TSTP Solution File: COL003-14 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL003-14 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 18:22:53 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : COL003-14 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 04:24:42 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Up1rpLbeBN/cvc5---1.0.5_17425.p...
% 0.20/0.50  ------- get file name : TPTP file name is COL003-14
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17425.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.62  % SZS status Unsatisfiable for COL003-14
% 0.20/0.62  % SZS output start Proof for COL003-14
% 0.20/0.63  (
% 0.20/0.63  (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.b tptp.w))) (let ((_let_5 (tptp.apply _let_4 tptp.b))) (let ((_let_6 (tptp.apply tptp.w tptp.w))) (let ((_let_7 (tptp.apply (tptp.apply tptp.b _let_6) _let_5))) (let ((_let_8 (tptp.apply (tptp.apply tptp.b _let_7) tptp.b))) (let ((_let_9 (= tptp.strong_fixed_point _let_8))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.w X) Y) (tptp.apply (tptp.apply X Y) Y))))) (let ((_let_11 (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_12 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_13 (tptp.apply _let_7 _let_12))) (let ((_let_14 (= (tptp.apply _let_8 tptp.fixed_pt) _let_13))) (let ((_let_15 (tptp.apply _let_5 _let_12))) (let ((_let_16 (tptp.apply _let_6 _let_15))) (let ((_let_17 (= _let_13 _let_16))) (let ((_let_18 (tptp.apply tptp.b _let_12))) (let ((_let_19 (tptp.apply tptp.w _let_18))) (let ((_let_20 (= _let_15 _let_19))) (let ((_let_21 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b))) (let ((_let_22 (tptp.apply _let_21 tptp.fixed_pt))) (let ((_let_23 (= _let_18 _let_22))) (let ((_let_24 (tptp.apply (tptp.apply tptp.w _let_15) _let_15))) (let ((_let_25 (= _let_16 _let_24))) (let ((_let_26 (= (tptp.apply (tptp.apply _let_4 _let_21) tptp.fixed_pt) (tptp.apply tptp.w _let_22)))) (let ((_let_27 (tptp.apply _let_15 _let_15))) (let ((_let_28 (tptp.apply _let_27 _let_15))) (let ((_let_29 (= _let_24 _let_28))) (let ((_let_30 (tptp.apply _let_12 _let_27))) (let ((_let_31 (= (tptp.apply _let_30 _let_15) (tptp.apply tptp.fixed_pt _let_28)))) (let ((_let_32 (tptp.apply (tptp.apply _let_18 _let_15) _let_15))) (let ((_let_33 (= (tptp.apply _let_19 _let_15) _let_32))) (let ((_let_34 (= _let_30 _let_32))) (let ((_let_35 (ASSUME :args (_let_9)))) (let ((_let_36 (_let_11))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_39 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_40 (_let_10))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.apply (tptp.apply tptp.w X) Y)))) (let ((_let_43 (and _let_9 _let_14 _let_17 _let_20 _let_23 _let_25 _let_26 _let_29 _let_31 _let_33 _let_34))) (let ((_let_44 (APPLY_UF tptp.apply))) (let ((_let_45 (REFL :args (tptp.fixed_pt)))) (let ((_let_46 (CONG (SYMM _let_35) _let_45 :args _let_44))) (let ((_let_47 (ASSUME :args (_let_14)))) (let ((_let_48 (ASSUME :args (_let_17)))) (let ((_let_49 (ASSUME :args (_let_25)))) (let ((_let_50 (ASSUME :args (_let_29)))) (let ((_let_51 (ASSUME :args (_let_31)))) (let ((_let_52 (ASSUME :args (_let_20)))) (let ((_let_53 (ASSUME :args (_let_23)))) (let ((_let_54 (ASSUME :args (_let_26)))) (let ((_let_55 (TRANS (SYMM (SYMM _let_54)) (CONG (REFL :args (tptp.w)) (SYMM _let_53) :args _let_44) (SYMM _let_52)))) (let ((_let_56 (ASSUME :args (_let_34)))) (let ((_let_57 (ASSUME :args (_let_33)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_35 _let_47 _let_48 _let_49 _let_50 _let_51 _let_56 _let_57 _let_52 _let_53 _let_54) (SCOPE (TRANS (SYMM _let_46) _let_47 _let_48 _let_49 _let_50 (CONG (REFL :args (_let_27)) (SYMM _let_55) :args _let_44) (CONG (TRANS (CONG _let_52 (REFL :args (_let_15)) :args _let_44) (SYMM (SYMM _let_57)) (SYMM _let_56)) _let_55 :args _let_44) (SYMM (SYMM _let_51)) (CONG _let_45 (TRANS (SYMM _let_50) (SYMM _let_49) (SYMM _let_48)) :args _let_44) (CONG _let_45 (TRANS (SYMM _let_47) _let_46) :args _let_44)) :args (_let_9 _let_14 _let_17 _let_25 _let_29 _let_31 _let_34 _let_33 _let_20 _let_23 _let_26))) :args (_let_9 _let_14 _let_17 _let_20 _let_23 _let_25 _let_26 _let_29 _let_31 _let_33 _let_34))) :args (true _let_43)) :args ((or _let_2 (not _let_9) (not _let_14) (not _let_17) (not _let_20) (not _let_23) (not _let_25) (not _let_26) (not _let_29) (not _let_31) (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_12 _let_15 _let_15 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36))) _let_37 :args (_let_34 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_18 _let_15 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.fixed_pt _let_27 _let_15 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_36)) _let_37 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_15 _let_15 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_29 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.w _let_21 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_36)) _let_37 :args (_let_26 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.w _let_15 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_25 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_36))) _let_37 :args (_let_23 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.w tptp.b _let_12 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_20 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_6 _let_5 _let_12 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_17 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_7 tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_14 false _let_11)) (ASSUME :args (_let_3)) _let_35 :args (false false _let_34 false _let_33 false _let_31 false _let_29 false _let_26 false _let_25 false _let_23 false _let_20 false _let_17 false _let_14 true _let_2 false _let_9)) :args (_let_11 _let_10 _let_9 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.63  )
% 0.20/0.63  % SZS output end Proof for COL003-14
% 0.20/0.63  % cvc5---1.0.5 exiting
% 0.20/0.63  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------