%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : COM281_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n028.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 May 5 06:23:06 PM UTC 2026
% Result : Theorem 0.29s 0.51s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM281_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 20:15:02 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.29/0.51 % SZS status Theorem
% 0.29/0.51 % SZS output start Proof
% 0.29/0.51 tff(vwelltypedRawtable_type, type, (
% 0.29/0.51 vwelltypedRawtable: ( vTType * vRawTable ) > $o)).
% 0.29/0.51 tff(vfilterRows_type, type, (
% 0.29/0.51 vfilterRows: ( vRawTable * vAttrL * vPred ) > vRawTable)).
% 0.29/0.51 tff(tptp_fun_Vp_307_type, type, (
% 0.29/0.51 tptp_fun_Vp_307: vPred)).
% 0.29/0.51 tff(tptp_fun_Val0_206_type, type, (
% 0.29/0.51 tptp_fun_Val0_206: ( vPred * vTable ) > vAttrL)).
% 0.29/0.51 tff(tptp_fun_Vt_308_type, type, (
% 0.29/0.51 tptp_fun_Vt_308: vTable)).
% 0.29/0.51 tff(tptp_fun_Vrt0_205_type, type, (
% 0.29/0.51 tptp_fun_Vrt0_205: ( vPred * vTable ) > vRawTable)).
% 0.29/0.51 tff(tptp_fun_Vtt_309_type, type, (
% 0.29/0.51 tptp_fun_Vtt_309: vTType)).
% 0.29/0.51 tff(vmatchingAttrL_type, type, (
% 0.29/0.51 vmatchingAttrL: ( vTType * vAttrL ) > $o)).
% 0.29/0.51 tff(vwelltypedtable_type, type, (
% 0.29/0.51 vwelltypedtable: ( vTType * vTable ) > $o)).
% 0.29/0.51 tff(vtable_type, type, (
% 0.29/0.51 vtable: ( vAttrL * vRawTable ) > vTable)).
% 0.29/0.51 tff(vfilterTable_type, type, (
% 0.29/0.51 vfilterTable: ( vTable * vPred ) > vTable)).
% 0.29/0.51 tff(tptp_fun_Val_82_type, type, (
% 0.29/0.51 tptp_fun_Val_82: ( vTable * vTType ) > vAttrL)).
% 0.29/0.51 tff(tptp_fun_Vt1_81_type, type, (
% 0.29/0.51 tptp_fun_Vt1_81: ( vTable * vTType ) > vRawTable)).
% 0.29/0.51 tff(1,plain,
% 0.29/0.51 (^[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : refl((~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1)))) <=> (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1)))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(2,plain,
% 0.29/0.51 (![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1)))) <=> ![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[1])).
% 0.29/0.51 tff(3,plain,
% 0.29/0.51 (^[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : trans(trans(monotonicity(rewrite((vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)) <=> (~((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))))), ((vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))) <=> (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (~((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))))))), rewrite((vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (~((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))))) <=> (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))), ((vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))) <=> (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1)))))), rewrite((~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1)))) <=> (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))), ((vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))) <=> (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(4,plain,
% 0.29/0.51 (![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))) <=> ![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[3])).
% 0.29/0.51 tff(5,plain,
% 0.29/0.51 (![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))) <=> ![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(6,axiom,(![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''welltypedtable-0'')).
% 0.29/0.51 tff(7,plain,
% 0.29/0.51 (![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.29/0.51 tff(8,plain,(
% 0.29/0.51 ![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedtable(Vtt, vtable(Val, Vt1)) <=> (vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)))),
% 0.29/0.51 inference(skolemize,[status(sab)],[7])).
% 0.29/0.51 tff(9,plain,
% 0.29/0.51 (![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.29/0.51 tff(10,plain,
% 0.29/0.51 (![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.29/0.51 tff(11,plain,
% 0.29/0.51 ((~![Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (~(((~vmatchingAttrL(Vtt, Val)) | (~vwelltypedRawtable(Vtt, Vt1))) <=> vwelltypedtable(Vtt, vtable(Val, Vt1))))) | (~(((~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) <=> vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))))),
% 0.29/0.51 inference(quant_inst,[status(thm)],[])).
