%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 22:50:43 EDT 2023

% Result   : Theorem 0.20s 0.73s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO233+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 22:38:14 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.73  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cc5JGVELAj/cvc5---1.0.5_7451.p...
% 0.20/0.73  ------- get file name : TPTP file name is GEO233+1
% 0.20/0.73  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7451.smt2...
% 0.20/0.73  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.73  % SZS status Theorem for GEO233+1
% 0.20/0.73  % SZS output start Proof for GEO233+1
% 0.20/0.73  (
% 0.20/0.73  (let ((_let_1 (forall ((L $$unsorted)) (not (tptp.unequally_directed_lines (tptp.reverse_line (tptp.reverse_line L)) L))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((L $$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 ((_let_4 (forall ((L $$unsorted) (M $$unsorted)) (not (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L (tptp.reverse_line M))))))) (let ((_let_5 (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))))))) (let ((_let_6 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.unequally_directed_lines L M) (or (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines M N)))))) (let ((_let_7 (forall ((L $$unsorted)) (not (tptp.unequally_directed_lines L L))))) (let ((_let_8 (tptp.reverse_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.left_convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_10 (tptp.reverse_line _let_8))) (let ((_let_11 (tptp.unequally_directed_lines _let_10 _let_8))) (let ((_let_12 (tptp.left_convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9))) (let ((_let_15 (forall ((BOUND_VARIABLE_1021 $$unsorted) (BOUND_VARIABLE_1023 $$unsorted)) (not (tptp.left_convergent_lines BOUND_VARIABLE_1021 (tptp.reverse_line BOUND_VARIABLE_1023)))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (_let_15))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_17) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_17)) (AND_ELIM _let_16 :args (1)) :args ((not _let_9) false _let_15)))) (let ((_let_19 (tptp.left_convergent_lines _let_10 _let_8))) (let ((_let_20 (tptp.left_convergent_lines _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (not _let_11))) (let ((_let_22 (tptp.unequally_directed_lines _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_20 _let_19))) (let ((_let_25 (forall ((L $$unsorted) (M $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (or (not (tptp.unequally_directed_lines L M)) (not (tptp.unequally_directed_lines L _let_1)) (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L _let_1)))))) (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 ((not (= (tptp.unequally_directed_lines L (tptp.reverse_line M)) false))))) (let ((_let_29 (forall ((BOUND_VARIABLE_1013 $$unsorted) (BOUND_VARIABLE_1015 $$unsorted)) (not (tptp.left_convergent_lines BOUND_VARIABLE_1013 BOUND_VARIABLE_1015))))) (let ((_let_30 (AND_ELIM _let_16 :args (0)))) (let ((_let_31 (_let_29))) (let ((_let_32 ((not (= (tptp.left_convergent_lines BOUND_VARIABLE_1013 BOUND_VARIABLE_1015) false))))) (let ((_let_33 (ASSUME :args _let_31))) (let ((_let_34 (_let_2))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_35) :args _let_34) (REWRITE :args ((=> _let_2 (not _let_23)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_22)) :args (or))) _let_35 :args (_let_22 true _let_1)))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 _let_20 _let_19 (not _let_24)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args ((not _let_20) false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args ((not _let_19) false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_28)) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_21 false _let_22 true _let_20 true _let_19 false _let_24)))) (let ((_let_38 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (or (not (tptp.left_convergent_lines L M)) (tptp.unequally_directed_lines M N) (tptp.left_convergent_lines L N))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41 _let_9 _let_12))) (let ((_let_45 (tptp.unequally_directed_lines _let_10 _let_10))) (let ((_let_46 (or _let_23 _let_45 _let_40))) (let ((_let_47 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (or (not (tptp.unequally_directed_lines L M)) (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines M N))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (not (= (tptp.unequally_directed_lines L M) false)))) (let ((_let_51 (_let_7))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (or _let_23 _let_11 _let_42))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_9 _let_11 _let_13 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_9 _let_41 _let_12 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_23 _let_42 _let_11 (not _let_53)))) _let_36 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_E_MATCHING (_let_50 (not (= (tptp.unequally_directed_lines M N) true))))) :args _let_49)) _let_48 :args (_let_53 false _let_47)) :args (_let_42 false _let_22 true _let_11 false _let_53)) _let_18 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_23 _let_45 _let_40 (not _let_46)))) _let_36 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.unequally_directed_lines L L) false))))) :args _let_51)) _let_52 :args ((not _let_45) false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING (_let_50 (not (= (tptp.unequally_directed_lines L N) true))))) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_40 false _let_22 true _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_E_MATCHING _let_28)) :args _let_27)) _let_26 :args (_let_44 false _let_25)) :args (_let_12 false _let_42 true _let_9 false _let_40 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.unequally_directed_lines M N) true)) (not (= (tptp.left_convergent_lines L N) true))))) :args (_let_38))) _let_39 :args (_let_14 false _let_38)) _let_37 _let_18 :args (false false _let_12 false _let_14 true _let_11 true _let_9)) :args ((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))))) (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))))) (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (let ((_let_1 (tptp.reverse_line L))) (= (tptp.divides_points L A B) (or (and (tptp.left_apart_point A L) (tptp.left_apart_point B _let_1)) (and (tptp.left_apart_point A _let_1) (tptp.left_apart_point B L)))))) (forall ((L $$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)))) _let_7 _let_6 (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 $$unsorted)) (=> (and (tptp.line L) (tptp.line M)) (or (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))))) _let_5 (forall ((A $$unsorted) (L $$unsorted)) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))) _let_4 (forall ((A $$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))))) _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.73  )
% 0.20/0.73  % SZS output end Proof for GEO233+1
% 0.20/0.73  % cvc5---1.0.5 exiting
% 0.20/0.74  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------