TSTP Solution File: SWV957-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n019.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  : 300s
% DateTime : Tue Aug 22 11:06:00 EDT 2023

% Result   : Unsatisfiable 5.04s 2.23s
% Output   : CNFRefutation 5.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   73
% Syntax   : Number of formulae    :   78 (   8 unt;  70 typ;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  159 (  45   >; 114   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-6 aty)
%            Number of functors    :   57 (  57 usr;  25 con; 0-8 aty)
%            Number of variables   :    0 (;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ c_TypeRel_Osees__field > c_TypeRel_Ohas__field > c_WellTypeRT_OWTrt > c_Progress_OWTrt_H > c_WellType_OWT > c_TypeRel_Owiden > c_Map_Omap__le > c_fequal > c_TypeSafe__Mirabelle_Osconf > c_Decl_Ois__class > c_Objects_Ohext > hBOOL > c_Type_Ois__refT > v_sko__unknown__thm__BwWZ__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 > c_Type_Oty_Oty__rec > c_Type_Oty_Oty__case > c_WellType_Osko__WellType__XWT__elim__cases__7__1 > v_sko__local__XIH__1 > v_sko__local__XFAssRed1__Xhyps__2__1 > v_sko__local__XFAssRed1__2__1 > c_Expr_Oexp_OFAss > c_Type_Osko__Type__Xty__Xcase__cong__1__1 > c_Pair > c_Expr_Oexp_OFAcc > v_sko__Type__Xty__Xsplit__asm__1 > v_sko__Type__Xty__Xsplit__1 > c_Expr_Oexp_OSeq > c_Expr_Oexp_OCast > tc_prod > tc_fun > hAPP > c_Expr_Oexp_Onew > c_COMBI > #nlpp > v_sko__Value__Xdefault__val__Xinduct__1 > v_sko__Type__Xty__Xinducts__1 > v_sko__Type__Xty__Xinduct__1 > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_Type_Oty_OClass > c_Type_Osko__Type__Xty__Xnchotomy__1__1 > c_Type_Osko__Type__Xty__Xexhaust__1__1 > v_la____ > v_ha____ > v_h_Ha____ > v_ea____ > v_e_Ha____ > v_e_092_060_094isub_0622____ > v_U____ > v_T____ > v_T_092_060_094isub_0622____ > v_TF____ > v_P > v_F____ > v_E____ > v_D____ > v_C____ > v_C_H____ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Type_Oty_OVoid > c_Type_Oty_ONT > c_Type_Oty_OInteger > c_Type_Oty_OBoolean

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(tc_Type_Oty,type,
    tc_Type_Oty: $i ).

tff(c_Type_Oty_OClass,type,
    c_Type_Oty_OClass: $i > $i ).

tff(v_sko__local__XFAssRed1__Xhyps__2__1,type,
    v_sko__local__XFAssRed1__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(tc_Expr_Oexp,type,
    tc_Expr_Oexp: $i > $i ).

tff(c_Type_Oty_OInteger,type,
    c_Type_Oty_OInteger: $i ).

tff(v_C____,type,
    v_C____: $i ).

tff(v_sko__unknown__thm__BwWZ__1,type,
    v_sko__unknown__thm__BwWZ__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_Type_Osko__Type__Xty__Xnchotomy__1__1,type,
    c_Type_Osko__Type__Xty__Xnchotomy__1__1: $i > $i ).

tff(v_D____,type,
    v_D____: $i ).

tff(v_P,type,
    v_P: $i ).

tff(c_TypeRel_Osees__field,type,
    c_TypeRel_Osees__field: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(v_ha____,type,
    v_ha____: $i ).

tff(t_a,type,
    t_a: $i ).

tff(v_TF____,type,
    v_TF____: $i ).

tff(c_TypeRel_Owiden,type,
    c_TypeRel_Owiden: ( $i * $i * $i * $i ) > $o ).

tff(v_sko__Value__Xdefault__val__Xinduct__1,type,
    v_sko__Value__Xdefault__val__Xinduct__1: $i > $i ).

