TSTP Solution File: SYN346-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN346-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n015.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 11:18:24 EDT 2022

% Result   : Unsatisfiable 0.67s 0.97s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN346-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n015.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 : Mon Jul 11 18:55:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.67/0.97  ============================== Prover9 ===============================
% 0.67/0.97  Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.97  Process 5219 was started by sandbox on n015.cluster.edu,
% 0.67/0.97  Mon Jul 11 18:55:40 2022
% 0.67/0.97  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5066_n015.cluster.edu".
% 0.67/0.97  ============================== end of head ===========================
% 0.67/0.97  
% 0.67/0.97  ============================== INPUT =================================
% 0.67/0.97  
% 0.67/0.97  % Reading from file /tmp/Prover9_5066_n015.cluster.edu
% 0.67/0.97  
% 0.67/0.97  set(prolog_style_variables).
% 0.67/0.97  set(auto2).
% 0.67/0.97      % set(auto2) -> set(auto).
% 0.67/0.97      % set(auto) -> set(auto_inference).
% 0.67/0.97      % set(auto) -> set(auto_setup).
% 0.67/0.97      % set(auto_setup) -> set(predicate_elim).
% 0.67/0.97      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.97      % set(auto) -> set(auto_limits).
% 0.67/0.97      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.97      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.97      % set(auto) -> set(auto_denials).
% 0.67/0.97      % set(auto) -> set(auto_process).
% 0.67/0.97      % set(auto2) -> assign(new_constants, 1).
% 0.67/0.97      % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.97      % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.97      % set(auto2) -> assign(max_hours, 1).
% 0.67/0.97      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.97      % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.97      % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.97      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.97      % set(auto2) -> set(sort_initial_sos).
% 0.67/0.97      % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.97      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.97      % set(auto2) -> assign(max_megs, 400).
% 0.67/0.97      % set(auto2) -> assign(stats, some).
% 0.67/0.97      % set(auto2) -> clear(echo_input).
% 0.67/0.97      % set(auto2) -> set(quiet).
% 0.67/0.97      % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.97      % set(auto2) -> clear(print_given).
% 0.67/0.97  assign(lrs_ticks,-1).
% 0.67/0.97  assign(sos_limit,10000).
% 0.67/0.97  assign(order,kbo).
% 0.67/0.97  set(lex_order_vars).
% 0.67/0.97  clear(print_given).
% 0.67/0.97  
% 0.67/0.97  % formulas(sos).  % not echoed (4 formulas)
% 0.67/0.97  
% 0.67/0.97  ============================== end of input ==========================
% 0.67/0.97  
% 0.67/0.97  % From the command line: assign(max_seconds, 300).
% 0.67/0.97  
% 0.67/0.97  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.97  
% 0.67/0.97  % Formulas that are not ordinary clauses:
% 0.67/0.97  
% 0.67/0.97  ============================== end of process non-clausal formulas ===
% 0.67/0.97  
% 0.67/0.97  ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.97  
% 0.67/0.97  ============================== PREDICATE ELIMINATION =================
% 0.67/0.97  
% 0.67/0.97  ============================== end predicate elimination =============
% 0.67/0.97  
% 0.67/0.97  Auto_denials:
% 0.67/0.97    % copying label clause3 to answer in negative clause
% 0.67/0.97    % copying label clause4 to answer in negative clause
% 0.67/0.97    % assign(max_proofs, 2).  % (Horn set with more than one neg. clause)
% 0.67/0.97  
% 0.67/0.97  Term ordering decisions:
% 0.67/0.97  Function symbol KB weights:  b=1. z1=1. z2=1.
% 0.67/0.97  
% 0.67/0.97  ============================== end of process initial clauses ========
% 0.67/0.97  
% 0.67/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.67/0.97  
% 0.67/0.97  ============================== end of clauses for search =============
% 0.67/0.97  
% 0.67/0.97  ============================== SEARCH ================================
% 0.67/0.97  
% 0.67/0.97  % Starting search at 0.01 seconds.
% 0.67/0.97  
% 0.67/0.97  ============================== PROOF =================================
% 0.67/0.97  % SZS status Unsatisfiable
% 0.67/0.97  % SZS output start Refutation
% 0.67/0.97  
% 0.67/0.97  % Proof 1 at 0.01 (+ 0.00) seconds: clause3.
% 0.67/0.97  % Length of proof is 4.
% 0.67/0.97  % Level of proof is 2.
% 0.67/0.97  % Maximum clause weight is 10.000.
% 0.67/0.97  % Given clauses 3.
% 0.67/0.97  
% 0.67/0.97  1 f(b,z1(A,B)) # label(clause1) # label(negated_conjecture).  [assumption].
% 0.67/0.97  3 -f(A,z1(A,B)) | -f(B,z1(A,B)) # label(clause3) # label(negated_conjecture) # answer(clause3).  [assumption].
% 0.67/0.97  5 -f(A,z1(b,A)) # answer(clause3).  [resolve(3,a,1,a)].
% 0.67/0.97  6 $F # answer(clause3).  [resolve(5,a,1,a)].
% 0.67/0.97  
% 0.67/0.97  % SZS output end Refutation
% 0.67/0.97  ============================== end of proof ==========================
% 0.67/0.97  % Redundant proof: 8 $F # answer(clause3).  [resolve(7,a,1,a)].
% 0.67/0.97  
% 0.67/0.97  % Disable descendants (x means already disabled):
% 0.67/0.97   3 5 7
% 0.67/0.97  
% 0.67/0.97  ============================== PROOF =================================
% 0.67/0.97  % SZS status Unsatisfiable
% 0.67/0.97  % SZS output start Refutation
% 0.67/0.97  
% 0.67/0.97  % Proof 2 at 0.01 (+ 0.00) seconds: clause4.
% 0.67/0.97  % Length of proof is 4.
% 0.67/0.97  % Level of proof is 2.
% 0.67/0.97  % Maximum clause weight is 10.000.
% 0.67/0.97  % Given clauses 4.
% 0.67/0.97  
% 0.67/0.97  2 f(A,z2(A,B)) # label(clause2) # label(negated_conjecture).  [assumption].
% 0.67/0.97  4 -f(b,z2(A,B)) | -f(B,z2(A,B)) # label(clause4) # label(negated_conjecture) # answer(clause4).  [assumption].
% 0.67/0.97  9 -f(A,z2(b,A)) # answer(clause4).  [resolve(4,a,2,a)].
% 0.67/0.97  10 $F # answer(clause4).  [resolve(9,a,2,a)].
% 0.67/0.97  
% 0.67/0.97  % SZS output end Refutation
% 0.67/0.97  ============================== end of proof ==========================
% 0.67/0.97  
% 0.67/0.97  ============================== STATISTICS ============================
% 0.67/0.97  
% 0.67/0.97  Given=4. Generated=9. Kept=7. proofs=2.
% 0.67/0.97  Usable=3. Sos=0. Demods=0. Limbo=0, Disabled=7. Hints=0.
% 0.67/0.97  Megabytes=0.02.
% 0.67/0.97  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.67/0.97  
% 0.67/0.97  ============================== end of statistics =====================
% 0.67/0.97  
% 0.67/0.97  ============================== end of search =========================
% 0.67/0.97  
% 0.67/0.97  THEOREM PROVED
% 0.67/0.97  % SZS status Unsatisfiable
% 0.67/0.97  
% 0.67/0.97  Exiting with 2 proofs.
% 0.67/0.97  
% 0.67/0.97  Process 5219 exit (max_proofs) Mon Jul 11 18:55:40 2022
% 0.67/0.97  Prover9 interrupted
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