%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 0.21s 0.56s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 23:29:20 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UmSY7Vnx3u/cvc5---1.0.5_657.p...
% 0.21/0.56  ------- get file name : TPTP file name is GEO237+3
% 0.21/0.56  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_657.smt2...
% 0.21/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.56  % SZS status Theorem for GEO237+3
% 0.21/0.56  % SZS output start Proof for GEO237+3
% 0.21/0.56  (
% 0.21/0.56  (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 $$unsorted)) (= (tptp.divides_points L A B) (or (and (tptp.left_apart_point A L) (tptp.right_apart_point B L)) (and (tptp.right_apart_point A L) (tptp.left_apart_point B L))))))) (let ((_let_3 (forall ((A $$unsorted) (L $$unsorted)) (= (tptp.apart_point_and_line A L) (or (tptp.left_apart_point A L) (tptp.right_apart_point A L)))))) (let ((_let_4 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.right_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (and _let_5 _let_4))) (let ((_let_7 (tptp.right_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (or _let_9 _let_6))) (let ((_let_11 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (_let_2))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((tptp.divides_points L A B)))) (let ((_let_16 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (not _let_11))) (let ((_let_19 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_17 _let_16))) (let ((_let_22 (forall ((A $$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_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_12)) :args ((or _let_18 _let_10 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_11))) :args _let_25)) :args ((or _let_11 _let_21))) _let_27 :args (_let_11 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_12 false _let_2)) :args (_let_10 false _let_11 false _let_12)))) (let ((_let_30 (not _let_6))) (let ((_let_31 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_32 (and _let_5 _let_31))) (let ((_let_33 (not _let_5))) (let ((_let_34 (tptp.right_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (or _let_31 _let_34))) (let ((_let_36 (= _let_19 _let_35))) (let ((_let_37 (_let_3))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (and _let_8 _let_34))) (let ((_let_40 (and _let_4 _let_34))) (let ((_let_41 (not _let_34))) (let ((_let_42 (or _let_39 _let_32))) (let ((_let_43 (= _let_17 _let_42))) (let ((_let_44 (not _let_42))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_43)) :args ((or _let_17 _let_44 (not _let_43)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 2)) _let_27 :args ((not _let_17) true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_43 false _let_2)) :args (_let_44 true _let_17 false _let_43)))) (let ((_let_46 (and _let_7 _let_31))) (let ((_let_47 (or _let_40 _let_46))) (let ((_let_48 (= _let_16 _let_47))) (let ((_let_49 (not _let_47))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_48)) :args ((or _let_16 _let_49 (not _let_48)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 3)) _let_27 :args ((not _let_16) true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_15)) :args _let_13)) _let_14 :args (_let_48 false _let_2)) :args (_let_49 true _let_16 false _let_48)))) (let ((_let_51 (not _let_9))) (let ((_let_52 (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_6 (not _let_10)))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_31 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST _let_52 _let_29 (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_4 _let_30))) (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_51))) (REORDERING (CNF_AND_NEG :args (_let_40)) :args ((or _let_40 _let_41 (not _let_4)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 0)) _let_50 :args ((not _let_40) true _let_47)) (REORDERING (CNF_AND_NEG :args (_let_39)) :args ((or _let_39 _let_41 (not _let_8)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 0)) _let_45 :args ((not _let_39) true _let_42)) :args (_let_41 false _let_10 true _let_6 true _let_9 true _let_4 true _let_40 true _let_8 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_36)) :args ((or _let_20 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_25)) :args ((or _let_19 _let_21))) _let_27 :args (_let_19 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :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_37)) _let_38 :args (_let_36 false _let_3)) :args (_let_35 false _let_19 false _let_36)) :args (_let_31 true _let_34 false _let_35)))) (let ((_let_54 (not _let_31))) (let ((_let_55 (not _let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_51))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_46)) :args ((or _let_46 _let_54 _let_55))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 1)) _let_50 :args ((not _let_46) true _let_47)) _let_53 :args (_let_55 true _let_46 false _let_31)) :args (_let_51 true _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_6 0)) :args ((or _let_5 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_32)) :args ((or _let_32 _let_54 _let_33))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 1)) _let_45 :args ((not _let_32) true _let_42)) _let_53 :args (_let_33 true _let_32 false _let_31)) :args (_let_30 true _let_5)) _let_29 :args (false true _let_9 true _let_6 false _let_10)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.unequally_directed_opposite_lines X Y) (tptp.unequally_directed_lines X (tptp.reverse_line Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.right_apart_point X Y) (tptp.left_apart_point X (tptp.reverse_line Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.right_convergent_lines X Y) (tptp.left_convergent_lines X (tptp.reverse_line Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.equally_directed_lines X Y) (not (tptp.unequally_directed_lines X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.equally_directed_opposite_lines X Y) (not (tptp.unequally_directed_opposite_lines X Y)))) _let_3 (forall ((L $$unsorted) (M $$unsorted)) (= (tptp.convergent_lines L M) (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_opposite_lines L M)))) _let_2 (forall ((L $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.before_on_line L A B) (and (tptp.distinct_points A B) (tptp.incident_point_and_line A L) (tptp.incident_point_and_line B L) (tptp.equally_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 $$unsorted)) (tptp.equally_directed_lines L L)) (forall ((L $$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 $$unsorted)) (or (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M)))) (forall ((L $$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 $$unsorted)) (=> (tptp.distinct_points A B) (tptp.equally_directed_lines (tptp.line_connecting A B) (tptp.reverse_line (tptp.line_connecting B A))))) (forall ((A $$unsorted) (L $$unsorted)) (tptp.equally_directed_lines (tptp.parallel_through_point L A) L)) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57  )
% 0.21/0.57  % SZS output end Proof for GEO237+3
% 0.21/0.57  % cvc5---1.0.5 exiting
% 0.21/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------