%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 22:50:28 EDT 2023

% Result   : Theorem 0.35s 0.53s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO205+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Wed Aug 30 00:07:46 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.O9dvDFlPW2/cvc5---1.0.5_15475.p...
% 0.35/0.53  ------- get file name : TPTP file name is GEO205+2
% 0.35/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15475.smt2...
% 0.35/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.35/0.53  % SZS status Theorem for GEO205+2
% 0.35/0.53  % SZS output start Proof for GEO205+2
% 0.35/0.53  (
% 0.35/0.53  (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.convergent_lines X Y) (not (tptp.distinct_lines Y Z))) (and (tptp.convergent_lines X Z) (not (tptp.distinct_points (tptp.intersection_point X Y) (tptp.intersection_point X Z))))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (tptp.distinct_lines X Y))))) (let ((_let_3 (forall ((X $$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_4 (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_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (=> (or (tptp.apart_point_and_line Z X) (tptp.apart_point_and_line Z Y)) (tptp.distinct_points Z (tptp.intersection_point X Y))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (or (tptp.convergent_lines X Z) (tptp.convergent_lines Y Z)))))) (let ((_let_7 (forall ((X $$unsorted)) (not (tptp.distinct_points X X))))) (let ((_let_8 (forall ((X $$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_9 (tptp.intersection_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.apart_point_and_line _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.distinct_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.apart_point_and_line _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_10))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (not _let_10))) (let ((_let_18 (tptp.apart_point_and_line _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (and _let_19 _let_17))) (let ((_let_21 (tptp.distinct_points _let_9 _let_9))) (let ((_let_22 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_20 _let_21))) (let ((_let_25 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.convergent_lines X Y)) (and (not (tptp.apart_point_and_line Z X)) (not (tptp.apart_point_and_line Z Y))) (tptp.distinct_points Z (tptp.intersection_point X Y)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 (tptp.intersection_point X Y))) (let ((_let_29 (_let_7))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((not (= (tptp.distinct_points X X) false))))) (let ((_let_32 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_22 _let_32))) (let ((_let_36 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.convergent_lines X Y)) (tptp.convergent_lines X Z) (tptp.convergent_lines Y Z))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (not _let_32))) (let ((_let_39 (or _let_38 _let_11))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.convergent_lines X Y)) (tptp.distinct_lines X Y))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (tptp.intersection_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (tptp.distinct_points _let_43 _let_9))) (let ((_let_45 (not _let_44))) (let ((_let_46 (and _let_22 _let_45))) (let ((_let_47 (or _let_34 _let_11 _let_46))) (let ((_let_48 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.convergent_lines X Y)) (tptp.distinct_lines Y Z) (and (tptp.convergent_lines X Z) (not (tptp.distinct_points (tptp.intersection_point X Y) (tptp.intersection_point X Z)))))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (not _let_48))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_52))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_48))) (REFL :args (_let_49)) :args _let_51)) _let_50 :args (_let_49 true _let_48)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 1)) _let_53 :args ((not _let_11) true _let_47)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_51)) :args ((or _let_33 _let_47))) _let_53 :args (_let_33 true _let_47)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_22 _let_32 (not _let_35)))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_11 _let_38 (not _let_39)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_lines X Y) true))))) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_38 true _let_11 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.convergent_lines X Y) false)) (not (= (tptp.convergent_lines X Z) true))))) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_22 false _let_33 true _let_32 false _let_35)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_20 (not _let_24)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args ((not _let_21) false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.apart_point_and_line Z Y) _let_28))) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_20 false _let_22 true _let_21 false _let_24)))) (let ((_let_58 (not _let_20))) (let ((_let_59 (and _let_19 _let_13))) (let ((_let_60 (tptp.distinct_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (tptp.apart_point_and_line _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_62 (tptp.apart_point_and_line _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_63 (not _let_60))) (let ((_let_64 (or _let_45 _let_63 _let_62 _let_61 _let_18 _let_12))) (let ((_let_65 (not _let_59))) (let ((_let_66 (or _let_34 _let_60))) (let ((_let_67 (_let_46))) (let ((_let_68 (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_69 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (not _let_61))) (let ((_let_71 (not _let_62))) (let ((_let_72 (and _let_71 _let_70))) (let ((_let_73 (tptp.distinct_points _let_43 _let_43))) (let ((_let_74 (or _let_34 _let_72 _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_34 _let_73 _let_72 (not _let_74)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_31)) :args _let_29)) _let_30 :args ((not _let_73) false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_43 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_points Z _let_28) true))))) :args _let_27)) _let_26 :args (_let_74 false _let_25)) :args (_let_72 false _let_33 true _let_73 false _let_74)))) (let ((_let_76 (not _let_72))) (let ((_let_77 (_let_59))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.apart_point_and_line X Z) true)) (not (= (tptp.apart_point_and_line X Y) false))))) :args (_let_8))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_11 _let_13 _let_10 _let_16))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_77) (CONG (REFL :args _let_77) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_51)) :args ((or _let_18 _let_12 _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_19 _let_58))) _let_57 :args (_let_19 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_45 _let_63 _let_62 _let_61 _let_18 _let_12 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 1)) :args ((or _let_70 _let_76))) _let_75 :args (_let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 0)) :args ((or _let_71 _let_76))) _let_75 :args (_let_71 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_43 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_points X Y) false)) (not (= (tptp.distinct_lines U V) false))))) :args (_let_68))) _let_69 :args (_let_64 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_67) (CONG (REFL :args _let_67) (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_51)) :args ((or _let_44 _let_46 _let_23))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 2)) _let_53 :args ((not _let_46) true _let_47)) _let_56 :args (_let_44 true _let_46 false _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_34 _let_60 (not _let_66)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.convergent_lines X Y) false))))) :args _let_42)) _let_41 :args (_let_66 false _let_40)) :args (_let_60 false _let_33 false _let_66)) (REORDERING (CNF_AND_POS :args (_let_59 1)) :args ((or _let_13 _let_65))) (REORDERING (CNF_AND_POS :args (_let_59 0)) :args ((or _let_19 _let_65))) :args (_let_65 true _let_61 true _let_62 false _let_64 false _let_44 false _let_60 true _let_12 true _let_18)) :args (_let_12 true _let_18 true _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_17 _let_58))) _let_57 :args (_let_17 false _let_20)) :args (_let_16 true _let_11 false _let_12 true _let_10)) _let_15 :args (false true _let_14 false _let_8)) :args (_let_7 (forall ((X $$unsorted)) (not (tptp.distinct_lines X X))) (forall ((X $$unsorted)) (not (tptp.convergent_lines X X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (or (tptp.distinct_points X Z) (tptp.distinct_points Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_lines X Y) (or (tptp.distinct_lines X Z) (tptp.distinct_lines Y Z)))) _let_6 (forall ((X $$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_5 _let_4 (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_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.54  )
% 0.35/0.54  % SZS output end Proof for GEO205+2
% 0.35/0.54  % cvc5---1.0.5 exiting
% 0.41/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------