TSTP Solution File: CAT001-3 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n027.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 : Fri Jul 15 00:06:12 EDT 2022

% Result   : Unsatisfiable 0.66s 0.96s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n027.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 : Sun May 29 16:11:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.66/0.96  ============================== Prover9 ===============================
% 0.66/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.66/0.96  Process 389 was started by sandbox on n027.cluster.edu,
% 0.66/0.96  Sun May 29 16:11:16 2022
% 0.66/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32704_n027.cluster.edu".
% 0.66/0.96  ============================== end of head ===========================
% 0.66/0.96  
% 0.66/0.96  ============================== INPUT =================================
% 0.66/0.96  
% 0.66/0.96  % Reading from file /tmp/Prover9_32704_n027.cluster.edu
% 0.66/0.96  
% 0.66/0.96  set(prolog_style_variables).
% 0.66/0.96  set(auto2).
% 0.66/0.96      % set(auto2) -> set(auto).
% 0.66/0.96      % set(auto) -> set(auto_inference).
% 0.66/0.96      % set(auto) -> set(auto_setup).
% 0.66/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.66/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.66/0.96      % set(auto) -> set(auto_limits).
% 0.66/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.66/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.66/0.96      % set(auto) -> set(auto_denials).
% 0.66/0.96      % set(auto) -> set(auto_process).
% 0.66/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.66/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.66/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.66/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.66/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.66/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.66/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.66/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.66/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.66/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.66/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.66/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.66/0.96      % set(auto2) -> assign(stats, some).
% 0.66/0.96      % set(auto2) -> clear(echo_input).
% 0.66/0.96      % set(auto2) -> set(quiet).
% 0.66/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.66/0.96      % set(auto2) -> clear(print_given).
% 0.66/0.96  assign(lrs_ticks,-1).
% 0.66/0.96  assign(sos_limit,10000).
% 0.66/0.96  assign(order,kbo).
% 0.66/0.96  set(lex_order_vars).
% 0.66/0.96  clear(print_given).
% 0.66/0.96  
% 0.66/0.96  % formulas(sos).  % not echoed (22 formulas)
% 0.66/0.96  
% 0.66/0.96  ============================== end of input ==========================
% 0.66/0.96  
% 0.66/0.96  % From the command line: assign(max_seconds, 300).
% 0.66/0.96  
% 0.66/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.66/0.96  
% 0.66/0.96  % Formulas that are not ordinary clauses:
% 0.66/0.96  
% 0.66/0.96  ============================== end of process non-clausal formulas ===
% 0.66/0.96  
% 0.66/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.66/0.96  
% 0.66/0.96  ============================== PREDICATE ELIMINATION =================
% 0.66/0.96  1 -there_exists(A) | A != B | equivalent(A,B) # label(existence_and_equality_implies_equivalence1) # label(axiom).  [assumption].
% 0.66/0.96  2 -equivalent(A,B) | there_exists(A) # label(equivalence_implies_existence1) # label(axiom).  [assumption].
% 0.66/0.96  3 -equivalent(A,B) | there_exists(B) # label(equivalence_implies_existence3) # label(axiom).  [assumption].
% 0.66/0.96  4 -equivalent(A,B) | A = B # label(equivalence_implies_existence2) # label(axiom).  [assumption].
% 0.66/0.96  Derived: -there_exists(A) | A != B | there_exists(B).  [resolve(1,c,3,a)].
% 0.66/0.96  5 -there_exists(A) | -there_exists(B) | A != B | equivalent(A,B) # label(existence_and_equality_implies_equivalence2) # label(axiom).  [assumption].
% 0.66/0.96  
% 0.66/0.96  ============================== end predicate elimination =============
% 0.66/0.96  
% 0.66/0.96  Auto_denials:  (non-Horn, no changes).
% 0.66/0.96  
% 0.66/0.96  Term ordering decisions:
% 0.66/0.96  Function symbol KB weights:  b=1. a=1. h=1. g=1. compose=1. f1=1. domain=1. codomain=1.
% 0.66/0.96  
% 0.66/0.96  ============================== end of process initial clauses ========
% 0.66/0.96  
% 0.66/0.96  ============================== CLAUSES FOR SEARCH ====================
% 0.66/0.96  
% 0.66/0.96  ============================== end of clauses for search =============
% 0.66/0.96  
% 0.66/0.96  ============================== SEARCH ================================
% 0.66/0.96  
% 0.66/0.96  % Starting search at 0.01 seconds.
% 0.66/0.96  
% 0.66/0.96  ============================== PROOF =================================
% 0.66/0.96  % SZS status Unsatisfiable
% 0.66/0.96  % SZS output start Refutation
% 0.66/0.96  
% 0.66/0.96  % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.66/0.96  % Length of proof is 9.
% 0.66/0.96  % Level of proof is 3.
% 0.66/0.96  % Maximum clause weight is 17.000.
% 0.66/0.96  % Given clauses 17.
% 0.66/0.96  
% 0.66/0.96  11 compose(b,h) = compose(b,g) # label(bh_equals_bg) # label(hypothesis).  [assumption].
% 0.66/0.96  12 compose(b,g) = compose(b,h).  [copy(11),flip(a)].
% 0.66/0.96  13 compose(A,compose(B,C)) = compose(compose(A,B),C) # label(associativity_of_compose) # label(axiom).  [assumption].
% 0.66/0.96  14 compose(compose(A,B),C) = compose(A,compose(B,C)).  [copy(13),flip(a)].
% 0.66/0.96  17 h != g # label(prove_h_equals_g) # label(negated_conjecture).  [assumption].
% 0.66/0.96  18 g != h.  [copy(17),flip(a)].
% 0.66/0.96  29 compose(compose(a,b),A) != B | compose(compose(a,b),C) != B | A = C # label(monomorphism) # label(hypothesis).  [assumption].
% 0.66/0.96  30 compose(a,compose(b,A)) != B | compose(a,compose(b,C)) != B | A = C.  [copy(29),rewrite([14(4),14(9)])].
% 0.66/0.96  61 $F.  [ur(30,b,14,a(flip),c,18,a),rewrite([12(4),14(10)]),xx(a)].
% 0.66/0.96  
% 0.66/0.96  % SZS output end Refutation
% 0.66/0.96  ============================== end of proof ==========================
% 0.66/0.96  
% 0.66/0.96  ============================== STATISTICS ============================
% 0.66/0.96  
% 0.66/0.96  Given=17. Generated=85. Kept=47. proofs=1.
% 0.66/0.96  Usable=17. Sos=23. Demods=11. Limbo=6, Disabled=24. Hints=0.
% 0.66/0.96  Megabytes=0.07.
% 0.66/0.96  User_CPU=0.01, System_CPU=0.00, Wall_clock=0.
% 0.66/0.96  
% 0.66/0.96  ============================== end of statistics =====================
% 0.66/0.96  
% 0.66/0.96  ============================== end of search =========================
% 0.66/0.96  
% 0.66/0.96  THEOREM PROVED
% 0.66/0.96  % SZS status Unsatisfiable
% 0.66/0.96  
% 0.66/0.96  Exiting with 1 proof.
% 0.66/0.96  
% 0.66/0.96  Process 389 exit (max_proofs) Sun May 29 16:11:16 2022
% 0.66/0.96  Prover9 interrupted
%------------------------------------------------------------------------------