TSTP Solution File: SYN090-1.008 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n011.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 : Thu Jul 21 11:16:19 EDT 2022

% Result   : Unsatisfiable 0.45s 1.02s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n011.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 : Mon Jul 11 16:16:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/1.02  ============================== Prover9 ===============================
% 0.45/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.02  Process 29528 was started by sandbox2 on n011.cluster.edu,
% 0.45/1.02  Mon Jul 11 16:16:13 2022
% 0.45/1.02  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_29372_n011.cluster.edu".
% 0.45/1.02  ============================== end of head ===========================
% 0.45/1.02  
% 0.45/1.02  ============================== INPUT =================================
% 0.45/1.02  
% 0.45/1.02  % Reading from file /tmp/Prover9_29372_n011.cluster.edu
% 0.45/1.02  
% 0.45/1.02  set(prolog_style_variables).
% 0.45/1.02  set(auto2).
% 0.45/1.02      % set(auto2) -> set(auto).
% 0.45/1.02      % set(auto) -> set(auto_inference).
% 0.45/1.02      % set(auto) -> set(auto_setup).
% 0.45/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.02      % set(auto) -> set(auto_limits).
% 0.45/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.02      % set(auto) -> set(auto_denials).
% 0.45/1.02      % set(auto) -> set(auto_process).
% 0.45/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.02      % set(auto2) -> assign(stats, some).
% 0.45/1.02      % set(auto2) -> clear(echo_input).
% 0.45/1.02      % set(auto2) -> set(quiet).
% 0.45/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.02      % set(auto2) -> clear(print_given).
% 0.45/1.02  assign(lrs_ticks,-1).
% 0.45/1.02  assign(sos_limit,10000).
% 0.45/1.02  assign(order,kbo).
% 0.45/1.02  set(lex_order_vars).
% 0.45/1.02  clear(print_given).
% 0.45/1.02  
% 0.45/1.02  % formulas(sos).  % not echoed (65 formulas)
% 0.45/1.02  
% 0.45/1.02  ============================== end of input ==========================
% 0.45/1.02  
% 0.45/1.02  % From the command line: assign(max_seconds, 300).
% 0.45/1.02  
% 0.45/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.02  
% 0.45/1.02  % Formulas that are not ordinary clauses:
% 0.45/1.02  
% 0.45/1.02  ============================== end of process non-clausal formulas ===
% 0.45/1.02  
% 0.45/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.02  
% 0.45/1.02  ============================== PREDICATE ELIMINATION =================
% 0.45/1.02  
% 0.45/1.02  ============================== end predicate elimination =============
% 0.45/1.02  
% 0.45/1.02  Auto_denials:
% 0.45/1.02    % copying label s3_goal_1 to answer in negative clause
% 0.45/1.02  
% 0.45/1.02  Term ordering decisions:
% 0.45/1.02  Function symbol KB weights: 
% 0.45/1.02  
% 0.45/1.02  ============================== PROOF =================================
% 0.45/1.02  % SZS status Unsatisfiable
% 0.45/1.02  % SZS output start Refutation
% 0.45/1.02  
% 0.45/1.02  % Proof 1 at 0.02 (+ 0.00) seconds: s3_goal_1.
% 0.45/1.02  % Length of proof is 61.
% 0.45/1.02  % Level of proof is 15.
% 0.45/1.02  % Maximum clause weight is 3.000.
% 0.45/1.02  % Given clauses 0.
% 0.45/1.02  
% 0.45/1.02  1 p_14 # label(t3_1) # label(axiom).  [assumption].
% 0.45/1.02  2 p_15 # label(t3_2) # label(axiom).  [assumption].
% 0.45/1.02  3 q_14 # label(t3_3) # label(axiom).  [assumption].
% 0.45/1.02  5 -p_0 | -q_0 # label(s3_goal_1) # label(negated_conjecture) # answer(s3_goal_1).  [assumption].
% 0.45/1.02  9 p_0 | -q_1 | -q_2 # label(s3_type11_2) # label(axiom).  [assumption].
