TSTP Solution File: SYN037-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n028.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 11:15:36 EDT 2022

% Result   : Unsatisfiable 0.69s 0.95s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n028.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 19:22:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.69/0.95  ============================== Prover9 ===============================
% 0.69/0.95  Prover9 (32) version 2009-11A, November 2009.
% 0.69/0.95  Process 9947 was started by sandbox2 on n028.cluster.edu,
% 0.69/0.95  Mon Jul 11 19:22:44 2022
% 0.69/0.95  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_9794_n028.cluster.edu".
% 0.69/0.95  ============================== end of head ===========================
% 0.69/0.95  
% 0.69/0.95  ============================== INPUT =================================
% 0.69/0.95  
% 0.69/0.95  % Reading from file /tmp/Prover9_9794_n028.cluster.edu
% 0.69/0.95  
% 0.69/0.95  set(prolog_style_variables).
% 0.69/0.95  set(auto2).
% 0.69/0.95      % set(auto2) -> set(auto).
% 0.69/0.95      % set(auto) -> set(auto_inference).
% 0.69/0.95      % set(auto) -> set(auto_setup).
% 0.69/0.95      % set(auto_setup) -> set(predicate_elim).
% 0.69/0.95      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.69/0.95      % set(auto) -> set(auto_limits).
% 0.69/0.95      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.69/0.95      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.69/0.95      % set(auto) -> set(auto_denials).
% 0.69/0.95      % set(auto) -> set(auto_process).
% 0.69/0.95      % set(auto2) -> assign(new_constants, 1).
% 0.69/0.95      % set(auto2) -> assign(fold_denial_max, 3).
% 0.69/0.95      % set(auto2) -> assign(max_weight, "200.000").
% 0.69/0.95      % set(auto2) -> assign(max_hours, 1).
% 0.69/0.95      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.69/0.95      % set(auto2) -> assign(max_seconds, 0).
% 0.69/0.95      % set(auto2) -> assign(max_minutes, 5).
% 0.69/0.95      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.69/0.95      % set(auto2) -> set(sort_initial_sos).
% 0.69/0.95      % set(auto2) -> assign(sos_limit, -1).
% 0.69/0.95      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.69/0.95      % set(auto2) -> assign(max_megs, 400).
% 0.69/0.95      % set(auto2) -> assign(stats, some).
% 0.69/0.95      % set(auto2) -> clear(echo_input).
% 0.69/0.95      % set(auto2) -> set(quiet).
% 0.69/0.95      % set(auto2) -> clear(print_initial_clauses).
% 0.69/0.95      % set(auto2) -> clear(print_given).
% 0.69/0.95  assign(lrs_ticks,-1).
% 0.69/0.95  assign(sos_limit,10000).
% 0.69/0.95  assign(order,kbo).
% 0.69/0.95  set(lex_order_vars).
% 0.69/0.95  clear(print_given).
% 0.69/0.95  
% 0.69/0.95  % formulas(sos).  % not echoed (22 formulas)
% 0.69/0.95  
% 0.69/0.95  ============================== end of input ==========================
% 0.69/0.95  
% 0.69/0.95  % From the command line: assign(max_seconds, 300).
% 0.69/0.95  
% 0.69/0.95  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.69/0.95  
% 0.69/0.95  % Formulas that are not ordinary clauses:
% 0.69/0.95  
% 0.69/0.95  ============================== end of process non-clausal formulas ===
% 0.69/0.95  
% 0.69/0.95  ============================== PROCESS INITIAL CLAUSES ===============
% 0.69/0.95  
% 0.69/0.95  ============================== PREDICATE ELIMINATION =================
% 0.69/0.95  
% 0.69/0.95  ============================== end predicate elimination =============
% 0.69/0.95  
% 0.69/0.95  Auto_denials:  (non-Horn, no changes).
% 0.69/0.95  
% 0.69/0.95  Term ordering decisions:
% 0.69/0.95  Function symbol KB weights:  cw=1. cx=1. cu=1. cuu=1. cv=1. cvv=1. fy3=1. fz2=1. fz5=1. fy=1.
% 0.69/0.95  
% 0.69/0.95  ============================== end of process initial clauses ========
% 0.69/0.95  
% 0.69/0.95  ============================== CLAUSES FOR SEARCH ====================
% 0.69/0.95  
% 0.69/0.95  ============================== end of clauses for search =============
% 0.69/0.95  
% 0.69/0.95  ============================== SEARCH ================================
% 0.69/0.95  
% 0.69/0.95  % Starting search at 0.01 seconds.
% 0.69/0.95  
% 0.69/0.95  ============================== PROOF =================================
% 0.69/0.95  % SZS status Unsatisfiable
% 0.69/0.95  % SZS output start Refutation
% 0.69/0.95  
% 0.69/0.95  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.69/0.95  % Length of proof is 69.
% 0.69/0.95  % Level of proof is 27.
