TSTP Solution File: SYN356+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n013.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 11:18:31 EDT 2022

% Result   : Theorem 0.43s 1.05s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN356+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n013.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 Jul 12 03:07:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.05  ============================== Prover9 ===============================
% 0.43/1.05  Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.05  Process 11939 was started by sandbox2 on n013.cluster.edu,
% 0.43/1.05  Tue Jul 12 03:07:30 2022
% 0.43/1.05  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_11785_n013.cluster.edu".
% 0.43/1.05  ============================== end of head ===========================
% 0.43/1.05  
% 0.43/1.05  ============================== INPUT =================================
% 0.43/1.05  
% 0.43/1.05  % Reading from file /tmp/Prover9_11785_n013.cluster.edu
% 0.43/1.05  
% 0.43/1.05  set(prolog_style_variables).
% 0.43/1.05  set(auto2).
% 0.43/1.05      % set(auto2) -> set(auto).
% 0.43/1.05      % set(auto) -> set(auto_inference).
% 0.43/1.05      % set(auto) -> set(auto_setup).
% 0.43/1.05      % set(auto_setup) -> set(predicate_elim).
% 0.43/1.05      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.05      % set(auto) -> set(auto_limits).
% 0.43/1.05      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.05      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.05      % set(auto) -> set(auto_denials).
% 0.43/1.05      % set(auto) -> set(auto_process).
% 0.43/1.05      % set(auto2) -> assign(new_constants, 1).
% 0.43/1.05      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.05      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.05      % set(auto2) -> assign(max_hours, 1).
% 0.43/1.05      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.05      % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.05      % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.05      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.05      % set(auto2) -> set(sort_initial_sos).
% 0.43/1.05      % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.05      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.05      % set(auto2) -> assign(max_megs, 400).
% 0.43/1.05      % set(auto2) -> assign(stats, some).
% 0.43/1.05      % set(auto2) -> clear(echo_input).
% 0.43/1.05      % set(auto2) -> set(quiet).
% 0.43/1.05      % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.05      % set(auto2) -> clear(print_given).
% 0.43/1.05  assign(lrs_ticks,-1).
% 0.43/1.05  assign(sos_limit,10000).
% 0.43/1.05  assign(order,kbo).
% 0.43/1.05  set(lex_order_vars).
% 0.43/1.05  clear(print_given).
% 0.43/1.05  
% 0.43/1.05  % formulas(sos).  % not echoed (1 formulas)
% 0.43/1.05  
% 0.43/1.05  ============================== end of input ==========================
% 0.43/1.05  
% 0.43/1.05  % From the command line: assign(max_seconds, 300).
% 0.43/1.05  
% 0.43/1.05  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.05  
% 0.43/1.05  % Formulas that are not ordinary clauses:
% 0.43/1.05  1 -(big_r(a,b) & (all X all Y (big_r(X,Y) -> big_r(Y,X) & big_q(X,Y))) & (all U all V (big_q(U,V) -> big_q(U,U))) -> big_q(a,a) & big_q(b,b)) # label(x2107) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.05  
% 0.43/1.05  ============================== end of process non-clausal formulas ===
% 0.43/1.05  
% 0.43/1.05  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.05  
% 0.43/1.05  ============================== PREDICATE ELIMINATION =================
% 0.43/1.05  
% 0.43/1.05  ============================== end predicate elimination =============
% 0.43/1.05  
% 0.43/1.05  Auto_denials:
% 0.43/1.05    % copying label x2107 to answer in negative clause
% 0.43/1.05  
% 0.43/1.05  Term ordering decisions:
% 0.43/1.05  Function symbol KB weights:  a=1. b=1.
% 0.43/1.05  
% 0.43/1.05  ============================== end of process initial clauses ========
% 0.43/1.05  
% 0.43/1.05  ============================== CLAUSES FOR SEARCH ====================
% 0.43/1.05  
% 0.43/1.05  ============================== end of clauses for search =============
% 0.43/1.05  
% 0.43/1.05  ============================== SEARCH ================================
% 0.43/1.05  
% 0.43/1.05  % Starting search at 0.01 seconds.
% 0.43/1.05  
% 0.43/1.05  ============================== PROOF =================================
% 0.43/1.05  % SZS status Theorem
% 0.43/1.05  % SZS output start Refutation
% 0.43/1.05  
% 0.43/1.05  % Proof 1 at 0.01 (+ 0.00) seconds: x2107.
% 0.43/1.05  % Length of proof is 13.
% 0.43/1.05  % Level of proof is 5.
% 0.43/1.05  % Maximum clause weight is 6.000.
% 0.43/1.05  % Given clauses 11.
% 0.43/1.05  
% 0.43/1.05  1 -(big_r(a,b) & (all X all Y (big_r(X,Y) -> big_r(Y,X) & big_q(X,Y))) & (all U all V (big_q(U,V) -> big_q(U,U))) -> big_q(a,a) & big_q(b,b)) # label(x2107) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.05  2 big_r(a,b) # label(x2107) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.05  3 -big_q(a,a) | -big_q(b,b) # label(x2107) # label(negated_conjecture) # answer(x2107).  [clausify(1)].
% 0.43/1.05  4 -big_r(A,B) | big_r(B,A) # label(x2107) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.05  5 -big_r(A,B) | big_q(A,B) # label(x2107) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.05  6 -big_q(A,B) | big_q(A,A) # label(x2107) # label(negated_conjecture).  [clausify(1)].
% 0.43/1.05  7 big_r(b,a).  [ur(4,a,2,a)].
% 0.43/1.05  10 big_q(a,b).  [ur(5,a,2,a)].
% 0.43/1.05  11 -big_q(b,A) | -big_q(a,a) # answer(x2107).  [resolve(6,b,3,b)].
% 0.43/1.05  17 -big_q(a,a) | -big_r(b,A) # answer(x2107).  [resolve(11,a,5,b)].
% 0.43/1.05  21 big_q(a,a).  [ur(6,a,10,a)].
% 0.43/1.05  22 -big_r(b,A) # answer(x2107).  [back_unit_del(17),unit_del(a,21)].
% 0.43/1.05  23 $F # answer(x2107).  [resolve(22,a,7,a)].
% 0.43/1.05  
% 0.43/1.05  % SZS output end Refutation
% 0.43/1.05  ============================== end of proof ==========================
% 0.43/1.05  
% 0.43/1.05  ============================== STATISTICS ============================
% 0.43/1.05  
% 0.43/1.05  Given=11. Generated=30. Kept=21. proofs=1.
% 0.43/1.05  Usable=6. Sos=4. Demods=0. Limbo=1, Disabled=14. Hints=0.
% 0.43/1.05  Megabytes=0.04.
% 0.43/1.05  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.43/1.05  
% 0.43/1.05  ============================== end of statistics =====================
% 0.43/1.05  
% 0.43/1.05  ============================== end of search =========================
% 0.43/1.05  
% 0.43/1.05  THEOREM PROVED
% 0.43/1.05  % SZS status Theorem
% 0.43/1.05  
% 0.43/1.05  Exiting with 1 proof.
% 0.43/1.05  
% 0.43/1.05  Process 11939 exit (max_proofs) Tue Jul 12 03:07:30 2022
% 0.43/1.05  Prover9 interrupted
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