TSTP Solution File: SYO634-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n017.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 19:17:42 EDT 2022

% Result   : Unsatisfiable 0.77s 1.04s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 06:15:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.77/1.04  ============================== Prover9 ===============================
% 0.77/1.04  Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.04  Process 5095 was started by sandbox2 on n017.cluster.edu,
% 0.77/1.04  Sat Jul  9 06:15:47 2022
% 0.77/1.04  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_4942_n017.cluster.edu".
% 0.77/1.04  ============================== end of head ===========================
% 0.77/1.04  
% 0.77/1.04  ============================== INPUT =================================
% 0.77/1.04  
% 0.77/1.04  % Reading from file /tmp/Prover9_4942_n017.cluster.edu
% 0.77/1.04  
% 0.77/1.04  set(prolog_style_variables).
% 0.77/1.04  set(auto2).
% 0.77/1.04      % set(auto2) -> set(auto).
% 0.77/1.04      % set(auto) -> set(auto_inference).
% 0.77/1.04      % set(auto) -> set(auto_setup).
% 0.77/1.04      % set(auto_setup) -> set(predicate_elim).
% 0.77/1.04      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.04      % set(auto) -> set(auto_limits).
% 0.77/1.04      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.04      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.04      % set(auto) -> set(auto_denials).
% 0.77/1.04      % set(auto) -> set(auto_process).
% 0.77/1.04      % set(auto2) -> assign(new_constants, 1).
% 0.77/1.04      % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.04      % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.04      % set(auto2) -> assign(max_hours, 1).
% 0.77/1.04      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.04      % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.04      % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.04      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.04      % set(auto2) -> set(sort_initial_sos).
% 0.77/1.04      % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.04      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.04      % set(auto2) -> assign(max_megs, 400).
% 0.77/1.04      % set(auto2) -> assign(stats, some).
% 0.77/1.04      % set(auto2) -> clear(echo_input).
% 0.77/1.04      % set(auto2) -> set(quiet).
% 0.77/1.04      % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.04      % set(auto2) -> clear(print_given).
% 0.77/1.04  assign(lrs_ticks,-1).
% 0.77/1.04  assign(sos_limit,10000).
% 0.77/1.04  assign(order,kbo).
% 0.77/1.04  set(lex_order_vars).
% 0.77/1.04  clear(print_given).
% 0.77/1.04  
% 0.77/1.04  % formulas(sos).  % not echoed (23 formulas)
% 0.77/1.04  
% 0.77/1.04  ============================== end of input ==========================
% 0.77/1.04  
% 0.77/1.04  % From the command line: assign(max_seconds, 300).
% 0.77/1.04  
% 0.77/1.04  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.04  
% 0.77/1.04  % Formulas that are not ordinary clauses:
% 0.77/1.04  
% 0.77/1.04  ============================== end of process non-clausal formulas ===
% 0.77/1.04  
% 0.77/1.04  ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.04  
% 0.77/1.04  ============================== PREDICATE ELIMINATION =================
% 0.77/1.04  
% 0.77/1.04  ============================== end predicate elimination =============
% 0.77/1.04  
% 0.77/1.04  Auto_denials:
% 0.77/1.04    % copying label clause_3_17 to answer in negative clause
% 0.77/1.04  
% 0.77/1.04  Term ordering decisions:
% 0.77/1.04  Function symbol KB weights:  0=1. AP=1. s=1. f=1.
% 0.77/1.04  
% 0.77/1.04  ============================== end of process initial clauses ========
% 0.77/1.04  
% 0.77/1.04  ============================== CLAUSES FOR SEARCH ====================
% 0.77/1.04  
% 0.77/1.04  ============================== end of clauses for search =============
% 0.77/1.04  
% 0.77/1.04  ============================== SEARCH ================================
% 0.77/1.04  
% 0.77/1.04  % Starting search at 0.02 seconds.
% 0.77/1.04  
% 0.77/1.04  ============================== PROOF =================================
% 0.77/1.04  % SZS status Unsatisfiable
% 0.77/1.04  % SZS output start Refutation
% 0.77/1.04  
% 0.77/1.04  % Proof 1 at 0.02 (+ 0.00) seconds: clause_3_17.
% 0.77/1.04  % Length of proof is 31.
% 0.77/1.04  % Level of proof is 10.
% 0.77/1.04  % Maximum clause weight is 72.000.
% 0.77/1.04  % Given clauses 21.
% 0.77/1.04  
% 0.77/1.04  1 E(f(A),s(s(s(s(s(s(s(s(s(0)))))))))) # label(clause_17_09) # label(axiom).  [assumption].
