%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 22:50:45 EDT 2023

% Result   : Theorem 0.17s 0.48s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : GEO237+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.09/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.32  % Computer : n022.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   : Tue Aug 29 23:50:08 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vRsrj3ezsn/cvc5---1.0.5_32113.p...
% 0.17/0.48  ------- get file name : TPTP file name is GEO237+1
% 0.17/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32113.smt2...
% 0.17/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.48  % SZS status Theorem for GEO237+1
% 0.17/0.48  % SZS output start Proof for GEO237+1
% 0.17/0.48  (
% 0.17/0.48  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (L $$unsorted)) (=> (tptp.apart_point_and_line C L) (=> (tptp.divides_points L A B) (or (tptp.divides_points L A C) (tptp.divides_points L B C)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.divides_points L A B) (or (and (tptp.left_apart_point A L) (tptp.left_apart_point B _let_1)) (and (tptp.left_apart_point A _let_1) (tptp.left_apart_point B L)))))))) (let ((_let_3 (forall ((A $$unsorted) (L $$unsorted)) (= (tptp.apart_point_and_line A L) (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))))) (let ((_let_4 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.reverse_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_7 (and _let_6 _let_4))) (let ((_let_8 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5))) (let ((_let_9 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (or _let_10 _let_7))) (let ((_let_12 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (_let_2))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 ((tptp.divides_points L A B)))) (let ((_let_17 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_12))) (let ((_let_20 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18 _let_17))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (L $$unsorted)) (or (not (tptp.apart_point_and_line C L)) (not (tptp.divides_points L A B)) (tptp.divides_points L A C) (tptp.divides_points L B C))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (REFL :args (_let_22)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_13)) :args ((or _let_19 _let_11 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_12))) :args _let_26)) :args ((or _let_12 _let_22))) _let_28 :args (_let_12 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_14)) _let_15 :args (_let_13 false _let_2)) :args (_let_11 false _let_12 false _let_13)))) (let ((_let_31 (not _let_7))) (let ((_let_32 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_33 (and _let_6 _let_32))) (let ((_let_34 (not _let_6))) (let ((_let_35 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_5))) (let ((_let_36 (or _let_32 _let_35))) (let ((_let_37 (= _let_20 _let_36))) (let ((_let_38 (_let_3))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (and _let_9 _let_35))) (let ((_let_41 (and _let_4 _let_35))) (let ((_let_42 (not _let_35))) (let ((_let_43 (or _let_40 _let_33))) (let ((_let_44 (= _let_18 _let_43))) (let ((_let_45 (not _let_43))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_44)) :args ((or _let_18 _let_45 (not _let_44)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 2)) _let_28 :args ((not _let_18) true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_14)) _let_15 :args (_let_44 false _let_2)) :args (_let_45 true _let_18 false _let_44)))) (let ((_let_47 (and _let_8 _let_32))) (let ((_let_48 (or _let_41 _let_47))) (let ((_let_49 (= _let_17 _let_48))) (let ((_let_50 (not _let_48))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_17 _let_50 (not _let_49)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 3)) _let_28 :args ((not _let_17) true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_14)) _let_15 :args (_let_49 false _let_2)) :args (_let_50 true _let_17 false _let_49)))) (let ((_let_52 (not _let_10))) (let ((_let_53 (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_7 (not _let_11)))))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_32 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST _let_53 _let_30 (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_4 _let_31))) (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or _let_9 _let_52))) (REORDERING (CNF_AND_NEG :args (_let_41)) :args ((or _let_41 _let_42 (not _let_4)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 0)) _let_51 :args ((not _let_41) true _let_48)) (REORDERING (CNF_AND_NEG :args (_let_40)) :args ((or _let_40 _let_42 (not _let_9)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 0)) _let_46 :args ((not _let_40) true _let_43)) :args (_let_42 false _let_11 true _let_7 true _let_10 true _let_4 true _let_41 true _let_9 true _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or _let_21 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_29 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_26)) :args ((or _let_20 _let_22))) _let_28 :args (_let_20 true _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apart_point_and_line A L)))) :args _let_38)) _let_39 :args (_let_37 false _let_3)) :args (_let_36 false _let_20 false _let_37)) :args (_let_32 true _let_35 false _let_36)))) (let ((_let_55 (not _let_32))) (let ((_let_56 (not _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_10 1)) :args ((or _let_8 _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_47)) :args ((or _let_47 _let_55 _let_56))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 1)) _let_51 :args ((not _let_47) true _let_48)) _let_54 :args (_let_56 true _let_47 false _let_32)) :args (_let_52 true _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_6 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_33)) :args ((or _let_33 _let_55 _let_34))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 1)) _let_46 :args ((not _let_33) true _let_43)) _let_54 :args (_let_34 true _let_33 false _let_32)) :args (_let_31 true _let_6)) _let_30 :args (false true _let_10 true _let_7 false _let_11)) :args (_let_3 (forall ((L $$unsorted) (M $$unsorted)) (= (tptp.convergent_lines L M) (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))))) _let_2 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.before_on_line L A B) (and (tptp.distinct_points A B) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A _let_1))) (not (or (tptp.left_apart_point B L) (tptp.left_apart_point B _let_1))) (not (tptp.unequally_directed_lines L (tptp.line_connecting A B))))))) (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.between_on_line L A B C) (or (and (tptp.before_on_line L A B) (tptp.before_on_line L B C)) (and (tptp.before_on_line L C B) (tptp.before_on_line L B A))))) (forall ((A $$unsorted)) (not (tptp.distinct_points A A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.distinct_points A B) (or (tptp.distinct_points A C) (tptp.distinct_points B C)))) (forall ((L $$unsorted)) (not (tptp.distinct_lines L L))) (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.distinct_lines L M) (or (tptp.distinct_lines L N) (tptp.distinct_lines M N)))) (forall ((L $$unsorted)) (not (tptp.unequally_directed_lines L L))) (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.unequally_directed_lines L M) (or (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines M N)))) (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (or (and (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines L _let_1)) (and (tptp.unequally_directed_lines M N) (tptp.unequally_directed_lines M _let_1)))))) (forall ((L $$unsorted) (M $$unsorted)) (=> (and (tptp.line L) (tptp.line M)) (or (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))))) (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L _let_1)) (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L _let_1))))) (forall ((A $$unsorted) (L $$unsorted)) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))) (forall ((L $$unsorted) (M $$unsorted)) (not (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L (tptp.reverse_line M))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.point A) (tptp.point B) (tptp.distinct_points A B)) (tptp.line (tptp.line_connecting A B)))) (forall ((L $$unsorted) (M $$unsorted)) (=> (and (tptp.line L) (tptp.line M) (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (tptp.point (tptp.intersection_point L M)))) (forall ((L $$unsorted) (A $$unsorted)) (=> (and (tptp.point A) (tptp.line L)) (tptp.line (tptp.parallel_through_point L A)))) (forall ((L $$unsorted)) (=> (tptp.line L) (tptp.line (tptp.reverse_line L)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.line_connecting A B))) (=> (tptp.distinct_points A B) (and (not (tptp.apart_point_and_line A _let_1)) (not (tptp.apart_point_and_line B _let_1)))))) (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.intersection_point L M))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (and (not (tptp.apart_point_and_line _let_1 L)) (not (tptp.apart_point_and_line _let_1 M)))))) (forall ((A $$unsorted) (L $$unsorted)) (not (tptp.apart_point_and_line A (tptp.parallel_through_point L A)))) (forall ((L $$unsorted)) (not (tptp.distinct_lines L (tptp.reverse_line L)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.unequally_directed_lines (tptp.line_connecting A B) (tptp.reverse_line (tptp.line_connecting B A))))) (forall ((A $$unsorted) (L $$unsorted)) (not (tptp.unequally_directed_lines (tptp.parallel_through_point L A) L))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (let ((_let_2 (tptp.reverse_line L))) (=> (and (tptp.distinct_points A B) (tptp.distinct_lines L M)) (or (tptp.left_apart_point A L) (tptp.left_apart_point B L) (tptp.left_apart_point A M) (tptp.left_apart_point B M) (tptp.left_apart_point A _let_2) (tptp.left_apart_point B _let_2) (tptp.left_apart_point A _let_1) (tptp.left_apart_point B _let_1)))))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (=> (and (tptp.distinct_points A B) (tptp.left_apart_point A L)) (or (tptp.left_apart_point B L) (tptp.left_convergent_lines (tptp.line_connecting A B) L)))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (=> (tptp.left_apart_point A L) (or (tptp.distinct_points A B) (tptp.left_apart_point B L)))) (forall ((A $$unsorted) (L $$unsorted) (M $$unsorted)) (=> (and (tptp.left_apart_point A L) (tptp.unequally_directed_lines L M)) (or (tptp.distinct_lines L M) (tptp.left_apart_point A (tptp.reverse_line M))))) (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.left_convergent_lines L M) (or (tptp.unequally_directed_lines M N) (tptp.left_convergent_lines L N)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.48  )
% 0.17/0.48  % SZS output end Proof for GEO237+1
% 0.17/0.48  % cvc5---1.0.5 exiting
% 0.17/0.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------