TSTP Solution File: SWV961-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV961-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n022.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 : Wed Jul 20 21:15:23 EDT 2022

% Result   : Unsatisfiable 1.82s 2.06s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV961-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command  : tptp2X_and_run_prover9 %d %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 15 00:24:48 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 1.34/1.74  ============================== Prover9 ===============================
% 1.34/1.74  Prover9 (32) version 2009-11A, November 2009.
% 1.34/1.74  Process 3577 was started by sandbox on n022.cluster.edu,
% 1.34/1.74  Wed Jun 15 00:24:49 2022
% 1.34/1.74  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3424_n022.cluster.edu".
% 1.34/1.74  ============================== end of head ===========================
% 1.34/1.74  
% 1.34/1.74  ============================== INPUT =================================
% 1.34/1.74  
% 1.34/1.74  % Reading from file /tmp/Prover9_3424_n022.cluster.edu
% 1.34/1.74  
% 1.34/1.74  set(prolog_style_variables).
% 1.34/1.74  set(auto2).
% 1.34/1.74      % set(auto2) -> set(auto).
% 1.34/1.74      % set(auto) -> set(auto_inference).
% 1.34/1.74      % set(auto) -> set(auto_setup).
% 1.34/1.74      % set(auto_setup) -> set(predicate_elim).
% 1.34/1.74      % set(auto_setup) -> assign(eq_defs, unfold).
% 1.34/1.74      % set(auto) -> set(auto_limits).
% 1.34/1.74      % set(auto_limits) -> assign(max_weight, "100.000").
% 1.34/1.74      % set(auto_limits) -> assign(sos_limit, 20000).
% 1.34/1.74      % set(auto) -> set(auto_denials).
% 1.34/1.74      % set(auto) -> set(auto_process).
% 1.34/1.74      % set(auto2) -> assign(new_constants, 1).
% 1.34/1.74      % set(auto2) -> assign(fold_denial_max, 3).
% 1.34/1.74      % set(auto2) -> assign(max_weight, "200.000").
% 1.34/1.74      % set(auto2) -> assign(max_hours, 1).
% 1.34/1.74      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 1.34/1.74      % set(auto2) -> assign(max_seconds, 0).
% 1.34/1.74      % set(auto2) -> assign(max_minutes, 5).
% 1.34/1.74      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 1.34/1.74      % set(auto2) -> set(sort_initial_sos).
% 1.34/1.74      % set(auto2) -> assign(sos_limit, -1).
% 1.34/1.74      % set(auto2) -> assign(lrs_ticks, 3000).
% 1.34/1.74      % set(auto2) -> assign(max_megs, 400).
% 1.34/1.74      % set(auto2) -> assign(stats, some).
% 1.34/1.74      % set(auto2) -> clear(echo_input).
% 1.34/1.74      % set(auto2) -> set(quiet).
% 1.34/1.74      % set(auto2) -> clear(print_initial_clauses).
% 1.34/1.74      % set(auto2) -> clear(print_given).
% 1.34/1.74  assign(lrs_ticks,-1).
% 1.34/1.74  assign(sos_limit,10000).
% 1.34/1.74  assign(order,kbo).
% 1.34/1.74  set(lex_order_vars).
% 1.34/1.74  clear(print_given).
% 1.34/1.74  
% 1.34/1.74  % formulas(sos).  % not echoed (546 formulas)
% 1.34/1.74  
% 1.34/1.74  ============================== end of input ==========================
% 1.34/1.74  
% 1.34/1.74  % From the command line: assign(max_seconds, 300).
% 1.34/1.74  
% 1.34/1.74  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 1.34/1.74  
% 1.34/1.74  % Formulas that are not ordinary clauses:
% 1.34/1.74  
% 1.34/1.74  ============================== end of process non-clausal formulas ===
% 1.34/1.74  
% 1.34/1.74  ============================== PROCESS INITIAL CLAUSES ===============
% 1.34/1.74  
% 1.34/1.74  ============================== PREDICATE ELIMINATION =================
% 1.34/1.74  1 c_Type_Ois__refT(c_Type_Oty_ONT) # label(cls_is__refT__def_1) # label(axiom).  [assumption].
% 1.34/1.74  2 c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_Othrow(D,tc_List_Olist(tc_String_Ochar)),E) | -c_Type_Ois__refT(F) | -c_WellTypeRT_OWTrt(A,B,C,D,F) # label(cls_WTrtThrow_0) # label(axiom).  [assumption].
