TSTP Solution File: SET045+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n005.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 : Tue Jul 19 04:26:20 EDT 2022

% Result   : Theorem 0.64s 0.96s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.09  % Command  : tptp2X_and_run_prover9 %d %s
% 0.09/0.29  % Computer : n005.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Sun Jul 10 04:01:22 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.64/0.96  ============================== Prover9 ===============================
% 0.64/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.64/0.96  Process 23650 was started by sandbox on n005.cluster.edu,
% 0.64/0.96  Sun Jul 10 04:01:22 2022
% 0.64/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_23497_n005.cluster.edu".
% 0.64/0.96  ============================== end of head ===========================
% 0.64/0.96  
% 0.64/0.96  ============================== INPUT =================================
% 0.64/0.96  
% 0.64/0.96  % Reading from file /tmp/Prover9_23497_n005.cluster.edu
% 0.64/0.96  
% 0.64/0.96  set(prolog_style_variables).
% 0.64/0.96  set(auto2).
% 0.64/0.96      % set(auto2) -> set(auto).
% 0.64/0.96      % set(auto) -> set(auto_inference).
% 0.64/0.96      % set(auto) -> set(auto_setup).
% 0.64/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.64/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.64/0.96      % set(auto) -> set(auto_limits).
% 0.64/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.64/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.64/0.96      % set(auto) -> set(auto_denials).
% 0.64/0.96      % set(auto) -> set(auto_process).
% 0.64/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.64/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.64/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.64/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.64/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.64/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.64/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.64/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.64/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.64/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.64/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.64/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.64/0.96      % set(auto2) -> assign(stats, some).
% 0.64/0.96      % set(auto2) -> clear(echo_input).
% 0.64/0.96      % set(auto2) -> set(quiet).
% 0.64/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.64/0.96      % set(auto2) -> clear(print_given).
% 0.64/0.96  assign(lrs_ticks,-1).
% 0.64/0.96  assign(sos_limit,10000).
% 0.64/0.96  assign(order,kbo).
% 0.64/0.96  set(lex_order_vars).
% 0.64/0.96  clear(print_given).
% 0.64/0.96  
% 0.64/0.96  % formulas(sos).  % not echoed (2 formulas)
% 0.64/0.96  
% 0.64/0.96  ============================== end of input ==========================
% 0.64/0.96  
% 0.64/0.96  % From the command line: assign(max_seconds, 300).
% 0.64/0.96  
% 0.64/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.64/0.96  
% 0.64/0.96  % Formulas that are not ordinary clauses:
% 0.64/0.96  1 (all Z exists Y all X (element(X,Y) <-> element(X,Z) & -element(X,X))) # label(pel41_1) # label(axiom) # label(non_clause).  [assumption].
% 0.64/0.96  2 --(exists Z all X element(X,Z)) # label(pel41) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.64/0.96  
% 0.64/0.96  ============================== end of process non-clausal formulas ===
% 0.64/0.96  
% 0.64/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.64/0.96  
% 0.64/0.96  ============================== PREDICATE ELIMINATION =================
% 0.64/0.96  
% 0.64/0.96  ============================== end predicate elimination =============
% 0.64/0.96  
% 0.64/0.96  Auto_denials:  (non-Horn, no changes).
% 0.64/0.96  
% 0.64/0.96  Term ordering decisions:
% 0.64/0.96  
% 0.64/0.96  % Assigning unary symbol f1 kb_weight 0 and highest precedence (3).
% 0.64/0.96  Function symbol KB weights:  c1=1. f1=0.
% 0.64/0.96  
% 0.64/0.96  ============================== PROOF =================================
% 0.64/0.96  % SZS status Theorem
% 0.64/0.96  % SZS output start Refutation
% 0.64/0.96  
% 0.64/0.96  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.64/0.96  % Length of proof is 8.
% 0.64/0.96  % Level of proof is 4.
% 0.64/0.96  % Maximum clause weight is 10.000.
% 0.64/0.96  % Given clauses 0.
% 0.64/0.96  
% 0.64/0.96  1 (all Z exists Y all X (element(X,Y) <-> element(X,Z) & -element(X,X))) # label(pel41_1) # label(axiom) # label(non_clause).  [assumption].
% 0.64/0.96  2 --(exists Z all X element(X,Z)) # label(pel41) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.64/0.96  3 element(A,c1) # label(pel41) # label(negated_conjecture).  [clausify(2)].
% 0.64/0.96  4 -element(A,f1(B)) | -element(A,A) # label(pel41_1) # label(axiom).  [clausify(1)].
% 0.64/0.96  6 element(A,f1(B)) | -element(A,B) | element(A,A) # label(pel41_1) # label(axiom).  [clausify(1)].
% 0.64/0.96  7 -element(f1(A),f1(A)).  [factor(4,a,b)].
% 0.64/0.96  8 -element(f1(A),A).  [factor(6,a,c),unit_del(a,7)].
% 0.64/0.96  9 $F.  [resolve(8,a,3,a)].
% 0.64/0.96  
% 0.64/0.96  % SZS output end Refutation
% 0.64/0.96  ============================== end of proof ==========================
% 0.64/0.96  
% 0.64/0.96  ============================== STATISTICS ============================
% 0.64/0.96  
% 0.64/0.96  Given=0. Generated=6. Kept=6. proofs=1.
% 0.64/0.96  Usable=0. Sos=3. Demods=0. Limbo=2, Disabled=4. Hints=0.
% 0.64/0.96  Megabytes=0.02.
% 0.64/0.96  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.64/0.96  
% 0.64/0.96  ============================== end of statistics =====================
% 0.64/0.96  
% 0.64/0.96  ============================== end of search =========================
% 0.64/0.96  
% 0.64/0.96  THEOREM PROVED
% 0.64/0.96  % SZS status Theorem
% 0.64/0.96  
% 0.64/0.96  Exiting with 1 proof.
% 0.64/0.96  
% 0.64/0.96  Process 23650 exit (max_proofs) Sun Jul 10 04:01:22 2022
% 0.64/0.96  Prover9 interrupted
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