TSTP Solution File: CSR068+1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : CSR068+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n015.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 23:05:54 EDT 2022

% Result   : Theorem 0.43s 1.03s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR068+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n015.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 : Sat Jun 11 12:35:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.43/1.02  ============================== Prover9 ===============================
% 0.43/1.02  Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.02  Process 19994 was started by sandbox2 on n015.cluster.edu,
% 0.43/1.02  Sat Jun 11 12:35:21 2022
% 0.43/1.02  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_19840_n015.cluster.edu".
% 0.43/1.02  ============================== end of head ===========================
% 0.43/1.02  
% 0.43/1.02  ============================== INPUT =================================
% 0.43/1.02  
% 0.43/1.02  % Reading from file /tmp/Prover9_19840_n015.cluster.edu
% 0.43/1.02  
% 0.43/1.02  set(prolog_style_variables).
% 0.43/1.02  set(auto2).
% 0.43/1.02      % set(auto2) -> set(auto).
% 0.43/1.02      % set(auto) -> set(auto_inference).
% 0.43/1.02      % set(auto) -> set(auto_setup).
% 0.43/1.02      % set(auto_setup) -> set(predicate_elim).
% 0.43/1.02      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.02      % set(auto) -> set(auto_limits).
% 0.43/1.02      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.02      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.02      % set(auto) -> set(auto_denials).
% 0.43/1.02      % set(auto) -> set(auto_process).
% 0.43/1.02      % set(auto2) -> assign(new_constants, 1).
% 0.43/1.02      % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.02      % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.02      % set(auto2) -> assign(max_hours, 1).
% 0.43/1.02      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.02      % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.02      % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.02      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.02      % set(auto2) -> set(sort_initial_sos).
% 0.43/1.02      % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.02      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.02      % set(auto2) -> assign(max_megs, 400).
% 0.43/1.02      % set(auto2) -> assign(stats, some).
% 0.43/1.02      % set(auto2) -> clear(echo_input).
% 0.43/1.02      % set(auto2) -> set(quiet).
% 0.43/1.02      % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.02      % set(auto2) -> clear(print_given).
% 0.43/1.02  assign(lrs_ticks,-1).
% 0.43/1.02  assign(sos_limit,10000).
% 0.43/1.02  assign(order,kbo).
% 0.43/1.02  set(lex_order_vars).
% 0.43/1.02  clear(print_given).
% 0.43/1.02  
% 0.43/1.02  % formulas(sos).  % not echoed (56 formulas)
% 0.43/1.02  
% 0.43/1.02  ============================== end of input ==========================
% 0.43/1.02  
% 0.43/1.02  % From the command line: assign(max_seconds, 300).
% 0.43/1.02  
% 0.43/1.02  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.02  
% 0.43/1.02  % Formulas that are not ordinary clauses:
% 0.43/1.02  1 (all INS (mtvisible(c_tptp_spindleheadmt) & furpelt(INS) -> tptpofobject(INS,f_tptpquantityfn_1(n_328)))) # label(just9) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  2 mtvisible(c_tptp_spindleheadmt) -> relationallinstance(c_tptpofobject,c_furpelt,f_tptpquantityfn_1(n_328)) # label(just10) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  3 (all OBJ all COL1 all COL2 -(isa(OBJ,COL1) & isa(OBJ,COL2) & disjointwith(COL1,COL2))) # label(just11) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  4 (all SPECPRED all PRED all GENLPRED (genlinverse(SPECPRED,PRED) & genlinverse(PRED,GENLPRED) -> genlpreds(SPECPRED,GENLPRED))) # label(just12) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  5 (all ARG1 all INS (genlpreds(ARG1,INS) -> predicate(INS))) # label(just13) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  6 (all ARG1 all INS (genlpreds(ARG1,INS) -> predicate(INS))) # label(just14) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  7 (all INS all ARG2 (genlpreds(INS,ARG2) -> predicate(INS))) # label(just15) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  8 (all INS all ARG2 (genlpreds(INS,ARG2) -> predicate(INS))) # label(just16) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  9 (all X all Y all Z (genlpreds(X,Y) & genlpreds(Y,Z) -> genlpreds(X,Z))) # label(just17) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  10 (all X (predicate(X) -> genlpreds(X,X))) # label(just18) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  11 (all X (predicate(X) -> genlpreds(X,X))) # label(just19) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  12 (all ARG1 all INS (genlinverse(ARG1,INS) -> binarypredicate(INS))) # label(just20) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  13 (all INS all ARG2 (genlinverse(INS,ARG2) -> binarypredicate(INS))) # label(just21) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  14 (all OLD all ARG2 all NEW (genlinverse(OLD,ARG2) & genlpreds(NEW,OLD) -> genlinverse(NEW,ARG2))) # label(just22) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  15 (all ARG1 all OLD all NEW (genlinverse(ARG1,OLD) & genlpreds(OLD,NEW) -> genlinverse(ARG1,NEW))) # label(just23) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  16 (all ARG1 all INS (disjointwith(ARG1,INS) -> collection(INS))) # label(just24) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  17 (all INS all ARG2 (disjointwith(INS,ARG2) -> collection(INS))) # label(just25) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  18 (all X all Y (disjointwith(X,Y) -> disjointwith(Y,X))) # label(just26) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  19 (all ARG1 all OLD all NEW (disjointwith(ARG1,OLD) & genls(NEW,OLD) -> disjointwith(ARG1,NEW))) # label(just27) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  20 (all OLD all ARG2 all NEW (disjointwith(OLD,ARG2) & genls(NEW,OLD) -> disjointwith(NEW,ARG2))) # label(just28) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  21 (all ARG1 natfunction(f_tptpquantityfn_1(ARG1),c_tptpquantityfn_1)) # label(just29) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  22 (all ARG1 natargument(f_tptpquantityfn_1(ARG1),n_1,ARG1)) # label(just30) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  23 (all ARG1 tptpquantity(f_tptpquantityfn_1(ARG1))) # label(just31) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  24 (all ARG1 all INS (tptpofobject(ARG1,INS) -> tptpquantity(INS))) # label(just32) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  25 (all INS all ARG2 (tptpofobject(INS,ARG2) -> partiallytangible(INS))) # label(just33) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  26 (all ARG1 all ARG2 all INS (relationallinstance(ARG1,ARG2,INS) -> thing(INS))) # label(just34) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  27 (all ARG1 all INS all ARG3 (relationallinstance(ARG1,INS,ARG3) -> collection(INS))) # label(just35) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  28 (all INS all ARG2 all ARG3 (relationallinstance(INS,ARG2,ARG3) -> binarypredicate(INS))) # label(just36) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  29 (all X (isa(X,c_furpelt) -> furpelt(X))) # label(just37) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  30 (all X (furpelt(X) -> isa(X,c_furpelt))) # label(just38) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  31 (all X (isa(X,c_transitivebinarypredicate) -> transitivebinarypredicate(X))) # label(just40) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  32 (all X (transitivebinarypredicate(X) -> isa(X,c_transitivebinarypredicate))) # label(just41) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  33 (all ARG1 all INS (isa(ARG1,INS) -> collection(INS))) # label(just42) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  34 (all ARG1 all INS (isa(ARG1,INS) -> collection(INS))) # label(just43) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  35 (all INS all ARG2 (isa(INS,ARG2) -> thing(INS))) # label(just44) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  36 (all INS all ARG2 (isa(INS,ARG2) -> thing(INS))) # label(just45) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  37 (all ARG1 all OLD all NEW (isa(ARG1,OLD) & genls(OLD,NEW) -> isa(ARG1,NEW))) # label(just46) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  38 (all SPECMT all GENLMT (mtvisible(SPECMT) & genlmt(SPECMT,GENLMT) -> mtvisible(GENLMT))) # label(just47) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  39 (all ARG1 all INS (genlmt(ARG1,INS) -> microtheory(INS))) # label(just48) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  40 (all ARG1 all INS (genlmt(ARG1,INS) -> microtheory(INS))) # label(just49) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  41 (all INS all ARG2 (genlmt(INS,ARG2) -> microtheory(INS))) # label(just50) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  42 (all INS all ARG2 (genlmt(INS,ARG2) -> microtheory(INS))) # label(just51) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  43 (all X all Y all Z (genlmt(X,Y) & genlmt(Y,Z) -> genlmt(X,Z))) # label(just52) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.02  44 (all X (microtheory(X) -> genlmt(X,X))) # label(just53) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.03  45 (all X (microtheory(X) -> genlmt(X,X))) # label(just54) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.03  46 -(mtvisible(c_tptp_member2356_mt) -> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))) # label(query68) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.03  
% 0.43/1.03  ============================== end of process non-clausal formulas ===
% 0.43/1.03  
% 0.43/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.03  
% 0.43/1.03  ============================== PREDICATE ELIMINATION =================
% 0.43/1.03  47 -transitivebinarypredicate(A) | isa(A,c_transitivebinarypredicate) # label(just41) # label(axiom).  [clausify(32)].
