%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 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 10:43:46 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM423+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % 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   : Fri Aug 25 09:01:07 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.75  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.2F64ixinVU/cvc5---1.0.5_3916.p...
% 0.21/0.75  ------- get file name : TPTP file name is NUM423+1
% 0.21/0.75  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3916.smt2...
% 0.21/0.75  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.75  % SZS status Theorem for NUM423+1
% 0.21/0.75  % SZS output start Proof for NUM423+1
% 0.21/0.75  (
% 0.21/0.75  (let ((_let_1 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xa tptp.xq))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.aInteger0 tptp.xq))) (let ((_let_4 (tptp.aInteger0 tptp.xa))) (let ((_let_5 (and _let_4 _let_3 (not (= tptp.xq tptp.sz00))))) (let ((_let_6 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))))) (let ((_let_8 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_9 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_10 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_11 (tptp.aInteger0 tptp.sz00))) (let ((_let_12 (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00)))) (let ((_let_13 (tptp.smndt0 tptp.xa))) (let ((_let_14 (tptp.sdtpldt0 tptp.xa _let_13))) (let ((_let_15 (= tptp.sz00 _let_14))) (let ((_let_16 (tptp.sdtasdt0 tptp.xq tptp.sz00))) (let ((_let_17 (= tptp.sz00 _let_16))) (let ((_let_18 (= _let_14 _let_16))) (let ((_let_19 (not _let_11))) (let ((_let_20 (or _let_19 _let_12))) (let ((_let_21 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (ASSUME :args (_let_11)))) (let ((_let_24 (and _let_15 (= tptp.sz00 (tptp.sdtpldt0 _let_13 tptp.xa))))) (let ((_let_25 (not _let_4))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (AND_ELIM _let_29 :args (0)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 0)) :args ((or _let_15 (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 (not _let_26)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_24 false _let_4 false _let_26)) :args (_let_15 false _let_24)))) (let ((_let_32 (and _let_17 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xq))))) (let ((_let_33 (not _let_3))) (let ((_let_34 (or _let_33 _let_32))) (let ((_let_35 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (AND_ELIM _let_29 :args (1)))) (let ((_let_38 (not _let_18))) (let ((_let_39 (or _let_19 _let_38))) (let ((_let_40 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xa)) (tptp.sdtasdt0 tptp.xq W2))))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (= tptp.sz00 tptp.xq))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and _let_3 _let_43 _let_41))) (let ((_let_45 (tptp.aDivisorOf0 tptp.xq _let_14))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (not _let_44))) (let ((_let_48 (tptp.aInteger0 _let_14))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_46))) (let ((_let_51 (forall ((W0 $$unsorted) (BOUND_VARIABLE_943 $$unsorted)) (or (not (tptp.aInteger0 W0)) (= (tptp.aDivisorOf0 BOUND_VARIABLE_943 W0) (and (tptp.aInteger0 BOUND_VARIABLE_943) (not (= tptp.sz00 BOUND_VARIABLE_943)) (not (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= W0 (tptp.sdtasdt0 BOUND_VARIABLE_943 W2)))))))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (and _let_11 _let_15))) (let ((_let_54 (_let_11 _let_15))) (let ((_let_55 (ASSUME :args (_let_15)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (= _let_1 _let_45))) (let ((_let_58 (not _let_45))) (let ((_let_59 (or _let_25 _let_25 _let_33 _let_42 _let_57))) (let ((_let_60 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= tptp.sz00 W2) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (AND_ELIM _let_29 :args (2)))) (let ((_let_63 (or))) (let ((_let_64 (_let_44))) (let ((_let_65 (_let_40))) (let ((_let_66 (ASSUME :args (_let_38)))) (let ((_let_67 (ASSUME :args (_let_17)))) (let ((_let_68 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_66 _let_55 _let_67 _let_68) :args (_let_12 _let_15 _let_17 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS _let_56 _let_68 (TRANS (SYMM _let_68) (SYMM (SYMM _let_67)))))) (FALSE_INTRO _let_66))) :args (_let_38 _let_15 _let_17 _let_12)) :args ((not (and _let_12 _let_15 _let_17 _let_38)) SB_LITERAL))) (CONG (REFL :args ((not _let_12))) (REFL :args ((not _let_15))) (REFL :args ((not _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_18))) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_19 _let_38 (not _let_39)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W2) false))))) :args _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_64) (CONG (REFL :args _let_64) (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_42))) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_63)) :args ((or _let_42 _let_33 _let_40 _let_44))) _let_62 _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_46)) :args ((or _let_45 _let_47 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_1 _let_58 (not _let_57)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_59))) :args ((or _let_42 _let_25 _let_33 _let_57 (not _let_59)))) _let_62 _let_30 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xa tptp.xa tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2)))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_57 true _let_42 false _let_4 false _let_3 false _let_59)) :args (_let_58 true _let_1 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_46 (not _let_50)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_23 _let_55) (SCOPE (TRUE_ELIM (TRANS (CONG _let_56 :args (APPLY_UF tptp.aInteger0)) (TRUE_INTRO _let_23))) :args _let_54)) :args _let_54)) :args (true _let_53)) _let_23 _let_31 :args (_let_48 false _let_11 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_14 tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aDivisorOf0 BOUND_VARIABLE_943 W0)))) :args (_let_51))) _let_52 :args (_let_50 false _let_51)) :args (_let_46 false _let_48 false _let_50)) :args (_let_47 true _let_45 false _let_46)) :args (_let_40 true _let_42 false _let_3 true _let_44)) :args (_let_39 false _let_40)) :args (_let_38 false _let_11 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_17 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_32 (not _let_34)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_32 false _let_3 false _let_34)) :args (_let_17 false _let_32)) _let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_12 (not _let_20)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_21)))) _let_22 :args (_let_20 false _let_21)) :args (_let_12 false _let_11 false _let_20)) :args (false true _let_18 false _let_17 false _let_15 false _let_12)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_11 (tptp.aInteger0 tptp.sz10) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) _let_10 _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))) _let_8 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) _let_7 _let_6 _let_5 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.75  )
% 0.21/0.75  % SZS output end Proof for NUM423+1
% 0.21/0.75  % cvc5---1.0.5 exiting
% 0.21/0.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------