TSTP Solution File: SWV951-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV951-1 : 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 : n016.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 8.30s 3.07s
% Output : CNFRefutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 69
% Syntax : Number of formulae : 76 ( 7 unt; 65 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 196 ( 48 >; 148 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-6 aty)
% Number of functors : 53 ( 53 usr; 17 con; 0-21 aty)
% Number of variables : 22 (; 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_TypeRel_Ohas__field > c_WellTypeRT_OWTrt > c_SmallStep_Oredp > c_Progress_OWTrt_H > c_List_Olist__all2 > c_Conform_Oconf > c_WellType_OWT > c_Map_Omap__le > c_TypeSafe__Mirabelle_Osconf > c_DefAss_O_092_060D_062 > c_Objects_Ohext > hBOOL > c_Expr_Oexp_Oexp__rec__1 > c_Expr_Oexp_Oexp__case > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 > v_sko__unknown__thm__BwQa__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 > v_sko__local__XIH__1 > v_sko__local__XFAccRed__Xhyps__2__1 > v_sko__local__XFAccRed__2__1 > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_Pair > c_Expr_Oexp_OFAcc > c_Expr_Oexp_OCond > c_Expr_Oexp_OCall > c_Expr_Oexp_OBlock > c_Expr_Oexp_OBinOp > c_Expr_Oexp_OWhile > c_Expr_Oexp_OSeq > c_Expr_Oexp_OLAss > c_Expr_Oexp_OCast > tc_prod > tc_fun > hAPP > c_TypeRel_Owiden > c_Expr_Oexp_Othrow > c_Expr_Oexp_Onew > c_Expr_Oexp_OVar > c_Expr_Oexp_OVal > c_DefAss_O_092_060A_062 > c_COMBI > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_fequal > c_Type_Oty_OClass > c_Expr_Ofv > v_la____ > v_ha____ > v_h_Ha____ > v_ea____ > v_e_Ha____ > v_T____ > v_P > v_F____ > v_E____ > v_D____ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Type_Oty_ONT > 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(tc_Expr_Oexp,type,
tc_Expr_Oexp: $i > $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(v_D____,type,
v_D____: $i ).
tff(v_P,type,
v_P: $i ).
tff(c_Expr_Oexp_OTryCatch,type,
c_Expr_Oexp_OTryCatch: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OCall,type,
c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OVar,type,
c_Expr_Oexp_OVar: ( $i * $i ) > $i ).
tff(c_DefAss_O_092_060A_062,type,
c_DefAss_O_092_060A_062: ( $i * $i ) > $i ).
tff(c_Expr_Ofv,type,
c_Expr_Ofv: $i > $i ).
tff(v_ha____,type,
v_ha____: $i ).
tff(c_Expr_Oexp_Oexp__rec__1,type,
c_Expr_Oexp_Oexp__rec__1: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(t_a,type,
t_a: $i ).
tff(c_SmallStep_Oredp,type,
c_SmallStep_Oredp: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OCond,type,
c_Expr_Oexp_OCond: ( $i * $i * $i * $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_TypeRel_Ohas__field,type,
c_TypeRel_Ohas__field: ( $i * $i * $i * $i * $i * $i ) > $o ).
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(c_Expr_Oexp_OBlock,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Oexp__case,type,
c_Expr_Oexp_Oexp__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Othrow,type,
c_Expr_Oexp_Othrow: ( $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(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_Expr_Oexp_OWhile,type,
c_Expr_Oexp_OWhile: ( $i * $i * $i ) > $i ).
tff(c_List_Olist__all2,type,
c_List_Olist__all2: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_Expr_Oexp_OFAcc,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(v_sko__local__XFAccRed__2__1,type,
v_sko__local__XFAccRed__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_Onew,type,
c_Expr_Oexp_Onew: ( $i * $i ) > $i ).
tff(c_Expr_Oexp_OVal,type,
c_Expr_Oexp_OVal: ( $i * $i ) > $i ).
tff(c_Type_Oty_OBoolean,type,
c_Type_Oty_OBoolean: $i ).
tff(c_Map_Omap__le,type,
c_Map_Omap__le: ( $i * $i * $i * $i ) > $o ).
tff(c_Expr_Oexp_OBinOp,type,
c_Expr_Oexp_OBinOp: ( $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(v_sko__unknown__thm__BwQa__1,type,
v_sko__unknown__thm__BwQa__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(v_sko__local__XFAccRed__Xhyps__2__1,type,
v_sko__local__XFAccRed__Xhyps__2__1: ( $i * $i * $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_Pair,type,
c_Pair: ( $i * $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_TypeRel_Owiden,type,
c_TypeRel_Owiden: ( $i * $i ) > $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(c_Conform_Oconf,type,
c_Conform_Oconf: ( $i * $i * $i * $i * $i ) > $o ).
