TSTP Solution File: SWV968-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV968-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n029.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 21:15:24 EDT 2022

% Result   : Unsatisfiable 0.84s 1.16s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV968-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 03:49:11 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.84/1.12  ============================== Prover9 ===============================
% 0.84/1.12  Prover9 (32) version 2009-11A, November 2009.
% 0.84/1.12  Process 2803 was started by sandbox2 on n029.cluster.edu,
% 0.84/1.12  Wed Jun 15 03:49:12 2022
% 0.84/1.12  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2650_n029.cluster.edu".
% 0.84/1.12  ============================== end of head ===========================
% 0.84/1.12  
% 0.84/1.12  ============================== INPUT =================================
% 0.84/1.12  
% 0.84/1.12  % Reading from file /tmp/Prover9_2650_n029.cluster.edu
% 0.84/1.12  
% 0.84/1.12  set(prolog_style_variables).
% 0.84/1.12  set(auto2).
% 0.84/1.12      % set(auto2) -> set(auto).
% 0.84/1.12      % set(auto) -> set(auto_inference).
% 0.84/1.12      % set(auto) -> set(auto_setup).
% 0.84/1.12      % set(auto_setup) -> set(predicate_elim).
% 0.84/1.12      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.84/1.12      % set(auto) -> set(auto_limits).
% 0.84/1.12      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.84/1.12      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.84/1.12      % set(auto) -> set(auto_denials).
% 0.84/1.12      % set(auto) -> set(auto_process).
% 0.84/1.12      % set(auto2) -> assign(new_constants, 1).
% 0.84/1.12      % set(auto2) -> assign(fold_denial_max, 3).
% 0.84/1.12      % set(auto2) -> assign(max_weight, "200.000").
% 0.84/1.12      % set(auto2) -> assign(max_hours, 1).
% 0.84/1.12      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.84/1.12      % set(auto2) -> assign(max_seconds, 0).
% 0.84/1.12      % set(auto2) -> assign(max_minutes, 5).
% 0.84/1.12      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.84/1.12      % set(auto2) -> set(sort_initial_sos).
% 0.84/1.12      % set(auto2) -> assign(sos_limit, -1).
% 0.84/1.12      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.84/1.12      % set(auto2) -> assign(max_megs, 400).
% 0.84/1.12      % set(auto2) -> assign(stats, some).
% 0.84/1.12      % set(auto2) -> clear(echo_input).
% 0.84/1.12      % set(auto2) -> set(quiet).
% 0.84/1.12      % set(auto2) -> clear(print_initial_clauses).
% 0.84/1.12      % set(auto2) -> clear(print_given).
% 0.84/1.12  assign(lrs_ticks,-1).
% 0.84/1.12  assign(sos_limit,10000).
% 0.84/1.12  assign(order,kbo).
% 0.84/1.12  set(lex_order_vars).
% 0.84/1.12  clear(print_given).
% 0.84/1.12  
% 0.84/1.12  % formulas(sos).  % not echoed (267 formulas)
% 0.84/1.12  
% 0.84/1.12  ============================== end of input ==========================
% 0.84/1.12  
% 0.84/1.12  % From the command line: assign(max_seconds, 300).
% 0.84/1.12  
% 0.84/1.12  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.84/1.12  
% 0.84/1.12  % Formulas that are not ordinary clauses:
% 0.84/1.12  
% 0.84/1.12  ============================== end of process non-clausal formulas ===
% 0.84/1.12  
% 0.84/1.12  ============================== PROCESS INITIAL CLAUSES ===============
% 0.84/1.12  
% 0.84/1.12  ============================== PREDICATE ELIMINATION =================
% 0.84/1.12  1 c_Type_Ois__refT(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(A,B,C,D,E)) | -c_WellTypeRT_OWTrt(C,E,B,c_Expr_Oexp_OCast(A,D,tc_List_Olist(tc_String_Ochar)),F) # label(cls_WTrt__elim__cases_I6_J_2) # label(axiom).  [assumption].
% 0.84/1.12  2 A = c_Type_Oty_OClass(c_Type_Osko__Type__XrefTE__1__1(A)) | A = c_Type_Oty_ONT | -c_Type_Ois__refT(A) # label(cls_refTE_0) # label(axiom).  [assumption].
% 0.84/1.12  3 A = c_Type_Oty_OClass(c_Type_Osko__Type__Xis__refT__def__1__1(A)) | A = c_Type_Oty_ONT | -c_Type_Ois__refT(A) # label(cls_is__refT__def_0) # label(axiom).  [assumption].