% 0.43/1.03  48 transitivebinarypredicate(c_genlmt) # label(just2) # label(axiom).  [assumption].
% 0.43/1.03  49 -isa(A,c_transitivebinarypredicate) | transitivebinarypredicate(A) # label(just40) # label(axiom).  [clausify(31)].
% 0.43/1.03  Derived: isa(c_genlmt,c_transitivebinarypredicate).  [resolve(47,a,48,a)].
% 0.43/1.03  50 -furpelt(A) | isa(A,c_furpelt) # label(just38) # label(axiom).  [clausify(30)].
% 0.43/1.03  51 furpelt(c_theprototypicalfurpelt) # label(just8) # label(axiom).  [assumption].
% 0.43/1.03  52 -isa(A,c_furpelt) | furpelt(A) # label(just37) # label(axiom).  [clausify(29)].
% 0.43/1.03  Derived: isa(c_theprototypicalfurpelt,c_furpelt).  [resolve(50,a,51,a)].
% 0.43/1.03  53 -mtvisible(c_tptp_spindleheadmt) | -furpelt(A) | tptpofobject(A,f_tptpquantityfn_1(n_328)) # label(just9) # label(axiom).  [clausify(1)].
% 0.43/1.03  Derived: -mtvisible(c_tptp_spindleheadmt) | tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)).  [resolve(53,b,51,a)].
% 0.43/1.03  Derived: -mtvisible(c_tptp_spindleheadmt) | tptpofobject(A,f_tptpquantityfn_1(n_328)) | -isa(A,c_furpelt).  [resolve(53,b,52,b)].
% 0.43/1.03  54 -mtvisible(c_tptp_spindleheadmt) | tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)).  [resolve(53,b,51,a)].
% 0.43/1.03  55 -tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) # label(query68) # label(negated_conjecture).  [clausify(46)].
% 0.43/1.03  56 -tptpofobject(A,B) | partiallytangible(A) # label(just33) # label(axiom).  [clausify(25)].
% 0.43/1.03  Derived: -mtvisible(c_tptp_spindleheadmt).  [resolve(54,b,55,a)].
% 0.43/1.03  57 -mtvisible(c_tptp_spindleheadmt) | tptpofobject(A,f_tptpquantityfn_1(n_328)) | -isa(A,c_furpelt).  [resolve(53,b,52,b)].
% 0.43/1.03  58 -predicate(A) | genlpreds(A,A) # label(just18) # label(axiom).  [clausify(10)].
% 0.43/1.03  59 -genlpreds(A,B) | predicate(B) # label(just13) # label(axiom).  [clausify(5)].
% 0.43/1.03  60 -genlpreds(A,B) | predicate(B) # label(just14) # label(axiom).  [clausify(6)].
% 0.43/1.03  61 -genlpreds(A,B) | predicate(A) # label(just15) # label(axiom).  [clausify(7)].
% 0.43/1.03  62 -genlpreds(A,B) | predicate(A) # label(just16) # label(axiom).  [clausify(8)].
% 0.43/1.03  Derived: genlpreds(A,A) | -genlpreds(B,A).  [resolve(58,a,59,b)].
% 0.43/1.03  Derived: genlpreds(A,A) | -genlpreds(A,B).  [resolve(58,a,61,b)].
% 0.43/1.03  63 -predicate(A) | genlpreds(A,A) # label(just19) # label(axiom).  [clausify(11)].
% 0.43/1.03  64 -microtheory(A) | genlmt(A,A) # label(just53) # label(axiom).  [clausify(44)].
% 0.43/1.03  65 -genlmt(A,B) | microtheory(B) # label(just48) # label(axiom).  [clausify(39)].
% 0.43/1.03  66 -genlmt(A,B) | microtheory(B) # label(just49) # label(axiom).  [clausify(40)].
% 0.43/1.03  67 -genlmt(A,B) | microtheory(A) # label(just50) # label(axiom).  [clausify(41)].
% 0.43/1.03  68 -genlmt(A,B) | microtheory(A) # label(just51) # label(axiom).  [clausify(42)].
% 0.43/1.03  Derived: genlmt(A,A) | -genlmt(B,A).  [resolve(64,a,65,b)].
% 0.43/1.03  Derived: genlmt(A,A) | -genlmt(A,B).  [resolve(64,a,67,b)].
% 0.43/1.03  69 -microtheory(A) | genlmt(A,A) # label(just54) # label(axiom).  [clausify(45)].