% 0.29/0.51 tff(12,plain,
% 0.29/0.51 (~(((~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) <=> vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.29/0.51 tff(13,plain,
% 0.29/0.51 (^[VTable0: vTable, VPred0: vPred] : refl((~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0)))))) <=> (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0)))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(14,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0)))))) <=> ![VTable0: vTable, VPred0: vPred] : (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0))))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[13])).
% 0.29/0.51 tff(15,plain,
% 0.29/0.51 (^[VTable0: vTable, VPred0: vPred] : rewrite(((vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0))) & (VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0)))) <=> (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0)))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(16,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : ((vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0))) & (VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0)))) <=> ![VTable0: vTable, VPred0: vPred] : (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0))))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[15])).
% 0.29/0.51 tff(17,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0))) <=> ![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(18,plain,
% 0.29/0.51 (^[VTable0: vTable, VPred0: vPred] : trans(quant_intro(proof_bind(^[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : rewrite((((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0)) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))) <=> ((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))))), (?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : (((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0)) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))) <=> ?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : ((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))))), trans(der(?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : ((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))) <=> ?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))), elim_unused(?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0))) <=> ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))), (?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : ((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))) <=> ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0))))), (?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : (((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0)) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))) <=> ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(19,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : (((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0)) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0)))) <=> ![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[18])).
% 0.29/0.51 tff(20,axiom,(![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable, Vp0: vPred] : (((VTable0 = vtable(Val0, Vrt0)) & (VPred0 = Vp0)) & (vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, Vp0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''filterTable-INV'')).
% 0.29/0.51 tff(21,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.29/0.51 tff(22,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : ?[Val0: vAttrL, Vrt0: vRawTable] : ((vfilterTable(VTable0, VPred0) = vtable(Val0, vfilterRows(Vrt0, Val0, VPred0))) & (VTable0 = vtable(Val0, Vrt0)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.29/0.51 tff(23,plain,(
% 0.29/0.51 ![VTable0: vTable, VPred0: vPred] : ((vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0))) & (VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0))))),
% 0.29/0.51 inference(skolemize,[status(sab)],[22])).
% 0.29/0.51 tff(24,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0))))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.29/0.51 tff(25,plain,
% 0.29/0.51 (![VTable0: vTable, VPred0: vPred] : (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0))))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.29/0.51 tff(26,plain,
% 0.29/0.51 ((~![VTable0: vTable, VPred0: vPred] : (~((~(vfilterTable(VTable0, VPred0) = vtable(tptp_fun_Val0_206(VPred0, VTable0), vfilterRows(tptp_fun_Vrt0_205(VPred0, VTable0), tptp_fun_Val0_206(VPred0, VTable0), VPred0)))) | (~(VTable0 = vtable(tptp_fun_Val0_206(VPred0, VTable0), tptp_fun_Vrt0_205(VPred0, VTable0))))))) | (~((~(vfilterTable(Vt!308, Vp!307) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) | (~(Vt!308 = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308))))))),
% 0.29/0.51 inference(quant_inst,[status(thm)],[])).
% 0.29/0.51 tff(27,plain,
% 0.29/0.51 (~((~(vfilterTable(Vt!308, Vp!307) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) | (~(Vt!308 = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308)))))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.29/0.51 tff(28,plain,
% 0.29/0.51 (((~(vfilterTable(Vt!308, Vp!307) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) | (~(Vt!308 = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308))))) | (vfilterTable(Vt!308, Vp!307) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.51 inference(tautology,[status(thm)],[])).
% 0.29/0.51 tff(29,plain,
% 0.29/0.51 (vfilterTable(Vt!308, Vp!307) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.29/0.51 tff(30,plain,
% 0.29/0.51 (vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)) = vfilterTable(Vt!308, Vp!307)),
% 0.29/0.51 inference(symmetry,[status(thm)],[29])).
% 0.29/0.51 tff(31,plain,
% 0.29/0.51 (vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))) <=> vwelltypedtable(Vtt!309, vfilterTable(Vt!308, Vp!307))),
% 0.29/0.51 inference(monotonicity,[status(thm)],[30])).
% 0.29/0.51 tff(32,plain,
% 0.29/0.51 (vwelltypedtable(Vtt!309, vfilterTable(Vt!308, Vp!307)) <=> vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.51 inference(symmetry,[status(thm)],[31])).
