TSTP Solution File: GEO268+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 22:50:58 EDT 2023
% Result : Theorem 0.21s 0.62s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO268+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n028.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 23:11:26 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.62 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ItZqdwgNm4/cvc5---1.0.5_30317.p...
% 0.21/0.62 ------- get file name : TPTP file name is GEO268+3
% 0.21/0.62 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30317.smt2...
% 0.21/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.62 % SZS status Theorem for GEO268+3
% 0.21/0.62 % SZS output start Proof for GEO268+3
% 0.21/0.62 (
% 0.21/0.62 (let ((_let_1 (forall ((L $$unsorted) (M $$unsorted)) (= (tptp.unequally_directed_lines L M) (tptp.unequally_directed_opposite_lines L (tptp.reverse_line M)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((L $$unsorted) (M $$unsorted)) (not (or (tptp.left_convergent_lines L M) (tptp.left_convergent_lines L (tptp.reverse_line M))))))) (let ((_let_4 (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_5 (forall ((L $$unsorted) (M $$unsorted)) (or (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M)))))) (let ((_let_6 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (=> (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_lines L (tptp.reverse_line M))) (or (and (tptp.unequally_directed_lines L N) (tptp.unequally_directed_lines L _let_1)) (and (tptp.unequally_directed_lines M N) (tptp.unequally_directed_lines M _let_1)))))))) (let ((_let_7 (forall ((L $$unsorted)) (tptp.equally_directed_lines L L)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.equally_directed_lines X Y) (not (tptp.unequally_directed_lines X Y)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.unequally_directed_opposite_lines X Y) (tptp.unequally_directed_lines X (tptp.reverse_line Y)))))) (let ((_let_10 (tptp.reverse_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.reverse_line _let_10)))) (let ((_let_12 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_13 (or _let_12 _let_11))) (let ((_let_14 (_let_5))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 ((not (= (tptp.unequally_directed_lines L (tptp.reverse_line M)) true))))) (let ((_let_17 (tptp.left_convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_18 (tptp.left_convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (not _let_12))) (let ((_let_20 (tptp.unequally_directed_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_18 _let_17))) (let ((_let_23 (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_24 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (forall ((BOUND_VARIABLE_1027 $$unsorted) (BOUND_VARIABLE_1029 $$unsorted)) (not (tptp.left_convergent_lines BOUND_VARIABLE_1027 BOUND_VARIABLE_1029))))) (let ((_let_26 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args (0)))) (let ((_let_27 (_let_25))) (let ((_let_28 ((not (= (tptp.left_convergent_lines BOUND_VARIABLE_1027 BOUND_VARIABLE_1029) false))))) (let ((_let_29 (ASSUME :args _let_27))) (let ((_let_30 (tptp.unequally_directed_opposite_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_31 (= _let_20 _let_30))) (let ((_let_32 (or _let_20 _let_12))) (let ((_let_33 (and _let_20 _let_12))) (let ((_let_34 (= _let_30 _let_11))) (let ((_let_35 (tptp.unequally_directed_lines _let_10 _let_10))) (let ((_let_36 (and (tptp.unequally_directed_lines _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_35))) (let ((_let_37 (not _let_11))) (let ((_let_38 (or _let_19 _let_37 _let_33 _let_36))) (let ((_let_39 (not _let_31))) (let ((_let_40 (_let_2))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_39)) :args (or))) _let_41 :args (_let_39 true _let_1)))) (let ((_let_43 (_let_31))) (let ((_let_44 (_let_9))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.unequally_directed_opposite_lines X Y)))) :args _let_44)) _let_45 :args (_let_34 false _let_9)))) (let ((_let_47 (not _let_34))) (let ((_let_48 (not _let_30))) (let ((_let_49 (_let_34))) (let ((_let_50 (not _let_36))) (let ((_let_51 (tptp.equally_directed_lines _let_10 _let_10))) (let ((_let_52 (not _let_35))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (_let_8))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (_let_7))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (forall ((L $$unsorted) (M $$unsorted) (N $$unsorted)) (let ((_let_1 (tptp.reverse_line N))) (or (not (tptp.unequally_directed_lines L M)) (not (tptp.unequally_directed_lines L (tptp.reverse_line M))) (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))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_19 _let_36 _let_33 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.unequally_directed_lines L (tptp.reverse_line N)) (tptp.reverse_line M)))) :args (_let_58))) _let_59 :args (_let_38 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_35 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_53)) :args ((or _let_52 (not _let_51) (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equally_directed_lines L L) true))))) :args _let_56)) _let_57 :args (_let_51 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_10 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.unequally_directed_lines X Y)))) :args _let_54))) _let_55 :args (_let_53 false _let_8)) :args (_let_52 false _let_51 false _let_53)) :args (_let_50 true _let_35)) (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or _let_48 _let_11 _let_47))) _let_46 (REORDERING (CNF_AND_POS :args (_let_33 0)) :args ((or _let_20 (not _let_33)))) (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_20 _let_12 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_32 false _let_5)) (REORDERING (CNF_EQUIV_NEG1 :args _let_43) :args ((or _let_20 _let_30 _let_31))) _let_42 :args (_let_20 false _let_38 true _let_36 false _let_11 false _let_34 true _let_33 false _let_12 false _let_32 false _let_30 true _let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_11 _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_49) :args ((or _let_30 _let_37 _let_47))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_43) _let_42 _let_60 :args (_let_48 true _let_31 false _let_20)) _let_46 :args (_let_37 true _let_30 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_18 _let_17 (not _let_22)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args ((not _let_18) false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args ((not _let_17) false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.unequally_directed_lines L (tptp.reverse_line M)) false))))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_19 false _let_20 true _let_18 true _let_17 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_16)) :args _let_14)) _let_15 :args (_let_13 false _let_5)) :args (false true _let_11 true _let_12 false _let_13)) :args (_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.right_apart_point X Y) (tptp.left_apart_point X (tptp.reverse_line Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.right_convergent_lines X Y) (tptp.left_convergent_lines X (tptp.reverse_line Y)))) _let_8 (forall ((X $$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 $$unsorted)) (= (tptp.convergent_lines L M) (and (tptp.unequally_directed_lines L M) (tptp.unequally_directed_opposite_lines L M)))) (forall ((A $$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))))) (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 $$unsorted)) (=> (tptp.distinct_lines L M) (or (tptp.distinct_lines L N) (tptp.distinct_lines M N)))) _let_7 (forall ((L $$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_6 _let_5 _let_4 (forall ((A $$unsorted) (L $$unsorted)) (not (or (tptp.left_apart_point A L) (tptp.left_apart_point A (tptp.reverse_line L))))) _let_3 (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_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.62 )
% 0.21/0.62 % SZS output end Proof for GEO268+3
% 0.21/0.62 % cvc5---1.0.5 exiting
% 0.21/0.62 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------