TSTP Solution File: KRS095+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : KRS095+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n023.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 03:24:57 EDT 2022

% Result   : Unsatisfiable 0.43s 0.99s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS095+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 06:35:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/0.99  ============================== Prover9 ===============================
% 0.43/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.43/0.99  Process 11395 was started by sandbox on n023.cluster.edu,
% 0.43/0.99  Tue Jun  7 06:35:24 2022
% 0.43/0.99  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11242_n023.cluster.edu".
% 0.43/0.99  ============================== end of head ===========================
% 0.43/0.99  
% 0.43/0.99  ============================== INPUT =================================
% 0.43/0.99  
% 0.43/0.99  % Reading from file /tmp/Prover9_11242_n023.cluster.edu
% 0.43/0.99  
% 0.43/0.99  set(prolog_style_variables).
% 0.43/0.99  set(auto2).
% 0.43/0.99      % set(auto2) -> set(auto).
% 0.43/0.99      % set(auto) -> set(auto_inference).
% 0.43/0.99      % set(auto) -> set(auto_setup).
% 0.43/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.43/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/0.99      % set(auto) -> set(auto_limits).
% 0.43/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/0.99      % set(auto) -> set(auto_denials).
% 0.43/0.99      % set(auto) -> set(auto_process).
% 0.43/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.43/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.43/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.43/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.43/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.43/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.43/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.43/0.99      % set(auto2) -> assign(stats, some).
% 0.43/0.99      % set(auto2) -> clear(echo_input).
% 0.43/0.99      % set(auto2) -> set(quiet).
% 0.43/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.43/0.99      % set(auto2) -> clear(print_given).
% 0.43/0.99  assign(lrs_ticks,-1).
% 0.43/0.99  assign(sos_limit,10000).
% 0.43/0.99  assign(order,kbo).
% 0.43/0.99  set(lex_order_vars).
% 0.43/0.99  clear(print_given).
% 0.43/0.99  
% 0.43/0.99  % formulas(sos).  % not echoed (14 formulas)
% 0.43/0.99  
% 0.43/0.99  ============================== end of input ==========================
% 0.43/0.99  
% 0.43/0.99  % From the command line: assign(max_seconds, 300).
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/0.99  
% 0.43/0.99  % Formulas that are not ordinary clauses:
% 0.43/0.99  1 (all A all B (A = B & cUnsatisfiable(A) -> cUnsatisfiable(B))) # label(cUnsatisfiable_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  2 (all A all B (A = B & cc(A) -> cc(B))) # label(cc_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  3 (all A all B (A = B & cd(A) -> cd(B))) # label(cd_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  4 (all A all B (A = B & cowlNothing(A) -> cowlNothing(B))) # label(cowlNothing_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  5 (all A all B (A = B & cowlThing(A) -> cowlThing(B))) # label(cowlThing_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  6 (all A all B all C (A = B & rr(A,C) -> rr(B,C))) # label(rr_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  7 (all A all B all C (A = B & rr(C,A) -> rr(C,B))) # label(rr_substitution_2) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  8 (all A all B (A = B & xsd_integer(A) -> xsd_integer(B))) # label(xsd_integer_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  9 (all A all B (A = B & xsd_string(A) -> xsd_string(B))) # label(xsd_string_substitution_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  10 (all X (cowlThing(X) & -cowlNothing(X))) # label(axiom_0) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  11 (all X (xsd_string(X) <-> -xsd_integer(X))) # label(axiom_1) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  12 (all X (cUnsatisfiable(X) <-> (exists Y0 exists Y1 (rr(X,Y0) & rr(X,Y1) & Y0 != Y1)) & (all Y0 all Y1 (rr(X,Y0) & rr(X,Y1) -> Y0 = Y1)))) # label(axiom_2) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  13 (all X (cc(X) -> -cd(X))) # label(axiom_3) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  
% 0.43/0.99  ============================== end of process non-clausal formulas ===
% 0.43/0.99  
% 0.43/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/0.99  
% 0.43/0.99  ============================== PREDICATE ELIMINATION =================
% 0.43/0.99  
% 0.43/0.99  ============================== end predicate elimination =============
% 0.43/0.99  
% 0.43/0.99  Auto_denials:  (non-Horn, no changes).
