TSTP Solution File: GEO179+2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 22:50:09 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 21:03:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.hKiKcbf7T5/cvc5---1.0.5_3653.p...
% 0.21/0.52 ------- get file name : TPTP file name is GEO179+2
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3653.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for GEO179+2
% 0.21/0.52 % SZS output start Proof for GEO179+2
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.line_connecting X Y))) (=> (and (tptp.distinct_points X Y) (tptp.apart_point_and_line Z _let_1)) (and (tptp.distinct_lines _let_1 (tptp.line_connecting Z X)) (tptp.distinct_lines _let_1 (tptp.line_connecting Z Y))))))))) (let ((_let_2 (forall ((X $$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 ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.distinct_points X Y) (=> (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y))))))) (let ((_let_4 (forall ((X $$unsorted)) (not (tptp.distinct_points X X))))) (let ((_let_5 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.distinct_lines _let_6 _let_5))) (let ((_let_8 (tptp.line_connecting SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (tptp.distinct_lines _let_6 _let_8))) (let ((_let_10 (and _let_9 _let_7))) (let ((_let_11 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_10))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (let ((_let_1 (tptp.line_connecting X Y))) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Z _let_1)) (and (tptp.distinct_lines _let_1 (tptp.line_connecting Z X)) (tptp.distinct_lines _let_1 (tptp.line_connecting Z Y)))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (or))) (let ((_let_20 (not _let_16))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args (_let_20))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_17)) :args _let_19)) _let_18 :args (_let_17 true _let_16)))) (let ((_let_22 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8))) (let ((_let_23 (or _let_12 _let_9 _let_22))) (let ((_let_24 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.apart_point_and_line X Y)) (tptp.distinct_lines Y Z) (tptp.apart_point_and_line X Z))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 ((not (= (tptp.apart_point_and_line X Y) false)) (not (= (tptp.distinct_lines Y Z) true))))) (let ((_let_28 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (and _let_29 _let_28))) (let ((_let_31 (not _let_22))) (let ((_let_32 (not _let_28))) (let ((_let_33 (or _let_32 _let_31 _let_30))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.distinct_points X Y)) (not (tptp.apart_point_and_line Z (tptp.line_connecting X Y))) (and (tptp.distinct_points Z X) (tptp.distinct_points Z Y)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((not (= (tptp.apart_point_and_line Z (tptp.line_connecting X Y)) false))))) (let ((_let_38 (not _let_30))) (let ((_let_39 (_let_4))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.distinct_points X X) false))))) :args _let_39)) _let_40 :args ((not _let_29) false _let_4)))) (let ((_let_42 (tptp.distinct_points SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (and _let_28 _let_42))) (let ((_let_44 (or _let_14 _let_12 _let_43))) (let ((_let_45 (REFL :args (_let_15)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_19)) :args ((or _let_11 _let_15))) _let_21 :args (_let_11 true _let_15)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_14 _let_12 _let_43 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_19)) :args ((or _let_13 _let_15))) _let_21 :args (_let_13 true _let_15)) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_44 false _let_34)) :args (_let_43 false _let_13 false _let_11 false _let_44)))) (let ((_let_48 (not _let_43))) (let ((_let_49 (tptp.apart_point_and_line SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_5))) (let ((_let_50 (or _let_12 _let_7 _let_49))) (let ((_let_51 (and _let_29 _let_42))) (let ((_let_52 (not _let_49))) (let ((_let_53 (not _let_42))) (let ((_let_54 (or _let_53 _let_52 _let_51))) (let ((_let_55 (not _let_51))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_12 _let_7 _let_49 (not _let_50)))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 _let_51 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_42 _let_48))) _let_47 :args (_let_42 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 0)) :args ((or _let_29 _let_55))) _let_41 :args (_let_55 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_54 false _let_34)) :args (_let_52 false _let_42 true _let_51 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 _let_5 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_26)) _let_25 :args (_let_50 false _let_24)) :args (_let_7 false _let_11 true _let_49 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_12 _let_9 _let_22 (not _let_23)))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 _let_30 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_28 _let_48))) _let_47 :args (_let_28 false _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_30 0)) :args ((or _let_29 _let_38))) _let_41 :args (_let_38 true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_31 false _let_28 true _let_30 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 _let_8 QUANTIFIERS_INST_E_MATCHING _let_27)) :args _let_26)) _let_25 :args (_let_23 false _let_24)) :args (_let_9 false _let_11 true _let_22 false _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 2)) _let_21 :args ((not _let_10) true _let_15)) :args (false false _let_7 false _let_9 true _let_10)) :args (_let_4 (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)))) _let_3 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (tptp.convergent_lines X Y) (=> (or (tptp.apart_point_and_line Z X) (tptp.apart_point_and_line Z Y)) (tptp.distinct_points Z (tptp.intersection_point X Y))))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (=> (and (tptp.distinct_points X Y) (tptp.distinct_lines U V)) (or (tptp.apart_point_and_line X U) (tptp.apart_point_and_line X V) (tptp.apart_point_and_line Y U) (tptp.apart_point_and_line Y V)))) (forall ((X $$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)))) _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.convergent_lines X Y) (tptp.distinct_lines X Y))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for GEO179+2
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------