TSTP Solution File: SWV236+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 0.62s 0.89s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 04:13:52 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.62/0.89 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Km5tyUiLLD/cvc5---1.0.5_10113.p...
% 0.62/0.89 ------- get file name : TPTP file name is SWV236+1
% 0.62/0.89 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10113.smt2...
% 0.62/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.62/0.89 % SZS status Theorem for SWV236+1
% 0.62/0.89 % SZS output start Proof for SWV236+1
% 0.62/0.89 (
% 0.62/0.89 (let ((_let_1 (not (exists ((X $$unsorted)) (and (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) X)) (tptp.p X)))))) (let ((_let_2 (tptp.p tptp.exp))) (let ((_let_3 (tptp.xor tptp.km tptp.exp))) (let ((_let_4 (tptp.p tptp.data))) (let ((_let_5 (tptp.p tptp.kp))) (let ((_let_6 (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.p X1) (tptp.p X2)) (tptp.p (tptp.xor X1 X2)))))) (let ((_let_7 (forall ((Xk1 $$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_8 (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_9 (forall ((X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (= (tptp.xor X1 (tptp.xor X2 X3)) (tptp.xor (tptp.xor X1 X2) X3))))) (let ((_let_10 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.xor X1 X2) (tptp.xor X2 X1))))) (let ((_let_11 (forall ((X $$unsorted)) (or (not (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) X))) (not (tptp.p X)))))) (let ((_let_12 (tptp.xor tptp.data tptp.kp))) (let ((_let_13 (tptp.p _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.p (tptp.crypt _let_3 _let_12)))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (not _let_2))) (let ((_let_21 (tptp.xor tptp.exp tptp.kp))) (let ((_let_22 (tptp.xor tptp.km _let_21))) (let ((_let_23 (tptp.p (tptp.crypt _let_22 tptp.data)))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_5))) (let ((_let_26 (or _let_25 _let_24 _let_20 _let_15))) (let ((_let_27 (forall ((Xk1 $$unsorted) (Xtype $$unsorted) (Xk2 $$unsorted)) (or (not (tptp.p Xk1)) (not (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor Xtype tptp.kp)) Xk2))) (not (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype) (tptp.xor Xk2 Xk1))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (tptp.xor tptp.kp tptp.exp))) (let ((_let_30 (tptp.p (tptp.crypt (tptp.xor tptp.km _let_29) tptp.data)))) (let ((_let_31 (= _let_22 (tptp.xor _let_3 tptp.kp)))) (let ((_let_32 (= _let_21 _let_29))) (let ((_let_33 (not _let_4))) (let ((_let_34 (or _let_33 _let_20 _let_30))) (let ((_let_35 (forall ((Xk $$unsorted) (Xtype $$unsorted)) (or (not (tptp.p Xk)) (not (tptp.p Xtype)) (tptp.p (tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp Xtype)) Xk)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (ASSUME :args (_let_2)))) (let ((_let_38 (ASSUME :args (_let_4)))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_10))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (and _let_32 _let_31 _let_30))) (let ((_let_44 (ASSUME :args (_let_30)))) (let ((_let_45 (APPLY_UF tptp.p))) (let ((_let_46 (APPLY_UF tptp.crypt))) (let ((_let_47 (REFL :args (tptp.data)))) (let ((_let_48 (ASSUME :args (_let_32)))) (let ((_let_49 (CONG (REFL :args (tptp.km)) (SYMM (SYMM _let_48)) :args (APPLY_UF tptp.xor)))) (let ((_let_50 (ASSUME :args (_let_31)))) (let ((_let_51 (CONG (TRANS (SYMM _let_50) _let_49) _let_47 :args _let_46))) (let ((_let_52 (ASSUME :args (_let_5)))) (let ((_let_53 (or _let_33 _let_25 _let_13))) (let ((_let_54 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.p X1)) (not (tptp.p X2)) (tptp.p (tptp.xor X1 X2)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.crypt _let_3 X)))) :args (_let_11))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_14 _let_16 _let_19))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_25 _let_33 _let_13 (not _let_53)))) _let_52 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.data tptp.kp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.xor X1 X2)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_13 false _let_5 false _let_4 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_20 _let_15 _let_24 (not _let_26)))) _let_52 _let_37 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_43)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_48 _let_50) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_49 _let_47 :args _let_46) (SYMM _let_51)) :args _let_45) (CONG _let_51 :args _let_45) (TRUE_INTRO _let_44))) :args (_let_30 _let_32 _let_31))) :args (_let_32 _let_31 _let_30))) :args (true _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.exp tptp.kp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.xor X1 X2)))) :args _let_41)) _let_42 :args (_let_32 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.km tptp.exp tptp.kp QUANTIFIERS_INST_E_MATCHING ((tptp.xor X1 (tptp.xor X2 X3))))) :args _let_39)) _let_40 :args (_let_31 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_20 _let_30 (not _let_34)))) _let_38 _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.data tptp.exp QUANTIFIERS_INST_E_MATCHING ((tptp.crypt (tptp.xor tptp.km (tptp.xor tptp.kp Xtype)) Xk)))) :args (_let_35))) _let_36 :args (_let_34 false _let_35)) :args (_let_30 false _let_4 false _let_2 false _let_34)) :args (_let_23 false _let_32 false _let_31 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.kp tptp.exp tptp.data QUANTIFIERS_INST_E_MATCHING ((tptp.crypt (tptp.xor tptp.km Xtype) (tptp.xor Xk2 Xk1))))) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_15 false _let_5 false _let_2 false _let_23 false _let_26)) :args (_let_19 false _let_13 false _let_15)) _let_18 :args (false true _let_17 false _let_11)) :args (_let_10 _let_9 (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)))))) (forall ((Xtype $$unsorted) (Xk1 $$unsorted) (Xkek1 $$unsorted)) (=> (and (tptp.p (tptp.crypt (tptp.xor tptp.km Xtype) Xk1)) (tptp.p Xtype) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.exp) Xkek1))) (tptp.p (tptp.crypt (tptp.xor Xkek1 Xtype) Xk1)))) _let_8 (forall ((Xk1 $$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_7 (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_6 (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.p (tptp.crypt X1 X2)) (tptp.p X1)) (tptp.p X2))) (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.p X2) (tptp.p X1)) (tptp.p (tptp.crypt X1 X2)))) (forall ((X1 $$unsorted) (X2 $$unsorted)) (=> (tptp.p (tptp.crypt (tptp.xor X1 tptp.data) X2)) (tptp.p (tptp.crypt X1 X2)))) _let_5 (tptp.p tptp.imp) _let_4 (tptp.p tptp.id) (tptp.p tptp.pin) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.pin) tptp.pp)) (tptp.p (tptp.crypt _let_3 tptp.eurk)) (tptp.p (tptp.crypt (tptp.xor tptp.km tptp.data) tptp.eurk)) _let_2 (tptp.p tptp.a) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.73/0.90 )
% 0.73/0.90 % SZS output end Proof for SWV236+1
% 0.73/0.90 % cvc5---1.0.5 exiting
% 0.73/0.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------