TSTP Solution File: RNG014-6 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG014-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 12.06s 12.33s
% Output   : Proof 12.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG014-6 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun Aug 27 01:58:41 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DbkNdpWS5k/cvc5---1.0.5_30160.p...
% 0.20/0.49  ------- get file name : TPTP file name is RNG014-6
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30160.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.50/10.69  --- Run --no-e-matching --full-saturate-quant at 5...
% 12.06/12.33  % SZS status Unsatisfiable for RNG014-6
% 12.06/12.33  % SZS output start Proof for RNG014-6
% 12.16/12.33  (
% 12.16/12.33  (let ((_let_1 (tptp.multiply tptp.a tptp.b))) (let ((_let_2 (tptp.additive_inverse _let_1))) (let ((_let_3 (tptp.additive_inverse tptp.b))) (let ((_let_4 (tptp.multiply tptp.a _let_3))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.additive_identity) tptp.additive_identity)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_14 (tptp.add _let_4 _let_1))) (let ((_let_15 (tptp.add _let_1 _let_2))) (let ((_let_16 (= (tptp.add _let_4 _let_15) (tptp.add _let_14 _let_2)))) (let ((_let_17 (_let_7))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.add tptp.b _let_3))) (let ((_let_20 (tptp.add _let_1 _let_4))) (let ((_let_21 (= _let_20 (tptp.multiply tptp.a _let_19)))) (let ((_let_22 (= _let_14 _let_20))) (let ((_let_23 (= _let_4 (tptp.add _let_4 tptp.additive_identity)))) (let ((_let_24 (= tptp.additive_identity (tptp.multiply tptp.a tptp.additive_identity)))) (let ((_let_25 (= _let_2 (tptp.add tptp.additive_identity _let_2)))) (let ((_let_26 (= tptp.additive_identity _let_15))) (let ((_let_27 (= tptp.additive_identity _let_19))) (let ((_let_28 (not _let_16))) (let ((_let_29 (_let_9))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (_let_8))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.multiply X tptp.additive_identity))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (ASSUME :args (_let_6)))) (let ((_let_43 (and _let_6 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21))) (let ((_let_44 (ASSUME :args (_let_25)))) (let ((_let_45 (APPLY_UF tptp.add))) (let ((_let_46 (ASSUME :args (_let_24)))) (let ((_let_47 (ASSUME :args (_let_27)))) (let ((_let_48 (ASSUME :args (_let_21)))) (let ((_let_49 (ASSUME :args (_let_22)))) (let ((_let_50 (ASSUME :args (_let_23)))) (let ((_let_51 (ASSUME :args (_let_26)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_4 _let_1 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_17)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_51 _let_42 _let_44 _let_46 _let_47 _let_48 _let_49) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_4)) (SYMM _let_51) :args _let_45) (SYMM _let_50)) (TRANS (CONG (TRANS (SYMM (SYMM _let_49)) (SYMM (SYMM _let_48)) (CONG (REFL :args (tptp.a)) (SYMM _let_47) :args (APPLY_UF tptp.multiply)) (SYMM _let_46)) (REFL :args (_let_2)) :args _let_45) (SYMM _let_44)) :args (=)) (FALSE_INTRO _let_42))) :args (_let_23 _let_26 _let_6 _let_25 _let_24 _let_27 _let_21 _let_22))) :args (_let_6 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21))) :args (true _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_27))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args (_let_28)) :args (or))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_40 :args (_let_27 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_41)) _let_40 :args (_let_26 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_2 QUANTIFIERS_INST_ENUM)) :args (_let_37))) _let_38 :args (_let_25 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args (_let_35))) _let_36 :args (_let_24 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args (_let_33))) _let_34 :args (_let_23 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_4 _let_1 QUANTIFIERS_INST_ENUM)) :args _let_31)) _let_32 :args (_let_22 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a tptp.b _let_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_29))) _let_30 :args (_let_21 false _let_9)) :args (_let_28 true _let_5 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_22 false _let_21)) _let_18 :args (false true _let_16 false _let_7)) :args (_let_13 _let_12 (forall ((X $$unsorted)) (= (tptp.multiply tptp.additive_identity X) tptp.additive_identity)) _let_11 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)) _let_10 (forall ((X $$unsorted)) (= (tptp.additive_inverse (tptp.additive_inverse X)) X)) _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))) _let_8 _let_7 (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_6))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.16/12.33  )
% 12.16/12.33  % SZS output end Proof for RNG014-6
% 12.16/12.33  % cvc5---1.0.5 exiting
% 12.16/12.34  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------