TSTP Solution File: SYN098-1.002 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n025.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 11:16:22 EDT 2022

% Result   : Unsatisfiable 0.45s 1.03s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n025.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 22:04:47 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/1.03  ============================== Prover9 ===============================
% 0.45/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.03  Process 19735 was started by sandbox2 on n025.cluster.edu,
% 0.45/1.03  Mon Jul 11 22:04:48 2022
% 0.45/1.03  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_19582_n025.cluster.edu".
% 0.45/1.03  ============================== end of head ===========================
% 0.45/1.03  
% 0.45/1.03  ============================== INPUT =================================
% 0.45/1.03  
% 0.45/1.03  % Reading from file /tmp/Prover9_19582_n025.cluster.edu
% 0.45/1.03  
% 0.45/1.03  set(prolog_style_variables).
% 0.45/1.03  set(auto2).
% 0.45/1.03      % set(auto2) -> set(auto).
% 0.45/1.03      % set(auto) -> set(auto_inference).
% 0.45/1.03      % set(auto) -> set(auto_setup).
% 0.45/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.45/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.03      % set(auto) -> set(auto_limits).
% 0.45/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.03      % set(auto) -> set(auto_denials).
% 0.45/1.03      % set(auto) -> set(auto_process).
% 0.45/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.45/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.45/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.45/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.45/1.03      % set(auto2) -> assign(stats, some).
% 0.45/1.03      % set(auto2) -> clear(echo_input).
% 0.45/1.03      % set(auto2) -> set(quiet).
% 0.45/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.03      % set(auto2) -> clear(print_given).
% 0.45/1.03  assign(lrs_ticks,-1).
% 0.45/1.03  assign(sos_limit,10000).
% 0.45/1.03  assign(order,kbo).
% 0.45/1.03  set(lex_order_vars).
% 0.45/1.03  clear(print_given).
% 0.45/1.03  
% 0.45/1.03  % formulas(sos).  % not echoed (68 formulas)
% 0.45/1.03  
% 0.45/1.03  ============================== end of input ==========================
% 0.45/1.03  
% 0.45/1.03  % From the command line: assign(max_seconds, 300).
% 0.45/1.03  
% 0.45/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.03  
% 0.45/1.03  % Formulas that are not ordinary clauses:
% 0.45/1.03  
% 0.45/1.03  ============================== end of process non-clausal formulas ===
% 0.45/1.03  
% 0.45/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.03  
% 0.45/1.03  ============================== PREDICATE ELIMINATION =================
% 0.45/1.03  
% 0.45/1.03  ============================== end predicate elimination =============
% 0.45/1.03  
% 0.45/1.03  Auto_denials:  (non-Horn, no changes).
% 0.45/1.03  
% 0.45/1.03  Term ordering decisions:
% 0.45/1.03  Function symbol KB weights: 
% 0.45/1.03  
% 0.45/1.03  ============================== end of process initial clauses ========
% 0.45/1.03  
% 0.45/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.45/1.03  
% 0.45/1.03  ============================== end of clauses for search =============
% 0.45/1.03  
% 0.45/1.03  ============================== SEARCH ================================
% 0.45/1.03  
% 0.45/1.03  % Starting search at 0.02 seconds.
% 0.45/1.03  
% 0.45/1.03  ============================== PROOF =================================
% 0.45/1.03  % SZS status Unsatisfiable
% 0.45/1.03  % SZS output start Refutation
% 0.45/1.03  
% 0.45/1.03  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.45/1.03  % Length of proof is 34.
% 0.45/1.03  % Level of proof is 9.
% 0.45/1.03  % Maximum clause weight is 4.000.
% 0.45/1.03  % Given clauses 72.
% 0.45/1.03  
% 0.45/1.03  2 u_14 | p_2 # label(u_t3_1) # label(axiom).  [assumption].
% 0.45/1.03  3 u_15 | p_3 # label(u_t3_2) # label(axiom).  [assumption].
% 0.45/1.03  4 u_16 | q_2 # label(u_t3_3) # label(axiom).  [assumption].
% 0.45/1.03  6 -u_1 # label(u_1_s3_goal_1) # label(axiom).  [assumption].
% 0.45/1.03  12 p_0 | -u_3 # label(u_3_s3_type11_2) # label(axiom).  [assumption].
% 0.45/1.03  13 p_1 | -u_4 # label(u_4_s3_type11_3) # label(axiom).  [assumption].