% 0.29/0.51 tff(33,plain,
% 0.29/0.51 ((~vwelltypedtable(Vtt!309, vfilterTable(Vt!308, Vp!307))) <=> (~vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))))),
% 0.29/0.51 inference(monotonicity,[status(thm)],[32])).
% 0.29/0.51 tff(34,plain,
% 0.29/0.51 ((~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))) <=> (~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp))))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(35,plain,
% 0.29/0.51 ((~![Vtt: vTType, Vt: vTable, Vp: vPred] : (vwelltypedtable(Vtt, Vt) => vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))) <=> (~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp))))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(36,axiom,(~![Vtt: vTType, Vt: vTable, Vp: vPred] : (vwelltypedtable(Vtt, Vt) => vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterPreservesType')).
% 0.29/0.51 tff(37,plain,
% 0.29/0.51 (~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.29/0.51 tff(38,plain,
% 0.29/0.51 (~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[37, 34])).
% 0.29/0.51 tff(39,plain,
% 0.29/0.51 (~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.29/0.51 tff(40,plain,
% 0.29/0.51 (~![Vtt: vTType, Vt: vTable, Vp: vPred] : ((~vwelltypedtable(Vtt, Vt)) | vwelltypedtable(Vtt, vfilterTable(Vt, Vp)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[39, 34])).
% 0.29/0.51 tff(41,plain,(
% 0.29/0.51 ~((~vwelltypedtable(Vtt!309, Vt!308)) | vwelltypedtable(Vtt!309, vfilterTable(Vt!308, Vp!307)))),
% 0.29/0.51 inference(skolemize,[status(sab)],[40])).
% 0.29/0.51 tff(42,plain,
% 0.29/0.51 (~vwelltypedtable(Vtt!309, vfilterTable(Vt!308, Vp!307))),
% 0.29/0.51 inference(or_elim,[status(thm)],[41])).
% 0.29/0.51 tff(43,plain,
% 0.29/0.51 (~vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[42, 33])).
% 0.29/0.51 tff(44,plain,
% 0.29/0.51 ((((~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) <=> vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) | ((~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) | vwelltypedtable(Vtt!309, vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.51 inference(tautology,[status(thm)],[])).
% 0.29/0.51 tff(45,plain,
% 0.29/0.51 ((~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[44, 43, 12])).
% 0.29/0.51 tff(46,plain,
% 0.29/0.51 (((~(vfilterTable(Vt!308, Vp!307) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) | (~(Vt!308 = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308))))) | (Vt!308 = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308)))),
% 0.29/0.51 inference(tautology,[status(thm)],[])).
% 0.29/0.51 tff(47,plain,
% 0.29/0.51 (Vt!308 = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[46, 27])).
% 0.29/0.51 tff(48,plain,
% 0.29/0.51 (vwelltypedtable(Vtt!309, Vt!308)),
% 0.29/0.51 inference(or_elim,[status(thm)],[41])).
% 0.29/0.51 tff(49,plain,
% 0.29/0.51 (^[VTType0: vTType, VTable0: vTable] : refl(((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0)))))) <=> ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0)))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(50,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0)))))) <=> ![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[49])).
% 0.29/0.51 tff(51,plain,
% 0.29/0.51 (^[VTType0: vTType, VTable0: vTable] : rewrite(((~vwelltypedtable(VTType0, VTable0)) | (vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0)) & (VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0))) & vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0)))) <=> ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0)))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(52,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0)) & (VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0))) & vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0)))) <=> ![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[51])).
% 0.29/0.51 tff(53,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val))) <=> ![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(54,plain,
% 0.29/0.51 (^[VTType0: vTType, VTable0: vTable] : trans(monotonicity(trans(quant_intro(proof_bind(^[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : trans(monotonicity(rewrite((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) <=> ((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val))), (((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)) <=> (((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)))), rewrite((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)) <=> ((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))), (((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)) <=> ((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1))))), (?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)) <=> ?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)))), trans(der(?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)) <=> ?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val))), elim_unused(?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)) <=> ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val))), (?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(Vtt, Val) & vwelltypedRawtable(Vtt, Vt1)) <=> ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))), (?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)) <=> ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))), ((vwelltypedtable(VTType0, VTable0) => ?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1))) <=> (vwelltypedtable(VTType0, VTable0) => ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val))))), rewrite((vwelltypedtable(VTType0, VTable0) => ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val))) <=> ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))), ((vwelltypedtable(VTType0, VTable0) => ?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1))) <=> ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(55,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : (vwelltypedtable(VTType0, VTable0) => ?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1))) <=> ![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[54])).
