TSTP Solution File: GEO125+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 22:49:51 EDT 2023
% Result : Theorem 0.21s 0.64s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO125+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n005.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 19:56:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.64 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AVOhMPCmM3/cvc5---1.0.5_19007.p...
% 0.21/0.64 ------- get file name : TPTP file name is GEO125+1
% 0.21/0.64 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19007.smt2...
% 0.21/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.64 % SZS status Theorem for GEO125+1
% 0.21/0.64 % SZS output start Proof for GEO125+1
% 0.21/0.64 (
% 0.21/0.64 (let ((_let_1 (not (forall ((O $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (and (tptp.finish_point P O) (tptp.finish_point Q O)) (= P Q)))))) (let ((_let_2 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted) (O $$unsorted)) (= (tptp.between_o O P Q R) (exists ((C $$unsorted)) (and (forall ((P $$unsorted)) (= (tptp.incident_o P O) (tptp.incident_c P C))) (tptp.between_c C P Q R))))))) (let ((_let_3 (forall ((P $$unsorted) (O $$unsorted)) (= (tptp.finish_point P O) (and (tptp.incident_o P O) (forall ((Q $$unsorted)) (=> (and (not (= P Q)) (tptp.incident_o Q O)) (tptp.ordered_by O Q P)))))))) (let ((_let_4 (forall ((O $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.between_o O P Q R) (or (and (tptp.ordered_by O P Q) (tptp.ordered_by O Q R)) (and (tptp.ordered_by O R Q) (tptp.ordered_by O Q P))))))) (let ((_let_5 (forall ((C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.between_c C P Q R) (and (not (= P R)) (exists ((Cpp $$unsorted)) (and (tptp.part_of Cpp C) (tptp.end_point P Cpp) (tptp.end_point R Cpp) (tptp.inner_point Q Cpp)))))))) (let ((_let_6 (forall ((C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.between_c C P Q R) (and (not (= P R)) (not (forall ((Cpp $$unsorted)) (or (not (tptp.part_of Cpp C)) (not (tptp.end_point P Cpp)) (not (tptp.end_point R Cpp)) (not (tptp.inner_point Q Cpp)))))))))) (let ((_let_7 (tptp.between_c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_9 (not _let_7))) (let ((_let_10 (or (not (forall ((P $$unsorted)) (= (tptp.incident_o P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))) _let_9))) (let ((_let_11 (forall ((C $$unsorted)) (or (not (forall ((P $$unsorted)) (= (tptp.incident_c P C) (tptp.incident_o P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (not (tptp.between_c C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (not _let_11))) (let ((_let_14 (tptp.between_o SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted) (O $$unsorted)) (= (tptp.between_o O P Q R) (not (forall ((C $$unsorted)) (or (not (forall ((P $$unsorted)) (= (tptp.incident_o P O) (tptp.incident_c P C)))) (not (tptp.between_c C P Q R))))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.ordered_by SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.ordered_by SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (and _let_19 _let_18))) (let ((_let_21 (= _let_14 _let_20))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (tptp.incident_o SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (not _let_24))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (or _let_26 _let_25 _let_19))) (let ((_let_28 (forall ((Q $$unsorted)) (or (= Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not (tptp.incident_o Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.ordered_by SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_29 (tptp.incident_o SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (and _let_29 _let_28))) (let ((_let_31 (tptp.finish_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (forall ((P $$unsorted) (O $$unsorted)) (= (tptp.finish_point P O) (and (tptp.incident_o P O) (forall ((Q $$unsorted)) (or (= P Q) (not (tptp.incident_o Q O)) (tptp.ordered_by O Q P)))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 ((tptp.finish_point P O)))) (let ((_let_37 (not _let_31))) (let ((_let_38 (tptp.finish_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_26))) (let ((_let_41 (forall ((O $$unsorted) (P $$unsorted) (Q $$unsorted)) (or (not (tptp.finish_point P O)) (not (tptp.finish_point Q O)) (= P Q))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (or))) (let ((_let_45 (not _let_41))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_43) :args (_let_45))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_41))) (REFL :args (_let_42)) :args _let_44)) _let_43 :args (_let_42 true _let_41)))) (let ((_let_47 (REFL :args (_let_40)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_32)) :args ((or _let_37 _let_30 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_31))) :args _let_44)) :args ((or _let_31 _let_40))) _let_46 :args (_let_31 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_35))) _let_34 :args (_let_32 false _let_33)) :args (_let_30 false _let_31 false _let_32)))) (let ((_let_49 (not _let_30))) (let ((_let_50 (_let_28))) (let ((_let_51 ((not (= (tptp.incident_o Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_52 (forall ((Q $$unsorted)) (or (= Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (not (tptp.incident_o Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.ordered_by SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_53 (and _let_24 _let_52))) (let ((_let_54 (= _let_38 _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_54)) :args ((or _let_39 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 0)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_44)) :args ((or _let_38 _let_40))) _let_46 :args (_let_38 true _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_36)) :args _let_35))) _let_34 :args (_let_54 false _let_33)) :args (_let_53 false _let_38 false _let_54)))) (let ((_let_56 (not _let_53))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_40 2)) _let_46 :args ((not _let_26) true _let_40)))) (let ((_let_58 (not _let_29))) (let ((_let_59 (or _let_26 _let_58 _let_18))) (let ((_let_60 (_let_52))) (let ((_let_61 (_let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.between_c C P Q R)))) :args (_let_6)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG (REFL :args (_let_10)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_7))) :args _let_44)) :args ((or _let_7 _let_10))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61) (REWRITE :args ((=> _let_13 (not (or (not (forall ((P $$unsorted)) (= (tptp.incident_c P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) (tptp.incident_o P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) _let_9))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_11))) (REFL :args (_let_12)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or (not _let_14) _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_21)) :args ((or _let_14 (not _let_20) (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_20)) :args ((or (not _let_18) (not _let_19) _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_26 _let_58 _let_18 (not _let_59)))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 0)) :args ((or _let_29 _let_49))) _let_48 :args (_let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_52 _let_56))) _let_55 :args (_let_52 false _let_53)) :args (_let_59 false _let_52)) :args (_let_18 true _let_26 false _let_29 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_19 (not _let_27)))) _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_24 _let_56))) _let_55 :args (_let_24 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_28 _let_49))) _let_48 :args (_let_28 false _let_30)) :args (_let_27 false _let_28)) :args (_let_19 true _let_26 false _let_24 false _let_27)) :args (_let_20 false _let_18 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.ordered_by O Q R) (tptp.ordered_by O P Q)))) :args _let_22))) _let_23 :args (_let_21 false _let_4)) :args (_let_14 false _let_20 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.between_o O P Q R)))) :args (_let_16)))) _let_17 :args (_let_15 false _let_16)) :args (_let_13 false _let_14 false _let_15)) :args (_let_12 true _let_11)) :args (_let_7 true _let_10)) _let_8 :args (false false _let_7 false _let_6)) :args ((forall ((C $$unsorted) (C1 $$unsorted)) (= (tptp.part_of C1 C) (forall ((P $$unsorted)) (=> (tptp.incident_c P C1) (tptp.incident_c P C))))) (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted)) (= (= C (tptp.sum C1 C2)) (forall ((Q $$unsorted)) (= (tptp.incident_c Q C) (or (tptp.incident_c Q C1) (tptp.incident_c Q C2)))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.end_point P C) (and (tptp.incident_c P C) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.incident_c P C1) (tptp.incident_c P C2)) (or (tptp.part_of C1 C2) (tptp.part_of C2 C1))))))) (forall ((P $$unsorted) (C $$unsorted)) (= (tptp.inner_point P C) (and (tptp.incident_c P C) (not (tptp.end_point P C))))) (forall ((P $$unsorted) (C $$unsorted) (C1 $$unsorted)) (= (tptp.meet P C C1) (and (tptp.incident_c P C) (tptp.incident_c P C1) (forall ((Q $$unsorted)) (=> (and (tptp.incident_c Q C) (tptp.incident_c Q C1)) (and (tptp.end_point Q C) (tptp.end_point Q C1))))))) (forall ((C $$unsorted)) (= (tptp.closed C) (not (exists ((P $$unsorted)) (tptp.end_point P C))))) (forall ((C $$unsorted)) (= (tptp.open C) (exists ((P $$unsorted)) (tptp.end_point P C)))) (forall ((C $$unsorted) (C1 $$unsorted)) (=> (and (tptp.part_of C1 C) (not (= C1 C))) (tptp.open C1))) (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (C3 $$unsorted)) (=> (and (tptp.part_of C1 C) (tptp.part_of C2 C) (tptp.part_of C3 C) (exists ((P $$unsorted)) (and (tptp.end_point P C1) (tptp.end_point P C2) (tptp.end_point P C3)))) (or (tptp.part_of C2 C3) (tptp.part_of C3 C2) (tptp.part_of C1 C2) (tptp.part_of C2 C1) (tptp.part_of C1 C3) (tptp.part_of C3 C1)))) (forall ((C $$unsorted)) (exists ((P $$unsorted)) (tptp.inner_point P C))) (forall ((C $$unsorted) (P $$unsorted)) (=> (tptp.inner_point P C) (exists ((C1 $$unsorted) (C2 $$unsorted)) (and (tptp.meet P C1 C2) (= C (tptp.sum C1 C2)))))) (forall ((C $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (=> (and (tptp.end_point P C) (tptp.end_point Q C) (tptp.end_point R C)) (or (= P Q) (= P R) (= Q R)))) (forall ((C $$unsorted) (P $$unsorted)) (=> (tptp.end_point P C) (exists ((Q $$unsorted)) (and (tptp.end_point Q C) (not (= P Q)))))) (forall ((C $$unsorted) (C1 $$unsorted) (C2 $$unsorted) (P $$unsorted)) (=> (and (tptp.closed C) (tptp.meet P C1 C2) (= C (tptp.sum C1 C2))) (forall ((Q $$unsorted)) (=> (tptp.end_point Q C1) (tptp.meet Q C1 C2))))) (forall ((C1 $$unsorted) (C2 $$unsorted)) (=> (exists ((P $$unsorted)) (tptp.meet P C1 C2)) (exists ((C $$unsorted)) (= C (tptp.sum C1 C2))))) (forall ((C $$unsorted) (C1 $$unsorted)) (=> (forall ((P $$unsorted)) (= (tptp.incident_c P C) (tptp.incident_c P C1))) (= C C1))) _let_5 _let_4 (forall ((P $$unsorted) (O $$unsorted)) (= (tptp.start_point P O) (and (tptp.incident_o P O) (forall ((Q $$unsorted)) (=> (and (not (= P Q)) (tptp.incident_o Q O)) (tptp.ordered_by O P Q)))))) _let_3 (forall ((O $$unsorted) (P $$unsorted) (Q $$unsorted)) (=> (tptp.ordered_by O P Q) (and (tptp.incident_o P O) (tptp.incident_o Q O)))) (forall ((O $$unsorted)) (exists ((C $$unsorted)) (and (tptp.open C) (forall ((P $$unsorted)) (= (tptp.incident_o P O) (tptp.incident_c P C)))))) _let_2 (forall ((O $$unsorted)) (exists ((P $$unsorted)) (tptp.start_point P O))) (forall ((P $$unsorted) (Q $$unsorted) (C $$unsorted)) (=> (and (tptp.open C) (not (= P Q)) (tptp.incident_c P C) (tptp.incident_c Q C)) (exists ((O $$unsorted)) (and (forall ((R $$unsorted)) (= (tptp.incident_o R O) (tptp.incident_c R C))) (tptp.ordered_by O P Q))))) (forall ((O1 $$unsorted) (O2 $$unsorted)) (=> (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.ordered_by O1 P Q) (tptp.ordered_by O2 P Q))) (= O1 O2))) (forall ((C $$unsorted) (O $$unsorted)) (= (= C (tptp.underlying_curve O)) (forall ((P $$unsorted)) (= (tptp.incident_o P O) (tptp.incident_c P C))))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.65 )
% 0.21/0.65 % SZS output end Proof for GEO125+1
% 0.21/0.65 % cvc5---1.0.5 exiting
% 0.21/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------