%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV954-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 : Sat Jun 21 05:36:23 AM UTC 2025
% Result : Unsatisfiable 0.49s 0.65s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV954-1 : TPTP v9.0.0. Released v4.1.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Jun 20 11:06:40 EDT 2025
% 0.15/0.37 % CPUTime :
% 0.49/0.65 % SZS status Unsatisfiable
% 0.49/0.65 % SZS output start Proof
% 0.49/0.65 tff(c_WellTypeRT_OWTrt_type, type, (
% 0.49/0.65 c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o)).
% 0.49/0.65 tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3_type, type, (
% 0.49/0.65 c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 0.49/0.65 tff(v_e_092_060_094isub_0622_____type, type, (
% 0.49/0.65 v_e_092_060_094isub_0622____: $i)).
% 0.49/0.65 tff(v_ha_____type, type, (
% 0.49/0.65 v_ha____: $i)).
% 0.49/0.65 tff(v_ea_____type, type, (
% 0.49/0.65 v_ea____: $i)).
% 0.49/0.65 tff(v_P_type, type, (
% 0.49/0.65 v_P: $i)).
% 0.49/0.65 tff(v_F_____type, type, (
% 0.49/0.65 v_F____: $i)).
% 0.49/0.65 tff(v_E_____type, type, (
% 0.49/0.65 v_E____: $i)).
% 0.49/0.65 tff(v_D_____type, type, (
% 0.49/0.65 v_D____: $i)).
% 0.49/0.65 tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4_type, type, (
% 0.49/0.65 c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4: ( $i * $i * $i * $i ) > $i)).
% 0.49/0.65 tff(v_thesis_____type, type, (
% 0.49/0.65 v_thesis____: $o)).
% 0.49/0.65 tff(c_Type_Oty_OVoid_type, type, (
% 0.49/0.65 c_Type_Oty_OVoid: $i)).
% 0.49/0.65 tff(c_Expr_Oexp_OFAss_type, type, (
% 0.49/0.65 c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i)).
% 0.49/0.65 tff(tc_List_Olist_type, type, (
% 0.49/0.65 tc_List_Olist: $i > $i)).
% 0.49/0.65 tff(tc_String_Ochar_type, type, (
% 0.49/0.65 tc_String_Ochar: $i)).
% 0.49/0.65 tff(v_T_____type, type, (
% 0.49/0.65 v_T____: $i)).
% 0.49/0.65 tff(1,assumption,(c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____))), introduced(assumption)).
% 0.49/0.65 tff(2,plain,
% 0.49/0.65 ((~v_thesis____) <=> (~v_thesis____)),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(3,axiom,(~v_thesis____), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_conjecture_0')).
% 0.49/0.65 tff(4,plain,
% 0.49/0.65 (~v_thesis____),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.49/0.65 tff(5,plain,
% 0.49/0.65 (^[V_T_092_060_094isub_0622: $i] : refl((v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) <=> (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(6,plain,
% 0.49/0.65 (![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) <=> ![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[5])).
% 0.49/0.65 tff(7,plain,
% 0.49/0.65 (![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) <=> ![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(8,axiom,(![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_that_0')).
% 0.49/0.65 tff(9,plain,
% 0.49/0.65 (![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.49/0.65 tff(10,plain,(
% 0.49/0.65 ![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))),
% 0.49/0.65 inference(skolemize,[status(sab)],[9])).
% 0.49/0.65 tff(11,plain,
% 0.49/0.65 (![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.49/0.65 tff(12,plain,
% 0.49/0.65 (((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____))))) <=> ((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____))))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(13,plain,
% 0.49/0.66 ((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____))))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(14,plain,
% 0.49/0.66 ((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.49/0.66 tff(15,plain,
% 0.49/0.66 ($false),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[14, 11, 4, 1])).
% 0.49/0.66 tff(16,plain,(~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____))), inference(lemma,lemma(discharge,[]))).
% 0.49/0.66 tff(17,plain,
% 0.49/0.66 ((v_T____ = c_Type_Oty_OVoid) <=> (v_T____ = c_Type_Oty_OVoid)),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(18,axiom,(v_T____ = c_Type_Oty_OVoid), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_void_0')).
