TSTP Solution File: COL042-9 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL042-9 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 18:23:06 EDT 2023

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : COL042-9 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Aug 27 04:37:08 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qNYzu1wTar/cvc5---1.0.5_22866.p...
% 0.21/0.49  ------- get file name : TPTP file name is COL042-9
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22866.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58  % SZS status Unsatisfiable for COL042-9
% 0.21/0.58  % SZS output start Proof for COL042-9
% 0.21/0.58  (
% 0.21/0.58  (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.b tptp.w1))) (let ((_let_6 (tptp.apply (tptp.apply tptp.b _let_5) _let_4))) (let ((_let_7 (tptp.apply tptp.w1 tptp.w1))) (let ((_let_8 (tptp.apply (tptp.apply tptp.b _let_7) _let_6))) (let ((_let_9 (= tptp.strong_fixed_point _let_8))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.w1 X) Y) (tptp.apply (tptp.apply Y X) X))))) (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 _let_6 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_4 tptp.fixed_pt))) (let ((_let_16 (tptp.apply _let_5 _let_15))) (let ((_let_17 (= _let_12 _let_16))) (let ((_let_18 (= _let_13 (tptp.apply (tptp.apply _let_12 tptp.w1) tptp.w1)))) (let ((_let_19 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_20 (tptp.apply tptp.b _let_19))) (let ((_let_21 (= _let_15 _let_20))) (let ((_let_22 (tptp.apply _let_15 tptp.w1))) (let ((_let_23 (tptp.apply tptp.w1 _let_22))) (let ((_let_24 (= (tptp.apply _let_16 tptp.w1) _let_23))) (let ((_let_25 (tptp.apply _let_23 _let_22))) (let ((_let_26 (= (tptp.apply _let_23 tptp.w1) _let_25))) (let ((_let_27 (tptp.apply _let_19 _let_23))) (let ((_let_28 (= (tptp.apply _let_27 _let_22) (tptp.apply tptp.fixed_pt _let_25)))) (let ((_let_29 (= _let_27 (tptp.apply (tptp.apply _let_20 tptp.w1) _let_22)))) (let ((_let_30 (= _let_25 (tptp.apply (tptp.apply _let_22 _let_22) _let_22)))) (let ((_let_31 (ASSUME :args (_let_9)))) (let ((_let_32 (ASSUME :args (_let_3)))) (let ((_let_33 (_let_11))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_36 (_let_10))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((tptp.apply (tptp.apply tptp.w1 X) Y)))) (let ((_let_39 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_40 (not _let_30))) (let ((_let_41 (not _let_29))) (let ((_let_42 (not _let_28))) (let ((_let_43 (not _let_26))) (let ((_let_44 (not _let_24))) (let ((_let_45 (not _let_21))) (let ((_let_46 (not _let_18))) (let ((_let_47 (not _let_17))) (let ((_let_48 (not _let_14))) (let ((_let_49 (not _let_9))) (let ((_let_50 (and _let_9 _let_3 _let_14 _let_17 _let_18 _let_21 _let_24 _let_26 _let_28 _let_29))) (let ((_let_51 (APPLY_UF tptp.apply))) (let ((_let_52 (REFL :args (tptp.fixed_pt)))) (let ((_let_53 (CONG (SYMM _let_31) _let_52 :args _let_51))) (let ((_let_54 (ASSUME :args (_let_14)))) (let ((_let_55 (SYMM _let_54))) (let ((_let_56 (ASSUME :args (_let_18)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (REFL :args (tptp.w1)))) (let ((_let_59 (ASSUME :args (_let_17)))) (let ((_let_60 (ASSUME :args (_let_24)))) (let ((_let_61 (TRANS (SYMM _let_60) (CONG (SYMM _let_59) _let_58 :args _let_51)))) (let ((_let_62 (CONG _let_61 _let_58 :args _let_51))) (let ((_let_63 (ASSUME :args (_let_26)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (ASSUME :args (_let_28)))) (let ((_let_66 (REFL :args (_let_22)))) (let ((_let_67 (CONG (REFL :args (_let_19)) (SYMM _let_61) :args _let_51))) (let ((_let_68 (ASSUME :args (_let_29)))) (let ((_let_69 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_32 _let_31 _let_54 _let_56 _let_59 _let_60 _let_63 _let_65 _let_68 _let_69) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_64 _let_62 _let_57 _let_55 _let_53) (TRANS (CONG (TRANS (TRANS (CONG (CONG (SYMM (SYMM _let_69)) _let_58 :args _let_51) _let_66 :args _let_51) (SYMM _let_68) (SYMM _let_67)) _let_67) _let_66 :args _let_51) (SYMM (SYMM _let_65)) (CONG _let_52 (TRANS _let_64 _let_62 _let_57) :args _let_51) (CONG _let_52 (TRANS _let_55 _let_53) :args _let_51)) :args (=)) (FALSE_INTRO _let_32))) :args (_let_3 _let_9 _let_14 _let_18 _let_17 _let_24 _let_26 _let_28 _let_29 _let_21))) :args (_let_9 _let_3 _let_14 _let_17 _let_18 _let_21 _let_24 _let_26 _let_28 _let_29))) :args (true _let_50)) (CONG (REFL :args (_let_49)) (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_46)) (REFL :args (_let_45)) (REFL :args (_let_44)) (REFL :args (_let_43)) (REFL :args (_let_42)) (REFL :args (_let_41)) (REFL :args (_let_40)) :args (or))) :args ((or _let_2 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_22 _let_22 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_19 tptp.w1 _let_22 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_33))) _let_34 :args (_let_29 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.fixed_pt _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_33)) _let_34 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_22 tptp.w1 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_26 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.w1 _let_15 tptp.w1 QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_24 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_21 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.w1 _let_12 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_18 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_5 _let_4 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_17 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_7 _let_6 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_35)) :args _let_33)) _let_34 :args (_let_14 false _let_11)) _let_32 _let_31 :args (false false _let_30 false _let_29 false _let_28 false _let_26 false _let_24 false _let_21 false _let_18 false _let_17 false _let_14 true _let_2 false _let_9)) :args (_let_11 _let_10 _let_9 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58  )
% 0.21/0.59  % SZS output end Proof for COL042-9
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------