TSTP Solution File: FLD060-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : FLD060-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Sat Jul 16 02:24:27 EDT 2022

% Result   : Unsatisfiable 12.91s 13.16s
% Output   : Refutation 12.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : FLD060-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.15  % Command  : tptp2X_and_run_prover9 %d %s
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jun  6 11:04:33 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 12.91/13.16  ============================== Prover9 ===============================
% 12.91/13.16  Prover9 (32) version 2009-11A, November 2009.
% 12.91/13.16  Process 2113 was started by sandbox2 on n025.cluster.edu,
% 12.91/13.16  Mon Jun  6 11:04:33 2022
% 12.91/13.16  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1953_n025.cluster.edu".
% 12.91/13.16  ============================== end of head ===========================
% 12.91/13.16  
% 12.91/13.16  ============================== INPUT =================================
% 12.91/13.16  
% 12.91/13.16  % Reading from file /tmp/Prover9_1953_n025.cluster.edu
% 12.91/13.16  
% 12.91/13.16  set(prolog_style_variables).
% 12.91/13.16  set(auto2).
% 12.91/13.16      % set(auto2) -> set(auto).
% 12.91/13.16      % set(auto) -> set(auto_inference).
% 12.91/13.16      % set(auto) -> set(auto_setup).
% 12.91/13.16      % set(auto_setup) -> set(predicate_elim).
% 12.91/13.16      % set(auto_setup) -> assign(eq_defs, unfold).
% 12.91/13.16      % set(auto) -> set(auto_limits).
% 12.91/13.16      % set(auto_limits) -> assign(max_weight, "100.000").
% 12.91/13.16      % set(auto_limits) -> assign(sos_limit, 20000).
% 12.91/13.16      % set(auto) -> set(auto_denials).
% 12.91/13.16      % set(auto) -> set(auto_process).
% 12.91/13.16      % set(auto2) -> assign(new_constants, 1).
% 12.91/13.16      % set(auto2) -> assign(fold_denial_max, 3).
% 12.91/13.16      % set(auto2) -> assign(max_weight, "200.000").
% 12.91/13.16      % set(auto2) -> assign(max_hours, 1).
% 12.91/13.16      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 12.91/13.16      % set(auto2) -> assign(max_seconds, 0).
% 12.91/13.16      % set(auto2) -> assign(max_minutes, 5).
% 12.91/13.16      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 12.91/13.16      % set(auto2) -> set(sort_initial_sos).
% 12.91/13.16      % set(auto2) -> assign(sos_limit, -1).
% 12.91/13.16      % set(auto2) -> assign(lrs_ticks, 3000).
% 12.91/13.16      % set(auto2) -> assign(max_megs, 400).
% 12.91/13.16      % set(auto2) -> assign(stats, some).
% 12.91/13.16      % set(auto2) -> clear(echo_input).
% 12.91/13.16      % set(auto2) -> set(quiet).
% 12.91/13.16      % set(auto2) -> clear(print_initial_clauses).
% 12.91/13.16      % set(auto2) -> clear(print_given).
% 12.91/13.16  assign(lrs_ticks,-1).
% 12.91/13.16  assign(sos_limit,10000).
% 12.91/13.16  assign(order,kbo).
% 12.91/13.16  set(lex_order_vars).
% 12.91/13.16  clear(print_given).
% 12.91/13.16  
% 12.91/13.16  % formulas(sos).  % not echoed (31 formulas)
% 12.91/13.16  
% 12.91/13.16  ============================== end of input ==========================
% 12.91/13.16  
% 12.91/13.16  % From the command line: assign(max_seconds, 300).
% 12.91/13.16  
% 12.91/13.16  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 12.91/13.16  
% 12.91/13.16  % Formulas that are not ordinary clauses:
% 12.91/13.16  
% 12.91/13.16  ============================== end of process non-clausal formulas ===
% 12.91/13.16  
% 12.91/13.16  ============================== PROCESS INITIAL CLAUSES ===============
% 12.91/13.16  
% 12.91/13.16  ============================== PREDICATE ELIMINATION =================
% 12.91/13.16  
% 12.91/13.16  ============================== end predicate elimination =============
% 12.91/13.16  
% 12.91/13.16  Auto_denials:  (non-Horn, no changes).
% 12.91/13.16  
% 12.91/13.16  Term ordering decisions:
% 12.91/13.16  Function symbol KB weights:  additive_identity=1. multiplicative_identity=1. a=1. b=1. add=1. multiply=1. additive_inverse=1. multiplicative_inverse=1.
% 12.91/13.16  
% 12.91/13.16  ============================== end of process initial clauses ========
% 12.91/13.16  
% 12.91/13.16  ============================== CLAUSES FOR SEARCH ====================
% 12.91/13.16  
% 12.91/13.16  ============================== end of clauses for search =============
% 12.91/13.16  
% 12.91/13.16  ============================== SEARCH ================================
% 12.91/13.16  
% 12.91/13.16  % Starting search at 0.01 seconds.
