%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV238+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n019.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 : Tue May 5 05:21:09 PM UTC 2026
% Result : CounterSatisfiable 12.04s 8.46s
% Output : Saturation 12.04s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(data_translate_between_interchange_keys,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(enc(i(wk),X3),enc(i(enc(i(wk),X2)),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',data_translate_between_interchange_keys) ).
fof(dec_enc_cancel,axiom,
! [X1,X2] : enc(X1,enc(i(X1),X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dec_enc_cancel) ).
fof(double_inverse_cancel,axiom,
! [X1] : i(i(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',double_inverse_cancel) ).
fof(encrypt_a_PIN_derivation_key_under_a_TMK,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(enc(i(tmk),X2),enc(i(tmk),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encrypt_a_PIN_derivation_key_under_a_TMK) ).
fof(receive_working_key_from_switch,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(wk,enc(i(tmk),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',receive_working_key_from_switch) ).
fof(intruder_knows_8,axiom,
p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_8) ).
fof(data_translate_PIN_from_local_to_interchange_key,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(enc(i(wk),X3),enc(i(enc(i(tmk),X2)),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',data_translate_PIN_from_local_to_interchange_key) ).
fof(key_translate_from_ZCMK_to_TMK,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(tmk,enc(i(enc(i(zcmk),X2)),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_translate_from_ZCMK_to_TMK) ).
fof(attacker_can_encrypt,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',attacker_can_encrypt) ).
fof(intruder_knows_2,axiom,
p(enc(wk,w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_2) ).
fof(enc_dec_cancel,axiom,
! [X1,X2] : enc(i(X1),enc(X1,X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',enc_dec_cancel) ).
fof(intruder_knows_1,axiom,
p(enc(tmk,pp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_1) ).
fof(co1,conjecture,
p(enc(pp,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(keys_are_symmetric,axiom,
! [X1] :
( p(X1)
=> p(i(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keys_are_symmetric) ).
fof(encrypt_a_stored_comms_key,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(enc(i(tmk),X2),enc(i(tc),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encrypt_a_stored_comms_key) ).
fof(data_translate_PIN_from_local_storage_to_interchange_key,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(enc(i(wk),X2),enc(i(lp),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',data_translate_PIN_from_local_storage_to_interchange_key) ).
fof(data_decrypt,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(i(enc(i(tc),X1)),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',data_decrypt) ).
fof(key_translate_from_TMK_to_ZCMK,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(i(enc(i(zcmk),X2)),enc(i(tmk),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_translate_from_TMK_to_ZCMK) ).
fof(intruder_knows_4,axiom,
p(enc(lp,t2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_4) ).
fof(intruder_knows_5,axiom,
p(enc(tc,k)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_5) ).
fof(data_encrypt,axiom,
! [X1,X2,X3] :
( ( p(X1)
& p(X2)
& p(X3) )
=> p(enc(enc(i(tc),X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',data_encrypt) ).
fof(intruder_knows_3,axiom,
p(enc(w,t1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_3) ).
fof(intruder_knows_7,axiom,
p(i(kk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_7) ).
fof(intruder_knows_6,axiom,
p(kk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_6) ).
fof(c_0_24,plain,
! [X73,X74,X75] :
( ~ p(X73)
| ~ p(X74)
| ~ p(X75)
| p(enc(enc(i(wk),X75),enc(i(enc(i(wk),X74)),X73))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[data_translate_between_interchange_keys])]) ).
fof(c_0_25,plain,
! [X45,X46] : enc(X45,enc(i(X45),X46)) = X46,
inference(variable_rename,[status(thm)],[dec_enc_cancel]) ).
fof(c_0_26,plain,
! [X47] : i(i(X47)) = X47,
inference(variable_rename,[status(thm)],[double_inverse_cancel]) ).
fof(c_0_27,plain,
! [X58,X59,X60] :
( ~ p(X58)
| ~ p(X59)
| ~ p(X60)
| p(enc(enc(i(tmk),X59),enc(i(tmk),X58))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[encrypt_a_PIN_derivation_key_under_a_TMK])]) ).
cnf(c_0_28,plain,
( p(enc(enc(i(wk),X3),enc(i(enc(i(wk),X2)),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_29,plain,
enc(X1,enc(i(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_25]),
[final] ).
cnf(c_0_30,plain,
i(i(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]),
[final] ).
fof(c_0_31,plain,
! [X55,X56,X57] :
( ~ p(X55)
| ~ p(X56)
| ~ p(X57)
| p(enc(wk,enc(i(tmk),X55))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[receive_working_key_from_switch])]) ).
cnf(c_0_32,plain,
( p(enc(enc(i(tmk),X2),enc(i(tmk),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
p(a),
inference(split_conjunct,[status(thm)],[intruder_knows_8]),
[final] ).
cnf(c_0_34,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(wk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_35,plain,
( p(enc(wk,enc(i(tmk),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X70,X71,X72] :
( ~ p(X70)
| ~ p(X71)
| ~ p(X72)
| p(enc(enc(i(wk),X72),enc(i(enc(i(tmk),X71)),X70))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[data_translate_PIN_from_local_to_interchange_key])]) ).
cnf(c_0_37,plain,
( p(enc(enc(i(tmk),X1),enc(i(tmk),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]),
[final] ).
cnf(c_0_38,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(wk,X2))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_39,plain,
( p(enc(wk,enc(i(tmk),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
cnf(c_0_40,plain,
( p(enc(enc(i(wk),X3),enc(i(enc(i(tmk),X2)),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]),
[final] ).
fof(c_0_41,plain,
! [X49,X50,X51] :
( ~ p(X49)
| ~ p(X50)
| ~ p(X51)
| p(enc(tmk,enc(i(enc(i(zcmk),X50)),X49))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_translate_from_ZCMK_to_TMK])]) ).
fof(c_0_42,plain,
! [X79,X80,X81] :
( ~ p(X79)
| ~ p(X80)
| ~ p(X81)
| p(enc(X79,X80)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[attacker_can_encrypt])]) ).
cnf(c_0_43,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_44,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X3))
| ~ p(enc(wk,X1))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_45,plain,
p(enc(wk,w)),
inference(split_conjunct,[status(thm)],[intruder_knows_2]),
[final] ).
cnf(c_0_46,plain,
( p(enc(wk,enc(i(tmk),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_33]),
[final] ).
cnf(c_0_47,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(tmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_48,plain,
( p(enc(tmk,enc(i(enc(i(zcmk),X2)),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( p(enc(X1,X2))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_50,plain,
! [X43,X44] : enc(i(X43),enc(X43,X44)) = X44,
inference(variable_rename,[status(thm)],[enc_dec_cancel]) ).
cnf(c_0_51,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X2))
| ~ p(enc(tmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_52,plain,
p(enc(tmk,pp)),
inference(split_conjunct,[status(thm)],[intruder_knows_1]),
[final] ).
fof(c_0_53,negated_conjecture,
~ p(enc(pp,a)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).
cnf(c_0_54,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(w,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_55,plain,
( p(enc(wk,X1))
| ~ p(enc(tmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_56,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(tmk,X2))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_57,plain,
( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_33]),
[final] ).
cnf(c_0_58,plain,
( p(enc(X1,X2))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_33]),
[final] ).
cnf(c_0_59,plain,
enc(i(X1),enc(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_60,plain,
( p(enc(X1,pp))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_61,negated_conjecture,
~ p(enc(pp,a)),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_62,plain,
( p(enc(X1,X2))
| ~ p(enc(w,X2))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]),
[final] ).
cnf(c_0_63,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X3))
| ~ p(enc(wk,X1))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_64,plain,
( p(enc(tmk,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_65,plain,
( p(X1)
| ~ p(enc(X2,X1))
| ~ p(i(X2)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]),
[final] ).
cnf(c_0_66,plain,
( p(enc(enc(i(tmk),X1),pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_29]),
[final] ).
cnf(c_0_67,negated_conjecture,
~ p(pp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_58]),c_0_33])]),
[final] ).
cnf(c_0_68,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(tmk,X1))
| ~ p(enc(wk,X2))
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_38]),c_0_45])]),
[final] ).
cnf(c_0_69,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(X3),X4),X2))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_70,plain,
( ~ p(i(enc(i(tmk),X1)))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),
[final] ).
fof(c_0_71,plain,
! [X48] :
( ~ p(X48)
| p(i(X48)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[keys_are_symmetric])]) ).
cnf(c_0_72,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_73,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(enc(wk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_74,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X4,X2))
| ~ p(enc(X3,X4)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_29]),c_0_30]),
[final] ).
fof(c_0_75,plain,
! [X61,X62,X63] :
( ~ p(X61)
| ~ p(X62)
| ~ p(X63)
| p(enc(enc(i(tmk),X62),enc(i(tc),X61))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[encrypt_a_stored_comms_key])]) ).
cnf(c_0_76,plain,
( ~ p(enc(tmk,X1))
| ~ p(i(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_77,plain,
( p(i(X1))
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]),
[final] ).
cnf(c_0_78,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(pp,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_52]),
[final] ).
cnf(c_0_79,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(wk,X4))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X4,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_64]),
[final] ).
cnf(c_0_80,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X3,X1))
| ~ p(enc(X2,X3)) ),
inference(spm,[status(thm)],[c_0_74,c_0_45]),
[final] ).
cnf(c_0_81,plain,
( p(enc(enc(i(tmk),X2),enc(i(tc),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
( ~ p(enc(tmk,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]),
[final] ).
cnf(c_0_83,plain,
( p(enc(X1,X2))
| ~ p(enc(pp,X2))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_29]),c_0_30]),
[final] ).
fof(c_0_84,plain,
! [X76,X77,X78] :
( ~ p(X76)
| ~ p(X77)
| ~ p(X78)
| p(enc(enc(i(wk),X77),enc(i(lp),X76))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[data_translate_PIN_from_local_storage_to_interchange_key])]) ).
cnf(c_0_85,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(i(wk),X4),X3))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_29]),
[final] ).
cnf(c_0_86,plain,
( p(enc(enc(i(wk),X1),enc(X2,X3)))
| ~ p(enc(wk,i(X2)))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_34,c_0_30]),
[final] ).
cnf(c_0_87,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_29]),
[final] ).
cnf(c_0_88,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(wk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_89,plain,
( p(enc(enc(i(tmk),X1),enc(i(tc),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_33]),
[final] ).
cnf(c_0_90,plain,
( ~ p(enc(i(enc(i(zcmk),X1)),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_57]),
[final] ).
cnf(c_0_91,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_29]),
[final] ).
cnf(c_0_92,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(tmk),X3),X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_93,plain,
( p(enc(enc(i(wk),X2),enc(i(lp),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_94,plain,
( p(enc(pp,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X1)) ),
inference(spm,[status(thm)],[c_0_73,c_0_52]),
[final] ).
fof(c_0_95,plain,
! [X67,X68,X69] :
( ~ p(X67)
| ~ p(X68)
| ~ p(X69)
| p(enc(i(enc(i(tc),X67)),X68)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[data_decrypt])]) ).
cnf(c_0_96,plain,
( p(enc(enc(i(X1),X2),enc(X3,X4)))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(enc(i(zcmk),X2)),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_29]),
[final] ).
cnf(c_0_98,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(tmk),X3),X2))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_99,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tc,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_100,plain,
( ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_101,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_91]),c_0_45])]),
[final] ).
cnf(c_0_102,plain,
( p(enc(enc(i(wk),X1),pp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_66]) ).
cnf(c_0_103,plain,
( p(enc(enc(i(wk),X1),enc(i(lp),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_33]),
[final] ).
cnf(c_0_104,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_55]),
[final] ).
cnf(c_0_105,plain,
( p(enc(i(enc(i(tc),X1)),X2))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_106,plain,
( p(enc(enc(i(X1),X2),enc(X3,X4)))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_96,c_0_33]),
[final] ).
cnf(c_0_107,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_64]),
[final] ).
cnf(c_0_108,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(X2),X3),X1))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_109,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(tc,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_110,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_88]),c_0_45])]),
[final] ).
cnf(c_0_111,plain,
( ~ p(enc(zcmk,X1))
| ~ p(i(X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_58]),
[final] ).
cnf(c_0_112,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(enc(pp,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_113,plain,
( p(enc(enc(i(wk),X1),pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_33]),
[final] ).
cnf(c_0_114,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_63,c_0_57]),
[final] ).
cnf(c_0_115,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_116,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(lp,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_117,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(X2),X3),X1))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_64]),
[final] ).
cnf(c_0_118,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_57]),
[final] ).
cnf(c_0_119,plain,
( p(enc(i(enc(i(tc),X1)),X2))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_33]),
[final] ).
fof(c_0_120,plain,
! [X52,X53,X54] :
( ~ p(X52)
| ~ p(X53)
| ~ p(X54)
| p(enc(i(enc(i(zcmk),X53)),enc(i(tmk),X52))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[key_translate_from_TMK_to_ZCMK])]) ).
cnf(c_0_121,plain,
( p(enc(enc(X1,X2),enc(X3,X4)))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_106,c_0_30]),
[final] ).
cnf(c_0_122,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_107]),c_0_29])]) ).
cnf(c_0_123,plain,
( p(enc(w,X1))
| ~ p(enc(enc(X2,X3),X1))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_30]),
[final] ).
cnf(c_0_124,plain,
( p(enc(w,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_45]) ).
cnf(c_0_125,plain,
( p(enc(w,enc(i(enc(i(tmk),X1)),X2)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_110]),c_0_57]) ).
cnf(c_0_126,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_29]),
[final] ).
cnf(c_0_127,plain,
( ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_77]),
[final] ).
cnf(c_0_128,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(pp,X3))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_64]),
[final] ).
cnf(c_0_129,plain,
( ~ p(i(enc(i(wk),X1)))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_113]),c_0_67]),
[final] ).
cnf(c_0_130,plain,
( ~ p(enc(i(tmk),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_77]),
[final] ).
cnf(c_0_131,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(wk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_114,c_0_29]),
[final] ).
cnf(c_0_132,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_115]),c_0_45])]),
[final] ).
cnf(c_0_133,plain,
( p(enc(X1,X2))
| ~ p(enc(lp,X2))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_134,plain,
p(enc(lp,t2)),
inference(split_conjunct,[status(thm)],[intruder_knows_4]),
[final] ).
cnf(c_0_135,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X3,X1))
| ~ p(enc(X2,X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_136,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_137,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_138,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(wk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_118]),c_0_52])]),
[final] ).
cnf(c_0_139,plain,
( p(X1)
| ~ p(enc(enc(i(tc),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_140,plain,
( p(enc(X1,X2))
| ~ p(enc(tc,X2))
| ~ p(enc(tmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_141,plain,
p(enc(tc,k)),
inference(split_conjunct,[status(thm)],[intruder_knows_5]),
[final] ).
cnf(c_0_142,plain,
( p(enc(i(enc(i(zcmk),X2)),enc(i(tmk),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_143,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(X2,X3),X1))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_30]),
[final] ).
cnf(c_0_144,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(tmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_45])]),
[final] ).
cnf(c_0_145,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X4))
| ~ p(enc(X4,X3))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_146,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_122,c_0_33]),
[final] ).
cnf(c_0_147,plain,
( p(enc(w,enc(i(enc(X1,X2)),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_29]),
[final] ).
cnf(c_0_148,plain,
( p(enc(pp,X1))
| ~ p(enc(w,X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_45]),
[final] ).
cnf(c_0_149,plain,
( p(enc(w,X1))
| ~ p(enc(tc,X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_33]),
[final] ).
cnf(c_0_150,plain,
( p(enc(w,enc(i(enc(i(tmk),X1)),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_33]) ).
cnf(c_0_151,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(wk),X3),X2))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_29]),
[final] ).
cnf(c_0_152,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(w,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_79,c_0_45]),
[final] ).
cnf(c_0_153,plain,
( ~ p(enc(i(zcmk),X1))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_29]),
[final] ).
cnf(c_0_154,plain,
( p(enc(X1,enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_69,c_0_29]),
[final] ).
cnf(c_0_155,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(pp,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_30]),
[final] ).
cnf(c_0_156,plain,
( ~ p(enc(i(wk),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_77]),
[final] ).
cnf(c_0_157,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(wk,i(tmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]),
[final] ).