% 0.84/1.12  Derived: -c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),F) | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(D,C,A,E,B) = c_Type_Oty_OClass(c_Type_Osko__Type__XrefTE__1__1(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(D,C,A,E,B))) | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(D,C,A,E,B) = c_Type_Oty_ONT.  [resolve(1,a,2,c)].
% 0.84/1.12  Derived: -c_WellTypeRT_OWTrt(A,B,C,c_Expr_Oexp_OCast(D,E,tc_List_Olist(tc_String_Ochar)),F) | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(D,C,A,E,B) = c_Type_Oty_OClass(c_Type_Osko__Type__Xis__refT__def__1__1(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(D,C,A,E,B))) | c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(D,C,A,E,B) = c_Type_Oty_ONT.  [resolve(1,a,3,c)].
% 0.84/1.12  4 A = c_Type_Oty_OInteger | A = c_Type_Oty_OBoolean | A = c_Type_Oty_OVoid | c_Type_Ois__refT(A) # label(cls_not__refTE_0) # label(axiom).  [assumption].
% 0.84/1.12  Derived: A = c_Type_Oty_OInteger | A = c_Type_Oty_OBoolean | A = c_Type_Oty_OVoid | A = c_Type_Oty_OClass(c_Type_Osko__Type__XrefTE__1__1(A)) | A = c_Type_Oty_ONT.  [resolve(4,d,2,c)].
% 0.84/1.12  Derived: A = c_Type_Oty_OInteger | A = c_Type_Oty_OBoolean | A = c_Type_Oty_OVoid | A = c_Type_Oty_OClass(c_Type_Osko__Type__Xis__refT__def__1__1(A)) | A = c_Type_Oty_ONT.  [resolve(4,d,3,c)].
% 0.84/1.13  5 c_Type_Ois__refT(c_Type_Oty_ONT) # label(cls_is__refT__def_1) # label(axiom).  [assumption].
% 0.84/1.13  Derived: c_Type_Oty_ONT = c_Type_Oty_OClass(c_Type_Osko__Type__XrefTE__1__1(c_Type_Oty_ONT)) | c_Type_Oty_ONT = c_Type_Oty_ONT.  [resolve(5,a,2,c)].
% 0.84/1.13  Derived: c_Type_Oty_ONT = c_Type_Oty_OClass(c_Type_Osko__Type__Xis__refT__def__1__1(c_Type_Oty_ONT)) | c_Type_Oty_ONT = c_Type_Oty_ONT.  [resolve(5,a,3,c)].
% 0.84/1.13  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].
% 0.84/1.13  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_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(F,V6,V7,V8,V9)) | -c_WellTypeRT_OWTrt(V7,V9,V6,c_Expr_Oexp_OCast(F,V8,tc_List_Olist(tc_String_Ochar)),V10).  [resolve(6,c,1,a)].
% 0.84/1.13  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,F) | F = c_Type_Oty_OInteger | F = c_Type_Oty_OBoolean | F = c_Type_Oty_OVoid.  [resolve(6,c,4,d)].
% 0.84/1.13  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,5,a)].
% 0.84/1.13  7 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].
% 0.84/1.13  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_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1(F,V6,V7,V8,V9)) | -c_WellTypeRT_OWTrt(V7,V9,V6,c_Expr_Oexp_OCast(F,V8,tc_List_Olist(tc_String_Ochar)),V10).  [resolve(7,c,1,a)].
% 0.84/1.13  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,F) | F = c_Type_Oty_OInteger | F = c_Type_Oty_OBoolean | F = c_Type_Oty_OVoid.  [resolve(7,c,4,d)].
% 0.84/1.13  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(7,c,5,a)].
% 0.84/1.13  8 c_Type_Ois__refT(c_Type_Oty_OClass(A)) # label(cls_is__refT__def_2) # label(axiom).  [assumption].
% 0.84/1.13  Derived: c_Type_Oty_OClass(A) = c_Type_Oty_OClass(c_Type_Osko__Type__XrefTE__1__1(c_Type_Oty_OClass(A))) | c_Type_Oty_OClass(A) = c_Type_Oty_ONT.  [resolve(8,a,2,c)].
% 0.84/1.13  Derived: c_Type_Oty_OClass(A) = c_Type_Oty_OClass(c_Type_Osko__Type__Xis__refT__def__1__1(c_Type_Oty_OClass(A))) | c_Type_Oty_OClass(A) = c_Type_Oty_ONT.  [resolve(8,a,3,c)].
% 0.84/1.13  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(8,a,6,c)].
% 0.84/1.16  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(8,a,7,c)].
% 0.84/1.16  9 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom).  [assumption].
% 0.84/1.16  10 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom).  [assumption].
% 0.84/1.16  Derived: A = A.  [resolve(9,b,10,a)].
