TSTP Solution File: FLD030-2 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n032.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 : Sat Jul 16 02:24:15 EDT 2022

% Result   : Unsatisfiable 0.55s 0.86s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : FLD030-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.10  % Command  : tptp2X_and_run_prover9 %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Tue Jun  7 02:23:20 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.55/0.86  ============================== Prover9 ===============================
% 0.55/0.86  Prover9 (32) version 2009-11A, November 2009.
% 0.55/0.86  Process 18003 was started by sandbox2 on n032.cluster.edu,
% 0.55/0.86  Tue Jun  7 02:23:20 2022
% 0.55/0.86  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17850_n032.cluster.edu".
% 0.55/0.86  ============================== end of head ===========================
% 0.55/0.86  
% 0.55/0.86  ============================== INPUT =================================
% 0.55/0.86  
% 0.55/0.86  % Reading from file /tmp/Prover9_17850_n032.cluster.edu
% 0.55/0.86  
% 0.55/0.86  set(prolog_style_variables).
% 0.55/0.86  set(auto2).
% 0.55/0.86      % set(auto2) -> set(auto).
% 0.55/0.86      % set(auto) -> set(auto_inference).
% 0.55/0.86      % set(auto) -> set(auto_setup).
% 0.55/0.86      % set(auto_setup) -> set(predicate_elim).
% 0.55/0.86      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.55/0.86      % set(auto) -> set(auto_limits).
% 0.55/0.86      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.55/0.86      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.55/0.86      % set(auto) -> set(auto_denials).
% 0.55/0.86      % set(auto) -> set(auto_process).
% 0.55/0.86      % set(auto2) -> assign(new_constants, 1).
% 0.55/0.86      % set(auto2) -> assign(fold_denial_max, 3).
% 0.55/0.86      % set(auto2) -> assign(max_weight, "200.000").
% 0.55/0.86      % set(auto2) -> assign(max_hours, 1).
% 0.55/0.86      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.55/0.86      % set(auto2) -> assign(max_seconds, 0).
% 0.55/0.86      % set(auto2) -> assign(max_minutes, 5).
% 0.55/0.86      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.55/0.86      % set(auto2) -> set(sort_initial_sos).
% 0.55/0.86      % set(auto2) -> assign(sos_limit, -1).
% 0.55/0.86      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.55/0.86      % set(auto2) -> assign(max_megs, 400).
% 0.55/0.86      % set(auto2) -> assign(stats, some).
% 0.55/0.86      % set(auto2) -> clear(echo_input).
% 0.55/0.86      % set(auto2) -> set(quiet).
% 0.55/0.86      % set(auto2) -> clear(print_initial_clauses).
% 0.55/0.86      % set(auto2) -> clear(print_given).
% 0.55/0.86  assign(lrs_ticks,-1).
% 0.55/0.86  assign(sos_limit,10000).
% 0.55/0.86  assign(order,kbo).
% 0.55/0.86  set(lex_order_vars).
% 0.55/0.86  clear(print_given).
% 0.55/0.86  
% 0.55/0.86  % formulas(sos).  % not echoed (34 formulas)
% 0.55/0.86  
% 0.55/0.86  ============================== end of input ==========================
% 0.55/0.86  
% 0.55/0.86  % From the command line: assign(max_seconds, 300).
% 0.55/0.86  
% 0.55/0.86  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.55/0.86  
% 0.55/0.86  % Formulas that are not ordinary clauses:
% 0.55/0.86  
% 0.55/0.86  ============================== end of process non-clausal formulas ===
% 0.55/0.86  
% 0.55/0.86  ============================== PROCESS INITIAL CLAUSES ===============
% 0.55/0.86  
% 0.55/0.86  ============================== PREDICATE ELIMINATION =================
% 0.55/0.86  
% 0.55/0.86  ============================== end predicate elimination =============
% 0.55/0.86  
% 0.55/0.86  Auto_denials:  (non-Horn, no changes).
