TSTP Solution File: COL003-15 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL003-15 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 18:22:54 EDT 2023

% Result   : Unsatisfiable 0.19s 0.62s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL003-15 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun Aug 27 04:25:18 EDT 2023
% 0.12/0.35  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.AywA54uV7v/cvc5---1.0.5_692.p...
% 0.19/0.50  ------- get file name : TPTP file name is COL003-15
% 0.19/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_692.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.62  % SZS status Unsatisfiable for COL003-15
% 0.19/0.62  % SZS output start Proof for COL003-15
% 0.19/0.62  (
% 0.19/0.62  (let ((_let_1 (tptp.apply tptp.strong_fixed_point tptp.fixed_pt))) (let ((_let_2 (= _let_1 (tptp.apply tptp.fixed_pt _let_1)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b))) (let ((_let_5 (tptp.apply tptp.w tptp.w))) (let ((_let_6 (tptp.apply (tptp.apply tptp.b _let_5) tptp.w))) (let ((_let_7 (tptp.apply (tptp.apply tptp.b _let_6) _let_4))) (let ((_let_8 (= tptp.strong_fixed_point _let_7))) (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_4 tptp.fixed_pt))) (let ((_let_12 (tptp.apply _let_6 _let_11))) (let ((_let_13 (= (tptp.apply _let_7 tptp.fixed_pt) _let_12))) (let ((_let_14 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_15 (tptp.apply tptp.b _let_14))) (let ((_let_16 (= _let_11 _let_15))) (let ((_let_17 (tptp.apply tptp.w _let_11))) (let ((_let_18 (tptp.apply _let_5 _let_17))) (let ((_let_19 (= _let_12 _let_18))) (let ((_let_20 (tptp.apply (tptp.apply tptp.w _let_17) _let_17))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.apply (tptp.apply tptp.b tptp.w) tptp.b))) (let ((_let_23 (tptp.apply _let_22 _let_14))) (let ((_let_24 (= _let_23 (tptp.apply tptp.w _let_15)))) (let ((_let_25 (tptp.apply _let_17 _let_17))) (let ((_let_26 (tptp.apply _let_25 _let_17))) (let ((_let_27 (= _let_20 _let_26))) (let ((_let_28 (tptp.apply _let_14 _let_25))) (let ((_let_29 (= (tptp.apply _let_28 _let_17) (tptp.apply tptp.fixed_pt _let_26)))) (let ((_let_30 (= _let_23 (tptp.apply (tptp.apply (tptp.apply tptp.b _let_22) tptp.b) tptp.fixed_pt)))) (let ((_let_31 (= _let_25 (tptp.apply (tptp.apply _let_11 _let_17) _let_17)))) (let ((_let_32 (= _let_28 (tptp.apply (tptp.apply _let_15 _let_17) _let_17)))) (let ((_let_33 (ASSUME :args (_let_8)))) (let ((_let_34 (_let_10))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_37 (_let_9))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.apply (tptp.apply tptp.w X) Y)))) (let ((_let_40 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_41 (and _let_8 _let_13 _let_16 _let_19 _let_21 _let_24 _let_27 _let_29 _let_30 _let_31 _let_32))) (let ((_let_42 (APPLY_UF tptp.apply))) (let ((_let_43 (REFL :args (tptp.fixed_pt)))) (let ((_let_44 (CONG (SYMM _let_33) _let_43 :args _let_42))) (let ((_let_45 (ASSUME :args (_let_13)))) (let ((_let_46 (ASSUME :args (_let_19)))) (let ((_let_47 (ASSUME :args (_let_21)))) (let ((_let_48 (ASSUME :args (_let_27)))) (let ((_let_49 (ASSUME :args (_let_29)))) (let ((_let_50 (ASSUME :args (_let_16)))) (let ((_let_51 (ASSUME :args (_let_24)))) (let ((_let_52 (ASSUME :args (_let_30)))) (let ((_let_53 (TRANS (SYMM _let_52) (SYMM (SYMM _let_51)) (CONG (REFL :args (tptp.w)) (SYMM _let_50) :args _let_42)))) (let ((_let_54 (ASSUME :args (_let_32)))) (let ((_let_55 (REFL :args (_let_17)))) (let ((_let_56 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_33 _let_45 _let_46 _let_47 _let_48 _let_49 _let_54 _let_50 _let_56 _let_51 _let_52) (SCOPE (TRANS (SYMM _let_44) _let_45 _let_46 _let_47 _let_48 (CONG (REFL :args (_let_25)) (SYMM _let_53) :args _let_42) (CONG (TRANS (SYMM (SYMM _let_56)) (CONG (CONG _let_50 _let_55 :args _let_42) _let_55 :args _let_42) (SYMM _let_54)) _let_53 :args _let_42) (SYMM (SYMM _let_49)) (CONG _let_43 (TRANS (SYMM _let_48) (SYMM _let_47) (SYMM _let_46)) :args _let_42) (CONG _let_43 (TRANS (SYMM _let_45) _let_44) :args _let_42)) :args (_let_8 _let_13 _let_19 _let_21 _let_27 _let_29 _let_32 _let_16 _let_31 _let_24 _let_30))) :args (_let_8 _let_13 _let_16 _let_19 _let_21 _let_24 _let_27 _let_29 _let_30 _let_31 _let_32))) :args (true _let_41)) :args ((or _let_2 (not _let_8) (not _let_13) (not _let_16) (not _let_19) (not _let_21) (not _let_24) (not _let_27) (not _let_29) (not _let_30) (not _let_31) (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_14 _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34))) _let_35 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_11 _let_17 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_22 tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_34))) _let_35 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.fixed_pt _let_25 _let_17 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_34)) _let_35 :args (_let_29 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_27 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.w tptp.b _let_14 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_34)) _let_35 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.w _let_17 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_21 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_5 tptp.w _let_11 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_19 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_16 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_6 _let_4 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_13 false _let_10)) (ASSUME :args (_let_3)) _let_33 :args (false false _let_32 false _let_31 false _let_30 false _let_29 false _let_27 false _let_24 false _let_21 false _let_19 false _let_16 false _let_13 true _let_2 false _let_8)) :args (_let_10 _let_9 _let_8 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.62  )
% 0.19/0.62  % SZS output end Proof for COL003-15
% 0.19/0.63  % cvc5---1.0.5 exiting
% 0.19/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------