cnf(c_0_158,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_43]) ).
cnf(c_0_159,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(enc(wk,enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_91]) ).
cnf(c_0_160,plain,
( p(enc(tmk,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_161,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(enc(lp,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_162,plain,
( p(enc(X1,t2))
| ~ p(enc(wk,X1)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]),
[final] ).
cnf(c_0_163,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_29]),
[final] ).
cnf(c_0_164,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_136]),c_0_52])]),
[final] ).
fof(c_0_165,plain,
! [X64,X65,X66] :
( ~ p(X64)
| ~ p(X65)
| ~ p(X66)
| p(enc(enc(i(tc),X64),X65)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[data_encrypt])]) ).
cnf(c_0_166,plain,
( ~ p(enc(wk,enc(i(zcmk),X1)))
| ~ p(enc(i(pp),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_137,c_0_91]) ).
cnf(c_0_167,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_168,plain,
( p(X1)
| ~ p(enc(tc,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_169,plain,
( p(enc(X1,k))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]),
[final] ).
cnf(c_0_170,plain,
( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_33]),
[final] ).
cnf(c_0_171,plain,
( p(enc(X1,X2))
| ~ p(enc(pp,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_172,plain,
( p(enc(pp,enc(i(enc(X1,X2)),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_143,c_0_29]),
[final] ).
cnf(c_0_173,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(enc(tmk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_174,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X4))
| ~ p(enc(X4,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_55]),
[final] ).
cnf(c_0_175,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(i(wk),X4),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_29]),
[final] ).
cnf(c_0_176,plain,
( p(enc(enc(i(wk),X1),enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_146,c_0_30]),
[final] ).
cnf(c_0_177,plain,
( p(enc(X1,enc(i(enc(X2,X3)),X4)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(tmk,X1))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_147]),
[final] ).
cnf(c_0_178,plain,
( p(enc(pp,X1))
| ~ p(enc(tc,X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]),
[final] ).
cnf(c_0_179,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(wk,i(enc(i(zcmk),X4))))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_131]),
[final] ).
cnf(c_0_180,plain,
( p(enc(i(X1),X2))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_181,plain,
( p(enc(w,enc(i(enc(i(tmk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_150,c_0_33]),
[final] ).
cnf(c_0_182,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(wk,i(X2)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_151,c_0_86]) ).
cnf(c_0_183,plain,
( p(enc(X1,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(w,X2))
| ~ p(enc(X3,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_184,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]),
[final] ).
cnf(c_0_185,plain,
( p(X1)
| ~ p(enc(pp,enc(i(enc(X2,X3)),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_155,c_0_29]),
[final] ).
cnf(c_0_186,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_154]),
[final] ).
cnf(c_0_187,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(X2),X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_188,plain,
( p(enc(w,X1))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_45]) ).
cnf(c_0_189,plain,
( p(enc(tmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_30]),
[final] ).
cnf(c_0_190,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_191,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(enc(wk,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_59]),c_0_30]) ).
cnf(c_0_192,plain,
( p(enc(tmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_193,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(lp,X3))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_64]),
[final] ).
cnf(c_0_194,plain,
( p(enc(X1,t2))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_162,c_0_55]),
[final] ).
cnf(c_0_195,plain,
( p(enc(pp,X1))
| ~ p(enc(wk,enc(i(zcmk),X2)))
| ~ p(enc(enc(i(tc),X3),X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_196,plain,
( p(enc(enc(i(tc),X1),X2))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_197,plain,
( ~ p(enc(i(pp),X1))
| ~ p(enc(wk,X2))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_29]),c_0_30]) ).
cnf(c_0_198,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_199,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_200,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(wk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_201,plain,
p(enc(w,t1)),
inference(split_conjunct,[status(thm)],[intruder_knows_3]),
[final] ).
cnf(c_0_202,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(wk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_203,plain,
( p(X1)
| ~ p(enc(k,X1)) ),
inference(spm,[status(thm)],[c_0_168,c_0_141]),
[final] ).
cnf(c_0_204,plain,
( ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_205,plain,
( p(enc(enc(i(tmk),X1),k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_29]),
[final] ).
cnf(c_0_206,plain,
( p(enc(i(tmk),X1))
| ~ p(enc(i(zcmk),X2))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_170]),c_0_30]) ).
cnf(c_0_207,plain,
( p(enc(X1,enc(i(enc(X2,X3)),X4)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(X5,X1))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]),
[final] ).
cnf(c_0_208,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tmk,X4))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X4,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_64]),
[final] ).
cnf(c_0_209,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(i(X4),X5),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_174,c_0_64]),
[final] ).
cnf(c_0_210,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,X4))
| ~ p(enc(X4,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_57]),
[final] ).
cnf(c_0_211,plain,
( p(enc(enc(X1,X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_212,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_55]),
[final] ).
cnf(c_0_213,plain,
( p(enc(enc(i(wk),X1),enc(X2,X3)))
| ~ p(enc(tmk,i(X2)))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_30]),
[final] ).
cnf(c_0_214,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_177]),
[final] ).
cnf(c_0_215,plain,
( p(enc(X1,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tc,X2))
| ~ p(enc(X3,X1)) ),
inference(spm,[status(thm)],[c_0_171,c_0_178]),
[final] ).
cnf(c_0_216,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_177]),
[final] ).
cnf(c_0_217,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_177]),
[final] ).
cnf(c_0_218,plain,
( p(enc(X1,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tmk,X1))
| ~ p(enc(X4,X2))
| ~ p(enc(X3,X4)) ),
inference(spm,[status(thm)],[c_0_74,c_0_55]),
[final] ).
cnf(c_0_219,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(enc(i(zcmk),X3))))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]),
[final] ).
cnf(c_0_220,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,i(enc(i(zcmk),X4))))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_221,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(tmk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_222,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(wk,i(X2)))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_182,c_0_33]),
[final] ).
cnf(c_0_223,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_29]),
[final] ).
cnf(c_0_224,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(i(X2),X3)),X4))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_154]),
[final] ).
cnf(c_0_225,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(enc(w,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_183,c_0_29]),
[final] ).
cnf(c_0_226,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(wk,i(X4)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_154]),
[final] ).
cnf(c_0_227,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_228,plain,
( p(X1)
| ~ p(enc(tc,enc(i(enc(X2,X3)),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_185,c_0_178]),
[final] ).
cnf(c_0_229,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_230,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_231,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_171,c_0_29]),
[final] ).
cnf(c_0_232,plain,
( p(enc(w,X1))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_188,c_0_33]),
[final] ).
cnf(c_0_233,plain,
( p(enc(w,enc(i(tc),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3)
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_136]),c_0_189]) ).
cnf(c_0_234,plain,
( p(enc(w,enc(i(tmk),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3)
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_190]),c_0_189]) ).
cnf(c_0_235,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X3))
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_55]),c_0_192]) ).
cnf(c_0_236,plain,
( p(enc(w,X1))
| ~ p(enc(lp,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_193]),c_0_29])]) ).
cnf(c_0_237,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(pp,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_57]),
[final] ).
cnf(c_0_238,plain,
( p(enc(enc(i(X1),X2),t2))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_194,c_0_64]),
[final] ).
cnf(c_0_239,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(tc),X2),X1))
| ~ p(enc(wk,X3))
| ~ p(enc(zcmk,X3))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_29]),c_0_30]) ).
cnf(c_0_240,plain,
( p(enc(enc(i(tc),X1),X2))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_196,c_0_33]),
[final] ).
cnf(c_0_241,plain,
( ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X1))
| ~ p(enc(pp,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_29]),c_0_30]) ).
cnf(c_0_242,plain,
( p(enc(i(X1),enc(i(tmk),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_243,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(spm,[status(thm)],[c_0_198,c_0_45]),
[final] ).
cnf(c_0_244,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(spm,[status(thm)],[c_0_199,c_0_52]),
[final] ).
cnf(c_0_245,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_200]),
[final] ).
cnf(c_0_246,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_88]),
[final] ).
cnf(c_0_247,plain,
( p(enc(X1,t1))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_201]),
[final] ).
cnf(c_0_248,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(w,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_202,c_0_45]),
[final] ).
cnf(c_0_249,plain,
( p(enc(pp,X1))
| ~ p(enc(lp,X1)) ),
inference(spm,[status(thm)],[c_0_161,c_0_52]),
[final] ).
cnf(c_0_250,plain,
( p(enc(i(lp),X1))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_115]),
[final] ).
cnf(c_0_251,plain,
( ~ p(enc(enc(i(pp),X1),X2))
| ~ p(enc(wk,zcmk))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_91]) ).
cnf(c_0_252,plain,
( p(enc(enc(i(X1),X2),pp))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_64]),
[final] ).
cnf(c_0_253,plain,
( ~ p(enc(wk,X1))
| ~ p(i(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_254,plain,
( p(enc(enc(i(wk),X1),k))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_205]) ).
cnf(c_0_255,plain,
( p(enc(tmk,X1))
| ~ p(enc(X2,X1))
| ~ p(zcmk)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_192,c_0_58]),
[final] ).
cnf(c_0_256,plain,
( p(X1)
| ~ p(enc(enc(i(pp),X2),X1))
| ~ p(enc(wk,tc))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_91]),
[final] ).
cnf(c_0_257,plain,
( p(enc(enc(i(pp),X1),pp))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_91]),
[final] ).
cnf(c_0_258,plain,
( p(enc(i(tmk),X1))
| ~ p(i(zcmk))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_58]) ).
cnf(c_0_259,plain,
( p(enc(X1,enc(i(enc(X2,X3)),X4)))
| ~ p(enc(enc(i(zcmk),X5),X1))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X5)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_207,c_0_29]),
[final] ).
cnf(c_0_260,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(i(X4),X5),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_208,c_0_64]),
[final] ).
cnf(c_0_261,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(X4,X5),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,i(X4)))
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_209,c_0_30]),
[final] ).
cnf(c_0_262,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(enc(i(zcmk),X2)),X3),X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_57]),
[final] ).
cnf(c_0_263,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_56]),c_0_45])]),
[final] ).
cnf(c_0_264,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(wk),X4),X3))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_210,c_0_29]),
[final] ).
cnf(c_0_265,plain,
( p(enc(enc(X1,X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_211,c_0_33]),
[final] ).
cnf(c_0_266,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(tmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_131]),c_0_45])]),
[final] ).
cnf(c_0_267,plain,
( p(enc(w,enc(i(enc(i(X1),X2)),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_29]),
[final] ).
cnf(c_0_268,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_212,c_0_57]),
[final] ).
cnf(c_0_269,plain,
( p(enc(enc(X1,X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,i(X3)))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_175,c_0_213]) ).
cnf(c_0_270,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_271,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(enc(tc,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_215,c_0_29]),
[final] ).
cnf(c_0_272,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_273,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_274,plain,
( p(X1)
| ~ p(enc(pp,enc(i(enc(i(X2),X3)),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_29]),
[final] ).
cnf(c_0_275,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(tmk,X1))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_218,c_0_29]),
[final] ).
cnf(c_0_276,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(i(X3),X4))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_277,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_278,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(X3,X4))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_279,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_200]),c_0_45])]),
[final] ).
cnf(c_0_280,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(wk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_281,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(tmk,i(X2)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_151,c_0_213]) ).
cnf(c_0_282,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_223]),c_0_52])]),
[final] ).
cnf(c_0_283,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_190]),c_0_52])]),
[final] ).
cnf(c_0_284,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(X3,X4),X2))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(wk,X1))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_69,c_0_30]),
[final] ).
cnf(c_0_285,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(i(X2),X3)),X4))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_224,c_0_55]),
[final] ).
cnf(c_0_286,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(w,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_29]),
[final] ).
cnf(c_0_287,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_226,c_0_180]),
[final] ).
cnf(c_0_288,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(wk,i(X4)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_289,plain,
( ~ p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_227,c_0_119]),
[final] ).
cnf(c_0_290,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,X3))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_291,plain,
( ~ p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_229,c_0_119]),
[final] ).
cnf(c_0_292,plain,
( ~ p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_230,c_0_119]),
[final] ).
cnf(c_0_293,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_231,c_0_29]),
[final] ).
cnf(c_0_294,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_232]),
[final] ).
cnf(c_0_295,plain,
( p(enc(w,enc(i(tc),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_30]) ).
cnf(c_0_296,plain,
( p(enc(w,enc(i(tmk),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_30]) ).
cnf(c_0_297,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(lp,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_57]),
[final] ).
cnf(c_0_298,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_29]) ).
cnf(c_0_299,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(wk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_29]),
[final] ).
cnf(c_0_300,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(w,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_30]),
[final] ).
cnf(c_0_301,plain,
( p(enc(w,enc(i(lp),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_236,c_0_29]) ).
cnf(c_0_302,plain,
( p(enc(w,X1))
| ~ p(enc(pp,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_237]) ).
cnf(c_0_303,plain,
( p(enc(X1,t2))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_304,plain,
( ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).
cnf(c_0_305,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_242,c_0_30]),
[final] ).
cnf(c_0_306,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(lp,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_193,c_0_30]),
[final] ).
cnf(c_0_307,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(i(wk),X2)),X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_200]),
[final] ).
cnf(c_0_308,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(i(tmk),X2)),X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_88]),
[final] ).
cnf(c_0_309,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_243,c_0_29]),
[final] ).
cnf(c_0_310,plain,
( p(X1)
| ~ p(enc(i(enc(i(tc),X2)),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_240,c_0_29]),
[final] ).
cnf(c_0_311,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_244,c_0_29]),
[final] ).
cnf(c_0_312,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_313,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_314,plain,
( p(enc(enc(i(tmk),X1),t1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_29]),
[final] ).
cnf(c_0_315,plain,
( p(enc(enc(i(tmk),X1),t2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_46]),
[final] ).
cnf(c_0_316,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(lp,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_29]),
[final] ).
cnf(c_0_317,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(w,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_46]),
[final] ).
cnf(c_0_318,plain,
( p(X1)
| ~ p(enc(w,enc(i(enc(i(wk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_248,c_0_29]),
[final] ).
cnf(c_0_319,plain,
( p(enc(pp,enc(i(w),X1)))
| ~ p(enc(tmk,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_223]) ).
cnf(c_0_320,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_88]),
[final] ).
cnf(c_0_321,plain,
( p(enc(X1,X2))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_322,plain,
( ~ p(enc(tmk,enc(i(tc),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_190]),c_0_130]),
[final] ).
cnf(c_0_323,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_38]),
[final] ).
cnf(c_0_324,plain,
( p(X1)
| ~ p(enc(wk,k))
| ~ p(enc(lp,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_325,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(pp,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_29]),
[final] ).
cnf(c_0_326,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_88]),
[final] ).
cnf(c_0_327,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_88]),
[final] ).
cnf(c_0_328,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_38]),
[final] ).
cnf(c_0_329,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_38]),
[final] ).
cnf(c_0_330,plain,
( ~ p(enc(i(lp),X1))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_115]),
[final] ).
cnf(c_0_331,plain,
( ~ p(enc(i(pp),X1))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_91]),
[final] ).
cnf(c_0_332,plain,
( ~ p(enc(wk,zcmk))
| ~ p(enc(pp,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_29]),c_0_30]) ).
cnf(c_0_333,plain,
p(enc(pp,k)),
inference(spm,[status(thm)],[c_0_169,c_0_52]),
[final] ).
cnf(c_0_334,plain,
( ~ p(enc(i(pp),X1))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_91]),
[final] ).
cnf(c_0_335,plain,
( ~ p(i(enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_252]),c_0_67]),
[final] ).
cnf(c_0_336,plain,
( p(enc(enc(i(lp),X1),pp))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_115]),
[final] ).
cnf(c_0_337,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(lp)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_58]),
[final] ).
cnf(c_0_338,plain,
( ~ p(enc(wk,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_77]),
[final] ).
cnf(c_0_339,plain,
( p(enc(enc(i(wk),X1),k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_33]),
[final] ).
cnf(c_0_340,plain,
( p(enc(i(tmk),X1))
| ~ p(i(enc(i(tmk),X2)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_37]) ).
cnf(c_0_341,plain,
( p(enc(tmk,X1))
| ~ p(zcmk)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_255,c_0_58]) ).
