TSTP Solution File: MGT060-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MGT060-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n019.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 22:23:10 EDT 2022

% Result   : Unsatisfiable 150.54s 150.84s
% Output   : Refutation 150.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16  % Problem  : MGT060-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.17  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.38  % Computer : n019.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8042.1875MB
% 0.13/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 600
% 0.13/0.38  % DateTime : Thu Jun  9 09:29:55 EDT 2022
% 0.13/0.39  % CPUTime  : 
% 0.77/1.06  ============================== Prover9 ===============================
% 0.77/1.06  Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.06  Process 16072 was started by sandbox2 on n019.cluster.edu,
% 0.77/1.06  Thu Jun  9 09:29:56 2022
% 0.77/1.06  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_15918_n019.cluster.edu".
% 0.77/1.06  ============================== end of head ===========================
% 0.77/1.06  
% 0.77/1.06  ============================== INPUT =================================
% 0.77/1.06  
% 0.77/1.06  % Reading from file /tmp/Prover9_15918_n019.cluster.edu
% 0.77/1.06  
% 0.77/1.06  set(prolog_style_variables).
% 0.77/1.06  set(auto2).
% 0.77/1.06      % set(auto2) -> set(auto).
% 0.77/1.06      % set(auto) -> set(auto_inference).
% 0.77/1.06      % set(auto) -> set(auto_setup).
% 0.77/1.06      % set(auto_setup) -> set(predicate_elim).
% 0.77/1.06      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.06      % set(auto) -> set(auto_limits).
% 0.77/1.06      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.06      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.06      % set(auto) -> set(auto_denials).
% 0.77/1.06      % set(auto) -> set(auto_process).
% 0.77/1.06      % set(auto2) -> assign(new_constants, 1).
% 0.77/1.06      % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.06      % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.06      % set(auto2) -> assign(max_hours, 1).
% 0.77/1.06      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.06      % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.06      % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.06      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.06      % set(auto2) -> set(sort_initial_sos).
% 0.77/1.06      % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.06      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.06      % set(auto2) -> assign(max_megs, 400).
% 0.77/1.06      % set(auto2) -> assign(stats, some).
% 0.77/1.06      % set(auto2) -> clear(echo_input).
% 0.77/1.06      % set(auto2) -> set(quiet).
% 0.77/1.06      % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.06      % set(auto2) -> clear(print_given).
% 0.77/1.06  assign(lrs_ticks,-1).
% 0.77/1.06  assign(sos_limit,10000).
% 0.77/1.06  assign(order,kbo).
% 0.77/1.06  set(lex_order_vars).
% 0.77/1.06  clear(print_given).
% 0.77/1.06  
% 0.77/1.06  % formulas(sos).  % not echoed (25 formulas)
% 0.77/1.06  
% 0.77/1.06  ============================== end of input ==========================
% 0.77/1.06  
% 0.77/1.06  % From the command line: assign(max_seconds, 300).
% 0.77/1.06  
% 0.77/1.06  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.06  
% 0.77/1.06  % Formulas that are not ordinary clauses:
% 0.77/1.06  
% 0.77/1.06  ============================== end of process non-clausal formulas ===
% 0.77/1.06  
% 0.77/1.06  ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.06  
% 0.77/1.06  ============================== PREDICATE ELIMINATION =================
% 0.77/1.06  1 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17_32) # label(axiom).  [assumption].
% 0.77/1.06  2 organization(sk1) # label(assumption_3_42) # label(negated_conjecture).  [assumption].
% 0.77/1.06  Derived: -has_immunity(sk1,A) | hazard_of_mortality(sk1,A) = very_low.  [resolve(1,a,2,a)].
% 0.77/1.06  3 -organization(A) | has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low # label(assumption_17_33) # label(axiom).  [assumption].
% 0.77/1.06  Derived: has_immunity(sk1,A) | -is_aligned(sk1,A) | -positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = low.  [resolve(3,a,2,a)].
% 0.77/1.06  4 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 # label(assumption_17_34) # label(axiom).  [assumption].
% 0.77/1.06  Derived: has_immunity(sk1,A) | is_aligned(sk1,A) | -positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = mod1.  [resolve(4,a,2,a)].
% 0.77/1.06  5 -organization(A) | has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 # label(assumption_17_35) # label(axiom).  [assumption].
% 0.77/1.06  Derived: has_immunity(sk1,A) | -is_aligned(sk1,A) | positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = mod2.  [resolve(5,a,2,a)].