% 0.77/1.04  2 E(f(A),s(s(s(s(s(s(s(s(s(s(0))))))))))) # label(clause_11_03) # label(axiom).  [assumption].
% 0.77/1.04  3 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(0)) | -E(f(D),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(E),s(s(s(s(0))))) | -E(f(F),s(s(0))) | -E(f(V6),s(s(s(s(s(s(s(0)))))))) | -E(f(V7),s(s(s(0)))) | -E(f(V8),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(V9),s(s(s(s(s(s(0))))))) | -E(f(V10),0) # label(clause_3_17) # label(axiom) # answer(clause_3_17).  [assumption].
% 0.77/1.04  4 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(0)) | -E(f(D),s(s(s(s(0))))) | -E(f(E),s(s(0))) | -E(f(F),s(s(s(s(s(s(s(0)))))))) | -E(f(V6),s(s(s(0)))) | -E(f(V7),s(s(s(s(s(s(0))))))) | -E(f(V8),0) # answer(clause_3_17).  [copy(3),unit_del(d,2),unit_del(i,1)].
% 0.77/1.04  5 -E(f(A),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(B),s(s(s(s(s(s(s(s(s(s(0))))))))))) | E(f(B),s(s(s(s(s(s(s(s(0))))))))) # label(clause_21_01) # label(axiom).  [assumption].
% 0.77/1.04  6 E(f(A),s(s(s(s(s(s(s(s(0))))))))).  [copy(5),unit_del(a,1),unit_del(b,2)].
% 0.77/1.04  7 -E(f(A),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(B),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(C),s(s(s(s(s(s(s(s(0))))))))) | E(f(B),s(s(s(s(s(s(s(0)))))))) # label(clause_12_14) # label(axiom).  [assumption].
% 0.77/1.04  8 E(f(A),s(s(s(s(s(s(s(0)))))))).  [copy(7),unit_del(a,1),unit_del(b,2),unit_del(c,6)].
% 0.77/1.04  9 -E(f(A),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(B),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(C),s(s(s(s(s(s(s(s(0))))))))) | -E(f(D),s(s(s(s(s(s(s(0)))))))) | E(f(B),s(s(s(s(s(s(0))))))) # label(clause_1_06) # label(axiom).  [assumption].
% 0.77/1.04  10 E(f(A),s(s(s(s(s(s(0))))))).  [copy(9),unit_del(a,1),unit_del(b,2),unit_del(c,6),unit_del(d,8)].
% 0.77/1.04  11 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(C),s(s(s(s(s(s(s(0)))))))) | -E(f(D),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(E),s(s(s(s(s(s(0))))))) | E(f(B),s(s(s(s(s(0)))))) # label(clause_15_20) # label(axiom).  [assumption].
% 0.77/1.04  12 E(f(A),s(s(s(s(s(0)))))).  [copy(11),unit_del(a,6),unit_del(b,2),unit_del(c,8),unit_del(d,1),unit_del(e,10)].
% 0.77/1.04  13 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(D),s(s(s(s(s(s(s(0)))))))) | -E(f(E),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(F),s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),V6)),s(s(s(s(0))))) # label(clause_9_12) # label(axiom).  [assumption].
% 0.77/1.04  14 E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),A)),s(s(s(s(0))))).  [copy(13),unit_del(a,6),unit_del(b,12),unit_del(c,2),unit_del(d,8),unit_del(e,1),unit_del(f,10)].
% 0.77/1.04  15 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(D),s(s(s(s(0))))) | -E(f(E),s(s(s(s(s(s(s(0)))))))) | -E(f(F),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(V6),s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),V7)),s(s(s(0)))) # label(clause_18_15) # label(axiom).  [assumption].
% 0.77/1.04  16 -E(f(A),s(s(s(s(0))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),B)),s(s(s(0)))).  [copy(15),unit_del(a,6),unit_del(b,12),unit_del(c,2),unit_del(e,8),unit_del(f,1),unit_del(g,10)].
% 0.77/1.04  17 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(D),s(s(s(s(0))))) | -E(f(E),s(s(s(s(s(s(s(0)))))))) | -E(f(F),s(s(s(0)))) | -E(f(V6),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(V7),s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),V8)),s(s(0))) # label(clause_0_19) # label(axiom).  [assumption].
% 0.77/1.04  18 -E(f(A),s(s(s(s(0))))) | -E(f(B),s(s(s(0)))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),C)),s(s(0))).  [copy(17),unit_del(a,6),unit_del(b,12),unit_del(c,2),unit_del(e,8),unit_del(g,1),unit_del(h,10)].
