_postulate_greater_comparable_11) # label(axiom).  [assumption].
% 0.68/0.99  Derived: greater(A,B) | B = A | greater(B,A).  [resolve(18,a,19,a)].
% 0.68/0.99  20 -greater(A,B) | smaller(B,A) # label(definition_smaller_8) # label(axiom).  [assumption].
% 0.68/0.99  21 smaller(age(sk1,sk3),sigma) | age(sk1,sk3) = sigma.  [resolve(14,a,15,a)].
% 0.68/0.99  Derived: age(sk1,sk3) = sigma | greater(sigma,age(sk1,sk3)).  [resolve(21,a,18,a)].
% 0.68/0.99  22 -greater_or_equal(A,B) | greater(A,B) | A = B # label(definition_greater_or_equal_4) # label(axiom).  [assumption].
% 0.68/0.99  23 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal_5) # label(axiom).  [assumption].
% 0.68/0.99  24 A != B | greater_or_equal(A,B) # label(definition_greater_or_equal_6) # label(axiom).  [assumption].
% 0.68/0.99  
% 0.68/0.99  ============================== end predicate elimination =============
% 0.68/0.99  
% 0.68/0.99  Auto_denials:  (non-Horn, no changes).
% 0.68/0.99  
% 0.68/0.99  Term ordering decisions:
% 0.68/0.99  Function symbol KB weights:  sk1=1. sigma=1. zero=1. sk3=1. sk2=1. sk4=1. age=1. capability=1. hazard_of_mortality=1.
% 0.68/0.99  
% 0.68/0.99  ============================== end of process initial clauses ========
% 0.68/0.99  
% 0.68/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.68/0.99  
% 0.68/0.99  ============================== end of clauses for search =============
% 0.68/0.99  
% 0.68/0.99  ============================== SEARCH ================================
% 0.68/0.99  
% 0.68/0.99  % Starting search at 0.02 seconds.
% 0.68/0.99  
% 0.68/0.99  ============================== PROOF =================================
% 0.68/0.99  % SZS status Unsatisfiable
% 0.68/0.99  % SZS output start Refutation
% 0.68/0.99  
% 0.68/0.99  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.68/0.99  % Length of proof is 43.
% 0.68/0.99  % Level of proof is 8.
% 0.68/0.99  % Maximum clause weight is 18.000.
% 0.68/0.99  % Given clauses 52.
% 0.68/0.99  
% 0.68/0.99  1 -organization(A) | has_endowment(A) | -has_immunity(A,B) # label(assumption_1_38) # label(axiom).  [assumption].
% 0.68/0.99  2 organization(sk1) # label(theorem_5_52) # label(negated_conjecture).  [assumption].
% 0.68/0.99  3 -dissimilar(A,B,C) | organization(A) # label(definition_2_40) # label(axiom).  [assumption].
% 0.68/0.99  4 -organization(A) | age(A,B) != zero | is_aligned(A,B) # label(assumption_13_47) # label(axiom).  [assumption].
% 0.68/0.99  6 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | dissimilar(A,B,C) # label(definition_2_44) # label(axiom).  [assumption].
% 0.68/0.99  10 -organization(A) | -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) # label(assumption_14_48) # label(axiom).  [assumption].
% 0.68/0.99  11 -organization(A) | age(A,B) != zero | -greater(age(A,C),sigma) | dissimilar(A,B,C) # label(assumption_15_49) # label(axiom).  [assumption].
% 0.68/0.99  12 -organization(A) | age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) # label(assumption_15_50) # label(axiom).  [assumption].
% 0.68/0.99  13 -organization(A) | has_immunity(A,B) | has_immunity(A,C) | -greater(capability(A,C),capability(A,B)) | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) # label(assumption_16_51) # label(axiom).  [assumption].
% 0.68/0.99  14 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom).  [assumption].
% 0.68/0.99  15 smaller_or_equal(age(sk1,sk3),sigma) # label(theorem_5_55) # label(negated_conjecture).  [assumption].
% 0.68/0.99  18 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom).  [assumption].
% 0.68/0.99  21 smaller(age(sk1,sk3),sigma) | age(sk1,sk3) = sigma.  [resolve(14,a,15,a)].
% 0.68/0.99  26 age(sk1,sk2) = zero # label(theorem_5_54) # label(negated_conjecture).  [assumption].
% 0.68/0.99  27 greater(age(sk1,sk4),sigma) # label(theorem_5_56) # label(negated_conjecture).  [assumption].
% 0.68/0.99  28 -has_endowment(sk1) # label(theorem_5_53) # label(negated_conjecture).  [assumption].
% 0.68/0.99  29 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict_9) # label(axiom).  [assumption].
% 0.68/0.99  30 -greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)) # label(theorem_5_58) # label(negated_conjecture).  [assumption].
