TSTP Solution File: LCL664+1.001 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n004.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 13:48:46 EDT 2022

% Result   : Theorem 0.78s 1.10s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL664+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.34  % Computer : n004.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 : Mon Jul  4 08:26:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.78/1.10  ============================== Prover9 ===============================
% 0.78/1.10  Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.10  Process 23438 was started by sandbox on n004.cluster.edu,
% 0.78/1.10  Mon Jul  4 08:26:38 2022
% 0.78/1.10  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23285_n004.cluster.edu".
% 0.78/1.10  ============================== end of head ===========================
% 0.78/1.10  
% 0.78/1.10  ============================== INPUT =================================
% 0.78/1.10  
% 0.78/1.10  % Reading from file /tmp/Prover9_23285_n004.cluster.edu
% 0.78/1.10  
% 0.78/1.10  set(prolog_style_variables).
% 0.78/1.10  set(auto2).
% 0.78/1.10      % set(auto2) -> set(auto).
% 0.78/1.10      % set(auto) -> set(auto_inference).
% 0.78/1.10      % set(auto) -> set(auto_setup).
% 0.78/1.10      % set(auto_setup) -> set(predicate_elim).
% 0.78/1.10      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.10      % set(auto) -> set(auto_limits).
% 0.78/1.10      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.10      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.10      % set(auto) -> set(auto_denials).
% 0.78/1.10      % set(auto) -> set(auto_process).
% 0.78/1.10      % set(auto2) -> assign(new_constants, 1).
% 0.78/1.10      % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.10      % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.10      % set(auto2) -> assign(max_hours, 1).
% 0.78/1.10      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.10      % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.10      % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.10      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.10      % set(auto2) -> set(sort_initial_sos).
% 0.78/1.10      % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.10      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.10      % set(auto2) -> assign(max_megs, 400).
% 0.78/1.10      % set(auto2) -> assign(stats, some).
% 0.78/1.10      % set(auto2) -> clear(echo_input).
% 0.78/1.10      % set(auto2) -> set(quiet).
% 0.78/1.10      % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.10      % set(auto2) -> clear(print_given).
% 0.78/1.10  assign(lrs_ticks,-1).
% 0.78/1.10  assign(sos_limit,10000).
% 0.78/1.10  assign(order,kbo).
% 0.78/1.10  set(lex_order_vars).
% 0.78/1.10  clear(print_given).
% 0.78/1.10  
% 0.78/1.10  % formulas(sos).  % not echoed (2 formulas)
% 0.78/1.10  
% 0.78/1.10  ============================== end of input ==========================
% 0.78/1.10  
% 0.78/1.10  % From the command line: assign(max_seconds, 300).
% 0.78/1.10  
% 0.78/1.10  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.10  
% 0.78/1.10  % Formulas that are not ordinary clauses:
% 0.78/1.10  1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause).  [assumption].
% 0.78/1.10  2 --(exists X -(-(all Y (-r1(X,Y) | p16(Y))) | -(all Y (-r1(X,Y) | p12(Y))) | -(all Y (-r1(X,Y) | p14(Y))) | -(all Y (-r1(X,Y) | p12(Y))) | (all Y (-r1(X,Y) | p15(Y))) | (all Y (-r1(X,Y) | p13(Y))) | (all Y (-r1(X,Y) | p12(Y))) | (all Y (-r1(X,Y) | p11(Y))))) # label(main) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.78/1.10  
% 0.78/1.10  ============================== end of process non-clausal formulas ===
% 0.78/1.10  
% 0.78/1.10  ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.10  
% 0.78/1.10  ============================== PREDICATE ELIMINATION =================
% 0.78/1.10  3 -r1(c1,A) | p16(A) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  4 r1(A,A) # label(reflexivity) # label(axiom).  [clausify(1)].
% 0.78/1.10  5 r1(c1,c2) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  6 r1(c1,c3) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  7 r1(c1,c4) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  8 r1(c1,c5) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  Derived: p16(c1).  [resolve(3,a,4,a)].
% 0.78/1.10  Derived: p16(c2).  [resolve(3,a,5,a)].
% 0.78/1.10  Derived: p16(c3).  [resolve(3,a,6,a)].
% 0.78/1.10  Derived: p16(c4).  [resolve(3,a,7,a)].
% 0.78/1.10  Derived: p16(c5).  [resolve(3,a,8,a)].
