TSTP Solution File: GEO146-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 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 22:49:56 EDT 2023

% Result   : Unsatisfiable 0.22s 0.64s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : GEO146-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % 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 23:37:20 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nqGE5RzLcy/cvc5---1.0.5_16020.p...
% 0.22/0.54  ------- get file name : TPTP file name is GEO146-1
% 0.22/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16020.smt2...
% 0.22/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.64  % SZS status Unsatisfiable for GEO146-1
% 0.22/0.64  % SZS output start Proof for GEO146-1
% 0.22/0.65  (
% 0.22/0.65  (let ((_let_1 (tptp.connect tptp.sk27 tptp.sk28 tptp.sk29))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.connect tptp.sk28 tptp.sk27 tptp.sk29))) (let ((_let_4 (not _let_3))) (let ((_let_5 (or _let_4 _let_2))) (let ((_let_6 (or _let_1 _let_3))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time A B))) (tptp.once (tptp.at_the_same_time B A)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time (tptp.at A B) (tptp.at C B)))) (tptp.connect A C B))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.connect A B C)) (tptp.once (tptp.at_the_same_time (tptp.at A C) (tptp.at B C))))))) (let ((_let_10 (tptp.at tptp.sk28 tptp.sk29))) (let ((_let_11 (tptp.at tptp.sk27 tptp.sk29))) (let ((_let_12 (tptp.once (tptp.at_the_same_time _let_11 _let_10)))) (let ((_let_13 (tptp.once (tptp.at_the_same_time _let_10 _let_11)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (_let_7))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 (not _let_15))) (let ((_let_19 (or _let_4 _let_13))) (let ((_let_20 (_let_9))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((not (= (tptp.connect A B C) false))))) (let ((_let_23 (or _let_2 _let_12))) (let ((_let_24 (or _let_14 _let_3))) (let ((_let_25 (not _let_12))) (let ((_let_26 (or _let_25 _let_13))) (let ((_let_27 (_let_8))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 ((tptp.at_the_same_time A B)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_13 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_16)) _let_17 :args (_let_26 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_3 _let_14 (not _let_24)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.sk28 tptp.sk29 tptp.sk27 QUANTIFIERS_INST_E_MATCHING ((tptp.at_the_same_time (tptp.at A B) (tptp.at C B))))) :args _let_27)) _let_28 :args (_let_24 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_2 _let_12 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.sk27 tptp.sk28 tptp.sk29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_23 false _let_9)) (REORDERING (ASSUME :args (_let_5)) :args ((or _let_2 _let_4))) :args (_let_2 false _let_26 true _let_13 false _let_24 false _let_12 false _let_23 true _let_3)))) (let ((_let_31 (or _let_25 _let_1))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_10 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_12 _let_14 _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_1 _let_25 (not _let_31)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.sk27 tptp.sk29 tptp.sk28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.connect A C B) true))))) :args _let_27)) _let_28 :args (_let_31 false _let_8)) :args (_let_25 true _let_1 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_4 _let_13 (not _let_19)))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_6)) _let_30 :args (_let_3 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.sk28 tptp.sk27 tptp.sk29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_19 false _let_9)) :args (_let_13 false _let_3 false _let_19)) :args (_let_18 true _let_12 false _let_13)) _let_17 :args (false true _let_15 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.part_of A B)) (not (tptp.incident_c C A)) (tptp.incident_c C B))) (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.incident_c (tptp.ax0_sk1 A B) A) (tptp.part_of A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c (tptp.ax0_sk1 A B) B)) (tptp.part_of A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.incident_c D A)) (tptp.incident_c D B) (tptp.incident_c D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.incident_c D B)) (tptp.incident_c D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.incident_c D C)) (tptp.incident_c D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk2 A B C))) (or (tptp.incident_c _let_1 C) (tptp.incident_c _let_1 B) (tptp.incident_c _let_1 A) (= C (tptp.sum B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax0_sk2 A B C) C))) (or _let_1 (not _let_1) (= C (tptp.sum B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk2 A B C))) (let ((_let_2 (tptp.incident_c _let_1 B))) (or (not _let_2) _let_2 (tptp.incident_c _let_1 A) (= C (tptp.sum B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk2 A B C))) (let ((_let_2 (tptp.incident_c _let_1 A))) (or (not _let_2) (tptp.incident_c _let_1 B) _let_2 (= C (tptp.sum B A)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk2 A B C))) (or (not (tptp.incident_c _let_1 B)) (not (tptp.incident_c _let_1 C)) (= C (tptp.sum B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk2 A B C))) (or (not (tptp.incident_c _let_1 A)) (not (tptp.incident_c _let_1 C)) (= C (tptp.sum B A))))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (tptp.incident_c A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.end_point A B)) (not (tptp.part_of C B)) (not (tptp.part_of D B)) (not (tptp.incident_c A C)) (not (tptp.incident_c A D)) (tptp.part_of C