TSTP Solution File: PLA012-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : PLA012-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 : Mon Jul 18 17:31:22 EDT 2022

% Result   : Unsatisfiable 190.76s 191.06s
% Output   : Refutation 190.76s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PLA012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n021.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 : Tue May 31 19:19:00 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 190.76/191.06  ============================== Prover9 ===============================
% 190.76/191.06  Prover9 (32) version 2009-11A, November 2009.
% 190.76/191.06  Process 3935 was started by sandbox2 on n021.cluster.edu,
% 190.76/191.06  Tue May 31 19:19:00 2022
% 190.76/191.06  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3782_n021.cluster.edu".
% 190.76/191.06  ============================== end of head ===========================
% 190.76/191.06  
% 190.76/191.06  ============================== INPUT =================================
% 190.76/191.06  
% 190.76/191.06  % Reading from file /tmp/Prover9_3782_n021.cluster.edu
% 190.76/191.06  
% 190.76/191.06  set(prolog_style_variables).
% 190.76/191.06  set(auto2).
% 190.76/191.06      % set(auto2) -> set(auto).
% 190.76/191.06      % set(auto) -> set(auto_inference).
% 190.76/191.06      % set(auto) -> set(auto_setup).
% 190.76/191.06      % set(auto_setup) -> set(predicate_elim).
% 190.76/191.06      % set(auto_setup) -> assign(eq_defs, unfold).
% 190.76/191.06      % set(auto) -> set(auto_limits).
% 190.76/191.06      % set(auto_limits) -> assign(max_weight, "100.000").
% 190.76/191.06      % set(auto_limits) -> assign(sos_limit, 20000).
% 190.76/191.06      % set(auto) -> set(auto_denials).
% 190.76/191.06      % set(auto) -> set(auto_process).
% 190.76/191.06      % set(auto2) -> assign(new_constants, 1).
% 190.76/191.06      % set(auto2) -> assign(fold_denial_max, 3).
% 190.76/191.06      % set(auto2) -> assign(max_weight, "200.000").
% 190.76/191.06      % set(auto2) -> assign(max_hours, 1).
% 190.76/191.06      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 190.76/191.06      % set(auto2) -> assign(max_seconds, 0).
% 190.76/191.06      % set(auto2) -> assign(max_minutes, 5).
% 190.76/191.06      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 190.76/191.06      % set(auto2) -> set(sort_initial_sos).
% 190.76/191.06      % set(auto2) -> assign(sos_limit, -1).
% 190.76/191.06      % set(auto2) -> assign(lrs_ticks, 3000).
% 190.76/191.06      % set(auto2) -> assign(max_megs, 400).
% 190.76/191.06      % set(auto2) -> assign(stats, some).
% 190.76/191.06      % set(auto2) -> clear(echo_input).
% 190.76/191.06      % set(auto2) -> set(quiet).
% 190.76/191.06      % set(auto2) -> clear(print_initial_clauses).
% 190.76/191.06      % set(auto2) -> clear(print_given).
% 190.76/191.06  assign(lrs_ticks,-1).
% 190.76/191.06  assign(sos_limit,10000).
% 190.76/191.06  assign(order,kbo).
% 190.76/191.06  set(lex_order_vars).
% 190.76/191.06  clear(print_given).
% 190.76/191.06  
% 190.76/191.06  % formulas(sos).  % not echoed (31 formulas)
% 190.76/191.06  
% 190.76/191.06  ============================== end of input ==========================
% 190.76/191.06  
% 190.76/191.06  % From the command line: assign(max_seconds, 300).
