TSTP Solution File: SWV238+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWV238+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:43:48 EDT 2023
% Result : CounterSatisfiable 6.10s 1.20s
% Output : Saturation 6.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_50)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_27,plain,
( p(enc(wk,enc(i(tmk),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]),
[final] ).
cnf(c_0_28,plain,
enc(X1,enc(i(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_25]),
[final] ).
cnf(c_0_29,plain,
i(i(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_26]),
[final] ).
cnf(c_0_30,plain,
( p(enc(wk,X1))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_31,plain,
p(enc(tmk,pp)),
inference(split_conjunct,[status(thm)],[intruder_knows_1]),
[final] ).
cnf(c_0_36,plain,
p(enc(w,t1)),
inference(split_conjunct,[status(thm)],[intruder_knows_3]),
[final] ).
cnf(c_0_37,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_32]),
[final] ).
cnf(c_0_38,plain,
( p(enc(tmk,enc(i(enc(i(zcmk),X2)),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]),
[final] ).
cnf(c_0_39,plain,
( p(enc(enc(i(wk),X2),enc(i(lp),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]),
[final] ).
cnf(c_0_41,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_37,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_42,plain,
( p(enc(wk,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_38]),
[final] ).
cnf(c_0_45,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_46,plain,
p(enc(wk,pp)),
inference(spm,[status(thm)],[c_0_40,c_0_36]),
[final] ).
cnf(c_0_47,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_37,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_48,plain,
p(enc(wk,w)),
inference(split_conjunct,[status(thm)],[intruder_knows_2]),
[final] ).
cnf(c_0_49,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(tmk),X3)),X4)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]),
[final] ).
cnf(c_0_54,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(tmk),X2)),X3)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_27]),
[final] ).
cnf(c_0_55,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_44]),
[final] ).
cnf(c_0_56,plain,
( p(enc(pp,enc(i(lp),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_57,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_28]),c_0_29]),
[final] ).
cnf(c_0_58,plain,
( p(enc(w,enc(i(enc(i(tmk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_48]),
[final] ).
cnf(c_0_59,plain,
( p(enc(pp,enc(i(enc(i(tmk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]),
[final] ).
cnf(c_0_61,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(tmk),X4),X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_62,plain,
( p(enc(enc(i(tc),X1),X2))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]),
[final] ).
cnf(c_0_63,plain,
( p(enc(X1,X2))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_36]),
[final] ).
cnf(c_0_64,plain,
enc(i(X1),enc(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_52]),
[final] ).
cnf(c_0_66,plain,
( p(enc(enc(i(tmk),X2),enc(i(tc),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]),
[final] ).
cnf(c_0_67,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(tmk),X3),X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_68,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_55,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_69,plain,
( p(enc(pp,X1))
| ~ p(enc(lp,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_70,plain,
p(enc(lp,t2)),
inference(split_conjunct,[status(thm)],[intruder_knows_4]),
[final] ).
cnf(c_0_71,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(pp,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_31]),
[final] ).
cnf(c_0_72,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(tmk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_73,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(tmk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_74,plain,
( p(enc(enc(i(tmk),X2),enc(i(tmk),X1)))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]),
[final] ).
cnf(c_0_75,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,X4))
| ~ p(enc(X4,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_76,plain,
( p(enc(X1,X2))
| ~ p(enc(tc,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_77,plain,
p(enc(tc,k)),
inference(split_conjunct,[status(thm)],[intruder_knows_5]),
[final] ).
cnf(c_0_78,plain,
( p(X1)
| ~ p(enc(X2,X1))
| ~ p(i(X2)) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_79,plain,
( p(i(X1))
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]),
[final] ).
cnf(c_0_80,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_81,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_82,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_68,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_84,plain,
( p(enc(enc(i(wk),X1),enc(i(pp),X2)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_28]),
[final] ).
cnf(c_0_85,plain,
( p(enc(w,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_86,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_87,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_88,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(enc(i(zcmk),X4)),X5),X3))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_75,c_0_38]),
[final] ).
cnf(c_0_90,plain,
p(i(kk)),
inference(split_conjunct,[status(thm)],[intruder_knows_7]),
[final] ).
cnf(c_0_91,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_92,plain,
( p(X1)
| ~ p(enc(X2,X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_93,plain,
( p(enc(pp,enc(i(tc),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_31]),
[final] ).
cnf(c_0_94,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_81,c_0_38]),
[final] ).
cnf(c_0_95,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(enc(i(zcmk),X3)),X4),X2))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_57,c_0_38]),
[final] ).
cnf(c_0_96,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(w,X2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_48]),
[final] ).
cnf(c_0_97,plain,
p(enc(pp,t2)),
inference(spm,[status(thm)],[c_0_83,c_0_36]),
[final] ).
cnf(c_0_98,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_99,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(enc(i(zcmk),X2)),X3),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_38]),
[final] ).
cnf(c_0_100,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(enc(i(zcmk),X2)),X3),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_38]),
[final] ).
cnf(c_0_103,plain,
( p(enc(enc(i(tmk),X1),pp))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_31]),
[final] ).
cnf(c_0_104,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(enc(X5,X3))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_105,plain,
( p(enc(k,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]),
[final] ).
cnf(c_0_106,plain,
( p(enc(enc(i(tmk),X1),k))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_77]),
[final] ).
cnf(c_0_107,plain,
( p(enc(X1,X2))
| ~ p(i(X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_64]),
[final] ).
cnf(c_0_108,plain,
( p(enc(pp,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_109,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(X4,X2))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_110,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_111,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(X4,X2))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_112,plain,
( p(enc(enc(i(wk),X1),t1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_36]),
[final] ).
cnf(c_0_113,plain,
( p(enc(enc(i(wk),X1),t2))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_97]),
[final] ).
cnf(c_0_114,plain,
( p(enc(w,enc(i(pp),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_48]),
[final] ).
cnf(c_0_115,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_116,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_117,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_101]),
[final] ).
cnf(c_0_118,negated_conjecture,
~ p(enc(pp,a)),
inference(split_conjunct,[status(thm)],[c_0_102]),
[final] ).
cnf(c_0_119,plain,
p(a),
inference(split_conjunct,[status(thm)],[intruder_knows_8]),
[final] ).
cnf(c_0_120,plain,
( p(enc(X1,pp))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_121,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_37,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_122,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),k))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]),
[final] ).
cnf(c_0_123,plain,
( p(enc(X1,k))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_125,plain,
( p(enc(kk,X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_90]),
[final] ).