cnf(c_0_342,plain,
( p(X1)
| ~ p(enc(X2,X1))
| ~ p(tc)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_58]),
[final] ).
cnf(c_0_343,plain,
( p(X1)
| ~ p(enc(wk,tc))
| ~ p(enc(pp,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_344,plain,
p(enc(pp,pp)),
inference(spm,[status(thm)],[c_0_60,c_0_52]),
[final] ).
cnf(c_0_345,plain,
( p(enc(X1,pp))
| ~ p(enc(wk,tmk))
| ~ p(enc(pp,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_346,plain,
( p(enc(X1,pp))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_347,plain,
( p(enc(i(tmk),X1))
| ~ p(i(zcmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_258,c_0_33]) ).
cnf(c_0_348,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,X4))
| ~ p(enc(X4,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_57]),
[final] ).
cnf(c_0_349,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(X3,X4)),X5)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X5)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_259,c_0_29]),
[final] ).
cnf(c_0_350,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(i(enc(i(zcmk),X4)),X5),X3))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_208,c_0_57]),
[final] ).
cnf(c_0_351,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(X4,X5),X3))
| ~ p(enc(zcmk,i(X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_260,c_0_30]),
[final] ).
cnf(c_0_352,plain,
( p(enc(enc(X1,X2),enc(i(enc(X3,X4)),X5)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_261,c_0_29]),
[final] ).
cnf(c_0_353,plain,
( p(enc(pp,enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_262,c_0_29]),
[final] ).
cnf(c_0_354,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(tmk,X2))
| ~ p(enc(X4,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_263]),
[final] ).
cnf(c_0_355,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X5)
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_264,c_0_176]) ).
cnf(c_0_356,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(tmk,i(X3)))
| ~ p(X5)
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_264,c_0_213]) ).
cnf(c_0_357,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_199,c_0_57]),
[final] ).
cnf(c_0_358,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(wk,i(X3)))
| ~ p(X5)
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_264,c_0_86]) ).
cnf(c_0_359,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(wk,X2))
| ~ p(enc(X4,X1))
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_68]),c_0_52])]),
[final] ).
cnf(c_0_360,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X3))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_361,plain,
( p(enc(pp,enc(i(enc(i(X1),X2)),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_29]),
[final] ).
cnf(c_0_362,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X4,X1))
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_107]),c_0_52])]),
[final] ).
cnf(c_0_363,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_107]),c_0_52])]),
[final] ).
cnf(c_0_364,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_266]),
[final] ).
cnf(c_0_365,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(tmk,i(wk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_266]),
[final] ).
cnf(c_0_366,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_266]),
[final] ).
cnf(c_0_367,plain,
( p(enc(X1,enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_267]),
[final] ).
cnf(c_0_368,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X4,X3))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_199,c_0_64]),
[final] ).
cnf(c_0_369,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(X3),X4),X2))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_212,c_0_64]),
[final] ).
cnf(c_0_370,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_268,c_0_29]),
[final] ).
cnf(c_0_371,plain,
( p(enc(pp,enc(i(enc(i(wk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_200]),c_0_45])]),
[final] ).
cnf(c_0_372,plain,
( p(enc(pp,enc(i(enc(i(tmk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_88]),c_0_45])]),
[final] ).
cnf(c_0_373,plain,
( p(enc(enc(X1,X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,i(X3)))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_269,c_0_33]),
[final] ).
cnf(c_0_374,plain,
( ~ p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_270,c_0_119]),
[final] ).
cnf(c_0_375,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_271,c_0_29]),
[final] ).
cnf(c_0_376,plain,
( ~ p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_272,c_0_119]),
[final] ).
cnf(c_0_377,plain,
( ~ p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_273,c_0_119]),
[final] ).
cnf(c_0_378,plain,
( p(X1)
| ~ p(enc(tc,enc(i(enc(i(X2),X3)),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_274,c_0_178]),
[final] ).
cnf(c_0_379,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tc,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_99]) ).
cnf(c_0_380,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
| ~ p(enc(tmk,X1))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_275,c_0_29]),
[final] ).
cnf(c_0_381,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(X3),X4),X2))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_72,c_0_64]),
[final] ).
cnf(c_0_382,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_72,c_0_57]),
[final] ).
cnf(c_0_383,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(i(X3),X4))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_276,c_0_55]),
[final] ).
cnf(c_0_384,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_277,c_0_55]),
[final] ).
cnf(c_0_385,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(X3,X4))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_278,c_0_55]),
[final] ).
cnf(c_0_386,plain,
( p(enc(w,enc(i(enc(i(wk),X1)),X2)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_279]),c_0_57]) ).
cnf(c_0_387,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),t1))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_247,c_0_57]),
[final] ).
cnf(c_0_388,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),t2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_194,c_0_57]),
[final] ).
cnf(c_0_389,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),k))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_169,c_0_57]),
[final] ).
cnf(c_0_390,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(wk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_280,c_0_33]),
[final] ).
cnf(c_0_391,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(tmk,i(X2)))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_281,c_0_33]),
[final] ).
cnf(c_0_392,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(wk,i(X4)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_131]),
[final] ).
cnf(c_0_393,plain,
( p(enc(enc(i(X1),X2),enc(i(lp),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_115]),c_0_29])]) ).
cnf(c_0_394,plain,
( p(enc(enc(i(X1),X2),enc(i(tc),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_164]),c_0_29])]) ).
cnf(c_0_395,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_132]),c_0_52])]),
[final] ).
cnf(c_0_396,plain,
( p(enc(enc(i(X1),X2),enc(i(w),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_282]),c_0_29])]) ).
cnf(c_0_397,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_136]),c_0_52])]),
[final] ).
cnf(c_0_398,plain,
( p(enc(enc(i(X1),X2),enc(i(tmk),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_283]),c_0_29])]) ).
cnf(c_0_399,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_223]),c_0_52])]),
[final] ).
cnf(c_0_400,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_190]),c_0_52])]),
[final] ).
cnf(c_0_401,plain,
( p(enc(X1,enc(i(enc(X2,X3)),X4)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(wk,X1))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_284,c_0_29]),
[final] ).
cnf(c_0_402,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_199,c_0_29]),
[final] ).
cnf(c_0_403,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(tmk,i(X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_404,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_131]),
[final] ).
cnf(c_0_405,plain,
( p(X1)
| ~ p(enc(w,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_286,c_0_29]),
[final] ).
cnf(c_0_406,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tc,X2))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_407,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X3,X4))
| ~ p(enc(X2,X3))
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_408,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_409,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(wk,i(wk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_131]),
[final] ).
cnf(c_0_410,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_29])]),
[final] ).
cnf(c_0_411,plain,
( p(enc(i(k),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_29]),
[final] ).
cnf(c_0_412,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_290]),c_0_29])]),
[final] ).
cnf(c_0_413,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_290]),c_0_29])]),
[final] ).
cnf(c_0_414,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_415,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(pp),X3)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_293,c_0_29]),
[final] ).
cnf(c_0_416,plain,
( p(enc(X1,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tmk,X2))
| ~ p(enc(X3,X1)) ),
inference(spm,[status(thm)],[c_0_171,c_0_294]),
[final] ).
cnf(c_0_417,plain,
( p(enc(w,enc(i(tc),X1)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_295,c_0_29]) ).
cnf(c_0_418,plain,
( p(enc(w,enc(i(tmk),X1)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_296,c_0_29]) ).
cnf(c_0_419,plain,
( p(X1)
| ~ p(enc(lp,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_297,c_0_29]),
[final] ).
cnf(c_0_420,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_298,c_0_29]) ).
cnf(c_0_421,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(tmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_299,c_0_213]) ).
cnf(c_0_422,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(wk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_299,c_0_86]) ).
cnf(c_0_423,plain,
( p(X1)
| ~ p(enc(w,enc(i(enc(X2,X3)),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_300,c_0_29]),
[final] ).
cnf(c_0_424,plain,
( p(X1)
| ~ p(enc(pp,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_237,c_0_29]),
[final] ).
cnf(c_0_425,plain,
( p(enc(w,enc(i(lp),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_301,c_0_33]) ).
cnf(c_0_426,plain,
( p(enc(w,X1))
| ~ p(enc(pp,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_302,c_0_33]) ).
cnf(c_0_427,plain,
( p(enc(X1,t2))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_303,c_0_29]),
[final] ).
cnf(c_0_428,plain,
( ~ p(enc(wk,enc(i(zcmk),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_304,c_0_29]) ).
cnf(c_0_429,plain,
( ~ p(enc(zcmk,i(enc(i(tc),X1))))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_305]),c_0_130]),
[final] ).
cnf(c_0_430,plain,
( p(X1)
| ~ p(enc(lp,enc(i(enc(X2,X3)),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_306,c_0_29]),
[final] ).
cnf(c_0_431,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(i(wk),X2)),X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_307,c_0_55]),
[final] ).
cnf(c_0_432,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(i(tmk),X2)),X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_308,c_0_55]),
[final] ).
cnf(c_0_433,plain,
( p(enc(w,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_309,c_0_29]),
[final] ).
cnf(c_0_434,plain,
( p(X1)
| ~ p(enc(pp,enc(i(X2),X1)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_435,plain,
( p(X1)
| ~ p(enc(i(X2),X1))
| ~ p(enc(tc,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_436,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(wk),X3),X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_437,plain,
( p(enc(pp,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_311,c_0_29]),
[final] ).
cnf(c_0_438,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_439,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_440,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(t1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]),
[final] ).
cnf(c_0_441,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(t2)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_313,c_0_315]),
[final] ).
cnf(c_0_442,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(k)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_313,c_0_205]),
[final] ).
cnf(c_0_443,plain,
( p(X1)
| ~ p(enc(lp,enc(i(enc(i(tmk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_316,c_0_29]),
[final] ).
cnf(c_0_444,plain,
( p(X1)
| ~ p(enc(w,enc(i(enc(i(tmk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_317,c_0_29]),
[final] ).
cnf(c_0_445,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_43]) ).
cnf(c_0_446,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(wk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_38]),
[final] ).
cnf(c_0_447,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_100,c_0_56]),
[final] ).
cnf(c_0_448,plain,
( p(X1)
| ~ p(enc(w,enc(i(X2),X1)))
| ~ p(enc(wk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_449,plain,
( ~ p(enc(i(w),X1))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_282]),
[final] ).
cnf(c_0_450,plain,
( p(enc(enc(i(X1),X2),t1))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_247,c_0_64]),
[final] ).
cnf(c_0_451,plain,
( p(enc(pp,enc(i(tc),X1)))
| ~ p(enc(wk,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_164]) ).
cnf(c_0_452,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,lp))
| ~ p(enc(w,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_29]),c_0_30]) ).
cnf(c_0_453,plain,
( p(enc(pp,enc(i(tmk),X1)))
| ~ p(enc(wk,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_283]) ).
cnf(c_0_454,plain,
( p(enc(pp,enc(i(tmk),X1)))
| ~ p(enc(tmk,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_190]) ).
cnf(c_0_455,plain,
( ~ p(enc(i(w),X1))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_223]),
[final] ).
cnf(c_0_456,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_457,plain,
( ~ p(enc(i(tc),X1))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_164]),
[final] ).
cnf(c_0_458,plain,
( p(enc(k,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_141]),
[final] ).
cnf(c_0_459,plain,
( ~ p(enc(tmk,enc(i(zcmk),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_136]),c_0_322]),
[final] ).
cnf(c_0_460,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(tmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_56]),
[final] ).
cnf(c_0_461,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(wk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_323,c_0_30]),
[final] ).
cnf(c_0_462,plain,
( p(t2)
| ~ p(enc(wk,k)) ),
inference(spm,[status(thm)],[c_0_324,c_0_134]),
[final] ).
cnf(c_0_463,plain,
( ~ p(enc(tmk,k))
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_190]),c_0_130]),
[final] ).
cnf(c_0_464,plain,
( p(X1)
| ~ p(enc(pp,enc(i(enc(i(tmk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_325,c_0_29]),
[final] ).
cnf(c_0_465,plain,
( p(X1)
| ~ p(enc(lp,enc(i(enc(i(wk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_29]),
[final] ).
cnf(c_0_466,plain,
p(enc(pp,t1)),
inference(spm,[status(thm)],[c_0_247,c_0_52]),
[final] ).
cnf(c_0_467,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_468,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_469,plain,
( p(X1)
| ~ p(enc(pp,enc(i(enc(i(wk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_29]),
[final] ).
cnf(c_0_470,plain,
( p(X1)
| ~ p(enc(tc,enc(i(enc(i(tmk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_29]),
[final] ).
cnf(c_0_471,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_56]),
[final] ).
cnf(c_0_472,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_56]),
[final] ).
cnf(c_0_473,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(wk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_328,c_0_30]),
[final] ).
cnf(c_0_474,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(wk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_329,c_0_30]),
[final] ).
cnf(c_0_475,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tc,lp))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_330,c_0_180]),
[final] ).
cnf(c_0_476,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(lp,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_477,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(i(lp))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_330,c_0_58]),
[final] ).
cnf(c_0_478,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(enc(i(tmk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_29]),
[final] ).
cnf(c_0_479,plain,
( ~ p(enc(i(tc),X1))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_136]),
[final] ).
cnf(c_0_480,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tc,pp))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_331,c_0_180]),
[final] ).
cnf(c_0_481,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(pp,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_482,plain,
( ~ p(enc(wk,zcmk))
| ~ p(enc(k,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_203]) ).
cnf(c_0_483,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(pp),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_91]),
[final] ).
cnf(c_0_484,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(pp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_91]),
[final] ).
cnf(c_0_485,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(pp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_91]),
[final] ).
cnf(c_0_486,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(pp,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_487,plain,
( p(enc(i(enc(i(zcmk),X1)),X2))
| ~ p(enc(tmk,X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_488,plain,
( ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(i(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_489,plain,
( ~ p(i(enc(i(lp),X1)))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_336]),c_0_67]),
[final] ).
cnf(c_0_490,plain,
( p(enc(X1,pp))
| ~ p(enc(wk,tmk))
| ~ p(enc(lp,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_491,plain,
( ~ p(enc(i(X1),X2))
| ~ p(enc(wk,tmk))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_56]),
[final] ).
cnf(c_0_492,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(lp),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_115]),
[final] ).
cnf(c_0_493,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(lp)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_337,c_0_55]),
[final] ).
cnf(c_0_494,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(lp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_115]),
[final] ).
cnf(c_0_495,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(lp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_115]),
[final] ).
cnf(c_0_496,plain,
( ~ p(enc(i(lp),X1))
| ~ p(enc(wk,wk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_338,c_0_115]) ).
cnf(c_0_497,plain,
( p(enc(X1,k))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_498,plain,
( ~ p(enc(i(lp),X1))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_115]),
[final] ).
cnf(c_0_499,plain,
( p(enc(i(tmk),X1))
| ~ p(enc(tc,zcmk))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_180]) ).
cnf(c_0_500,plain,
( p(enc(i(tmk),X1))
| ~ p(enc(tmk,X2))
| ~ p(i(X2))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_29]),c_0_30]) ).
cnf(c_0_501,plain,
p(i(kk)),
inference(split_conjunct,[status(thm)],[intruder_knows_7]),
[final] ).
cnf(c_0_502,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(wk),X1))) ),
inference(spm,[status(thm)],[c_0_55,c_0_29]),
[final] ).
cnf(c_0_503,plain,
( p(enc(tmk,X1))
| ~ p(zcmk)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_341,c_0_33]),
[final] ).
cnf(c_0_504,plain,
( p(enc(X1,X2))
| ~ p(i(X1))
| ~ p(tc)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_342,c_0_59]),
[final] ).
cnf(c_0_505,plain,
( p(X1)
| ~ p(enc(wk,tc))
| ~ p(enc(pp,X1)) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]),
[final] ).
cnf(c_0_506,plain,
( p(enc(k,pp))
| ~ p(enc(wk,tmk)) ),
inference(spm,[status(thm)],[c_0_345,c_0_333]),
[final] ).
cnf(c_0_507,plain,
( p(enc(i(pp),X1))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_91]),
[final] ).
cnf(c_0_508,plain,
( p(enc(X1,X2))
| ~ p(enc(tmk,X1))
| ~ p(tc)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_140,c_0_58]),
[final] ).