% 0.84/1.16  
% 0.84/1.16  ============================== end predicate elimination =============
% 0.84/1.16  
% 0.84/1.16  Auto_denials:  (non-Horn, no changes).
% 0.84/1.16  
% 0.84/1.16  Term ordering decisions:
% 0.84/1.16  Function symbol KB weights:  tc_String_Ochar=1. c_Type_Oty_ONT=1. c_Type_Oty_OVoid=1. t_a=1. c_Type_Oty_OBoolean=1. c_Type_Oty_OInteger=1. v_P=1. v_ha____=1. tc_Value_Oval=1. v_e_Ha____=1. v_h_Ha____=1. v_E____=1. v_ea____=1. tc_nat=1. v_U____=1. v_la____=1. v_M____=1. v_T____=1. v_esa____=1. tc_Type_Oty=1. v_C_H____=1. v_C____=1. hAPP=1. tc_prod=1. tc_fun=1. c_Expr_Oexp_Onew=1. c_COMBI=1. tc_List_Olist=1. c_Type_Oty_OClass=1. tc_Expr_Oexp=1. tc_Option_Ooption=1. c_Type_Osko__Type__Xis__refT__def__1__1=1. c_Type_Osko__Type__XrefTE__1__1=1. c_Type_Osko__Type__Xty__Xexhaust__1__1=1. c_Type_Osko__Type__Xty__Xnchotomy__1__1=1. v_sko__Type__Xty__Xinduct__1=1. v_sko__Type__Xty__Xinducts__1=1. v_sko__Value__Xdefault__val__Xinduct__1=1. v_sko__Type__Xty__Xsplit__1=1. v_sko__Type__Xty__Xsplit__asm__1=1. c_Expr_Oexp_OCast=1. c_Expr_Oexp_OSeq=1. c_Type_Osko__Type__Xty__Xcase__cong__1__1=1. c_Expr_Oexp_OFAcc=1. c_Pair=1. c_Expr_Oexp_OCall=1. c_Expr_Oexp_OFAss=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1=1. v_sko__local__XCallObj__2__1=1. v_sko__local__XCallObj__Xhyps__2__1=1. v_sko__local__XIH__1=1. c_Type_Oty_Oty__case=1. c_Type_Oty_Oty__rec=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1=1. c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2=1. v_sko__unknown__thm__BwcM__1=1.
% 0.84/1.16  
% 0.84/1.16  ============================== PROOF =================================
% 0.84/1.16  % SZS status Unsatisfiable
% 0.84/1.16  % SZS output start Refutation
% 0.84/1.16  
% 0.84/1.16  % Proof 1 at 0.09 (+ 0.00) seconds.
% 0.84/1.16  % Length of proof is 5.
% 0.84/1.16  % Level of proof is 2.
% 0.84/1.16  % Maximum clause weight is 6.000.
% 0.84/1.16  % Given clauses 0.
% 0.84/1.16  
% 0.84/1.16  340 v_U____ = c_Type_Oty_OClass(v_C_H____) # label(cls_UClass_0) # label(axiom).  [assumption].
% 0.84/1.16  341 c_Type_Oty_OClass(v_C_H____) = v_U____.  [copy(340),flip(a)].
% 0.84/1.16  355 c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) # label(cls_wte_H_0) # label(axiom).  [assumption].
% 0.84/1.16  371 -c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)) # label(cls_conjecture_0) # label(negated_conjecture).  [assumption].
% 0.84/1.16  372 $F.  [copy(371),rewrite([341(6)]),unit_del(a,355)].
% 0.84/1.16  
% 0.84/1.16  % SZS output end Refutation
% 0.84/1.16  ============================== end of proof ==========================
% 0.84/1.16  
% 0.84/1.16  ============================== STATISTICS ============================
% 0.84/1.16  
% 0.84/1.16  Given=0. Generated=256. Kept=223. proofs=1.
% 0.84/1.16  Usable=0. Sos=0. Demods=12. Limbo=223, Disabled=267. Hints=0.
% 0.84/1.16  Megabytes=0.75.
% 0.84/1.16  User_CPU=0.09, System_CPU=0.00, Wall_clock=0.
% 0.84/1.16  
% 0.84/1.16  ============================== end of statistics =====================
% 0.84/1.16  
% 0.84/1.16  ============================== end of search =========================
% 0.84/1.16  
% 0.84/1.16  THEOREM PROVED
% 0.84/1.16  % SZS status Unsatisfiable
% 0.84/1.16  
% 0.84/1.16  Exiting with 1 proof.
% 0.84/1.16  
% 0.84/1.16  Process 2803 exit (max_proofs) Wed Jun 15 03:49:12 2022
% 0.84/1.16  Prover9 interrupted
%------------------------------------------------------------------------------