TSTP Solution File: SYN365+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:18:37 EDT 2022

% Result   : Theorem 0.48s 1.02s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 17:01:38 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.48/1.02  ============================== Prover9 ===============================
% 0.48/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.48/1.02  Process 11358 was started by sandbox on n021.cluster.edu,
% 0.48/1.02  Mon Jul 11 17:01:39 2022
% 0.48/1.02  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11205_n021.cluster.edu".
% 0.48/1.02  ============================== end of head ===========================
% 0.48/1.02  
% 0.48/1.02  ============================== INPUT =================================
% 0.48/1.02  
% 0.48/1.02  % Reading from file /tmp/Prover9_11205_n021.cluster.edu
% 0.48/1.02  
% 0.48/1.02  set(prolog_style_variables).
% 0.48/1.02  set(auto2).
% 0.48/1.02      % set(auto2) -> set(auto).
% 0.48/1.02      % set(auto) -> set(auto_inference).
% 0.48/1.02      % set(auto) -> set(auto_setup).
% 0.48/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.48/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.48/1.02      % set(auto) -> set(auto_limits).
% 0.48/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.48/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.48/1.02      % set(auto) -> set(auto_denials).
% 0.48/1.02      % set(auto) -> set(auto_process).
% 0.48/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.48/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.48/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.48/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.48/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.48/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.48/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.48/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.48/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.48/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.48/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.48/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.48/1.02      % set(auto2) -> assign(stats, some).
% 0.48/1.02      % set(auto2) -> clear(echo_input).
% 0.48/1.02      % set(auto2) -> set(quiet).
% 0.48/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.48/1.02      % set(auto2) -> clear(print_given).
% 0.48/1.02  assign(lrs_ticks,-1).
% 0.48/1.02  assign(sos_limit,10000).
% 0.48/1.02  assign(order,kbo).
% 0.48/1.02  set(lex_order_vars).
% 0.48/1.02  clear(print_given).
% 0.48/1.02  
% 0.48/1.02  % formulas(sos).  % not echoed (1 formulas)
% 0.48/1.02  
% 0.48/1.02  ============================== end of input ==========================
% 0.48/1.02  
% 0.48/1.02  % From the command line: assign(max_seconds, 300).
% 0.48/1.02  
% 0.48/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.48/1.02  
% 0.48/1.02  % Formulas that are not ordinary clauses:
% 0.48/1.02  1 -((all X exists Y (big_p(X) -> big_r(X,g(h(Y))) & big_p(Y))) & (all W (big_p(W) -> big_p(g(W)) & big_p(h(W)))) -> (all X (big_p(X) -> (exists Y (big_r(X,Y) & big_p(Y)))))) # label(x2116) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.48/1.02  
% 0.48/1.02  ============================== end of process non-clausal formulas ===
% 0.48/1.02  
% 0.48/1.02  ============================== PROCESS INITIAL CLAUSES ===============
% 0.48/1.02  
% 0.48/1.02  ============================== PREDICATE ELIMINATION =================
% 0.48/1.02  2 -big_p(A) | big_r(A,g(h(f1(A)))) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  3 -big_r(c1,A) | -big_p(A) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  Derived: -big_p(c1) | -big_p(g(h(f1(c1)))).  [resolve(2,b,3,a)].
% 0.48/1.02  
% 0.48/1.02  ============================== end predicate elimination =============
% 0.48/1.02  
% 0.48/1.02  Auto_denials:  (no changes).
% 0.48/1.02  
% 0.48/1.02  Term ordering decisions:
% 0.48/1.02  Function symbol KB weights:  c1=1. g=1. h=1. f1=1.
% 0.48/1.02  
% 0.48/1.02  ============================== end of process initial clauses ========
% 0.48/1.02  
% 0.48/1.02  ============================== CLAUSES FOR SEARCH ====================
% 0.48/1.02  
% 0.48/1.02  ============================== end of clauses for search =============
% 0.48/1.02  
% 0.48/1.02  ============================== SEARCH ================================
% 0.48/1.02  
% 0.48/1.02  % Starting search at 0.01 seconds.
% 0.48/1.02  
% 0.48/1.02  ============================== PROOF =================================
% 0.48/1.02  % SZS status Theorem
% 0.48/1.02  % SZS output start Refutation
% 0.48/1.02  
% 0.48/1.02  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.48/1.02  % Length of proof is 12.
% 0.48/1.02  % Level of proof is 5.
% 0.48/1.02  % Maximum clause weight is 5.000.
% 0.48/1.02  % Given clauses 6.
% 0.48/1.02  
% 0.48/1.02  1 -((all X exists Y (big_p(X) -> big_r(X,g(h(Y))) & big_p(Y))) & (all W (big_p(W) -> big_p(g(W)) & big_p(h(W)))) -> (all X (big_p(X) -> (exists Y (big_r(X,Y) & big_p(Y)))))) # label(x2116) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.48/1.02  2 -big_p(A) | big_r(A,g(h(f1(A)))) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  3 -big_r(c1,A) | -big_p(A) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  4 big_p(c1) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  5 -big_p(A) | big_p(f1(A)) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  6 -big_p(A) | big_p(g(A)) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  7 -big_p(A) | big_p(h(A)) # label(x2116) # label(negated_conjecture).  [clausify(1)].
% 0.48/1.02  8 -big_p(c1) | -big_p(g(h(f1(c1)))).  [resolve(2,b,3,a)].
% 0.48/1.02  9 -big_p(g(h(f1(c1)))).  [copy(8),unit_del(a,4)].
% 0.48/1.02  10 big_p(f1(c1)).  [ur(5,a,4,a)].
% 0.48/1.02  13 -big_p(h(f1(c1))).  [resolve(9,a,6,b)].
% 0.48/1.02  14 $F.  [ur(7,a,10,a),unit_del(a,13)].
% 0.48/1.02  
% 0.48/1.02  % SZS output end Refutation
% 0.48/1.02  ============================== end of proof ==========================
% 0.48/1.02  
% 0.48/1.02  ============================== STATISTICS ============================
% 0.48/1.02  
% 0.48/1.02  Given=6. Generated=11. Kept=9. proofs=1.
% 0.48/1.02  Usable=6. Sos=3. Demods=0. Limbo=0, Disabled=7. Hints=0.
% 0.48/1.02  Megabytes=0.03.
% 0.48/1.02  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.48/1.02  
% 0.48/1.02  ============================== end of statistics =====================
% 0.48/1.02  
% 0.48/1.02  ============================== end of search =========================
% 0.48/1.02  
% 0.48/1.02  THEOREM PROVED
% 0.48/1.02  % SZS status Theorem
% 0.48/1.02  
% 0.48/1.02  Exiting with 1 proof.
% 0.48/1.02  
% 0.48/1.02  Process 11358 exit (max_proofs) Mon Jul 11 17:01:39 2022
% 0.48/1.02  Prover9 interrupted
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