% 0.77/1.06  6 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high # label(assumption_17_36) # label(axiom).  [assumption].
% 0.77/1.06  Derived: has_immunity(sk1,A) | is_aligned(sk1,A) | positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = high.  [resolve(6,a,2,a)].
% 0.77/1.06  7 -smaller(A,B) | smaller_or_equal(A,B) # label(definition_smaller_or_equal_2) # label(axiom).  [assumption].
% 0.77/1.06  8 smaller(A,B) | A = B | greater(A,B) # label(meaning_postulate_greater_comparable_11) # label(axiom).  [assumption].
% 150.54/150.84  Derived: smaller_or_equal(A,B) | A = B | greater(A,B).  [resolve(7,a,8,a)].
% 150.54/150.84  9 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom).  [assumption].
% 150.54/150.84  Derived: greater(A,B) | B = A | greater(B,A).  [resolve(9,a,8,a)].
% 150.54/150.84  10 -greater(A,B) | smaller(B,A) # label(definition_smaller_8) # label(axiom).  [assumption].
% 150.54/150.84  Derived: -greater(A,B) | smaller_or_equal(B,A).  [resolve(10,b,7,a)].
% 150.54/150.84  11 -smaller_or_equal(A,B) | smaller(A,B) | A = B # label(definition_smaller_or_equal_1) # label(axiom).  [assumption].
% 150.54/150.84  Derived: -smaller_or_equal(A,B) | A = B | greater(B,A).  [resolve(11,b,9,a)].
% 150.54/150.84  12 -smaller_or_equal(A,B) | A = B | greater(B,A).  [resolve(11,b,9,a)].
% 150.54/150.84  13 A != B | smaller_or_equal(A,B) # label(definition_smaller_or_equal_3) # label(axiom).  [assumption].
% 150.54/150.84  14 smaller_or_equal(A,B) | A = B | greater(A,B).  [resolve(7,a,8,a)].
% 150.54/150.84  15 -greater(A,B) | smaller_or_equal(B,A).  [resolve(10,b,7,a)].
% 150.54/150.84  Derived: A = B | greater(B,A) | A = B | greater(A,B).  [resolve(12,a,14,a)].
% 150.54/150.84  16 -greater_or_equal(A,B) | greater(A,B) | A = B # label(definition_greater_or_equal_4) # label(axiom).  [assumption].
% 150.54/150.84  17 -greater(A,B) | greater_or_equal(A,B) # label(definition_greater_or_equal_5) # label(axiom).  [assumption].
% 150.54/150.84  18 A != B | greater_or_equal(A,B) # label(definition_greater_or_equal_6) # label(axiom).  [assumption].
% 150.54/150.84  
% 150.54/150.84  ============================== end predicate elimination =============
% 150.54/150.84  
% 150.54/150.84  Auto_denials:  (non-Horn, no changes).
% 150.54/150.84  
% 150.54/150.84  Term ordering decisions:
% 150.54/150.84  Function symbol KB weights:  sk1=1. low=1. high=1. mod1=1. mod2=1. very_low=1. sk2=1. sk3=1. hazard_of_mortality=1.
% 150.54/150.84  
% 150.54/150.84  ============================== end of process initial clauses ========
% 150.54/150.84  
% 150.54/150.84  ============================== CLAUSES FOR SEARCH ====================
% 150.54/150.84  
% 150.54/150.84  ============================== end of clauses for search =============
% 150.54/150.84  
% 150.54/150.84  ============================== SEARCH ================================
% 150.54/150.84  
% 150.54/150.84  % Starting search at 0.01 seconds.
% 150.54/150.84  
% 150.54/150.84  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 25 (0.00 of 4.03 sec).
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=33.000, iters=3413
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=30.000, iters=3380
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=29.000, iters=3351
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=28.000, iters=3351
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=27.000, iters=3501
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=26.000, iters=3334
% 150.54/150.84  
% 150.54/150.84  Low Water (keep): wt=24.000, iters=3335
% 150.54/150.84  
% 150.54/150.84  ============================== PROOF =================================
% 150.54/150.84  % SZS status Unsatisfiable
% 150.54/150.84  % SZS output start Refutation
% 150.54/150.84  
% 150.54/150.84  % Proof 1 at 144.20 (+ 5.59) seconds.
% 150.54/150.84  % Length of proof is 45.
