TSTP Solution File: GEO182+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 : Wed Aug 30 22:50:12 EDT 2023
% Result : Theorem 0.35s 0.55s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n023.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 : Tue Aug 29 21:04:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eBa0fCFssS/cvc5---1.0.5_6356.p...
% 0.35/0.55 ------- get file name : TPTP file name is GEO182+2
% 0.35/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6356.smt2...
% 0.35/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.35/0.55 % SZS status Theorem for GEO182+2
% 0.35/0.55 % SZS output start Proof for GEO182+2
% 0.35/0.55 (
% 0.35/0.55 (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (=> (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) (tptp.apart_point_and_line Z (tptp.line_connecting Y X)))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.apart_point_and_line X Y) (or (tptp.distinct_lines Y Z) (tptp.apart_point_and_line X Z)))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.distinct_points X Y) (tptp.distinct_lines U V)) (or (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (=> (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (or (tptp.distinct_points X Z) (tptp.distinct_points Y Z)))))) (let ((_let_6 (forall ((X $$unsorted)) (not (tptp.distinct_points X X))))) (let ((_let_7 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (_let_6))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (and _let_7 _let_10))) (let ((_let_12 (and _let_10 _let_7))) (let ((_let_13 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_10))) (let ((_let_17 (or _let_16 _let_15 _let_11))) (let ((_let_18 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_18))) (let ((_let_23 (or _let_22 _let_21 _let_12))) (let ((_let_24 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_25 (tptp.distinct_lines _let_19 _let_13))) (let ((_let_26 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_27 (not _let_25))) (let ((_let_28 (or _let_22 _let_27 _let_26 _let_24 _let_20 _let_14))) (let ((_let_29 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (or _let_22 _let_29 _let_10))) (let ((_let_31 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.distinct_points X Y)) (tptp.distinct_points X Z) (tptp.distinct_points Y Z))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_8)) _let_9 :args ((not _let_29) false _let_6)))) (let ((_let_34 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_13))) (let ((_let_35 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_22 _let_36 _let_34))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Z (tptp.line_connecting X Y))) (tptp.apart_point_and_line Z (tptp.line_connecting Y X)))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) _let_40 :args (_let_39 true _let_38)))) (let ((_let_44 (REFL :args (_let_37)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) :args _let_41)) :args ((or _let_18 _let_37))) _let_43 :args (_let_18 true _let_37)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_22 _let_29 _let_10 (not _let_30)))) _let_45 _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_points X Y) false)) (not (= (tptp.distinct_points X Z) true))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_10 false _let_18 true _let_29 false _let_30)))) (let ((_let_47 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Z (tptp.line_connecting X Y))) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((not (= (tptp.distinct_points X Y) false)) (tptp.distinct_points Z Y)))) (let ((_let_51 (and _let_18 _let_29))) (let ((_let_52 (not _let_24))) (let ((_let_53 (or _let_16 _let_52 _let_51))) (let ((_let_54 (not _let_51))) (let ((_let_55 (or _let_36 _let_25 _let_34))) (let ((_let_56 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.apart_point_and_line X Y)) (tptp.distinct_lines Y Z) (tptp.apart_point_and_line X Z))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (and _let_29 _let_18))) (let ((_let_59 (not _let_26))) (let ((_let_60 (or _let_22 _let_59 _let_58))) (let ((_let_61 (not _let_58))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.distinct_lines U V)) (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_points X X) false))))) :args _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_22 _let_26 _let_24 _let_14 _let_20 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_lines U V) false)) (not (= (tptp.apart_point_and_line X U) true)) (not (= (tptp.apart_point_and_line Y U) true))))) :args (_let_62))) _let_63 :args (_let_28 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_22 _let_59 _let_58 (not _let_60)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or _let_29 _let_61))) _let_33 :args (_let_61 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) false))))) :args _let_49)) _let_48 :args (_let_60 false _let_47)) :args (_let_59 false _let_18 true _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_36 _let_34 _let_25 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_41)) :args ((or _let_35 _let_37))) _let_43 :args (_let_35 true _let_37)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_37 2)) _let_43 :args ((not _let_34) true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.apart_point_and_line X Z) true)) (not (= (tptp.apart_point_and_line X Y) false))))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_25 false _let_35 true _let_34 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_16 _let_52 _let_51 (not _let_53)))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_29 _let_54))) _let_33 :args (_let_54 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_48 :args (_let_53 false _let_47)) :args (_let_52 false _let_10 true _let_51 false _let_53)) _let_45 (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_21 _let_12 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_48 :args (_let_23 false _let_47)) _let_45 (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 _let_11 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_48 :args (_let_17 false _let_47)) _let_46 (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_7 (not _let_12)))) (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_7 (not _let_11)))) :args (_let_7 false _let_28 true _let_26 false _let_25 true _let_24 false _let_18 true _let_20 false _let_23 false _let_18 true _let_14 false _let_17 false _let_10 true _let_12 true _let_11)) _let_9 :args (false false _let_7 false _let_6)) :args (_let_6 (forall ((X $$unsorted)) (not (tptp.distinct_lines X X))) (forall ((X $$unsorted)) (not (tptp.convergent_lines X X))) _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_lines X Y) (or (tptp.distinct_lines X Z) (tptp.distinct_lines Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (or (tptp.convergent_lines X Z) (tptp.convergent_lines Y Z)))) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (=> (or (tptp.apart_point_and_line Z X) (tptp.apart_point_and_line Z Y)) (tptp.distinct_points Z (tptp.intersection_point X Y))))) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.apart_point_and_line X Y) (or (tptp.distinct_points X Z) (tptp.apart_point_and_line Z Y)))) _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (tptp.distinct_lines X Y))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.37/0.56 )
% 0.37/0.56 % SZS output end Proof for GEO182+2
% 0.37/0.56 % cvc5---1.0.5 exiting
% 0.37/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------