TSTP Solution File: RNG105+1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 13:50:04 EDT 2023

% Result   : Theorem 11.81s 12.05s
% Output   : Proof 11.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG105+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.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
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 02:57:58 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 11.81/12.05  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.4wTlV3IzzX/cvc5---1.0.5_15264.p...
% 11.81/12.05  ------- get file name : TPTP file name is RNG105+1
% 11.81/12.05  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15264.smt2...
% 11.81/12.05  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.81/12.05  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.81/12.05  % SZS status Theorem for RNG105+1
% 11.81/12.05  % SZS output start Proof for RNG105+1
% 11.81/12.05  (
% 11.81/12.05  (let ((_let_1 (tptp.slsdtgt0 tptp.xc))) (let ((_let_2 (tptp.sdtasdt0 tptp.xz tptp.xx))) (let ((_let_3 (tptp.sdtpldt0 tptp.xx tptp.xy))) (let ((_let_4 (not (and (tptp.aElementOf0 _let_3 _let_1) (tptp.aElementOf0 _let_2 _let_1))))) (let ((_let_5 (tptp.sdtasdt0 tptp.xu tptp.xz))) (let ((_let_6 (tptp.sdtasdt0 tptp.xc _let_5))) (let ((_let_7 (= _let_2 _let_6))) (let ((_let_8 (tptp.sdtpldt0 tptp.xu tptp.xv))) (let ((_let_9 (tptp.sdtasdt0 tptp.xc _let_8))) (let ((_let_10 (= _let_3 _let_9))) (let ((_let_11 (tptp.sdtasdt0 tptp.xc tptp.xv))) (let ((_let_12 (tptp.aElement0 tptp.xv))) (let ((_let_13 (and _let_12 (= _let_11 tptp.xy)))) (let ((_let_14 (tptp.sdtasdt0 tptp.xc tptp.xu))) (let ((_let_15 (tptp.aElement0 tptp.xu))) (let ((_let_16 (and _let_15 (= _let_14 tptp.xx)))) (let ((_let_17 (tptp.aElement0 tptp.xz))) (let ((_let_18 (and (tptp.aElementOf0 tptp.xx _let_1) (tptp.aElementOf0 tptp.xy _let_1) _let_17))) (let ((_let_19 (tptp.aElement0 tptp.xc))) (let ((_let_20 (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (= (= W1 (tptp.slsdtgt0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (exists ((W3 $$unsorted)) (and (tptp.aElement0 W3) (= (tptp.sdtasdt0 W0 W3) W2)))))))))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_22 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_24 (tptp.aElement0 _let_5))) (let ((_let_25 (not _let_17))) (let ((_let_26 (not _let_15))) (let ((_let_27 (or _let_26 _let_25 _let_24))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.sdtasdt0 tptp.xz _let_14))) (let ((_let_31 (= _let_6 _let_30))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_24))) (let ((_let_34 (or _let_33 _let_32))) (let ((_let_35 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (= (tptp.sdtasdt0 tptp.xz (tptp.sdtasdt0 tptp.xc tptp.xu)) (tptp.sdtasdt0 tptp.xc W3))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.aElementOf0 _let_30 _let_1))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 (tptp.slsdtgt0 tptp.xc)) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (= W2 (tptp.sdtasdt0 tptp.xc W3)))))))))) (let ((_let_40 (and (tptp.aSet0 _let_1) _let_39))) (let ((_let_41 (not _let_19))) (let ((_let_42 (or _let_41 _let_40))) (let ((_let_43 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1614 $$unsorted)) (or (not (tptp.aElement0 W0)) (= (= (tptp.slsdtgt0 W0) BOUND_VARIABLE_1614) (and (tptp.aSet0 BOUND_VARIABLE_1614) (forall ((W2 $$unsorted)) (= (not (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (= W2 (tptp.sdtasdt0 W0 W3)))))) (tptp.aElementOf0 W2 BOUND_VARIABLE_1614))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_40 (not _let_42)))) (ASSUME :args (_let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xc _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_43)))) _let_44 :args (_let_42 false _let_43)) :args (_let_40 false _let_19 false _let_42)) :args (_let_39 false _let_40)))) (let ((_let_46 (_let_39))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.sdtpldt0 _let_14 _let_11))) (let ((_let_49 (tptp.aElementOf0 _let_48 _let_1))) (let ((_let_50 (forall ((W3 $$unsorted)) (or (not (tptp.aElement0 W3)) (not (= (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xc tptp.xu) (tptp.sdtasdt0 tptp.xc tptp.xv)) (tptp.sdtasdt0 tptp.xc W3))))))) (let ((_let_51 (not _let_50))) (let ((_let_52 (= _let_49 _let_51))) (let ((_let_53 (= _let_9 _let_48))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.aElement0 _let_8))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_54))) (let ((_let_58 (not _let_57))) (let ((_let_59 (not _let_12))) (let ((_let_60 (or _let_26 _let_59 _let_55))) (let ((_let_61 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (tptp.aElement0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (1))) (let ((_let_64 (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_65 (ASSUME :args (_let_16)))) (let ((_let_66 (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_67 (ASSUME :args (_let_13)))) (let ((_let_68 (AND_INTRO (AND_ELIM (EQ_RESOLVE _let_67 _let_66) :args _let_63) (AND_ELIM (EQ_RESOLVE _let_65 _let_64) :args _let_63)))) (let ((_let_69 (EQ_RESOLVE _let_65 (TRANS _let_64 (MACRO_SR_EQ_INTRO _let_68 :args ((and _let_15 (= tptp.xx _let_14)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_70 (_let_50))) (let ((_let_71 (not _let_52))) (let ((_let_72 (or))) (let ((_let_73 (not _let_38))) (let ((_let_74 (_let_35))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.xu tptp.xz QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_25 _let_26 _let_24 _let_29))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO _let_68 :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args (2)) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_32 _let_33 (not _let_34)))) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO _let_68 :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_74) :args (_let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_38)) (CONG (REFL :args (_let_73)) (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_72)) :args ((or _let_37 _let_35 _let_73))) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO _let_68 :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_52)) (CONG (REFL :args (_let_71)) (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_72)) :args ((or _let_49 _let_50 _let_71))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (_let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_70))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_54 _let_56 _let_58))) (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO _let_68 :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_26 _let_59 _let_55 (not _let_60)))) _let_69 (EQ_RESOLVE _let_67 (TRANS _let_66 (MACRO_SR_EQ_INTRO _let_68 :args ((and _let_12 (= tptp.xy _let_11)) SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.xu tptp.xv QUANTIFIERS_INST_CBQI_PROP)) :args (_let_61))) _let_62 :args (_let_60 false _let_61)) :args (_let_55 false _let_15 false _let_12 false _let_60)) :args (_let_58 false _let_53 false _let_55)) :args (_let_51 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_48 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_45 :args (_let_52 false _let_39)) :args (_let_49 true _let_50 false _let_52)) :args ((not _let_37) false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_45 :args (_let_38 false _let_39)) :args (_let_35 true _let_37 false _let_38)) :args (_let_34 false _let_35)) :args (_let_33 false _let_31 false _let_34)) :args (_let_29 false _let_17 false _let_15 true _let_24)) _let_28 :args (false true _let_27 false _let_23)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (tptp.aElement0 tptp.sz00) (tptp.aElement0 tptp.sz10) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.aElement0 (tptp.smndt0 W0)))) _let_22 _let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (not (= tptp.sz10 tptp.sz00)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 W2 W1))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt1 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted) (W5 $$unsorted)) (and (tptp.aElementOf0 W4 W0) (tptp.aElementOf0 W5 W1) (= (tptp.sdtpldt0 W4 W5) W3)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtasasdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) (forall ((W0 $$unsorted)) (= (tptp.aIdeal0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.aElementOf0 (tptp.sdtpldt0 W1 W2) W0))) (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 (tptp.sdtasdt0 W2 W1) W0))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtpldt1 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (tptp.aIdeal0 (tptp.sdtasasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aIdeal0 W2)) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aElementOf0 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aIdeal0 W0) (tptp.aIdeal0 W1)) (=> (forall ((W2 $$unsorted)) (=> (tptp.aElement0 W2) (tptp.aElementOf0 W2 (tptp.sdtpldt1 W0 W1)))) (forall ((W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aElement0 W2) (tptp.aElement0 W3)) (exists ((W4 $$unsorted)) (and (tptp.aElement0 W4) (tptp.sdteqdtlpzmzozddtrp0 W4 W2 W0) (tptp.sdteqdtlpzmzozddtrp0 W4 W3 W1)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) (forall ((W0 $$unsorted)) (=> (and (tptp.aElement0 W0) (not (= W0 tptp.sz00))) (tptp.aNaturalNumber0 (tptp.sbrdtbr0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (not (= W1 tptp.sz00))) (exists ((W2 $$unsorted) (W3 $$unsorted)) (and (tptp.aElement0 W2) (tptp.aElement0 W3) (= W0 (tptp.sdtpldt0 (tptp.sdtasdt0 W2 W1) W3)) (=> (not (= W3 tptp.sz00)) (tptp.iLess0 (tptp.sbrdtbr0 W3) (tptp.sbrdtbr0 W1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aElement0 W2) (= (tptp.sdtasdt0 W0 W2) W1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aElement0 W1) (tptp.doDivides0 W1 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (tptp.aGcdOfAnd0 W2 W0 W1) (and (tptp.aDivisorOf0 W2 W0) (tptp.aDivisorOf0 W2 W1) (forall ((W3 $$unsorted)) (=> (and (tptp.aDivisorOf0 W3 W0) (tptp.aDivisorOf0 W3 W1)) (tptp.doDivides0 W3 W2)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (= (tptp.misRelativelyPrime0 W0 W1) (tptp.aGcdOfAnd0 tptp.sz10 W0 W1)))) _let_20 _let_19 _let_18 _let_16 _let_13 _let_10 _let_7 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.81/12.05  )
% 11.81/12.05  % SZS output end Proof for RNG105+1
% 11.81/12.05  % cvc5---1.0.5 exiting
% 11.81/12.05  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------