TSTP Solution File: LAT279-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LAT279-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n021.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 06:26:48 EDT 2022

% Result   : Unsatisfiable 0.78s 1.03s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LAT279-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 28 19:30:11 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.78/1.03  ============================== Prover9 ===============================
% 0.78/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.78/1.03  Process 2419 was started by sandbox2 on n021.cluster.edu,
% 0.78/1.03  Tue Jun 28 19:30:12 2022
% 0.78/1.03  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2265_n021.cluster.edu".
% 0.78/1.03  ============================== end of head ===========================
% 0.78/1.03  
% 0.78/1.03  ============================== INPUT =================================
% 0.78/1.03  
% 0.78/1.03  % Reading from file /tmp/Prover9_2265_n021.cluster.edu
% 0.78/1.03  
% 0.78/1.03  set(prolog_style_variables).
% 0.78/1.03  set(auto2).
% 0.78/1.03      % set(auto2) -> set(auto).
% 0.78/1.03      % set(auto) -> set(auto_inference).
% 0.78/1.03      % set(auto) -> set(auto_setup).
% 0.78/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.78/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.78/1.03      % set(auto) -> set(auto_limits).
% 0.78/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.78/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.78/1.03      % set(auto) -> set(auto_denials).
% 0.78/1.03      % set(auto) -> set(auto_process).
% 0.78/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.78/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.78/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.78/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.78/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.78/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.78/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.78/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.78/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.78/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.78/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.78/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.78/1.03      % set(auto2) -> assign(stats, some).
% 0.78/1.03      % set(auto2) -> clear(echo_input).
% 0.78/1.03      % set(auto2) -> set(quiet).
% 0.78/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.78/1.03      % set(auto2) -> clear(print_given).
% 0.78/1.03  assign(lrs_ticks,-1).
% 0.78/1.03  assign(sos_limit,10000).
% 0.78/1.03  assign(order,kbo).
% 0.78/1.03  set(lex_order_vars).
% 0.78/1.03  clear(print_given).
% 0.78/1.03  
% 0.78/1.03  % formulas(sos).  % not echoed (4 formulas)
% 0.78/1.03  
% 0.78/1.03  ============================== end of input ==========================
% 0.78/1.03  
% 0.78/1.03  % From the command line: assign(max_seconds, 300).
% 0.78/1.03  
% 0.78/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.78/1.03  
% 0.78/1.03  % Formulas that are not ordinary clauses:
% 0.78/1.03  
% 0.78/1.03  ============================== end of process non-clausal formulas ===
% 0.78/1.03  
% 0.78/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.78/1.03  
% 0.78/1.03  ============================== PREDICATE ELIMINATION =================
% 0.78/1.03  
% 0.78/1.03  ============================== end predicate elimination =============
% 0.78/1.03  
% 0.78/1.03  Auto_denials:
% 0.78/1.03    % copying label cls_conjecture_0 to answer in negative clause
% 0.78/1.03  
% 0.78/1.03  Term ordering decisions:
% 0.78/1.03  Function symbol KB weights:  tc_Product__Type_Ounit=1. c_Tarski_OPartialOrder=1. t_a=1. v_cl=1. v_r=1. tc_Tarski_Opotype_Opotype__ext__type=1. c_Tarski_Opotype_Oorder=1.
% 0.78/1.03  
% 0.78/1.03  ============================== end of process initial clauses ========
% 0.78/1.03  
% 0.78/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.78/1.03  
% 0.78/1.03  ============================== end of clauses for search =============
% 0.78/1.03  
% 0.78/1.03  ============================== SEARCH ================================
% 0.78/1.03  
% 0.78/1.03  % Starting search at 0.01 seconds.
% 0.78/1.03  
% 0.78/1.03  ============================== PROOF =================================
% 0.78/1.03  % SZS status Unsatisfiable
% 0.78/1.03  % SZS output start Refutation
% 0.78/1.03  
% 0.78/1.03  % Proof 1 at 0.01 (+ 0.00) seconds: cls_conjecture_0.
% 0.78/1.03  % Length of proof is 7.
% 0.78/1.03  % Level of proof is 2.
% 0.78/1.03  % Maximum clause weight is 12.000.
% 0.78/1.03  % Given clauses 4.
% 0.78/1.03  
% 0.78/1.03  1 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) # label(cls_Tarski_Ocl_A_58_APartialOrder_0) # label(axiom).  [assumption].
% 0.78/1.03  2 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) # label(cls_Tarski_Or_A_61_61_Aorder_Acl_0) # label(axiom).  [assumption].
% 0.78/1.03  3 -c_Relation_Oantisym(v_r,t_a) # label(cls_conjecture_0) # label(negated_conjecture) # answer(cls_conjecture_0).  [assumption].
% 0.78/1.03  4 -c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a) # answer(cls_conjecture_0).  [copy(3),rewrite([2(1)])].
% 0.78/1.03  5 -c_in(A,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(B,tc_Product__Type_Ounit)) | c_Relation_Oantisym(c_Tarski_Opotype_Oorder(A,B,tc_Product__Type_Ounit),B) # label(cls_Tarski_OPartialOrder__iff_1) # label(axiom).  [assumption].
% 0.78/1.03  6 c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a).  [hyper(5,a,1,a)].
% 0.78/1.03  7 $F # answer(cls_conjecture_0).  [resolve(6,a,4,a)].
% 0.78/1.03  
% 0.78/1.03  % SZS output end Refutation
% 0.78/1.03  ============================== end of proof ==========================
% 0.78/1.03  
% 0.78/1.03  ============================== STATISTICS ============================
% 0.78/1.03  
% 0.78/1.03  Given=4. Generated=6. Kept=5. proofs=1.
% 0.78/1.03  Usable=4. Sos=0. Demods=1. Limbo=0, Disabled=4. Hints=0.
% 0.78/1.03  Megabytes=0.03.
% 0.78/1.03  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.78/1.03  
% 0.78/1.03  ============================== end of statistics =====================
% 0.78/1.03  
% 0.78/1.03  ============================== end of search =========================
% 0.78/1.03  
% 0.78/1.03  THEOREM PROVED
% 0.78/1.03  % SZS status Unsatisfiable
% 0.78/1.03  
% 0.78/1.03  Exiting with 1 proof.
% 0.78/1.03  
% 0.78/1.03  Process 2419 exit (max_proofs) Tue Jun 28 19:30:12 2022
% 0.78/1.03  Prover9 interrupted
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