TSTP Solution File: COL003-8 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL003-8 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 : Wed Aug 30 18:22:57 EDT 2023

% Result   : Unsatisfiable 0.18s 0.70s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL003-8 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n028.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 04:21:23 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.18/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.O1PVNsSvKj/cvc5---1.0.5_8285.p...
% 0.18/0.47  ------- get file name : TPTP file name is COL003-8
% 0.18/0.47  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8285.smt2...
% 0.18/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.70  % SZS status Unsatisfiable for COL003-8
% 0.18/0.70  % SZS output start Proof for COL003-8
% 0.18/0.70  (
% 0.18/0.70  (let ((_let_1 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b))) (let ((_let_2 (tptp.apply tptp.b tptp.w))) (let ((_let_3 (tptp.apply tptp.w tptp.w))) (let ((_let_4 (tptp.apply (tptp.apply tptp.b _let_3) _let_2))) (let ((_let_5 (tptp.apply (tptp.apply tptp.b _let_4) _let_1))) (let ((_let_6 (tptp.fixed_point _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((Strong_fixed_point $$unsorted)) (let ((_let_1 (tptp.apply Strong_fixed_point tptp.fixed_pt))) (or (not (= _let_1 (tptp.apply tptp.fixed_pt _let_1))) (tptp.fixed_point Strong_fixed_point)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.w X) Y) (tptp.apply (tptp.apply X Y) Y))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z) (tptp.apply X (tptp.apply Y Z)))))) (let ((_let_11 (tptp.apply _let_5 tptp.fixed_pt))) (let ((_let_12 (= _let_11 (tptp.apply tptp.fixed_pt _let_11)))) (let ((_let_13 (tptp.apply _let_1 tptp.fixed_pt))) (let ((_let_14 (tptp.apply _let_4 _let_13))) (let ((_let_15 (= _let_11 _let_14))) (let ((_let_16 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_17 (tptp.apply tptp.b _let_16))) (let ((_let_18 (= _let_13 _let_17))) (let ((_let_19 (tptp.apply _let_2 _let_13))) (let ((_let_20 (tptp.apply _let_3 _let_19))) (let ((_let_21 (= _let_14 _let_20))) (let ((_let_22 (tptp.apply (tptp.apply tptp.w _let_19) _let_19))) (let ((_let_23 (= _let_20 _let_22))) (let ((_let_24 (tptp.apply _let_19 _let_19))) (let ((_let_25 (tptp.apply _let_24 _let_19))) (let ((_let_26 (= _let_22 _let_25))) (let ((_let_27 (tptp.apply _let_13 _let_19))) (let ((_let_28 (tptp.apply tptp.w _let_27))) (let ((_let_29 (= _let_24 _let_28))) (let ((_let_30 (tptp.apply _let_16 _let_24))) (let ((_let_31 (= (tptp.apply _let_30 _let_19) (tptp.apply tptp.fixed_pt _let_25)))) (let ((_let_32 (= _let_30 (tptp.apply (tptp.apply _let_17 _let_19) _let_19)))) (let ((_let_33 (= (tptp.apply _let_28 _let_19) (tptp.apply (tptp.apply _let_27 _let_19) _let_19)))) (let ((_let_34 (not _let_12))) (let ((_let_35 (or _let_34 _let_6))) (let ((_let_36 (_let_8))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_10))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_41 (_let_9))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.apply (tptp.apply tptp.w X) Y)))) (let ((_let_44 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_45 (and _let_34 _let_15 _let_18 _let_21 _let_23 _let_26 _let_29 _let_31 _let_32))) (let ((_let_46 (ASSUME :args (_let_34)))) (let ((_let_47 (APPLY_UF tptp.apply))) (let ((_let_48 (ASSUME :args (_let_15)))) (let ((_let_49 (SYMM _let_48))) (let ((_let_50 (REFL :args (tptp.fixed_pt)))) (let ((_let_51 (ASSUME :args (_let_21)))) (let ((_let_52 (SYMM _let_51))) (let ((_let_53 (ASSUME :args (_let_23)))) (let ((_let_54 (SYMM _let_53))) (let ((_let_55 (ASSUME :args (_let_26)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (ASSUME :args (_let_31)))) (let ((_let_58 (REFL :args (_let_19)))) (let ((_let_59 (ASSUME :args (_let_32)))) (let ((_let_60 (ASSUME :args (_let_18)))) (let ((_let_61 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_45)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_48 _let_51 _let_53 _let_55 _let_61 _let_57 _let_59 _let_60) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_61) _let_58 :args _let_47) _let_56 _let_54 _let_52 _let_49) (TRANS (CONG (TRANS (CONG (CONG (SYMM (SYMM _let_60)) _let_58 :args _let_47) _let_58 :args _let_47) (SYMM _let_59)) _let_58 :args _let_47) (SYMM (SYMM _let_57)) (CONG _let_50 (TRANS _let_56 _let_54 _let_52) :args _let_47) (CONG _let_50 _let_49 :args _let_47)) :args (=)) (FALSE_INTRO _let_46))) :args (_let_34 _let_15 _let_21 _let_23 _let_26 _let_29 _let_31 _let_32 _let_18))) :args (_let_34 _let_15 _let_18 _let_21 _let_23 _let_26 _let_29 _let_31 _let_32))) :args (true _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_12))) (REFL :args ((not _let_15))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_23))) (REFL :args ((not _let_26))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_32))) (REFL :args ((not _let_33))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_27 _let_19 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_16 _let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_38))) _let_39 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.fixed_pt _let_24 _let_19 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_38)) _let_39 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.w _let_13 _let_19 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_29 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_26 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.w _let_19 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_3 _let_2 _let_13 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_18 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_4 _let_1 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_15 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_6 _let_34 (not _let_35)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Strong_fixed_point) true))))) :args _let_36)) _let_37 :args (_let_35 false _let_8)) :args (_let_34 true _let_6 false _let_35)) :args (false false _let_33 false _let_32 false _let_31 false _let_29 false _let_26 false _let_23 false _let_21 false _let_18 false _let_15 true _let_12)) :args (_let_10 _let_9 _let_8 _let_7))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.70  )
% 0.18/0.70  % SZS output end Proof for COL003-8
% 0.18/0.70  % cvc5---1.0.5 exiting
% 0.18/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------