TSTP Solution File: RNG016-6 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG016-6 : TPTP v8.1.2. Released v1.0.0.
% 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 13:49:29 EDT 2023

% Result   : Unsatisfiable 11.64s 11.95s
% Output   : Proof 11.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : RNG016-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.18/0.34  % Computer : n027.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit   : 300
% 0.18/0.34  % WCLimit    : 300
% 0.18/0.34  % DateTime   : Sun Aug 27 02:56:50 EDT 2023
% 0.18/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.LanHIvC3cx/cvc5---1.0.5_31482.p...
% 0.20/0.49  ------- get file name : TPTP file name is RNG016-6
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31482.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.51/10.75  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.64/11.95  % SZS status Unsatisfiable for RNG016-6
% 11.64/11.95  % SZS output start Proof for RNG016-6
% 11.64/11.95  (
% 11.64/11.95  (let ((_let_1 (tptp.multiply tptp.y tptp.z))) (let ((_let_2 (tptp.additive_inverse _let_1))) (let ((_let_3 (tptp.multiply tptp.x tptp.z))) (let ((_let_4 (tptp.additive_inverse tptp.y))) (let ((_let_5 (tptp.multiply (tptp.add tptp.x _let_4) tptp.z))) (let ((_let_6 (= _let_5 (tptp.add _let_3 _let_2)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_15 (tptp.multiply _let_4 tptp.z))) (let ((_let_16 (= _let_5 (tptp.add _let_3 _let_15)))) (let ((_let_17 (_let_9))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.add _let_2 _let_1))) (let ((_let_20 (tptp.add _let_1 _let_15))) (let ((_let_21 (= (tptp.add _let_2 _let_20) (tptp.add _let_19 _let_15)))) (let ((_let_22 (tptp.add tptp.y _let_4))) (let ((_let_23 (= (tptp.multiply _let_22 tptp.z) _let_20))) (let ((_let_24 (tptp.multiply tptp.additive_identity tptp.z))) (let ((_let_25 (tptp.add tptp.additive_identity _let_4))) (let ((_let_26 (= (tptp.multiply _let_25 tptp.z) (tptp.add _let_24 _let_15)))) (let ((_let_27 (= _let_2 (tptp.add _let_2 tptp.additive_identity)))) (let ((_let_28 (= tptp.additive_identity _let_19))) (let ((_let_29 (= _let_4 _let_25))) (let ((_let_30 (= tptp.additive_identity _let_24))) (let ((_let_31 (= tptp.additive_identity _let_22))) (let ((_let_32 (not _let_16))) (let ((_let_33 (_let_8))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply tptp.additive_identity X))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (ASSUME :args (_let_7)))) (let ((_let_46 (and _let_7 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_23 _let_21))) (let ((_let_47 (APPLY_UF tptp.add))) (let ((_let_48 (ASSUME :args (_let_27)))) (let ((_let_49 (ASSUME :args (_let_30)))) (let ((_let_50 (SYMM _let_49))) (let ((_let_51 (APPLY_UF tptp.multiply))) (let ((_let_52 (REFL :args (tptp.z)))) (let ((_let_53 (ASSUME :args (_let_31)))) (let ((_let_54 (ASSUME :args (_let_23)))) (let ((_let_55 (ASSUME :args (_let_21)))) (let ((_let_56 (ASSUME :args (_let_28)))) (let ((_let_57 (ASSUME :args (_let_26)))) (let ((_let_58 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.x _let_4 tptp.z QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_48 _let_49 _let_53 _let_54 _let_55 _let_56 _let_57 _let_58) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_5)) (CONG (REFL :args (_let_3)) (TRANS (CONG (SYMM (SYMM _let_58)) _let_52 :args _let_51) (SYMM (SYMM _let_57)) (CONG (TRANS _let_50 (SYMM (SYMM _let_56))) (REFL :args (_let_15)) :args _let_47) (SYMM _let_55) (CONG (REFL :args (_let_2)) (TRANS (SYMM _let_54) (CONG (SYMM _let_53) _let_52 :args _let_51) _let_50) :args _let_47) (SYMM _let_48)) :args _let_47) :args (=)) (FALSE_INTRO _let_45))) :args (_let_7 _let_27 _let_30 _let_31 _let_23 _let_21 _let_28 _let_26 _let_29))) :args (_let_7 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_23 _let_21))) :args (true _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args (_let_32)) :args (or))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.y QUANTIFIERS_INST_ENUM)) :args (_let_43))) _let_44 :args (_let_31 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.z QUANTIFIERS_INST_ENUM)) :args (_let_41))) _let_42 :args (_let_30 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args (_let_39))) _let_40 :args (_let_29 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args (_let_37))) _let_38 :args (_let_28 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 QUANTIFIERS_INST_ENUM)) :args (_let_35))) _let_36 :args (_let_27 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.additive_identity _let_4 tptp.z QUANTIFIERS_INST_ENUM)) :args _let_17)) _let_18 :args (_let_26 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.y _let_4 tptp.z QUANTIFIERS_INST_ENUM)) :args _let_17)) _let_18 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_2 _let_1 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_33)) _let_34 :args (_let_21 false _let_8)) :args (_let_32 true _let_6 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_23 false _let_21)) _let_18 :args (false true _let_16 false _let_9)) :args (_let_14 _let_13 _let_12 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)) _let_11 _let_10 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))) _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Y) (tptp.multiply X (tptp.multiply Y Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply (tptp.multiply X X) Y) (tptp.multiply X (tptp.multiply X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.associator X Y Z) (tptp.add (tptp.multiply (tptp.multiply X Y) Z) (tptp.additive_inverse (tptp.multiply X (tptp.multiply Y Z)))))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.commutator X Y) (tptp.add (tptp.multiply Y X) (tptp.additive_inverse (tptp.multiply X Y))))) _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.64/11.95  )
% 11.64/11.96  % SZS output end Proof for RNG016-6
% 11.64/11.96  % cvc5---1.0.5 exiting
% 11.64/11.96  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------