D) (tptp.part_of D C))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.part_of (tptp.ax0_sk3 B A) B) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.part_of (tptp.ax0_sk4 B A) B) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.incident_c A (tptp.ax0_sk3 B A)) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.incident_c A (tptp.ax0_sk4 B A)) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.part_of (tptp.ax0_sk3 B A) (tptp.ax0_sk4 B A))) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.part_of (tptp.ax0_sk4 B A) (tptp.ax0_sk3 B A))) (tptp.end_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.inner_point A B)) (tptp.incident_c A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.inner_point A B)) (not (tptp.end_point A B)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A B)) (tptp.end_point A B) (tptp.inner_point A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.meet A B C)) (tptp.incident_c A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.meet A B C)) (tptp.incident_c A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.meet A B C)) (not (tptp.incident_c D B)) (not (tptp.incident_c D C)) (tptp.end_point D B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.meet A B C)) (not (tptp.incident_c D B)) (not (tptp.incident_c D C)) (tptp.end_point D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.incident_c A C)) (tptp.incident_c (tptp.ax0_sk5 C B A) B) (tptp.meet A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.incident_c A B)) (not (tptp.incident_c A C)) (tptp.incident_c (tptp.ax0_sk5 C B A) C) (tptp.meet A B C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.ax0_sk5 C B A))) (or (not (tptp.incident_c A B)) (not (tptp.incident_c A C)) (not (tptp.end_point _let_1 B)) (not (tptp.end_point _let_1 C)) (tptp.meet A B C)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.closed A)) (not (tptp.end_point B A)))) (forall ((A $$unsorted)) (or (tptp.end_point (tptp.ax0_sk6 A) A) (tptp.closed A))) (forall ((A $$unsorted)) (or (not (tptp.open A)) (tptp.end_point (tptp.ax0_sk7 A) A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (tptp.open B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.part_of A B)) (= A B) (tptp.open A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.part_of A B)) (not (tptp.part_of C B)) (not (tptp.part_of D B)) (not (tptp.end_point E A)) (not (tptp.end_point E C)) (not (tptp.end_point E D)) (tptp.part_of C D) (tptp.part_of D C) (tptp.part_of A C) (tptp.part_of C A) (tptp.part_of A D) (tptp.part_of D A))) (forall ((A $$unsorted)) (tptp.inner_point (tptp.ax0_sk8 A) A)) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.inner_point A B)) (tptp.meet A (tptp.ax0_sk9 A B) (tptp.ax0_sk10 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.inner_point A B)) (= B (tptp.sum (tptp.ax0_sk9 A B) (tptp.ax0_sk10 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.end_point A B)) (not (tptp.end_point C B)) (not (tptp.end_point D B)) (= A C) (= A D) (= C D))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (tptp.end_point (tptp.ax0_sk11 A B) B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.end_point A B)) (not (= A (tptp.ax0_sk11 A B))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.closed A)) (not (tptp.meet B C D)) (not (= A (tptp.sum C D))) (not (tptp.end_point E C)) (tptp.meet E C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.meet A B C)) (= (tptp.ax0_sk12 C B) (tptp.sum B C)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax0_sk13 A B))) (or (tptp.incident_c _let_1 B) (tptp.incident_c _let_1 A) (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax0_sk13 A B) B))) (or _let_1 (not _let_1) (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax0_sk13 A B) A))) (or (not _let_1) _let_1 (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax0_sk13 A B))) (or (not (tptp.incident_c _let_1 A)) (not (tptp.incident_c _let_1 B)) (= B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (not (= B D)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.part_of (tptp.ax1_sk1 D C B A) A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.end_point B (tptp.ax1_sk1 D C B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.end_point D (tptp.ax1_sk1 D C B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_c A B C D)) (tptp.inner_point C (tptp.ax1_sk1 D C B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (= A B) (not (tptp.part_of C D)) (not (tptp.end_point A C)) (not (tptp.end_point B C)) (not (tptp.inner_point E C)) (tptp.between_c D A E B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A B C) (tptp.ordered_by A D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A B C) (tptp.ordered_by A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A C D) (tptp.ordered_by A D C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.ordered_by A C D) (tptp.ordered_by A C B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ordered_by A B C)) (not (tptp.ordered_by A C D)) (tptp.between_o A B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ordered_by A B C)) (not (tptp.ordered_by A C D)) (tptp.between_o A D C B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.start_point A B)) (tptp.incident_o A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.start_point A B)) (= A C) (not (tptp.incident_o C B)) (tptp.ordered_by B A C))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (= A (tptp.ax2_sk1 B A))) (tptp.start_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (tptp.incident_o (tptp.ax2_sk1 B A) B) (tptp.start_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (tptp.ordered_by B A (tptp.ax2_sk1 B A))) (tptp.start_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.finish_point