% 1.34/1.74  3 c_Progress_OWTrt_H(A,B,C,c_Expr_Oexp_Othrow(D,tc_List_Olist(tc_String_Ochar)),E) | -c_Type_Ois__refT(F) | -c_Progress_OWTrt_H(A,B,C,D,F) # label(cls_WTrt_H__WTrts_H_Ointros_I21_J_0) # label(axiom).  [assumption].
% 1.34/1.74  Derived: c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_Othrow(D,tc_List_Olist(tc_String_Ochar)),E) | -c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_ONT).  [resolve(1,a,2,b)].
% 1.34/1.74  Derived: c_Progress_OWTrt_H(A,B,C,c_Expr_Oexp_Othrow(D,tc_List_Olist(tc_String_Ochar)),E) | -c_Progress_OWTrt_H(A,B,C,D,c_Type_Oty_ONT).  [resolve(1,a,3,b)].
% 1.34/1.74  4 c_Type_Ois__refT(c_Type_Oty_OClass(A)) # label(cls_is__refT__def_2) # label(axiom).  [assumption].
% 1.34/1.74  Derived: c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_Othrow(D,tc_List_Olist(tc_String_Ochar)),E) | -c_WellTypeRT_OWTrt(A,B,C,D,c_Type_Oty_OClass(F)).  [resolve(4,a,2,b)].
% 1.34/1.74  Derived: c_Progress_OWTrt_H(A,B,C,c_Expr_Oexp_Othrow(D,tc_List_Olist(tc_String_Ochar)),E) | -c_Progress_OWTrt_H(A,B,C,D,c_Type_Oty_OClass(F)).  [resolve(4,a,3,b)].
% 1.34/1.74  5 c_Progress_OWTrt_H(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(D)) | -c_Decl_Ois__class(A,D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) | -c_Type_Ois__refT(F) | -c_Progress_OWTrt_H(A,B,C,E,F) # label(cls_WTrt_H__WTrts_H_Ointros_I2_J_0) # label(axiom).  [assumption].
% 1.34/1.74  Derived: c_Progress_OWTrt_H(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(D)) | -c_Decl_Ois__class(A,D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) | -c_Progress_OWTrt_H(A,B,C,E,c_Type_Oty_ONT).  [resolve(5,c,1,a)].
% 1.82/2.06  Derived: c_Progress_OWTrt_H(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(D)) | -c_Decl_Ois__class(A,D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) | -c_Progress_OWTrt_H(A,B,C,E,c_Type_Oty_OClass(F)).  [resolve(5,c,4,a)].
% 1.82/2.06  6 c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(D)) | -c_Decl_Ois__class(A,D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) | -c_Type_Ois__refT(F) | -c_WellTypeRT_OWTrt(A,B,C,E,F) # label(cls_WTrtCast_0) # label(axiom).  [assumption].
% 1.82/2.06  Derived: c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(D)) | -c_Decl_Ois__class(A,D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) | -c_WellTypeRT_OWTrt(A,B,C,E,c_Type_Oty_ONT).  [resolve(6,c,1,a)].
% 1.82/2.06  Derived: c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(D)) | -c_Decl_Ois__class(A,D,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) | -c_WellTypeRT_OWTrt(A,B,C,E,c_Type_Oty_OClass(F)).  [resolve(6,c,4,a)].
% 1.82/2.06  
% 1.82/2.06  ============================== end predicate elimination =============
% 1.82/2.06  
% 1.82/2.06  Auto_denials:  (non-Horn, no changes).
