%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV235+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 : Thu Aug 31 21:49:50 EDT 2023

% Result   : Theorem 1.68s 2.02s
% Output   : Proof 1.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWV235+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n031.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 29 04:17:11 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 1.68/2.02  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kz9OAKG1LO/cvc5---1.0.5_27233.p...
% 1.68/2.02  ------- get file name : TPTP file name is SWV235+1
% 1.68/2.02  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27233.smt2...
% 1.68/2.02  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.68/2.02  % SZS status Theorem for SWV235+1
% 1.68/2.02  % SZS output start Proof for SWV235+1
% 1.68/2.02  (
% 1.68/2.02  (let ((_let_1 (tptp.p (tptp.crypt tptp.pp tptp.a)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p tptp.a))) (let ((_let_4 (tptp.p tptp.exp))) (let ((_let_5 (tptp.xor tptp.km tptp.imp))) (let ((_let_6 (tptp.xor tptp.imp tptp.exp))) (let ((_let_7 (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.pin) tptp.pp)))) (let ((_let_8 (tptp.p tptp.pin))) (let ((_let_9 (tptp.p tptp.imp))) (let ((_let_10 (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.p X2) (tptp.p X1)) (tptp.p (tptp.crypt X1 X2)))))) (let ((_let_11 (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.p (tptp.crypt X1 X2)) (tptp.p X1)) (tptp.p X2))))) (let ((_let_12 (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.p X1) (tptp.p X2)) (tptp.p (tptp.xor X1 X2)))))) (let ((_let_13 (forall ((Xk1 $$unsorted) (Xtype $$unsorted) (Xk2 $$unsorted)) (=> (and (tptp.p Xk1) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor Xtype tptp.kp)) Xk2)) (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype) (tptp.xor Xk2 Xk1))))))) (let ((_let_14 (forall ((Xk $$unsorted) (Xtype $$unsorted)) (=> (and (tptp.p Xk) (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp Xtype)) Xk)))))) (let ((_let_15 (forall ((Xtype $$unsorted) (Xk1 $$unsorted) (Xkek1 $$unsorted)) (=> (and (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype) Xk1)) (tptp.p Xtype) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) Xkek1))) (tptp.p (tptp.crypt (tptp.xor Xkek1 Xtype) Xk1)))))) (let ((_let_16 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.xor X1 X2) (tptp.xor X2 X1))))) (let ((_let_17 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.p (tptp.crypt X1 X2))) (not (tptp.p X1)) (tptp.p X2))))) (let ((_let_18 (tptp.p tptp.pp))) (let ((_let_19 (tptp.xor _let_6 tptp.pin))) (let ((_let_20 (tptp.p _let_19))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.p (tptp.crypt _let_19 tptp.pp)))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_18))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) _let_6)))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_8))) (let ((_let_30 (not _let_7))) (let ((_let_31 (or _let_30 _let_29 _let_28 _let_22))) (let ((_let_32 (forall ((Xtype $$unsorted) (Xk1 $$unsorted) (Xkek1 $$unsorted)) (or (not (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype) Xk1))) (not (tptp.p Xtype)) (not (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) Xkek1))) (tptp.p (tptp.crypt (tptp.xor Xkek1 Xtype) Xk1)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_4))) (let ((_let_35 (tptp.xor tptp.exp tptp.kp))) (let ((_let_36 (tptp.p (tptp.crypt (tptp.xor tptp.km _let_35) tptp.imp)))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_34 _let_37 _let_34 _let_27))) (let ((_let_39 (forall ((Xk1 $$unsorted) (Xtype $$unsorted) (Xk2 $$unsorted)) (or (not (tptp.p Xk1)) (not (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor Xtype tptp.kp)) Xk2))) (not (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype) (tptp.xor Xk2 Xk1))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (tptp.xor tptp.kp tptp.exp))) (let ((_let_42 (tptp.p (tptp.crypt (tptp.xor tptp.km _let_41) tptp.imp)))) (let ((_let_43 (= _let_35 _let_41))) (let ((_let_44 (not _let_9))) (let ((_let_45 (or _let_44 _let_34 _let_42))) (let ((_let_46 (forall ((Xk $$unsorted) (Xtype $$unsorted)) (or (not (tptp.p Xk)) (not (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp Xtype)) Xk)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (ASSUME :args (_let_4)))) (let ((_let_49 (ASSUME :args (_let_9)))) (let ((_let_50 (_let_16))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (and _let_43 _let_42))) (let ((_let_53 (ASSUME :args (_let_42)))) (let ((_let_54 (ASSUME :args (_let_43)))) (let ((_let_55 (ASSUME :args (_let_8)))) (let ((_let_56 (tptp.p _let_6))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_29 _let_20))) (let ((_let_59 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.p X1)) (not (tptp.p X2)) (tptp.p (tptp.xor X1 X2)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((tptp.xor X1 X2)))) (let ((_let_63 (or _let_44 _let_34 _let_56))) (let ((_let_64 (not _let_18))) (let ((_let_65 (not _let_3))) (let ((_let_66 (or _let_65 _let_64 _let_1))) (let ((_let_67 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.p X2)) (not (tptp.p X1)) (tptp.p (tptp.crypt X1 