%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 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 22:50:45 EDT 2023

% Result   : Theorem 0.22s 0.56s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO238+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n017.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 18:53:43 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.56  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.drB5AevdQJ/cvc5---1.0.5_11668.p...
% 0.22/0.56  ------- get file name : TPTP file name is GEO238+3
% 0.22/0.56  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11668.smt2...
% 0.22/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.56  % SZS status Theorem for GEO238+3
% 0.22/0.56  % SZS output start Proof for GEO238+3
% 0.22/0.56  (
% 0.22/0.56  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (L $$unsorted)) (=> (and (tptp.divides_points L A B) (tptp.divides_points L A C)) (not (tptp.divides_points L B C))))))) (let ((_let_2 (forall ((A $$unsorted) (L $$unsorted)) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (L $$unsorted)) (= (tptp.divides_points L A B) (or (and (tptp.left_apart_point A L) (tptp.right_apart_point B L)) (and (tptp.right_apart_point A L) (tptp.left_apart_point B L))))))) (let ((_let_4 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (and (tptp.right_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_4))) (let ((_let_6 (tptp.left_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (and _let_6 (tptp.right_apart_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (_let_3))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (not _let_9))) (let ((_let_14 (or (not (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.divides_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_13))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (L $$unsorted)) (or (not (tptp.divides_points L A B)) (not (tptp.divides_points L A C)) (not (tptp.divides_points L B C)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (not _let_7))) (let ((_let_21 (forall ((BOUND_VARIABLE_1008 $$unsorted) (BOUND_VARIABLE_1010 $$unsorted)) (not (tptp.left_apart_point BOUND_VARIABLE_1008 BOUND_VARIABLE_1010))))) (let ((_let_22 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args (0)))) (let ((_let_23 (_let_21))) (let ((_let_24 ((not (= (tptp.left_apart_point BOUND_VARIABLE_1008 BOUND_VARIABLE_1010) false))))) (let ((_let_25 (ASSUME :args _let_23))) (let ((_let_26 (not _let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 1)) :args ((or _let_4 _let_26))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args ((not _let_4) false _let_21)) :args (_let_26 true _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_6 _let_20))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_24)) :args _let_23)) _let_22 :args ((not _let_6) false _let_21)) :args (_let_20 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_10)) :args ((or _let_13 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 2)) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_9))) :args _let_18)) :args ((or _let_9 _let_14))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)) :args (_let_9 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divides_points L A B)))) :args _let_11)) _let_12 :args (_let_10 false _let_3)) :args (_let_8 false _let_9 false _let_10)) :args (false true _let_5 true _let_7 false _let_8)) :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 $$unsorted)) (= (tptp.equally_directed_opposite_lines X Y) (not (tptp.unequally_directed_opposite_lines X Y)))) (forall ((A $$unsorted) (L $$unsorted)) (= (tptp.apart_point_and_line A L) (or (tptp.left_apart_point A L) (tptp.right_apart_point A L)))) (forall ((L $$unsorted) (M $$unsorted)) (= (tptp.convergent_lines L M) (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_opposite_lines L M)))) _let_3 (forall ((L $$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 $$unsorted)) (let ((_let_1 (tptp.reverse_line M))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L _let_1)) (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L _let_1))))) _let_2 (forall ((L $$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)))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for GEO238+3
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------