TSTP Solution File: SYN375+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN375+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n006.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 11:18:41 EDT 2022

% Result   : Theorem 0.74s 1.00s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN375+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 21:28:20 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.74/1.00  ============================== Prover9 ===============================
% 0.74/1.00  Prover9 (32) version 2009-11A, November 2009.
% 0.74/1.00  Process 31108 was started by sandbox2 on n006.cluster.edu,
% 0.74/1.00  Mon Jul 11 21:28:21 2022
% 0.74/1.00  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_30945_n006.cluster.edu".
% 0.74/1.00  ============================== end of head ===========================
% 0.74/1.00  
% 0.74/1.00  ============================== INPUT =================================
% 0.74/1.00  
% 0.74/1.00  % Reading from file /tmp/Prover9_30945_n006.cluster.edu
% 0.74/1.00  
% 0.74/1.00  set(prolog_style_variables).
% 0.74/1.00  set(auto2).
% 0.74/1.00      % set(auto2) -> set(auto).
% 0.74/1.00      % set(auto) -> set(auto_inference).
% 0.74/1.00      % set(auto) -> set(auto_setup).
% 0.74/1.00      % set(auto_setup) -> set(predicate_elim).
% 0.74/1.00      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.74/1.00      % set(auto) -> set(auto_limits).
% 0.74/1.00      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.74/1.00      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.74/1.00      % set(auto) -> set(auto_denials).
% 0.74/1.00      % set(auto) -> set(auto_process).
% 0.74/1.00      % set(auto2) -> assign(new_constants, 1).
% 0.74/1.00      % set(auto2) -> assign(fold_denial_max, 3).
% 0.74/1.00      % set(auto2) -> assign(max_weight, "200.000").
% 0.74/1.00      % set(auto2) -> assign(max_hours, 1).
% 0.74/1.00      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.74/1.00      % set(auto2) -> assign(max_seconds, 0).
% 0.74/1.00      % set(auto2) -> assign(max_minutes, 5).
% 0.74/1.00      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.74/1.00      % set(auto2) -> set(sort_initial_sos).
% 0.74/1.00      % set(auto2) -> assign(sos_limit, -1).
% 0.74/1.00      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.74/1.00      % set(auto2) -> assign(max_megs, 400).
% 0.74/1.00      % set(auto2) -> assign(stats, some).
% 0.74/1.00      % set(auto2) -> clear(echo_input).
% 0.74/1.00      % set(auto2) -> set(quiet).
% 0.74/1.00      % set(auto2) -> clear(print_initial_clauses).
% 0.74/1.00      % set(auto2) -> clear(print_given).
% 0.74/1.00  assign(lrs_ticks,-1).
% 0.74/1.00  assign(sos_limit,10000).
% 0.74/1.00  assign(order,kbo).
% 0.74/1.00  set(lex_order_vars).
% 0.74/1.00  clear(print_given).
% 0.74/1.00  
% 0.74/1.00  % formulas(sos).  % not echoed (1 formulas)
% 0.74/1.00  
% 0.74/1.00  ============================== end of input ==========================
% 0.74/1.00  
% 0.74/1.00  % From the command line: assign(max_seconds, 300).
% 0.74/1.00  
% 0.74/1.00  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.74/1.00  
% 0.74/1.00  % Formulas that are not ordinary clauses:
% 0.74/1.00  1 -((all X (big_p(X) <-> (exists Y big_p(Y)))) <-> ((all X big_p(X)) <-> (exists Y big_p(Y)))) # label(x2126) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.74/1.00  
% 0.74/1.00  ============================== end of process non-clausal formulas ===
% 0.74/1.00  
% 0.74/1.00  ============================== PROCESS INITIAL CLAUSES ===============
% 0.74/1.00  
% 0.74/1.00  ============================== PREDICATE ELIMINATION =================
% 0.74/1.00  
% 0.74/1.00  ============================== end predicate elimination =============
% 0.74/1.00  
% 0.74/1.00  Auto_denials:  (non-Horn, no changes).
% 0.74/1.00  
% 0.74/1.00  Term ordering decisions:
% 0.74/1.00  
% 0.74/1.00  % Assigning unary symbol f1 kb_weight 0 and highest precedence (8).
