TSTP Solution File: GEO080+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : GEO080+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 : Fri Sep 16 15:17:47 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO080+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : goeland -dmt -presko -proof %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 05:28:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 [DMT] DMT loaded with preskolemization
% 0.12/0.34 [EQ] equality loaded.
% 0.12/0.34 [0.000059s][1][MAIN] Problem : theBenchmark.p
% 0.12/0.35 Conjecture not found
% 0.12/0.35 Start search
% 0.12/0.35 nb_step : 1 - limit : 31
% 0.12/0.35 Launch Gotab with destructive = true
% 0.12/0.38 % SZS output start Proof for theBenchmark.p
% 0.12/0.38 [0] ALPHA_AND : ((! [C10_10, C111_11, C212_12] : ((=(C10_10, sum(C111_11, C212_12)) <=> ! [Q13_13] : ((incident_c(Q13_13, C10_10) <=> (incident_c(Q13_13, C111_11) | incident_c(Q13_13, C212_12)))))) & ! [C28_28, C129_29] : (((part_of(C129_29, C28_28) & ~=(C129_29, C28_28)) => open(C129_29))) & ! [C30_30, C131_31, C232_32, C333_33] : (((((part_of(C131_31, C30_30) & part_of(C232_32, C30_30)) & part_of(C333_33, C30_30)) & ? [P34_34] : (((end_point(P34_34, C131_31) & end_point(P34_34, C232_32)) & end_point(P34_34, C333_33)))) => (((((part_of(C232_32, C333_33) | part_of(C333_33, C232_32)) | part_of(C131_31, C232_32)) | part_of(C232_32, C131_31)) | part_of(C131_31, C333_33)) | part_of(C333_33, C131_31)))) & ! [C35_35] : (? [P36_36] : (inner_point(P36_36, C35_35))) & ! [C37_37, P38_38] : ((inner_point(P38_38, C37_37) => ? [C139_39, C240_40] : ((meet(P38_38, C139_39, C240_40) & =(C37_37, sum(C139_39, C240_40)))))) & ! [C41_41, P42_42, Q43_43, R44_44] : ((((end_point(P42_42, C41_41) & end_point(Q43_43, C41_41)) & end_point(R44_44, C41_41)) => ((=(P42_42, Q43_43) | =(P42_42, R44_44)) | =(Q43_43, R44_44)))) & ! [C45_45, P46_46] : ((end_point(P46_46, C45_45) => ? [Q47_47] : ((end_point(Q47_47, C45_45) & ~=(P46_46, Q47_47))))) & ! [C48_48, C149_49, C250_50, P51_51] : ((((closed(C48_48) & meet(P51_51, C149_49, C250_50)) & =(C48_48, sum(C149_49, C250_50))) => ! [Q52_52] : ((end_point(Q52_52, C149_49) => meet(Q52_52, C149_49, C250_50))))) & ! [C153_53, C254_54] : ((? [P55_55] : (meet(P55_55, C153_53, C254_54)) => ? [C56_56] : (=(C56_56, sum(C153_53, C254_54))))) & ! [C57_57, C158_58] : ((! [P59_59] : ((incident_c(P59_59, C57_57) <=> incident_c(P59_59, C158_58))) => =(C57_57, C158_58)))) & ~! [C60_60] : (part_of(C60_60, C60_60)))