cnf(c_0_509,plain,
p(enc(w,pp)),
inference(spm,[status(thm)],[c_0_346,c_0_45]),
[final] ).
cnf(c_0_510,plain,
( p(X1)
| ~ p(enc(tmk,X1))
| ~ p(i(zcmk)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_29]),c_0_30]) ).
cnf(c_0_511,plain,
( p(X1)
| ~ p(enc(tmk,X1))
| ~ p(i(wk)) ),
inference(spm,[status(thm)],[c_0_65,c_0_55]) ).
cnf(c_0_512,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(enc(i(zcmk),X4)),X5),X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_348,c_0_57]),
[final] ).
cnf(c_0_513,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(X4),X5),X3))
| ~ p(enc(zcmk,X4))
| ~ p(X1)
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_348,c_0_64]),
[final] ).
cnf(c_0_514,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(X5,X3))
| ~ p(X2)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_515,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(i(enc(i(zcmk),X4)),X5),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_174,c_0_57]),
[final] ).
cnf(c_0_516,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_350,c_0_29]),
[final] ).
cnf(c_0_517,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(X3,X4)),X5)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_351,c_0_29]),
[final] ).
cnf(c_0_518,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(tmk),X4),X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_210,c_0_46]),
[final] ).
cnf(c_0_519,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(X5,X3))
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_520,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(X5,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_353]),
[final] ).
cnf(c_0_521,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(enc(tmk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_354,c_0_29]),
[final] ).
cnf(c_0_522,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(i(tmk),X4),X3))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_79,c_0_46]),
[final] ).
cnf(c_0_523,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_355,c_0_33]),
[final] ).
cnf(c_0_524,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(tmk,i(X3)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_356,c_0_33]),
[final] ).
cnf(c_0_525,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X3))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_357,c_0_29]),
[final] ).
cnf(c_0_526,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(wk,i(X3)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_358,c_0_33]),
[final] ).
cnf(c_0_527,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(enc(wk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_359,c_0_29]),
[final] ).
cnf(c_0_528,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_360,c_0_29]),
[final] ).
cnf(c_0_529,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(i(tmk),X4),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_145,c_0_46]),
[final] ).
cnf(c_0_530,plain,
( p(enc(X1,enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X5,X1))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_361]),
[final] ).
cnf(c_0_531,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_362,c_0_29]),
[final] ).
cnf(c_0_532,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_363]),c_0_29])]) ).
cnf(c_0_533,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tmk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_56]),c_0_29])]) ).
cnf(c_0_534,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(wk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_38]),c_0_29])]) ).
cnf(c_0_535,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(tmk,i(enc(i(zcmk),X4))))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_266]),
[final] ).
cnf(c_0_536,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_364,c_0_180]),
[final] ).
cnf(c_0_537,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_538,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(wk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_365,c_0_180]),
[final] ).
cnf(c_0_539,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,i(wk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_540,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_366,c_0_180]),
[final] ).
cnf(c_0_541,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_542,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_367]),
[final] ).
cnf(c_0_543,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_367]),
[final] ).
cnf(c_0_544,plain,
( ~ p(enc(i(enc(i(X1),X2)),X3))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_367]),
[final] ).
cnf(c_0_545,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X3))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_368,c_0_29]),
[final] ).
cnf(c_0_546,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(X3,X4),X2))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_369,c_0_30]),
[final] ).
cnf(c_0_547,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_548,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_371]),
[final] ).
cnf(c_0_549,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_372]),
[final] ).
cnf(c_0_550,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X5,X3))
| ~ p(enc(X4,X5))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_551,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_363]),c_0_29])]) ).
cnf(c_0_552,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_56]),c_0_29])]) ).
cnf(c_0_553,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_38]),c_0_29])]) ).
cnf(c_0_554,plain,
( p(enc(enc(i(X1),X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_85,c_0_176]) ).
cnf(c_0_555,plain,
( p(enc(enc(i(X1),X2),enc(X3,X4)))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_85,c_0_213]) ).
cnf(c_0_556,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(X2,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_373]),c_0_30]),c_0_29])]),
[final] ).
cnf(c_0_557,plain,
( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_29])]),
[final] ).
cnf(c_0_558,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(X2,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_106]),c_0_29])]),
[final] ).
cnf(c_0_559,plain,
( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(wk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_375]),c_0_29])]),
[final] ).
cnf(c_0_560,plain,
( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_375]),c_0_29])]),
[final] ).
cnf(c_0_561,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_562,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tc,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_379,c_0_33]),
[final] ).
cnf(c_0_563,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_118]),c_0_52])]),
[final] ).
cnf(c_0_564,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(tmk,X1))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_565,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(X3),X4),X2))
| ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_566,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(X3,X4),X2))
| ~ p(enc(zcmk,i(X3)))
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_381,c_0_30]),
[final] ).
cnf(c_0_567,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_382,c_0_29]),
[final] ).
cnf(c_0_568,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(i(X2),X4))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_569,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X4,X2))
| ~ p(enc(X3,X4))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_46]),
[final] ).
cnf(c_0_570,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(tc,X2))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_571,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(tc,enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_572,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X2,X4))
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_573,plain,
( p(enc(w,enc(i(enc(i(wk),X1)),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_386,c_0_33]) ).
cnf(c_0_574,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(X2),X3),X4))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_575,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_68]),c_0_29])]) ).
cnf(c_0_576,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(w,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_220,c_0_286]),
[final] ).
cnf(c_0_577,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(lp,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_220,c_0_297]),
[final] ).
cnf(c_0_578,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(tc,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_220,c_0_375]),
[final] ).
cnf(c_0_579,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(pp,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_220,c_0_237]),
[final] ).
cnf(c_0_580,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(t1)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_220,c_0_387]),
[final] ).
cnf(c_0_581,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(t2)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_220,c_0_388]),
[final] ).
cnf(c_0_582,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(k)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_220,c_0_389]),
[final] ).
cnf(c_0_583,plain,
( p(enc(w,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_584,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(tmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_221,c_0_391]) ).
cnf(c_0_585,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(tmk),X3),X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_46]),
[final] ).
cnf(c_0_586,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_392,c_0_180]),
[final] ).
cnf(c_0_587,plain,
( p(enc(enc(i(X1),X2),enc(i(lp),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_393,c_0_33]),
[final] ).
cnf(c_0_588,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,i(X4)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_589,plain,
( p(enc(enc(i(X1),X2),enc(i(tc),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_394,c_0_33]),
[final] ).
cnf(c_0_590,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_395,c_0_29]),
[final] ).
cnf(c_0_591,plain,
( p(enc(enc(i(X1),X2),enc(i(w),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_396,c_0_33]),
[final] ).
cnf(c_0_592,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_397,c_0_29]),
[final] ).
cnf(c_0_593,plain,
( p(enc(enc(i(X1),X2),enc(i(tmk),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_398,c_0_33]),
[final] ).
cnf(c_0_594,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_399,c_0_29]),
[final] ).
cnf(c_0_595,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_400,c_0_29]),
[final] ).
cnf(c_0_596,plain,
( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_375]),c_0_29])]),
[final] ).
cnf(c_0_597,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(X2,X3)),X4))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_401]),
[final] ).
cnf(c_0_598,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_402,c_0_29]),
[final] ).
cnf(c_0_599,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_403,c_0_180]),
[final] ).
cnf(c_0_600,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tmk,i(X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_601,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_404,c_0_180]),
[final] ).
cnf(c_0_602,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_603,plain,
( p(X1)
| ~ p(enc(w,enc(i(X2),X1)))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_604,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tc,X2))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_406,c_0_55]),
[final] ).
cnf(c_0_605,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X3,X4))
| ~ p(enc(X2,X3))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_407,c_0_55]),
[final] ).
cnf(c_0_606,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_408,c_0_55]),
[final] ).
cnf(c_0_607,plain,
( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(wk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_375]),c_0_29])]),
[final] ).
cnf(c_0_608,plain,
( ~ p(enc(zcmk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(tmk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_375]),c_0_29])]),
[final] ).
cnf(c_0_609,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(wk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_409,c_0_180]),
[final] ).
cnf(c_0_610,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,i(wk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_611,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_612,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_149]),c_0_29])]),
[final] ).
cnf(c_0_613,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_178]),c_0_29])]),
[final] ).
cnf(c_0_614,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_184,c_0_180]),
[final] ).
cnf(c_0_615,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_616,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(X1,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_227,c_0_30]),
[final] ).
cnf(c_0_617,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(X1,X2))
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_227,c_0_180]),
[final] ).
cnf(c_0_618,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_619,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,k))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_227,c_0_411]),
[final] ).
cnf(c_0_620,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(wk,i(tmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_157,c_0_180]),
[final] ).
cnf(c_0_621,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,i(tmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_622,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_623,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_624,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_149]),c_0_29])]),
[final] ).
cnf(c_0_625,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_178]),c_0_29])]),
[final] ).
cnf(c_0_626,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_186,c_0_180]),
[final] ).
cnf(c_0_627,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_628,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(X1,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_229,c_0_30]),
[final] ).
cnf(c_0_629,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(X1,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_229,c_0_180]),
[final] ).
cnf(c_0_630,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_631,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,k))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_229,c_0_411]),
[final] ).
cnf(c_0_632,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_381,c_0_29]),
[final] ).
cnf(c_0_633,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_414,c_0_180]),
[final] ).
cnf(c_0_634,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_635,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_149]),c_0_29])]),
[final] ).
cnf(c_0_636,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_178]),c_0_29])]),
[final] ).
cnf(c_0_637,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(X1,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_230,c_0_30]),
[final] ).
cnf(c_0_638,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(X1,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_230,c_0_180]),
[final] ).
cnf(c_0_639,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_640,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,k))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_230,c_0_411]),
[final] ).
cnf(c_0_641,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_363]),c_0_29])]) ).
cnf(c_0_642,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(tmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_56]),c_0_29])]) ).
cnf(c_0_643,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(wk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_38]),c_0_29])]) ).
cnf(c_0_644,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_151,c_0_176]) ).
cnf(c_0_645,plain,
( p(enc(enc(i(X1),X2),enc(i(pp),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_646,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_416,c_0_29]),
[final] ).
cnf(c_0_647,plain,
( p(enc(w,enc(i(tc),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_417,c_0_33]) ).
cnf(c_0_648,plain,
( p(enc(w,enc(i(tmk),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_418,c_0_33]) ).
cnf(c_0_649,plain,
( p(X1)
| ~ p(enc(lp,enc(i(X2),X1)))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_650,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_651,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_118]),c_0_29])]) ).
cnf(c_0_652,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_653,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_420,c_0_33]) ).
cnf(c_0_654,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(tmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_421,c_0_33]),
[final] ).
cnf(c_0_655,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(wk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_422,c_0_33]),
[final] ).
cnf(c_0_656,plain,
( p(X1)
| ~ p(enc(w,enc(i(X2),X1)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_657,plain,
( p(X1)
| ~ p(enc(pp,enc(i(X2),X1)))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_658,plain,
( p(enc(w,enc(i(lp),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_425,c_0_33]),
[final] ).
cnf(c_0_659,plain,
( p(enc(w,X1))
| ~ p(enc(pp,X1)) ),
inference(spm,[status(thm)],[c_0_426,c_0_33]),
[final] ).
cnf(c_0_660,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_29]),
[final] ).
cnf(c_0_661,plain,
( p(enc(enc(i(tmk),X1),enc(i(lp),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_115]),c_0_29])]) ).
cnf(c_0_662,plain,
( p(enc(enc(i(tmk),X1),enc(i(w),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_282]),c_0_29])]) ).
cnf(c_0_663,plain,
( p(enc(enc(i(tmk),X1),enc(i(pp),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_91]),c_0_29])]) ).
cnf(c_0_664,plain,
( ~ p(enc(wk,enc(i(zcmk),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_115]),c_0_428]),
[final] ).
cnf(c_0_665,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_279]),
[final] ).
cnf(c_0_666,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_110]),
[final] ).
cnf(c_0_667,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_279]),
[final] ).
cnf(c_0_668,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_279]),
[final] ).
cnf(c_0_669,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_110]),
[final] ).
cnf(c_0_670,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_110]),
[final] ).
cnf(c_0_671,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_672,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(enc(i(X2),X3)),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_274,c_0_294]),
[final] ).
cnf(c_0_673,plain,
( p(X1)
| ~ p(enc(lp,enc(i(X2),X1)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_674,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(enc(X2,X3)),X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_185,c_0_294]),
[final] ).
cnf(c_0_675,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_676,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(tmk,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_30]),
[final] ).
cnf(c_0_677,plain,
( ~ p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_678,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_679,plain,
( p(X1)
| ~ p(enc(pp,enc(X2,X1)))
| ~ p(enc(X3,i(X2)))
| ~ p(enc(zcmk,X3)) ),
inference(spm,[status(thm)],[c_0_434,c_0_30]),
[final] ).
cnf(c_0_680,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(X2),X3))
| ~ p(enc(wk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_38]),
[final] ).
cnf(c_0_681,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(X2),X3))
| ~ p(enc(tmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_56]),
[final] ).
cnf(c_0_682,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_312,c_0_213]),
[final] ).
cnf(c_0_683,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_312,c_0_86]),
[final] ).
cnf(c_0_684,plain,
( ~ p(enc(wk,enc(i(tc),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_283]),c_0_130]),
[final] ).
cnf(c_0_685,plain,
( p(enc(enc(i(wk),X1),enc(i(w),X2)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_223]),c_0_29])]) ).
cnf(c_0_686,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_283]),c_0_130]),
[final] ).
cnf(c_0_687,plain,
( p(enc(enc(i(wk),X1),enc(i(pp),X2)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_91]),c_0_29])]) ).
cnf(c_0_688,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_689,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_438,c_0_55]),
[final] ).
cnf(c_0_690,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_439,c_0_55]),
[final] ).
cnf(c_0_691,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(t1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_440,c_0_55]),
[final] ).
cnf(c_0_692,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(t2)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_441,c_0_55]),
[final] ).
cnf(c_0_693,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(k)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_442,c_0_55]),
[final] ).
cnf(c_0_694,plain,
( p(X1)
| ~ p(enc(lp,enc(i(X2),X1)))
| ~ p(enc(tmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_695,plain,
( p(X1)
| ~ p(enc(w,enc(i(X2),X1)))
| ~ p(enc(tmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_696,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_445,c_0_33]),
[final] ).
cnf(c_0_697,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(wk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_446,c_0_55]),
[final] ).
cnf(c_0_698,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_447,c_0_55]),
[final] ).
cnf(c_0_699,plain,
( p(X1)
| ~ p(enc(w,enc(X2,X1)))
| ~ p(enc(wk,i(X2))) ),
inference(spm,[status(thm)],[c_0_448,c_0_30]),
[final] ).
cnf(c_0_700,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tc,w))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_449,c_0_180]),
[final] ).
cnf(c_0_701,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(w,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_702,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(w),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_282]),
[final] ).
cnf(c_0_703,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(w),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_282]),
[final] ).
cnf(c_0_704,plain,
( p(enc(enc(i(wk),X1),enc(i(tc),X2)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_89]) ).
cnf(c_0_705,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(w),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_282]),
[final] ).
cnf(c_0_706,plain,
( p(enc(enc(i(wk),X1),enc(i(tmk),X2)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_37]) ).
cnf(c_0_707,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_200]),
[final] ).
cnf(c_0_708,plain,
( p(enc(X1,t1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_709,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(lp),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_115]),
[final] ).
cnf(c_0_710,plain,
( p(enc(pp,X1))
| ~ p(enc(wk,lp))
| ~ p(enc(tc,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_29]),c_0_30]) ).
cnf(c_0_711,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,lp))
| ~ p(enc(tc,X1)) ),
inference(spm,[status(thm)],[c_0_452,c_0_149]) ).
cnf(c_0_712,plain,
( p(enc(pp,X1))
| ~ p(enc(wk,lp))
| ~ p(enc(tmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_29]),c_0_30]) ).
cnf(c_0_713,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,lp))
| ~ p(enc(tmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_29]),c_0_30]) ).
cnf(c_0_714,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tc,w))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_455,c_0_180]),
[final] ).
