TSTP Solution File: GEO198+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO198+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 22:50:23 EDT 2023
% Result : Theorem 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO198+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n004.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 21:51:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.U0iD5EkY63/cvc5---1.0.5_11636.p...
% 0.21/0.57 ------- get file name : TPTP file name is GEO198+2
% 0.21/0.57 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11636.smt2...
% 0.21/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Theorem for GEO198+2
% 0.21/0.57 % SZS output start Proof for GEO198+2
% 0.21/0.57 (
% 0.21/0.57 (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.convergent_lines X Y) (tptp.convergent_lines Z Y) (tptp.convergent_lines X Z) (not (tptp.apart_point_and_line (tptp.intersection_point X Y) Z))) (not (tptp.apart_point_and_line (tptp.intersection_point X Z) Y))))))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (tptp.distinct_lines X Y))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.distinct_points X Y) (tptp.distinct_lines U V)) (or (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V)))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (=> (or (tptp.apart_point_and_line Z X) (tptp.apart_point_and_line Z Y)) (tptp.distinct_points Z (tptp.intersection_point X Y))))))) (let ((_let_5 (forall ((X $$unsorted)) (not (tptp.distinct_points X X))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.distinct_lines U V)) (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V))))) (let ((_let_7 (tptp.intersection_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.apart_point_and_line _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.apart_point_and_line _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.intersection_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.distinct_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.distinct_points _let_10 _let_7))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_12 _let_11 _let_9 _let_8))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (tptp.apart_point_and_line _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_12))) (let ((_let_23 (and _let_22 _let_21))) (let ((_let_24 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_15))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.convergent_lines X Y)) (and (not (tptp.apart_point_and_line Z X)) (not (tptp.apart_point_and_line Z Y))) (tptp.distinct_points Z (tptp.intersection_point X Y)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 (not _let_23))) (let ((_let_31 (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_25 (not (tptp.convergent_lines SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_32 _let_8 _let_21))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.convergent_lines X Y)) (not (tptp.convergent_lines Z Y)) (not (tptp.convergent_lines X Z)) (tptp.apart_point_and_line (tptp.intersection_point X Y) Z) (not (tptp.apart_point_and_line (tptp.intersection_point X Z) Y)))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (or))) (let ((_let_38 (not _let_34))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_36) :args (_let_38))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_34))) (REFL :args (_let_35)) :args _let_37)) _let_36 :args (_let_35 true _let_34)))) (let ((_let_40 (REFL :args (_let_33)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_37)) :args ((or _let_24 _let_33))) _let_39 :args (_let_24 true _let_33)))) (let ((_let_42 (not _let_11))) (let ((_let_43 (and _let_22 _let_42))) (let ((_let_44 (tptp.distinct_points _let_10 _let_10))) (let ((_let_45 (or _let_32 _let_43 _let_44))) (let ((_let_46 ((not (= (tptp.distinct_points Z (tptp.intersection_point X Y)) true))))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 2)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_37)) :args ((or _let_31 _let_33))) _let_39 :args (_let_31 true _let_33)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_32 _let_44 _let_43 (not _let_45)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_points X X) false))))) :args _let_47)) _let_48 :args ((not _let_44) false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_29)) _let_28 :args (_let_45 false _let_27)) :args (_let_43 false _let_31 true _let_44 false _let_45)))) (let ((_let_51 (not _let_43))) (let ((_let_52 (not _let_9))) (let ((_let_53 (and _let_52 (not (tptp.apart_point_and_line _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_54 (tptp.distinct_points _let_7 _let_7))) (let ((_let_55 (or _let_25 _let_53 _let_54))) (let ((_let_56 (or _let_32 _let_13))) (let ((_let_57 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.convergent_lines X Y)) (tptp.distinct_lines X Y))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_10 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.distinct_lines U V) false)) (not (= (tptp.apart_point_and_line X U) true)) (not (= (tptp.apart_point_and_line Y U) true))))) :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_8 _let_14 _let_9 _let_12 _let_11 _let_16 _let_19))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_33 3)) _let_39 :args ((not _let_8) true _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_32 _let_13 (not _let_56)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.convergent_lines X Y) false))))) :args (_let_57))) _let_58 :args (_let_56 false _let_57)) :args (_let_13 false _let_31 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_53 0)) :args ((or _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_25 _let_54 _let_53 (not _let_55)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_7 QUANTIFIERS_INST_ENUM)) :args _let_47)) _let_48 :args ((not _let_54) false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_29)) _let_28 :args (_let_55 false _let_27)) :args (_let_53 false _let_24 true _let_54 false _let_55)) :args (_let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_22 _let_51))) _let_50 :args (_let_22 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_42 _let_51))) _let_50 :args (_let_42 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_15 (not _let_26)))) _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_21 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 4)) (CONG _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_37)) :args ((or _let_20 _let_33))) _let_39 :args (_let_20 true _let_33)) :args (_let_30 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.convergent_lines X Y) false)) (tptp.apart_point_and_line Z X)))) :args _let_29)) _let_28 :args (_let_26 false _let_27)) :args (_let_15 false _let_24 true _let_23 false _let_26)) :args (_let_19 true _let_8 false _let_13 true _let_9 true _let_12 true _let_11 false _let_15)) _let_18 :args (false true _let_17 false _let_6)) :args (_let_5 (forall ((X $$unsorted)) (not (tptp.distinct_lines X X))) (forall ((X $$unsorted)) (not (tptp.convergent_lines X X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (or (tptp.distinct_points X Z) (tptp.distinct_points Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_lines X Y) (or (tptp.distinct_lines X Z) (tptp.distinct_lines Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (or (tptp.convergent_lines X Z) (tptp.convergent_lines Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (=> (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y))))) _let_4 _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.apart_point_and_line X Y) (or (tptp.distinct_points X Z) (tptp.apart_point_and_line Z Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.apart_point_and_line X Y) (or (tptp.distinct_lines Y Z) (tptp.apart_point_and_line X Z)))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.57 )
% 0.21/0.57 % SZS output end Proof for GEO198+2
% 0.21/0.57 % cvc5---1.0.5 exiting
% 0.21/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------