% 0.74/1.00  Function symbol KB weights:  c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. f1=0.
% 0.74/1.00  
% 0.74/1.00  ============================== end of process initial clauses ========
% 0.74/1.00  
% 0.74/1.00  ============================== CLAUSES FOR SEARCH ====================
% 0.74/1.00  
% 0.74/1.00  ============================== end of clauses for search =============
% 0.74/1.00  
% 0.74/1.00  ============================== SEARCH ================================
% 0.74/1.00  
% 0.74/1.00  % Starting search at 0.01 seconds.
% 0.74/1.00  
% 0.74/1.00  ============================== PROOF =================================
% 0.74/1.00  % SZS status Theorem
% 0.74/1.00  % SZS output start Refutation
% 0.74/1.00  
% 0.74/1.00  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.74/1.00  % Length of proof is 16.
% 0.74/1.00  % Level of proof is 10.
% 0.74/1.00  % Maximum clause weight is 8.000.
% 0.74/1.00  % Given clauses 5.
% 0.74/1.00  
% 0.74/1.00  1 -((all X (big_p(X) <-> (exists Y big_p(Y)))) <-> ((all X big_p(X)) <-> (exists Y big_p(Y)))) # label(x2126) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.74/1.00  2 big_p(c3) | big_p(c4) | big_p(A) | big_p(c5) # label(x2126) # label(negated_conjecture).  [clausify(1)].
% 0.74/1.00  3 -big_p(c3) | -big_p(A) | -big_p(c6) | -big_p(B) # label(x2126) # label(negated_conjecture).  [clausify(1)].
% 0.74/1.00  5 big_p(A) | -big_p(B) | big_p(C) | -big_p(D) # label(x2126) # label(negated_conjecture).  [clausify(1)].
% 0.74/1.00  6 big_p(c3) | big_p(c4) | big_p(c5).  [factor(2,a,c)].
% 0.74/1.00  7 -big_p(c3) | -big_p(c6) | -big_p(A).  [factor(3,a,b)].
% 0.74/1.00  10 big_p(A) | -big_p(B) | -big_p(C).  [factor(5,a,c)].
% 0.74/1.00  12 -big_p(c3) | -big_p(c6).  [factor(7,a,c)].
% 0.74/1.00  14 big_p(A) | -big_p(B).  [factor(10,b,c)].
% 0.74/1.00  15 big_p(A) | big_p(c3) | big_p(c4).  [resolve(14,b,6,c)].
% 0.74/1.00  16 big_p(c3) | big_p(c4).  [factor(15,a,b)].
% 0.74/1.00  17 big_p(c3) | big_p(A).  [resolve(16,b,14,b)].
% 0.74/1.00  18 big_p(c3).  [factor(17,a,b)].
% 0.74/1.00  19 -big_p(c6).  [back_unit_del(12),unit_del(a,18)].
% 0.74/1.00  20 -big_p(A).  [ur(14,a,19,a)].
% 0.74/1.00  21 $F.  [resolve(20,a,18,a)].
% 0.74/1.00  
% 0.74/1.00  % SZS output end Refutation
% 0.74/1.00  ============================== end of proof ==========================
% 0.74/1.00  
% 0.74/1.00  ============================== STATISTICS ============================
% 0.74/1.00  
% 0.74/1.00  Given=5. Generated=33. Kept=19. proofs=1.
% 0.74/1.00  Usable=2. Sos=1. Demods=0. Limbo=0, Disabled=23. Hints=0.
% 0.74/1.00  Megabytes=0.03.
% 0.74/1.00  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.74/1.00  
% 0.74/1.00  ============================== end of statistics =====================
% 0.74/1.00  
% 0.74/1.00  ============================== end of search =========================
% 0.74/1.00  
% 0.74/1.00  THEOREM PROVED
% 0.74/1.00  % SZS status Theorem
% 0.74/1.00  
% 0.74/1.00  Exiting with 1 proof.
% 0.74/1.00  
% 0.74/1.00  Process 31108 exit (max_proofs) Mon Jul 11 21:28:21 2022
% 0.74/1.00  Prover9 interrupted
%------------------------------------------------------------------------------