% 0.12/0.38 -> [1] (! [C10_10, C111_11, C212_12] : ((=(C10_10, sum(C111_11, C212_12)) <=> ! [Q13_13] : ((incident_c(Q13_13, C10_10) <=> (incident_c(Q13_13, C111_11) | incident_c(Q13_13, C212_12)))))) & ! [C28_28, C129_29] : (((part_of(C129_29, C28_28) & ~=(C129_29, C28_28)) => open(C129_29))) & ! [C30_30, C131_31, C232_32, C333_33] : (((((part_of(C131_31, C30_30) & part_of(C232_32, C30_30)) & part_of(C333_33, C30_30)) & ? [P34_34] : (((end_point(P34_34, C131_31) & end_point(P34_34, C232_32)) & end_point(P34_34, C333_33)))) => (((((part_of(C232_32, C333_33) | part_of(C333_33, C232_32)) | part_of(C131_31, C232_32)) | part_of(C232_32, C131_31)) | part_of(C131_31, C333_33)) | part_of(C333_33, C131_31)))) & ! [C35_35] : (? [P36_36] : (inner_point(P36_36, C35_35))) & ! [C37_37, P38_38] : ((inner_point(P38_38, C37_37) => ? [C139_39, C240_40] : ((meet(P38_38, C139_39, C240_40) & =(C37_37, sum(C139_39, C240_40)))))) & ! [C41_41, P42_42, Q43_43, R44_44] : ((((end_point(P42_42, C41_41) & end_point(Q43_43, C41_41)) & end_point(R44_44, C41_41)) => ((=(P42_42, Q43_43) | =(P42_42, R44_44)) | =(Q43_43, R44_44)))) & ! [C45_45, P46_46] : ((end_point(P46_46, C45_45) => ? [Q47_47] : ((end_point(Q47_47, C45_45) & ~=(P46_46, Q47_47))))) & ! [C48_48, C149_49, C250_50, P51_51] : ((((closed(C48_48) & meet(P51_51, C149_49, C250_50)) & =(C48_48, sum(C149_49, C250_50))) => ! [Q52_52] : ((end_point(Q52_52, C149_49) => meet(Q52_52, C149_49, C250_50))))) & ! [C153_53, C254_54] : ((? [P55_55] : (meet(P55_55, C153_53, C254_54)) => ? [C56_56] : (=(C56_56, sum(C153_53, C254_54))))) & ! [C57_57, C158_58] : ((! [P59_59] : ((incident_c(P59_59, C57_57) <=> incident_c(P59_59, C158_58))) => =(C57_57, C158_58)))), ~! [C60_60] : (part_of(C60_60, C60_60))
% 0.12/0.38
% 0.12/0.38 [1] ALPHA_AND : (! [C10_10, C111_11, C212_12] : ((=(C10_10, sum(C111_11, C212_12)) <=> ! [Q13_13] : ((incident_c(Q13_13, C10_10) <=> (incident_c(Q13_13, C111_11) | incident_c(Q13_13, C212_12)))))) & ! [C28_28, C129_29] : (((part_of(C129_29, C28_28) & ~=(C129_29, C28_28)) => open(C129_29))) & ! [C30_30, C131_31, C232_32, C333_33] : (((((part_of(C131_31, C30_30) & part_of(C232_32, C30_30)) & part_of(C333_33, C30_30)) & ? [P34_34] : (((end_point(P34_34, C131_31) & end_point(P34_34, C232_32)) & end_point(P34_34, C333_33)))) => (((((part_of(C232_32, C333_33) | part_of(C333_33, C232_32)) | part_of(C131_31, C232_32)) | part_of(C232_32, C131_31)) | part_of(C131_31, C333_33)) | part_of(C333_33, C131_31)))) & ! [C35_35] : (? [P36_36] : (inner_point(P36_36, C35_35))) & ! [C37_37, P38_38] : ((inner_point(P38_38, C37_37) => ? [C139_39, C240_40] : ((meet(P38_38, C139_39, C240_40) & =(C37_37, sum(C139_39, C240_40)))))) & ! [C41_41, P42_42, Q43_43, R44_44] : ((((end_point(P42_42, C41_41) & end_point(Q43_43, C41_41)) & end_point(R44_44, C41_41)) => ((=(P42_42, Q43_43) | =(P42_42, R44_44)) | =(Q43_43, R44_44)))) & ! [C45_45, P46_46] : ((end_point(P46_46, C45_45) => ? [Q47_47] : ((end_point(Q47_47, C45_45) & ~=(P46_46, Q47_47))))) & ! [C48_48, C149_49, C250_50, P51_51] : ((((closed(C48_48) & meet(P51_51, C149_49, C250_50)) & =(C48_48, sum(C149_49, C250_50))) => ! [Q52_52] : ((end_point(Q52_52, C149_49) => meet(Q52_52, C149_49, C250_50))))) & ! [C153_53, C254_54] : ((? [P55_55] : (meet(P55_55, C153_53, C254_54)) => ? [C56_56] : (=(C56_56, sum(C153_53, C254_54))))) & ! [C57_57, C158_58] : ((! [P59_59] : ((incident_c(P59_59, C57_57) <=> incident_c(P59_59, C158_58))) => =(C57_57, C158_58))))