% 150.54/150.84  % Level of proof is 11.
% 150.54/150.84  % Maximum clause weight is 26.000.
% 150.54/150.84  % Given clauses 3779.
% 150.54/150.84  
% 150.54/150.84  1 -organization(A) | -has_immunity(A,B) | hazard_of_mortality(A,B) = very_low # label(assumption_17_32) # label(axiom).  [assumption].
% 150.54/150.84  2 organization(sk1) # label(assumption_3_42) # label(negated_conjecture).  [assumption].
% 150.54/150.84  3 -organization(A) | has_immunity(A,B) | -is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = low # label(assumption_17_33) # label(axiom).  [assumption].
% 150.54/150.84  4 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | -positional_advantage(A,B) | hazard_of_mortality(A,B) = mod1 # label(assumption_17_34) # label(axiom).  [assumption].
% 150.54/150.84  5 -organization(A) | has_immunity(A,B) | -is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = mod2 # label(assumption_17_35) # label(axiom).  [assumption].
% 150.54/150.84  6 -organization(A) | has_immunity(A,B) | is_aligned(A,B) | positional_advantage(A,B) | hazard_of_mortality(A,B) = high # label(assumption_17_36) # label(axiom).  [assumption].
% 150.54/150.84  8 smaller(A,B) | A = B | greater(A,B) # label(meaning_postulate_greater_comparable_11) # label(axiom).  [assumption].
% 150.54/150.84  9 -smaller(A,B) | greater(B,A) # label(definition_smaller_7) # label(axiom).  [assumption].
% 150.54/150.84  20 greater(mod1,low) # label(assumption_18b_38) # label(axiom).  [assumption].
% 150.54/150.84  21 greater(low,very_low) # label(assumption_18c_39) # label(axiom).  [assumption].
% 150.54/150.84  22 greater(high,mod2) # label(assumption_18d_40) # label(axiom).  [assumption].
% 150.54/150.84  23 greater(mod2,low) # label(assumption_18e_41) # label(axiom).  [assumption].
% 150.54/150.84  24 has_immunity(sk1,sk2) # label(assumption_3_43) # label(negated_conjecture).  [assumption].
% 150.54/150.84  25 -has_immunity(sk1,sk3) # label(assumption_3_44) # label(negated_conjecture).  [assumption].
% 150.54/150.84  26 -greater(A,B) | -greater(B,A) # label(meaning_postulate_greater_strict_9) # label(axiom).  [assumption].
% 150.54/150.84  27 -greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) # label(assumption_3_45) # label(negated_conjecture).  [assumption].
% 150.54/150.84  28 -greater(A,B) | -greater(B,C) | greater(A,C) # label(meaning_postulate_greater_transitive_10) # label(axiom).  [assumption].
% 150.54/150.84  29 -has_immunity(sk1,A) | hazard_of_mortality(sk1,A) = very_low.  [resolve(1,a,2,a)].
% 150.54/150.84  30 has_immunity(sk1,A) | -is_aligned(sk1,A) | -positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = low.  [resolve(3,a,2,a)].
% 150.54/150.84  31 has_immunity(sk1,A) | is_aligned(sk1,A) | -positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = mod1.  [resolve(4,a,2,a)].
% 150.54/150.84  32 has_immunity(sk1,A) | -is_aligned(sk1,A) | positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = mod2.  [resolve(5,a,2,a)].
% 150.54/150.84  33 has_immunity(sk1,A) | is_aligned(sk1,A) | positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = high.  [resolve(6,a,2,a)].
% 150.54/150.84  34 greater(A,B) | B = A | greater(B,A).  [resolve(9,a,8,a)].
% 150.54/150.84  36 -greater(A,A).  [factor(26,a,b)].
% 150.54/150.84  42 -greater(low,A) | greater(mod2,A).  [resolve(28,a,23,a)].
% 150.54/150.84  43 -greater(mod2,A) | greater(high,A).  [resolve(28,a,22,a)].
% 150.54/150.84  44 -greater(very_low,A) | greater(low,A).  [resolve(28,a,21,a)].
% 150.54/150.84  45 -greater(low,A) | greater(mod1,A).  [resolve(28,a,20,a)].
% 150.54/150.84  52 hazard_of_mortality(sk1,sk2) = very_low.  [resolve(29,a,24,a)].
% 150.54/150.84  53 -greater(hazard_of_mortality(sk1,sk3),very_low).  [back_rewrite(27),rewrite([52(6)])].