cnf(c_0_127,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),k))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_105]),
[final] ).
cnf(c_0_128,plain,
( p(enc(pp,enc(i(tmk),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_31]),
[final] ).
cnf(c_0_129,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),k))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_105]),
[final] ).
cnf(c_0_130,plain,
( p(enc(X1,t1))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_131,plain,
( p(enc(X1,t2))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_132,plain,
( p(enc(w,X1))
| ~ p(enc(pp,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_133,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),k))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_105]),
[final] ).
cnf(c_0_134,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),k))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_105]),
[final] ).
cnf(c_0_135,plain,
( p(enc(i(enc(i(zcmk),X1)),X2))
| ~ p(enc(tmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_136,negated_conjecture,
~ p(pp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_63]),c_0_119])]),
[final] ).
cnf(c_0_138,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_38]),
[final] ).
cnf(c_0_139,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,k))
| ~ p(enc(zcmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_140,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),k))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_38]),
[final] ).
cnf(c_0_141,plain,
( p(enc(i(enc(i(tc),X1)),X2))
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(split_conjunct,[status(thm)],[c_0_124]),
[final] ).
cnf(c_0_142,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),kk))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_125]),
[final] ).
cnf(c_0_143,plain,
p(enc(pp,k)),
inference(spm,[status(thm)],[c_0_126,c_0_36]),
[final] ).
cnf(c_0_144,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_38]),
[final] ).
cnf(c_0_145,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,k))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_146,plain,
( p(enc(enc(i(wk),X1),enc(i(tmk),X2)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_128]),
[final] ).
cnf(c_0_147,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,k))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_148,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),kk))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_125]),
[final] ).
cnf(c_0_149,plain,
( p(enc(enc(i(wk),X1),enc(i(w),X2)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_28]),
[final] ).
cnf(c_0_150,plain,
( p(enc(enc(i(tmk),X1),t1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_27]),
[final] ).
cnf(c_0_151,plain,
( p(enc(enc(i(tmk),X1),t2))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_27]),
[final] ).
cnf(c_0_152,plain,
( p(enc(w,enc(i(tmk),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_128]),
[final] ).
cnf(c_0_153,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),kk))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_125]),
[final] ).
cnf(c_0_154,plain,
( p(enc(w,X1))
| ~ p(enc(X2,k))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_155,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,k))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_156,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),kk))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_125]),
[final] ).
cnf(c_0_157,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),kk))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_125]),
[final] ).
cnf(c_0_158,plain,
( p(enc(i(enc(i(zcmk),X1)),pp))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_31]),
[final] ).
cnf(c_0_159,plain,
( ~ p(enc(i(tmk),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_103]),c_0_136]),
[final] ).
cnf(c_0_160,plain,
p(enc(pp,pp)),
inference(spm,[status(thm)],[c_0_137,c_0_36]),
[final] ).
cnf(c_0_161,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(lp,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_162,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(wk,X1))
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_163,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,enc(i(enc(i(zcmk),X4)),X5)))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X3)
| ~ p(X10)
| ~ p(X11)
| ~ p(X4)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]),
[final] ).
cnf(c_0_164,plain,
( p(enc(i(X1),X2))
| ~ p(enc(tc,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_165,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,kk))
| ~ p(enc(zcmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_166,plain,
p(kk),
inference(split_conjunct,[status(thm)],[intruder_knows_6]),
[final] ).
cnf(c_0_167,plain,
( p(X1)
| ~ p(enc(kk,X1)) ),
inference(spm,[status(thm)],[c_0_78,c_0_90]),
[final] ).
cnf(c_0_168,plain,
( p(enc(enc(i(wk),X1),k))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_143]),
[final] ).
cnf(c_0_169,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(tmk,X1))
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_170,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X8)
| ~ p(X9)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_145,c_0_140]),
[final] ).
cnf(c_0_171,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_172,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X6)
| ~ p(X7)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_147,c_0_140]),
[final] ).
cnf(c_0_173,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_55,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_174,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,kk))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_175,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_176,plain,
( p(enc(X1,t1))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_177,plain,
( p(enc(X1,t2))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_178,plain,
( p(enc(w,X1))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_179,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,kk))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_180,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_154,c_0_140]),
[final] ).
cnf(c_0_181,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_155,c_0_140]),
[final] ).
cnf(c_0_182,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_183,plain,
( p(enc(w,X1))
| ~ p(enc(X2,kk))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_184,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,kk))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_185,plain,
( ~ p(i(enc(i(zcmk),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_158]),c_0_136]),
[final] ).
cnf(c_0_186,plain,
( ~ p(enc(tmk,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_187,plain,
( p(enc(enc(i(wk),X1),pp))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_160]),
[final] ).
cnf(c_0_189,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X3)
| ~ p(X4)
| ~ p(X7)
| ~ p(X8)
| ~ p(X9)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_162,c_0_42]),
[final] ).
cnf(c_0_190,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(tmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_191,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(enc(zcmk,X5))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X3)
| ~ p(X10)
| ~ p(X11)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_192,plain,
( p(enc(i(k),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_77]),
[final] ).
cnf(c_0_193,plain,
( p(enc(i(X1),X2))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_28]),
[final] ).
cnf(c_0_194,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,enc(i(tmk),X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_139,c_0_106]),
[final] ).
cnf(c_0_195,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,enc(i(tc),X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_62]),c_0_166])]),
[final] ).
cnf(c_0_196,plain,
( p(enc(i(kk),X1))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_28]),
[final] ).
cnf(c_0_197,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,enc(i(wk),X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_139,c_0_168]),
[final] ).
cnf(c_0_198,plain,
( p(enc(X1,k))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_199,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X3)
| ~ p(X4)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_169,c_0_38]),
[final] ).
cnf(c_0_200,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(zcmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X8)
| ~ p(X9)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_201,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_171,c_0_38]),
[final] ).
cnf(c_0_202,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(zcmk,X4))
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X6)
| ~ p(X7)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_203,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(wk),X3)),X4)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_42]),
[final] ).
cnf(c_0_204,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,enc(i(tmk),X3)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_145,c_0_106]),
[final] ).
cnf(c_0_205,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,enc(i(tc),X3)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_62]),c_0_166])]),
[final] ).
cnf(c_0_206,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,enc(i(wk),X3)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_145,c_0_168]),
[final] ).
cnf(c_0_207,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(w),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_175,c_0_42]),
[final] ).
