TSTP Solution File: MSC006-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MSC006-1 : 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 : Sun Jul 17 22:56:31 EDT 2022

% Result   : Unsatisfiable 0.38s 0.96s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : MSC006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % 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 : Fri Jul  1 16:26:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.38/0.96  ============================== Prover9 ===============================
% 0.38/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.38/0.96  Process 12299 was started by sandbox on n028.cluster.edu,
% 0.38/0.96  Fri Jul  1 16:26:01 2022
% 0.38/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_12146_n028.cluster.edu".
% 0.38/0.96  ============================== end of head ===========================
% 0.38/0.96  
% 0.38/0.96  ============================== INPUT =================================
% 0.38/0.96  
% 0.38/0.96  % Reading from file /tmp/Prover9_12146_n028.cluster.edu
% 0.38/0.96  
% 0.38/0.96  set(prolog_style_variables).
% 0.38/0.96  set(auto2).
% 0.38/0.96      % set(auto2) -> set(auto).
% 0.38/0.96      % set(auto) -> set(auto_inference).
% 0.38/0.96      % set(auto) -> set(auto_setup).
% 0.38/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.38/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.38/0.96      % set(auto) -> set(auto_limits).
% 0.38/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.38/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.38/0.96      % set(auto) -> set(auto_denials).
% 0.38/0.96      % set(auto) -> set(auto_process).
% 0.38/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.38/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.38/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.38/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.38/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.38/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.38/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.38/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.38/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.38/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.38/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.38/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.38/0.96      % set(auto2) -> assign(stats, some).
% 0.38/0.96      % set(auto2) -> clear(echo_input).
% 0.38/0.96      % set(auto2) -> set(quiet).
% 0.38/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.38/0.96      % set(auto2) -> clear(print_given).
% 0.38/0.96  assign(lrs_ticks,-1).
% 0.38/0.96  assign(sos_limit,10000).
% 0.38/0.96  assign(order,kbo).
% 0.38/0.96  set(lex_order_vars).
% 0.38/0.96  clear(print_given).
% 0.38/0.96  
% 0.38/0.96  % formulas(sos).  % not echoed (6 formulas)
% 0.38/0.96  
% 0.38/0.96  ============================== end of input ==========================
% 0.38/0.96  
% 0.38/0.96  % From the command line: assign(max_seconds, 300).
% 0.38/0.96  
% 0.38/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.38/0.96  
% 0.38/0.96  % Formulas that are not ordinary clauses:
% 0.38/0.96  
% 0.38/0.96  ============================== end of process non-clausal formulas ===
% 0.38/0.96  
% 0.38/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.38/0.96  
% 0.38/0.96  ============================== PREDICATE ELIMINATION =================
% 0.38/0.96  
% 0.38/0.96  ============================== end predicate elimination =============
% 0.38/0.96  
% 0.38/0.96  Auto_denials:  (non-Horn, no changes).
% 0.38/0.96  
% 0.38/0.96  Term ordering decisions:
% 0.38/0.96  Function symbol KB weights:  a=1. b=1. c=1. d=1.
% 0.38/0.96  
% 0.38/0.96  ============================== end of process initial clauses ========
% 0.38/0.96  
% 0.38/0.96  ============================== CLAUSES FOR SEARCH ====================
% 0.38/0.96  
% 0.38/0.96  ============================== end of clauses for search =============
% 0.38/0.96  
% 0.38/0.96  ============================== SEARCH ================================
% 0.38/0.96  
% 0.38/0.96  % Starting search at 0.01 seconds.
% 0.38/0.96  
% 0.38/0.96  ============================== PROOF =================================
% 0.38/0.96  % SZS status Unsatisfiable
% 0.38/0.96  % SZS output start Refutation
% 0.38/0.96  
% 0.38/0.96  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.38/0.96  % Length of proof is 18.
% 0.38/0.96  % Level of proof is 7.
% 0.38/0.96  % Maximum clause weight is 9.000.
% 0.38/0.96  % Given clauses 21.
% 0.38/0.96  
% 0.38/0.96  1 p(A,B) | q(A,B) # label(all_related) # label(hypothesis).  [assumption].
% 0.38/0.96  2 -p(a,b) # label(p_is_not_total) # label(hypothesis).  [assumption].
% 0.38/0.96  3 -q(c,d) # label(prove_q_is_total) # label(negated_conjecture).  [assumption].
% 0.38/0.96  4 -q(A,B) | q(B,A) # label(q_symmetry) # label(hypothesis).  [assumption].
% 0.38/0.96  5 -p(A,B) | -p(B,C) | p(A,C) # label(p_transitivity) # label(hypothesis).  [assumption].
% 0.38/0.96  6 -q(A,B) | -q(B,C) | q(A,C) # label(q_transitivity) # label(hypothesis).  [assumption].
% 0.38/0.96  7 q(a,b).  [resolve(2,a,1,a)].
% 0.38/0.96  8 -q(d,c).  [ur(4,b,3,a)].
% 0.38/0.96  9 -p(A,B) | p(C,B) | q(C,A).  [resolve(5,a,1,a)].
% 0.38/0.96  13 q(b,a).  [resolve(7,a,4,a)].
% 0.38/0.96  15 -q(a,A) | q(b,A).  [resolve(13,a,6,a)].
% 0.38/0.96  18 p(A,B) | q(A,C) | q(C,B).  [resolve(9,a,1,a)].
% 0.38/0.96  22 q(a,A) | q(A,b).  [resolve(18,a,2,a)].
% 0.38/0.96  23 q(A,b) | q(b,A).  [resolve(22,a,15,a)].
% 0.38/0.96  33 q(b,A).  [resolve(23,a,4,a),merge(b)].
% 0.38/0.96  35 q(A,b).  [resolve(23,b,4,a),merge(b)].
% 0.38/0.96  39 q(A,B).  [resolve(33,a,6,b),unit_del(a,35)].
% 0.38/0.96  40 $F.  [resolve(39,a,8,a)].
% 0.38/0.96  
% 0.38/0.96  % SZS output end Refutation
% 0.38/0.96  ============================== end of proof ==========================
% 0.38/0.96  
% 0.38/0.96  ============================== STATISTICS ============================
% 0.38/0.96  
% 0.38/0.96  Given=21. Generated=83. Kept=39. proofs=1.
% 0.38/0.96  Usable=11. Sos=6. Demods=0. Limbo=0, Disabled=27. Hints=0.
% 0.38/0.96  Megabytes=0.04.
% 0.38/0.96  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.38/0.96  
% 0.38/0.96  ============================== end of statistics =====================
% 0.38/0.96  
% 0.38/0.96  ============================== end of search =========================
% 0.38/0.96  
% 0.38/0.96  THEOREM PROVED
% 0.38/0.96  % SZS status Unsatisfiable
% 0.38/0.96  
% 0.38/0.96  Exiting with 1 proof.
% 0.38/0.96  
% 0.38/0.96  Process 12299 exit (max_proofs) Fri Jul  1 16:26:01 2022
% 0.38/0.96  Prover9 interrupted
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