A B)) (tptp.incident_o A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.finish_point A B)) (= A C) (not (tptp.incident_o C B)) (tptp.ordered_by B C A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (= A (tptp.ax2_sk2 B A))) (tptp.finish_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (tptp.incident_o (tptp.ax2_sk2 B A) B) (tptp.finish_point A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (not (tptp.ordered_by B (tptp.ax2_sk2 B A) A)) (tptp.finish_point A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ordered_by A B C)) (tptp.incident_o B A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ordered_by A B C)) (tptp.incident_o C A))) (forall ((A $$unsorted)) (tptp.open (tptp.ax2_sk3 A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A B)) (tptp.incident_c A (tptp.ax2_sk3 B)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_c A (tptp.ax2_sk3 B))) (tptp.incident_o A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.between_o A B C D)) (not (tptp.incident_o E A)) (tptp.incident_c E (tptp.ax2_sk4 A D C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (or (not (tptp.between_o A B C D)) (not (tptp.incident_c E (tptp.ax2_sk4 A D C B))) (tptp.incident_o E A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.between_o A B C D)) (tptp.between_c (tptp.ax2_sk4 A D C B) B C D))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ax2_sk5 A B C D E))) (or (tptp.incident_o _let_1 B) (tptp.incident_c _let_1 A) (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.incident_o (tptp.ax2_sk5 A B C D E) B))) (or _let_1 (not _let_1) (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax2_sk5 A B C D E) A))) (or (not _let_1) _let_1 (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (let ((_let_1 (tptp.ax2_sk5 A B C D E))) (or (not (tptp.incident_c _let_1 A)) (not (tptp.incident_o _let_1 B)) (not (tptp.between_c A E D C)) (tptp.between_o B E D C)))) (forall ((A $$unsorted)) (tptp.start_point (tptp.ax2_sk6 A) A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.open A)) (= B C) (not (tptp.incident_c B A)) (not (tptp.incident_c C A)) (not (tptp.incident_o D (tptp.ax2_sk7 A C B))) (tptp.incident_c D A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.open A)) (= B C) (not (tptp.incident_c B A)) (not (tptp.incident_c C A)) (not (tptp.incident_c D A)) (tptp.incident_o D (tptp.ax2_sk7 A C B)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.open A)) (= B C) (not (tptp.incident_c B A)) (not (tptp.incident_c C A)) (tptp.ordered_by (tptp.ax2_sk7 A C B) B C))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk9 B A))) (let ((_let_2 (tptp.ax2_sk8 B A))) (or (tptp.ordered_by A _let_2 _let_1) (tptp.ordered_by B _let_2 _let_1) (= A B))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ordered_by A (tptp.ax2_sk8 B A) (tptp.ax2_sk9 B A)))) (or _let_1 (not _let_1) (= A B)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ordered_by A (tptp.ax2_sk8 A B) (tptp.ax2_sk9 A B)))) (or (not _let_1) _let_1 (= B A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk9 A B))) (let ((_let_2 (tptp.ax2_sk8 A B))) (or (not (tptp.ordered_by A _let_2 _let_1)) (not (tptp.ordered_by B _let_2 _let_1)) (= B A))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.underlying_curve B))) (not (tptp.incident_o C B)) (tptp.incident_c C A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.underlying_curve B))) (not (tptp.incident_c C A)) (tptp.incident_o C B))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk10 A B))) (or (tptp.incident_o _let_1 A) (tptp.incident_c _let_1 B) (= B (tptp.underlying_curve A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_o (tptp.ax2_sk10 A B) A))) (or _let_1 (not _let_1) (= B (tptp.underlying_curve A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.incident_c (tptp.ax2_sk10 A B) B))) (or (not _let_1) _let_1 (= B (tptp.underlying_curve A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.ax2_sk10 A B))) (or (not (tptp.incident_c _let_1 B)) (not (tptp.incident_o _let_1 A)) (= B (tptp.underlying_curve A))))) _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time A B))) (tptp.once (tptp.at_the_same_time B A)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time (tptp.at_the_same_time A B) C))) (tptp.once (tptp.at_the_same_time A (tptp.at_the_same_time B C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time A (tptp.at_the_same_time B C)))) (tptp.once (tptp.at_the_same_time (tptp.at_the_same_time A B) C)))) (forall ((A $$unsorted)) (or (not (tptp.once A)) (tptp.once (tptp.at_the_same_time A A)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time A B))) (tptp.once A))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time A B))) (tptp.once B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.once (tptp.at A B))) (tptp.incident_o B (tptp.trajectory_of A)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.incident_o A (tptp.trajectory_of B))) (tptp.once (tptp.at B A)))) (forall ((A $$unsorted)) (= (tptp.trajectory_of A) (tptp.ax3_sk1 A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.once (tptp.at_the_same_time (tptp.at A B) (tptp.at C D)))) (not (tptp.once (tptp.at_the_same_time (tptp.at A E) (tptp.at C F)))) (not (tptp.ordered_by (tptp.trajectory_of A) B E)) (not (tptp.ordered_by (tptp.trajectory_of C) F D)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.once A)) (tptp.once (tptp.at_the_same_time A (tptp.at B (tptp.ax3_sk2 B A)))))) _let_6 (or _let_1 _let_2) (or _let_4 _let_3) _let_5))))))))))))))))))))))))))))))))))
% 0.22/0.65  )
% 0.22/0.65  % SZS output end Proof for GEO146-1
% 0.22/0.65  % cvc5---1.0.5 exiting
% 0.22/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------