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=34.000, iters=3363
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=30.000, iters=3341
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=29.000, iters=3336
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=27.000, iters=3370
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=25.000, iters=3336
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=24.000, iters=3344
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=23.000, iters=3348
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=21.000, iters=3353
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=19.000, iters=3338
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=18.000, iters=3348
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=15.000, iters=3401
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=13.000, iters=3358
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=12.000, iters=3335
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=11.000, iters=5636
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=9.000, iters=4414
% 12.91/13.16  
% 12.91/13.16  Low Water (keep): wt=8.000, iters=3444
% 12.91/13.16  
% 12.91/13.16  Low Water (displace): id=5556, wt=34.000
% 12.91/13.16  
% 12.91/13.16  Low Water (displace): id=10431, wt=11.000
% 12.91/13.16  
% 12.91/13.16  Low Water (displace): id=10432, wt=10.000
% 12.91/13.16  
% 12.91/13.16  Low Water (displace): id=10664, wt=8.000
% 12.91/13.16  
% 12.91/13.16  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1035 (0.00 of 0.49 sec).
% 12.91/13.16  
% 12.91/13.16  Low Water (displace): id=24762, wt=7.000
% 12.91/13.16  
% 12.91/13.16  ============================== PROOF =================================
% 12.91/13.16  % SZS status Unsatisfiable
% 12.91/13.16  % SZS output start Refutation
% 12.91/13.16  
% 12.91/13.16  % Proof 1 at 10.94 (+ 1.18) seconds.
% 12.91/13.16  % Length of proof is 15.
% 12.91/13.16  % Level of proof is 4.
% 12.91/13.16  % Maximum clause weight is 12.000.
% 12.91/13.16  % Given clauses 4360.
% 12.91/13.16  
% 12.91/13.16  3 defined(a) # label(a_is_defined) # label(hypothesis).  [assumption].
% 12.91/13.16  4 defined(b) # label(b_is_defined) # label(hypothesis).  [assumption].
% 12.91/13.16  5 less_or_equal(a,b) # label(less_or_equal_3) # label(negated_conjecture).  [assumption].
% 12.91/13.16  7 -less_or_equal(add(a,a),add(b,b)) # label(not_less_or_equal_4) # label(negated_conjecture).  [assumption].
% 12.91/13.16  18 less_or_equal(A,B) | -less_or_equal(A,C) | -less_or_equal(C,B) # label(transitivity_of_order_relation) # label(axiom).  [assumption].
% 12.91/13.16  20 less_or_equal(A,B) | -less_or_equal(C,B) | -equalish(C,A) # label(compatibility_of_equality_and_order_relation) # label(axiom).  [assumption].
% 12.91/13.16  22 equalish(add(A,B),add(B,A)) | -defined(A) | -defined(B) # label(commutativity_addition) # label(axiom).  [assumption].
% 12.91/13.16  26 less_or_equal(add(A,B),add(C,B)) | -defined(B) | -less_or_equal(A,C) # label(compatibility_of_order_relation_and_addition) # label(axiom).  [assumption].
% 12.91/13.16  105 equalish(add(a,A),add(A,a)) | -defined(A).  [resolve(22,b,3,a)].
% 12.91/13.16  123 less_or_equal(add(a,A),add(b,A)) | -defined(A).  [resolve(26,c,5,a)].
% 12.91/13.16  8609 equalish(add(a,b),add(b,a)).  [resolve(105,b,4,a)].
% 12.91/13.16  10512 less_or_equal(add(a,b),add(b,b)).  [resolve(123,b,4,a)].
% 12.91/13.16  10513 less_or_equal(add(a,a),add(b,a)).  [resolve(123,b,3,a)].
% 12.91/13.16  47360 -less_or_equal(add(b,a),add(b,b)).  [ur(18,a,7,a,b,10513,a)].
% 12.91/13.16  47374 $F.  [ur(20,a,47360,a,c,8609,a),unit_del(a,10512)].
% 12.91/13.16  
% 12.91/13.16  % SZS output end Refutation
% 12.91/13.16  ============================== end of proof ==========================
% 12.91/13.16  
% 12.91/13.16  ============================== STATISTICS ============================
% 12.91/13.16  
% 12.91/13.16  Given=4360. Generated=2372469. Kept=47373. proofs=1.
% 12.91/13.16  Usable=4360. Sos=9957. Demods=0. Limbo=0, Disabled=33087. Hints=0.
% 12.91/13.16  Megabytes=20.23.
% 12.91/13.16  User_CPU=10.94, System_CPU=1.18, Wall_clock=13.
% 12.91/13.16  
% 12.91/13.16  ============================== end of statistics =====================
% 12.91/13.16  
% 12.91/13.16  ============================== end of search =========================
% 12.91/13.16  
% 12.91/13.16  THEOREM PROVED
% 12.91/13.16  % SZS status Unsatisfiable
% 12.91/13.16  
% 12.91/13.16  Exiting with 1 proof.
% 12.91/13.16  
% 12.91/13.16  Process 2113 exit (max_proofs) Mon Jun  6 11:04:46 2022
% 12.91/13.16  Prover9 interrupted
%------------------------------------------------------------------------------