% 0.29/0.51 tff(56,axiom,(![VTType0: vTType, VTable0: vTable] : (vwelltypedtable(VTType0, VTable0) => ?[Vtt: vTType, Val: vAttrL, Vt1: vRawTable] : ((((VTType0 = Vtt) & (VTable0 = vtable(Val, Vt1))) & vmatchingAttrL(Vtt, Val)) & vwelltypedRawtable(Vtt, Vt1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''welltypedtable-true-INV'')).
% 0.29/0.51 tff(57,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.29/0.51 tff(58,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | ?[Val: vAttrL, Vt1: vRawTable] : (vwelltypedRawtable(VTType0, Vt1) & (VTable0 = vtable(Val, Vt1)) & vmatchingAttrL(VTType0, Val)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[57, 53])).
% 0.29/0.51 tff(59,plain,(
% 0.29/0.51 ![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0)) & (VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0))) & vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))),
% 0.29/0.51 inference(skolemize,[status(sab)],[58])).
% 0.29/0.51 tff(60,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[59, 52])).
% 0.29/0.51 tff(61,plain,
% 0.29/0.51 (![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[60, 50])).
% 0.29/0.51 tff(62,plain,
% 0.29/0.51 (((~![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))) | ((~vwelltypedtable(Vtt!309, Vt!308)) | (~((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309))))))) <=> ((~![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))) | (~vwelltypedtable(Vtt!309, Vt!308)) | (~((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309))))))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(63,plain,
% 0.29/0.51 ((~![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))) | ((~vwelltypedtable(Vtt!309, Vt!308)) | (~((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309))))))),
% 0.29/0.51 inference(quant_inst,[status(thm)],[])).
% 0.29/0.51 tff(64,plain,
% 0.29/0.51 ((~![VTType0: vTType, VTable0: vTable] : ((~vwelltypedtable(VTType0, VTable0)) | (~((~vwelltypedRawtable(VTType0, tptp_fun_Vt1_81(VTable0, VTType0))) | (~(VTable0 = vtable(tptp_fun_Val_82(VTable0, VTType0), tptp_fun_Vt1_81(VTable0, VTType0)))) | (~vmatchingAttrL(VTType0, tptp_fun_Val_82(VTable0, VTType0))))))) | (~vwelltypedtable(Vtt!309, Vt!308)) | (~((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309)))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.29/0.51 tff(65,plain,
% 0.29/0.51 (~((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309))))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[64, 61, 48])).
% 0.29/0.51 tff(66,plain,
% 0.29/0.51 (((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309)))) | (Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))),
% 0.29/0.51 inference(tautology,[status(thm)],[])).
% 0.29/0.51 tff(67,plain,
% 0.29/0.51 (Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.29/0.51 tff(68,plain,
% 0.29/0.51 (vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)) = Vt!308),
% 0.29/0.51 inference(symmetry,[status(thm)],[67])).
% 0.29/0.51 tff(69,plain,
% 0.29/0.51 (vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308))),
% 0.29/0.51 inference(transitivity,[status(thm)],[68, 47])).
% 0.29/0.51 tff(70,plain,
% 0.29/0.51 (^[VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : refl(((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1))))) <=> ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(71,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1))))) <=> ![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[70])).
% 0.29/0.51 tff(72,plain,
% 0.29/0.51 (^[VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : rewrite(((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1))) <=> ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1))))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(73,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1))) <=> ![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[72])).
% 0.29/0.51 tff(74,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1))) <=> ![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1)))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(75,plain,
% 0.29/0.51 (^[VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : rewrite(((vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1)) => ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1))) <=> ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1))))),
% 0.29/0.51 inference(bind,[status(th)],[])).
% 0.29/0.51 tff(76,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1)) => ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1))) <=> ![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1)))),
% 0.29/0.51 inference(quant_intro,[status(thm)],[75])).
% 0.29/0.51 tff(77,axiom,(![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1)) => ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p',''EQ-table'')).
