%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:24:31 PM UTC 2026
% Result : Unsatisfiable 14.80s 2.87s
% Output : CNFRefutation 14.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f478ERROR: Could not build tree for root c_14929ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X5,X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X4,X2,X5,X0,X3,X1,X6)))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X5,X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
| c_TypeRel_Ohas__field(X0,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X4,X2,X5,X0,X3,X1,X6),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X4,X2,X5,X0,X3,X1,X6),X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).
fof(f382,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X5,X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X4,X2,X5,X0,X3,X1,X6)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X4,X2,X5,X0,X3,X1,X6)))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_13) ).
fof(f418,axiom,
! [X2,X0,X1] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
fof(f423,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X6,X5,X4,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X6,X0,X3,X1,X4))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_10) ).
fof(f452,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f454,axiom,
! [X2,X0,X1] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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)))),X0),X1))
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f455,axiom,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| 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_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_02) ).
fof(f456,axiom,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f457,negated_conjecture,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X0)
| ~ 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)))),X0),v_T____)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X2,X4,X0,X3,X1,X6)))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| c_TypeRel_Ohas__field(X0,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X2,X4,X0,X3,X1,X6),X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X2,X4,X0,X3,X1,X6),X5,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X7 = v_T____ )
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X4,X0,X3,X1,X6)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X2,X4,X0,X3,X1,X6)))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_784,plain,
! [X0: $i,X1: $i,X2: $i] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
inference(cnf_transformation,[],[f418]) ).
tcf(c_789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X0,X1,X2,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X4,X0,X3,X1,X6))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_812,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(cnf_transformation,[],[f452]) ).
tcf(c_814,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ 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)))),X0),X1)) ),
inference(cnf_transformation,[],[f454]) ).
tcf(c_815,plain,
( 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_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_816,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_817,negated_conjecture,
! [X0: $i] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X0)
| ~ 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)))),X0),v_T____)) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_5381,definition,
iPr_def_10 = tc_List_Olist(tc_String_Ochar),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5382,definition,
iPr_def_11 = tc_List_Olist(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5383,definition,
iPr_def_12 = tc_Expr_Oexp(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_5384,definition,
iPr_def_13 = tc_prod(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_5385,definition,
iPr_def_14 = c_TypeRel_Owiden(v_P,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_5386,definition,
iPr_def_15 = c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_5387,negated_conjecture,
! [X0: $i] :
( ~ hBOOL(hAPP(hAPP(iPr_def_14,X0),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,X0) ),
inference(demodulation,[status(thm)],[c_817,c_5386,c_5383,c_5381,c_5382,c_5384,c_5385]) ).
tcf(c_8411,plain,
! [X0: $i] : hBOOL(hAPP(hAPP(iPr_def_14,X0),X0)),
inference(superposition,[status(thm)],[c_5385,c_784]) ).
tcf(c_8413,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_T____),
inference(superposition,[status(thm)],[c_8411,c_5387]) ).
tcf(c_8495,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,iPr_def_10),v_T____),
inference(light_normalisation,[status(thm)],[c_812,c_5381]) ).
tcf(c_8760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X7 = v_T____ )
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,iPr_def_10),X7) ),
inference(light_normalisation,[status(thm)],[c_753,c_5381]) ).
tcf(c_8768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = v_T____ )
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,iPr_def_15,X3) ),
inference(superposition,[status(thm)],[c_5386,c_8760]) ).
tcf(c_9371,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(light_normalisation,[status(thm)],[c_816,c_5381,c_5386]) ).
tcf(c_9850,plain,
( hBOOL(hAPP(hAPP(iPr_def_14,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(light_normalisation,[status(thm)],[c_815,c_5381,c_5382,c_5383,c_5384,c_5385]) ).
tcf(c_9857,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
inference(superposition,[status(thm)],[c_9850,c_5387]) ).
tcf(c_9872,plain,
~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT),
inference(forward_subsumption_resolution,[status(thm)],[c_9857,c_9371]) ).
tcf(c_10361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X0,X1,X2,X6,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X4,X0,X3,X1,X6))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,iPr_def_10),X7) ),
inference(light_normalisation,[status(thm)],[c_789,c_5381]) ).
tcf(c_10372,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)) ),
inference(superposition,[status(thm)],[c_8495,c_10361]) ).
tcf(c_10380,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),
inference(forward_subsumption_resolution,[status(thm)],[c_10372,c_9872]) ).
tcf(c_10487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X2,X4,X0,X3,X1,X6)))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,iPr_def_10),X7) ),
inference(light_normalisation,[status(thm)],[c_435,c_5381]) ).
tcf(c_10498,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(superposition,[status(thm)],[c_8495,c_10487]) ).
tcf(c_10506,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))),
inference(forward_subsumption_resolution,[status(thm)],[c_10498,c_9872]) ).