X2)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_19 tptp.pp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.crypt X1 X2)))) :args (_let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_18 _let_21 _let_23 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_1 _let_65 _let_64 (not _let_66)))) (ASSUME :args (_let_2)) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.pp tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.crypt X1 X2)))) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_64 true _let_1 false _let_3 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_29 _let_57 _let_20 (not _let_58)))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_44 _let_34 _let_56 (not _let_63)))) _let_49 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.imp tptp.exp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_63 false _let_59)) :args (_let_56 false _let_9 false _let_4 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_6 tptp.pin QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_20 false _let_8 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_29 _let_30 _let_28 _let_22 (not _let_31)))) _let_55 (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_38))) :args ((or _let_34 _let_27 _let_37 (not _let_38)))) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_52)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_54) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (CONG (REFL :args (tptp.km)) (SYMM (SYMM _let_54)) :args (APPLY_UF tptp.xor)) (REFL :args (tptp.imp)) :args (APPLY_UF tptp.crypt)) :args (APPLY_UF tptp.p)) (TRUE_INTRO _let_53))) :args (_let_42 _let_43))) :args (_let_43 _let_42))) :args (true _let_52)) :args ((or _let_36 (not _let_43) (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.exp tptp.kp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.xor X1 X2)))) :args _let_50)) _let_51 :args (_let_43 false _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_34 _let_42 (not _let_45)))) _let_49 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.imp tptp.exp QUANTIFIERS_INST_E_MATCHING ((tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp Xtype)) Xk)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_42 false _let_9 false _let_4 false _let_45)) :args (_let_36 false _let_43 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.exp tptp.exp tptp.imp QUANTIFIERS_INST_E_MATCHING ((tptp.crypt (tptp.xor tptp.km Xtype) (tptp.xor Xk2 Xk1))))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_27 false _let_4 false _let_36 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.pin tptp.pp _let_6 QUANTIFIERS_INST_E_MATCHING ((tptp.crypt (tptp.xor tptp.km Xtype) Xk1) (tptp.xor Xkek1 Xtype)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_22 false _let_8 false _let_7 false _let_27 false _let_31)) :args (_let_26 true _let_18 false _let_20 false _let_22)) _let_25 :args (false true _let_24 false _let_17)) :args (_let_16 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.xor X1 (tptp.xor X2 X3)) (tptp.xor (tptp.xor X1 X2) X3))) (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.decrypt X1 (tptp.crypt X1 X2)) X2)) (forall ((X1 $$unsorted)) (= (tptp.xor X1 tptp.id) X1)) (forall ((X1 $$unsorted)) (= (tptp.xor X1 X1) tptp.id)) (forall ((Xkek1 $$unsorted) (Xtype1 $$unsorted) (Xk1 $$unsorted) (Xtype2 $$unsorted) (Xkek2 $$unsorted)) (let ((_let_1 (tptp.crypt (tptp.xor Xkek1 Xtype1) Xk1))) (=> (and (tptp.p _let_1) (tptp.p Xtype2) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.imp) Xkek2))) (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype2) (tptp.decrypt (tptp.xor Xkek2 Xtype2) _let_1)))))) _let_15 _let_14 (forall ((Xk1 $$unsorted) (Xtype $$unsorted) (Xk2 $$unsorted)) (=> (and (tptp.p Xk1) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp Xtype)) Xk2)) (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor Xtype tptp.kp)) (tptp.xor Xk1 Xk2))))) _let_13 (forall ((X1 $$unsorted) (Xk1 $$unsorted)) (=> (and (tptp.p X1) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.data) Xk1))) (tptp.p (tptp.crypt Xk1 X1)))) (forall ((X1 $$unsorted) (Xk1 $$unsorted)) (=> (and (tptp.p X1) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.data) Xk1))) (tptp.p (tptp.decrypt Xk1 X1)))) (forall ((Xk $$unsorted) (Xk1 $$unsorted) (Xtype2 $$unsorted) (Xkek1 $$unsorted) (Xkek2 $$unsorted) (Xtype $$unsorted)) (let ((_let_1 (tptp.crypt Xk Xk1))) (=> (and (tptp.p _let_1) (tptp.p Xtype2) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.imp) Xkek1)) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) Xkek2))) (tptp.p (tptp.crypt (tptp.xor Xkek2 Xtype) (tptp.decrypt (tptp.xor Xtype2 Xkek1) _let_1)))))) _let_12 _let_11 _let_10 (tptp.p tptp.kp) _let_9 (tptp.p tptp.data) (tptp.p tptp.id) _let_8 _let_7 (tptp.p (tptp.crypt _let_5 (tptp.xor tptp.rand _let_6))) (tptp.p (tptp.crypt _let_5 tptp.rand)) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.imp tptp.kp)) tptp.kek)) (tptp.p (tptp.crypt (tptp.xor tptp.rand tptp.imp) tptp.kek)) _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.68/2.03  )
% 1.68/2.03  % SZS output end Proof for SWV235+1
% 1.68/2.03  % cvc5---1.0.5 exiting
% 1.68/2.03  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------