cnf(c_0_208,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(lp),X3)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_42]),
[final] ).
cnf(c_0_209,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(pp),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_42]),
[final] ).
cnf(c_0_210,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(wk),X2)),X3)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_27]),
[final] ).
cnf(c_0_211,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_212,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_213,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),t1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_176,c_0_38]),
[final] ).
cnf(c_0_214,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),t2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_177,c_0_38]),
[final] ).
cnf(c_0_215,plain,
( p(enc(w,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_178,c_0_38]),
[final] ).
cnf(c_0_216,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,enc(i(tmk),X3)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_147,c_0_106]),
[final] ).
cnf(c_0_217,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,enc(i(tc),X3)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_62]),c_0_166])]),
[final] ).
cnf(c_0_218,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,enc(i(wk),X3)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_147,c_0_168]),
[final] ).
cnf(c_0_219,plain,
( p(enc(i(enc(i(zcmk),X1)),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_135,c_0_38]),
[final] ).
cnf(c_0_220,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_221,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_222,plain,
( p(enc(enc(i(tmk),X1),enc(i(lp),X2)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_27]),
[final] ).
cnf(c_0_223,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(tc),X3)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_38]),
[final] ).
cnf(c_0_224,plain,
( p(enc(pp,enc(i(enc(i(zcmk),X1)),X2)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_182,c_0_38]),
[final] ).
cnf(c_0_225,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(tmk),X3)))
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_38]),
[final] ).
cnf(c_0_226,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),pp))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_38]),
[final] ).
cnf(c_0_227,plain,
( p(enc(enc(i(wk),X1),enc(i(tc),X2)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_93]),
[final] ).
cnf(c_0_228,plain,
( p(enc(w,enc(i(enc(i(wk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_48]),
[final] ).
cnf(c_0_229,plain,
( p(enc(pp,enc(i(enc(i(wk),X1)),X2)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_173,c_0_46]),
[final] ).
cnf(c_0_230,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,enc(i(tmk),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_106]),
[final] ).
cnf(c_0_231,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,enc(i(tc),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_62]),c_0_166])]),
[final] ).
cnf(c_0_232,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,enc(i(wk),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_168]),
[final] ).
cnf(c_0_233,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,enc(i(tmk),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_106]),
[final] ).
cnf(c_0_234,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,enc(i(tc),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_62]),c_0_166])]),
[final] ).
cnf(c_0_235,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,enc(i(wk),X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_168]),
[final] ).
cnf(c_0_236,plain,
( p(enc(w,enc(i(tc),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_93]),
[final] ).
cnf(c_0_237,plain,
( ~ p(enc(zcmk,X1))
| ~ p(i(X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_238,plain,
( p(X1)
| ~ p(enc(i(X2),X1))
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_28]),
[final] ).
cnf(c_0_239,plain,
( p(enc(w,enc(i(lp),X1)))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]),
[final] ).
cnf(c_0_240,plain,
( ~ p(enc(i(enc(i(zcmk),X1)),X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_186,c_0_38]),
[final] ).
cnf(c_0_241,plain,
( p(enc(X1,pp))
| ~ p(enc(wk,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_243,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(enc(i(zcmk),X5),X1))
| ~ p(X4)
| ~ p(X6)
| ~ p(X2)
| ~ p(X3)
| ~ p(X7)
| ~ p(X8)
| ~ p(X9)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_244,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_190,c_0_38]),
[final] ).
cnf(c_0_245,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),enc(i(zcmk),X5)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X3)
| ~ p(X10)
| ~ p(X11)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_191,c_0_28]),
[final] ).
cnf(c_0_246,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),i(enc(i(tc),X5))))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X10)
| ~ p(X3)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_104,c_0_141]),
[final] ).
cnf(c_0_247,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),enc(i(tc),X5)))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X10)
| ~ p(X3)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_104,c_0_62]),
[final] ).
cnf(c_0_248,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(enc(i(zcmk),X5),X3))
| ~ p(X4)
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_104,c_0_28]),
[final] ).
cnf(c_0_249,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(enc(i(zcmk),X5),i(X3)))
| ~ p(X4)
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_104,c_0_64]),
[final] ).
cnf(c_0_250,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,i(enc(i(tc),X4))))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_141]),c_0_166])]),
[final] ).
cnf(c_0_251,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),i(k)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X4)
| ~ p(X9)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_192]),
[final] ).
cnf(c_0_252,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),i(X5)))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X3)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_104,c_0_193]),
[final] ).
cnf(c_0_253,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(tmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_254,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(tc,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_255,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),i(kk)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_196]),
[final] ).
cnf(c_0_256,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(wk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_257,plain,
p(enc(w,k)),
inference(spm,[status(thm)],[c_0_198,c_0_48]),
[final] ).
cnf(c_0_258,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(X5)
| ~ p(X6)
| ~ p(X2)
| ~ p(X3)
| ~ p(X7)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_259,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X4)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_260,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),w))
| ~ p(enc(enc(i(zcmk),X3),wk))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_48]),
[final] ).
cnf(c_0_261,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),enc(i(zcmk),X4)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X8)
| ~ p(X9)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_200,c_0_28]),
[final] ).
cnf(c_0_262,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(enc(i(tc),X4))))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X8)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_109,c_0_141]),
[final] ).
cnf(c_0_263,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_264,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),enc(i(tc),X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X8)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_109,c_0_62]),
[final] ).
cnf(c_0_265,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),enc(i(zcmk),X4)))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X6)
| ~ p(X7)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_202,c_0_28]),
[final] ).
cnf(c_0_266,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X2))
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_109,c_0_28]),
[final] ).
cnf(c_0_267,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_268,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(wk),X4),X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_269,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(enc(i(zcmk),X4),X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_270,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(enc(i(tc),X4))))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X6)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_141]),
[final] ).
cnf(c_0_271,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(enc(i(zcmk),X4),i(X2)))
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_109,c_0_64]),
[final] ).
cnf(c_0_272,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,i(enc(i(tc),X3))))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_141]),c_0_166])]),
[final] ).
cnf(c_0_273,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(k)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X3)
| ~ p(X7)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_192]),
[final] ).
cnf(c_0_274,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(X4)))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_109,c_0_193]),
[final] ).
cnf(c_0_275,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_276,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_277,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(kk)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_196]),
[final] ).
