%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWV968-1 : 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 : n003.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 09:31:59 PM UTC 2025
% Result : Unsatisfiable 5.76s 2.18s
% Output : CNFRefutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-6 aty)
% Number of functors : 57 ( 57 usr; 22 con; 0-7 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ c_TypeRel_Osees__field > c_TypeRel_Ohas__field > c_WellTypeRT_OWTrt > c_Progress_OWTrts_H > 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__BwcM__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 > v_sko__local__XIH__1 > v_sko__local__XCallObj__Xhyps__2__1 > v_sko__local__XCallObj__2__1 > c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1 > c_Expr_Oexp_OFAss > c_Type_Osko__Type__Xty__Xcase__cong__1__1 > c_Pair > c_Expr_Oexp_OFAcc > c_Expr_Oexp_OCall > 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 > c_Type_Osko__Type__XrefTE__1__1 > c_Type_Osko__Type__Xis__refT__def__1__1 > v_la____ > v_ha____ > v_h_Ha____ > v_esa____ > v_ea____ > v_e_Ha____ > v_U____ > v_T____ > v_P > v_M____ > v_E____ > 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(tc_Expr_Oexp,type,
tc_Expr_Oexp: $i > $i ).
tff(c_Type_Oty_OInteger,type,
c_Type_Oty_OInteger: $i ).
tff(v_sko__local__XCallObj__Xhyps__2__1,type,
v_sko__local__XCallObj__Xhyps__2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(v_C____,type,
v_C____: $i ).
tff(c_Type_Osko__Type__Xty__Xnchotomy__1__1,type,
c_Type_Osko__Type__Xty__Xnchotomy__1__1: $i > $i ).
tff(v_P,type,
v_P: $i ).
tff(c_Type_Osko__Type__XrefTE__1__1,type,
c_Type_Osko__Type__XrefTE__1__1: $i > $i ).
tff(c_Expr_Oexp_OCall,type,
c_Expr_Oexp_OCall: ( $i * $i * $i * $i ) > $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(c_TypeRel_Owiden,type,
c_TypeRel_Owiden: ( $i * $i * $i * $i ) > $o ).
tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1: ( $i * $i * $i * $i * $i ) > $i ).
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(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_Progress_OWTrts_H,type,
c_Progress_OWTrts_H: ( $i * $i * $i * $i * $i ) > $o ).
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(c_Type_Osko__Type__Xis__refT__def__1__1,type,
c_Type_Osko__Type__Xis__refT__def__1__1: $i > $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(v_sko__unknown__thm__BwcM__1,type,
v_sko__unknown__thm__BwcM__1: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Type_Oty_Oty__rec,type,
c_Type_Oty_Oty__rec: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(c_Expr_Oexp_OFAcc,type,
c_Expr_Oexp_OFAcc: ( $i * $i * $i * $i ) > $i ).
tff(v_M____,type,
v_M____: $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_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_esa____,type,
v_esa____: $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__XCallObj__2__1,type,
v_sko__local__XCallObj__2__1: ( $i * $i * $i * $i * $i ) > $i ).
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_2041,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
file(unknown,unknown) ).
tff(f_2040,axiom,
v_U____ = c_Type_Oty_OClass(v_C_H____),
file(unknown,unknown) ).
tff(f_2043,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_528,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
inference(cnfTransformation,[status(thm)],[f_2041]) ).
tff(c_526,plain,
c_Type_Oty_OClass(v_C_H____) = v_U____,
inference(cnfTransformation,[status(thm)],[f_2040]) ).
tff(c_530,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_2043]) ).
tff(c_535,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
inference(demodulation,[status(thm),theory(equality)],[c_526,c_530]) ).
tff(c_537,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_528,c_535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV968-1 : TPTP v9.0.0. Released v4.1.0.
% 0.03/0.13 % 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
% 0.13/0.32 % Computer : n003.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Wed Apr 9 05:02:33 EDT 2025
% 0.13/0.32 % CPUTime :
% 5.76/2.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.76/2.19
% 5.76/2.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------