TSTP Solution File: SWV943-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWV943-1 : 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/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 : n017.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 11:05:59 EDT 2023
% Result : Unsatisfiable 13.93s 4.20s
% Output : CNFRefutation 14.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 71
% Syntax : Number of formulae : 105 ( 26 unt; 62 typ; 0 def)
% Number of atoms : 68 ( 36 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 176 ( 43 >; 133 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-5 aty)
% Number of functors : 51 ( 51 usr; 19 con; 0-21 aty)
% Number of variables : 66 (; 66 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ 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__local__XIH__1 > v_sko__local__XBinOpRed1__Xhyps__2__1 > v_sko__local__XBinOpRed1__2__1 > c_Expr_Oexp_OTryCatch > c_Expr_Oexp_OFAss > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__9__2 > 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_COMBI > #nlpp > tc_Option_Ooption > tc_List_Olist > tc_Expr_Oexp > c_fequal > v_la____ > v_ha____ > v_h_Ha____ > v_e_092_060_094isub_0622____ > v_e_092_060_094isub_0621____ > v_e_092_060_094isub_0621_H____ > v_bop____ > v_T____ > v_P > v_E____ > tc_nat > tc_Value_Oval > tc_Type_Oty > tc_String_Ochar > t_a > c_Type_Oty_OInteger > c_Type_Oty_OBoolean > c_Expr_Obop_OEq > c_Expr_Obop_OAdd
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(tc_Type_Oty,type,
tc_Type_Oty: $i ).
tff(tc_Expr_Oexp,type,
tc_Expr_Oexp: $i > $i ).
tff(c_Type_Oty_OInteger,type,
c_Type_Oty_OInteger: $i ).
tff(c_fequal,type,
c_fequal: $i > $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(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_sko__local__XBinOpRed1__2__1,type,
v_sko__local__XBinOpRed1__2__1: ( $i * $i * $i * $i * $i ) > $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(v_sko__local__XBinOpRed1__Xhyps__2__1,type,
v_sko__local__XBinOpRed1__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(tc_Option_Ooption,type,
tc_Option_Ooption: $i > $i ).
tff(tc_prod,type,
tc_prod: ( $i * $i ) > $i ).
tff(v_e_092_060_094isub_0622____,type,
v_e_092_060_094isub_0622____: $i ).
tff(v_e_092_060_094isub_0621_H____,type,
v_e_092_060_094isub_0621_H____: $i ).
tff(c_Expr_Oexp_OBlock,type,
c_Expr_Oexp_OBlock: ( $i * $i * $i * $i ) > $i ).
tff(c_Expr_Obop_OAdd,type,
c_Expr_Obop_OAdd: $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(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_e_092_060_094isub_0621____,type,
v_e_092_060_094isub_0621____: $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_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__9__2,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__9__2: ( $i * $i * $i * $i ) > $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(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(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(v_bop____,type,
v_bop____: $i ).
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_Expr_Obop_OEq,type,
c_Expr_Obop_OEq: $i ).
tff(c_TypeSafe__Mirabelle_Osconf,type,
c_TypeSafe__Mirabelle_Osconf: ( $i * $i * $i ) > $o ).
tff(f_613,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
file(unknown,unknown) ).
tff(f_773,axiom,
c_Expr_Obop_OAdd != c_Expr_Obop_OEq,
file(unknown,unknown) ).
tff(f_1592,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file(unknown,unknown) ).
tff(f_1567,axiom,
! [V_e_092_060_094isub_0622,V_T,V_e_092_060_094isub_0621,V_P,V_h,V_bop,V_E] :
( ( V_T = c_Type_Oty_OInteger )
| ( V_T = c_Type_Oty_OBoolean )
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_1461,axiom,
! [V_e_092_060_094isub_0622,V_T,V_e_092_060_094isub_0621,V_P,V_h,V_bop,V_E] :
( ( V_bop = c_Expr_Obop_OAdd )
| ( V_bop = c_Expr_Obop_OEq )
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_1493,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_1598,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_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x) ),
file(unknown,unknown) ).
tff(f_1188,axiom,
! [V_e_092_060_094isub_0622,V_T,V_e_092_060_094isub_0621,V_P,V_h,V_bop,V_E] :
( ( V_bop = c_Expr_Obop_OAdd )
| ( V_T = c_Type_Oty_OBoolean )
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(f_1359,axiom,
! [V_e_092_060_094isub_0622,V_T,V_e_092_060_094isub_0621,V_P,V_h,V_bop,V_E] :
( ( V_T = c_Type_Oty_OInteger )
| ( V_bop = c_Expr_Obop_OEq )
| ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621,V_bop,V_e_092_060_094isub_0622,tc_List_Olist(tc_String_Ochar)),V_T) ),
file(unknown,unknown) ).