cnf(c_0_278,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(wk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_279,plain,
( p(enc(enc(i(tmk),X1),w))
| ~ p(enc(enc(i(zcmk),X2),wk))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_48]),
[final] ).
cnf(c_0_280,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_281,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(lp,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_282,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_283,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_284,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),enc(i(tc),X4)))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X6)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_62]),
[final] ).
cnf(c_0_285,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(wk),X3),X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_286,plain,
( p(enc(w,enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_211,c_0_38]),
[final] ).
cnf(c_0_287,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(enc(i(zcmk),X4),X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X5)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_28]),
[final] ).
cnf(c_0_288,plain,
( p(enc(pp,enc(i(enc(i(enc(i(zcmk),X1)),X2)),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_212,c_0_38]),
[final] ).
cnf(c_0_289,plain,
( p(enc(X1,t1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_290,plain,
( p(enc(enc(i(wk),X1),enc(X2,X3)))
| ~ p(enc(enc(i(zcmk),X4),i(X2)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X5)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_64]),
[final] ).
cnf(c_0_291,plain,
( p(enc(X1,t2))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_292,plain,
( p(enc(enc(i(tmk),X1),enc(i(w),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_27]),
[final] ).
cnf(c_0_293,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_294,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,i(enc(i(tc),X3))))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_141]),c_0_166])]),
[final] ).
cnf(c_0_295,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(k)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_192]),
[final] ).
cnf(c_0_296,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(X4)))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X2)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_111,c_0_193]),
[final] ).
cnf(c_0_297,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tmk,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_298,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(tc,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_299,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(kk)))
| ~ p(X1)
| ~ p(X4)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_196]),
[final] ).
cnf(c_0_300,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(wk,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_301,plain,
( p(enc(enc(i(wk),X1),w))
| ~ p(enc(enc(i(zcmk),X2),wk))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_48]),
[final] ).
cnf(c_0_302,plain,
( p(enc(enc(i(tmk),X1),enc(i(pp),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_27]),
[final] ).
cnf(c_0_303,plain,
( p(enc(i(enc(i(zcmk),X1)),X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_304,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_220,c_0_28]),
[final] ).
cnf(c_0_305,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_221,c_0_28]),
[final] ).
cnf(c_0_306,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(lp,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_307,plain,
( p(enc(X1,k))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_308,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_309,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_310,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_311,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),i(enc(i(tc),X3))))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_141]),
[final] ).
cnf(c_0_312,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_313,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),i(enc(i(tc),X3))))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_141]),
[final] ).
cnf(c_0_314,plain,
( p(enc(X1,pp))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_315,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_316,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tc,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_317,plain,
( p(enc(wk,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_318,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),enc(i(tc),X3)))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_62]),
[final] ).
cnf(c_0_319,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),enc(i(tc),X3)))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_62]),
[final] ).
cnf(c_0_320,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_28]),
[final] ).
cnf(c_0_321,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(enc(i(zcmk),X3),i(X1)))
| ~ p(X2)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_64]),
[final] ).
cnf(c_0_322,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(enc(i(zcmk),X3),X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_28]),
[final] ).
cnf(c_0_323,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(enc(i(zcmk),X3),i(X1)))
| ~ p(X2)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_64]),
[final] ).
cnf(c_0_324,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(wk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_325,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,i(enc(i(tc),X2))))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_141]),c_0_166])]),
[final] ).
cnf(c_0_326,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(wk),X2),X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_327,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),i(k)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X4)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_192]),
[final] ).
cnf(c_0_328,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(X4)
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_193]),
[final] ).
cnf(c_0_329,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(tmk,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_330,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_331,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),i(kk)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_196]),
[final] ).
cnf(c_0_332,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(wk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_333,plain,
( p(enc(w,w))
| ~ p(enc(enc(i(zcmk),X1),wk))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_48]),
[final] ).
cnf(c_0_334,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,i(enc(i(tc),X2))))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_141]),c_0_166])]),
[final] ).
cnf(c_0_335,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),i(k)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X4)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_192]),
[final] ).
cnf(c_0_336,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(X4)
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_193]),
[final] ).
cnf(c_0_337,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(tmk,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_338,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_339,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),i(kk)))
| ~ p(X3)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_196]),
[final] ).
cnf(c_0_340,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(wk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_341,plain,
( p(enc(pp,w))
| ~ p(enc(enc(i(zcmk),X1),wk))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_48]),
[final] ).
cnf(c_0_342,plain,
( p(enc(pp,enc(i(w),X1)))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_46]),
[final] ).
cnf(c_0_343,plain,
( p(enc(w,X1))
| ~ p(enc(tc,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_344,plain,
( ~ p(enc(i(wk),X1))
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_187]),c_0_136]),
[final] ).
cnf(c_0_345,plain,
( ~ p(enc(zcmk,kk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_237,c_0_90]),
[final] ).
cnf(c_0_346,plain,
( ~ p(enc(i(zcmk),X1))
| ~ p(X2)
| ~ p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_158]),c_0_136]),
[final] ).
cnf(c_0_347,plain,
( p(enc(w,X1))
| ~ p(enc(lp,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_348,plain,
( ~ p(enc(enc(i(zcmk),X1),X2))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_349,plain,
( p(enc(tmk,X1))
| ~ p(enc(enc(i(zcmk),X2),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_350,plain,
( p(X1)
| ~ p(enc(enc(i(tc),X2),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_351,plain,
( p(X1)
| ~ p(enc(i(enc(i(tc),X2)),X1))
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_28]),
[final] ).
cnf(c_0_352,plain,
p(enc(w,pp)),
inference(spm,[status(thm)],[c_0_241,c_0_48]),
[final] ).