% 0.29/0.51 tff(78,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.29/0.51 tff(79,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1)))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.29/0.51 tff(80,plain,(
% 0.29/0.51 ![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | ((VAttrL0 = VAttrL1) & (VRawTable0 = VRawTable1)))),
% 0.29/0.51 inference(skolemize,[status(sab)],[79])).
% 0.29/0.51 tff(81,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[80, 73])).
% 0.29/0.51 tff(82,plain,
% 0.29/0.51 (![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[81, 71])).
% 0.29/0.51 tff(83,plain,
% 0.29/0.51 (((~![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))) | ((~(vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308)))) | (~((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308))))))) <=> ((~![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))) | (~(vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308)))) | (~((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308))))))),
% 0.29/0.51 inference(rewrite,[status(thm)],[])).
% 0.29/0.51 tff(84,plain,
% 0.29/0.51 ((~![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))) | ((~(vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308)))) | (~((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308))))))),
% 0.29/0.51 inference(quant_inst,[status(thm)],[])).
% 0.29/0.51 tff(85,plain,
% 0.29/0.51 ((~![VAttrL0: vAttrL, VRawTable0: vRawTable, VAttrL1: vAttrL, VRawTable1: vRawTable] : ((~(vtable(VAttrL0, VRawTable0) = vtable(VAttrL1, VRawTable1))) | (~((~(VAttrL0 = VAttrL1)) | (~(VRawTable0 = VRawTable1)))))) | (~(vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)) = vtable(tptp_fun_Val0_206(Vp!307, Vt!308), tptp_fun_Vrt0_205(Vp!307, Vt!308)))) | (~((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308)))))),
% 0.29/0.51 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.29/0.51 tff(86,plain,
% 0.29/0.51 (~((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308))))),
% 0.29/0.51 inference(unit_resolution,[status(thm)],[85, 82, 69])).
% 0.29/0.51 tff(87,plain,
% 0.29/0.51 (((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308)))) | (tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))),
% 0.29/0.52 inference(tautology,[status(thm)],[])).
% 0.29/0.52 tff(88,plain,
% 0.29/0.52 (tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308)),
% 0.29/0.52 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.29/0.52 tff(89,plain,
% 0.29/0.52 (vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309)) <=> vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))),
% 0.29/0.52 inference(monotonicity,[status(thm)],[88])).
% 0.29/0.52 tff(90,plain,
% 0.29/0.52 (((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309)))) | vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309))),
% 0.29/0.52 inference(tautology,[status(thm)],[])).
% 0.29/0.52 tff(91,plain,
% 0.29/0.52 (vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309))),
% 0.29/0.52 inference(unit_resolution,[status(thm)],[90, 65])).
% 0.29/0.52 tff(92,plain,
% 0.29/0.52 (vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))),
% 0.29/0.52 inference(modus_ponens,[status(thm)],[91, 89])).
% 0.29/0.52 tff(93,plain,
% 0.29/0.52 ((~((~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val0_206(Vp!307, Vt!308))) | (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.52 inference(tautology,[status(thm)],[])).
% 0.29/0.52 tff(94,plain,
% 0.29/0.52 (~vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))),
% 0.29/0.52 inference(unit_resolution,[status(thm)],[93, 92, 45])).
% 0.29/0.52 tff(95,plain,
% 0.29/0.52 (((~(tptp_fun_Val_82(Vt!308, Vtt!309) = tptp_fun_Val0_206(Vp!307, Vt!308))) | (~(tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308)))) | (tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308))),
% 0.29/0.52 inference(tautology,[status(thm)],[])).
% 0.29/0.52 tff(96,plain,
% 0.29/0.52 (tptp_fun_Vt1_81(Vt!308, Vtt!309) = tptp_fun_Vrt0_205(Vp!307, Vt!308)),
% 0.29/0.52 inference(unit_resolution,[status(thm)],[95, 86])).
% 0.29/0.52 tff(97,plain,
% 0.29/0.52 (vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309)) <=> vwelltypedRawtable(Vtt!309, tptp_fun_Vrt0_205(Vp!307, Vt!308))),
% 0.29/0.52 inference(monotonicity,[status(thm)],[96])).
