TSTP Solution File: GRP186-3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 00:25:05 EDT 2023
% Result : Unsatisfiable 20.66s 21.56s
% Output : Proof 20.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP186-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 19:34:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nBp2OkOvc3/cvc5---1.0.5_5402.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP186-3
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5402.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.56/10.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.58/15.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.60/20.82 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.66/21.56 % SZS status Unsatisfiable for GRP186-3
% 20.66/21.56 % SZS output start Proof for GRP186-3
% 20.66/21.56 (
% 20.66/21.56 (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.least_upper_bound _let_1 tptp.b))) (let ((_let_3 (tptp.multiply tptp.a tptp.b))) (let ((_let_4 (= (tptp.least_upper_bound _let_3 tptp.identity) (tptp.multiply tptp.a _let_2)))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.b) tptp.b)))) (let ((_let_12 (= tptp.b (tptp.multiply tptp.identity tptp.b)))) (let ((_let_13 (tptp.least_upper_bound tptp.b _let_1))) (let ((_let_14 (= _let_2 _let_13))) (let ((_let_15 (tptp.multiply tptp.identity _let_2))) (let ((_let_16 (= _let_2 _let_15))) (let ((_let_17 (tptp.inverse _let_1))) (let ((_let_18 (tptp.multiply _let_17 _let_1))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.multiply _let_1 _let_3))) (let ((_let_21 (= (tptp.multiply _let_18 _let_3) (tptp.multiply _let_17 _let_20)))) (let ((_let_22 (= (tptp.multiply _let_17 _let_13) (tptp.least_upper_bound (tptp.multiply _let_17 tptp.b) _let_18)))) (let ((_let_23 (= (tptp.multiply (tptp.multiply _let_17 tptp.identity) _let_2) (tptp.multiply _let_17 _let_15)))) (let ((_let_24 (= _let_3 (tptp.multiply tptp.identity _let_3)))) (let ((_let_25 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_26 (tptp.multiply _let_1 tptp.a))) (let ((_let_27 (= tptp.identity _let_26))) (let ((_let_28 (= _let_20 (tptp.multiply _let_26 tptp.b)))) (let ((_let_29 (= (tptp.multiply _let_18 tptp.a) (tptp.multiply _let_17 _let_26)))) (let ((_let_30 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 (_let_7))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_8))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_6))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.a QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_43 (and _let_11 _let_12 _let_14 _let_16 _let_19 _let_24 _let_21 _let_22 _let_23 _let_25 _let_27 _let_28 _let_29))) (let ((_let_44 (APPLY_UF tptp.multiply))) (let ((_let_45 (ASSUME :args (_let_25)))) (let ((_let_46 (ASSUME :args (_let_19)))) (let ((_let_47 (ASSUME :args (_let_29)))) (let ((_let_48 (ASSUME :args (_let_27)))) (let ((_let_49 (SYMM _let_48))) (let ((_let_50 (REFL :args (_let_17)))) (let ((_let_51 (ASSUME :args (_let_23)))) (let ((_let_52 (ASSUME :args (_let_16)))) (let ((_let_53 (ASSUME :args (_let_14)))) (let ((_let_54 (ASSUME :args (_let_22)))) (let ((_let_55 (ASSUME :args (_let_12)))) (let ((_let_56 (REFL :args (tptp.b)))) (let ((_let_57 (ASSUME :args (_let_11)))) (let ((_let_58 (ASSUME :args (_let_28)))) (let ((_let_59 (ASSUME :args (_let_21)))) (let ((_let_60 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_46 _let_47 _let_48 _let_51 _let_52 _let_53 _let_54 _let_55 _let_57 _let_58 _let_59 _let_60) (SCOPE (TRANS (CONG (TRANS (SYMM (SYMM _let_60)) (CONG _let_46 (REFL :args (_let_3)) :args _let_44) (SYMM (SYMM _let_59)) (CONG _let_50 (TRANS (SYMM (SYMM _let_58)) (CONG (TRANS _let_49 _let_57) _let_56 :args _let_44) (CONG (SYMM _let_57) _let_56 :args _let_44) (SYMM _let_55)) :args _let_44)) _let_46 :args (APPLY_UF tptp.least_upper_bound)) (SYMM _let_54) (CONG _let_50 (TRANS (SYMM _let_53) (SYMM (SYMM _let_52))) :args _let_44) (SYMM _let_51) (CONG (TRANS (CONG _let_50 (SYMM _let_49) :args _let_44) (SYMM _let_47) (CONG (SYMM _let_46) (REFL :args (tptp.a)) :args _let_44) (SYMM _let_45)) (REFL :args (_let_2)) :args _let_44)) :args (_let_25 _let_19 _let_29 _let_27 _let_23 _let_16 _let_14 _let_22 _let_12 _let_11 _let_28 _let_21 _let_24))) :args (_let_11 _let_12 _let_14 _let_16 _let_19 _let_24 _let_21 _let_22 _let_23 _let_25 _let_27 _let_28 _let_29))) :args (true _let_43)) :args ((or _let_4 (not _let_11) (not _let_12) (not _let_14) (not _let_16) (not _let_19) (not _let_21) (not _let_22) (not _let_23) (not _let_24) (not _let_25) (not _let_27) (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_17 _let_1 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_38)) _let_39 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 tptp.a tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38))) _let_39 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_42) :args _let_32)) _let_31 :args (_let_27 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_42) :args _let_35)) _let_34 :args (_let_25 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_34 :args (_let_24 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_17 tptp.identity _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_39 :args (_let_23 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_17 tptp.b _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_41 :args (_let_22 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_17 _let_1 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_38)) _let_39 :args (_let_21 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_1 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_32)) _let_31 :args (_let_19 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_35)) _let_34 :args (_let_16 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_1 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_36)) _let_37 :args (_let_14 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.b QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_34 :args (_let_12 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_32)) _let_31 :args (_let_11 false _let_30)) (ASSUME :args (_let_5)) :args (false false _let_29 false _let_28 false _let_27 false _let_25 false _let_24 false _let_23 false _let_22 false _let_21 false _let_19 false _let_16 false _let_14 false _let_12 false _let_11 true _let_4)) :args (_let_10 _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_7 (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_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((Y $$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)))) (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_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.66/21.56 )
% 20.66/21.57 % SZS output end Proof for GRP186-3
% 20.66/21.57 % cvc5---1.0.5 exiting
% 21.34/21.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------