cnf(c_0_354,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(X6)
| ~ p(X2)
| ~ p(X3)
| ~ p(X7)
| ~ p(X8)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_355,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(enc(i(zcmk),X3)),X4)),X5)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X6)
| ~ p(X3)
| ~ p(X4)
| ~ p(X7)
| ~ p(X8)
| ~ p(X9)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_356,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(enc(i(X3),X4)),X5)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X4)
| ~ p(X7)
| ~ p(X8)
| ~ p(X9)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_357,plain,
( p(enc(X1,enc(i(enc(i(enc(i(zcmk),X2)),X3)),X4)))
| ~ p(enc(tmk,X1))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_358,plain,
( p(enc(enc(i(tmk),X1),enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_359,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,enc(i(zcmk),X5)))
| ~ p(enc(zcmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X3)
| ~ p(X10)
| ~ p(X11) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_360,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,enc(i(X4),X5)))
| ~ p(enc(zcmk,X4))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X3)
| ~ p(X10)
| ~ p(X11)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_361,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,i(enc(i(tc),X5))))
| ~ p(enc(zcmk,X4))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X10)
| ~ p(X3)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_362,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),i(X5)))
| ~ p(enc(tc,X5))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X10)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_363,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,enc(i(tc),X5)))
| ~ p(enc(zcmk,X4))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X10)
| ~ p(X3)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_364,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(enc(tc,X5))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X10)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_365,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X5))
| ~ p(enc(X5,X3))
| ~ p(X4)
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_366,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(X3,X4)))
| ~ p(enc(X5,i(X3)))
| ~ p(enc(zcmk,X5))
| ~ p(X4)
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_367,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,i(X4)))
| ~ p(enc(tc,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_368,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,i(k)))
| ~ p(enc(zcmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X9)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_369,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(zcmk),X4),X5))
| ~ p(i(X5))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X4)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_252,c_0_29]),
[final] ).
cnf(c_0_370,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,i(X5)))
| ~ p(enc(zcmk,X4))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X3)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_371,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,enc(i(zcmk),X4)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9) ),
inference(spm,[status(thm)],[c_0_253,c_0_28]),
[final] ).
cnf(c_0_372,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tc,enc(i(zcmk),X4)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3)
| ~ p(X9) ),
inference(spm,[status(thm)],[c_0_254,c_0_28]),
[final] ).
cnf(c_0_373,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(X4,i(kk)))
| ~ p(enc(zcmk,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_374,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,enc(i(zcmk),X4)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X8)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_256,c_0_28]),
[final] ).
cnf(c_0_375,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,tc))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_77]),
[final] ).
cnf(c_0_376,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,pp))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_143]),
[final] ).
cnf(c_0_377,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,w))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_257]),
[final] ).
cnf(c_0_378,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(zcmk),X3)),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X5)
| ~ p(X6)
| ~ p(X3)
| ~ p(X4)
| ~ p(X7)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_379,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X5)
| ~ p(X6)
| ~ p(X2)
| ~ p(X3)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_380,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_381,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X4)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_382,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,i(k)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3)
| ~ p(X8) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_192]),c_0_166])]),
[final] ).
cnf(c_0_383,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,i(kk)))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_196]),c_0_166])]),
[final] ).
cnf(c_0_384,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(zcmk,k))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_105]),c_0_166])]),
[final] ).
cnf(c_0_385,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),w))
| ~ p(enc(X3,wk))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_386,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(enc(i(X4),X5),X3))
| ~ p(enc(zcmk,X4))
| ~ p(X6)
| ~ p(X7)
| ~ p(X8)
| ~ p(X1)
| ~ p(X2)
| ~ p(X9)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_387,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,enc(i(zcmk),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X8)
| ~ p(X9) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_388,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,enc(i(X3),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X8)
| ~ p(X9)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_389,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,i(enc(i(tc),X4))))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X8)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_390,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(X4)))
| ~ p(enc(tc,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X8)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_391,plain,
( p(enc(X1,enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(wk,X1))
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_392,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_393,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_394,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,enc(i(tc),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X8)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_395,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(tc,X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X8)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_396,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(wk),X3)),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_397,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(wk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_398,plain,
( p(enc(enc(i(X1),X2),enc(i(enc(i(tmk),X3)),X4)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_399,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),enc(i(X3),X4)))
| ~ p(enc(tmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_400,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,enc(i(zcmk),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X6)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_401,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,enc(i(X3),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X6)
| ~ p(X7)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_402,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_403,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_404,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(wk,X4))
| ~ p(enc(X4,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_405,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_406,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,i(enc(i(tc),X4))))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_407,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),i(X4)))
| ~ p(enc(tc,X4))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_408,plain,
( p(enc(enc(i(tmk),X1),enc(X2,X3)))
| ~ p(enc(X4,i(X2)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_409,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_410,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,i(k)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X7)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_411,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(i(X4))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_274,c_0_29]),
[final] ).
cnf(c_0_412,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,i(X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_413,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tmk,enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7) ),
inference(spm,[status(thm)],[c_0_275,c_0_28]),
[final] ).
cnf(c_0_414,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(tc,enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2)
| ~ p(X7) ),
inference(spm,[status(thm)],[c_0_276,c_0_28]),
[final] ).
cnf(c_0_415,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(X3,i(kk)))
| ~ p(enc(zcmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_416,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X6)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_278,c_0_28]),
[final] ).
cnf(c_0_417,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,tc))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_77]),
[final] ).
cnf(c_0_418,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,w))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_257]),
[final] ).
cnf(c_0_419,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,pp))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_143]),
[final] ).
cnf(c_0_420,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,i(k)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_192]),c_0_166])]),
[final] ).
cnf(c_0_421,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,i(kk)))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_196]),c_0_166])]),
[final] ).
cnf(c_0_422,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,k))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_105]),c_0_166])]),
[final] ).
cnf(c_0_423,plain,
( p(enc(enc(i(tmk),X1),w))
| ~ p(enc(X2,wk))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_424,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(enc(i(X3),X4),X2))
| ~ p(enc(zcmk,X3))
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X7)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_425,plain,
( p(enc(enc(i(X1),X2),enc(i(w),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_426,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_427,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(w,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_428,plain,
( p(enc(enc(i(X1),X2),enc(i(lp),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_429,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(lp)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_281,c_0_63]),
[final] ).
cnf(c_0_430,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X6)
| ~ p(X7) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_431,plain,
( p(enc(enc(i(X1),X2),enc(i(pp),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_432,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2)
| ~ p(X4)
| ~ p(X5)
| ~ p(X6) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_433,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(pp,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X6)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_434,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,enc(i(tc),X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_435,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(enc(tc,X4))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X6)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_436,plain,
( p(enc(enc(i(wk),X1),enc(i(enc(i(X2),X3)),X4)))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_437,plain,
( p(enc(X1,enc(i(enc(i(wk),X2)),X3)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_438,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(wk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_439,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(wk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_440,plain,
( p(enc(w,enc(i(enc(i(X1),X2)),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_441,plain,
( p(enc(enc(i(wk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X4))
| ~ p(enc(X4,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_442,plain,
( p(enc(pp,enc(i(enc(i(X1),X2)),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_443,plain,
( p(enc(X1,enc(i(enc(i(tmk),X2)),X3)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_444,plain,
( p(enc(X1,t1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_445,plain,
( p(enc(enc(i(X1),X2),t1))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_446,plain,
( p(enc(enc(i(wk),X1),enc(X2,X3)))
| ~ p(enc(X4,i(X2)))
| ~ p(enc(zcmk,X4))
| ~ p(X3)
| ~ p(X1)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_447,plain,
( p(enc(X1,t2))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_448,plain,
( p(enc(enc(i(X1),X2),t2))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_449,plain,
( p(enc(X1,enc(i(w),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_450,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(w,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_451,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_452,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_453,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,i(X3)))
| ~ p(enc(tc,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_454,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,i(k)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_455,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(zcmk),X3),X4))
| ~ p(i(X4))
| ~ p(X1)
| ~ p(X5)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_296,c_0_29]),
[final] ).