% 0.49/0.66 tff(19,plain,
% 0.49/0.66 (v_T____ = c_Type_Oty_OVoid),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.49/0.66 tff(20,plain,
% 0.49/0.66 (c_Type_Oty_OVoid = v_T____),
% 0.49/0.66 inference(symmetry,[status(thm)],[19])).
% 0.49/0.66 tff(21,plain,
% 0.49/0.66 (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)), c_Type_Oty_OVoid) <=> 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____)),
% 0.49/0.66 inference(monotonicity,[status(thm)],[20])).
% 0.49/0.66 tff(22,plain,
% 0.49/0.66 (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____) <=> 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)), c_Type_Oty_OVoid)),
% 0.49/0.66 inference(symmetry,[status(thm)],[21])).
% 0.49/0.66 tff(23,plain,
% 0.49/0.66 (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____) <=> 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____)),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(24,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/sandbox/benchmark/theBenchmark.p','cls_wt_0')).
% 0.49/0.66 tff(25,plain,
% 0.49/0.66 (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____)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.49/0.66 tff(26,plain,
% 0.49/0.66 (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)), c_Type_Oty_OVoid)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[25, 22])).
% 0.49/0.66 tff(27,plain,
% 0.49/0.66 (^[V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : refl(((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))) <=> ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(28,plain,
% 0.49/0.66 (![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))) <=> ![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[27])).
% 0.49/0.66 tff(29,plain,
% 0.49/0.66 (![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))) <=> ![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(30,plain,
% 0.49/0.66 (^[V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : rewrite(((c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))) | (~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))) <=> ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(31,plain,
% 0.49/0.66 (![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))) | (~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))) <=> ![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[30])).
% 0.49/0.66 tff(32,axiom,(![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v))) | (~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('/export/starexec/sandbox/benchmark/theBenchmark.p','cls_WTrt__elim__cases_I8_J_11')).
% 0.49/0.66 tff(33,plain,
% 0.49/0.66 (![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.49/0.66 tff(34,plain,
% 0.49/0.66 (![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.49/0.66 tff(35,plain,(
% 0.49/0.66 ![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(skolemize,[status(sab)],[34])).
% 0.49/0.66 tff(36,plain,
% 0.49/0.66 (![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.49/0.66 tff(37,plain,
% 0.49/0.66 (((~![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))) | ((~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)), c_Type_Oty_OVoid)) | c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)) | 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____)))) <=> ((~![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))) | (~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)), c_Type_Oty_OVoid)) | c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)) | 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____)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(38,plain,
% 0.49/0.66 ((~![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))) | ((~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)), c_Type_Oty_OVoid)) | c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)) | 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____)))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(39,plain,
% 0.49/0.66 ((~![V_F: $i, V_D: $i, V_E: $i, V_T: $i, V_v: $i, V_h: $i, V_e: $i, V_P: $i] : ((~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)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E, V_P, V_h, V_v)) | c_WellTypeRT_OWTrt(V_P, V_h, V_E, V_v, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D, V_E, V_F, V_P, V_e, V_h, V_v)))) | (~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)), c_Type_Oty_OVoid)) | c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)) | 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____))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.49/0.66 tff(40,plain,
% 0.49/0.66 ((~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)), c_Type_Oty_OVoid)) | c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)) | 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____))),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[39, 36])).
% 0.49/0.66 tff(41,plain,
% 0.49/0.66 (c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)) | 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____))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[40, 26])).
% 0.55/0.73 tff(42,plain,
% 0.55/0.73 (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____))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[41, 16])).
% 0.55/0.73 tff(43,plain,
% 0.55/0.73 (((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | (v_thesis____ | (~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____))))) <=> ((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | v_thesis____ | (~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____))))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(44,plain,
% 0.55/0.73 ((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | (v_thesis____ | (~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____))))),
% 0.55/0.73 inference(quant_inst,[status(thm)],[])).
% 0.55/0.73 tff(45,plain,
% 0.55/0.73 ((~![V_T_092_060_094isub_0622: $i] : (v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))) | v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____, v_E____, v_F____, v_P, v_ea____, v_ha____, v_e_092_060_094isub_0622____)))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.55/0.73 tff(46,plain,
% 0.55/0.73 ($false),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[45, 11, 4, 42])).
% 0.55/0.73 % SZS output end Proof
% 0.55/0.74 % E exiting
%------------------------------------------------------------------------------