TSTP Solution File: RNG041-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% 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 13:49:39 EDT 2023

% Result   : Unsatisfiable 3.59s 3.78s
% Output   : Proof 3.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : RNG041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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   : Sun Aug 27 01:57:28 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.X1guNGTdKh/cvc5---1.0.5_5294.p...
% 0.20/0.50  ------- get file name : TPTP file name is RNG041-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5294.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.59/3.78  % SZS status Unsatisfiable for RNG041-1
% 3.59/3.78  % SZS output start Proof for RNG041-1
% 3.59/3.78  (
% 3.59/3.78  (let ((_let_1 (not (= tptp.b tptp.additive_identity)))) (let ((_let_2 (not (= tptp.a tptp.additive_identity)))) (let ((_let_3 (tptp.product tptp.a tptp.b tptp.additive_identity))) (let ((_let_4 (forall ((A $$unsorted)) (or (tptp.product (tptp.h A) A tptp.multiplicative_identity) (= A tptp.additive_identity))))) (let ((_let_5 (forall ((A $$unsorted)) (tptp.product tptp.multiplicative_identity A A)))) (let ((_let_6 (forall ((A $$unsorted)) (tptp.product A tptp.additive_identity tptp.additive_identity)))) (let ((_let_7 (forall ((A $$unsorted)) (tptp.product tptp.additive_identity A tptp.additive_identity)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum X Y V)) (= U V))))) (let ((_let_9 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.product V3 X V4)) (tptp.sum V1 V2 V4))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product X V W)) (tptp.product U Z W))))) (let ((_let_11 (forall ((X $$unsorted)) (tptp.sum X tptp.additive_identity X)))) (let ((_let_12 (forall ((X $$unsorted)) (tptp.sum tptp.additive_identity X X)))) (let ((_let_13 (= tptp.additive_identity tptp.b))) (let ((_let_14 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.b))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.sum tptp.additive_identity tptp.additive_identity tptp.additive_identity))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (_let_8))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (tptp.product tptp.multiplicative_identity tptp.b tptp.b))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.sum tptp.multiplicative_identity tptp.additive_identity tptp.multiplicative_identity))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.product tptp.additive_identity tptp.b tptp.additive_identity))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.product tptp.multiplicative_identity tptp.b tptp.additive_identity))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_25 _let_23 _let_14))) (let ((_let_31 (_let_9))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (_let_5))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (tptp.h tptp.a))) (let ((_let_36 (tptp.product _let_35 tptp.additive_identity tptp.additive_identity))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_3))) (let ((_let_39 (tptp.product _let_35 tptp.a tptp.multiplicative_identity))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38 _let_37 _let_28))) (let ((_let_42 (_let_10))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (_let_6))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (= tptp.additive_identity tptp.a))) (let ((_let_47 (or _let_39 _let_46))) (let ((_let_48 (forall ((A $$unsorted)) (or (tptp.product (tptp.h A) A tptp.multiplicative_identity) (= tptp.additive_identity A))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_7))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (_let_11))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_12))) (let ((_let_55 (ASSUME :args _let_54))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.sum X Y U) false)) (not (= (tptp.sum X Y V) false))))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_13 _let_17 _let_15 _let_21))) (SYMM (ASSUME :args (_let_1))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.additive_identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sum tptp.additive_identity X X) true))))) :args _let_54)) _let_55 :args (_let_16 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_25 _let_27 _let_29 _let_14 _let_23 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.multiplicative_identity QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_24 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.additive_identity A tptp.additive_identity) true))))) :args _let_50)) _let_51 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_38 _let_40 _let_37 _let_28 (not _let_41)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_39 (not _let_47)))) (SYMM (ASSUME :args (_let_2))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_39 true _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product A tptp.additive_identity tptp.additive_identity) true))))) :args _let_44)) _let_45 :args (_let_36 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_35 tptp.a tptp.multiplicative_identity tptp.b tptp.additive_identity tptp.additive_identity QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product X Y U) false)) (not (= (tptp.product Y Z V) false)) (not (= (tptp.product X V W) false))))) :args _let_42)) _let_43 :args (_let_41 false _let_10)) :args (_let_28 false _let_3 false _let_39 false _let_36 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.product tptp.multiplicative_identity A A) true))))) :args _let_33)) _let_34 :args (_let_22 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.multiplicative_identity tptp.b tptp.additive_identity tptp.additive_identity tptp.additive_identity tptp.multiplicative_identity tptp.b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.product Z X V2) false)) (not (= (tptp.sum Y Z V3) false)) (not (= (tptp.sum V1 V2 V4) true))))) :args _let_31)) _let_32 :args (_let_30 false _let_9)) :args (_let_14 false _let_24 false _let_26 false _let_28 false _let_22 false _let_30)) :args (_let_21 true _let_13 false _let_16 false _let_14)) _let_20 :args (false true _let_18 false _let_8)) :args (_let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.product X Y (tptp.multiply X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.sum X Y (tptp.add X Y))) (forall ((X $$unsorted)) (tptp.sum (tptp.additive_inverse X) X tptp.additive_identity)) (forall ((X $$unsorted)) (tptp.sum X (tptp.additive_inverse X) tptp.additive_identity)) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum U Z W)) (tptp.sum X V W))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.sum X Y U)) (not (tptp.sum Y Z V)) (not (tptp.sum X V W)) (tptp.sum U Z W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.sum X Y Z)) (tptp.sum Y X Z))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (Z $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product Y Z V)) (not (tptp.product U Z W)) (tptp.product X V W))) _let_10 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.product X V3 V4)) (tptp.sum V1 V2 V4))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product X Y V1)) (not (tptp.product X Z V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product X V3 V4))) _let_9 (forall ((Y $$unsorted) (X $$unsorted) (V1 $$unsorted) (Z $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted)) (or (not (tptp.product Y X V1)) (not (tptp.product Z X V2)) (not (tptp.sum Y Z V3)) (not (tptp.sum V1 V2 V4)) (tptp.product V3 X V4))) _let_8 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.product X Y U)) (not (tptp.product X Y V)) (= U V))) _let_7 _let_6 (forall ((A $$unsorted)) (tptp.product A tptp.multiplicative_identity A)) _let_5 (forall ((A $$unsorted)) (or (tptp.product A (tptp.h A) tptp.multiplicative_identity) (= A tptp.additive_identity))) _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.59/3.78  )
% 3.59/3.78  % SZS output end Proof for RNG041-1
% 3.59/3.78  % cvc5---1.0.5 exiting
% 3.59/3.79  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------