cnf(c_0_456,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,i(X4)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X5)
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_457,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tmk,enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_297,c_0_28]),
[final] ).
cnf(c_0_458,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(tc,enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(spm,[status(thm)],[c_0_298,c_0_28]),
[final] ).
cnf(c_0_459,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(X3,i(kk)))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_460,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(wk,enc(i(zcmk),X3)))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_300,c_0_28]),
[final] ).
cnf(c_0_461,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,tc))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_77]),
[final] ).
cnf(c_0_462,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,w))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_257]),
[final] ).
cnf(c_0_463,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,pp))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_143]),
[final] ).
cnf(c_0_464,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,i(k)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2)
| ~ p(X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_192]),c_0_166])]),
[final] ).
cnf(c_0_465,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,i(kk)))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_196]),c_0_166])]),
[final] ).
cnf(c_0_466,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(zcmk,k))
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_105]),c_0_166])]),
[final] ).
cnf(c_0_467,plain,
( p(enc(enc(i(wk),X1),w))
| ~ p(enc(X2,wk))
| ~ p(enc(zcmk,X2))
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_468,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(enc(enc(i(X3),X4),X2))
| ~ p(enc(zcmk,X3))
| ~ p(X1)
| ~ p(X5)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_469,plain,
( p(enc(i(X1),enc(i(enc(i(zcmk),X2)),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X5)
| ~ p(X2)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_470,plain,
( p(enc(i(enc(i(zcmk),X1)),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_471,plain,
( p(enc(X1,enc(i(pp),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_472,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(pp,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_473,plain,
( p(enc(i(enc(i(zcmk),X1)),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_474,plain,
( p(enc(w,X1))
| ~ p(enc(X2,enc(i(zcmk),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_475,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,enc(i(zcmk),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_476,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_477,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X6)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_478,plain,
( p(enc(X1,enc(i(lp),X2)))
| ~ p(enc(tmk,X1))
| ~ p(X3)
| ~ p(X2)
| ~ p(X4)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_479,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(lp)
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_306,c_0_63]),
[final] ).
cnf(c_0_480,plain,
( p(enc(X1,k))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_481,plain,
( p(enc(enc(i(X1),X2),k))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_482,plain,
( p(enc(enc(i(X1),X2),enc(i(tc),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_483,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(tc)
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2)
| ~ p(X3) ),
inference(spm,[status(thm)],[c_0_308,c_0_63]),
[final] ).
cnf(c_0_484,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_485,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_486,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_487,plain,
( p(enc(w,X1))
| ~ p(enc(X2,i(enc(i(tc),X3))))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_488,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_489,plain,
( p(enc(enc(i(X1),X2),enc(i(tmk),X3)))
| ~ p(enc(zcmk,X1))
| ~ p(X4)
| ~ p(X3)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_490,plain,
( p(enc(enc(i(enc(i(zcmk),X1)),X2),X3))
| ~ p(enc(tmk,X3))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_491,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_492,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,i(enc(i(tc),X3))))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_493,plain,
( p(enc(X1,pp))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_494,plain,
( p(enc(enc(i(X1),X2),pp))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_495,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),i(X3)))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_496,plain,
( p(enc(enc(i(tmk),X1),enc(i(X2),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_497,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X5) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_498,plain,
( p(enc(X1,enc(i(tc),X2)))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_499,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(tc)
| ~ p(X1)
| ~ p(X3)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_316,c_0_63]),
[final] ).
cnf(c_0_500,plain,
( p(enc(X1,enc(i(tmk),X2)))
| ~ p(enc(wk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_501,plain,
( p(enc(wk,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_317,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_502,plain,
( p(enc(wk,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X5)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_503,plain,
( p(enc(w,X1))
| ~ p(enc(X2,enc(i(tc),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_504,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_505,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,enc(i(tc),X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X5)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_506,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(enc(tc,X3))
| ~ p(X4)
| ~ p(X2)
| ~ p(X5)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_507,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_508,plain,
( p(enc(w,enc(X1,X2)))
| ~ p(enc(X3,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_509,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(zcmk,X3))
| ~ p(enc(X3,X1))
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_510,plain,
( p(enc(pp,enc(X1,X2)))
| ~ p(enc(X3,i(X1)))
| ~ p(enc(zcmk,X3))
| ~ p(X2)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_511,plain,
( p(enc(w,enc(i(X1),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_512,plain,
( p(enc(w,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_513,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_514,plain,
( p(enc(pp,enc(i(X1),X2)))
| ~ p(enc(wk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_515,plain,
( p(enc(pp,X1))
| ~ p(enc(wk,X2))
| ~ p(enc(X2,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_516,plain,
( p(enc(w,X1))
| ~ p(enc(X2,i(k)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_517,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(i(X3))
| ~ p(X4)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_328,c_0_29]),
[final] ).
cnf(c_0_518,plain,
( p(enc(w,X1))
| ~ p(enc(X2,i(X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_519,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_55,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_520,plain,
( p(enc(w,X1))
| ~ p(enc(tmk,enc(i(zcmk),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_329,c_0_28]),
[final] ).
cnf(c_0_521,plain,
( p(enc(w,X1))
| ~ p(enc(tc,enc(i(zcmk),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_330,c_0_28]),
[final] ).
cnf(c_0_522,plain,
( p(enc(w,X1))
| ~ p(enc(X2,i(kk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_523,plain,
( p(enc(w,X1))
| ~ p(enc(wk,enc(i(zcmk),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_332,c_0_28]),
[final] ).
cnf(c_0_524,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,tc))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_77]),
[final] ).
cnf(c_0_525,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,pp))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_143]),
[final] ).