tff(c_312,plain,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_400,plain,
c_Expr_Obop_OEq != c_Expr_Obop_OAdd,
inference(cnfTransformation,[status(thm)],[f_773]) ).
tff(c_760,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(cnfTransformation,[status(thm)],[f_1592]) ).
tff(c_1168,plain,
! [V_h_3544,V_e_092_060_094isub_0622_3548,V_E_3550,V_bop_3545,V_T_3546,V_e_092_060_094isub_0621_3549,V_P_3547] :
( ~ c_WellTypeRT_OWTrt(V_P_3547,V_h_3544,V_E_3550,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621_3549,V_bop_3545,V_e_092_060_094isub_0622_3548,tc_List_Olist(tc_String_Ochar)),V_T_3546)
| ( c_Type_Oty_OBoolean = V_T_3546 )
| ( c_Type_Oty_OInteger = V_T_3546 ) ),
inference(cnfTransformation,[status(thm)],[f_1567]) ).
tff(c_1184,plain,
( ( v_T____ = c_Type_Oty_OBoolean )
| ( v_T____ = c_Type_Oty_OInteger ) ),
inference(resolution,[status(thm)],[c_760,c_1168]) ).
tff(c_1187,plain,
v_T____ = c_Type_Oty_OInteger,
inference(splitLeft,[status(thm)],[c_1184]) ).
tff(c_1190,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OInteger),
inference(demodulation,[status(thm),theory(equality)],[c_1187,c_760]) ).
tff(c_712,plain,
! [V_E_2429,V_T_2424,V_e_092_060_094isub_0622_2423,V_h_2427,V_bop_2428,V_e_092_060_094isub_0621_2425,V_P_2426] :
( ~ c_WellTypeRT_OWTrt(V_P_2426,V_h_2427,V_E_2429,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621_2425,V_bop_2428,V_e_092_060_094isub_0622_2423,tc_List_Olist(tc_String_Ochar)),V_T_2424)
| ( c_Expr_Obop_OEq = V_bop_2428 )
| ( c_Expr_Obop_OAdd = V_bop_2428 ) ),
inference(cnfTransformation,[status(thm)],[f_1461]) ).
tff(c_1218,plain,
( ( v_bop____ = c_Expr_Obop_OEq )
| ( v_bop____ = c_Expr_Obop_OAdd ) ),
inference(resolution,[status(thm)],[c_1190,c_712]) ).
tff(c_1224,plain,
v_bop____ = c_Expr_Obop_OAdd,
inference(splitLeft,[status(thm)],[c_1218]) ).
tff(c_1225,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OAdd,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OInteger),
inference(demodulation,[status(thm),theory(equality)],[c_1224,c_1190]) ).
tff(c_724,plain,
! [V_P_2461,T_a_2462,V_T_2463] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P_2461,T_a_2462),V_T_2463),V_T_2463)),
inference(cnfTransformation,[status(thm)],[f_1493]) ).
tff(c_762,plain,
! [V_x_2554] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x_2554)
| ~ 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_2554),v_T____)) ),
inference(cnfTransformation,[status(thm)],[f_1598]) ).
tff(c_4066,plain,
! [V_x_4042] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OAdd,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x_4042)
| ~ 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_4042),c_Type_Oty_OInteger)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1187,c_1224,c_762]) ).
tff(c_4070,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OAdd,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OInteger),
inference(resolution,[status(thm)],[c_724,c_4066]) ).
tff(c_4074,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1225,c_4070]) ).
tff(c_4075,plain,
v_bop____ = c_Expr_Obop_OEq,
inference(splitRight,[status(thm)],[c_1218]) ).
tff(c_4077,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OEq,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OInteger),
inference(demodulation,[status(thm),theory(equality)],[c_4075,c_1190]) ).
tff(c_4138,plain,
! [V_h_4050,V_T_4052,V_bop_4051,V_P_4054,V_E_4053,V_e_092_060_094isub_0622_4055,V_e_092_060_094isub_0621_4049] :
( ~ c_WellTypeRT_OWTrt(V_P_4054,V_h_4050,V_E_4053,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621_4049,V_bop_4051,V_e_092_060_094isub_0622_4055,tc_List_Olist(tc_String_Ochar)),V_T_4052)
| ( c_Type_Oty_OBoolean = V_T_4052 )
| ( c_Expr_Obop_OAdd = V_bop_4051 ) ),
inference(cnfTransformation,[status(thm)],[f_1188]) ).
tff(c_4141,plain,
( ( c_Type_Oty_OInteger = c_Type_Oty_OBoolean )
| ( c_Expr_Obop_OEq = c_Expr_Obop_OAdd ) ),
inference(resolution,[status(thm)],[c_4077,c_4138]) ).
tff(c_4156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_400,c_312,c_4141]) ).