tff(tc_Option_Ooption,type,
    tc_Option_Ooption: $i > $i ).

tff(c_Type_Oty_ONT,type,
    c_Type_Oty_ONT: $i ).

tff(tc_prod,type,
    tc_prod: ( $i * $i ) > $i ).

tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_TypeRel_Ohas__field,type,
    c_TypeRel_Ohas__field: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(v_e_092_060_094isub_0622____,type,
    v_e_092_060_094isub_0622____: $i ).

tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(v_sko__Type__Xty__Xsplit__asm__1,type,
    v_sko__Type__Xty__Xsplit__asm__1: ( $i * $i * $i ) > $i ).

tff(tc_List_Olist,type,
    tc_List_Olist: $i > $i ).

tff(v_e_Ha____,type,
    v_e_Ha____: $i ).

tff(c_WellType_OWT,type,
    c_WellType_OWT: ( $i * $i * $i * $i ) > $o ).

tff(v_T_092_060_094isub_0622____,type,
    v_T_092_060_094isub_0622____: $i ).

tff(tc_nat,type,
    tc_nat: $i ).

tff(c_Expr_Oexp_OFAss,type,
    c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_COMBI,type,
    c_COMBI: ( $i * $i ) > $i ).

tff(tc_fun,type,
    tc_fun: ( $i * $i ) > $i ).

tff(c_Type_Oty_Oty__rec,type,
    c_Type_Oty_Oty__rec: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(v_sko__local__XFAssRed1__2__1,type,
    v_sko__local__XFAssRed1__2__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_Expr_Oexp_OFAcc,type,
    c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).

tff(v_U____,type,
    v_U____: $i ).

tff(c_Expr_Oexp_Onew,type,
    c_Expr_Oexp_Onew: ( $i * $i ) > $i ).

tff(c_Type_Osko__Type__Xty__Xexhaust__1__1,type,
    c_Type_Osko__Type__Xty__Xexhaust__1__1: $i > $i ).

tff(c_fequal,type,
    c_fequal: ( $i * $i * $i ) > $o ).

tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_WellType_Osko__WellType__XWT__elim__cases__7__1,type,
    c_WellType_Osko__WellType__XWT__elim__cases__7__1: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_Type_Oty_OBoolean,type,
    c_Type_Oty_OBoolean: $i ).

tff(v_C_H____,type,
    v_C_H____: $i ).

tff(c_Map_Omap__le,type,
    c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).

tff(c_Type_Osko__Type__Xty__Xcase__cong__1__1,type,
    c_Type_Osko__Type__Xty__Xcase__cong__1__1: ( $i * $i * $i * $i ) > $i ).

tff(hAPP,type,
    hAPP: ( $i * $i ) > $i ).

tff(v_h_Ha____,type,
    v_h_Ha____: $i ).

tff(v_F____,type,
    v_F____: $i ).

tff(c_Expr_Oexp_OSeq,type,
    c_Expr_Oexp_OSeq: ( $i * $i * $i ) > $i ).

tff(c_Expr_Oexp_OCast,type,
    c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).

tff(v_ea____,type,
    v_ea____: $i ).

tff(c_Type_Ois__refT,type,
    c_Type_Ois__refT: $i > $o ).

tff(c_Pair,type,
    c_Pair: ( $i * $i * $i * $i ) > $i ).

tff(v_sko__Type__Xty__Xsplit__1,type,
    v_sko__Type__Xty__Xsplit__1: ( $i * $i * $i ) > $i ).

tff(hBOOL,type,
    hBOOL: $i > $o ).

tff(c_Objects_Ohext,type,
    c_Objects_Ohext: ( $i * $i ) > $o ).

tff(v_sko__local__XIH__1,type,
    v_sko__local__XIH__1: ( $i * $i * $i * $i * $i ) > $i ).

tff(c_Type_Oty_OVoid,type,
    c_Type_Oty_OVoid: $i ).

tff(c_WellTypeRT_OWTrt,type,
    c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o ).

