TSTP Solution File: GRP012-4 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP012-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 00:23:58 EDT 2023

% Result   : Unsatisfiable 11.28s 11.55s
% Output   : Proof 11.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GRP012-4 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11  % Command    : do_cvc5 %s %d
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 29 02:13:13 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.42  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.rGVeUbHg9R/cvc5---1.0.5_3944.p...
% 0.16/0.42  ------- get file name : TPTP file name is GRP012-4
% 0.16/0.42  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3944.smt2...
% 0.16/0.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.53/10.75  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.28/11.55  % SZS status Unsatisfiable for GRP012-4
% 11.28/11.55  % SZS output start Proof for GRP012-4
% 11.28/11.55  (
% 11.28/11.55  (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.inverse tptp.b))) (let ((_let_3 (tptp.multiply tptp.a tptp.b))) (let ((_let_4 (tptp.inverse _let_3))) (let ((_let_5 (= _let_4 (tptp.multiply _let_2 _let_1)))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.identity)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.identity) X)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_12 (tptp.multiply tptp.b _let_4))) (let ((_let_13 (tptp.multiply _let_2 tptp.b))) (let ((_let_14 (= (tptp.multiply _let_13 _let_4) (tptp.multiply _let_2 _let_12)))) (let ((_let_15 (_let_9))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.multiply tptp.a _let_12))) (let ((_let_18 (tptp.multiply _let_1 tptp.a))) (let ((_let_19 (= (tptp.multiply _let_18 _let_12) (tptp.multiply _let_1 _let_17)))) (let ((_let_20 (tptp.multiply _let_3 _let_4))) (let ((_let_21 (= _let_20 _let_17))) (let ((_let_22 (tptp.multiply tptp.identity tptp.b))) (let ((_let_23 (= (tptp.multiply _let_22 _let_4) (tptp.multiply tptp.identity _let_12)))) (let ((_let_24 (= _let_1 (tptp.multiply _let_1 tptp.identity)))) (let ((_let_25 (= _let_4 (tptp.multiply tptp.identity _let_4)))) (let ((_let_26 (= tptp.identity _let_20))) (let ((_let_27 (= tptp.identity _let_13))) (let ((_let_28 (= tptp.b _let_22))) (let ((_let_29 (= tptp.identity _let_18))) (let ((_let_30 (not _let_14))) (let ((_let_31 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.identity))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (_let_33))) (let ((_let_36 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_42 (ASSUME :args (_let_6)))) (let ((_let_43 (and _let_6 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_21 _let_19))) (let ((_let_44 (APPLY_UF tptp.multiply))) (let ((_let_45 (ASSUME :args (_let_24)))) (let ((_let_46 (ASSUME :args (_let_26)))) (let ((_let_47 (ASSUME :args (_let_21)))) (let ((_let_48 (ASSUME :args (_let_19)))) (let ((_let_49 (ASSUME :args (_let_29)))) (let ((_let_50 (ASSUME :args (_let_23)))) (let ((_let_51 (REFL :args (_let_4)))) (let ((_let_52 (ASSUME :args (_let_28)))) (let ((_let_53 (ASSUME :args (_let_25)))) (let ((_let_54 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_2 tptp.b _let_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_54 _let_42 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_52) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_54) _let_51 :args _let_44) (SYMM _let_53)) (CONG (REFL :args (_let_2)) (TRANS (CONG (SYMM (SYMM _let_52)) _let_51 :args _let_44) (SYMM (SYMM _let_50)) (CONG (SYMM (SYMM _let_49)) (REFL :args (_let_12)) :args _let_44) (SYMM (SYMM _let_48)) (CONG (REFL :args (_let_1)) (TRANS (SYMM _let_47) (SYMM _let_46)) :args _let_44) (SYMM _let_45)) :args _let_44) :args (=)) (FALSE_INTRO _let_42))) :args (_let_25 _let_27 _let_6 _let_24 _let_26 _let_21 _let_19 _let_29 _let_23 _let_28))) :args (_let_6 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_21 _let_19))) :args (true _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (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_21))) (REFL :args ((not _let_19))) (REFL :args (_let_30)) :args (or))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_39 :args (_let_29 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_41) :args _let_35)) _let_34 :args (_let_28 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_41) :args _let_40)) _let_39 :args (_let_27 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_3 QUANTIFIERS_INST_ENUM)) :args (_let_36))) _let_37 :args (_let_26 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_35)) _let_34 :args (_let_25 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args (_let_31))) _let_32 :args (_let_24 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.identity tptp.b _let_4 QUANTIFIERS_INST_ENUM)) :args _let_15)) _let_16 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a tptp.b _let_4 QUANTIFIERS_INST_ENUM)) :args _let_15)) _let_16 :args (_let_21 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_1 tptp.a _let_12 QUANTIFIERS_INST_CBQI_PROP)) :args _let_15)) _let_16 :args (_let_19 false _let_9)) :args (_let_30 true _let_5 false _let_29 false _let_28 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_21 false _let_19)) _let_16 :args (false true _let_14 false _let_9)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.28/11.55  )
% 11.28/11.55  % SZS output end Proof for GRP012-4
% 11.28/11.56  % cvc5---1.0.5 exiting
% 11.28/11.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------