% 0.55/0.86  
% 0.55/0.86  Term ordering decisions:
% 0.55/0.86  Function symbol KB weights:  additive_identity=1. a=1. multiplicative_identity=1. b=1. c=1. d=1. multiply=1. add=1. additive_inverse=1. multiplicative_inverse=1.
% 0.55/0.86  
% 0.55/0.86  ============================== end of process initial clauses ========
% 0.55/0.86  
% 0.55/0.86  ============================== CLAUSES FOR SEARCH ====================
% 0.55/0.86  
% 0.55/0.86  ============================== end of clauses for search =============
% 0.55/0.86  
% 0.55/0.86  ============================== SEARCH ================================
% 0.55/0.86  
% 0.55/0.86  % Starting search at 0.01 seconds.
% 0.55/0.86  
% 0.55/0.86  ============================== PROOF =================================
% 0.55/0.86  % SZS status Unsatisfiable
% 0.55/0.86  % SZS output start Refutation
% 0.55/0.86  
% 0.55/0.86  % Proof 1 at 0.03 (+ 0.00) seconds.
% 0.55/0.86  % Length of proof is 10.
% 0.55/0.86  % Level of proof is 2.
% 0.55/0.86  % Maximum clause weight is 12.000.
% 0.55/0.86  % Given clauses 57.
% 0.55/0.86  
% 0.55/0.86  4 defined(b) # label(b_is_defined) # label(hypothesis).  [assumption].
% 0.55/0.86  7 equalish(a,d) # label(a_equals_d_6) # label(negated_conjecture).  [assumption].
% 0.55/0.86  8 equalish(multiply(a,b),c) # label(multiply_equals_c_5) # label(negated_conjecture).  [assumption].
% 0.55/0.86  10 -equalish(multiply(d,b),c) # label(multiply_not_equal_to_c_7) # label(negated_conjecture).  [assumption].
% 0.55/0.86  13 equalish(A,B) | -equalish(B,A) # label(symmetry_of_equality) # label(axiom).  [assumption].
% 0.55/0.86  22 equalish(A,B) | -equalish(A,C) | -equalish(C,B) # label(transitivity_of_equality) # label(axiom).  [assumption].
% 0.55/0.86  31 equalish(multiply(A,B),multiply(C,B)) | -defined(B) | -equalish(A,C) # label(compatibility_of_equality_and_multiplication) # label(axiom).  [assumption].
% 0.55/0.86  67 equalish(d,a).  [resolve(13,b,7,a)].
% 0.55/0.86  121 -equalish(multiply(d,b),multiply(a,b)).  [ur(22,a,10,a,c,8,a)].
% 0.55/0.86  422 $F.  [ur(31,a,121,a,b,4,a),unit_del(a,67)].
% 0.55/0.86  
% 0.55/0.86  % SZS output end Refutation
% 0.55/0.86  ============================== end of proof ==========================
% 0.55/0.86  
% 0.55/0.86  ============================== STATISTICS ============================
% 0.55/0.86  
% 0.55/0.86  Given=57. Generated=512. Kept=421. proofs=1.
% 0.55/0.86  Usable=57. Sos=364. Demods=0. Limbo=0, Disabled=34. Hints=0.
% 0.55/0.86  Megabytes=0.34.
% 0.55/0.86  User_CPU=0.03, System_CPU=0.00, Wall_clock=0.
% 0.55/0.86  
% 0.55/0.86  ============================== end of statistics =====================
% 0.55/0.86  
% 0.55/0.86  ============================== end of search =========================
% 0.55/0.86  
% 0.55/0.86  THEOREM PROVED
% 0.55/0.86  % SZS status Unsatisfiable
% 0.55/0.86  
% 0.55/0.86  Exiting with 1 proof.
% 0.55/0.86  
% 0.55/0.86  Process 18003 exit (max_proofs) Tue Jun  7 02:23:20 2022
% 0.62/0.86  Prover9 interrupted
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