TSTP Solution File: COL003-18 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 0.21s 0.63s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL003-18 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.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 04:49:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.XY7R3QIPVk/cvc5---1.0.5_7455.p...
% 0.21/0.50 ------- get file name : TPTP file name is COL003-18
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7455.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63 % SZS status Unsatisfiable for COL003-18
% 0.21/0.63 % SZS output start Proof for COL003-18
% 0.21/0.63 (
% 0.21/0.63 (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.apply tptp.b tptp.b) tptp.b))) (let ((_let_5 (tptp.apply tptp.b tptp.w))) (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) _let_4))) (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 _let_4 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 tptp.b tptp.fixed_pt))) (let ((_let_16 (tptp.apply tptp.b _let_15))) (let ((_let_17 (= _let_12 _let_16))) (let ((_let_18 (tptp.apply _let_5 _let_12))) (let ((_let_19 (tptp.apply _let_6 _let_18))) (let ((_let_20 (= _let_13 _let_19))) (let ((_let_21 (tptp.apply (tptp.apply tptp.w _let_18) _let_18))) (let ((_let_22 (= _let_19 _let_21))) (let ((_let_23 (tptp.apply (tptp.apply tptp.b _let_5) tptp.b))) (let ((_let_24 (tptp.apply _let_23 _let_15))) (let ((_let_25 (= _let_24 (tptp.apply _let_5 _let_16)))) (let ((_let_26 (tptp.apply _let_18 _let_18))) (let ((_let_27 (tptp.apply _let_26 _let_18))) (let ((_let_28 (= _let_21 _let_27))) (let ((_let_29 (tptp.apply _let_12 _let_18))) (let ((_let_30 (tptp.apply tptp.w _let_29))) (let ((_let_31 (= _let_26 _let_30))) (let ((_let_32 (tptp.apply _let_15 _let_26))) (let ((_let_33 (= (tptp.apply _let_32 _let_18) (tptp.apply tptp.fixed_pt _let_27)))) (let ((_let_34 (= _let_24 (tptp.apply (tptp.apply (tptp.apply tptp.b _let_23) tptp.b) tptp.fixed_pt)))) (let ((_let_35 (= _let_32 (tptp.apply (tptp.apply _let_16 _let_18) _let_18)))) (let ((_let_36 (= (tptp.apply _let_30 _let_18) (tptp.apply (tptp.apply _let_29 _let_18) _let_18)))) (let ((_let_37 (ASSUME :args (_let_9)))) (let ((_let_38 (ASSUME :args (_let_3)))) (let ((_let_39 (_let_11))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_42 (_let_10))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.apply (tptp.apply tptp.w X) Y)))) (let ((_let_45 ((tptp.apply X (tptp.apply Y Z))))) (let ((_let_46 (not _let_36))) (let ((_let_47 (not _let_35))) (let ((_let_48 (not _let_34))) (let ((_let_49 (not _let_33))) (let ((_let_50 (not _let_31))) (let ((_let_51 (not _let_28))) (let ((_let_52 (not _let_25))) (let ((_let_53 (not _let_22))) (let ((_let_54 (not _let_20))) (let ((_let_55 (not _let_17))) (let ((_let_56 (not _let_14))) (let ((_let_57 (not _let_9))) (let ((_let_58 (and _let_9 _let_3 _let_14 _let_17 _let_20 _let_22 _let_25 _let_28 _let_31 _let_33 _let_34 _let_35))) (let ((_let_59 (APPLY_UF tptp.apply))) (let ((_let_60 (REFL :args (tptp.fixed_pt)))) (let ((_let_61 (CONG (SYMM _let_37) _let_60 :args _let_59))) (let ((_let_62 (ASSUME :args (_let_14)))) (let ((_let_63 (SYMM _let_62))) (let ((_let_64 (ASSUME :args (_let_20)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_22)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_28)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (ASSUME :args (_let_33)))) (let ((_let_71 (REFL :args (_let_18)))) (let ((_let_72 (ASSUME :args (_let_35)))) (let ((_let_73 (ASSUME :args (_let_17)))) (let ((_let_74 (ASSUME :args (_let_25)))) (let ((_let_75 (ASSUME :args (_let_34)))) (let ((_let_76 (TRANS (SYMM _let_75) (SYMM (SYMM _let_74)) (CONG (REFL :args (_let_5)) (SYMM _let_73) :args _let_59)))) (let ((_let_77 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_37 _let_62 _let_64 _let_66 _let_68 _let_73 _let_74 _let_75 _let_77 _let_70 _let_72) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_77) (SYMM _let_76) :args _let_59) (CONG (REFL :args (_let_26)) _let_76 :args _let_59) _let_69 _let_67 _let_65 _let_63 _let_61) (TRANS (CONG (TRANS (CONG (CONG _let_73 _let_71 :args _let_59) _let_71 :args _let_59) (SYMM _let_72)) _let_71 :args _let_59) (SYMM (SYMM _let_70)) (CONG _let_60 (TRANS _let_69 _let_67 _let_65) :args _let_59) (CONG _let_60 (TRANS _let_63 _let_61) :args _let_59)) :args (=)) (FALSE_INTRO _let_38))) :args (_let_3 _let_9 _let_14 _let_20 _let_22 _let_28 _let_17 _let_25 _let_34 _let_31 _let_33 _let_35))) :args (_let_9 _let_3 _let_14 _let_17 _let_20 _let_22 _let_25 _let_28 _let_31 _let_33 _let_34 _let_35))) :args (true _let_58)) (CONG (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_56)) (REFL :args (_let_55)) (REFL :args (_let_54)) (REFL :args (_let_53)) (REFL :args (_let_52)) (REFL :args (_let_51)) (REFL :args (_let_50)) (REFL :args (_let_49)) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_46)) :args (or))) :args ((or _let_2 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_29 _let_18 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_36 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_15 _let_18 _let_18 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_39))) _let_40 :args (_let_35 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_23 tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_39))) _let_40 :args (_let_34 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.fixed_pt _let_26 _let_18 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_39)) _let_40 :args (_let_33 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.w _let_12 _let_18 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_18 _let_18 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_28 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_5 tptp.b _let_15 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_39)) _let_40 :args (_let_25 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.w _let_18 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_22 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_6 _let_5 _let_12 QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_20 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_17 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_7 _let_4 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_41)) :args _let_39)) _let_40 :args (_let_14 false _let_11)) _let_38 _let_37 :args (false false _let_36 false _let_35 false _let_34 false _let_33 false _let_31 false _let_28 false _let_25 false _let_22 false _let_20 false _let_17 false _let_14 true _let_2 false _let_9)) :args (_let_11 _let_10 _let_9 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63 )
% 0.21/0.64 % SZS output end Proof for COL003-18
% 0.21/0.64 % cvc5---1.0.5 exiting
% 0.21/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------