cnf(c_0_526,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,w))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_257]),
[final] ).
cnf(c_0_527,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,i(k)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_192]),c_0_166])]),
[final] ).
cnf(c_0_528,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,i(kk)))
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_196]),c_0_166])]),
[final] ).
cnf(c_0_529,plain,
( p(enc(w,X1))
| ~ p(enc(zcmk,k))
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_105]),c_0_166])]),
[final] ).
cnf(c_0_530,plain,
( p(enc(w,w))
| ~ p(enc(X1,wk))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_531,plain,
( p(enc(w,X1))
| ~ p(enc(enc(i(X2),X3),X1))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_532,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,i(X2)))
| ~ p(enc(tc,X2))
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_533,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,i(k)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X4)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_534,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(zcmk),X2),X3))
| ~ p(i(X3))
| ~ p(X4)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_336,c_0_29]),
[final] ).
cnf(c_0_535,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,i(X3)))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X1)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_536,plain,
( p(enc(pp,X1))
| ~ p(enc(tmk,enc(i(zcmk),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_337,c_0_28]),
[final] ).
cnf(c_0_537,plain,
( p(enc(pp,X1))
| ~ p(enc(tc,enc(i(zcmk),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1)
| ~ p(X4) ),
inference(spm,[status(thm)],[c_0_338,c_0_28]),
[final] ).
cnf(c_0_538,plain,
( p(enc(pp,X1))
| ~ p(enc(X2,i(kk)))
| ~ p(enc(zcmk,X2))
| ~ p(X3)
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_539,plain,
( p(enc(pp,X1))
| ~ p(enc(wk,enc(i(zcmk),X2)))
| ~ p(X2)
| ~ p(X3)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_340,c_0_28]),
[final] ).
cnf(c_0_540,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,tc))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_77]),
[final] ).
cnf(c_0_541,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,pp))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_143]),
[final] ).
cnf(c_0_542,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,w))
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_257]),
[final] ).
cnf(c_0_543,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,i(k)))
| ~ p(X2)
| ~ p(X1)
| ~ p(X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_192]),c_0_166])]),
[final] ).
cnf(c_0_544,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,i(kk)))
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_196]),c_0_166])]),
[final] ).
cnf(c_0_545,plain,
( p(enc(pp,X1))
| ~ p(enc(zcmk,k))
| ~ p(X2)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_105]),c_0_166])]),
[final] ).
cnf(c_0_546,plain,
( p(enc(pp,w))
| ~ p(enc(X1,wk))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_547,plain,
( p(enc(pp,X1))
| ~ p(enc(enc(i(X2),X3),X1))
| ~ p(enc(zcmk,X2))
| ~ p(X4)
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_548,plain,
( p(enc(pp,X1))
| ~ p(enc(w,X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_549,plain,
( p(enc(w,X1))
| ~ p(tc)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_343,c_0_63]),
[final] ).
cnf(c_0_550,plain,
( ~ p(enc(wk,X1))
| ~ p(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_551,plain,
( ~ p(i(wk))
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_344,c_0_63]),
[final] ).
cnf(c_0_552,plain,
( ~ p(enc(zcmk,i(X1)))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_237,c_0_29]),
[final] ).
cnf(c_0_553,plain,
( ~ p(zcmk)
| ~ p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_63]),c_0_166])]),
[final] ).
cnf(c_0_554,plain,
( ~ p(enc(zcmk,X1))
| ~ p(X1)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_555,plain,
( p(enc(i(X1),pp))
| ~ p(enc(zcmk,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_556,plain,
( ~ p(i(zcmk))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_346,c_0_63]),
[final] ).
cnf(c_0_557,plain,
( p(enc(i(X1),enc(i(tmk),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_558,plain,
( p(enc(w,X1))
| ~ p(lp)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_347,c_0_63]),
[final] ).
cnf(c_0_559,plain,
( p(enc(pp,X1))
| ~ p(lp)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_63]),
[final] ).
cnf(c_0_560,plain,
( p(enc(tmk,enc(i(X1),X2)))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_561,plain,
( p(enc(enc(i(wk),X1),X2))
| ~ p(lp)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_63]),
[final] ).
cnf(c_0_562,plain,
( p(enc(pp,X1))
| ~ p(tc)
| ~ p(X2)
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_63]),
[final] ).
cnf(c_0_563,plain,
( p(enc(enc(i(tmk),X1),X2))
| ~ p(tc)
| ~ p(X3)
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_63]),
[final] ).
cnf(c_0_564,plain,
( ~ p(enc(zcmk,X1))
| ~ p(enc(X1,X2))
| ~ p(X2)
| ~ p(X3)
| ~ p(X4) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_565,plain,
( ~ p(enc(i(X1),X2))
| ~ p(enc(zcmk,X1))
| ~ p(X3)
| ~ p(X4)
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_566,plain,
( ~ p(i(tmk))
| ~ p(X1)
| ~ p(X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_63]),
[final] ).
cnf(c_0_567,plain,
( p(enc(tmk,X1))
| ~ p(enc(zcmk,X2))
| ~ p(enc(X2,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_568,plain,
( p(X1)
| ~ p(enc(tc,X2))
| ~ p(enc(X2,X1))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_569,plain,
( p(X1)
| ~ p(enc(k,X1))
| ~ p(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_570,plain,
( p(X1)
| ~ p(enc(i(X2),X1))
| ~ p(enc(tc,X2))
| ~ p(X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_28]),c_0_29]),
[final] ).
cnf(c_0_571,plain,
( p(X1)
| ~ p(enc(i(k),X1)) ),
inference(spm,[status(thm)],[c_0_105,c_0_28]),
[final] ).
cnf(c_0_572,plain,
( p(X1)
| ~ p(enc(i(kk),X1)) ),
inference(spm,[status(thm)],[c_0_125,c_0_28]),
[final] ).
cnf(c_0_573,plain,
( p(k)
| ~ p(tc) ),
inference(spm,[status(thm)],[c_0_92,c_0_77]),
[final] ).
cnf(c_0_574,plain,
( p(t2)
| ~ p(lp) ),
inference(spm,[status(thm)],[c_0_92,c_0_70]),
[final] ).
cnf(c_0_575,plain,
( p(X1)
| ~ p(i(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_29]),
[final] ).
cnf(c_0_576,plain,
~ p(w),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_352]),c_0_136]),
[final] ).
cnf(c_0_577,plain,
~ p(wk),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_46]),c_0_136]),
[final] ).
cnf(c_0_578,plain,
~ p(tmk),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_31]),c_0_136]),
[final] ).
cnf(c_0_579,plain,
p(enc(pp,t1)),
inference(spm,[status(thm)],[c_0_130,c_0_46]),
[final] ).
cnf(c_0_580,plain,
p(enc(w,t2)),
inference(spm,[status(thm)],[c_0_353,c_0_36]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV238+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Oct 3 04:12:54 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.15/0.43 Running first-order theorem proving
% 0.15/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.qoZhfDNNLT/E---3.1_5510.p
% 6.10/1.20 # Version: 3.1pre001
% 6.10/1.20 # Preprocessing class: FSMSSMSMSSSNFFN.
