TSTP Solution File: RNG021-7 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : RNG021-7 : TPTP v8.1.2. Released v1.0.0.
% 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 : Thu Aug 31 13:49:31 EDT 2023
% Result : Unsatisfiable 0.37s 0.65s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG021-7 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 : Sun Aug 27 02:44:56 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.6CYiLkKJ0w/cvc5---1.0.5_24195.p...
% 0.22/0.52 ------- get file name : TPTP file name is RNG021-7
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24195.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.37/0.65 % SZS status Unsatisfiable for RNG021-7
% 0.37/0.65 % SZS output start Proof for RNG021-7
% 0.37/0.65 (
% 0.37/0.65 (let ((_let_1 (tptp.associator tptp.v tptp.x tptp.y))) (let ((_let_2 (tptp.associator tptp.u tptp.x tptp.y))) (let ((_let_3 (tptp.add tptp.u tptp.v))) (let ((_let_4 (tptp.associator _let_3 tptp.x tptp.y))) (let ((_let_5 (= _let_4 (tptp.add _let_2 _let_1)))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X (tptp.additive_inverse Y)) (tptp.additive_inverse (tptp.multiply X Y)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_12 (tptp.add tptp.v tptp.u))) (let ((_let_13 (= _let_3 _let_12))) (let ((_let_14 (tptp.multiply tptp.x tptp.y))) (let ((_let_15 (tptp.additive_inverse (tptp.multiply tptp.u _let_14)))) (let ((_let_16 (tptp.multiply tptp.u tptp.x))) (let ((_let_17 (tptp.multiply _let_16 tptp.y))) (let ((_let_18 (tptp.add _let_17 _let_15))) (let ((_let_19 (= _let_2 _let_18))) (let ((_let_20 (tptp.additive_inverse (tptp.multiply tptp.v _let_14)))) (let ((_let_21 (tptp.multiply tptp.v tptp.x))) (let ((_let_22 (tptp.multiply _let_21 tptp.y))) (let ((_let_23 (tptp.add _let_22 _let_20))) (let ((_let_24 (= _let_1 _let_23))) (let ((_let_25 (tptp.additive_inverse (tptp.multiply _let_3 _let_14)))) (let ((_let_26 (tptp.multiply _let_3 tptp.x))) (let ((_let_27 (tptp.multiply _let_26 tptp.y))) (let ((_let_28 (tptp.add _let_27 _let_25))) (let ((_let_29 (= _let_4 _let_28))) (let ((_let_30 (= _let_26 (tptp.add _let_16 _let_21)))) (let ((_let_31 (tptp.add _let_20 _let_22))) (let ((_let_32 (= _let_23 _let_31))) (let ((_let_33 (= _let_28 (tptp.add _let_25 _let_27)))) (let ((_let_34 (tptp.add _let_15 _let_1))) (let ((_let_35 (tptp.add _let_17 _let_34))) (let ((_let_36 (= _let_35 (tptp.add _let_18 _let_1)))) (let ((_let_37 (tptp.additive_inverse _let_14))) (let ((_let_38 (tptp.multiply tptp.u _let_37))) (let ((_let_39 (= _let_15 _let_38))) (let ((_let_40 (tptp.multiply tptp.v _let_37))) (let ((_let_41 (= _let_20 _let_40))) (let ((_let_42 (tptp.multiply _let_3 _let_37))) (let ((_let_43 (= _let_25 _let_42))) (let ((_let_44 (tptp.add _let_21 _let_16))) (let ((_let_45 (= (tptp.multiply _let_12 tptp.x) _let_44))) (let ((_let_46 (= _let_42 (tptp.add _let_38 _let_40)))) (let ((_let_47 (= _let_35 (tptp.add _let_34 _let_17)))) (let ((_let_48 (= _let_34 (tptp.add _let_1 _let_15)))) (let ((_let_49 (tptp.add _let_15 _let_20))) (let ((_let_50 (tptp.add _let_49 _let_22))) (let ((_let_51 (= (tptp.add _let_15 _let_31) _let_50))) (let ((_let_52 (tptp.add _let_22 _let_17))) (let ((_let_53 (= _let_52 (tptp.multiply _let_44 tptp.y)))) (let ((_let_54 (= (tptp.add _let_49 _let_52) (tptp.add _let_50 _let_17)))) (let ((_let_55 (ASSUME :args (_let_6)))) (let ((_let_56 (_let_10))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.add X Y)))) (let ((_let_59 (_let_8))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.associator X Y Z)))) (let ((_let_62 (_let_11))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.multiply (tptp.add X Y) Z)))) (let ((_let_65 (_let_9))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 ((tptp.add (tptp.add X Y) Z)))) (let ((_let_68 (_let_7))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 ((tptp.additive_inverse (tptp.multiply X Y))))) (let ((_let_71 (and _let_6 _let_13 _let_19 _let_24 _let_29 _let_30 _let_32 _let_33 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_51 _let_53))) (let ((_let_72 (APPLY_UF tptp.add))) (let ((_let_73 (ASSUME :args (_let_19)))) (let ((_let_74 (ASSUME :args (_let_36)))) (let ((_let_75 (ASSUME :args (_let_47)))) (let ((_let_76 (REFL :args (_let_17)))) (let ((_let_77 (ASSUME :args (_let_48)))) (let ((_let_78 (ASSUME :args (_let_24)))) (let ((_let_79 (ASSUME :args (_let_32)))) (let ((_let_80 (ASSUME :args (_let_51)))) (let ((_let_81 (ASSUME :args (_let_29)))) (let ((_let_82 (ASSUME :args (_let_33)))) (let ((_let_83 (APPLY_UF tptp.multiply))) (let ((_let_84 (REFL :args (tptp.y)))) (let ((_let_85 (ASSUME :args (_let_30)))) (let ((_let_86 (ASSUME :args (_let_13)))) (let ((_let_87 (ASSUME :args (_let_45)))) (let ((_let_88 (ASSUME :args (_let_53)))) (let ((_let_89 (ASSUME :args (_let_43)))) (let ((_let_90 (ASSUME :args (_let_46)))) (let ((_let_91 (ASSUME :args (_let_41)))) (let ((_let_92 (ASSUME :args (_let_39)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_81 _let_82 _let_89 _let_90 _let_92 _let_91 _let_85 _let_86 _let_87 _let_88 _let_73 _let_74 _let_75 _let_77 _let_78 _let_79 _let_80) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (TRANS (CONG (SYMM (SYMM _let_92)) (SYMM (SYMM _let_91)) :args _let_72) (SYMM _let_90) (SYMM _let_89)) (TRANS (SYMM (SYMM _let_88)) (CONG (TRANS (TRANS (SYMM _let_87) (CONG (SYMM _let_86) (REFL :args (tptp.x)) :args _let_83)) _let_85) _let_84 :args _let_83) (CONG (SYMM _let_85) _let_84 :args _let_83)) :args _let_72) (SYMM _let_82) (SYMM _let_81)) (TRANS (CONG (TRANS (TRANS (SYMM _let_80) (CONG (REFL :args (_let_15)) (TRANS (SYMM _let_79) (SYMM _let_78)) :args _let_72)) _let_77) _let_76 :args _let_72) (CONG (SYMM _let_77) _let_76 :args _let_72) (SYMM _let_75) (SYMM (SYMM _let_74)) (CONG (SYMM _let_73) (REFL :args (_let_1)) :args _let_72)) :args (=)) (FALSE_INTRO _let_55))) :args (_let_6 _let_29 _let_33 _let_43 _let_46 _let_39 _let_41 _let_30 _let_13 _let_45 _let_53 _let_19 _let_36 _let_47 _let_48 _let_24 _let_32 _let_51))) :args (_let_6 _let_13 _let_19 _let_24 _let_29 _let_30 _let_32 _let_33 _let_36 _let_39 _let_41 _let_43 _let_45 _let_46 _let_47 _let_48 _let_51 _let_53))) :args (true _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_13))) (REFL :args ((not _let_19))) (REFL :args ((not _let_24))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) (REFL :args ((not _let_32))) (REFL :args ((not _let_33))) (REFL :args ((not _let_36))) (REFL :args ((not _let_39))) (REFL :args ((not _let_41))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_46))) (REFL :args ((not _let_47))) (REFL :args ((not _let_48))) (REFL :args ((not _let_51))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_49 _let_22 _let_17 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_66 :args (_let_54 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_21 _let_16 tptp.y QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62))) _let_63 :args (_let_53 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_15 _let_20 _let_22 QUANTIFIERS_INST_E_MATCHING ((tptp.add X (tptp.add Y Z))))) :args _let_65)) _let_66 :args (_let_51 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_15 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_17 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_47 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.u tptp.v _let_37 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_46 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.v tptp.u tptp.x QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_45 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_3 _let_14 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68))) _let_69 :args (_let_43 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.v _let_14 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68))) _let_69 :args (_let_41 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.u _let_14 QUANTIFIERS_INST_E_MATCHING _let_70)) :args _let_68))) _let_69 :args (_let_39 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_17 _let_15 _let_1 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_66 :args (_let_36 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_27 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_22 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.u tptp.v tptp.x QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_62)) _let_63 :args (_let_30 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_3 tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.v tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.u tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_19 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.u tptp.v QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_13 false _let_10)) _let_55 :args (false false _let_54 false _let_53 false _let_51 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_41 false _let_39 false _let_36 false _let_33 false _let_32 false _let_30 false _let_29 false _let_24 false _let_19 false _let_13 true _let_5)) :args ((forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)) (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)) (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)) (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.additive_inverse Y)) (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) Y) (tptp.additive_inverse (tptp.multiply X Y)))) _let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y (tptp.additive_inverse Z))) (tptp.add (tptp.multiply X Y) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X (tptp.additive_inverse Y)) Z) (tptp.add (tptp.multiply X Z) (tptp.additive_inverse (tptp.multiply Y Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.additive_inverse X) (tptp.add Y Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Y)) (tptp.additive_inverse (tptp.multiply X Z))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) (tptp.additive_inverse Z)) (tptp.add (tptp.additive_inverse (tptp.multiply X Z)) (tptp.additive_inverse (tptp.multiply Y Z))))) _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.37/0.65 )
% 0.37/0.66 % SZS output end Proof for RNG021-7
% 0.37/0.66 % cvc5---1.0.5 exiting
% 0.37/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------