TSTP Solution File: NUM432+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM432+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 10:43:54 EDT 2023
% Result : Theorem 0.97s 1.16s
% Output : Proof 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM432+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 : Fri Aug 25 17:25:15 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.97/1.16 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XZXIjcjmer/cvc5---1.0.5_2701.p...
% 0.97/1.16 ------- get file name : TPTP file name is NUM432+1
% 0.97/1.16 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2701.smt2...
% 0.97/1.16 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.97/1.16 % SZS status Theorem for NUM432+1
% 0.97/1.16 % SZS output start Proof for NUM432+1
% 0.97/1.16 (
% 0.97/1.16 (let ((_let_1 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xc tptp.xq))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.smndt0 tptp.xc))) (let ((_let_4 (tptp.sdtpldt0 tptp.xa _let_3))) (let ((_let_5 (tptp.sdtpldt0 tptp.xn tptp.xm))) (let ((_let_6 (= (tptp.sdtasdt0 tptp.xq _let_5) _let_4))) (let ((_let_7 (tptp.aInteger0 tptp.xm))) (let ((_let_8 (and _let_7 (= (tptp.sdtasdt0 tptp.xq tptp.xm) (tptp.sdtpldt0 tptp.xb _let_3))))) (let ((_let_9 (tptp.aInteger0 tptp.xn))) (let ((_let_10 (and _let_9 (= (tptp.sdtasdt0 tptp.xq tptp.xn) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))))) (let ((_let_11 (tptp.aInteger0 tptp.xc))) (let ((_let_12 (tptp.aInteger0 tptp.xq))) (let ((_let_13 (tptp.aInteger0 tptp.xa))) (let ((_let_14 (and _let_13 (tptp.aInteger0 tptp.xb) _let_12 (not (= tptp.xq tptp.sz00)) _let_11))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))))) (let ((_let_16 (forall ((W0 $$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_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_18 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_19 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xc)) (tptp.sdtasdt0 tptp.xq W2))))))) (let ((_let_20 (not _let_6))) (let ((_let_21 (tptp.aInteger0 _let_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (not _let_19))) (let ((_let_25 (= tptp.sz00 tptp.xq))) (let ((_let_26 (not _let_25))) (let ((_let_27 (and _let_12 _let_26 _let_24))) (let ((_let_28 (tptp.aDivisorOf0 tptp.xq _let_4))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (not _let_27))) (let ((_let_31 (tptp.aInteger0 _let_4))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_29))) (let ((_let_34 (forall ((W0 $$unsorted) (BOUND_VARIABLE_994 $$unsorted)) (or (not (tptp.aInteger0 W0)) (= (tptp.aDivisorOf0 BOUND_VARIABLE_994 W0) (and (tptp.aInteger0 BOUND_VARIABLE_994) (not (= tptp.sz00 BOUND_VARIABLE_994)) (not (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= W0 (tptp.sdtasdt0 BOUND_VARIABLE_994 W2)))))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.aInteger0 _let_3))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_13))) (let ((_let_39 (or _let_38 _let_37 _let_31))) (let ((_let_40 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_44 (not _let_11))) (let ((_let_45 (or _let_44 _let_36))) (let ((_let_46 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (AND_ELIM _let_48 :args (4)))) (let ((_let_50 (0))) (let ((_let_51 (AND_ELIM _let_48 :args _let_50))) (let ((_let_52 (= _let_1 _let_28))) (let ((_let_53 (not _let_28))) (let ((_let_54 (not _let_12))) (let ((_let_55 (or _let_38 _let_44 _let_54 _let_25 _let_52))) (let ((_let_56 (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_57 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (AND_ELIM _let_48 :args (2)))) (let ((_let_59 (AND_ELIM _let_48 :args (3)))) (let ((_let_60 (_let_27))) (let ((_let_61 (not _let_23))) (let ((_let_62 (not _let_7))) (let ((_let_63 (not _let_9))) (let ((_let_64 (or _let_63 _let_62 _let_21))) (let ((_let_65 (_let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W2) false))))) :args _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_61))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 _let_21 (not _let_64)))) (AND_ELIM (ASSUME :args (_let_10)) :args _let_50) (AND_ELIM (ASSUME :args (_let_8)) :args _let_50) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_64 false _let_40)) :args (_let_21 false _let_9 false _let_7 false _let_64)) :args (_let_61 false _let_6 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_60) (CONG (REFL :args _let_60) (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_19))) :args (or))) :args ((or _let_25 _let_54 _let_19 _let_27))) _let_59 _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_28 _let_30 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_52)) :args ((or _let_1 _let_53 (not _let_52)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_25 _let_38 _let_54 _let_44 _let_52 (not _let_55)))) _let_59 _let_51 _let_58 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.xa tptp.xc tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2)))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_52 true _let_25 false _let_13 false _let_12 false _let_11 false _let_55)) :args (_let_53 true _let_1 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_29 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 _let_31 (not _let_39)))) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_36 (not _let_45)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smndt0 W0)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_36 false _let_11 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.xa _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_39 false _let_40)) :args (_let_31 false _let_13 false _let_36 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_4 tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aDivisorOf0 BOUND_VARIABLE_994 W0)))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_29 false _let_31 false _let_33)) :args (_let_30 true _let_28 false _let_29)) :args (_let_19 true _let_25 false _let_12 true _let_27)) :args (false true _let_23 false _let_19)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) (tptp.aInteger0 tptp.sz00) (tptp.aInteger0 tptp.sz10) _let_18 _let_17 (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 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) (forall ((W0 $$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))))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$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_16 _let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) (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.sdteqdtlpzmzozddtrp0 W1 W0 W2)))) _let_14 (and (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq)) _let_10 _let_8 _let_6 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.00/1.17 )
% 1.00/1.17 % SZS output end Proof for NUM432+1
% 1.00/1.17 % cvc5---1.0.5 exiting
% 1.00/1.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------