%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 22:50:15 EDT 2023

% Result   : Theorem 0.59s 0.77s
% Output   : Proof 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 23:48:57 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.59/0.77  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.HyzOOvTWJg/cvc5---1.0.5_10051.p...
% 0.59/0.77  ------- get file name : TPTP file name is GEO187+2
% 0.59/0.77  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10051.smt2...
% 0.59/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.59/0.77  % SZS status Theorem for GEO187+2
% 0.59/0.77  % SZS output start Proof for GEO187+2
% 0.59/0.77  (
% 0.59/0.77  (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) (not (tptp.apart_point_and_line X _let_2)) (not (tptp.apart_point_and_line Y _let_2))) (and (not (tptp.apart_point_and_line U _let_1)) (not (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 $$unsorted)) (not (tptp.distinct_points X X))))) (let ((_let_6 (forall ((X $$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_7 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_9 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (tptp.distinct_lines _let_9 _let_7))) (let ((_let_11 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_8))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7))) (let ((_let_17 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9))) (let ((_let_18 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_19 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_9))) (let ((_let_20 (not _let_10))) (let ((_let_21 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19 _let_18 _let_17 _let_16))) (let ((_let_24 (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_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (and (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_26))) (let ((_let_28 (not _let_17))) (let ((_let_29 (or _let_22 _let_28 _let_27))) (let ((_let_30 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Z (tptp.line_connecting X Y))) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (not _let_27))) (let ((_let_34 (_let_5))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((not (= (tptp.distinct_points X X) false))))) (let ((_let_37 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9))) (let ((_let_38 (not _let_37))) (let ((_let_39 (and _let_12 _let_38))) (let ((_let_40 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_22 _let_41 _let_18 _let_16 _let_39))) (let ((_let_43 (forall ((X $$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)) (tptp.apart_point_and_line X _let_2) (tptp.apart_point_and_line Y _let_2) (and (not (tptp.apart_point_and_line U _let_1)) (not (tptp.apart_point_and_line V _let_1))))))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_46)) :args ((or _let_21 _let_42))) _let_48 :args (_let_21 true _let_42)))) (let ((_let_51 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (and _let_51 _let_21))) (let ((_let_53 (not _let_19))) (let ((_let_54 (or _let_22 _let_53 _let_52))) (let ((_let_55 ((not (= (tptp.distinct_points X Y) false)) (tptp.distinct_points Z Y)))) (let ((_let_56 (not _let_52))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_18 _let_16 _let_19 _let_17 _let_20 (not _let_23)))) _let_50 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 2)) _let_48 :args ((not _let_18) true _let_42)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 3)) _let_48 :args ((not _let_16) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_22 _let_53 _let_52 (not _let_54)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 0)) :args ((or _let_51 _let_56))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_34)) _let_35 :args ((not _let_51) false _let_5)) :args (_let_56 true _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_32)) _let_31 :args (_let_54 false _let_30)) :args (_let_53 false _let_21 true _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_22 _let_28 _let_27 (not _let_29)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_26 _let_33))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args ((not _let_26) false _let_5)) :args (_let_33 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.line_connecting X Y) (tptp.distinct_points Z X)))) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_28 false _let_21 true _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_9 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.apart_point_and_line X U) true)) (not (= (tptp.apart_point_and_line Y V) true))))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_20 false _let_21 true _let_18 true _let_16 true _let_19 true _let_17 false _let_23)))) (let ((_let_58 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_59 (and _let_58 _let_40))) (let ((_let_60 (not _let_8))) (let ((_let_61 (or _let_41 _let_60 _let_59))) (let ((_let_62 (not _let_59))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_46)) :args ((or _let_40 _let_42))) _let_48 :args (_let_40 true _let_42)))) (let ((_let_64 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_65 (or _let_38 _let_10 _let_64))) (let ((_let_66 (_let_6))) (let ((_let_67 (not (= (tptp.apart_point_and_line X Z) true)))) (let ((_let_68 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_69 (and (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_68))) (let ((_let_70 (not _let_64))) (let ((_let_71 (or _let_41 _let_70 _let_69))) (let ((_let_72 (not _let_69))) (let ((_let_73 (_let_39))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_lines Y Z) true)) _let_67))) :args _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_8 _let_10 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_73) (CONG (REFL :args _let_73) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_46)) :args ((or _let_11 _let_37 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_38 _let_64 _let_10 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_41 _let_70 _let_69 (not _let_71)))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_69 1)) :args ((or _let_68 _let_72))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args ((not _let_68) false _let_5)) :args (_let_72 true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_32)) _let_31 :args (_let_71 false _let_30)) :args (_let_70 false _let_40 true _let_69 false _let_71)) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_9 _let_7 QUANTIFIERS_INST_E_MATCHING (_let_67 (not (= (tptp.apart_point_and_line X Y) false))))) :args _let_66)) _let_14 :args (_let_65 false _let_6)) :args (_let_38 true _let_64 true _let_10 false _let_65)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 4)) _let_48 :args ((not _let_39) true _let_42)) :args (_let_11 true _let_37 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_41 _let_60 _let_59 (not _let_61)))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_59 0)) :args ((or _let_58 _let_62))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_34)) _let_35 :args ((not _let_58) false _let_5)) :args (_let_62 true _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_32)) _let_31 :args (_let_61 false _let_30)) :args (_let_60 false _let_40 true _let_59 false _let_61)) _let_57 :args (_let_15 false _let_11 true _let_8 true _let_10)) _let_14 :args (false true _let_13 false _let_6)) :args (_let_5 (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 $$unsorted)) (=> (tptp.distinct_lines X Y) (or (tptp.distinct_lines X Z) (tptp.distinct_lines Y Z)))) (forall ((X $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.59/0.77  )
% 0.59/0.77  % SZS output end Proof for GEO187+2
% 0.59/0.77  % cvc5---1.0.5 exiting
% 0.59/0.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------