TSTP Solution File: NUN134-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN134-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 12:46:39 EDT 2023
% Result : Unsatisfiable 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN134-1 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.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 09:37:21 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.g6KdavhJWN/cvc5---1.0.5_24006.p...
% 0.21/0.49 ------- get file name : TPTP file name is NUN134-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24006.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Unsatisfiable for NUN134-1
% 0.21/0.55 % SZS output start Proof for NUN134-1
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (tptp.s tptp.a))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.times _let_1 _let_2))) (let ((_let_4 (tptp.sum _let_1))) (let ((_let_5 (= (|tptp.'+'| _let_4 _let_4) _let_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.times tptp.a _let_1))) (let ((_let_8 (tptp.sum tptp.a))) (let ((_let_9 (|tptp.'+'| _let_8 _let_8))) (let ((_let_10 (= _let_9 _let_7))) (let ((_let_11 (forall ((N $$unsorted)) (let ((_let_1 (tptp.s N))) (= (tptp.sum _let_1) (|tptp.'+'| _let_1 (tptp.sum N))))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times (tptp.s X) Y) (|tptp.'+'| Y (tptp.times X Y)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.times X Y) (tptp.times Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (|tptp.'+'| X (|tptp.'+'| Y Z)) (|tptp.'+'| (|tptp.'+'| X Y) Z))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| X Y) (|tptp.'+'| Y X))))) (let ((_let_16 (|tptp.'+'| _let_9 _let_1))) (let ((_let_17 (= (|tptp.'+'| _let_1 _let_16) (|tptp.'+'| (|tptp.'+'| _let_1 _let_9) _let_1)))) (let ((_let_18 (_let_14))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (tptp.times _let_1 _let_1))) (let ((_let_21 (= _let_20 (|tptp.'+'| _let_1 _let_7)))) (let ((_let_22 (|tptp.'+'| _let_8 _let_1))) (let ((_let_23 (= (|tptp.'+'| _let_8 _let_22) _let_16))) (let ((_let_24 (|tptp.'+'| _let_1 _let_20))) (let ((_let_25 (= _let_24 (|tptp.'+'| _let_20 _let_1)))) (let ((_let_26 (tptp.times _let_2 _let_1))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (|tptp.'+'| _let_1 _let_8))) (let ((_let_29 (= (|tptp.'+'| _let_1 (|tptp.'+'| _let_8 _let_4)) (|tptp.'+'| _let_28 _let_4)))) (let ((_let_30 (= _let_28 _let_22))) (let ((_let_31 (= _let_4 _let_28))) (let ((_let_32 (= _let_3 _let_26))) (let ((_let_33 (not _let_17))) (let ((_let_34 (_let_12))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.times (tptp.s X) Y)))) (let ((_let_37 ((|tptp.'+'| X (|tptp.'+'| Y Z))))) (let ((_let_38 (_let_15))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((|tptp.'+'| X Y)))) (let ((_let_41 (_let_11))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_13))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (ASSUME :args (_let_10)))) (let ((_let_46 (ASSUME :args (_let_6)))) (let ((_let_47 (not _let_21))) (let ((_let_48 (not _let_23))) (let ((_let_49 (not _let_25))) (let ((_let_50 (not _let_27))) (let ((_let_51 (not _let_29))) (let ((_let_52 (not _let_30))) (let ((_let_53 (not _let_31))) (let ((_let_54 (not _let_32))) (let ((_let_55 (not _let_10))) (let ((_let_56 (and _let_10 _let_6 _let_32 _let_31 _let_30 _let_29 _let_27 _let_25 _let_23 _let_21))) (let ((_let_57 (ASSUME :args (_let_32)))) (let ((_let_58 (ASSUME :args (_let_27)))) (let ((_let_59 (ASSUME :args (_let_25)))) (let ((_let_60 (APPLY_UF |tptp.'+'|))) (let ((_let_61 (REFL :args (_let_1)))) (let ((_let_62 (ASSUME :args (_let_21)))) (let ((_let_63 (ASSUME :args (_let_31)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (ASSUME :args (_let_29)))) (let ((_let_66 (ASSUME :args (_let_30)))) (let ((_let_67 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_1 _let_9 _let_1 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_63 _let_65 _let_66 _let_67 _let_46 _let_57 _let_58 _let_59 _let_62 _let_45) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_61 (TRANS (SYMM _let_67) (CONG (REFL :args (_let_8)) (TRANS (SYMM _let_66) _let_64) :args _let_60)) :args _let_60) (SYMM (SYMM _let_65)) (CONG _let_64 (REFL :args (_let_4)) :args _let_60)) (TRANS (CONG (TRANS (CONG _let_61 (SYMM (SYMM _let_45)) :args _let_60) (SYMM _let_62)) _let_61 :args _let_60) (SYMM _let_59) (SYMM _let_58) (SYMM _let_57)) :args (=)) (FALSE_INTRO _let_46))) :args (_let_31 _let_29 _let_30 _let_23 _let_6 _let_32 _let_27 _let_25 _let_21 _let_10))) :args (_let_10 _let_6 _let_32 _let_31 _let_30 _let_29 _let_27 _let_25 _let_23 _let_21))) :args (true _let_56)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args (_let_54)) (REFL :args (_let_53)) (REFL :args (_let_52)) (REFL :args (_let_51)) (REFL :args (_let_50)) (REFL :args (_let_49)) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_33)) :args (or))) :args ((or _let_5 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_33))) _let_46 _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.times X Y)))) :args _let_43)) _let_44 :args (_let_32 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.s N)))) :args _let_41)) _let_42 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_30 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_1 _let_8 _let_4 QUANTIFIERS_INST_E_MATCHING ((|tptp.'+'| (|tptp.'+'| X Y) Z)))) :args _let_18)) _let_19 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_27 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_25 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_8 _let_8 _let_1 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_18)) _let_19 :args (_let_23 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_21 false _let_12)) :args (_let_33 true _let_5 false _let_10 false _let_32 false _let_31 false _let_30 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21)) _let_19 :args (false true _let_17 false _let_14)) :args (_let_15 _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (tptp.times Y Z)) (tptp.times (tptp.times X Y) Z))) (forall ((X $$unsorted)) (= (|tptp.'+'| X tptp.zero) X)) (forall ((X $$unsorted)) (= (tptp.times X tptp.zero) tptp.zero)) (forall ((X $$unsorted)) (= (tptp.times X tptp.one) X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times X (|tptp.'+'| Y Z)) (|tptp.'+'| (tptp.times X Y) (tptp.times X Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.times (|tptp.'+'| X Y) Z) (|tptp.'+'| (tptp.times X Z) (tptp.times Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (|tptp.'+'| (tptp.s X) Y) (tptp.s (|tptp.'+'| X Y)))) _let_12 (= (tptp.sum tptp.zero) tptp.zero) _let_11 _let_10 _let_6))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for NUN134-1
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------