% 0.69/0.95  % Maximum clause weight is 7.000.
% 0.69/0.95  % Given clauses 65.
% 0.69/0.95  
% 0.69/0.95  1 m2 | p(cv) # label(clause_21) # label(negated_conjecture).  [assumption].
% 0.69/0.95  2 m1 | q(cu) # label(clause_22) # label(negated_conjecture).  [assumption].
% 0.69/0.95  3 m1 | m3 | p(A) | p(fy3(A)) # label(clause_16) # label(negated_conjecture).  [assumption].
% 0.69/0.95  4 -m1 | -m3 | -p(A) | -p(fy(A)) # label(clause_1) # label(negated_conjecture).  [assumption].
% 0.69/0.95  5 -p(cvv) | m2 # label(clause_19) # label(negated_conjecture).  [assumption].
% 0.69/0.95  6 -q(cuu) | m1 # label(clause_20) # label(negated_conjecture).  [assumption].
% 0.69/0.95  7 -m1 | -q(A) | q(B) # label(clause_17) # label(negated_conjecture).  [assumption].
% 0.69/0.95  8 -m2 | -p(A) | p(B) # label(clause_18) # label(negated_conjecture).  [assumption].
% 0.69/0.95  9 -m1 | -p(cx) | m3 | p(A) # label(clause_3) # label(negated_conjecture).  [assumption].
% 0.69/0.95  10 -m1 | -p(A) | m3 | p(cx) # label(clause_4) # label(negated_conjecture).  [assumption].
% 0.69/0.95  11 -m2 | -m3 | -q(cw) | q(A) # label(clause_5) # label(negated_conjecture).  [assumption].
% 0.69/0.95  12 -m2 | -m3 | -q(A) | q(cw) # label(clause_6) # label(negated_conjecture).  [assumption].
% 0.69/0.95  13 -m3 | -p(cx) | m1 | p(A) # label(clause_9) # label(negated_conjecture).  [assumption].
% 0.69/0.95  14 -m3 | -p(A) | m1 | p(cx) # label(clause_10) # label(negated_conjecture).  [assumption].
% 0.69/0.95  15 -q(cw) | m2 | m3 | q(A) # label(clause_14) # label(negated_conjecture).  [assumption].
% 0.69/0.95  16 -q(A) | m2 | m3 | q(cw) # label(clause_15) # label(negated_conjecture).  [assumption].
% 0.69/0.95  17 -m1 | -m3 | p(A) | p(fy(A)) # label(clause_2) # label(negated_conjecture).  [assumption].
% 0.69/0.95  18 -m2 | -q(A) | -q(fz5(A)) | m3 # label(clause_7) # label(negated_conjecture).  [assumption].
% 0.69/0.95  19 -m2 | m3 | q(A) | q(fz5(A)) # label(clause_8) # label(negated_conjecture).  [assumption].
% 0.69/0.95  20 -m3 | -q(A) | -q(fz2(A)) | m2 # label(clause_11) # label(negated_conjecture).  [assumption].
% 0.69/0.95  21 -m3 | m2 | q(A) | q(fz2(A)) # label(clause_12) # label(negated_conjecture).  [assumption].
% 0.69/0.95  22 -p(A) | -p(fy3(A)) | m1 | m3 # label(clause_13) # label(negated_conjecture).  [assumption].
% 0.69/0.95  23 -m2 | p(A) | m1 | m3 | p(B).  [resolve(8,b,3,d)].
% 0.69/0.95  24 -m2 | p(A) | m1 | m3.  [factor(23,b,e)].
% 0.69/0.95  25 -m1 | m3 | p(cx) | m2.  [resolve(10,b,1,b)].
% 0.69/0.95  26 -m2 | -m3 | q(cw) | m1.  [resolve(12,c,2,b)].
% 0.69/0.95  27 -m3 | m1 | p(cx) | m2.  [resolve(14,b,1,b)].
% 0.69/0.95  28 m2 | m3 | q(cw) | m1.  [resolve(16,a,2,b)].
% 0.69/0.95  29 m2 | m3 | m1 | q(A).  [resolve(28,c,15,a),merge(d),merge(e)].
% 0.69/0.95  30 m2 | m3 | m1.  [resolve(29,d,6,a),merge(d)].
% 0.69/0.95  31 m2 | m3 | p(cx).  [resolve(30,c,25,a),merge(c),merge(e)].
% 0.69/0.95  32 m2 | m3 | -m1 | p(A).  [resolve(31,c,9,b),merge(d)].
% 0.69/0.95  33 m2 | m3 | p(A).  [resolve(32,c,30,c),merge(d),merge(e)].
% 0.69/0.95  34 m2 | m3.  [resolve(33,c,5,a),merge(c)].
% 0.69/0.95  35 m3 | p(A) | m1.  [resolve(34,a,24,a),merge(d)].
