%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 22:50:08 EDT 2023

% Result   : Theorem 2.11s 2.36s
% Output   : Proof 2.11s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Wed Aug 30 00:12:12 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.18/0.44  %----Proving TF0_NAR, FOF, or CNF
% 2.11/2.36  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YEDP02IGr3/cvc5---1.0.5_18440.p...
% 2.11/2.36  ------- get file name : TPTP file name is GEO177+2
% 2.11/2.36  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18440.smt2...
% 2.11/2.36  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.11/2.36  % SZS status Theorem for GEO177+2
% 2.11/2.36  % SZS output start Proof for GEO177+2
% 2.11/2.36  (
% 2.11/2.36  (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.line_connecting X Y))) (let ((_let_2 (tptp.line_connecting U V))) (=> (and (tptp.distinct_points X Y) (tptp.distinct_points U V)) (=> (or (tptp.apart_point_and_line X _let_2) (tptp.apart_point_and_line Y _let_2)) (or (tptp.apart_point_and_line U _let_1) (tptp.apart_point_and_line V _let_1)))))))))) (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_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (_let_6))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (and _let_10 _let_7))) (let ((_let_12 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_11))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Z (tptp.line_connecting X Y))) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (_let_18))) (let ((_let_21 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21))) (let ((_let_23 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12))) (let ((_let_24 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_21))) (let ((_let_25 (tptp.distinct_lines _let_12 _let_21))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_10))) (let ((_let_28 (or _let_27 _let_26 _let_13 _let_24 _let_23 _let_22))) (let ((_let_29 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.distinct_lines U V)) (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_32 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_25 _let_31))) (let ((_let_35 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_36 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_25 _let_35))) (let ((_let_39 (and _let_33 _let_37))) (let ((_let_40 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_41 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (and _let_41 _let_40))) (let ((_let_43 (not _let_31))) (let ((_let_44 (not _let_40))) (let ((_let_45 (or _let_44 _let_43 _let_42))) (let ((_let_46 ((not (= (tptp.distinct_points X Y) false)) (tptp.distinct_points Z Y)))) (let ((_let_47 (not _let_42))) (let ((_let_48 (or _let_44 _let_16 _let_39 _let_22 _let_24))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.line_connecting X Y))) (let ((_let_2 (tptp.line_connecting U V))) (or (not (tptp.distinct_points X Y)) (not (tptp.distinct_points U V)) (and (not (tptp.apart_point_and_line X _let_2)) (not (tptp.apart_point_and_line Y _let_2))) (tptp.apart_point_and_line U _let_1) (tptp.apart_point_and_line V _let_1))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_51) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) _let_51 :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) :args _let_52)) :args ((or _let_40 _let_48))) _let_54 :args (_let_40 true _let_48)))) (let ((_let_57 (forall ((X $$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_58 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 ((not (= (tptp.apart_point_and_line X Z) true)) (not (= (tptp.apart_point_and_line X Y) false))))) (let ((_let_61 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_62 (and (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_61))) (let ((_let_63 (not _let_35))) (let ((_let_64 (or _let_44 _let_63 _let_62))) (let ((_let_65 (not _let_62))) (let ((_let_66 ((not (= (tptp.distinct_points X X) false))))) (let ((_let_67 (_let_39))) (let ((_let_68 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_69 (or _let_16 _let_68 _let_10))) (let ((_let_70 (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_71 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_8)) _let_9 :args ((not _let_68) false _let_6)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_52)) :args ((or _let_15 _let_48))) _let_54 :args (_let_15 true _let_48)))) (let ((_let_74 (and _let_68 _let_15))) (let ((_let_75 (not _let_23))) (let ((_let_76 (or _let_16 _let_75 _let_74))) (let ((_let_77 (not _let_74))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_7 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_14 _let_11 (not _let_17)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_22 _let_24 _let_23 _let_27 _let_13 _let_26 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 3)) _let_54 :args ((not _let_22) true _let_48)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 4)) _let_54 :args ((not _let_24) true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_16 _let_75 _let_74 (not _let_76)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 0)) :args ((or _let_68 _let_77))) _let_72 :args (_let_77 true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_20)) _let_19 :args (_let_76 false _let_18)) :args (_let_75 false _let_15 true _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_16 _let_68 _let_10 (not _let_69)))) _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_points X Y) false)) (not (= (tptp.distinct_points X Z) true))))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_10 false _let_15 true _let_68 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_67) (CONG (REFL :args _let_67) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_52)) :args ((or _let_32 _let_36 _let_39))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 2)) _let_54 :args ((not _let_39) true _let_48)) (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 _let_25 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_12 _let_21 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_59)) _let_58 :args (_let_38 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_44 _let_63 _let_62 (not _let_64)))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 1)) :args ((or _let_61 _let_65))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_8)) _let_9 :args ((not _let_61) false _let_6)) :args (_let_65 true _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_20)) _let_19 :args (_let_64 false _let_18)) :args (_let_63 false _let_40 true _let_62 false _let_64)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 _let_25 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12 _let_21 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_59)) _let_58 :args (_let_34 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 _let_42 (not _let_45)))) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_41 _let_47))) (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_41) false _let_6)) :args (_let_47 true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_20)) _let_19 :args (_let_45 false _let_18)) :args (_let_43 false _let_40 true _let_42 false _let_45)) :args (_let_25 true _let_39 true _let_36 false _let_38 true _let_35 true _let_32 false _let_34 true _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_12 _let_21 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.apart_point_and_line X V) true)) (not (= (tptp.apart_point_and_line Y U) true))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_13 true _let_22 true _let_24 true _let_23 false _let_10 false _let_25 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.line_connecting X Y) (tptp.distinct_points Z X)))) :args _let_20)) _let_19 :args (_let_17 false _let_18)) :args (_let_11 false _let_15 false _let_13 false _let_17)) :args (_let_7 false _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.11/2.37  )
% 2.11/2.37  % SZS output end Proof for GEO177+2
% 2.11/2.37  % cvc5---1.0.5 exiting
% 2.11/2.37  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------