TSTP Solution File: SWV957-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SWV957-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.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 21:15:22 EDT 2022

% Result   : Unsatisfiable 0.84s 1.13s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV957-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n008.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 : Thu Jun 16 06:45:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.84/1.10  ============================== Prover9 ===============================
% 0.84/1.10  Prover9 (32) version 2009-11A, November 2009.
% 0.84/1.10  Process 17681 was started by sandbox2 on n008.cluster.edu,
% 0.84/1.10  Thu Jun 16 06:45:23 2022
% 0.84/1.10  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_17441_n008.cluster.edu".
% 0.84/1.10  ============================== end of head ===========================
% 0.84/1.10  
% 0.84/1.10  ============================== INPUT =================================
% 0.84/1.10  
% 0.84/1.10  % Reading from file /tmp/Prover9_17441_n008.cluster.edu
% 0.84/1.10  
% 0.84/1.10  set(prolog_style_variables).
% 0.84/1.10  set(auto2).
% 0.84/1.10      % set(auto2) -> set(auto).
% 0.84/1.10      % set(auto) -> set(auto_inference).
% 0.84/1.10      % set(auto) -> set(auto_setup).
% 0.84/1.10      % set(auto_setup) -> set(predicate_elim).
% 0.84/1.10      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.84/1.10      % set(auto) -> set(auto_limits).
% 0.84/1.10      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.84/1.10      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.84/1.10      % set(auto) -> set(auto_denials).
% 0.84/1.10      % set(auto) -> set(auto_process).
% 0.84/1.10      % set(auto2) -> assign(new_constants, 1).
% 0.84/1.10      % set(auto2) -> assign(fold_denial_max, 3).
% 0.84/1.10      % set(auto2) -> assign(max_weight, "200.000").
% 0.84/1.10      % set(auto2) -> assign(max_hours, 1).
% 0.84/1.10      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.84/1.10      % set(auto2) -> assign(max_seconds, 0).
% 0.84/1.10      % set(auto2) -> assign(max_minutes, 5).
% 0.84/1.10      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.84/1.10      % set(auto2) -> set(sort_initial_sos).
% 0.84/1.10      % set(auto2) -> assign(sos_limit, -1).
% 0.84/1.10      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.84/1.10      % set(auto2) -> assign(max_megs, 400).
% 0.84/1.10      % set(auto2) -> assign(stats, some).
% 0.84/1.10      % set(auto2) -> clear(echo_input).
% 0.84/1.10      % set(auto2) -> set(quiet).
% 0.84/1.10      % set(auto2) -> clear(print_initial_clauses).
% 0.84/1.10      % set(auto2) -> clear(print_given).
% 0.84/1.10  assign(lrs_ticks,-1).
% 0.84/1.10  assign(sos_limit,10000).
% 0.84/1.10  assign(order,kbo).
% 0.84/1.10  set(lex_order_vars).
% 0.84/1.10  clear(print_given).
% 0.84/1.10  
% 0.84/1.10  % formulas(sos).  % not echoed (256 formulas)
% 0.84/1.10  
% 0.84/1.10  ============================== end of input ==========================
% 0.84/1.10  
% 0.84/1.10  % From the command line: assign(max_seconds, 300).
% 0.84/1.10  
% 0.84/1.10  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.84/1.10  
% 0.84/1.10  % Formulas that are not ordinary clauses:
% 0.84/1.10  
% 0.84/1.10  ============================== end of process non-clausal formulas ===
% 0.84/1.10  
% 0.84/1.10  ============================== PROCESS INITIAL CLAUSES ===============
% 0.84/1.10  
% 0.84/1.10  ============================== PREDICATE ELIMINATION =================
% 0.84/1.10  1 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].
% 0.84/1.10  2 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].
% 0.84/1.10  3 c_Type_Ois__refT(c_Type_Oty_ONT) # label(cls_is__refT__def_1) # label(axiom).  [assumption].
% 0.84/1.10  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(1,c,2,d)].
% 0.84/1.10  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(1,c,3,a)].
% 0.84/1.10  4 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].
% 0.84/1.10  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(4,c,2,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(4,c,3,a)].