% 6.10/1.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.10/1.20 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.10/1.20 # Starting new_bool_3 with 300s (1) cores
% 6.10/1.20 # Starting new_bool_1 with 300s (1) cores
% 6.10/1.20 # Starting sh5l with 300s (1) cores
% 6.10/1.20 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 5588 completed with status 1
% 6.10/1.20 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 6.10/1.20 # Preprocessing class: FSMSSMSMSSSNFFN.
% 6.10/1.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.10/1.20 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.10/1.20 # No SInE strategy applied
% 6.10/1.20 # Search class: FHUSS-FFMM21-MFFFFFNN
% 6.10/1.20 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.10/1.20 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 6.10/1.20 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 6.10/1.20 # Starting new_bool_3 with 136s (1) cores
% 6.10/1.20 # Starting new_bool_1 with 136s (1) cores
% 6.10/1.20 # Starting sh5l with 136s (1) cores
% 6.10/1.20 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 5595 completed with status 1
% 6.10/1.20 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 6.10/1.20 # Preprocessing class: FSMSSMSMSSSNFFN.
% 6.10/1.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.10/1.20 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 6.10/1.20 # No SInE strategy applied
% 6.10/1.20 # Search class: FHUSS-FFMM21-MFFFFFNN
% 6.10/1.20 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.10/1.20 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 6.10/1.20 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 6.10/1.20 # Preprocessing time : 0.001 s
% 6.10/1.20 # Presaturation interreduction done
% 6.10/1.20
% 6.10/1.20 # No proof found!
% 6.10/1.20 # SZS status CounterSatisfiable
% 6.10/1.20 # SZS output start Saturation
% See solution above
% 6.10/1.20 # Parsed axioms : 24
% 6.10/1.20 # Removed by relevancy pruning/SinE : 0
% 6.10/1.20 # Initial clauses : 24
% 6.10/1.20 # Removed in clause preprocessing : 0
% 6.10/1.20 # Initial clauses in saturation : 24
% 6.10/1.20 # Processed clauses : 8928
% 6.10/1.20 # ...of these trivial : 1
% 6.10/1.20 # ...subsumed : 8301
% 6.10/1.20 # ...remaining for further processing : 626
% 6.10/1.20 # Other redundant clauses eliminated : 0
% 6.10/1.20 # Clauses deleted for lack of memory : 0
% 6.10/1.20 # Backward-subsumed : 71
% 6.10/1.20 # Backward-rewritten : 0
% 6.10/1.20 # Generated clauses : 9315
% 6.10/1.20 # ...of the previous two non-redundant : 9150
% 6.10/1.20 # ...aggressively subsumed : 0
% 6.10/1.20 # Contextual simplify-reflections : 3
% 6.10/1.20 # Paramodulations : 9315
% 6.10/1.20 # Factorizations : 0
% 6.10/1.20 # NegExts : 0
% 6.10/1.20 # Equation resolutions : 0
% 6.10/1.20 # Total rewrite steps : 507
% 6.10/1.20 # Propositional unsat checks : 0
% 6.10/1.20 # Propositional check models : 0
% 6.10/1.20 # Propositional check unsatisfiable : 0
% 6.10/1.20 # Propositional clauses : 0
% 6.10/1.20 # Propositional clauses after purity: 0
% 6.10/1.20 # Propositional unsat core size : 0
% 6.10/1.20 # Propositional preprocessing time : 0.000
% 6.10/1.20 # Propositional encoding time : 0.000
% 6.10/1.20 # Propositional solver time : 0.000
% 6.10/1.20 # Success case prop preproc time : 0.000
% 6.10/1.20 # Success case prop encoding time : 0.000
% 6.10/1.20 # Success case prop solver time : 0.000
% 6.10/1.20 # Current number of processed clauses : 531
% 6.10/1.20 # Positive orientable unit clauses : 19
% 6.10/1.20 # Positive unorientable unit clauses: 0
% 6.10/1.20 # Negative unit clauses : 5
% 6.10/1.20 # Non-unit-clauses : 507
% 6.10/1.20 # Current number of unprocessed clauses: 0
% 6.10/1.20 # ...number of literals in the above : 0
% 6.10/1.20 # Current number of archived formulas : 0
% 6.10/1.20 # Current number of archived clauses : 95
% 6.10/1.20 # Clause-clause subsumption calls (NU) : 1075240
% 6.10/1.20 # Rec. Clause-clause subsumption calls : 42048
% 6.10/1.20 # Non-unit clause-clause subsumptions : 8175
% 6.10/1.20 # Unit Clause-clause subsumption calls : 209
% 6.10/1.20 # Rewrite failures with RHS unbound : 0
% 6.10/1.20 # BW rewrite match attempts : 5
% 6.10/1.20 # BW rewrite match successes : 5
% 6.10/1.20 # Condensation attempts : 0
% 6.10/1.20 # Condensation successes : 0
% 6.10/1.20 # Termbank termtop insertions : 225751
% 6.10/1.20
% 6.10/1.20 # -------------------------------------------------
% 6.10/1.20 # User time : 0.749 s
% 6.10/1.20 # System time : 0.008 s
% 6.10/1.20 # Total time : 0.758 s
% 6.10/1.20 # Maximum resident set size: 1856 pages
% 6.10/1.20
% 6.10/1.20 # -------------------------------------------------
% 6.10/1.20 # User time : 3.725 s
% 6.10/1.20 # System time : 0.018 s
% 6.10/1.20 # Total time : 3.743 s
% 6.10/1.20 # Maximum resident set size: 1728 pages
% 6.10/1.20 % E---3.1 exiting
% 6.10/1.20 % E---3.1 exiting
%------------------------------------------------------------------------------