cnf(c_0_715,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(w,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_716,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(w),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_223]),
[final] ).
cnf(c_0_717,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(w),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_223]),
[final] ).
cnf(c_0_718,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(w),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_223]),
[final] ).
cnf(c_0_719,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(t1)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_456,c_0_314]),
[final] ).
cnf(c_0_720,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(t2)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_456,c_0_315]),
[final] ).
cnf(c_0_721,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(k)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_456,c_0_205]),
[final] ).
cnf(c_0_722,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tc,tc))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_457,c_0_180]),
[final] ).
cnf(c_0_723,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_724,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(i(tc))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_457,c_0_58]),
[final] ).
cnf(c_0_725,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(tc),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_164]),
[final] ).
cnf(c_0_726,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(i(tc),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_164]),
[final] ).
cnf(c_0_727,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(i(tc),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_164]),
[final] ).
cnf(c_0_728,plain,
( p(X1)
| ~ p(enc(i(k),X1)) ),
inference(spm,[status(thm)],[c_0_458,c_0_29]),
[final] ).
cnf(c_0_729,plain,
( ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_730,plain,
( ~ p(enc(tmk,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_731,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_460,c_0_30]),
[final] ).
cnf(c_0_732,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(wk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_461,c_0_55]),
[final] ).
cnf(c_0_733,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_734,plain,
( p(enc(enc(i(X1),X2),k))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_169,c_0_64]),
[final] ).
cnf(c_0_735,plain,
~ p(enc(tmk,k)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_55]),c_0_463]),
[final] ).
cnf(c_0_736,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_737,plain,
( p(X1)
| ~ p(enc(pp,enc(i(X2),X1)))
| ~ p(enc(tmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_738,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_200]),
[final] ).
cnf(c_0_739,plain,
( ~ p(enc(i(enc(i(wk),X1)),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_200]),
[final] ).
cnf(c_0_740,plain,
( p(X1)
| ~ p(enc(lp,enc(i(X2),X1)))
| ~ p(enc(wk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_741,plain,
( p(enc(X1,t1))
| ~ p(enc(wk,X1)) ),
inference(spm,[status(thm)],[c_0_83,c_0_466]),
[final] ).
cnf(c_0_742,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(t1)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_467,c_0_314]),
[final] ).
cnf(c_0_743,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(t1)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_468,c_0_314]),
[final] ).
cnf(c_0_744,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(t2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_468,c_0_315]),
[final] ).
cnf(c_0_745,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(k)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_468,c_0_205]),
[final] ).
cnf(c_0_746,plain,
( p(enc(X1,k))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_747,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(t2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_467,c_0_315]),
[final] ).
cnf(c_0_748,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(k)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_467,c_0_205]),
[final] ).
cnf(c_0_749,plain,
( p(X1)
| ~ p(enc(pp,enc(i(X2),X1)))
| ~ p(enc(wk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_750,plain,
( p(X1)
| ~ p(enc(tc,enc(i(X2),X1)))
| ~ p(enc(tmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_751,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_471,c_0_30]),
[final] ).
cnf(c_0_752,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_190]),c_0_130]),
[final] ).
cnf(c_0_753,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_472,c_0_30]),
[final] ).
cnf(c_0_754,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(wk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_473,c_0_55]),
[final] ).
cnf(c_0_755,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(wk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_474,c_0_55]),
[final] ).
cnf(c_0_756,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tc,lp))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_475,c_0_55]),
[final] ).
cnf(c_0_757,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(lp,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_476,c_0_55]),
[final] ).
cnf(c_0_758,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(i(lp))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_477,c_0_55]),
[final] ).
cnf(c_0_759,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(X2),X1)))
| ~ p(enc(tmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_760,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tc,tc))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_479,c_0_180]),
[final] ).
cnf(c_0_761,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_762,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(i(tc))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_479,c_0_58]),
[final] ).
cnf(c_0_763,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tc,pp))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_480,c_0_55]),
[final] ).
cnf(c_0_764,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(pp,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_481,c_0_55]),
[final] ).
cnf(c_0_765,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_766,plain,
( ~ p(enc(wk,zcmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_482,c_0_29]),
[final] ).
cnf(c_0_767,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tc,pp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_483,c_0_180]),
[final] ).
cnf(c_0_768,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(pp,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_769,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tc,pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_484,c_0_180]),
[final] ).
cnf(c_0_770,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(pp,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_771,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tc,pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_485,c_0_180]),
[final] ).
cnf(c_0_772,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(pp,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_773,plain,
( ~ p(enc(i(tc),X1))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_136]),c_0_52])]),
[final] ).
cnf(c_0_774,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_775,plain,
( ~ p(enc(i(X1),X2))
| ~ p(enc(wk,tmk))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_38]),
[final] ).
cnf(c_0_776,plain,
( p(enc(i(X1),X2))
| ~ p(enc(tmk,X2))
| ~ p(enc(zcmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_777,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_778,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_779,plain,
( p(enc(X1,pp))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_780,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(i(X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_488,c_0_29]),
[final] ).
cnf(c_0_781,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(lp,X1))
| ~ p(i(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_782,plain,
( p(enc(t2,pp))
| ~ p(enc(wk,tmk)) ),
inference(spm,[status(thm)],[c_0_490,c_0_134]),
[final] ).
cnf(c_0_783,plain,
( p(enc(enc(i(tc),X1),pp))
| ~ p(enc(tmk,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_136]) ).
cnf(c_0_784,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tmk,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_491,c_0_180]) ).
cnf(c_0_785,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(wk,k))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_492,c_0_250]),
[final] ).
cnf(c_0_786,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tc,lp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_492,c_0_180]),
[final] ).
cnf(c_0_787,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(lp,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_788,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(i(lp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_492,c_0_58]),
[final] ).
cnf(c_0_789,plain,
( p(enc(pp,X1))
| ~ p(lp)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_493,c_0_52]),
[final] ).
cnf(c_0_790,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(tc),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_136]),
[final] ).
cnf(c_0_791,plain,
( p(enc(w,X1))
| ~ p(lp)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_337,c_0_45]),
[final] ).
cnf(c_0_792,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_494,c_0_250]),
[final] ).
cnf(c_0_793,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_250]),
[final] ).
cnf(c_0_794,plain,
( ~ p(enc(wk,wk))
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_250]),c_0_497]),
[final] ).
cnf(c_0_795,plain,
( p(enc(i(X1),X2))
| ~ p(tc)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_342,c_0_29]),
[final] ).
cnf(c_0_796,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tc,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_494,c_0_180]),
[final] ).
cnf(c_0_797,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(lp,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_798,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(i(lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_494,c_0_58]),
[final] ).
cnf(c_0_799,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tc,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_180]),
[final] ).
cnf(c_0_800,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(lp,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_801,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(i(lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_58]),
[final] ).
cnf(c_0_802,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(tc),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_136]),
[final] ).
cnf(c_0_803,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(tc),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_136]),
[final] ).
cnf(c_0_804,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(lp,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_805,plain,
( ~ p(enc(wk,tmk))
| ~ p(i(lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_498,c_0_58]),
[final] ).
cnf(c_0_806,plain,
( p(enc(i(tmk),X1))
| ~ p(enc(tc,zcmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_499,c_0_33]) ).
cnf(c_0_807,plain,
( p(enc(i(tmk),X1))
| ~ p(i(wk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_46]) ).
cnf(c_0_808,plain,
( p(enc(i(tmk),X1))
| ~ p(enc(tmk,kk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_500,c_0_501]),
[final] ).
cnf(c_0_809,plain,
( p(X1)
| ~ p(enc(i(wk),X1))
| ~ p(zcmk) ),
inference(spm,[status(thm)],[c_0_502,c_0_503]),
[final] ).
cnf(c_0_810,plain,
( p(enc(kk,X1))
| ~ p(tc)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_504,c_0_501]),
[final] ).
cnf(c_0_811,plain,
( p(w)
| ~ p(i(wk)) ),
inference(spm,[status(thm)],[c_0_65,c_0_45]),
[final] ).
cnf(c_0_812,plain,
( p(k)
| ~ p(i(tc)) ),
inference(spm,[status(thm)],[c_0_65,c_0_141]),
[final] ).
cnf(c_0_813,plain,
( p(t2)
| ~ p(i(lp)) ),
inference(spm,[status(thm)],[c_0_65,c_0_134]),
[final] ).
cnf(c_0_814,plain,
( p(t1)
| ~ p(i(w)) ),
inference(spm,[status(thm)],[c_0_65,c_0_201]),
[final] ).
cnf(c_0_815,plain,
~ p(enc(wk,tc)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_344]),c_0_67]),
[final] ).
cnf(c_0_816,plain,
~ p(enc(wk,tmk)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_506]),c_0_67]),
[final] ).
cnf(c_0_817,plain,
( p(X1)
| ~ p(enc(wk,k))
| ~ p(enc(pp,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_818,plain,
( p(enc(pp,X1))
| ~ p(tc)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_508,c_0_52]),
[final] ).
cnf(c_0_819,plain,
~ p(i(w)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_509]),c_0_67]),
[final] ).
cnf(c_0_820,plain,
( p(X1)
| ~ p(enc(tmk,X1))
| ~ p(zcmk) ),
inference(spm,[status(thm)],[c_0_510,c_0_77]),
[final] ).
cnf(c_0_821,plain,
( p(X1)
| ~ p(enc(tmk,X1))
| ~ p(wk) ),
inference(spm,[status(thm)],[c_0_511,c_0_77]),
[final] ).
cnf(c_0_822,plain,
~ p(i(tmk)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_52]),c_0_67]),
[final] ).
cnf(c_0_823,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
| ~ p(X5)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_512,c_0_29]),
[final] ).
cnf(c_0_824,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(X3),X4)),X5)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_513,c_0_29]),
[final] ).
cnf(c_0_825,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(enc(i(zcmk),X5),X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_514,c_0_29]),
[final] ).
cnf(c_0_826,plain,
( p(enc(enc(X1,X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X5)
| ~ p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_515,c_0_29]),
[final] ).
cnf(c_0_827,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(X3),X4)),X5)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_260,c_0_29]),
[final] ).
cnf(c_0_828,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(enc(i(zcmk),X5),X3))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_829,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X5,X3))
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_830,plain,
( p(enc(enc(X1,X2),enc(i(enc(i(X3),X4)),X5)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_209,c_0_29]),
[final] ).
cnf(c_0_831,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(tmk),X3)),X4)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_518,c_0_29]),
[final] ).
cnf(c_0_832,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(enc(i(zcmk),X5),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X5)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_519,c_0_29]),
[final] ).
cnf(c_0_833,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(wk),X3)),X4)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_264,c_0_29]),
[final] ).
cnf(c_0_834,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(enc(i(zcmk),X5),X1))
| ~ p(X5)
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_520,c_0_29]),
[final] ).
cnf(c_0_835,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(enc(X5,X3))
| ~ p(X1)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_836,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(tmk,X3))
| ~ p(X2)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_521,c_0_29]),
[final] ).
cnf(c_0_837,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(tmk),X3)),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_522,c_0_29]),
[final] ).
cnf(c_0_838,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X4)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_839,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(enc(tmk,i(X2)))
| ~ p(X4)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_840,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_525,c_0_29]),
[final] ).
cnf(c_0_841,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(wk),X3)),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_29]),
[final] ).
cnf(c_0_842,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(enc(wk,i(X2)))
| ~ p(X4)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_843,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(wk,X3))
| ~ p(X2)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_527,c_0_29]),
[final] ).
cnf(c_0_844,plain,
( p(enc(enc(X1,X2),enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_528,c_0_29]),
[final] ).
cnf(c_0_845,plain,
( p(enc(enc(X1,X2),enc(i(enc(i(tmk),X3)),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_529,c_0_29]),
[final] ).
cnf(c_0_846,plain,
( p(enc(enc(X1,X2),enc(i(enc(i(wk),X3)),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_175,c_0_29]),
[final] ).
cnf(c_0_847,plain,
( p(enc(X1,enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(enc(i(zcmk),X5),X1))
| ~ p(enc(zcmk,X2))
| ~ p(X5)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_530,c_0_29]),
[final] ).
cnf(c_0_848,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(X4,X5),X3))
| ~ p(enc(zcmk,i(X4)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_513,c_0_30]),
[final] ).
cnf(c_0_849,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_531,c_0_29]),
[final] ).
cnf(c_0_850,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_532,c_0_33]),
[final] ).
cnf(c_0_851,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tmk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_533,c_0_33]),
[final] ).
cnf(c_0_852,plain,
( p(enc(enc(i(X1),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(wk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_534,c_0_33]),
[final] ).
cnf(c_0_853,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X5,X3))
| ~ p(enc(X4,X5))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_854,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(enc(i(zcmk),X3))))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_535,c_0_180]),
[final] ).
cnf(c_0_855,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,i(enc(i(zcmk),X4))))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_856,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_857,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_858,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(X2),X3))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_859,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_860,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_861,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(X2),X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_862,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_863,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_864,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(X2),X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_865,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_542,c_0_180]),
[final] ).
cnf(c_0_866,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_542,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_867,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_543,c_0_180]),
[final] ).
cnf(c_0_868,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_869,plain,
( ~ p(enc(tc,enc(i(X1),X2)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_544,c_0_180]),
[final] ).
cnf(c_0_870,plain,
( ~ p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_871,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_545,c_0_29]),
[final] ).
cnf(c_0_872,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X5,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_873,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(X2,X3)),X4)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_546,c_0_29]),
[final] ).
cnf(c_0_874,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_369,c_0_29]),
[final] ).
cnf(c_0_875,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_547,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_876,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_548,c_0_29]),
[final] ).
cnf(c_0_877,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_549,c_0_29]),
[final] ).
cnf(c_0_878,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(X5,X3))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_550,c_0_29]),
[final] ).
cnf(c_0_879,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_551,c_0_33]),
[final] ).
cnf(c_0_880,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_552,c_0_33]),
[final] ).
cnf(c_0_881,plain,
( p(enc(enc(X1,X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_553,c_0_33]),
[final] ).
cnf(c_0_882,plain,
( p(enc(enc(i(X1),X2),enc(X3,X4)))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_554,c_0_33]),
[final] ).
cnf(c_0_883,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X5,X3))
| ~ p(enc(X4,X5))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_884,plain,
( p(enc(enc(i(X1),X2),enc(X3,X4)))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_555,c_0_33]),
[final] ).
cnf(c_0_885,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_59]),c_0_30]),
[final] ).
cnf(c_0_886,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(X2,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_556,c_0_55]),
[final] ).
cnf(c_0_887,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_888,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(X2,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_558,c_0_55]),
[final] ).
cnf(c_0_889,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_890,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_891,plain,
( ~ p(enc(zcmk,enc(i(X1),X2)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_561]),c_0_29])]),
[final] ).
cnf(c_0_892,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_290]),c_0_29])]),
[final] ).
cnf(c_0_893,plain,
( ~ p(enc(zcmk,enc(i(wk),X1)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_562]),c_0_29])]),
[final] ).
cnf(c_0_894,plain,
( ~ p(enc(zcmk,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_99]),c_0_29])]),
[final] ).
cnf(c_0_895,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_214,c_0_180]),
[final] ).
cnf(c_0_896,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(enc(X1,X2),X3))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_897,plain,
( ~ p(enc(zcmk,enc(i(X1),X2)))
| ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_561]),c_0_29])]),
[final] ).
cnf(c_0_898,plain,
( ~ p(enc(zcmk,enc(i(X1),X2)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_561]),c_0_29])]),
[final] ).
cnf(c_0_899,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_290]),c_0_29])]),
[final] ).
cnf(c_0_900,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_290]),c_0_29])]),
[final] ).
cnf(c_0_901,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_563,c_0_29]),
[final] ).
cnf(c_0_902,plain,
( ~ p(enc(zcmk,enc(i(wk),X1)))
| ~ p(enc(tmk,i(wk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_562]),c_0_29])]),
[final] ).
cnf(c_0_903,plain,
( ~ p(enc(zcmk,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(wk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_99]),c_0_29])]),
[final] ).
cnf(c_0_904,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_216,c_0_180]),
[final] ).