% 0.84/1.13  5 c_Type_Ois__refT(c_Type_Oty_OClass(A)) # label(cls_is__refT__def_2) # 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_Type_Oty_OClass(F)).  [resolve(5,a,1,c)].
% 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_OClass(F)).  [resolve(5,a,4,c)].
% 0.84/1.13  6 A = B | -c_fequal(A,B,C) # label(cls_ATP__Linkup_Ofequal__imp__equal_0) # label(axiom).  [assumption].
% 0.84/1.13  7 c_fequal(A,A,B) # label(cls_ATP__Linkup_Oequal__imp__fequal_0) # label(axiom).  [assumption].
% 0.84/1.13  Derived: A = A.  [resolve(6,b,7,a)].
% 0.84/1.13  
% 0.84/1.13  ============================== end predicate elimination =============
% 0.84/1.13  
% 0.84/1.13  Auto_denials:  (non-Horn, no changes).
% 0.84/1.13  
% 0.84/1.13  Term ordering decisions:
% 0.84/1.13  Function symbol KB weights:  tc_String_Ochar=1. t_a=1. c_Type_Oty_ONT=1. c_Type_Oty_OVoid=1. c_Type_Oty_OBoolean=1. c_Type_Oty_OInteger=1. v_P=1. v_ha____=1. v_h_Ha____=1. tc_Value_Oval=1. v_e_Ha____=1. v_E____=1. v_ea____=1. tc_nat=1. v_U____=1. v_la____=1. v_e_092_060_094isub_0622____=1. v_D____=1. v_F____=1. v_T____=1. v_C____=1. v_T_092_060_094isub_0622____=1. tc_Type_Oty=1. v_C_H____=1. v_TF____=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__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_OFAss=1. v_sko__local__XFAssRed1__2__1=1. v_sko__local__XFAssRed1__Xhyps__2__1=1. v_sko__local__XIH__1=1. c_WellType_Osko__WellType__XWT__elim__cases__7__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__BwWZ__1=1.
% 0.84/1.13  
% 0.84/1.13  ============================== PROOF =================================
% 0.84/1.13  % SZS status Unsatisfiable
% 0.84/1.13  % SZS output start Refutation
% 0.84/1.13  
% 0.84/1.13  % Proof 1 at 0.08 (+ 0.01) seconds.
% 0.84/1.13  % Length of proof is 5.
% 0.84/1.13  % Level of proof is 2.
% 0.84/1.13  % Maximum clause weight is 6.000.
% 0.84/1.13  % Given clauses 0.
% 0.84/1.13  
% 0.84/1.13  328 v_U____ = c_Type_Oty_OClass(v_C_H____) # label(cls_UClass_0) # label(axiom).  [assumption].
% 0.84/1.13  329 c_Type_Oty_OClass(v_C_H____) = v_U____.  [copy(328),flip(a)].
% 0.84/1.13  342 c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____) # label(cls_wt_092_060_094isub_0621_H_0) # label(axiom).  [assumption].
% 0.84/1.13  362 -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].
% 0.84/1.13  363 $F.  [copy(362),rewrite([329(6)]),unit_del(a,342)].
% 0.84/1.13  
% 0.84/1.13  % SZS output end Refutation
% 0.84/1.13  ============================== end of proof ==========================
% 0.84/1.13  
% 0.84/1.13  ============================== STATISTICS ============================
% 0.84/1.13  
% 0.84/1.13  Given=0. Generated=249. Kept=221. proofs=1.
% 0.84/1.13  Usable=0. Sos=0. Demods=13. Limbo=221, Disabled=256. Hints=0.
% 0.84/1.13  Megabytes=0.73.
% 0.84/1.13  User_CPU=0.08, System_CPU=0.01, Wall_clock=0.
% 0.84/1.13  
% 0.84/1.13  ============================== end of statistics =====================
% 0.84/1.13  
% 0.84/1.13  ============================== end of search =========================
% 0.84/1.13  
% 0.84/1.13  THEOREM PROVED
% 0.84/1.13  % SZS status Unsatisfiable
% 0.84/1.13  
% 0.84/1.13  Exiting with 1 proof.
% 0.84/1.13  
% 0.84/1.13  Process 17681 exit (max_proofs) Thu Jun 16 06:45:23 2022
% 0.84/1.13  Prover9 interrupted
%------------------------------------------------------------------------------