% 0.12/0.38 -> [2] ! [C10_10, C111_11, C212_12] : ((=(C10_10, sum(C111_11, C212_12)) <=> ! [Q13_13] : ((incident_c(Q13_13, C10_10) <=> (incident_c(Q13_13, C111_11) | incident_c(Q13_13, C212_12)))))), ! [C28_28, C129_29] : (((part_of(C129_29, C28_28) & ~=(C129_29, C28_28)) => open(C129_29))), ! [C30_30, C131_31, C232_32, C333_33] : (((((part_of(C131_31, C30_30) & part_of(C232_32, C30_30)) & part_of(C333_33, C30_30)) & ? [P34_34] : (((end_point(P34_34, C131_31) & end_point(P34_34, C232_32)) & end_point(P34_34, C333_33)))) => (((((part_of(C232_32, C333_33) | part_of(C333_33, C232_32)) | part_of(C131_31, C232_32)) | part_of(C232_32, C131_31)) | part_of(C131_31, C333_33)) | part_of(C333_33, C131_31)))), ! [C35_35] : (? [P36_36] : (inner_point(P36_36, C35_35))), ! [C37_37, P38_38] : ((inner_point(P38_38, C37_37) => ? [C139_39, C240_40] : ((meet(P38_38, C139_39, C240_40) & =(C37_37, sum(C139_39, C240_40)))))), ! [C41_41, P42_42, Q43_43, R44_44] : ((((end_point(P42_42, C41_41) & end_point(Q43_43, C41_41)) & end_point(R44_44, C41_41)) => ((=(P42_42, Q43_43) | =(P42_42, R44_44)) | =(Q43_43, R44_44)))), ! [C45_45, P46_46] : ((end_point(P46_46, C45_45) => ? [Q47_47] : ((end_point(Q47_47, C45_45) & ~=(P46_46, Q47_47))))), ! [C48_48, C149_49, C250_50, P51_51] : ((((closed(C48_48) & meet(P51_51, C149_49, C250_50)) & =(C48_48, sum(C149_49, C250_50))) => ! [Q52_52] : ((end_point(Q52_52, C149_49) => meet(Q52_52, C149_49, C250_50))))), ! [C153_53, C254_54] : ((? [P55_55] : (meet(P55_55, C153_53, C254_54)) => ? [C56_56] : (=(C56_56, sum(C153_53, C254_54))))), ! [C57_57, C158_58] : ((! [P59_59] : ((incident_c(P59_59, C57_57) <=> incident_c(P59_59, C158_58))) => =(C57_57, C158_58)))
% 0.12/0.38
% 0.12/0.38 [2] DELTA_NOT_FORALL : ~! [C60_60] : (part_of(C60_60, C60_60))
% 0.12/0.38 -> [3] ~part_of(skolem_C6060, skolem_C6060)
% 0.12/0.38
% 0.12/0.38 [3] Rewrite : ~part_of(skolem_C6060, skolem_C6060)
% 0.12/0.38 -> [4] ~(incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060) => incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060))
% 0.12/0.38
% 0.12/0.38 [4] ALPHA_NOT_IMPLY : ~(incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060) => incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060))
% 0.12/0.38 -> [5] incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060), ~incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060)
% 0.12/0.38
% 0.12/0.38 [5] CLOSURE : incident_c(skolem_P99(skolem_C6060, skolem_C6060), skolem_C6060)
% 0.12/0.38
% 0.12/0.38 % SZS output end Proof for theBenchmark.p
% 0.12/0.38 [0.036086s][1][Res] 8 goroutines created
% 0.12/0.38 ==== Result ====
% 0.12/0.38 [0.036134s][1][Res] VALID
% 0.12/0.38 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------