% 150.54/150.84  54 has_immunity(sk1,A) | is_aligned(sk1,A) | hazard_of_mortality(sk1,A) = high | hazard_of_mortality(sk1,A) = mod1.  [resolve(33,c,31,c),merge(d),merge(e)].
% 150.54/150.84  63 greater(mod2,very_low).  [resolve(42,a,21,a)].
% 150.54/150.84  67 greater(high,very_low).  [resolve(43,a,63,a)].
% 150.54/150.84  70 greater(low,A) | greater(A,very_low) | very_low = A.  [resolve(44,a,34,c)].
% 150.54/150.84  77 greater(mod1,very_low).  [resolve(45,a,21,a)].
% 150.54/150.84  99 has_immunity(sk1,A) | hazard_of_mortality(sk1,A) = high | hazard_of_mortality(sk1,A) = mod1 | positional_advantage(sk1,A) | hazard_of_mortality(sk1,A) = mod2.  [resolve(54,b,32,b),merge(d)].
% 150.54/150.84  127 greater(low,hazard_of_mortality(sk1,sk3)) | hazard_of_mortality(sk1,sk3) = very_low.  [resolve(70,b,53,a),flip(b)].
% 150.54/150.84  389 has_immunity(sk1,A) | hazard_of_mortality(sk1,A) = high | hazard_of_mortality(sk1,A) = mod1 | hazard_of_mortality(sk1,A) = mod2 | -is_aligned(sk1,A) | hazard_of_mortality(sk1,A) = low.  [resolve(99,d,30,c),merge(e)].
% 150.54/150.84  3090 has_immunity(sk1,A) | hazard_of_mortality(sk1,A) = high | hazard_of_mortality(sk1,A) = mod1 | hazard_of_mortality(sk1,A) = mod2 | hazard_of_mortality(sk1,A) = low.  [resolve(389,e,54,b),merge(f),merge(g),merge(h)].
% 150.54/150.84  13134 hazard_of_mortality(sk1,sk3) = high | hazard_of_mortality(sk1,sk3) = mod1 | hazard_of_mortality(sk1,sk3) = mod2 | hazard_of_mortality(sk1,sk3) = low.  [resolve(3090,a,25,a)].
% 150.54/150.84  13135 hazard_of_mortality(sk1,sk3) = high | hazard_of_mortality(sk1,sk3) = mod1 | hazard_of_mortality(sk1,sk3) = low.  [para(13134(c,1),53(a,1)),unit_del(d,63)].
% 150.54/150.84  13136 hazard_of_mortality(sk1,sk3) = high | hazard_of_mortality(sk1,sk3) = low.  [para(13135(b,1),53(a,1)),unit_del(c,77)].
% 150.54/150.84  13137 hazard_of_mortality(sk1,sk3) = low.  [para(13136(a,1),53(a,1)),unit_del(b,67)].
% 150.54/150.84  13394 very_low = low.  [back_rewrite(127),rewrite([13137(4),13137(6)]),flip(b),unit_del(a,36)].
% 150.54/150.84  13611 $F.  [back_rewrite(21),rewrite([13394(2)]),unit_del(a,36)].
% 150.54/150.84  
% 150.54/150.84  % SZS output end Refutation
% 150.54/150.84  ============================== end of proof ==========================
% 150.54/150.84  
% 150.54/150.84  ============================== STATISTICS ============================
% 150.54/150.84  
% 150.54/150.84  Given=3779. Generated=10969036. Kept=13591. proofs=1.
% 150.54/150.84  Usable=1582. Sos=4079. Demods=3. Limbo=217, Disabled=7748. Hints=0.
% 150.54/150.84  Megabytes=9.81.
% 150.54/150.84  User_CPU=144.20, System_CPU=5.59, Wall_clock=149.
% 150.54/150.84  
% 150.54/150.84  ============================== end of statistics =====================
% 150.54/150.84  
% 150.54/150.84  ============================== end of search =========================
% 150.54/150.84  
% 150.54/150.84  THEOREM PROVED
% 150.54/150.84  % SZS status Unsatisfiable
% 150.54/150.84  
% 150.54/150.84  Exiting with 1 proof.
% 150.54/150.84  
% 150.54/150.84  Process 16072 exit (max_proofs) Thu Jun  9 09:32:25 2022
% 150.54/150.84  Prover9 interrupted
%------------------------------------------------------------------------------