cnf(c_0_905,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(enc(X1,X2),X3))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_906,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X2))
| ~ p(enc(tmk,X1))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_564,c_0_29]),
[final] ).
cnf(c_0_907,plain,
( ~ p(enc(zcmk,enc(i(wk),X1)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_562]),c_0_29])]),
[final] ).
cnf(c_0_908,plain,
( ~ p(enc(zcmk,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_99]),c_0_29])]),
[final] ).
cnf(c_0_909,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_217,c_0_180]),
[final] ).
cnf(c_0_910,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(enc(X1,X2),X3))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_911,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X2))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_912,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(X3,X4),X2))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(tmk,X1))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_565,c_0_30]),
[final] ).
cnf(c_0_913,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(X2,X3)),X4)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_566,c_0_29]),
[final] ).
cnf(c_0_914,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_915,plain,
( ~ p(enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3))
| ~ p(enc(tmk,i(X4)))
| ~ p(enc(zcmk,X4))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_568,c_0_29]),
[final] ).
cnf(c_0_916,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(X4,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_569,c_0_29]),
[final] ).
cnf(c_0_917,plain,
( ~ p(enc(tc,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X4)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_570,c_0_29]),
[final] ).
cnf(c_0_918,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(tc,enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_571,c_0_55]),
[final] ).
cnf(c_0_919,plain,
( ~ p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,i(X4)))
| ~ p(enc(zcmk,X4))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_572,c_0_29]),
[final] ).
cnf(c_0_920,plain,
( p(enc(w,enc(i(enc(i(wk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_573,c_0_33]),
[final] ).
cnf(c_0_921,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(enc(i(X2),X3),X4))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_574,c_0_55]),
[final] ).
cnf(c_0_922,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_575,c_0_33]),
[final] ).
cnf(c_0_923,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_924,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(w,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_576,c_0_55]),
[final] ).
cnf(c_0_925,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(lp,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_577,c_0_55]),
[final] ).
cnf(c_0_926,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(tc,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_578,c_0_55]),
[final] ).
cnf(c_0_927,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(pp,X2))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_579,c_0_55]),
[final] ).
cnf(c_0_928,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(t1)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_580,c_0_55]),
[final] ).
cnf(c_0_929,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(t2)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_581,c_0_55]),
[final] ).
cnf(c_0_930,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(k)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_582,c_0_55]),
[final] ).
cnf(c_0_931,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(wk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_583,c_0_29]),
[final] ).
cnf(c_0_932,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(tmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_584,c_0_33]),
[final] ).
cnf(c_0_933,plain,
( p(enc(w,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_934,plain,
( p(enc(w,enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_29]),
[final] ).
cnf(c_0_935,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(tmk),X2)),X3)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_585,c_0_29]),
[final] ).
cnf(c_0_936,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(tc,X2))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_937,plain,
( p(enc(enc(X1,X2),enc(i(lp),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_587,c_0_30]),
[final] ).
cnf(c_0_938,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X2,X4))
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_939,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(i(X2),X4))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_940,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(wk),X2)),X3)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_29]),
[final] ).
cnf(c_0_941,plain,
( p(enc(enc(X1,X2),enc(i(tc),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_589,c_0_30]),
[final] ).
cnf(c_0_942,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(lp),X3)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_590,c_0_29]),
[final] ).
cnf(c_0_943,plain,
( p(enc(enc(X1,X2),enc(i(w),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_591,c_0_30]),
[final] ).
cnf(c_0_944,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(tc),X3)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_592,c_0_29]),
[final] ).
cnf(c_0_945,plain,
( p(enc(enc(X1,X2),enc(i(tmk),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_593,c_0_30]),
[final] ).
cnf(c_0_946,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(w),X3)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_594,c_0_29]),
[final] ).
cnf(c_0_947,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(tmk),X3)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_595,c_0_29]),
[final] ).
cnf(c_0_948,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_949,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(enc(X2,X3)),X4))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_597,c_0_55]),
[final] ).
cnf(c_0_950,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_598,c_0_29]),
[final] ).
cnf(c_0_951,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(tmk,i(X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_403,c_0_30]),
[final] ).
cnf(c_0_952,plain,
( ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_599,c_0_30]),
[final] ).
cnf(c_0_953,plain,
( ~ p(enc(enc(X1,X2),X3))
| ~ p(enc(tmk,i(X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_600,c_0_30]),
[final] ).
cnf(c_0_954,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_955,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_956,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(i(X2),X3))
| ~ p(X4)
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_957,plain,
( p(X1)
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(enc(w,enc(X3,X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_603,c_0_30]),
[final] ).
cnf(c_0_958,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(wk,i(X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_226,c_0_30]),
[final] ).
cnf(c_0_959,plain,
( ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(wk,i(X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_287,c_0_30]),
[final] ).
cnf(c_0_960,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_604,c_0_30]),
[final] ).
cnf(c_0_961,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_406,c_0_30]),
[final] ).
cnf(c_0_962,plain,
( ~ p(enc(enc(X1,X2),X3))
| ~ p(enc(wk,i(X4)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_288,c_0_30]),
[final] ).
cnf(c_0_963,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X3,X4))
| ~ p(enc(X2,X3))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_605,c_0_30]),
[final] ).
cnf(c_0_964,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X3,X4))
| ~ p(enc(X2,X3))
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_407,c_0_30]),
[final] ).
cnf(c_0_965,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(tmk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_606,c_0_30]),
[final] ).
cnf(c_0_966,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_408,c_0_30]),
[final] ).
cnf(c_0_967,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_968,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_969,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_970,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_971,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(i(X2),X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_972,plain,
( ~ p(enc(zcmk,enc(i(X1),X2)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_561]),c_0_29])]),
[final] ).
cnf(c_0_973,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_611,c_0_55]),
[final] ).
cnf(c_0_974,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_184,c_0_30]),
[final] ).
cnf(c_0_975,plain,
( ~ p(enc(zcmk,enc(i(wk),X1)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_562]),c_0_29])]),
[final] ).
cnf(c_0_976,plain,
( ~ p(enc(zcmk,enc(i(tmk),X1)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_99]),c_0_29])]),
[final] ).
cnf(c_0_977,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_612,c_0_55]),
[final] ).
cnf(c_0_978,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_613,c_0_55]),
[final] ).
cnf(c_0_979,plain,
( ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_614,c_0_30]),
[final] ).
cnf(c_0_980,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_615,c_0_30]),
[final] ).
cnf(c_0_981,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(X1,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_616,c_0_55]),
[final] ).
cnf(c_0_982,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(X1,X2))
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_617,c_0_55]),
[final] ).
cnf(c_0_983,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_618,c_0_55]),
[final] ).
cnf(c_0_984,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,k))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_619,c_0_55]),
[final] ).
cnf(c_0_985,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_986,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(X2,X3))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_987,plain,
( ~ p(enc(zcmk,enc(i(X1),X2)))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_561]),c_0_29])]),
[final] ).
cnf(c_0_988,plain,
( ~ p(enc(zcmk,enc(i(X1),X2)))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_561]),c_0_29])]),
[final] ).
cnf(c_0_989,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_622,c_0_55]),
[final] ).
cnf(c_0_990,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_623,c_0_55]),
[final] ).
cnf(c_0_991,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_186,c_0_30]),
[final] ).
cnf(c_0_992,plain,
( ~ p(enc(zcmk,enc(i(wk),X1)))
| ~ p(enc(wk,i(wk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_562]),c_0_29])]),
[final] ).
cnf(c_0_993,plain,
( ~ p(enc(zcmk,enc(i(tmk),X1)))
| ~ p(enc(wk,i(wk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_99]),c_0_29])]),
[final] ).
cnf(c_0_994,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_624,c_0_55]),
[final] ).
cnf(c_0_995,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_625,c_0_55]),
[final] ).
cnf(c_0_996,plain,
( ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(wk,i(wk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_626,c_0_30]),
[final] ).
cnf(c_0_997,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_627,c_0_30]),
[final] ).
cnf(c_0_998,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(X1,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_628,c_0_55]),
[final] ).
cnf(c_0_999,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(X1,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_629,c_0_55]),
[final] ).
cnf(c_0_1000,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_630,c_0_55]),
[final] ).
cnf(c_0_1001,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,k))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_631,c_0_55]),
[final] ).
cnf(c_0_1002,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_632,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1003,plain,
( ~ p(enc(i(enc(X1,X2)),X3))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_414,c_0_30]),
[final] ).
cnf(c_0_1004,plain,
( ~ p(enc(tc,enc(X1,X2)))
| ~ p(enc(wk,i(tmk)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_633,c_0_30]),
[final] ).
cnf(c_0_1005,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_634,c_0_30]),
[final] ).
cnf(c_0_1006,plain,
( p(enc(X1,enc(i(X2),X3)))
| ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1007,plain,
( ~ p(enc(zcmk,enc(i(wk),X1)))
| ~ p(enc(wk,i(tmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_562]),c_0_29])]),
[final] ).
cnf(c_0_1008,plain,
( ~ p(enc(zcmk,enc(i(tmk),X1)))
| ~ p(enc(wk,i(tmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_99]),c_0_29])]),
[final] ).
cnf(c_0_1009,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_635,c_0_55]),
[final] ).
cnf(c_0_1010,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_636,c_0_55]),
[final] ).
cnf(c_0_1011,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(X1,i(X2)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_637,c_0_55]),
[final] ).
cnf(c_0_1012,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X2))
| ~ p(enc(X1,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_638,c_0_55]),
[final] ).
cnf(c_0_1013,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_639,c_0_55]),
[final] ).
cnf(c_0_1014,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(zcmk,X1))
| ~ p(enc(X1,k))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_640,c_0_55]),
[final] ).
cnf(c_0_1015,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_641,c_0_33]),
[final] ).
cnf(c_0_1016,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(tmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_642,c_0_33]),
[final] ).
cnf(c_0_1017,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(wk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_643,c_0_33]),
[final] ).
cnf(c_0_1018,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_644,c_0_33]),
[final] ).
cnf(c_0_1019,plain,
( p(enc(enc(X1,X2),enc(i(pp),X3)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_645,c_0_30]),
[final] ).
cnf(c_0_1020,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_646,c_0_29]),
[final] ).
cnf(c_0_1021,plain,
( p(enc(w,enc(i(tc),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_647,c_0_33]),
[final] ).
cnf(c_0_1022,plain,
( p(enc(w,enc(i(tmk),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_648,c_0_33]),
[final] ).
cnf(c_0_1023,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_424,c_0_294]),
[final] ).
cnf(c_0_1024,plain,
( p(X1)
| ~ p(enc(tc,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X1)))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_424,c_0_178]),
[final] ).
cnf(c_0_1025,plain,
( p(X1)
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(enc(lp,enc(X3,X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_649,c_0_30]),
[final] ).
cnf(c_0_1026,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_650,c_0_29]),
[final] ).
cnf(c_0_1027,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_651,c_0_33]),
[final] ).
cnf(c_0_1028,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_652,c_0_29]),
[final] ).
cnf(c_0_1029,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_653,c_0_33]),
[final] ).
cnf(c_0_1030,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(wk,X1))
| ~ p(enc(X4,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1031,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_654]),
[final] ).
cnf(c_0_1032,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_655]),
[final] ).
cnf(c_0_1033,plain,
( p(X1)
| ~ p(enc(w,enc(i(enc(i(X2),X3)),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_152,c_0_29]),
[final] ).
cnf(c_0_1034,plain,
( p(X1)
| ~ p(enc(w,enc(X2,X1)))
| ~ p(enc(X3,i(X2)))
| ~ p(enc(zcmk,X3)) ),
inference(spm,[status(thm)],[c_0_656,c_0_30]),
[final] ).
cnf(c_0_1035,plain,
( p(X1)
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(tmk,enc(i(X3),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_657,c_0_294]),
[final] ).
cnf(c_0_1036,plain,
( p(X1)
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(tc,enc(i(X3),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_657,c_0_178]),
[final] ).
cnf(c_0_1037,plain,
( p(X1)
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(enc(pp,enc(X3,X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_657,c_0_30]),
[final] ).
cnf(c_0_1038,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(enc(lp,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1039,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X4,X2))
| ~ p(enc(X3,X4))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1040,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(X4,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1041,plain,
( p(enc(w,X1))
| ~ p(enc(lp,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1042,plain,
( p(X1)
| ~ p(enc(pp,enc(i(w),X1))) ),
inference(spm,[status(thm)],[c_0_659,c_0_29]),
[final] ).
cnf(c_0_1043,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_660,c_0_29]),
[final] ).
cnf(c_0_1044,plain,
( p(enc(enc(i(tmk),X1),enc(i(lp),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_661,c_0_33]),
[final] ).
cnf(c_0_1045,plain,
( p(enc(enc(i(tmk),X1),enc(i(w),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_662,c_0_33]),
[final] ).
cnf(c_0_1046,plain,
( p(enc(enc(i(tmk),X1),enc(i(pp),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_663,c_0_33]),
[final] ).
cnf(c_0_1047,plain,
( ~ p(enc(wk,X1))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1048,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(enc(pp,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1049,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_665,c_0_180]),
[final] ).
cnf(c_0_1050,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1051,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_666,c_0_180]),
[final] ).
cnf(c_0_1052,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_666,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1053,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(wk),X3),X2))
| ~ p(enc(tmk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1054,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(tmk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_667,c_0_180]),
[final] ).
cnf(c_0_1055,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1056,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_668,c_0_180]),
[final] ).
cnf(c_0_1057,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1058,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(tmk),X3),X2))
| ~ p(enc(tmk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1059,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_669,c_0_180]),
[final] ).
cnf(c_0_1060,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,i(wk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_669,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1061,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_670,c_0_180]),
[final] ).
cnf(c_0_1062,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,i(tmk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1063,plain,
( ~ p(enc(wk,i(enc(i(tc),X1))))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_283]),c_0_130]),
[final] ).
cnf(c_0_1064,plain,
( ~ p(enc(tc,i(X1)))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_671,c_0_30]),
[final] ).
cnf(c_0_1065,plain,
( p(enc(enc(i(X1),X2),X3))
| ~ p(enc(tmk,X3))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1066,plain,
( p(X1)
| ~ p(enc(lp,enc(i(enc(i(X2),X3)),X1)))
| ~ p(enc(zcmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_193,c_0_29]),
[final] ).
cnf(c_0_1067,plain,
( p(X1)
| ~ p(enc(lp,enc(X2,X1)))
| ~ p(enc(X3,i(X2)))
| ~ p(enc(zcmk,X3)) ),
inference(spm,[status(thm)],[c_0_673,c_0_30]),
[final] ).
cnf(c_0_1068,plain,
( p(enc(X1,X2))
| ~ p(enc(lp,X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1069,plain,
( p(enc(enc(X1,X2),X3))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X3))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1070,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_363,c_0_30]),
[final] ).
cnf(c_0_1071,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(tmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_153,c_0_144]),
[final] ).
cnf(c_0_1072,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_156,c_0_144]),
[final] ).
cnf(c_0_1073,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_144]),
[final] ).
cnf(c_0_1074,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_675,c_0_180]),
[final] ).
cnf(c_0_1075,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1076,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(tmk,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_676,c_0_55]),
[final] ).
cnf(c_0_1077,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_677,c_0_180]),
[final] ).
cnf(c_0_1078,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_678,c_0_30]),
[final] ).
cnf(c_0_1079,plain,
( ~ p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,i(X3)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1080,plain,
( p(X1)
| ~ p(enc(tc,enc(i(X2),X1)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(spm,[status(thm)],[c_0_434,c_0_178]),
[final] ).
cnf(c_0_1081,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(X2),X1)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2)) ),
inference(spm,[status(thm)],[c_0_434,c_0_294]),
[final] ).
cnf(c_0_1082,plain,
( p(X1)
| ~ p(enc(tc,enc(X2,X1)))
| ~ p(enc(X3,i(X2)))
| ~ p(enc(zcmk,X3)) ),
inference(spm,[status(thm)],[c_0_679,c_0_178]),
[final] ).
cnf(c_0_1083,plain,
( p(X1)
| ~ p(enc(tmk,enc(X2,X1)))
| ~ p(enc(X3,i(X2)))
| ~ p(enc(zcmk,X3)) ),
inference(spm,[status(thm)],[c_0_679,c_0_294]),
[final] ).