% 0.45/1.02  11 p_1 | -q_2 | -q_3 # label(s3_type11_4) # label(axiom).  [assumption].
% 0.45/1.02  13 p_2 | -q_3 | -q_4 # label(s3_type11_6) # label(axiom).  [assumption].
% 0.45/1.02  15 p_3 | -q_4 | -q_5 # label(s3_type11_8) # label(axiom).  [assumption].
% 0.45/1.02  17 p_4 | -q_5 | -q_6 # label(s3_type11_10) # label(axiom).  [assumption].
% 0.45/1.02  19 p_5 | -q_6 | -q_7 # label(s3_type11_12) # label(axiom).  [assumption].
% 0.45/1.02  21 p_6 | -q_7 | -q_8 # label(s3_type11_14) # label(axiom).  [assumption].
% 0.45/1.02  23 p_7 | -q_8 | -q_9 # label(s3_type11_16) # label(axiom).  [assumption].
% 0.45/1.02  25 p_8 | -q_9 | -q_10 # label(s3_type11_18) # label(axiom).  [assumption].
% 0.45/1.02  26 p_9 | -p_10 | -p_11 # label(s3_type11_19) # label(axiom).  [assumption].
% 0.45/1.02  29 p_10 | -q_11 | -q_12 # label(s3_type11_22) # label(axiom).  [assumption].
% 0.45/1.02  30 p_11 | -p_12 | -p_13 # label(s3_type11_23) # label(axiom).  [assumption].
% 0.45/1.02  32 p_12 | -p_13 | -p_14 # label(s3_type11_25) # label(axiom).  [assumption].
% 0.45/1.02  33 p_12 | -p_13.  [copy(32),unit_del(c,1)].
% 0.45/1.02  36 p_13 | -p_14 | -p_15 # label(s3_type11_27) # label(axiom).  [assumption].
% 0.45/1.02  37 p_13.  [copy(36),unit_del(b,1),unit_del(c,2)].
% 0.45/1.02  39 q_0 | -p_1 | -q_2 # label(s3_type12_1) # label(axiom).  [assumption].
% 0.45/1.02  41 q_1 | -p_2 | -q_3 # label(s3_type12_3) # label(axiom).  [assumption].
% 0.45/1.02  43 q_2 | -p_3 | -q_4 # label(s3_type12_5) # label(axiom).  [assumption].
% 0.45/1.02  45 q_3 | -p_4 | -q_5 # label(s3_type12_7) # label(axiom).  [assumption].
% 0.45/1.02  47 q_4 | -p_5 | -q_6 # label(s3_type12_9) # label(axiom).  [assumption].
% 0.45/1.02  49 q_5 | -p_6 | -q_7 # label(s3_type12_11) # label(axiom).  [assumption].
% 0.45/1.02  51 q_6 | -p_7 | -q_8 # label(s3_type12_13) # label(axiom).  [assumption].
% 0.45/1.02  53 q_7 | -p_8 | -q_9 # label(s3_type12_15) # label(axiom).  [assumption].
% 0.45/1.02  55 q_8 | -p_9 | -q_10 # label(s3_type12_17) # label(axiom).  [assumption].
% 0.45/1.02  58 q_9 | -q_10 | -p_11 # label(s3_type12_20) # label(axiom).  [assumption].
% 0.45/1.02  59 q_10 | -p_11 | -q_12 # label(s3_type12_21) # label(axiom).  [assumption].
% 0.45/1.02  62 q_11 | -q_12 | -p_13 # label(s3_type12_24) # label(axiom).  [assumption].
% 0.45/1.02  63 q_11 | -q_12.  [copy(62),unit_del(c,37)].
% 0.45/1.02  64 q_12 | -p_13 | -q_14 # label(s3_type12_25) # label(axiom).  [assumption].
% 0.45/1.02  65 q_12.  [copy(64),unit_del(b,37),unit_del(c,3)].
% 0.45/1.02  70 p_12.  [back_unit_del(33),unit_del(b,37)].
% 0.45/1.02  71 p_11.  [back_unit_del(30),unit_del(b,70),unit_del(c,37)].
