TSTP Solution File: GRP170-4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP170-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 : Thu Aug 31 00:24:57 EDT 2023
% Result : Unsatisfiable 0.14s 0.41s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP170-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.10 % Command : do_cvc5 %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Aug 28 23:15:01 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.14/0.37 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.37 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.L3Vz71MoPU/cvc5---1.0.5_2864.p...
% 0.14/0.38 ------- get file name : TPTP file name is GRP170-4
% 0.14/0.38 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2864.smt2...
% 0.14/0.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.41 % SZS status Unsatisfiable for GRP170-4
% 0.14/0.41 % SZS output start Proof for GRP170-4
% 0.14/0.41 (
% 0.14/0.41 (let ((_let_1 (tptp.multiply tptp.b tptp.d))) (let ((_let_2 (tptp.multiply tptp.a tptp.c))) (let ((_let_3 (tptp.least_upper_bound _let_2 _let_1))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.greatest_lower_bound tptp.c tptp.d))) (let ((_let_6 (= _let_5 tptp.c))) (let ((_let_7 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_8 (= _let_7 tptp.b))) (let ((_let_9 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_15 (= tptp.b _let_7))) (let ((_let_16 (= tptp.c _let_5))) (let ((_let_17 (= _let_1 _let_3))) (let ((_let_18 (tptp.multiply tptp.a tptp.d))) (let ((_let_19 (tptp.greatest_lower_bound _let_2 _let_18))) (let ((_let_20 (= (tptp.multiply tptp.a _let_5) _let_19))) (let ((_let_21 (tptp.least_upper_bound _let_18 _let_1))) (let ((_let_22 (= (tptp.multiply _let_7 tptp.d) _let_21))) (let ((_let_23 (tptp.greatest_lower_bound _let_18 _let_2))) (let ((_let_24 (= _let_19 _let_23))) (let ((_let_25 (= _let_21 (tptp.least_upper_bound _let_1 _let_18)))) (let ((_let_26 (tptp.least_upper_bound _let_2 _let_18))) (let ((_let_27 (tptp.least_upper_bound _let_26 _let_1))) (let ((_let_28 (= (tptp.least_upper_bound _let_2 _let_21) _let_27))) (let ((_let_29 (= _let_26 (tptp.least_upper_bound _let_18 _let_2)))) (let ((_let_30 (= _let_27 (tptp.least_upper_bound _let_1 _let_26)))) (let ((_let_31 (= _let_18 (tptp.least_upper_bound _let_18 _let_23)))) (let ((_let_32 (SYMM (ASSUME :args (_let_8))))) (let ((_let_33 (SYMM (ASSUME :args (_let_6))))) (let ((_let_34 (_let_10))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (_let_9))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_14))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_13))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.least_upper_bound X Y)))) (let ((_let_43 (_let_12))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (and _let_15 _let_16 _let_20 _let_22 _let_24 _let_25 _let_28 _let_29 _let_30 _let_31))) (let ((_let_48 (APPLY_UF tptp.least_upper_bound))) (let ((_let_49 (APPLY_UF tptp.multiply))) (let ((_let_50 (CONG (SYMM _let_32) (REFL :args (tptp.d)) :args _let_49))) (let ((_let_51 (ASSUME :args (_let_22)))) (let ((_let_52 (ASSUME :args (_let_28)))) (let ((_let_53 (ASSUME :args (_let_30)))) (let ((_let_54 (ASSUME :args (_let_29)))) (let ((_let_55 (ASSUME :args (_let_20)))) (let ((_let_56 (ASSUME :args (_let_24)))) (let ((_let_57 (ASSUME :args (_let_31)))) (let ((_let_58 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_32 _let_51 _let_52 _let_53 _let_54 _let_33 _let_55 _let_56 _let_57 _let_58) (SCOPE (TRANS (SYMM _let_50) _let_51 (SYMM (SYMM _let_58)) (CONG (REFL :args (_let_1)) (TRANS (SYMM (SYMM _let_57)) (CONG (REFL :args (_let_18)) (TRANS (SYMM _let_56) (SYMM _let_55) (CONG (REFL :args (tptp.a)) (SYMM _let_33) :args _let_49)) :args _let_48) (SYMM _let_54)) :args _let_48) (SYMM _let_53) (SYMM _let_52) (CONG (REFL :args (_let_2)) (TRANS (SYMM _let_51) _let_50) :args _let_48)) :args (_let_15 _let_22 _let_28 _let_30 _let_29 _let_16 _let_20 _let_24 _let_31 _let_25))) :args (_let_15 _let_16 _let_20 _let_22 _let_24 _let_25 _let_28 _let_29 _let_30 _let_31))) :args (true _let_47)) :args ((or _let_17 (not _let_15) (not _let_16) (not _let_20) (not _let_22) (not _let_24) (not _let_25) (not _let_28) (not _let_29) (not _let_30) (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_18 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_45))) _let_46 :args (_let_31 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_26 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_30 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_29 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_2 _let_18 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound X (tptp.least_upper_bound Y Z))))) :args _let_43)) _let_44 :args (_let_28 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_18 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_25 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args _let_38)) _let_39 :args (_let_24 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a tptp.b tptp.d QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_36)) _let_37 :args (_let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a tptp.c tptp.d QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_34)) _let_35 :args (_let_20 false _let_10)) (SYMM (ASSUME :args (_let_4))) _let_33 _let_32 :args (false false _let_31 false _let_30 false _let_29 false _let_28 false _let_25 false _let_24 false _let_22 false _let_20 true _let_17 false _let_16 false _let_15)) :args ((forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))) _let_12 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))) _let_10 _let_9 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))) _let_8 _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.41 )
% 0.14/0.41 % SZS output end Proof for GRP170-4
% 0.14/0.41 % cvc5---1.0.5 exiting
% 0.14/0.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------