% 0.69/0.95  36 m3 | q(A) | q(fz5(A)).  [resolve(34,a,19,a),merge(b)].
% 0.69/0.95  37 m3 | m1 | -p(A).  [resolve(35,b,22,b),merge(d),merge(e)].
% 0.69/0.95  38 m3 | m1.  [resolve(37,c,35,b),merge(c),merge(d)].
% 0.69/0.95  39 m3 | q(A) | -m1 | q(B).  [resolve(36,c,7,b)].
% 0.69/0.95  40 m3 | q(A) | -m1.  [factor(39,b,d)].
% 0.69/0.95  41 m3 | q(A).  [resolve(40,c,38,b),merge(c)].
% 0.69/0.95  42 m3 | -m2 | -q(A).  [resolve(41,b,18,c),merge(d)].
% 0.69/0.95  43 m3 | -m2.  [resolve(42,c,41,b),merge(c)].
% 0.69/0.95  44 m3.  [resolve(43,b,34,a),merge(b)].
% 0.69/0.95  45 m1 | p(cx) | m2.  [back_unit_del(27),unit_del(a,44)].
% 0.69/0.95  46 -m2 | q(cw) | m1.  [back_unit_del(26),unit_del(b,44)].
% 0.69/0.95  47 m2 | q(A) | q(fz2(A)).  [back_unit_del(21),unit_del(a,44)].
% 0.69/0.95  48 -q(A) | -q(fz2(A)) | m2.  [back_unit_del(20),unit_del(a,44)].
% 0.69/0.95  49 -m1 | p(A) | p(fy(A)).  [back_unit_del(17),unit_del(b,44)].
% 0.69/0.95  51 -p(cx) | m1 | p(A).  [back_unit_del(13),unit_del(a,44)].
% 0.69/0.95  53 -m2 | -q(cw) | q(A).  [back_unit_del(11),unit_del(b,44)].
% 0.69/0.95  54 -m1 | -p(A) | -p(fy(A)).  [back_unit_del(4),unit_del(b,44)].
% 0.69/0.95  55 m1 | p(A) | m2.  [resolve(51,a,45,b),merge(c)].
% 0.69/0.95  56 m1 | m2.  [resolve(55,b,5,a),merge(c)].
% 0.69/0.95  57 m2 | q(A) | -m1 | q(B).  [resolve(47,c,7,b)].
% 0.69/0.95  58 m2 | q(A) | -m1.  [factor(57,b,d)].
% 0.69/0.95  59 m2 | q(A).  [resolve(58,c,56,a),merge(c)].
% 0.69/0.95  60 -q(A) | m2.  [resolve(48,b,59,b),merge(c)].
% 0.69/0.95  61 m2.  [resolve(60,a,59,b),merge(b)].
% 0.69/0.95  62 -q(cw) | q(A).  [back_unit_del(53),unit_del(a,61)].
% 0.69/0.95  64 q(cw) | m1.  [back_unit_del(46),unit_del(a,61)].
% 0.69/0.95  65 -p(A) | p(B).  [back_unit_del(8),unit_del(a,61)].
% 0.69/0.95  66 q(A) | m1.  [resolve(62,a,64,a)].
% 0.69/0.95  67 m1.  [resolve(66,a,6,a),merge(b)].
% 0.69/0.95  68 -p(A) | -p(fy(A)).  [back_unit_del(54),unit_del(a,67)].
% 0.69/0.95  69 p(A) | p(fy(A)).  [back_unit_del(49),unit_del(a,67)].
% 0.69/0.95  71 p(A) | p(B).  [resolve(69,b,65,a)].
% 0.69/0.95  72 p(A).  [factor(71,a,b)].
% 0.69/0.95  73 $F.  [back_unit_del(68),unit_del(a,72),unit_del(b,72)].
% 0.69/0.95  
% 0.69/0.95  % SZS output end Refutation
% 0.69/0.95  ============================== end of proof ==========================
% 0.69/0.95  
% 0.69/0.95  ============================== STATISTICS ============================
% 0.69/0.95  
% 0.69/0.95  Given=65. Generated=135. Kept=72. proofs=1.
% 0.69/0.95  Usable=4. Sos=0. Demods=0. Limbo=1, Disabled=89. Hints=0.
% 0.69/0.95  Megabytes=0.06.
% 0.69/0.95  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.69/0.95  
% 0.69/0.95  ============================== end of statistics =====================
% 0.69/0.95  
% 0.69/0.95  ============================== end of search =========================
% 0.69/0.95  
% 0.69/0.95  THEOREM PROVED
% 0.69/0.95  % SZS status Unsatisfiable
% 0.69/0.95  
% 0.69/0.95  Exiting with 1 proof.
% 0.69/0.95  
% 0.69/0.95  Process 9947 exit (max_proofs) Mon Jul 11 19:22:44 2022
% 0.69/0.95  Prover9 interrupted
%------------------------------------------------------------------------------