TSTP Solution File: SWV954-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV954-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 : Thu Sep 29 15:25:03 EDT 2022
% Result : Unsatisfiable 0.50s 0.66s
% Output : Proof 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV954-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 11:50:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.50/0.66 % SZS status Unsatisfiable
% 0.50/0.66 % SZS output start Proof
% 0.50/0.66 tff(c_WellTypeRT_OWTrt_type, type, (
% 0.50/0.66 c_WellTypeRT_OWTrt: ( $i * $i * $i * $i * $i ) > $o)).
% 0.50/0.66 tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3_type, type, (
% 0.50/0.66 c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 0.50/0.66 tff(v_e_092_060_094isub_0622_____type, type, (
% 0.50/0.66 v_e_092_060_094isub_0622____: $i)).
% 0.50/0.66 tff(v_ha_____type, type, (
% 0.50/0.66 v_ha____: $i)).
% 0.50/0.66 tff(v_ea_____type, type, (
% 0.50/0.66 v_ea____: $i)).
% 0.50/0.66 tff(v_P_type, type, (
% 0.50/0.66 v_P: $i)).
% 0.50/0.66 tff(v_F_____type, type, (
% 0.50/0.66 v_F____: $i)).
% 0.50/0.66 tff(v_E_____type, type, (
% 0.50/0.66 v_E____: $i)).
% 0.50/0.66 tff(v_D_____type, type, (
% 0.50/0.66 v_D____: $i)).
% 0.50/0.66 tff(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4_type, type, (
% 0.50/0.66 c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4: ( $i * $i * $i * $i ) > $i)).
% 0.50/0.66 tff(v_thesis_____type, type, (
% 0.50/0.66 v_thesis____: $o)).
% 0.50/0.66 tff(c_Type_Oty_OVoid_type, type, (
% 0.50/0.66 c_Type_Oty_OVoid: $i)).
% 0.50/0.66 tff(c_Expr_Oexp_OFAss_type, type, (
% 0.50/0.66 c_Expr_Oexp_OFAss: ( $i * $i * $i * $i * $i ) > $i)).
% 0.50/0.66 tff(tc_List_Olist_type, type, (
% 0.50/0.66 tc_List_Olist: $i > $i)).
% 0.50/0.66 tff(tc_String_Ochar_type, type, (
% 0.50/0.66 tc_String_Ochar: $i)).
% 0.50/0.66 tff(v_T_____type, type, (
% 0.50/0.66 v_T____: $i)).
% 0.50/0.66 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)).
% 0.50/0.66 tff(2,plain,
% 0.50/0.66 (^[V_T_092_060_094isub_0622: $i] : refl((~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)) <=> (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622)))),
% 0.50/0.66 inference(bind,[status(th)],[])).
% 0.50/0.66 tff(3,plain,
% 0.50/0.66 (![V_T_092_060_094isub_0622: $i] : (~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] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(quant_intro,[status(thm)],[2])).
% 0.50/0.66 tff(4,plain,
% 0.50/0.66 (![V_T_092_060_094isub_0622: $i] : (~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] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(5,plain,
% 0.50/0.66 (^[V_T_092_060_094isub_0622: $i] : trans(monotonicity(iff_false(asserted(~v_thesis____), (v_thesis____ <=> $false)), ((v_thesis____ | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) <=> ($false | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))))), rewrite(($false | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) <=> (~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))) <=> (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))))),
% 0.50/0.66 inference(bind,[status(th)],[])).
% 0.50/0.66 tff(6,plain,
% 0.50/0.66 (![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_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(quant_intro,[status(thm)],[5])).
% 0.50/0.66 tff(7,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')).
% 0.50/0.66 tff(8,plain,
% 0.50/0.66 (![V_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.50/0.66 tff(9,plain,
% 0.50/0.66 (![V_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.50/0.66 tff(10,plain,(
% 0.50/0.66 ![V_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(skolemize,[status(sab)],[9])).
% 0.50/0.66 tff(11,plain,
% 0.50/0.66 (![V_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.50/0.66 tff(12,plain,
% 0.50/0.66 ((~![V_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____, v_P, v_ha____, v_e_092_060_094isub_0622____)))),
% 0.50/0.66 inference(quant_inst,[status(thm)],[])).
% 0.50/0.66 tff(13,plain,
% 0.50/0.66 ($false),
% 0.50/0.66 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.50/0.66 tff(14,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,[]))).
% 0.50/0.66 tff(15,plain,
% 0.50/0.66 (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)),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(16,plain,
% 0.50/0.66 (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____)),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(17,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')).
% 0.50/0.66 tff(18,plain,
% 0.50/0.66 (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____)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.50/0.66 tff(19,plain,
% 0.50/0.66 (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)),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.50/0.66 tff(20,plain,
% 0.50/0.66 (^[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))))),
% 0.50/0.66 inference(bind,[status(th)],[])).
% 0.50/0.66 tff(21,plain,
% 0.50/0.66 (![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)))),
% 0.50/0.66 inference(quant_intro,[status(thm)],[20])).
% 0.50/0.66 tff(22,plain,
% 0.50/0.66 (![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)))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(23,plain,
% 0.50/0.66 (^[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))))),
% 0.50/0.66 inference(bind,[status(th)],[])).
% 0.50/0.66 tff(24,plain,
% 0.50/0.66 (![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)))),
% 0.50/0.66 inference(quant_intro,[status(thm)],[23])).
% 0.50/0.66 tff(25,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')).
% 0.50/0.66 tff(26,plain,
% 0.50/0.66 (![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)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.50/0.66 tff(27,plain,
% 0.50/0.66 (![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)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.50/0.66 tff(28,plain,(
% 0.50/0.66 ![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)))),
% 0.50/0.66 inference(skolemize,[status(sab)],[27])).
% 0.50/0.66 tff(29,plain,
% 0.50/0.66 (![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)))),
% 0.50/0.66 inference(modus_ponens,[status(thm)],[28, 21])).
% 0.50/0.66 tff(30,plain,
% 0.50/0.66 (((~![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____)))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(31,plain,
% 0.50/0.66 ((~![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____)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(32,plain,
% 0.58/0.73 ((~![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____))),
% 0.58/0.73 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.58/0.73 tff(33,plain,
% 0.58/0.73 (c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__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____))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[32, 29, 19])).
% 0.58/0.73 tff(34,plain,
% 0.58/0.73 (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____))),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[33, 14])).
% 0.58/0.73 tff(35,plain,
% 0.58/0.73 ((~![V_T_092_060_094isub_0622: $i] : (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, V_T_092_060_094isub_0622))) | (~c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, v_e_092_060_094isub_0622____, c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____, v_E____, v_F____, v_P, v_ea____, v_ha____, v_e_092_060_094isub_0622____)))),
% 0.58/0.73 inference(quant_inst,[status(thm)],[])).
% 0.58/0.73 tff(36,plain,
% 0.58/0.73 ($false),
% 0.58/0.73 inference(unit_resolution,[status(thm)],[35, 11, 34])).
% 0.58/0.73 % SZS output end Proof
%------------------------------------------------------------------------------