%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV962-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.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 : Wed Apr 9 09:31:58 PM UTC 2025
% Result : Unsatisfiable 13.45s 4.13s
% Output : CNFRefutation 13.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-6 aty)
% Number of functors : 52 ( 52 usr; 20 con; 0-21 aty)
% Number of variables : 25 ( 25 !; 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_BigStep_Oeval > c_WellType_OWT > c_Map_Omap__le > c_DefAss_O_092_060D_062 > c_Objects_Ohext > c_BigStep_Ofinal > hBOOL > c_Expr_Oexp_Oexp__rec__1 > c_Expr_Oexp_Oexp__case > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4 > 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 > hAPP > c_TypeRel_Owiden > c_Option_Ooption_OSome > c_Objects_Otypeof__h > c_Expr_Oexp_Othrow > c_Expr_Oexp_Onew > c_Expr_Oexp_OVar > c_Expr_Oexp_OVal > c_COMBI > #nlpp > tc_List_Olist > tc_Expr_Oexp > c_fequal > c_Type_Oty_OClass > v_v____ > v_ha____ > v_h_Ha____ > v_e_092_060_094isub_0622____ > v_e_092_060_094isub_0622_H____ > v_T____ > v_T_092_060_094isub_0622____ > v_T_092_060_094isub_0622_H____ > v_TF____ > v_P > v_F____ > v_E____ > v_D____ > v_C____ > tc_Type_Oty > tc_String_Ochar > t_a > c_Type_Oty_OVoid > 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_Objects_Otypeof__h,type,
c_Objects_Otypeof__h: ( $i * $i ) > $i ).
tff(v_C____,type,
v_C____: $i ).
tff(c_fequal,type,
c_fequal: $i > $i ).
tff(c_BigStep_Ofinal,type,
c_BigStep_Ofinal: ( $i * $i ) > $o ).
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_Option_Ooption_OSome,type,
c_Option_Ooption_OSome: ( $i * $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(v_e_092_060_094isub_0622_H____,type,
v_e_092_060_094isub_0622_H____: $i ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4: ( $i * $i * $i * $i ) > $i ).
tff(v_TF____,type,
v_TF____: $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(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_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3: ( $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_Expr_Oexp_OBlock,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(c_BigStep_Oeval,type,
c_BigStep_Oeval: ( $i * $i * $i * $i * $i ) > $o ).
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(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(v_T_092_060_094isub_0622_H____,type,
v_T_092_060_094isub_0622_H____: $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(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_v____,type,
v_v____: $i ).
tff(c_Expr_Oexp_Onew,type,
c_Expr_Oexp_Onew: ( $i * $i ) > $i ).
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_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(c_Expr_Oexp_OCast,type,
c_Expr_Oexp_OCast: ( $i * $i * $i ) > $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(c_Objects_Ohext,type,
c_Objects_Ohext: ( $i * $i ) > $o ).
tff(c_TypeRel_Owiden,type,
c_TypeRel_Owiden: ( $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(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(f_1610,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
file(unknown,unknown) ).
tff(f_1601,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_1568,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file(unknown,unknown) ).
tff(f_1564,axiom,
! [V_F,V_e,V_v,V_T,V_P,V_D,V_h,V_E] :
( ( V_T = c_Type_Oty_OVoid )
| ( V_T = c_Type_Oty_OVoid )
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_1616,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_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),V_x) ),
file(unknown,unknown) ).
tff(c_808,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(cnfTransformation,[status(thm)],[f_1610]) ).
tff(c_804,plain,
! [V_P_2645,T_a_2646,V_T_2647] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_2645,T_a_2646),V_T_2647),V_T_2647)),
inference(cnfTransformation,[status(thm)],[f_1601]) ).
tff(c_788,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(cnfTransformation,[status(thm)],[f_1568]) ).
tff(c_780,plain,
! [V_v_2588,V_e_2587,V_T_2589,V_F_2586,V_E_2593,V_D_2591,V_h_2592,V_P_2590] :
( ~ c_WellTypeRT_OWTrt(V_P_2590,V_h_2592,V_E_2593,c_Expr_Oexp_OFAss(V_e_2587,V_F_2586,V_D_2591,V_v_2588,tc_List_Olist(tc_String_Ochar)),V_T_2589)
| ( c_Type_Oty_OVoid = V_T_2589 ) ),
inference(cnfTransformation,[status(thm)],[f_1564]) ).
tff(c_1285,plain,
v_T____ = c_Type_Oty_OVoid,
inference(resolution,[status(thm)],[c_788,c_780]) ).
tff(c_810,plain,
! [V_x_2653] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),V_x_2653)
| ~ 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_2653),v_T____)) ),
inference(cnfTransformation,[status(thm)],[f_1616]) ).
tff(c_3598,plain,
! [V_x_4563] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),V_x_4563)
| ~ 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_4563),c_Type_Oty_OVoid)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1285,c_810]) ).
tff(c_3602,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_F____,v_D____,v_e_092_060_094isub_0622_H____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(resolution,[status(thm)],[c_804,c_3598]) ).
tff(c_3606,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_808,c_3602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV962-1 : TPTP v9.0.0. Released v4.1.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 05:02:32 EDT 2025
% 0.12/0.34 % CPUTime :
% 13.45/4.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.45/4.13
% 13.45/4.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------