TSTP Solution File: COL006-6 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL006-6 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 18:22:58 EDT 2023
% Result : Unsatisfiable 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL006-6 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 04:50:25 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/sandbox2/tmp/tmp.AsF4QeUa2p/cvc5---1.0.5_5373.p...
% 0.21/0.49 ------- get file name : TPTP file name is COL006-6
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5373.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Unsatisfiable for COL006-6
% 0.21/0.52 % SZS output start Proof for COL006-6
% 0.21/0.53 (
% 0.21/0.53 (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.s tptp.k) tptp.k))) (let ((_let_5 (tptp.apply (tptp.apply tptp.s _let_4) _let_4))) (let ((_let_6 (tptp.apply tptp.k _let_5))) (let ((_let_7 (tptp.apply tptp.k tptp.s))) (let ((_let_8 (tptp.apply (tptp.apply tptp.s _let_7) tptp.k))) (let ((_let_9 (tptp.apply (tptp.apply tptp.s _let_8) _let_6))) (let ((_let_10 (tptp.apply (tptp.apply tptp.s _let_6) _let_9))) (let ((_let_11 (= tptp.strong_fixed_point _let_10))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z) (tptp.apply (tptp.apply X Z) (tptp.apply Y Z)))))) (let ((_let_14 (tptp.apply _let_9 tptp.fixed_pt))) (let ((_let_15 (tptp.apply _let_6 tptp.fixed_pt))) (let ((_let_16 (= (tptp.apply _let_10 tptp.fixed_pt) (tptp.apply _let_15 _let_14)))) (let ((_let_17 (tptp.apply _let_8 tptp.fixed_pt))) (let ((_let_18 (= _let_14 (tptp.apply _let_17 _let_15)))) (let ((_let_19 (= _let_5 _let_15))) (let ((_let_20 (tptp.apply _let_4 _let_14))) (let ((_let_21 (= (tptp.apply _let_5 _let_14) (tptp.apply _let_20 _let_20)))) (let ((_let_22 (tptp.apply tptp.k tptp.fixed_pt))) (let ((_let_23 (tptp.apply _let_7 tptp.fixed_pt))) (let ((_let_24 (= _let_17 (tptp.apply _let_23 _let_22)))) (let ((_let_25 (tptp.apply tptp.k _let_14))) (let ((_let_26 (tptp.apply _let_25 _let_25))) (let ((_let_27 (= _let_20 _let_26))) (let ((_let_28 (= tptp.s _let_23))) (let ((_let_29 (= _let_14 _let_26))) (let ((_let_30 (tptp.apply _let_22 _let_20))) (let ((_let_31 (= (tptp.apply (tptp.apply (tptp.apply tptp.s _let_22) _let_15) _let_20) (tptp.apply _let_30 (tptp.apply _let_15 _let_20))))) (let ((_let_32 (= tptp.fixed_pt _let_30))) (let ((_let_33 (ASSUME :args (_let_11)))) (let ((_let_34 (_let_13))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.apply (tptp.apply tptp.k X) Y))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((tptp.apply (tptp.apply tptp.k X) Y)))) (let ((_let_41 (and _let_11 _let_16 _let_18 _let_19 _let_21 _let_24 _let_27 _let_28 _let_29 _let_31 _let_32))) (let ((_let_42 (APPLY_UF tptp.apply))) (let ((_let_43 (CONG (SYMM _let_33) (REFL :args (tptp.fixed_pt)) :args _let_42))) (let ((_let_44 (ASSUME :args (_let_16)))) (let ((_let_45 (ASSUME :args (_let_19)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (CONG (SYMM _let_46) (REFL :args (_let_14)) :args _let_42))) (let ((_let_48 (ASSUME :args (_let_21)))) (let ((_let_49 (ASSUME :args (_let_32)))) (let ((_let_50 (ASSUME :args (_let_29)))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (ASSUME :args (_let_27)))) (let ((_let_53 (SYMM (SYMM _let_52)))) (let ((_let_54 (ASSUME :args (_let_31)))) (let ((_let_55 (ASSUME :args (_let_28)))) (let ((_let_56 (ASSUME :args (_let_24)))) (let ((_let_57 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_33 _let_44 _let_45 _let_48 _let_50 _let_52 _let_54 _let_55 _let_56 _let_57) (SCOPE (TRANS (SYMM _let_43) _let_44 (SYMM _let_47) _let_48 (CONG (TRANS _let_53 _let_51 (SYMM (SYMM _let_57)) (CONG (TRANS (SYMM (SYMM _let_56)) (CONG (SYMM _let_55) (REFL :args (_let_22)) :args _let_42)) (REFL :args (_let_15)) :args _let_42)) (REFL :args (_let_20)) :args _let_42) (SYMM (SYMM _let_54)) (CONG (REFL :args (_let_30)) (TRANS (CONG _let_46 (TRANS _let_53 _let_51) :args _let_42) _let_48) :args _let_42) (CONG (SYMM _let_49) (TRANS (SYMM _let_48) _let_47 (SYMM _let_44) _let_43) :args _let_42)) :args (_let_32 _let_11 _let_16 _let_19 _let_21 _let_29 _let_27 _let_31 _let_28 _let_24 _let_18))) :args (_let_11 _let_16 _let_18 _let_19 _let_21 _let_24 _let_27 _let_28 _let_29 _let_31 _let_32))) :args (true _let_41)) :args ((or _let_2 (not _let_11) (not _let_16) (not _let_18) (not _let_19) (not _let_21) (not _let_24) (not _let_27) (not _let_28) (not _let_29) (not _let_31) (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.fixed_pt _let_20 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_32 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_22 _let_15 _let_20 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_31 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_14 _let_25 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_29 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.s tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_28 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.k tptp.k _let_14 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_27 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_7 tptp.k tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_24 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_4 _let_4 _let_14 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_21 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_5 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_19 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_8 _let_6 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_18 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_6 _let_9 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_16 false _let_13)) (ASSUME :args (_let_3)) _let_33 :args (false false _let_32 false _let_31 false _let_29 false _let_28 false _let_27 false _let_24 false _let_21 false _let_19 false _let_18 false _let_16 true _let_2 false _let_11)) :args (_let_13 _let_12 _let_11 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for COL006-6
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------