TSTP Solution File: GRP169-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP169-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Thu Aug 31 00:24:55 EDT 2023
% Result : Unsatisfiable 51.47s 51.72s
% Output : Proof 51.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.16 % Problem : GRP169-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.16 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n028.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon Aug 28 22:08:40 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fbhMogDAlk/cvc5---1.0.5_21757.p...
% 0.23/0.52 ------- get file name : TPTP file name is GRP169-1
% 0.23/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21757.smt2...
% 0.23/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.68/10.88 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.71/15.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.71/20.96 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.76/26.01 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.89/31.11 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.94/36.19 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.96/41.27 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.11/46.35 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.13/51.43 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 51.47/51.72 % SZS status Unsatisfiable for GRP169-1
% 51.47/51.72 % SZS output start Proof for GRP169-1
% 51.47/51.72 (
% 51.47/51.72 (let ((_let_1 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (tptp.inverse tptp.b))) (let ((_let_4 (tptp.inverse tptp.a))) (let ((_let_5 (tptp.least_upper_bound _let_4 _let_3))) (let ((_let_6 (= _let_5 _let_3))) (let ((_let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_8 (forall ((X $$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 ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_13 (= _let_3 _let_5))) (let ((_let_14 (= tptp.a _let_1))) (let ((_let_15 (tptp.multiply _let_4 tptp.a))) (let ((_let_16 (= tptp.identity _let_15))) (let ((_let_17 (tptp.multiply _let_3 tptp.b))) (let ((_let_18 (= tptp.identity _let_17))) (let ((_let_19 (tptp.least_upper_bound _let_3 _let_4))) (let ((_let_20 (= _let_5 _let_19))) (let ((_let_21 (tptp.multiply _let_4 tptp.b))) (let ((_let_22 (= (tptp.multiply _let_19 tptp.b) (tptp.least_upper_bound _let_17 _let_21)))) (let ((_let_23 (tptp.multiply tptp.identity tptp.a))) (let ((_let_24 (= tptp.a _let_23))) (let ((_let_25 (tptp.multiply _let_4 _let_1))) (let ((_let_26 (= _let_25 (tptp.least_upper_bound _let_15 _let_21)))) (let ((_let_27 (tptp.multiply tptp.identity tptp.b))) (let ((_let_28 (= tptp.b _let_27))) (let ((_let_29 (tptp.inverse _let_4))) (let ((_let_30 (tptp.multiply _let_29 _let_4))) (let ((_let_31 (= tptp.identity _let_30))) (let ((_let_32 (= (tptp.multiply tptp.identity _let_1) (tptp.least_upper_bound _let_23 _let_27)))) (let ((_let_33 (= (tptp.multiply _let_30 tptp.a) (tptp.multiply _let_29 _let_15)))) (let ((_let_34 (= (tptp.multiply _let_30 _let_1) (tptp.multiply _let_29 _let_25)))) (let ((_let_35 (SYMM (ASSUME :args (_let_6))))) (let ((_let_36 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((tptp.inverse X)))) (let ((_let_40 (_let_9))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (_let_7))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (_let_8))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (_let_10))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_52 (and _let_13 _let_16 _let_18 _let_20 _let_22 _let_24 _let_26 _let_28 _let_31 _let_32 _let_33 _let_34))) (let ((_let_53 (APPLY_UF tptp.least_upper_bound))) (let ((_let_54 (ASSUME :args (_let_28)))) (let ((_let_55 (ASSUME :args (_let_24)))) (let ((_let_56 (ASSUME :args (_let_32)))) (let ((_let_57 (APPLY_UF tptp.multiply))) (let ((_let_58 (ASSUME :args (_let_31)))) (let ((_let_59 (ASSUME :args (_let_34)))) (let ((_let_60 (ASSUME :args (_let_26)))) (let ((_let_61 (ASSUME :args (_let_16)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (ASSUME :args (_let_18)))) (let ((_let_64 (ASSUME :args (_let_22)))) (let ((_let_65 (ASSUME :args (_let_20)))) (let ((_let_66 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_54 _let_56 _let_58 _let_59 _let_60 _let_61 _let_63 _let_64 _let_65 _let_35 _let_66) (SCOPE (TRANS _let_55 (CONG _let_58 (REFL :args (tptp.a)) :args _let_57) (SYMM (SYMM _let_66)) (CONG (REFL :args (_let_29)) (TRANS _let_62 _let_63 (CONG (TRANS (SYMM (SYMM _let_35)) (SYMM (SYMM _let_65))) (REFL :args (tptp.b)) :args _let_57) (SYMM (SYMM _let_64)) (CONG (TRANS (SYMM _let_63) (SYMM _let_62)) (REFL :args (_let_21)) :args _let_53) (SYMM _let_60)) :args _let_57) (SYMM _let_59) (CONG (SYMM _let_58) (REFL :args (_let_1)) :args _let_57) (SYMM (SYMM _let_56)) (CONG (SYMM _let_55) (SYMM _let_54) :args _let_53)) :args (_let_24 _let_28 _let_32 _let_31 _let_34 _let_26 _let_16 _let_18 _let_22 _let_20 _let_13 _let_33))) :args (_let_13 _let_16 _let_18 _let_20 _let_22 _let_24 _let_26 _let_28 _let_31 _let_32 _let_33 _let_34))) :args (true _let_52)) :args ((or _let_14 (not _let_13) (not _let_16) (not _let_18) (not _let_20) (not _let_22) (not _let_24) (not _let_26) (not _let_28) (not _let_31) (not _let_32) (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_29 _let_4 _let_1 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_34 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_29 _let_4 tptp.a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.identity tptp.a tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_47)) _let_48 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_37 :args (_let_31 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_28 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_4 tptp.a tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_47)) _let_48 :args (_let_26 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_24 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_3 _let_4 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_42)) _let_43 :args (_let_22 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args _let_40)) _let_41 :args (_let_20 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_18 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_16 false _let_36)) (SYMM (ASSUME :args (_let_2))) _let_35 :args (false false _let_34 false _let_33 false _let_32 false _let_31 false _let_28 false _let_26 false _let_24 false _let_22 false _let_20 false _let_18 false _let_16 true _let_14 false _let_13)) :args (_let_12 _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_9 (forall ((X $$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))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)) _let_8 (forall ((X $$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_7 (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_6 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 51.47/51.72 )
% 51.47/51.72 % SZS output end Proof for GRP169-1
% 51.47/51.72 % cvc5---1.0.5 exiting
% 51.47/51.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------