tff(c_4157,plain,
v_T____ = c_Type_Oty_OBoolean,
inference(splitRight,[status(thm)],[c_1184]) ).
tff(c_4161,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,v_bop____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean),
inference(demodulation,[status(thm),theory(equality)],[c_4157,c_760]) ).
tff(c_4190,plain,
( ( v_bop____ = c_Expr_Obop_OEq )
| ( v_bop____ = c_Expr_Obop_OAdd ) ),
inference(resolution,[status(thm)],[c_4161,c_712]) ).
tff(c_4197,plain,
v_bop____ = c_Expr_Obop_OAdd,
inference(splitLeft,[status(thm)],[c_4190]) ).
tff(c_4198,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OAdd,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean),
inference(demodulation,[status(thm),theory(equality)],[c_4197,c_4161]) ).
tff(c_4333,plain,
! [V_T_4081,V_E_4084,V_h_4083,V_e_092_060_094isub_0621_4082,V_bop_4085,V_e_092_060_094isub_0622_4080,V_P_4086] :
( ~ c_WellTypeRT_OWTrt(V_P_4086,V_h_4083,V_E_4084,c_Expr_Oexp_OBinOp(V_e_092_060_094isub_0621_4082,V_bop_4085,V_e_092_060_094isub_0622_4080,tc_List_Olist(tc_String_Ochar)),V_T_4081)
| ( c_Expr_Obop_OEq = V_bop_4085 )
| ( c_Type_Oty_OInteger = V_T_4081 ) ),
inference(cnfTransformation,[status(thm)],[f_1359]) ).
tff(c_4342,plain,
( ( c_Expr_Obop_OEq = c_Expr_Obop_OAdd )
| ( c_Type_Oty_OInteger = c_Type_Oty_OBoolean ) ),
inference(resolution,[status(thm)],[c_4198,c_4333]) ).
tff(c_4363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_312,c_400,c_4342]) ).
tff(c_4364,plain,
v_bop____ = c_Expr_Obop_OEq,
inference(splitRight,[status(thm)],[c_4190]) ).
tff(c_4366,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OEq,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean),
inference(demodulation,[status(thm),theory(equality)],[c_4364,c_4161]) ).
tff(c_6750,plain,
! [V_x_4618] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OEq,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),V_x_4618)
| ~ 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_4618),c_Type_Oty_OBoolean)) ),
inference(demodulation,[status(thm),theory(equality)],[c_4157,c_4364,c_762]) ).
tff(c_6754,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OBinOp(v_e_092_060_094isub_0621_H____,c_Expr_Obop_OEq,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OBoolean),
inference(resolution,[status(thm)],[c_724,c_6750]) ).
tff(c_6758,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4366,c_6754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV943-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 22:28:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 13.93/4.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.93/4.21
% 13.93/4.21 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 14.15/4.24
% 14.15/4.24 Inference rules
% 14.15/4.24 ----------------------
% 14.15/4.24 #Ref : 37
% 14.15/4.24 #Sup : 1228
% 14.15/4.24 #Fact : 0
% 14.15/4.24 #Define : 0
% 14.15/4.24 #Split : 4
% 14.15/4.24 #Chain : 0
% 14.15/4.24 #Close : 0
% 14.15/4.24
% 14.15/4.24 Ordering : KBO
% 14.15/4.24
% 14.15/4.24 Simplification rules
% 14.15/4.24 ----------------------
% 14.15/4.24 #Subsume : 220
% 14.15/4.24 #Demod : 145
% 14.15/4.24 #Tautology : 493
% 14.15/4.24 #SimpNegUnit : 324
% 14.15/4.24 #BackRed : 16
% 14.15/4.24
% 14.15/4.24 #Partial instantiations: 0
% 14.15/4.24 #Strategies tried : 1
% 14.15/4.24
% 14.15/4.24 Timing (in seconds)
% 14.15/4.24 ----------------------
% 14.15/4.24 Preprocessing : 1.18
% 14.15/4.24 Parsing : 0.63
% 14.15/4.24 CNF conversion : 0.11
% 14.15/4.24 Main loop : 2.02
% 14.15/4.25 Inferencing : 0.60
% 14.15/4.25 Reduction : 0.72
% 14.15/4.25 Demodulation : 0.44
% 14.15/4.25 BG Simplification : 0.11
% 14.15/4.25 Subsumption : 0.46
% 14.15/4.25 Abstraction : 0.05
% 14.15/4.25 MUC search : 0.00
% 14.15/4.25 Cooper : 0.00
% 14.15/4.25 Total : 3.24
% 14.15/4.25 Index Insertion : 0.00
% 14.15/4.25 Index Deletion : 0.00
% 14.15/4.25 Index Matching : 0.00
% 14.15/4.25 BG Taut test : 0.00
%------------------------------------------------------------------------------