tcf(c_11062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| c_TypeRel_Ohas__field(X0,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X5,X2,X4,X0,X3,X1,X6),X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X2,X4,X0,X3,X1,X6),X5,iPr_def_13)
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,iPr_def_10),X7) ),
inference(light_normalisation,[status(thm)],[c_440,c_5381,c_5382,c_5383,c_5384]) ).
tcf(c_11073,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,iPr_def_13) ),
inference(superposition,[status(thm)],[c_8495,c_11062]) ).
tcf(c_11082,plain,
c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_11073,c_9872]) ).
tcf(c_11482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,iPr_def_13),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X4,X0,X3,X1,X6)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X5,X2,X4,X0,X3,X1,X6)))
| ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X4,X5,X6,iPr_def_10),X7) ),
inference(light_normalisation,[status(thm)],[c_757,c_5381,c_5382,c_5383,c_5384]) ).
tcf(c_11493,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,iPr_def_13),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(superposition,[status(thm)],[c_8495,c_11482]) ).
tcf(c_11504,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| hBOOL(hAPP(hAPP(iPr_def_14,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(light_normalisation,[status(thm)],[c_11493,c_5385]) ).
tcf(c_11505,plain,
hBOOL(hAPP(hAPP(iPr_def_14,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))),
inference(forward_subsumption_resolution,[status(thm)],[c_11504,c_9872]) ).
tcf(c_14725,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X2)
| ~ hBOOL(hAPP(hAPP(iPr_def_14,X2),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X0))
| ~ c_TypeRel_Ohas__field(v_P,X0,v_F____,X1,v_D____,iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_814,c_5381,c_5382,c_5383,c_5384,c_5385,c_5386]) ).
tcf(c_14741,plain,
! [X0: $i] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ hBOOL(hAPP(hAPP(iPr_def_14,X0),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(superposition,[status(thm)],[c_11082,c_14725]) ).
tcf(c_14742,plain,
! [X0: $i] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ hBOOL(hAPP(hAPP(iPr_def_14,X0),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14741,c_10506]) ).
tcf(c_14923,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)) ),
inference(superposition,[status(thm)],[c_11505,c_14742]) ).
tcf(c_14924,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),
inference(forward_subsumption_resolution,[status(thm)],[c_14923,c_10380]) ).
tcf(c_14926,plain,
v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____) = v_T____,
inference(superposition,[status(thm)],[c_14924,c_8768]) ).
tcf(c_14927,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,iPr_def_15,v_T____),
inference(demodulation,[status(thm)],[c_14924,c_14926]) ).
tcf(c_14929,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14927,c_8413]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 21:24:20 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 14.80/2.87 % SZS status Started for theBenchmark.p
% 14.80/2.87 % SZS status Unsatisfiable for theBenchmark.p
% 14.80/2.87
% 14.80/2.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.80/2.87
% 14.80/2.87 % ------ iProver source info
% 14.80/2.87
% 14.80/2.87 % git: date: 2026-07-19 20:42:38 +0200
% 14.80/2.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.80/2.87 % git: non_committed_changes: false
% 14.80/2.87
% 14.80/2.87 % ------ Parsing...% successful
% 14.80/2.87
% 14.80/2.87
% 14.80/2.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.80/2.87
% 14.80/2.87 % ------ Preprocessing... sup_sim: 0 sf_s rm: 36 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 14.80/2.87
% 14.80/2.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.80/2.87
% 14.80/2.87 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.80/2.87 % ------ Proving...
% 14.80/2.87 % ------ Problem Properties
% 14.80/2.87
% 14.80/2.87 %
% 14.80/2.87 % clauses 239
% 14.80/2.87 % conjectures 1
% 14.80/2.87 % EPR 11
% 14.80/2.87 % Horn 227
% 14.80/2.87 % unary 155
% 14.80/2.87 % binary 55
% 14.80/2.87 % lits 374
% 14.80/2.87 % lits eq 227
% 14.80/2.87 % fd_pure 0
% 14.80/2.87 % fd_pseudo 0
% 14.80/2.87 % fd_cond 1
% 14.80/2.87 % fd_pseudo_cond 41
% 14.80/2.87 % AC symbols 0
% 14.80/2.87
% 14.80/2.87 % ------ Schedule dynamic 5 is on
% 14.80/2.87
% 14.80/2.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.80/2.87
% 14.80/2.87
% 14.80/2.87 % ------
% 14.80/2.87 % Current options:
% 14.80/2.87 % ------
% 14.80/2.87
% 14.80/2.87
% 14.80/2.87 %
% 14.80/2.87
% 14.80/2.87 % ------ Proving...
% 14.80/2.87 %
% 14.80/2.87
% 14.80/2.87 % SZS status Unsatisfiable for theBenchmark.p
% 14.80/2.87
% 14.80/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.80/2.87
% 14.80/2.87
%------------------------------------------------------------------------------