% 190.76/191.06  
% 190.76/191.06  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 190.76/191.06  
% 190.76/191.06  % Formulas that are not ordinary clauses:
% 190.76/191.06  
% 190.76/191.06  ============================== end of process non-clausal formulas ===
% 190.76/191.06  
% 190.76/191.06  ============================== PROCESS INITIAL CLAUSES ===============
% 190.76/191.06  
% 190.76/191.06  ============================== PREDICATE ELIMINATION =================
% 190.76/191.06  
% 190.76/191.06  ============================== end predicate elimination =============
% 190.76/191.06  
% 190.76/191.06  Auto_denials:
% 190.76/191.06    % copying label prove_DBC to answer in negative clause
% 190.76/191.06  
% 190.76/191.06  Term ordering decisions:
% 190.76/191.06  Function symbol KB weights:  table=1. s0=1. a=1. b=1. c=1. d=1. empty=1. on=1. do=1. putdown=1. and=1. clear=1. holding=1. pickup=1.
% 190.76/191.06  
% 190.76/191.06  ============================== end of process initial clauses ========
% 190.76/191.06  
% 190.76/191.06  ============================== CLAUSES FOR SEARCH ====================
% 190.76/191.06  
% 190.76/191.06  ============================== end of clauses for search =============
% 190.76/191.06  
% 190.76/191.06  ============================== SEARCH ================================
% 190.76/191.06  
% 190.76/191.06  % Starting search at 0.01 seconds.
% 190.76/191.06  
% 190.76/191.06  Low Water (keep): wt=15.000, iters=3506
% 190.76/191.06  
% 190.76/191.06  Low Water (keep): wt=14.000, iters=3358
% 190.76/191.06  
% 190.76/191.06  Low Water (keep): wt=13.000, iters=3339
% 190.76/191.06  
% 190.76/191.06  Low Water (keep): wt=12.000, iters=3350
% 190.76/191.06  
% 190.76/191.06  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 44 (0.00 of 0.35 sec).
% 190.76/191.06  
% 190.76/191.06  ============================== PROOF =================================
% 190.76/191.06  % SZS status Unsatisfiable
% 190.76/191.06  % SZS output start Refutation
% 190.76/191.06  
% 190.76/191.06  % Proof 1 at 160.22 (+ 29.86) seconds: prove_DBC.
% 190.76/191.06  % Length of proof is 52.
% 190.76/191.06  % Level of proof is 19.
% 190.76/191.06  % Maximum clause weight is 31.000.
% 190.76/191.06  % Given clauses 16162.
% 190.76/191.06  
% 190.76/191.06  5 differ(b,c) # label(differ_b_c) # label(axiom).  [assumption].
% 190.76/191.06  6 differ(b,d) # label(differ_b_d) # label(axiom).  [assumption].
% 190.76/191.06  7 differ(b,table) # label(differ_b_table) # label(axiom).  [assumption].
% 190.76/191.06  8 differ(c,d) # label(differ_c_d) # label(axiom).  [assumption].
% 190.76/191.06  9 differ(c,table) # label(differ_c_table) # label(axiom).  [assumption].
% 190.76/191.06  10 differ(d,table) # label(differ_d_table) # label(axiom).  [assumption].
% 190.76/191.06  11 holds(empty,s0) # label(initial_state8) # label(axiom).  [assumption].
% 190.76/191.06  13 holds(clear(b),s0) # label(initial_state6) # label(axiom).  [assumption].
% 190.76/191.06  14 holds(clear(c),s0) # label(initial_state7) # label(axiom).  [assumption].
% 190.76/191.06  15 holds(clear(table),A) # label(clear_table) # label(axiom).  [assumption].
% 190.76/191.06  18 holds(on(c,d),s0) # label(initial_state3) # label(axiom).  [assumption].
% 190.76/191.06  20 -holds(and(on(d,b),on(b,c)),A) # label(prove_DBC) # label(negated_conjecture) # answer(prove_DBC).  [assumption].
% 190.76/191.06  21 differ(A,B) | -differ(B,A) # label(symmetry_of_differ) # label(axiom).  [assumption].
% 190.76/191.06  22 holds(and(A,B),C) | -holds(A,C) | -holds(B,C) # label(and_definition) # label(axiom).  [assumption].
% 190.76/191.06  23 holds(clear(A),do(pickup(B),C)) | -holds(clear(A),C) | -differ(A,B) # label(pickup_4) # label(axiom).  [assumption].