tff(v_T____,type,
    v_T____: $i ).

tff(tc_String_Ochar,type,
    tc_String_Ochar: $i ).

tff(v_E____,type,
    v_E____: $i ).

tff(v_sko__Type__Xty__Xinducts__1,type,
    v_sko__Type__Xty__Xinducts__1: $i > $i ).

tff(c_Progress_OWTrt_H,type,
    c_Progress_OWTrt_H: ( $i * $i * $i * $i * $i ) > $o ).

tff(tc_Value_Oval,type,
    tc_Value_Oval: $i ).

tff(v_la____,type,
    v_la____: $i ).

tff(c_Type_Oty_Oty__case,type,
    c_Type_Oty_Oty__case: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(c_TypeSafe__Mirabelle_Osconf,type,
    c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).

tff(v_sko__Type__Xty__Xinduct__1,type,
    v_sko__Type__Xty__Xinduct__1: $i > $i ).

tff(c_Decl_Ois__class,type,
    c_Decl_Ois__class: ( $i * $i * $i ) > $o ).

tff(f_1979,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file(unknown,unknown) ).

tff(f_1978,axiom,
    v_U____ = c_Type_Oty_OClass(v_C_H____),
    file(unknown,unknown) ).

tff(f_1981,axiom,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
    file(unknown,unknown) ).

tff(c_506,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(cnfTransformation,[status(thm)],[f_1979]) ).

tff(c_504,plain,
    c_Type_Oty_OClass(v_C_H____) = v_U____,
    inference(cnfTransformation,[status(thm)],[f_1978]) ).

tff(c_508,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_OClass(v_C_H____)),
    inference(cnfTransformation,[status(thm)],[f_1981]) ).

tff(c_513,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(demodulation,[status(thm),theory(equality)],[c_504,c_508]) ).

tff(c_515,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_506,c_513]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 23:19:01 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 5.04/2.23  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.04/2.23  
% 5.04/2.23  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.04/2.26  
% 5.04/2.26  Inference rules
% 5.04/2.26  ----------------------
% 5.04/2.26  #Ref     : 0
% 5.04/2.26  #Sup     : 0
% 5.04/2.26  #Fact    : 0
% 5.04/2.26  #Define  : 0
% 5.04/2.26  #Split   : 0
% 5.04/2.26  #Chain   : 0
% 5.04/2.26  #Close   : 0
% 5.04/2.26  
% 5.04/2.26  Ordering : KBO
% 5.04/2.26  
% 5.04/2.26  Simplification rules
% 5.04/2.26  ----------------------
% 5.04/2.26  #Subsume      : 255
% 5.04/2.26  #Demod        : 2
% 5.04/2.26  #Tautology    : 0
% 5.04/2.26  #SimpNegUnit  : 0
% 5.04/2.26  #BackRed      : 0
% 5.04/2.26  
% 5.04/2.26  #Partial instantiations: 0
% 5.04/2.26  #Strategies tried      : 1
% 5.04/2.26  
% 5.04/2.26  Timing (in seconds)
% 5.04/2.26  ----------------------
% 5.04/2.26  Preprocessing        : 1.09
% 5.04/2.26  Parsing              : 0.60
% 5.04/2.26  CNF conversion       : 0.09
% 5.04/2.26  Main loop            : 0.08
% 5.04/2.26  Inferencing          : 0.00
% 5.04/2.26  Reduction            : 0.04
% 5.04/2.26  Demodulation         : 0.03
% 5.04/2.26  BG Simplification    : 0.09
% 5.04/2.26  Subsumption          : 0.04
% 5.04/2.26  Abstraction          : 0.02
% 5.04/2.26  MUC search           : 0.00
% 5.04/2.26  Cooper               : 0.00
% 5.04/2.27  Total                : 1.22
% 5.04/2.27  Index Insertion      : 0.00
% 5.04/2.27  Index Deletion       : 0.00
% 5.04/2.27  Index Matching       : 0.00
% 5.04/2.27  BG Taut test         : 0.00
%------------------------------------------------------------------------------