TSTP Solution File: COL042-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL042-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 18:23:05 EDT 2023

% Result   : Unsatisfiable 0.46s 0.70s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COL042-3 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n023.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 04:27:26 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KkIZCeu0zc/cvc5---1.0.5_11467.p...
% 0.20/0.48  ------- get file name : TPTP file name is COL042-3
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11467.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.70  % SZS status Unsatisfiable for COL042-3
% 0.46/0.70  % SZS output start Proof for COL042-3
% 0.46/0.70  (
% 0.46/0.70  (let ((_let_1 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b))) (let ((_let_2 (tptp.apply tptp.b tptp.w1))) (let ((_let_3 (tptp.apply tptp.w1 tptp.w1))) (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 $$unsorted)) (= (tptp.apply (tptp.apply tptp.w1 X) Y) (tptp.apply (tptp.apply Y X) X))))) (let ((_let_10 (forall ((X $$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 _let_19 tptp.w1))) (let ((_let_23 (= _let_20 (tptp.apply _let_22 tptp.w1)))) (let ((_let_24 (tptp.apply _let_13 tptp.w1))) (let ((_let_25 (tptp.apply tptp.w1 _let_24))) (let ((_let_26 (= _let_22 _let_25))) (let ((_let_27 (tptp.apply _let_25 _let_24))) (let ((_let_28 (= (tptp.apply _let_25 tptp.w1) _let_27))) (let ((_let_29 (tptp.apply _let_16 _let_25))) (let ((_let_30 (= (tptp.apply _let_29 _let_24) (tptp.apply tptp.fixed_pt _let_27)))) (let ((_let_31 (= _let_29 (tptp.apply (tptp.apply _let_17 tptp.w1) _let_24)))) (let ((_let_32 (= _let_27 (tptp.apply (tptp.apply _let_24 _let_24) _let_24)))) (let ((_let_33 (not _let_12))) (let ((_let_34 (or _let_33 _let_6))) (let ((_let_35 (_let_8))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_10))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_40 (_let_9))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.apply (tptp.apply tptp.w1 X) Y)))) (let ((_let_43 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_44 (and _let_33 _let_15 _let_18 _let_21 _let_23 _let_26 _let_28 _let_30 _let_31))) (let ((_let_45 (ASSUME :args (_let_33)))) (let ((_let_46 (APPLY_UF tptp.apply))) (let ((_let_47 (ASSUME :args (_let_15)))) (let ((_let_48 (SYMM _let_47))) (let ((_let_49 (REFL :args (tptp.fixed_pt)))) (let ((_let_50 (ASSUME :args (_let_21)))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (ASSUME :args (_let_23)))) (let ((_let_53 (SYMM _let_52))) (let ((_let_54 (REFL :args (tptp.w1)))) (let ((_let_55 (ASSUME :args (_let_26)))) (let ((_let_56 (CONG (SYMM _let_55) _let_54 :args _let_46))) (let ((_let_57 (ASSUME :args (_let_28)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (ASSUME :args (_let_30)))) (let ((_let_60 (REFL :args (_let_24)))) (let ((_let_61 (CONG (REFL :args (_let_16)) _let_55 :args _let_46))) (let ((_let_62 (ASSUME :args (_let_31)))) (let ((_let_63 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_44)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_47 _let_50 _let_52 _let_55 _let_57 _let_59 _let_62 _let_63) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_58 _let_56 _let_53 _let_51 _let_48) (TRANS (CONG (TRANS (TRANS (CONG (CONG (SYMM (SYMM _let_63)) _let_54 :args _let_46) _let_60 :args _let_46) (SYMM _let_62) (SYMM _let_61)) _let_61) _let_60 :args _let_46) (SYMM (SYMM _let_59)) (CONG _let_49 (TRANS _let_58 _let_56 _let_53 _let_51) :args _let_46) (CONG _let_49 _let_48 :args _let_46)) :args (=)) (FALSE_INTRO _let_45))) :args (_let_33 _let_15 _let_21 _let_23 _let_26 _let_28 _let_30 _let_31 _let_18))) :args (_let_33 _let_15 _let_18 _let_21 _let_23 _let_26 _let_28 _let_30 _let_31))) :args (true _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _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_28))) (REFL :args ((not _let_30))) (REFL :args ((not _let_31))) (REFL :args ((not _let_32))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_24 _let_24 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_16 tptp.w1 _let_24 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_37))) _let_38 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.fixed_pt _let_25 _let_24 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_37)) _let_38 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_24 tptp.w1 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_28 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.w1 _let_13 tptp.w1 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_26 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.w1 _let_19 QUANTIFIERS_INST_E_MATCHING _let_42)) :args _let_40)) _let_41 :args (_let_23 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_3 _let_2 _let_13 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_18 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_4 _let_1 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_15 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_6 _let_33 (not _let_34)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Strong_fixed_point) true))))) :args _let_35)) _let_36 :args (_let_34 false _let_8)) :args (_let_33 true _let_6 false _let_34)) :args (false false _let_32 false _let_31 false _let_30 false _let_28 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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.70  )
% 0.53/0.70  % SZS output end Proof for COL042-3
% 0.53/0.70  % cvc5---1.0.5 exiting
% 0.53/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------