% 190.76/191.06  24 holds(on(A,B),do(putdown(C,D),E)) | -holds(on(A,B),E) # label(putdown_4) # label(axiom).  [assumption].
% 190.76/191.06  25 holds(empty,do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_1) # label(axiom).  [assumption].
% 190.76/191.06  26 holds(clear(A),do(putdown(B,C),D)) | -holds(clear(A),D) | -differ(A,C) # label(putdown_5) # label(axiom).  [assumption].
% 190.76/191.06  27 holds(on(A,B),do(pickup(C),D)) | -holds(on(A,B),D) | -differ(A,C) # label(pickup_3) # label(axiom).  [assumption].
% 190.76/191.06  28 holds(clear(A),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_3) # label(axiom).  [assumption].
% 190.76/191.06  29 holds(holding(A),do(pickup(A),B)) | -holds(empty,B) | -holds(clear(A),B) | -differ(A,table) # label(pickup_1) # label(axiom).  [assumption].
% 190.76/191.06  30 holds(on(A,B),do(putdown(A,B),C)) | -holds(holding(A),C) | -holds(clear(B),C) # label(putdown_2) # label(axiom).  [assumption].
% 190.76/191.06  31 holds(clear(A),do(pickup(B),C)) | -holds(on(B,A),C) | -holds(clear(B),C) | -holds(empty,C) # label(pickup_2) # label(axiom).  [assumption].
% 190.76/191.06  34 differ(d,c).  [ur(21,b,8,a)].
% 190.76/191.06  36 differ(d,b).  [ur(21,b,6,a)].
% 190.76/191.06  37 differ(c,b).  [ur(21,b,5,a)].
% 190.76/191.06  42 -holds(on(d,b),A) | -holds(on(b,c),A) # answer(prove_DBC).  [resolve(22,a,20,a)].
% 190.76/191.06  128 holds(clear(b),do(pickup(c),s0)).  [ur(23,b,13,a,c,5,a)].
% 190.76/191.06  156 holds(holding(c),do(pickup(c),s0)).  [ur(29,b,11,a,c,14,a,d,9,a)].
% 190.76/191.06  159 holds(clear(d),do(pickup(c),s0)).  [ur(31,b,18,a,c,14,a,d,11,a)].
% 190.76/191.06  165 -holds(on(d,b),do(putdown(A,B),C)) | -holds(on(b,c),C) # answer(prove_DBC).  [resolve(42,b,24,a)].
% 190.76/191.06  184 -holds(on(b,c),A) | -holds(holding(d),A) | -holds(clear(b),A) # answer(prove_DBC).  [resolve(165,a,30,a)].
% 190.76/191.06  189 -holds(holding(d),do(pickup(A),B)) | -holds(clear(b),do(pickup(A),B)) | -holds(on(b,c),B) | -differ(b,A) # answer(prove_DBC).  [resolve(184,a,27,a)].
% 190.76/191.06  3035 holds(clear(b),do(putdown(A,table),do(pickup(c),s0))).  [ur(26,b,128,a,c,7,a)].
% 190.76/191.06  3221 holds(clear(c),do(putdown(c,table),do(pickup(c),s0))).  [ur(28,b,156,a,c,15,a)].
% 190.76/191.06  3224 holds(empty,do(putdown(c,table),do(pickup(c),s0))).  [ur(25,b,156,a,c,15,a)].
% 190.76/191.06  3378 holds(clear(d),do(putdown(A,table),do(pickup(c),s0))).  [ur(26,b,159,a,c,10,a)].
% 190.76/191.06  6138 -holds(holding(d),do(pickup(A),B)) | -holds(on(b,c),B) | -differ(b,A) | -holds(clear(b),B) # answer(prove_DBC).  [resolve(189,b,23,a),merge(e)].
% 190.76/191.06  6407 -holds(holding(d),do(pickup(d),A)) | -holds(on(b,c),A) | -holds(clear(b),A) # answer(prove_DBC).  [resolve(6138,c,6,a)].
% 190.76/191.06  6479 -holds(on(b,c),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(d),A) | -differ(d,table) # answer(prove_DBC).  [resolve(6407,a,29,a)].