% 0.68/0.99  31 -dissimilar(A,B,C) | -is_aligned(A,B) | -is_aligned(A,C) # label(definition_2_42) # label(axiom).  [assumption].
% 0.68/0.99  34 has_endowment(sk1) | -has_immunity(sk1,A).  [resolve(1,a,2,a)].
% 0.68/0.99  35 -has_immunity(sk1,A).  [copy(34),unit_del(a,28)].
% 0.68/0.99  37 age(sk1,A) != zero | is_aligned(sk1,A).  [resolve(4,a,2,a)].
% 0.68/0.99  39 -is_aligned(sk1,A) | is_aligned(sk1,B) | dissimilar(sk1,A,B).  [resolve(6,a,2,a)].
% 0.68/0.99  46 -is_aligned(A,B) | is_aligned(A,C) | greater(capability(A,B),capability(A,C)) | -dissimilar(A,D,E).  [resolve(10,a,3,b)].
% 0.68/0.99  47 age(sk1,A) != zero | -greater(age(sk1,B),sigma) | dissimilar(sk1,A,B).  [resolve(11,a,2,a)].
% 0.68/0.99  50 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma) | -dissimilar(A,D,E).  [resolve(12,a,3,b)].
% 0.68/0.99  51 has_immunity(sk1,A) | has_immunity(sk1,B) | -greater(capability(sk1,B),capability(sk1,A)) | greater(hazard_of_mortality(sk1,A),hazard_of_mortality(sk1,B)).  [resolve(13,a,2,a)].
% 0.68/0.99  52 -greater(capability(sk1,A),capability(sk1,B)) | greater(hazard_of_mortality(sk1,B),hazard_of_mortality(sk1,A)).  [copy(51),unit_del(a,35),unit_del(b,35)].
% 0.68/0.99  55 age(sk1,sk3) = sigma | greater(sigma,age(sk1,sk3)).  [resolve(21,a,18,a)].
% 0.68/0.99  56 -greater(A,A).  [factor(29,a,b)].
% 0.68/0.99  59 age(A,B) != zero | -dissimilar(A,B,C) | greater(age(A,C),sigma).  [factor(50,b,d)].
% 0.68/0.99  66 is_aligned(sk1,sk2).  [resolve(37,a,26,a)].
% 0.68/0.99  67 age(sk1,A) != zero | dissimilar(sk1,A,sk4).  [resolve(47,b,27,a)].
% 0.68/0.99  68 -greater(capability(sk1,sk3),capability(sk1,sk4)).  [ur(52,b,30,a)].
% 0.68/0.99  79 age(sk1,sk3) = sigma | -greater(age(sk1,sk3),sigma).  [resolve(55,b,29,b)].
% 0.68/0.99  85 is_aligned(sk1,A) | dissimilar(sk1,sk2,A).  [resolve(66,a,39,a)].
% 0.68/0.99  94 is_aligned(sk1,A) | greater(age(sk1,A),sigma).  [resolve(85,b,59,b),rewrite([26(5)]),xx(b)].
% 0.68/0.99  97 dissimilar(sk1,sk2,sk4).  [resolve(67,a,26,a)].
% 0.68/0.99  98 -is_aligned(sk1,sk4).  [resolve(97,a,31,a),unit_del(a,66)].
% 0.68/0.99  111 -is_aligned(sk1,sk3).  [ur(46,b,98,a,c,68,a,d,97,a)].
% 0.68/0.99  113 greater(age(sk1,sk3),sigma).  [resolve(111,a,94,a)].
% 0.68/0.99  118 age(sk1,sk3) = sigma.  [back_unit_del(79),unit_del(b,113)].
% 0.68/0.99  120 $F.  [back_rewrite(113),rewrite([118(3)]),unit_del(a,56)].
% 0.68/0.99  
% 0.68/0.99  % SZS output end Refutation
% 0.68/0.99  ============================== end of proof ==========================
% 0.68/0.99  
% 0.68/0.99  ============================== STATISTICS ============================
% 0.68/0.99  
% 0.68/0.99  Given=52. Generated=233. Kept=92. proofs=1.
% 0.68/0.99  Usable=51. Sos=29. Demods=2. Limbo=2, Disabled=63. Hints=0.
% 0.68/0.99  Megabytes=0.13.
% 0.68/0.99  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.68/0.99  
% 0.68/0.99  ============================== end of statistics =====================
% 0.68/0.99  
% 0.68/0.99  ============================== end of search =========================
% 0.68/0.99  
% 0.68/0.99  THEOREM PROVED
% 0.68/0.99  % SZS status Unsatisfiable
% 0.68/0.99  
% 0.68/0.99  Exiting with 1 proof.
% 0.68/0.99  
% 0.68/0.99  Process 20134 exit (max_proofs) Thu Jun  9 12:46:07 2022
% 0.68/0.99  Prover9 interrupted
%------------------------------------------------------------------------------