% 0.43/1.03  
% 0.43/1.03  ============================== end predicate elimination =============
% 0.43/1.03  
% 0.43/1.03  Auto_denials:
% 0.43/1.03    % copying label just11 to answer in negative clause
% 0.43/1.03    % assign(max_proofs, 2).  % (Horn set with more than one neg. clause)
% 0.43/1.03  
% 0.43/1.03  Term ordering decisions:
% 0.43/1.03  Function symbol KB weights:  c_basekb=1. c_calendarsmt=1. c_calendarsvocabularymt=1. c_cyclistsmt=1. c_tptp_member2356_mt=1. c_tptp_spindleheadmt=1. c_universalvocabularymt=1. c_furpelt=1. c_genlmt=1. c_theprototypicalfurpelt=1. c_transitivebinarypredicate=1.
% 0.43/1.03  
% 0.43/1.03  ============================== end of process initial clauses ========
% 0.43/1.03  
% 0.43/1.03  ============================== CLAUSES FOR SEARCH ====================
% 0.43/1.03  
% 0.43/1.03  ============================== end of clauses for search =============
% 0.43/1.03  
% 0.43/1.03  ============================== SEARCH ================================
% 0.43/1.03  
% 0.43/1.03  % Starting search at 0.02 seconds.
% 0.43/1.03  
% 0.43/1.03  ============================== PROOF =================================
% 0.43/1.03  % SZS status Theorem
% 0.43/1.03  % SZS output start Refutation
% 0.43/1.03  
% 0.43/1.03  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.43/1.03  % Length of proof is 12.
% 0.43/1.03  % Level of proof is 4.
% 0.43/1.03  % Maximum clause weight is 7.000.
% 0.43/1.03  % Given clauses 12.
% 0.43/1.03  
% 0.43/1.03  1 (all INS (mtvisible(c_tptp_spindleheadmt) & furpelt(INS) -> tptpofobject(INS,f_tptpquantityfn_1(n_328)))) # label(just9) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.03  38 (all SPECMT all GENLMT (mtvisible(SPECMT) & genlmt(SPECMT,GENLMT) -> mtvisible(GENLMT))) # label(just47) # label(axiom) # label(non_clause).  [assumption].
% 0.43/1.03  46 -(mtvisible(c_tptp_member2356_mt) -> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))) # label(query68) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.43/1.03  51 furpelt(c_theprototypicalfurpelt) # label(just8) # label(axiom).  [assumption].
% 0.43/1.03  53 -mtvisible(c_tptp_spindleheadmt) | -furpelt(A) | tptpofobject(A,f_tptpquantityfn_1(n_328)) # label(just9) # label(axiom).  [clausify(1)].
% 0.43/1.03  54 -mtvisible(c_tptp_spindleheadmt) | tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)).  [resolve(53,b,51,a)].
% 0.43/1.03  55 -tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) # label(query68) # label(negated_conjecture).  [clausify(46)].
% 0.43/1.03  72 mtvisible(c_tptp_member2356_mt) # label(query68) # label(negated_conjecture).  [clausify(46)].
% 0.43/1.03  78 genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt) # label(just7) # label(axiom).  [assumption].
% 0.43/1.03  81 -mtvisible(A) | -genlmt(A,B) | mtvisible(B) # label(just47) # label(axiom).  [clausify(38)].
% 0.43/1.03  89 -mtvisible(c_tptp_spindleheadmt).  [resolve(54,b,55,a)].
% 0.43/1.03  94 $F.  [ur(81,a,72,a,b,78,a),unit_del(a,89)].
% 0.43/1.03  
% 0.43/1.03  % SZS output end Refutation
% 0.43/1.03  ============================== end of proof ==========================
% 0.43/1.03  
% 0.43/1.03  % Disable descendants (x means already disabled):
% 0.43/1.03   0x 55x 89
% 0.43/1.03  
% 0.43/1.03  ============================== STATISTICS ============================
% 0.43/1.03  
% 0.43/1.03  Given=54. Generated=218. Kept=55. proofs=1.
% 0.43/1.03  Usable=54. Sos=0. Demods=0. Limbo=0, Disabled=67. Hints=0.
% 0.43/1.03  Megabytes=0.10.
% 0.43/1.03  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.43/1.03  
% 0.43/1.03  ============================== end of statistics =====================
% 0.43/1.03  
% 0.43/1.03  ============================== end of search =========================
% 0.43/1.03  
% 0.43/1.03  SEARCH FAILED
% 0.43/1.03  
% 0.43/1.03  Exiting with 1 proof.
% 0.43/1.03  
% 0.43/1.03  Process 19994 exit (sos_empty) Sat Jun 11 12:35:21 2022
% 0.43/1.03  Prover9 interrupted
%------------------------------------------------------------------------------