% 0.45/1.02  72 q_11.  [back_unit_del(63),unit_del(b,65)].
% 0.45/1.02  73 q_10.  [back_unit_del(59),unit_del(b,71),unit_del(c,65)].
% 0.45/1.02  74 p_10.  [back_unit_del(29),unit_del(b,72),unit_del(c,65)].
% 0.45/1.02  75 q_9.  [back_unit_del(58),unit_del(b,73),unit_del(c,71)].
% 0.45/1.02  76 p_9.  [back_unit_del(26),unit_del(b,74),unit_del(c,71)].
% 0.45/1.02  77 q_8.  [back_unit_del(55),unit_del(b,76),unit_del(c,73)].
% 0.45/1.02  78 p_8.  [back_unit_del(25),unit_del(b,75),unit_del(c,73)].
% 0.45/1.02  79 q_7.  [back_unit_del(53),unit_del(b,78),unit_del(c,75)].
% 0.45/1.02  80 p_7.  [back_unit_del(23),unit_del(b,77),unit_del(c,75)].
% 0.45/1.02  81 q_6.  [back_unit_del(51),unit_del(b,80),unit_del(c,77)].
% 0.45/1.02  82 p_6.  [back_unit_del(21),unit_del(b,79),unit_del(c,77)].
% 0.45/1.02  85 q_5.  [back_unit_del(49),unit_del(b,82),unit_del(c,79)].
% 0.45/1.02  86 p_5.  [back_unit_del(19),unit_del(b,81),unit_del(c,79)].
% 0.45/1.02  87 q_4.  [back_unit_del(47),unit_del(b,86),unit_del(c,81)].
% 0.45/1.02  88 p_4.  [back_unit_del(17),unit_del(b,85),unit_del(c,81)].
% 0.45/1.02  89 q_3.  [back_unit_del(45),unit_del(b,88),unit_del(c,85)].
% 0.45/1.02  90 p_3.  [back_unit_del(15),unit_del(b,87),unit_del(c,85)].
% 0.45/1.02  91 q_2.  [back_unit_del(43),unit_del(b,90),unit_del(c,87)].
% 0.45/1.02  92 p_2.  [back_unit_del(13),unit_del(b,89),unit_del(c,87)].
% 0.45/1.02  93 q_1.  [back_unit_del(41),unit_del(b,92),unit_del(c,89)].
% 0.45/1.02  94 p_1.  [back_unit_del(11),unit_del(b,91),unit_del(c,89)].
% 0.45/1.02  95 q_0.  [back_unit_del(39),unit_del(b,94),unit_del(c,91)].
% 0.45/1.02  96 p_0.  [back_unit_del(9),unit_del(b,93),unit_del(c,91)].
% 0.45/1.02  97 $F # answer(s3_goal_1).  [back_unit_del(5),unit_del(a,96),unit_del(b,95)].
% 0.45/1.02  
% 0.45/1.02  % SZS output end Refutation
% 0.45/1.02  ============================== end of proof ==========================
% 0.45/1.02  
% 0.45/1.02  ============================== STATISTICS ============================
% 0.45/1.02  
% 0.45/1.02  Given=0. Generated=118. Kept=87. proofs=1.
% 0.45/1.02  Usable=0. Sos=32. Demods=0. Limbo=2, Disabled=118. Hints=0.
% 0.45/1.02  Megabytes=0.09.
% 0.45/1.02  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.02  
% 0.45/1.02  ============================== end of statistics =====================
% 0.45/1.02  
% 0.45/1.02  ============================== end of search =========================
% 0.45/1.02  
% 0.45/1.02  THEOREM PROVED
% 0.45/1.02  % SZS status Unsatisfiable
% 0.45/1.02  
% 0.45/1.02  Exiting with 1 proof.
% 0.45/1.02  
% 0.45/1.02  Process 29528 exit (max_proofs) Mon Jul 11 16:16:13 2022
% 0.45/1.02  Prover9 interrupted
%------------------------------------------------------------------------------