% 0.77/1.04  19 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(D),s(s(s(s(0))))) | -E(f(E),s(s(0))) | -E(f(F),s(s(s(s(s(s(s(0)))))))) | -E(f(V6),s(s(s(0)))) | -E(f(V7),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(V8),s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),V9)),s(0)) # label(clause_8_11) # label(axiom).  [assumption].
% 0.77/1.04  20 -E(f(A),s(s(s(s(0))))) | -E(f(B),s(s(0))) | -E(f(C),s(s(s(0)))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),D)),s(0)).  [copy(19),unit_del(a,6),unit_del(b,12),unit_del(c,2),unit_del(f,8),unit_del(h,1),unit_del(i,10)].
% 0.77/1.04  21 -E(f(A),s(s(s(s(s(s(s(s(0))))))))) | -E(f(B),s(s(s(s(s(0)))))) | -E(f(C),s(0)) | -E(f(D),s(s(s(s(s(s(s(s(s(s(0))))))))))) | -E(f(E),s(s(s(s(0))))) | -E(f(F),s(s(0))) | -E(f(V6),s(s(s(s(s(s(s(0)))))))) | -E(f(V7),s(s(s(0)))) | -E(f(V8),s(s(s(s(s(s(s(s(s(0)))))))))) | -E(f(V9),s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),V10)),0) # label(clause_10_22) # label(axiom).  [assumption].
% 0.77/1.04  22 -E(f(A),s(0)) | -E(f(B),s(s(s(s(0))))) | -E(f(C),s(s(0))) | -E(f(D),s(s(s(0)))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),E)),0).  [copy(21),unit_del(a,6),unit_del(b,12),unit_del(d,2),unit_del(g,8),unit_del(i,1),unit_del(j,10)].
% 0.77/1.04  23 -E(f(A),s(0)) | -E(f(B),s(s(s(s(0))))) | -E(f(C),s(s(0))) | -E(f(D),s(s(s(0)))) | -E(f(E),0) # answer(clause_3_17).  [back_unit_del(4),unit_del(a,6),unit_del(b,12),unit_del(f,8),unit_del(h,10)].
% 0.77/1.04  24 E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),A)),s(s(s(0)))).  [ur(16,a,14,a)].
% 0.77/1.04  26 -E(f(A),s(0)) | -E(f(B),s(s(0))) | -E(f(C),s(s(s(0)))) | -E(f(D),0) # answer(clause_3_17).  [resolve(23,b,14,a)].
% 0.77/1.04  29 E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),A)),s(s(0))).  [ur(18,a,14,a,b,24,a)].
% 0.77/1.04  31 -E(f(A),s(0)) | -E(f(B),s(s(0))) | -E(f(C),0) # answer(clause_3_17).  [resolve(26,c,24,a)].
% 0.77/1.04  34 -E(f(A),s(0)) | -E(f(B),s(s(0))) | -E(f(C),s(0)) | -E(f(D),s(s(s(s(0))))) | -E(f(E),s(s(0))) | -E(f(F),s(s(s(0)))) # answer(clause_3_17).  [resolve(31,c,22,e)].
% 0.77/1.04  39 E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))),A)),s(0)).  [ur(20,a,14,a,b,29,a,c,24,a)].
% 0.77/1.04  45 -E(f(A),s(0)) # answer(clause_3_17).  [ur(34,b,29,a,c,39,a,d,14,a,e,29,a,f,24,a)].
% 0.77/1.04  46 $F # answer(clause_3_17).  [resolve(45,a,39,a)].
% 0.77/1.04  
% 0.77/1.04  % SZS output end Refutation
% 0.77/1.04  ============================== end of proof ==========================
% 0.77/1.04  
% 0.77/1.04  ============================== STATISTICS ============================
% 0.77/1.04  
% 0.77/1.04  Given=21. Generated=39. Kept=35. proofs=1.
% 0.77/1.04  Usable=12. Sos=2. Demods=0. Limbo=4, Disabled=39. Hints=0.
% 0.77/1.04  Megabytes=0.12.
% 0.77/1.04  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.77/1.04  
% 0.77/1.04  ============================== end of statistics =====================
% 0.77/1.04  
% 0.77/1.04  ============================== end of search =========================
% 0.77/1.04  
% 0.77/1.04  THEOREM PROVED
% 0.77/1.04  % SZS status Unsatisfiable
% 0.77/1.04  
% 0.77/1.04  Exiting with 1 proof.
% 0.77/1.04  
% 0.77/1.04  Process 5095 exit (max_proofs) Sat Jul  9 06:15:47 2022
% 0.77/1.04  Prover9 interrupted
%------------------------------------------------------------------------------