cnf(c_0_1084,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_38]),c_0_45])]),
[final] ).
cnf(c_0_1085,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(X2),X3))
| ~ p(enc(wk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_680,c_0_55]),
[final] ).
cnf(c_0_1086,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(tmk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_46]),
[final] ).
cnf(c_0_1087,plain,
( p(enc(pp,enc(i(tc),X1)))
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_164]),c_0_45])]),
[final] ).
cnf(c_0_1088,plain,
( p(X1)
| ~ p(enc(tc,enc(i(pp),X1))) ),
inference(spm,[status(thm)],[c_0_178,c_0_29]),
[final] ).
cnf(c_0_1089,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(pp),X1))) ),
inference(spm,[status(thm)],[c_0_294,c_0_29]),
[final] ).
cnf(c_0_1090,plain,
( p(enc(pp,enc(i(tmk),X1)))
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_283]),c_0_45])]),
[final] ).
cnf(c_0_1091,plain,
( p(enc(pp,enc(i(w),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_29]),
[final] ).
cnf(c_0_1092,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(X2),X3))
| ~ p(enc(tmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_681,c_0_55]),
[final] ).
cnf(c_0_1093,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X1,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_682,c_0_55]),
[final] ).
cnf(c_0_1094,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(wk,X2))
| ~ p(enc(X1,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_682,c_0_30]),
[final] ).
cnf(c_0_1095,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X1,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_683,c_0_55]),
[final] ).
cnf(c_0_1096,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(wk,X2))
| ~ p(enc(X1,X3))
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_683,c_0_30]),
[final] ).
cnf(c_0_1097,plain,
( ~ p(enc(wk,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1098,plain,
( p(enc(enc(i(wk),X1),enc(i(w),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_685,c_0_33]),
[final] ).
cnf(c_0_1099,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_245,c_0_180]),
[final] ).
cnf(c_0_1100,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_246,c_0_180]),
[final] ).
cnf(c_0_1101,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(tmk,X1))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_30]),
[final] ).
cnf(c_0_1102,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(enc(tmk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1103,plain,
( ~ p(enc(tc,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_686,c_0_30]),
[final] ).
cnf(c_0_1104,plain,
( p(enc(enc(i(wk),X1),enc(i(pp),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_687,c_0_33]),
[final] ).
cnf(c_0_1105,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_688,c_0_30]),
[final] ).
cnf(c_0_1106,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_689,c_0_30]),
[final] ).
cnf(c_0_1107,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_438,c_0_30]),
[final] ).
cnf(c_0_1108,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(wk,i(X2)))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1109,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_690,c_0_30]),
[final] ).
cnf(c_0_1110,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X3))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_439,c_0_30]),
[final] ).
cnf(c_0_1111,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(t1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_691,c_0_30]),
[final] ).
cnf(c_0_1112,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(t2)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_692,c_0_30]),
[final] ).
cnf(c_0_1113,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(k)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_693,c_0_30]),
[final] ).
cnf(c_0_1114,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(t1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_440,c_0_30]),
[final] ).
cnf(c_0_1115,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(t2)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_441,c_0_30]),
[final] ).
cnf(c_0_1116,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(k)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_442,c_0_30]),
[final] ).
cnf(c_0_1117,plain,
( p(X1)
| ~ p(enc(lp,enc(X2,X1)))
| ~ p(enc(tmk,i(X2))) ),
inference(spm,[status(thm)],[c_0_694,c_0_30]),
[final] ).
cnf(c_0_1118,plain,
( p(X1)
| ~ p(enc(w,enc(X2,X1)))
| ~ p(enc(tmk,i(X2))) ),
inference(spm,[status(thm)],[c_0_695,c_0_30]),
[final] ).
cnf(c_0_1119,plain,
( p(X1)
| ~ p(enc(tc,enc(i(enc(i(wk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_562,c_0_29]),
[final] ).
cnf(c_0_1120,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(enc(i(wk),X2)),X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_696,c_0_29]),
[final] ).
cnf(c_0_1121,plain,
( p(X1)
| ~ p(enc(tc,enc(i(X2),X1)))
| ~ p(enc(wk,X2)) ),
inference(spm,[status(thm)],[c_0_448,c_0_149]),
[final] ).
cnf(c_0_1122,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(X2),X1)))
| ~ p(enc(wk,X2)) ),
inference(spm,[status(thm)],[c_0_448,c_0_232]),
[final] ).
cnf(c_0_1123,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(tmk,X1))
| ~ p(enc(wk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_697,c_0_30]),
[final] ).
cnf(c_0_1124,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(tmk,X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_698,c_0_30]),
[final] ).
cnf(c_0_1125,plain,
( p(X1)
| ~ p(enc(tc,enc(X2,X1)))
| ~ p(enc(wk,i(X2))) ),
inference(spm,[status(thm)],[c_0_699,c_0_149]),
[final] ).
cnf(c_0_1126,plain,
( p(X1)
| ~ p(enc(tmk,enc(X2,X1)))
| ~ p(enc(wk,i(X2))) ),
inference(spm,[status(thm)],[c_0_699,c_0_232]),
[final] ).
cnf(c_0_1127,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(wk,X1))
| ~ p(enc(wk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_446,c_0_30]),
[final] ).
cnf(c_0_1128,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(i(X2),X3))
| ~ p(enc(wk,X1))
| ~ p(enc(tmk,X2))
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_447,c_0_30]),
[final] ).
cnf(c_0_1129,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(w),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_282]),
[final] ).
cnf(c_0_1130,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,w))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_700,c_0_30]),
[final] ).
cnf(c_0_1131,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(w,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_701,c_0_30]),
[final] ).
cnf(c_0_1132,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tc,w))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_702,c_0_180]),
[final] ).
cnf(c_0_1133,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(w,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_702,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1134,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tc,w))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_703,c_0_180]),
[final] ).
cnf(c_0_1135,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(w,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1136,plain,
( p(enc(enc(i(wk),X1),enc(i(tc),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_704,c_0_33]),
[final] ).
cnf(c_0_1137,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tc,w))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_705,c_0_180]),
[final] ).
cnf(c_0_1138,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(w,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1139,plain,
( p(enc(enc(i(wk),X1),enc(i(tmk),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_706,c_0_33]),
[final] ).
cnf(c_0_1140,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_707,c_0_180]),
[final] ).
cnf(c_0_1141,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_320,c_0_180]),
[final] ).
cnf(c_0_1142,plain,
( p(enc(enc(X1,X2),t1))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_450,c_0_30]),
[final] ).
cnf(c_0_1143,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(w),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_223]),
[final] ).
cnf(c_0_1144,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(tc),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_164]),
[final] ).
cnf(c_0_1145,plain,
( p(enc(X1,t1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_708,c_0_29]),
[final] ).
cnf(c_0_1146,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(lp),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_709,c_0_55]),
[final] ).
cnf(c_0_1147,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(wk,i(zcmk)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( ~ p(enc(wk,lp))
| ~ p(enc(tc,a)) ),
inference(spm,[status(thm)],[c_0_61,c_0_710]),
[final] ).
cnf(c_0_1149,negated_conjecture,
( ~ p(enc(tmk,lp))
| ~ p(enc(tc,a)) ),
inference(spm,[status(thm)],[c_0_61,c_0_711]),
[final] ).
cnf(c_0_1150,negated_conjecture,
( ~ p(enc(wk,lp))
| ~ p(enc(tmk,a)) ),
inference(spm,[status(thm)],[c_0_61,c_0_712]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( ~ p(enc(tmk,lp))
| ~ p(enc(tmk,a)) ),
inference(spm,[status(thm)],[c_0_61,c_0_713]),
[final] ).
cnf(c_0_1152,plain,
( ~ p(enc(i(lp),X1))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_132]),
[final] ).
cnf(c_0_1153,plain,
( p(enc(pp,enc(i(lp),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_29]),
[final] ).
cnf(c_0_1154,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(lp),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_132]),
[final] ).
cnf(c_0_1155,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(lp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_132]),
[final] ).
cnf(c_0_1156,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(lp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_132]),
[final] ).
cnf(c_0_1157,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,w))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_714,c_0_30]),
[final] ).
cnf(c_0_1158,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(w,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_715,c_0_30]),
[final] ).
cnf(c_0_1159,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,w))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_716,c_0_180]),
[final] ).
cnf(c_0_1160,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(w,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1161,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,w))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_717,c_0_180]),
[final] ).
cnf(c_0_1162,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(w,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1163,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,w))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_718,c_0_180]),
[final] ).
cnf(c_0_1164,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(w,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_718,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1165,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(t1)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_719,c_0_55]),
[final] ).
cnf(c_0_1166,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(t2)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_720,c_0_55]),
[final] ).
cnf(c_0_1167,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(k)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_721,c_0_55]),
[final] ).
cnf(c_0_1168,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(pp),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_101]),
[final] ).
cnf(c_0_1169,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,tc))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_722,c_0_30]),
[final] ).
cnf(c_0_1170,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(tc,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_723,c_0_30]),
[final] ).
cnf(c_0_1171,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(i(tc))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_724,c_0_30]),
[final] ).
cnf(c_0_1172,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tc,tc))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_725,c_0_180]),
[final] ).
cnf(c_0_1173,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(enc(tc,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_725,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1174,plain,
( ~ p(enc(wk,i(zcmk)))
| ~ p(i(tc))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_725,c_0_58]),
[final] ).
cnf(c_0_1175,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tc,tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_726,c_0_180]),
[final] ).
cnf(c_0_1176,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(enc(tc,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1177,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(i(tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_726,c_0_58]),
[final] ).
cnf(c_0_1178,plain,
( p(enc(X1,enc(X2,X3)))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1179,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tc,tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_727,c_0_180]),
[final] ).
cnf(c_0_1180,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(enc(tc,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1181,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(i(tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_727,c_0_58]),
[final] ).
cnf(c_0_1182,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(tc,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1183,plain,
( ~ p(enc(wk,i(k)))
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_283]),c_0_130]),
[final] ).
cnf(c_0_1184,plain,
( p(enc(X1,X2))
| ~ p(enc(wk,X1))
| ~ p(enc(tmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1185,plain,
( ~ p(enc(wk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(pp),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]),
[final] ).
cnf(c_0_1186,plain,
( ~ p(enc(zcmk,i(k)))
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_305]),c_0_130]),
[final] ).
cnf(c_0_1187,plain,
( ~ p(enc(zcmk,i(zcmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_305]),c_0_29])]),
[final] ).
cnf(c_0_1188,plain,
( ~ p(enc(zcmk,i(tc)))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_730,c_0_305]),c_0_29])]),
[final] ).
cnf(c_0_1189,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_731,c_0_55]),
[final] ).
cnf(c_0_1190,plain,
( p(enc(enc(X1,X2),t2))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_238,c_0_30]),
[final] ).
cnf(c_0_1191,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_732,c_0_30]),
[final] ).
cnf(c_0_1192,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_733,c_0_55]),
[final] ).
cnf(c_0_1193,plain,
( p(enc(enc(X1,X2),k))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_734,c_0_30]),
[final] ).
cnf(c_0_1194,plain,
( ~ p(enc(zcmk,zcmk))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_734]),c_0_735]),
[final] ).
cnf(c_0_1195,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_736,c_0_55]),
[final] ).
cnf(c_0_1196,plain,
( p(X1)
| ~ p(enc(pp,enc(X2,X1)))
| ~ p(enc(tmk,i(X2))) ),
inference(spm,[status(thm)],[c_0_737,c_0_30]),
[final] ).
cnf(c_0_1197,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(wk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_738,c_0_180]),
[final] ).
cnf(c_0_1198,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(wk,i(wk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_327,c_0_180]),
[final] ).
cnf(c_0_1199,plain,
( ~ p(enc(tc,enc(i(wk),X1)))
| ~ p(enc(wk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_739,c_0_180]),
[final] ).
cnf(c_0_1200,plain,
( ~ p(enc(tc,enc(i(tmk),X1)))
| ~ p(enc(wk,i(tmk)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_326,c_0_180]),
[final] ).
cnf(c_0_1201,plain,
( p(X1)
| ~ p(enc(lp,enc(X2,X1)))
| ~ p(enc(wk,i(X2))) ),
inference(spm,[status(thm)],[c_0_740,c_0_30]),
[final] ).
cnf(c_0_1202,plain,
( ~ p(enc(i(pp),X1))
| ~ p(enc(tmk,i(X2)))
| ~ p(enc(zcmk,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]),
[final] ).
cnf(c_0_1203,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(i(pp),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_101]),
[final] ).
cnf(c_0_1204,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(pp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_101]),
[final] ).
cnf(c_0_1205,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(pp),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_101]),
[final] ).
cnf(c_0_1206,plain,
( p(enc(enc(i(wk),X1),t1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_741,c_0_29]),
[final] ).
cnf(c_0_1207,plain,
( ~ p(enc(tmk,i(enc(i(zcmk),X1))))
| ~ p(enc(i(tc),X2))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_136]),
[final] ).
cnf(c_0_1208,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(t1)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_742,c_0_55]),
[final] ).
cnf(c_0_1209,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(t1)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_743,c_0_55]),
[final] ).
cnf(c_0_1210,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(wk,i(wk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_738,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1211,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(t2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_744,c_0_55]),
[final] ).
cnf(c_0_1212,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(k)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_745,c_0_55]),
[final] ).
cnf(c_0_1213,plain,
( ~ p(enc(enc(i(wk),X1),X2))
| ~ p(enc(wk,i(tmk)))
| ~ p(X2)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_739,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1214,plain,
( p(enc(X1,k))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1215,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(t2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_747,c_0_55]),
[final] ).
cnf(c_0_1216,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(k)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_748,c_0_55]),
[final] ).
cnf(c_0_1217,plain,
( p(X1)
| ~ p(enc(pp,enc(X2,X1)))
| ~ p(enc(wk,i(X2))) ),
inference(spm,[status(thm)],[c_0_749,c_0_30]),
[final] ).
cnf(c_0_1218,plain,
( p(X1)
| ~ p(enc(tc,enc(X2,X1)))
| ~ p(enc(tmk,i(X2))) ),
inference(spm,[status(thm)],[c_0_750,c_0_30]),
[final] ).
cnf(c_0_1219,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_751,c_0_55]),
[final] ).
cnf(c_0_1220,plain,
( ~ p(enc(tmk,i(enc(i(tc),X1))))
| ~ p(X1)
| ~ p(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_190]),c_0_130]),
[final] ).
cnf(c_0_1221,plain,
( ~ p(enc(tc,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_752,c_0_30]),
[final] ).
cnf(c_0_1222,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_753,c_0_55]),
[final] ).
cnf(c_0_1223,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_754,c_0_30]),
[final] ).
cnf(c_0_1224,plain,
( p(X1)
| ~ p(enc(tmk,enc(enc(i(zcmk),X2),X1)))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1225,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(i(X1),X2))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_755,c_0_30]),
[final] ).
cnf(c_0_1226,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,lp))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_756,c_0_30]),
[final] ).
cnf(c_0_1227,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(lp,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_757,c_0_30]),
[final] ).
cnf(c_0_1228,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,lp))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_475,c_0_30]),
[final] ).
cnf(c_0_1229,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(lp,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_476,c_0_30]),
[final] ).
cnf(c_0_1230,plain,
( p(enc(X1,X2))
| ~ p(enc(enc(i(wk),X3),X2))
| ~ p(enc(wk,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1231,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(i(lp))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_758,c_0_30]),
[final] ).
cnf(c_0_1232,plain,
( p(X1)
| ~ p(enc(tmk,enc(X2,X1)))
| ~ p(enc(tmk,i(X2))) ),
inference(spm,[status(thm)],[c_0_759,c_0_30]),
[final] ).
cnf(c_0_1233,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(i(lp))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_477,c_0_30]),
[final] ).
cnf(c_0_1234,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,tc))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_760,c_0_30]),
[final] ).
cnf(c_0_1235,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(tc,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_761,c_0_30]),
[final] ).
cnf(c_0_1236,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(i(tc))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_762,c_0_30]),
[final] ).
cnf(c_0_1237,plain,
( ~ p(enc(wk,tc))
| ~ p(enc(zcmk,pp))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_252]),c_0_67]),
[final] ).