tff(v_E____,type,
v_E____: $i ).
tff(c_Expr_Oexp_OLAss,type,
c_Expr_Oexp_OLAss: ( $i * $i * $i ) > $i ).
tff(c_Progress_OWTrt_H,type,
c_Progress_OWTrt_H: ( $i * $i * $i * $i * $i ) > $o ).
tff(c_DefAss_O_092_060D_062,type,
c_DefAss_O_092_060D_062: ( $i * $i * $i ) > $o ).
tff(tc_Value_Oval,type,
tc_Value_Oval: $i ).
tff(v_la____,type,
v_la____: $i ).
tff(c_TypeSafe__Mirabelle_Osconf,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(f_1433,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file(unknown,unknown) ).
tff(f_1205,axiom,
! [V_F,V_e,V_T,V_P,V_D,V_h,V_E] :
( c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAcc(V_e,V_F,V_D,tc_List_Olist(tc_String_Ochar)),V_T)
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT) ),
file(unknown,unknown) ).
tff(f_1317,axiom,
! [V_P,T_a,V_T] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
file(unknown,unknown) ).
tff(f_1439,axiom,
! [V_x] :
( ~ 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_x),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),V_x) ),
file(unknown,unknown) ).
tff(c_728,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(cnfTransformation,[status(thm)],[f_1433]) ).
tff(c_634,plain,
! [V_P_2157,V_F_2154,V_e_2155,V_h_2159,V_E_2160,V_T_2156,V_D_2158] :
( ~ c_WellTypeRT_OWTrt(V_P_2157,V_h_2159,V_E_2160,V_e_2155,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(V_P_2157,V_h_2159,V_E_2160,c_Expr_Oexp_OFAcc(V_e_2155,V_F_2154,V_D_2158,tc_List_Olist(tc_String_Ochar)),V_T_2156) ),
inference(cnfTransformation,[status(thm)],[f_1205]) ).
tff(c_686,plain,
! [V_P_2308,T_a_2309,V_T_2310] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_2308,T_a_2309),V_T_2310),V_T_2310)),
inference(cnfTransformation,[status(thm)],[f_1317]) ).
tff(c_1657,plain,
! [V_x_3757] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),V_x_3757)
| ~ 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_x_3757),v_T____)) ),
inference(cnfTransformation,[status(thm)],[f_1439]) ).
tff(c_1662,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(resolution,[status(thm)],[c_686,c_1657]) ).
tff(c_1665,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(resolution,[status(thm)],[c_634,c_1662]) ).
tff(c_1675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_728,c_1665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV951-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 23:29:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 8.30/3.07 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.30/3.08
% 8.30/3.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.78/3.11
% 8.78/3.11 Inference rules
% 8.78/3.11 ----------------------
% 8.78/3.11 #Ref : 38
% 8.78/3.11 #Sup : 154
% 8.78/3.11 #Fact : 0
% 8.78/3.11 #Define : 0
% 8.78/3.11 #Split : 0
% 8.78/3.11 #Chain : 0
% 8.78/3.11 #Close : 0
% 8.78/3.11
% 8.78/3.11 Ordering : KBO
% 8.78/3.11
% 8.78/3.11 Simplification rules
% 8.78/3.11 ----------------------
% 8.78/3.11 #Subsume : 128
% 8.78/3.11 #Demod : 8
% 8.78/3.11 #Tautology : 72
% 8.78/3.11 #SimpNegUnit : 0
% 8.78/3.11 #BackRed : 0
% 8.78/3.11
% 8.78/3.11 #Partial instantiations: 0
% 8.78/3.11 #Strategies tried : 1
% 8.78/3.11
% 8.78/3.11 Timing (in seconds)
% 8.78/3.11 ----------------------
% 8.78/3.11 Preprocessing : 1.11
% 8.78/3.11 Parsing : 0.61
% 8.78/3.11 CNF conversion : 0.10
% 8.78/3.11 Main loop : 0.92
% 8.78/3.11 Inferencing : 0.25
% 8.78/3.11 Reduction : 0.35
% 8.78/3.11 Demodulation : 0.23
% 8.78/3.11 BG Simplification : 0.08
% 8.78/3.11 Subsumption : 0.20
% 8.78/3.11 Abstraction : 0.03
% 8.78/3.11 MUC search : 0.00
% 8.78/3.11 Cooper : 0.00
% 8.78/3.11 Total : 2.08
% 8.78/3.11 Index Insertion : 0.00
% 8.78/3.11 Index Deletion : 0.00
% 8.78/3.11 Index Matching : 0.00
% 8.78/3.11 BG Taut test : 0.00
%------------------------------------------------------------------------------