TSTP Solution File: ROB014-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ROB014-2 : TPTP v8.1.2. Released v1.0.0.
% 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 14:07:36 EDT 2023
% Result : Unsatisfiable 1.52s 1.75s
% Output : Proof 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ROB014-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 06:55:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.86iDPb0jFN/cvc5---1.0.5_19600.p...
% 0.20/0.49 ------- get file name : TPTP file name is ROB014-2
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19600.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.52/1.75 % SZS status Unsatisfiable for ROB014-2
% 1.52/1.75 % SZS output start Proof for ROB014-2
% 1.52/1.75 (
% 1.52/1.75 (let ((_let_1 (tptp.negate tptp.e))) (let ((_let_2 (tptp.add tptp.d _let_1))) (let ((_let_3 (tptp.negate _let_2))) (let ((_let_4 (tptp.add tptp.d _let_3))) (let ((_let_5 (tptp.multiply tptp.one _let_4))) (let ((_let_6 (tptp.add tptp.e _let_5))) (let ((_let_7 (tptp.negate _let_6))) (let ((_let_8 (not (= _let_7 _let_1)))) (let ((_let_9 (tptp.add _let_1 _let_3))) (let ((_let_10 (tptp.negate _let_9))) (let ((_let_11 (= _let_10 tptp.d))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (Vk $$unsorted)) (or (not (= (tptp.negate (tptp.add X (tptp.negate Y))) Z)) (not (tptp.positive_integer Vk)) (= (tptp.negate (tptp.add X (tptp.negate (tptp.add Y (tptp.multiply Vk (tptp.add X Z)))))) Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.negate (tptp.add X (tptp.negate (tptp.add Y Z)))) (tptp.negate (tptp.add Y (tptp.negate (tptp.add X Z)))))) (= X Y))))) (let ((_let_14 (tptp.positive_integer tptp.one))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.multiply tptp.one X) X)))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.negate (tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))) X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_19 (= tptp.d _let_10))) (let ((_let_20 (= _let_6 (tptp.add _let_5 tptp.e)))) (let ((_let_21 (tptp.add _let_1 tptp.d))) (let ((_let_22 (= _let_2 _let_21))) (let ((_let_23 (tptp.add _let_3 _let_1))) (let ((_let_24 (= _let_9 _let_23))) (let ((_let_25 (= _let_4 _let_5))) (let ((_let_26 (tptp.add tptp.d _let_7))) (let ((_let_27 (= _let_3 (tptp.negate _let_26)))) (let ((_let_28 (tptp.add _let_7 tptp.d))) (let ((_let_29 (= _let_26 _let_28))) (let ((_let_30 (tptp.add _let_3 tptp.e))) (let ((_let_31 (tptp.add tptp.d _let_30))) (let ((_let_32 (= (tptp.add _let_4 tptp.e) _let_31))) (let ((_let_33 (tptp.add tptp.e _let_3))) (let ((_let_34 (= _let_30 _let_33))) (let ((_let_35 (= (tptp.negate (tptp.add _let_1 (tptp.negate _let_28))) (tptp.negate (tptp.add _let_7 (tptp.negate _let_21)))))) (let ((_let_36 (tptp.negate _let_33))) (let ((_let_37 (= (tptp.add tptp.d _let_36) (tptp.add _let_36 tptp.d)))) (let ((_let_38 (tptp.negate _let_30))) (let ((_let_39 (= _let_3 (tptp.negate (tptp.add _let_38 (tptp.negate _let_23)))))) (let ((_let_40 (= tptp.d (tptp.negate (tptp.add (tptp.negate _let_31) (tptp.negate (tptp.add tptp.d _let_38))))))) (let ((_let_41 (SYMM (ASSUME :args (_let_11))))) (let ((_let_42 (_let_18))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.add X Y)))) (let ((_let_45 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.one X))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (not _let_14))) (let ((_let_48 (or _let_47 _let_27))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted) (Vk $$unsorted)) (let ((_let_1 (tptp.negate (tptp.add X (tptp.negate Y))))) (or (not (tptp.positive_integer Vk)) (= _let_1 (tptp.negate (tptp.add X (tptp.negate (tptp.add Y (tptp.multiply Vk (tptp.add X _let_1)))))))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_17))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (= _let_1 _let_7))) (let ((_let_54 (not _let_35))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (_let_13))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.negate (tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 ((tptp.add (tptp.negate (tptp.add X Y)) (tptp.negate (tptp.add X (tptp.negate Y))))))) (let ((_let_62 (not _let_40))) (let ((_let_63 (_let_62))) (let ((_let_64 (ASSUME :args (_let_40)))) (let ((_let_65 (ASSUME :args (_let_54)))) (let ((_let_66 (APPLY_UF tptp.negate))) (let ((_let_67 (APPLY_UF tptp.add))) (let ((_let_68 (ASSUME :args (_let_22)))) (let ((_let_69 (ASSUME :args (_let_39)))) (let ((_let_70 (ASSUME :args (_let_24)))) (let ((_let_71 (SYMM (SYMM _let_41)))) (let ((_let_72 (ASSUME :args (_let_34)))) (let ((_let_73 (CONG (SYMM _let_72) :args _let_66))) (let ((_let_74 (ASSUME :args (_let_37)))) (let ((_let_75 (ASSUME :args (_let_20)))) (let ((_let_76 (ASSUME :args (_let_25)))) (let ((_let_77 (ASSUME :args (_let_32)))) (let ((_let_78 (ASSUME :args (_let_29)))) (let ((_let_79 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_78 _let_79 _let_41 _let_65 _let_68 _let_75 _let_76 _let_77 _let_69 _let_72 _let_70 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_71 (CONG (CONG (REFL :args (_let_1)) (TRANS (SYMM (SYMM _let_79)) (CONG (SYMM (SYMM _let_78)) :args _let_66)) :args _let_67) :args _let_66)) (TRANS (CONG (CONG (CONG (TRANS (SYMM _let_77) (CONG (SYMM (SYMM _let_76)) (REFL :args (tptp.e)) :args _let_67) (SYMM _let_75)) :args _let_66) (TRANS (CONG (CONG (REFL :args (tptp.d)) (SYMM _let_73) :args _let_67) :args _let_66) (CONG (TRANS (SYMM (SYMM _let_74)) (CONG _let_73 (TRANS _let_71 (CONG (SYMM (SYMM _let_70)) :args _let_66)) :args _let_67)) :args _let_66) (SYMM _let_69)) :args _let_67) :args _let_66) (CONG (CONG (REFL :args (_let_7)) (CONG (SYMM (SYMM _let_68)) :args _let_66) :args _let_67) :args _let_66)) :args (=)) (FALSE_INTRO _let_65))) :args (_let_29 _let_27 _let_19 _let_54 _let_22 _let_20 _let_25 _let_32 _let_39 _let_34 _let_24 _let_37))) _let_64) :args (_let_19 _let_20 _let_22 _let_24 _let_25 _let_27 _let_29 _let_32 _let_34 _let_54 _let_37 _let_39 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_63))) (TRUE_INTRO _let_64))) :args (_let_62 _let_40)) :args ((not (and _let_19 _let_20 _let_22 _let_24 _let_25 _let_27 _let_29 _let_32 _let_34 _let_54 _let_37 _let_39 _let_40)) SB_LITERAL))) (CONG (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args ((not _let_25))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args ((not _let_32))) (REFL :args ((not _let_34))) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_35))) (REFL :args ((not _let_37))) (REFL :args ((not _let_39))) (REFL :args _let_63) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.d _let_30 QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_60)) _let_59 :args (_let_40 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_3 tptp.e QUANTIFIERS_INST_E_MATCHING _let_61)) :args _let_60)) _let_59 :args (_let_39 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.d _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_37 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_53 _let_54 (not _let_55)))) (SYMM (ASSUME :args (_let_8))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_1 _let_7 tptp.d QUANTIFIERS_INST_E_MATCHING ((tptp.add Y (tptp.negate (tptp.add X Z)))))) :args _let_56)) _let_57 :args (_let_55 false _let_13)) :args (_let_54 true _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_3 tptp.e QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_34 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.d _let_3 tptp.e QUANTIFIERS_INST_E_MATCHING ((tptp.add (tptp.add X Y) Z)))) :args _let_51)) _let_52 :args (_let_32 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.d _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_29 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_27 (not _let_48)))) (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.d tptp.e tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiply Vk (tptp.add X (tptp.negate (tptp.add X (tptp.negate Y)))))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_27 false _let_14 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.one X)))) :args (_let_45))) _let_46 :args (_let_25 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_24 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.d _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_22 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.e _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_20 false _let_18)) _let_41 :args (false false _let_40 false _let_39 false _let_37 true _let_35 false _let_34 false _let_32 false _let_29 false _let_27 false _let_25 false _let_24 false _let_22 false _let_20 false _let_19)) :args (_let_18 _let_17 _let_16 _let_15 (forall ((X $$unsorted) (V $$unsorted)) (or (not (tptp.positive_integer X)) (= (tptp.multiply (tptp.successor V) X) (tptp.add X (tptp.multiply V X))))) _let_14 (forall ((X $$unsorted)) (or (not (tptp.positive_integer X)) (tptp.positive_integer (tptp.successor X)))) _let_13 _let_12 _let_11 _let_8))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.52/1.75 )
% 1.52/1.76 % SZS output end Proof for ROB014-2
% 1.52/1.76 % cvc5---1.0.5 exiting
% 1.52/1.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------