% 190.76/191.06  6785 -holds(on(b,c),A) | -holds(clear(b),A) | -holds(empty,A) | -holds(clear(d),A) # answer(prove_DBC).  [resolve(6479,e,10,a)].
% 190.76/191.06  6786 -holds(clear(b),do(putdown(b,c),A)) | -holds(empty,do(putdown(b,c),A)) | -holds(clear(d),do(putdown(b,c),A)) | -holds(holding(b),A) | -holds(clear(c),A) # answer(prove_DBC).  [resolve(6785,a,30,a)].
% 190.76/191.06  24454 -holds(empty,do(putdown(b,c),A)) | -holds(clear(d),do(putdown(b,c),A)) | -holds(holding(b),A) | -holds(clear(c),A) # answer(prove_DBC).  [resolve(6786,a,28,a),merge(e),merge(f)].
% 190.76/191.06  24456 -holds(clear(d),do(putdown(b,c),A)) | -holds(holding(b),A) | -holds(clear(c),A) # answer(prove_DBC).  [resolve(24454,a,25,a),merge(d),merge(e)].
% 190.76/191.06  24460 -holds(holding(b),A) | -holds(clear(c),A) | -holds(clear(d),A) | -differ(d,c) # answer(prove_DBC).  [resolve(24456,a,26,a)].
% 190.76/191.06  24604 -holds(holding(b),A) | -holds(clear(c),A) | -holds(clear(d),A) # answer(prove_DBC).  [resolve(24460,d,34,a)].
% 190.76/191.06  24688 -holds(holding(b),do(pickup(A),B)) | -holds(clear(d),do(pickup(A),B)) | -holds(clear(c),B) | -differ(c,A) # answer(prove_DBC).  [resolve(24604,b,23,a)].
% 190.76/191.06  24956 -holds(holding(b),do(pickup(b),A)) | -holds(clear(d),do(pickup(b),A)) | -holds(clear(c),A) # answer(prove_DBC).  [resolve(24688,d,37,a)].
% 190.76/191.06  24987 -holds(holding(b),do(pickup(b),A)) | -holds(clear(c),A) | -holds(clear(d),A) | -differ(d,b) # answer(prove_DBC).  [resolve(24956,b,23,a)].
% 190.76/191.06  25172 -holds(holding(b),do(pickup(b),do(putdown(c,table),do(pickup(c),s0)))) # answer(prove_DBC).  [ur(24987,b,3221,a,c,3378,a,d,36,a)].
% 190.76/191.06  25176 -holds(empty,do(putdown(c,table),do(pickup(c),s0))) # answer(prove_DBC).  [ur(29,a,25172,a,c,3035,a,d,7,a)].
% 190.76/191.06  25177 $F # answer(prove_DBC).  [resolve(25176,a,3224,a)].
% 190.76/191.06  
% 190.76/191.06  % SZS output end Refutation
% 190.76/191.06  ============================== end of proof ==========================
% 190.76/191.06  
% 190.76/191.06  ============================== STATISTICS ============================
% 190.76/191.06  
% 190.76/191.06  Given=16162. Generated=58217017. Kept=25176. proofs=1.
% 190.76/191.06  Usable=16138. Sos=8887. Demods=0. Limbo=1, Disabled=180. Hints=0.
% 190.76/191.06  Megabytes=25.04.
% 190.76/191.06  User_CPU=160.22, System_CPU=29.86, Wall_clock=190.
% 190.76/191.06  
% 190.76/191.06  ============================== end of statistics =====================
% 190.76/191.06  
% 190.76/191.06  ============================== end of search =========================
% 190.76/191.06  
% 190.76/191.06  THEOREM PROVED
% 190.76/191.06  % SZS status Unsatisfiable
% 190.76/191.06  
% 190.76/191.06  Exiting with 1 proof.
% 190.76/191.06  
% 190.76/191.06  Process 3935 exit (max_proofs) Tue May 31 19:22:10 2022
% 190.76/191.06  Prover9 interrupted
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