% 1.82/2.06  
% 1.82/2.06  Term ordering decisions:
% 1.82/2.06  Function symbol KB weights:  tc_String_Ochar=1. tc_Value_Oval=1. tc_nat=1. tc_Type_Oty=1. v_P=1. c_Type_Oty_OVoid=1. c_Type_Oty_OBoolean=1. v_ha____=1. c_Type_Oty_ONT=1. v_h_Ha____=1. v_e_092_060_094isub_0622_H____=1. c_Value_Oval_ONull=1. v_E____=1. v_e_092_060_094isub_0622____=1. v_la____=1. v_T_092_060_094isub_0622____=1. c_Value_Oval_OUnit=1. c_Expr_Obop_OEq=1. v_C____=1. v_v____=1. v_D____=1. v_F____=1. v_TF____=1. t_a=1. v_T____=1. v_l_Ha____=1. tc_prod=1. tc_fun=1. hAPP=1. c_Expr_Oexp_Othrow=1. c_Transitive__Closure_Ortrancl=1. c_Expr_Oexp_OVal=1. c_TypeRel_Owiden=1. c_Option_Ooption_OSome=1. c_Objects_Otypeof__h=1. c_Expr_Oexp_Onew=1. c_COMBI=1. tc_List_Olist=1. tc_Option_Ooption=1. tc_Expr_Oexp=1. c_SmallStep_Ored=1. c_Type_Oty_OClass=1. c_fequal=1. c_State_Ohp=1. c_TypeRel_Osko__TypeRel__XClass__widen__1__1=1. c_Expr_Oexp_OSeq=1. c_Expr_Oexp_OCast=1. c_List_Olist_OCons=1. c_Expr_Oexp_OLAss=1. c_Expr_Oexp_OWhile=1. c_Conform_Oconf=1. c_Aux_Ofun__of=1. c_Pair=1. c_Expr_Oexp_OCond=1. c_Expr_Oexp_OBinOp=1. c_Map_Omap__add=1. c_Expr_Oexp_OFAcc=1. c_Expr_Oexp_OCall=1. c_Expr_Oexp_OBlock=1. c_Wellfounded_Olex__prod=1. c_Recdef_Osame__fst=1. c_Expr_Oexp_OFAss=1. c_Fun_Ofun__upd=1. c_Expr_Oexp_OTryCatch=1. c_WellType_Osko__WellType__XWT__elim__cases__2__1=1. c_WellType_Osko__WellType__XWT__elim__cases__2__2=1. c_Conform_Osko__Conform__Xconf__def__1__1=1. v_sko__CHAINED__1=1. v_sko__local__XFAssRed2__2__1=1. v_sko__local__XFAssRed2__Xhyps__2__1=1. v_sko__local__XIH__1=1. c_Conform_Osko__Conform__Xconfs__conv__map__1__1=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1=1.
% 1.82/2.06  
% 1.82/2.06  ============================== end of process initial clauses ========
% 1.82/2.06  
% 1.82/2.06  ============================== CLAUSES FOR SEARCH ====================
% 1.82/2.06  
% 1.82/2.06  ============================== end of clauses for search =============
% 1.82/2.06  
% 1.82/2.06  ============================== SEARCH ================================
% 1.82/2.06  
% 1.82/2.06  % Starting search at 0.29 seconds.
% 1.82/2.06  
% 1.82/2.06  ============================== PROOF =================================
% 1.82/2.06  % SZS status Unsatisfiable
% 1.82/2.06  % SZS output start Refutation
% 1.82/2.06  
% 1.82/2.06  % Proof 1 at 0.49 (+ 0.01) seconds.
% 1.82/2.06  % Length of proof is 6.
% 1.82/2.06  % Level of proof is 2.
% 1.82/2.06  % Maximum clause weight is 21.000.
% 1.82/2.06  % Given clauses 473.
% 1.82/2.06  
% 1.82/2.06  569 v_thesis____ | -hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),A),v_T_092_060_094isub_0622____)) | -c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,A) # label(cls_that_0) # label(axiom).  [assumption].
% 1.82/2.06  573 hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)) # label(cls_CHAINED_1) # label(axiom).  [assumption].
% 1.82/2.06  574 c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)) # label(cls_CHAINED_0) # label(axiom).  [assumption].
% 1.82/2.06  575 -v_thesis____ # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 1.82/2.06  630 -hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),A),v_T_092_060_094isub_0622____)) | -c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,A).  [back_unit_del(569),unit_del(a,575)].
% 1.82/2.06  1393 $F.  [resolve(630,b,574,a),unit_del(a,573)].
% 1.82/2.06  
% 1.82/2.06  % SZS output end Refutation
% 1.82/2.06  ============================== end of proof ==========================
% 1.82/2.06  
% 1.82/2.06  ============================== STATISTICS ============================
% 1.82/2.06  
% 1.82/2.06  Given=473. Generated=1769. Kept=1241. proofs=1.
% 1.82/2.06  Usable=471. Sos=754. Demods=17. Limbo=0, Disabled=570. Hints=0.
% 1.82/2.06  Megabytes=7.02.
% 1.82/2.06  User_CPU=0.49, System_CPU=0.01, Wall_clock=0.
% 1.82/2.06  
% 1.82/2.06  ============================== end of statistics =====================
% 1.82/2.06  
% 1.82/2.06  ============================== end of search =========================
% 1.82/2.06  
% 1.82/2.06  THEOREM PROVED
% 1.82/2.06  % SZS status Unsatisfiable
% 1.82/2.06  
% 1.82/2.06  Exiting with 1 proof.
% 1.82/2.06  
% 1.82/2.06  Process 3577 exit (max_proofs) Wed Jun 15 00:24:49 2022
% 1.82/2.06  Prover9 interrupted
%------------------------------------------------------------------------------