cnf(c_0_1238,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,pp))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_763,c_0_30]),
[final] ).
cnf(c_0_1239,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tc,pp))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_480,c_0_30]),
[final] ).
cnf(c_0_1240,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X1))
| ~ p(enc(pp,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_764,c_0_30]),
[final] ).
cnf(c_0_1241,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(wk,X1))
| ~ p(enc(pp,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_481,c_0_30]),
[final] ).
cnf(c_0_1242,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_765,c_0_55]),
[final] ).
cnf(c_0_1243,plain,
( ~ p(enc(tmk,zcmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_766,c_0_55]),
[final] ).
cnf(c_0_1244,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,pp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_767,c_0_55]),
[final] ).
cnf(c_0_1245,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(pp,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_768,c_0_55]),
[final] ).
cnf(c_0_1246,plain,
( p(X1)
| ~ p(enc(enc(i(enc(i(wk),X2)),X3),X1))
| ~ p(enc(wk,tc))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_200]),
[final] ).
cnf(c_0_1247,plain,
( p(enc(enc(i(enc(i(wk),X1)),X2),X3))
| ~ p(enc(wk,tc))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_321,c_0_200]),
[final] ).
cnf(c_0_1248,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),pp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_57]),
[final] ).
cnf(c_0_1249,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_769,c_0_55]),
[final] ).
cnf(c_0_1250,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(pp,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_770,c_0_55]),
[final] ).
cnf(c_0_1251,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_771,c_0_55]),
[final] ).
cnf(c_0_1252,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(pp,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_772,c_0_55]),
[final] ).
cnf(c_0_1253,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tc,tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_773,c_0_180]),
[final] ).
cnf(c_0_1254,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tc,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_773,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1255,plain,
( ~ p(enc(wk,tmk))
| ~ p(i(tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_773,c_0_58]),
[final] ).
cnf(c_0_1256,plain,
( ~ p(enc(zcmk,pp))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_507]),
[final] ).
cnf(c_0_1257,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tc,pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_334,c_0_180]),
[final] ).
cnf(c_0_1258,plain,
( ~ p(enc(wk,tmk))
| ~ p(k) ),
inference(spm,[status(thm)],[c_0_486,c_0_333]),
[final] ).
cnf(c_0_1259,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_774,c_0_55]),
[final] ).
cnf(c_0_1260,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(enc(wk,tmk))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_775,c_0_30]),
[final] ).
cnf(c_0_1261,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(wk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1262,plain,
( p(enc(X1,X2))
| ~ p(enc(zcmk,i(X1)))
| ~ p(enc(tmk,X2)) ),
inference(spm,[status(thm)],[c_0_776,c_0_30]),
[final] ).
cnf(c_0_1263,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_777,c_0_55]),
[final] ).
cnf(c_0_1264,plain,
( p(X1)
| ~ p(enc(tc,enc(i(w),X1))) ),
inference(spm,[status(thm)],[c_0_149,c_0_29]),
[final] ).
cnf(c_0_1265,plain,
( p(X1)
| ~ p(enc(tmk,enc(i(w),X1))) ),
inference(spm,[status(thm)],[c_0_232,c_0_29]),
[final] ).
cnf(c_0_1266,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_778,c_0_55]),
[final] ).
cnf(c_0_1267,plain,
( p(enc(X1,pp))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_779,c_0_29]),
[final] ).
cnf(c_0_1268,plain,
( ~ p(i(enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_780,c_0_29]),
[final] ).
cnf(c_0_1269,plain,
( p(X1)
| ~ p(enc(tmk,enc(X2,X1)))
| ~ p(enc(zcmk,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1270,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(i(enc(X1,X2)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_335,c_0_30]),
[final] ).
cnf(c_0_1271,plain,
( p(enc(enc(X1,X2),pp))
| ~ p(enc(zcmk,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_252,c_0_30]),
[final] ).
cnf(c_0_1272,plain,
( ~ p(enc(zcmk,tc))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_252]),c_0_67]),
[final] ).
cnf(c_0_1273,plain,
( ~ p(enc(lp,i(X1)))
| ~ p(enc(wk,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_781,c_0_30]),
[final] ).
cnf(c_0_1274,plain,
( ~ p(enc(wk,tmk))
| ~ p(i(t2)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_782]),c_0_67]),
[final] ).
cnf(c_0_1275,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(lp,kk)) ),
inference(spm,[status(thm)],[c_0_781,c_0_501]),
[final] ).
cnf(c_0_1276,plain,
( ~ p(enc(tmk,tmk))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_783]),c_0_67]),
[final] ).
cnf(c_0_1277,plain,
( p(X1)
| ~ p(enc(enc(i(enc(i(tmk),X2)),X3),X1))
| ~ p(enc(wk,tc))
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_88]),
[final] ).
cnf(c_0_1278,plain,
( ~ p(enc(tmk,i(k)))
| ~ p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_190]),c_0_130]),
[final] ).
cnf(c_0_1279,plain,
( p(enc(enc(i(enc(i(tmk),X1)),X2),X3))
| ~ p(enc(wk,tc))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_321,c_0_88]),
[final] ).
cnf(c_0_1280,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(enc(wk,tmk))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_491,c_0_30]),
[final] ).
cnf(c_0_1281,plain,
( p(enc(i(enc(i(tmk),X1)),X2))
| ~ p(enc(wk,k))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_203,c_0_88]),
[final] ).
cnf(c_0_1282,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tmk,tc))
| ~ p(X1)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_190]),c_0_29])]),
[final] ).
cnf(c_0_1283,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1284,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(wk,k))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_785,c_0_55]),
[final] ).
cnf(c_0_1285,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,lp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_786,c_0_55]),
[final] ).
cnf(c_0_1286,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(lp,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_787,c_0_55]),
[final] ).
cnf(c_0_1287,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(i(lp))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_788,c_0_55]),
[final] ).
cnf(c_0_1288,plain,
( p(X1)
| ~ p(enc(i(pp),X1))
| ~ p(lp) ),
inference(spm,[status(thm)],[c_0_789,c_0_29]),
[final] ).
cnf(c_0_1289,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,tc))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_790,c_0_180]),
[final] ).
cnf(c_0_1290,plain,
( p(X1)
| ~ p(enc(i(w),X1))
| ~ p(lp) ),
inference(spm,[status(thm)],[c_0_791,c_0_29]),
[final] ).
cnf(c_0_1291,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(enc(tc,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1292,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(i(tc))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_790,c_0_58]),
[final] ).
cnf(c_0_1293,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_55]),
[final] ).
cnf(c_0_1294,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_793,c_0_55]),
[final] ).
cnf(c_0_1295,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_498,c_0_250]),
[final] ).
cnf(c_0_1296,plain,
( ~ p(enc(tmk,wk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_794,c_0_55]),
[final] ).
cnf(c_0_1297,plain,
( ~ p(enc(zcmk,lp))
| ~ p(enc(wk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_250]),
[final] ).
cnf(c_0_1298,plain,
( ~ p(enc(tmk,i(zcmk)))
| ~ p(tc)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_790,c_0_795]),
[final] ).
cnf(c_0_1299,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_796,c_0_55]),
[final] ).
cnf(c_0_1300,plain,
( ~ p(enc(wk,i(wk)))
| ~ p(tc)
| ~ p(lp)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_494,c_0_795]),
[final] ).
cnf(c_0_1301,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(lp,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_797,c_0_55]),
[final] ).
cnf(c_0_1302,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(i(lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_798,c_0_55]),
[final] ).
cnf(c_0_1303,plain,
( ~ p(enc(wk,i(tmk)))
| ~ p(tc)
| ~ p(lp)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_795]),
[final] ).
cnf(c_0_1304,plain,
( p(enc(enc(i(wk),X1),t2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_29]),
[final] ).
cnf(c_0_1305,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_799,c_0_55]),
[final] ).
cnf(c_0_1306,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(lp,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_800,c_0_55]),
[final] ).
cnf(c_0_1307,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(i(lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_801,c_0_55]),
[final] ).
cnf(c_0_1308,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_802,c_0_180]),
[final] ).
cnf(c_0_1309,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(enc(tc,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1310,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(i(tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_802,c_0_58]),
[final] ).
cnf(c_0_1311,plain,
( ~ p(enc(tmk,i(wk)))
| ~ p(tc)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_802,c_0_795]),
[final] ).
cnf(c_0_1312,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_803,c_0_180]),
[final] ).
cnf(c_0_1313,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(enc(tc,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1314,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(i(tc))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_803,c_0_58]),
[final] ).
cnf(c_0_1315,plain,
( ~ p(enc(tmk,i(tmk)))
| ~ p(tc)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_803,c_0_795]),
[final] ).
cnf(c_0_1316,plain,
( ~ p(enc(zcmk,enc(i(tc),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_119]),
[final] ).
cnf(c_0_1317,plain,
( ~ p(enc(tc,enc(i(zcmk),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_180]),
[final] ).
cnf(c_0_1318,plain,
( ~ p(enc(wk,tmk))
| ~ p(enc(tc,lp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_498,c_0_180]),
[final] ).
cnf(c_0_1319,plain,
( ~ p(enc(wk,tmk))
| ~ p(t2) ),
inference(spm,[status(thm)],[c_0_804,c_0_134]),
[final] ).
cnf(c_0_1320,plain,
( ~ p(enc(wk,tmk))
| ~ p(lp)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_805,c_0_77]),
[final] ).
cnf(c_0_1321,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(enc(X1,X2))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_30]),
[final] ).
cnf(c_0_1322,plain,
( ~ p(i(enc(i(zcmk),X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_58]),
[final] ).
cnf(c_0_1323,plain,
( ~ p(enc(zcmk,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_180]),
[final] ).
cnf(c_0_1324,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_30]),
[final] ).
cnf(c_0_1325,plain,
( ~ p(enc(zcmk,kk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_501]),
[final] ).
cnf(c_0_1326,plain,
( ~ p(enc(zcmk,k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_411]),
[final] ).
cnf(c_0_1327,plain,
( ~ p(enc(wk,i(X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_30]),
[final] ).
cnf(c_0_1328,plain,
( ~ p(enc(tc,wk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_180]),
[final] ).
cnf(c_0_1329,plain,
( ~ p(tc)
| ~ p(w) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_509]),c_0_67]),
[final] ).
cnf(c_0_1330,plain,
( ~ p(enc(tmk,i(X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_30]),
[final] ).
cnf(c_0_1331,plain,
( ~ p(enc(tc,zcmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_806]),
[final] ).
cnf(c_0_1332,plain,
( ~ p(enc(tc,tmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_180]),
[final] ).
cnf(c_0_1333,plain,
( ~ p(i(wk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_807]),
[final] ).
cnf(c_0_1334,plain,
( ~ p(i(zcmk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_347]),
[final] ).
cnf(c_0_1335,plain,
( p(X1)
| ~ p(enc(tmk,kk))
| ~ p(enc(tmk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_808,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1336,plain,
( p(enc(wk,X1))
| ~ p(zcmk)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_809,c_0_29]),c_0_30]),
[final] ).
cnf(c_0_1337,plain,
( p(X1)
| ~ p(enc(i(tmk),X1))
| ~ p(zcmk) ),
inference(spm,[status(thm)],[c_0_503,c_0_29]),
[final] ).
cnf(c_0_1338,plain,
( p(enc(tmk,k))
| ~ p(zcmk)
| ~ p(tc) ),
inference(spm,[status(thm)],[c_0_255,c_0_141]),
[final] ).
cnf(c_0_1339,plain,
( p(enc(tmk,t2))
| ~ p(zcmk)
| ~ p(lp) ),
inference(spm,[status(thm)],[c_0_255,c_0_134]),
[final] ).
cnf(c_0_1340,plain,
( p(enc(tmk,t1))
| ~ p(zcmk)
| ~ p(w) ),
inference(spm,[status(thm)],[c_0_255,c_0_201]),
[final] ).
cnf(c_0_1341,plain,
( p(enc(X1,X2))
| ~ p(enc(tc,i(X1)))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_180,c_0_30]),
[final] ).
cnf(c_0_1342,plain,
( p(X1)
| ~ p(enc(tc,i(X2)))
| ~ p(enc(X2,X1)) ),
inference(spm,[status(thm)],[c_0_435,c_0_30]),
[final] ).
cnf(c_0_1343,plain,
( p(X1)
| ~ p(enc(i(kk),X1))
| ~ p(tc) ),
inference(spm,[status(thm)],[c_0_810,c_0_29]),
[final] ).
cnf(c_0_1344,plain,
( p(X1)
| ~ p(enc(i(X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_29]),
[final] ).
cnf(c_0_1345,plain,
( p(w)
| ~ p(wk) ),
inference(spm,[status(thm)],[c_0_811,c_0_77]),
[final] ).
cnf(c_0_1346,plain,
( p(k)
| ~ p(tc) ),
inference(spm,[status(thm)],[c_0_812,c_0_77]),
[final] ).
cnf(c_0_1347,plain,
( p(t2)
| ~ p(lp) ),
inference(spm,[status(thm)],[c_0_813,c_0_77]),
[final] ).
cnf(c_0_1348,plain,
( p(t1)
| ~ p(w) ),
inference(spm,[status(thm)],[c_0_814,c_0_77]),
[final] ).
cnf(c_0_1349,plain,
( p(X1)
| ~ p(i(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_30]),
[final] ).
cnf(c_0_1350,negated_conjecture,
~ p(enc(tc,a)),
inference(spm,[status(thm)],[c_0_61,c_0_178]),
[final] ).
cnf(c_0_1351,negated_conjecture,
~ p(enc(tmk,a)),
inference(spm,[status(thm)],[c_0_61,c_0_294]),
[final] ).
cnf(c_0_1352,plain,
~ p(enc(tmk,tc)),
inference(spm,[status(thm)],[c_0_815,c_0_55]),
[final] ).
cnf(c_0_1353,plain,
~ p(enc(tmk,tmk)),
inference(spm,[status(thm)],[c_0_816,c_0_55]),
[final] ).
cnf(c_0_1354,plain,
~ p(enc(wk,k)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_817,c_0_344]),c_0_67]),
[final] ).
cnf(c_0_1355,negated_conjecture,
~ p(lp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_789]),c_0_33])]),
[final] ).
cnf(c_0_1356,negated_conjecture,
~ p(tc),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_818]),c_0_33])]),
[final] ).
cnf(c_0_1357,plain,
~ p(enc(wk,kk)),
inference(spm,[status(thm)],[c_0_253,c_0_501]),
[final] ).
cnf(c_0_1358,plain,
~ p(w),
inference(spm,[status(thm)],[c_0_819,c_0_77]),
[final] ).
cnf(c_0_1359,plain,
~ p(enc(tmk,kk)),
inference(spm,[status(thm)],[c_0_76,c_0_501]),
[final] ).
cnf(c_0_1360,plain,
~ p(i(pp)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_344]),c_0_67]),
[final] ).
cnf(c_0_1361,plain,
~ p(zcmk),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_52]),c_0_67]),
[final] ).
cnf(c_0_1362,plain,
~ p(wk),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_52]),c_0_67]),
[final] ).
cnf(c_0_1363,plain,
~ p(tmk),
inference(spm,[status(thm)],[c_0_822,c_0_77]),
[final] ).
cnf(c_0_1364,plain,
p(enc(pp,t2)),
inference(spm,[status(thm)],[c_0_194,c_0_52]),
[final] ).
cnf(c_0_1365,plain,
p(enc(w,t2)),
inference(spm,[status(thm)],[c_0_162,c_0_45]),
[final] ).
cnf(c_0_1366,plain,
p(enc(w,k)),
inference(spm,[status(thm)],[c_0_497,c_0_45]),
[final] ).
cnf(c_0_1367,plain,
p(kk),
inference(split_conjunct,[status(thm)],[intruder_knows_6]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV238+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n019.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 05:00:14 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 12.04/8.46 % Version : CSE_E---1.7
% 12.04/8.46 % Problem : theBenchmark.p
% 12.04/8.46 % SZS status CounterSatisfiable for theBenchmark.p
% 12.04/8.46 % SZS output start Saturation
% See solution above
% 12.04/8.48 % Total time : 7.381s
%------------------------------------------------------------------------------