% 0.29/0.52 tff(98,plain,
% 0.29/0.52 (((~vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))) | (~(Vt!308 = vtable(tptp_fun_Val_82(Vt!308, Vtt!309), tptp_fun_Vt1_81(Vt!308, Vtt!309)))) | (~vmatchingAttrL(Vtt!309, tptp_fun_Val_82(Vt!308, Vtt!309)))) | vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))),
% 0.29/0.52 inference(tautology,[status(thm)],[])).
% 0.29/0.52 tff(99,plain,
% 0.29/0.52 (vwelltypedRawtable(Vtt!309, tptp_fun_Vt1_81(Vt!308, Vtt!309))),
% 0.29/0.52 inference(unit_resolution,[status(thm)],[98, 65])).
% 0.29/0.52 tff(100,plain,
% 0.29/0.52 (vwelltypedRawtable(Vtt!309, tptp_fun_Vrt0_205(Vp!307, Vt!308))),
% 0.29/0.52 inference(modus_ponens,[status(thm)],[99, 97])).
% 0.29/0.52 tff(101,plain,
% 0.29/0.52 (^[Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : refl(((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))) <=> ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))))),
% 0.29/0.52 inference(bind,[status(th)],[])).
% 0.29/0.52 tff(102,plain,
% 0.29/0.52 (![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))) <=> ![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.52 inference(quant_intro,[status(thm)],[101])).
% 0.29/0.52 tff(103,plain,
% 0.29/0.52 (![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))) <=> ![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.52 inference(rewrite,[status(thm)],[])).
% 0.29/0.54 tff(104,plain,
% 0.29/0.54 (^[Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : rewrite((vwelltypedRawtable(Vtt, Vrt) => vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))) <=> ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))))),
% 0.29/0.54 inference(bind,[status(th)],[])).
% 0.29/0.54 tff(105,plain,
% 0.29/0.54 (![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : (vwelltypedRawtable(Vtt, Vrt) => vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp))) <=> ![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.54 inference(quant_intro,[status(thm)],[104])).
% 0.29/0.54 tff(106,axiom,(![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : (vwelltypedRawtable(Vtt, Vrt) => vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','filterRowsPreservesTable')).
% 0.29/0.54 tff(107,plain,
% 0.29/0.54 (![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.54 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.29/0.54 tff(108,plain,
% 0.29/0.54 (![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.54 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.29/0.54 tff(109,plain,(
% 0.29/0.54 ![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.54 inference(skolemize,[status(sab)],[108])).
% 0.29/0.54 tff(110,plain,
% 0.29/0.54 (![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))),
% 0.29/0.54 inference(modus_ponens,[status(thm)],[109, 102])).
% 0.29/0.54 tff(111,plain,
% 0.29/0.54 (((~![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))) | ((~vwelltypedRawtable(Vtt!309, tptp_fun_Vrt0_205(Vp!307, Vt!308))) | vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))) <=> ((~![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))) | (~vwelltypedRawtable(Vtt!309, tptp_fun_Vrt0_205(Vp!307, Vt!308))) | vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.54 inference(rewrite,[status(thm)],[])).
% 0.29/0.54 tff(112,plain,
% 0.29/0.54 ((~![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))) | ((~vwelltypedRawtable(Vtt!309, tptp_fun_Vrt0_205(Vp!307, Vt!308))) | vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307)))),
% 0.29/0.54 inference(quant_inst,[status(thm)],[])).
% 0.29/0.54 tff(113,plain,
% 0.29/0.54 ((~![Vtt: vTType, Vrt: vRawTable, Val: vAttrL, Vp: vPred] : ((~vwelltypedRawtable(Vtt, Vrt)) | vwelltypedRawtable(Vtt, vfilterRows(Vrt, Val, Vp)))) | (~vwelltypedRawtable(Vtt!309, tptp_fun_Vrt0_205(Vp!307, Vt!308))) | vwelltypedRawtable(Vtt!309, vfilterRows(tptp_fun_Vrt0_205(Vp!307, Vt!308), tptp_fun_Val0_206(Vp!307, Vt!308), Vp!307))),
% 0.29/0.54 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.29/0.54 tff(114,plain,
% 0.29/0.54 ($false),
% 0.29/0.54 inference(unit_resolution,[status(thm)],[113, 110, 100, 94])).
% 0.29/0.54 % SZS output end Proof
% 0.29/0.54 % E exiting
%------------------------------------------------------------------------------