% 0.78/1.10  9 -r1(c1,A) | p12(A) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  Derived: p12(c1).  [resolve(9,a,4,a)].
% 0.78/1.10  Derived: p12(c2).  [resolve(9,a,5,a)].
% 0.78/1.10  Derived: p12(c3).  [resolve(9,a,6,a)].
% 0.78/1.10  Derived: p12(c4).  [resolve(9,a,7,a)].
% 0.78/1.10  Derived: p12(c5).  [resolve(9,a,8,a)].
% 0.78/1.10  10 -r1(c1,A) | p14(A) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  Derived: p14(c1).  [resolve(10,a,4,a)].
% 0.78/1.10  Derived: p14(c2).  [resolve(10,a,5,a)].
% 0.78/1.10  Derived: p14(c3).  [resolve(10,a,6,a)].
% 0.78/1.10  Derived: p14(c4).  [resolve(10,a,7,a)].
% 0.78/1.10  Derived: p14(c5).  [resolve(10,a,8,a)].
% 0.78/1.10  11 -r1(c1,A) | p12(A) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  12 p12(c1).  [resolve(9,a,4,a)].
% 0.78/1.10  13 -p12(c4) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  14 p12(c2).  [resolve(9,a,5,a)].
% 0.78/1.10  15 p12(c3).  [resolve(9,a,6,a)].
% 0.78/1.10  16 p12(c4).  [resolve(9,a,7,a)].
% 0.78/1.10  Derived: $F.  [resolve(16,a,13,a)].
% 0.78/1.10  17 p12(c5).  [resolve(9,a,8,a)].
% 0.78/1.10  
% 0.78/1.10  ============================== end predicate elimination =============
% 0.78/1.10  
% 0.78/1.10  Auto_denials:  (no changes).
% 0.78/1.10  
% 0.78/1.10  Term ordering decisions:
% 0.78/1.10  Function symbol KB weights: 
% 0.78/1.10  
% 0.78/1.10  ============================== PROOF =================================
% 0.78/1.10  % SZS status Theorem
% 0.78/1.10  % SZS output start Refutation
% 0.78/1.10  
% 0.78/1.10  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.78/1.10  % Length of proof is 6.
% 0.78/1.10  % Level of proof is 3.
% 0.78/1.10  % Maximum clause weight is 0.000.
% 0.78/1.10  % Given clauses 0.
% 0.78/1.10  
% 0.78/1.10  2 --(exists X -(-(all Y (-r1(X,Y) | p16(Y))) | -(all Y (-r1(X,Y) | p12(Y))) | -(all Y (-r1(X,Y) | p14(Y))) | -(all Y (-r1(X,Y) | p12(Y))) | (all Y (-r1(X,Y) | p15(Y))) | (all Y (-r1(X,Y) | p13(Y))) | (all Y (-r1(X,Y) | p12(Y))) | (all Y (-r1(X,Y) | p11(Y))))) # label(main) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.78/1.10  7 r1(c1,c4) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  9 -r1(c1,A) | p12(A) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  13 -p12(c4) # label(main) # label(negated_conjecture).  [clausify(2)].
% 0.78/1.10  16 p12(c4).  [resolve(9,a,7,a)].
% 0.78/1.10  18 $F.  [resolve(16,a,13,a)].
% 0.78/1.10  
% 0.78/1.10  % SZS output end Refutation
% 0.78/1.10  ============================== end of proof ==========================
% 0.78/1.10  
% 0.78/1.10  ============================== STATISTICS ============================
% 0.78/1.10  
% 0.78/1.10  Given=0. Generated=1. Kept=0. proofs=1.
% 0.78/1.10  Usable=0. Sos=0. Demods=0. Limbo=0, Disabled=29. Hints=0.
% 0.78/1.10  Megabytes=0.04.
% 0.78/1.10  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.78/1.10  
% 0.78/1.10  ============================== end of statistics =====================
% 0.78/1.10  
% 0.78/1.10  ============================== end of search =========================
% 0.78/1.10  
% 0.78/1.10  THEOREM PROVED
% 0.78/1.10  % SZS status Theorem
% 0.78/1.10  
% 0.78/1.10  Exiting with 1 proof.
% 0.78/1.10  
% 0.78/1.10  Process 23438 exit (max_proofs) Mon Jul  4 08:26:38 2022
% 0.78/1.10  Prover9 interrupted
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