% 0.45/1.03  15 q_0 | -u_6 # label(u_6_s3_type12_1) # label(axiom).  [assumption].
% 0.45/1.03  18 q_1 | -u_9 # label(u_9_s3_type12_4) # label(axiom).  [assumption].
% 0.45/1.03  23 p_2 | -u_14 # label(u_14_t3_1) # label(axiom).  [assumption].
% 0.45/1.03  24 p_3 | -u_15 # label(u_15_t3_2) # label(axiom).  [assumption].
% 0.45/1.03  25 q_2 | -u_16 # label(u_16_t3_3) # label(axiom).  [assumption].
% 0.45/1.03  43 u_1 | -p_0 | -q_0 # label(u_s3_goal_1) # label(negated_conjecture).  [assumption].
% 0.45/1.03  44 -p_0 | -q_0.  [copy(43),unit_del(a,6)].
% 0.45/1.03  56 u_3 | p_0 | -q_1 | -q_2 # label(u_s3_type11_2) # label(axiom).  [assumption].
% 0.45/1.03  57 u_4 | p_1 | -p_2 | -p_3 # label(u_s3_type11_3) # label(axiom).  [assumption].
% 0.45/1.03  59 u_6 | q_0 | -p_1 | -q_2 # label(u_s3_type12_1) # label(axiom).  [assumption].
% 0.45/1.03  62 u_9 | q_1 | -q_2 | -p_3 # label(u_s3_type12_4) # label(axiom).  [assumption].
% 0.45/1.03  71 p_2.  [resolve(23,b,2,a),merge(b)].
% 0.45/1.03  74 u_4 | p_1 | -p_3.  [back_unit_del(57),unit_del(c,71)].
% 0.45/1.03  77 p_3.  [resolve(24,b,3,a),merge(b)].
% 0.45/1.03  78 u_4 | p_1.  [back_unit_del(74),unit_del(c,77)].
% 0.45/1.03  79 u_9 | q_1 | -q_2.  [back_unit_del(62),unit_del(d,77)].
% 0.45/1.03  80 q_2.  [resolve(25,b,4,a),merge(b)].
% 0.45/1.03  81 u_9 | q_1.  [back_unit_del(79),unit_del(c,80)].
% 0.45/1.03  82 u_6 | q_0 | -p_1.  [back_unit_del(59),unit_del(d,80)].
% 0.45/1.03  84 u_3 | p_0 | -q_1.  [back_unit_del(56),unit_del(d,80)].
% 0.45/1.03  92 p_1.  [resolve(78,a,13,b),merge(b)].
% 0.45/1.03  93 u_6 | q_0.  [back_unit_del(82),unit_del(c,92)].
% 0.45/1.03  95 q_1.  [resolve(81,a,18,b),merge(b)].
% 0.45/1.03  96 u_3 | p_0.  [back_unit_del(84),unit_del(c,95)].
% 0.45/1.03  101 q_0.  [resolve(93,a,15,b),merge(b)].
% 0.45/1.03  102 -p_0.  [back_unit_del(44),unit_del(b,101)].
% 0.45/1.03  103 u_3.  [back_unit_del(96),unit_del(b,102)].
% 0.45/1.03  105 $F.  [back_unit_del(12),unit_del(a,102),unit_del(b,103)].
% 0.45/1.03  
% 0.45/1.03  % SZS output end Refutation
% 0.45/1.03  ============================== end of proof ==========================
% 0.45/1.03  
% 0.45/1.03  ============================== STATISTICS ============================
% 0.45/1.03  
% 0.45/1.03  Given=72. Generated=103. Kept=102. proofs=1.
% 0.45/1.03  Usable=46. Sos=3. Demods=0. Limbo=3, Disabled=118. Hints=0.
% 0.45/1.03  Megabytes=0.14.
% 0.45/1.03  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.45/1.03  
% 0.45/1.03  ============================== end of statistics =====================
% 0.45/1.03  
% 0.45/1.03  ============================== end of search =========================
% 0.45/1.03  
% 0.45/1.03  THEOREM PROVED
% 0.45/1.03  % SZS status Unsatisfiable
% 0.45/1.03  
% 0.45/1.03  Exiting with 1 proof.
% 0.45/1.03  
% 0.45/1.03  Process 19735 exit (max_proofs) Mon Jul 11 22:04:48 2022
% 0.45/1.03  Prover9 interrupted
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