% 0.43/0.99  
% 0.43/0.99  Term ordering decisions:
% 0.43/0.99  Function symbol KB weights:  i2003_11_14_17_20_14253=1. f1=1. f2=1. f3=1. f4=1.
% 0.43/0.99  
% 0.43/0.99  ============================== end of process initial clauses ========
% 0.43/0.99  
% 0.43/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of clauses for search =============
% 0.43/0.99  
% 0.43/0.99  ============================== SEARCH ================================
% 0.43/0.99  
% 0.43/0.99  % Starting search at 0.01 seconds.
% 0.43/0.99  
% 0.43/0.99  ============================== PROOF =================================
% 0.43/0.99  % SZS status Unsatisfiable
% 0.43/0.99  % SZS output start Refutation
% 0.43/0.99  
% 0.43/0.99  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.43/0.99  % Length of proof is 10.
% 0.43/0.99  % Level of proof is 3.
% 0.43/0.99  % Maximum clause weight is 11.000.
% 0.43/0.99  % Given clauses 22.
% 0.43/0.99  
% 0.43/0.99  12 (all X (cUnsatisfiable(X) <-> (exists Y0 exists Y1 (rr(X,Y0) & rr(X,Y1) & Y0 != Y1)) & (all Y0 all Y1 (rr(X,Y0) & rr(X,Y1) -> Y0 = Y1)))) # label(axiom_2) # label(axiom) # label(non_clause).  [assumption].
% 0.43/0.99  15 cUnsatisfiable(i2003_11_14_17_20_14253) # label(axiom_4) # label(axiom).  [assumption].
% 0.43/0.99  20 -cUnsatisfiable(A) | f2(A) != f1(A) # label(axiom_2) # label(axiom).  [clausify(12)].
% 0.43/0.99  21 -cUnsatisfiable(A) | rr(A,f1(A)) # label(axiom_2) # label(axiom).  [clausify(12)].
% 0.43/0.99  22 -cUnsatisfiable(A) | rr(A,f2(A)) # label(axiom_2) # label(axiom).  [clausify(12)].
% 0.43/0.99  32 -cUnsatisfiable(A) | -rr(A,B) | -rr(A,C) | C = B # label(axiom_2) # label(axiom).  [clausify(12)].
% 0.43/0.99  36 f2(i2003_11_14_17_20_14253) != f1(i2003_11_14_17_20_14253).  [resolve(20,a,15,a)].
% 0.43/0.99  37 rr(i2003_11_14_17_20_14253,f1(i2003_11_14_17_20_14253)).  [resolve(21,a,15,a)].
% 0.43/0.99  38 rr(i2003_11_14_17_20_14253,f2(i2003_11_14_17_20_14253)).  [resolve(22,a,15,a)].
% 0.43/0.99  44 $F.  [ur(32,a,15,a,c,37,a,d,36,a(flip)),unit_del(a,38)].
% 0.43/0.99  
% 0.43/0.99  % SZS output end Refutation
% 0.43/0.99  ============================== end of proof ==========================
% 0.43/0.99  
% 0.43/0.99  ============================== STATISTICS ============================
% 0.43/0.99  
% 0.43/0.99  Given=22. Generated=44. Kept=28. proofs=1.
% 0.43/0.99  Usable=22. Sos=3. Demods=0. Limbo=3, Disabled=22. Hints=0.
% 0.43/0.99  Megabytes=0.07.
% 0.43/0.99  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/0.99  
% 0.43/0.99  ============================== end of statistics =====================
% 0.43/0.99  
% 0.43/0.99  ============================== end of search =========================
% 0.43/0.99  
% 0.43/0.99  THEOREM PROVED
% 0.43/0.99  % SZS status Unsatisfiable
% 0.43/0.99  
% 0.43/0.99  Exiting with 1 proof.
% 0.43/0.99  
% 0.43/0.99  Process 11395 exit (max_proofs) Tue Jun  7 06:35:24 2022
% 0.43/0.99  Prover9 interrupted
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